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Section 2-6 will introduce basic concepts that will help you to understand \
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}], "Text"],

Cell[CellGroupData[{

Cell["Headline", "Section",
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  ShowCellBracket->True,
  ShowGroupOpenCloseIcon->False,
  CellBracketOptions->{"Color"->RGBColor[1, 0, 0]},
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  FontWeight->"Bold"],

Cell["text 1", "Text",
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  CellBracketOptions->{"Color"->RGBColor[1, 0, 0]}],

Cell["text 2", "Text",
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}, Open  ]],

Cell["\<\
Try a double click on the group bracket. This will close the group which \
means that only the first cell is visible. A new double click will reopen the \
group. As you might have noticed it is also possible to use \[RightTriangle] \
and \[EmptyDownTriangle] instead of group brackets as in the example below. \
Use single click to open/close the group.\
\>", "Text"],

Cell[CellGroupData[{

Cell["Headline", "Section",
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Cell["text 1", "Text",
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Cell["text 2", "Text",
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}, Closed]],

Cell["\<\
The use of \[RightTriangle] and \[EmptyDownTriangle] is set by the menu \
Format - Option Inspector (only advanced users). However, during the \
development visible cell brackets are recommended.\
\>", "Text"],

Cell[TextData[{
  "All the cells are building a document called a ",
  StyleBox["notebook",
    FontColor->RGBColor[1, 0, 0]],
  ". The front end is used to edit notebooks and the kernel execute them. \
Further, the front end is a programmable interface with many capabilities, \
such as buttons. Look at the example below (Press Start button).\n"
}], "Text"],

Cell[BoxData[
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                    SelectedNotebook[ ], All, ButtonCell], 
                  SelectionMove[ 
                    SelectedNotebook[ ], Next, CellGroup], 
                  SelectionAnimate[ 
                    SelectedNotebook[ ], AnimationDisplayTime -> .05]],
              Active->True,
              ButtonStyle->None,
              Background->RGBColor[0, 0.500008, 0.500008]], 
            ButtonBox[
              StyleBox["Stop",
                FontWeight->"Bold",
                FontColor->GrayLevel[1]],
              ButtonFunction:>Null,
              Active->True,
              Background->RGBColor[0.500008, 0, 0]]}
          },
        RowSpacings->0,
        ColumnSpacings->0,
        GridDefaultElement:>ButtonBox[ "\\[Placeholder]"]], TextForm]], "Text",\

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Cell[TextData[{
  "\nThis notebook \[OpenCurlyDoubleQuote]Introduction to Mathematica\
\[CloseCurlyDoubleQuote], however, will not deal with front end programming. \
Instead, it will concentrate on the communication with the kernel. \n\n",
  "Note",
  ": There is a free ware called ",
  ButtonBox["MathReader"],
  " which can be used to read notebooks. With MathReader you can not edit or \
execute notebooks, but you can read notebooks and run front end programs, \
like the animation example above."
}], "Text"],

Cell[TextData[{
  "Concepts or properties that you should know:",
  "\n\n",
  Cell[BoxData[
      StyleBox[GridBox[{
            {"\[FilledSmallCircle]", \(front\ end\)},
            {"\[FilledSmallCircle]", "kernel"},
            {"\[FilledSmallCircle]", "cell"},
            {"\[FilledSmallCircle]", \(cell\ bracket\)},
            {"\[FilledSmallCircle]", "group"},
            {"\[FilledSmallCircle]", "notebook"}
            }],
        FontFamily->"Times New Roman"]]],
  "\n"
}], "FramedBox"]
}, Closed]],

Cell[CellGroupData[{

Cell["3 A First Calculation", "Section"],

Cell["\<\
In the following sections you shall use your own notebook so create a new \
notebook by selecting File - New in the menu. At the top of the new notebook \
there is a horizontal line. This line indicates where a new cell will be \
created if you enter text. Be sure the your new notebook is active (click the \
title bar) and write \[OpenCurlyDoubleQuote]A Simple Calculation\
\[CloseCurlyDoubleQuote]. You have now created a new cell. Like this: \
\>", "Text",
  CellTags->"Tag_2"],

Cell[BoxData[
    \(A\ Simple\ Calculation\)], "Input"],

Cell[TextData[{
  "The style of this cell is by default ",
  StyleBox["Input",
    FontWeight->"Bold"],
  ". Cells with style Input are supposed to contain Mathematica executable \
code. Since the content of this cell is not code it is advisable to change \
the style to Text or some other style, e.g. Section style. In your new \
notebook select the cell (click the cell bracket) and at the menu bar choose \
Fo",
  StyleBox["r",
    FontVariations->{"Underline"->True}],
  "mat - ",
  StyleBox["S",
    FontVariations->{"Underline"->True}],
  "tyle - Section. The cell will now look like this:"
}], "Text",
  CellTags->"Tag_2"],

Cell[TextData[StyleBox["A Simple Calculation",
  FontFamily->"Arial",
  FontSize->20,
  FontColor->GrayLevel[0]]], "Section",
  CellFrame->{{0, 0}, {0, 2}},
  ShowCellBracket->True,
  ShowGroupOpenCloseIcon->False],

Cell["\<\
In your new notebook click below the cell. Notice the horizontal line. Write \
the text \[OpenCurlyDoubleQuote]The calculation of \
1+2\[CloseCurlyDoubleQuote]. Change the style of the new cell to Text. Then \
insert a new cell with \[OpenCurlyDoubleQuote]1+2\[CloseCurlyDoubleQuote] but \
don't change the default Input style. The content of your notebook should be:\
\
\>", "Text",
  CellTags->"Tag_2"],

Cell[CellGroupData[{

Cell[TextData[StyleBox["A Simple Calculation",
  FontFamily->"Arial",
  FontSize->20,
  FontColor->GrayLevel[0]]], "Section",
  CellFrame->{{0, 0}, {0, 2}},
  ShowCellBracket->True,
  ShowGroupOpenCloseIcon->False],

Cell["The calculation of 1+2", "Text",
  ShowCellBracket->True],

Cell[BoxData[
    \(1 + 2\)], "Input"]
}, Open  ]],

Cell[TextData[{
  "Now, (at last) we're ready to test the capacity of Mathematica. In order \
to send the input cell with 1+2 to the kernel click inside the cell (there \
should be a blinking text cursor in the cell) or select the cell bracket then \
",
  StyleBox["press",
    FontWeight->"Bold"],
  StyleBox[" \[ShiftKey]\[LeftModified]\[ReturnIndicator]\[RightModified] or \
\[EnterKey] to send the cell to kernel",
    FontWeight->"Bold"],
  ". The \[EnterKey] key is located at the numerical keyboard. Since this is \
the first calculation the kernel is probably loaded before the calculation \
take place and then an output cell is returned. If you select the outer group \
bracket and press\[ShiftKey]\[LeftModified]\[ReturnIndicator]\[RightModified] \
or \[EnterKey] only the Input cells are evaluated by the kernel. Try! Your \
notebook should now look something like this:"
}], "Text",
  CellTags->"Tag_2"],

Cell[CellGroupData[{

Cell[TextData[StyleBox["A Simple Calculation",
  FontFamily->"Arial",
  FontSize->20,
  FontColor->GrayLevel[0]]], "Section",
  CellFrame->{{0, 0}, {0, 2}},
  ShowCellBracket->True,
  ShowGroupOpenCloseIcon->False],

Cell["The calculation of 1+2", "Text",
  ShowCellBracket->True],

Cell[CellGroupData[{

Cell[BoxData[
    \(1 + 2\)], "Input",
  CellLabel->"In[1]:="],

Cell[BoxData[
    \(3\)], "Output",
  CellLabel->"Out[1]="]
}, Open  ]]
}, Open  ]],

Cell[TextData[{
  "The input cell is labeled with ",
  StyleBox["In[1]:=",
    FontFamily->"Arial",
    FontSize->10,
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098]],
  " and the output cell with ",
  StyleBox["Out[1]=",
    FontFamily->"Arial",
    FontSize->10,
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098]],
  ". If you try to edit the output cell a new input cell is created where you \
can use the output to enter further calculations. "
}], "Text",
  CellTags->"Tag_3"],

Cell[TextData[{
  "As second calculation expand the expression ",
  Cell[BoxData[
      \(TraditionalForm\`\((x + y)\)\^10\)]],
  " by entering ",
  StyleBox["Expand[(x\[NonBreakingSpace]+\[NonBreakingSpace]y)^10]", 
    "Program"],
  ". You can refer to the previous output by ",
  StyleBox["%", "Program"],
  ". Now try ",
  StyleBox["Factor[%\[NonBreakingSpace]-\[NonBreakingSpace]y^10]", 
    "Program"],
  "."
}], "Text"],

Cell[TextData[{
  "We have mentioned that different cells have different styles, e.g. Input, \
Text or Section. The outlook of all styles are controlled by the ",
  StyleBox["style sheet",
    FontWeight->"Bold"],
  " of your notebook. Select your new notebook window (Untitled-1). Click the \
menu Format - Style sheet - Classroom. Notice the change."
}], "Text",
  CellTags->"Tag_3"],

Cell[TextData[{
  "The last step in this section is to ",
  StyleBox["save your notebook",
    FontWeight->"Bold"],
  ": Select your new notebook window (Untitled-1). Click the menu File - Save \
and enter a file name (",
  StyleBox["myFirst", "Program"],
  "), but don't enter the file extension ",
  StyleBox[".nb", "Program"],
  ". You have now created your first notebook  ",
  StyleBox["myFirst.nb", "Program"],
  "."
}], "Text",
  CellTags->"Tag_5"],

Cell[TextData[{
  "Concepts or properties that you should know:",
  "\n\n",
  Cell[BoxData[
      StyleBox[GridBox[{
            {
              "\[FilledSmallCircle]", \(How\ to\ change\ cell\ \(\(style\)\(.\
\)\)\)},
            {
              "\[FilledSmallCircle]", \(Why\ Input\ style\ is\ \
\(\(special\)\(.\)\)\)},
            {
              "\[FilledSmallCircle]", \(How\ to\ send\ a\ cell\ to\ \
\(\(kernel\)\(.\)\)\)},
            {
              "\[FilledSmallCircle]", \(What\ happens\ when\ you\ send\ a\ \
group\ of\ cells\ to\ \(\(kernel\)\(?\)\)\)},
            {
              "\[FilledSmallCircle]", \(How\ do\ you\ know\ where\ a\ cell\ \
is\ created\ in\ the\ \(\(notebook\)\(?\)\)\)}
            }],
        FontFamily->"Times New Roman"]]],
  "\n"
}], "FramedBox"]
}, Closed]],

Cell[CellGroupData[{

Cell["4 Basic Principles", "Section"],

Cell["\<\
When using the default setting in front end notice the following general \
rules:\
\>", "Text"],

Cell[TextData[{
  "\[FilledSmallCircle]\tall ",
  StyleBox["built-in",
    FontWeight->"Bold"],
  " symbols or expressions begin with a ",
  StyleBox["capital",
    FontWeight->"Bold"],
  ", e.g. ",
  StyleBox["P", "Input",
    FontColor->RGBColor[1, 0, 0]],
  StyleBox["i", "Input"],
  " or ",
  StyleBox["S", "Input",
    FontColor->RGBColor[1, 0, 0]],
  StyleBox["implify", "Input"],
  ".\n\[FilledSmallCircle]\tfunction parentheses are ",
  StyleBox["square brackets",
    FontWeight->"Bold"],
  ", e.g. ",
  StyleBox["Sin", "Input"],
  StyleBox["[", "Input",
    FontColor->RGBColor[1, 0, 0]],
  StyleBox["Pi/3", "Input"],
  StyleBox["]", "Input",
    FontColor->RGBColor[1, 0, 0]],
  " or ",
  StyleBox["f", "Input"],
  StyleBox["[", "Input",
    FontColor->RGBColor[1, 0, 0]],
  StyleBox["x-y", "Input"],
  StyleBox["]\n", "Input",
    FontColor->RGBColor[1, 0, 0]],
  "\[FilledSmallCircle]\t",
  StyleBox["numerical output",
    FontWeight->"Bold"],
  " is given by ",
  StyleBox["N[", "Input",
    FontColor->RGBColor[1, 0, 0]],
  StyleBox["expr", "Input"],
  StyleBox["]", "Input",
    FontColor->RGBColor[1, 0, 0]],
  "\n\[FilledSmallCircle]\tmultiplication is denoted ",
  StyleBox["*", "Input"],
  " or space, e.g. ",
  StyleBox["x*y", "Input"],
  " or ",
  StyleBox["x y\n", "Input"],
  "\[FilledSmallCircle]\tmultiplication sign can be omitted when unambiguous, \
e.g. ",
  StyleBox["a(b-c)", "Input"],
  " or ",
  StyleBox["3a\n", "Input"],
  "\[FilledSmallCircle]\t",
  StyleBox["lists",
    FontWeight->"Bold"],
  " are symbolized with ",
  StyleBox["curly brackets",
    FontWeight->"Bold"],
  ", e.g. ",
  StyleBox["{", "Input",
    FontColor->RGBColor[1, 0, 0]],
  StyleBox["a,b,c", "Input"],
  StyleBox["}", "Input",
    FontColor->RGBColor[1, 0, 0]],
  StyleBox["\n", "Input"],
  "\[FilledSmallCircle]\telements (in a list) are indexed by double square \
brackets, e.g. if  ",
  StyleBox["myList={a,b,c}", "Input"],
  " then ",
  StyleBox["myList", "Input"],
  StyleBox["[[", "Input",
    FontColor->RGBColor[1, 0, 0]],
  StyleBox["3", "Input"],
  StyleBox["]]", "Input",
    FontColor->RGBColor[1, 0, 0]],
  " corresponds to ",
  StyleBox["c\n", "Input"],
  "\[FilledSmallCircle]\tuse semicolon (",
  StyleBox[";", "Input"],
  ") to suppress the output, e.g. ",
  StyleBox["x=longexpr1+longexpr2;", "Input"],
  "\n"
}], "Text"],

Cell["Try the following in your notebook myFirst.nb.", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Sin[Pi/3]\)], "Input",
  CellLabel->"In[1]:="],

Cell[BoxData[
    \(\@3\/2\)], "Output",
  CellLabel->"Out[1]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(N[Sin[Pi/3]]\)], "Input",
  CellLabel->"In[2]:="],

Cell[BoxData[
    \(0.8660254037844386`\)], "Output",
  CellLabel->"Out[2]="]
}, Open  ]],

Cell[TextData[{
  "Mathematica did compute a numerical result from the exact result ",
  Cell[BoxData[
      \(TraditionalForm\`\@3\/2\)]],
  " which was input to the function N[]. If you enter exact numbers, e.g. \
\[Pi], 3, ",
  Cell[BoxData[
      \(TraditionalForm\`\@17\)]],
  ", etc. Mathematica tries to compute an exact result. However, if you enter \
floating point numbers, e.g., 3.14, 3.0, ",
  Cell[BoxData[
      \(TraditionalForm\`\@17.0\)]],
  ", etc. Mathematica computes a floating point result. Try to enter \
Sin[Pi/3.0].\nAs a next example let's look at a compound input:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(x = 2;\)\), "\[IndentingNewLine]", 
    \(\(y = 3;\)\), "\[IndentingNewLine]", 
    \(x\ y\)}], "Input",
  CellLabel->"In[3]:="],

Cell[BoxData[
    \(6\)], "Output",
  CellLabel->"Out[5]="]
}, Open  ]],

Cell["\<\
Notice that the output is suppressed for the first to lines, ending with ;. \
The ; also separates the statements.
Double square brackets are used to extract parts of a list:\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(myList = {a, b, c}\)], "Input",
  CellLabel->"In[6]:="],

Cell[BoxData[
    \({a, b, c}\)], "Output",
  CellLabel->"Out[6]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(myList[\([3]\)]\)], "Input",
  CellLabel->"In[7]:="],

Cell[BoxData[
    \(c\)], "Output",
  CellLabel->"Out[7]="]
}, Open  ]],

Cell["\<\
As you've seen above you can assign a value to a symbol by using an equal \
sign, (e.g. x=2). In order to clear its value you just enter\
\>", "Text"],

Cell[BoxData[
    \(Clear[x]\)], "Input",
  CellLabel->"In[8]:="],

Cell[TextData[{
  "Now the value of ",
  Cell[BoxData[
      \(TraditionalForm\`x\ y\)]],
  " is "
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(x\ y\)], "Input",
  CellLabel->"In[9]:="],

Cell[BoxData[
    \(3\ x\)], "Output",
  CellLabel->"Out[9]="]
}, Open  ]],

Cell[TextData[{
  "In order to clear several symbols you just give the as a sequence, e.g.\n\t\
",
  StyleBox["Clear[x,y,a]", "Output"],
  "\nMany times you want fast help with syntax. There's an extensive help \
available through the menu ",
  StyleBox["H",
    FontVariations->{"Underline"->True}],
  "elp, however there is also a command line help with ",
  StyleBox["?", "Program",
    FontWeight->"Bold",
    FontColor->RGBColor[1, 0, 0]],
  StyleBox["symbol", "Program"],
  " which can be used for both built-in symbols and your own definitions, \
e.g."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(?Sin\)\)], "Input",
  CellLabel->"In[10]:="],

Cell[BoxData[
    RowBox[{"\<\"Sin[z] gives the sine of z.\"\>", " ", 
      ButtonBox[
        StyleBox["More\[Ellipsis]",
          "SR"],
        ButtonData:>"Sin",
        Active->True,
        ButtonStyle->"RefGuideLink"]}]], "Print",
  CellTags->"Info3356945256-2052975"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(?myList\)\)], "Input",
  CellLabel->"In[11]:="],

Cell["Global`myList", "Print",
  CellTags->"Info3356945262-1644998"],

Cell[BoxData[
    InterpretationBox[GridBox[{
          {GridBox[{
                {\(myList = {a, b, c}\)}
                },
              GridBaseline->{Baseline, {1, 1}},
              ColumnWidths->0.999,
              ColumnAlignments->{Left}]}
          },
        GridBaseline->{Baseline, {1, 1}},
        ColumnAlignments->{Left}],
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  CellTags->"Info3356945262-1644998"]
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Cell[TextData[{
  "The ",
  StyleBox["Global`", "Program"],
  " is the ",
  StyleBox["context",
    FontWeight->"Bold"],
  " of the symbol which can be seen as the directory of the symbol. The \
context concept will be explained in the next section. Another way to get \
help is that when the text cursor is inside a built-in symbol then press ",
  Cell[BoxData[
      FormBox[
        FrameBox["F1",
          BoxMargins->{{0.2, 0.2}, {0.4, 0.4}}], TraditionalForm]]],
  " and you will be directed to the help text. Try to position (click) the \
text cursor in ",
  StyleBox["Sin", "Output"],
  " above and then press ",
  Cell[BoxData[
      FormBox[
        FrameBox["F1",
          BoxMargins->{{0.2, 0.2}, {0.4, 0.4}}], TraditionalForm]]],
  "."
}], "Text"],

Cell[TextData[{
  StyleBox["Note",
    FontSlant->"Italic"],
  ": If you are in trouble with your front end you might want to reset the \
front end. In order to start Mathematica with default settings do the \
following:\n",
  StyleBox["Windows",
    ShowCellBracket->False,
    FontWeight->"Bold"],
  StyleBox[" \nHold down ",
    ShowCellBracket->False],
  "\[ShiftKey]\[KeyBar]\[ControlKey]",
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    ShowCellBracket->False],
  StyleBox["X",
    ShowCellBracket->False,
    FontWeight->"Bold"],
  StyleBox[" \nStart the front end with   ",
    ShowCellBracket->False],
  StyleBox["mathematica -clean\n", "Program",
    ShowCellBracket->False],
  StyleBox["Macintosh",
    ShowCellBracket->False,
    FontWeight->"Bold"],
  StyleBox[" \nHold down ",
    ShowCellBracket->False],
  "\[ShiftKey]\[KeyBar]\[OptionKey]",
  StyleBox[" during startup",
    ShowCellBracket->False]
}], "Text",
  CellFrame->{{0, 0}, {0, 0.25}}],

Cell["\<\
Because you're not yet an expert sometimes you will be in trouble running \
kernel commands, e.g. entering infinite loops. The following tricks are then \
valuable:\
\>", "Text"],

Cell[TextData[{
  "Interrupt evaluation: \t\t",
  Cell[BoxData[
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              RowBox[{
                RowBox[{"Windows", ":", 
                  StyleBox["\[AltKey]\[LeftModified]",
                    "Input"]}], 
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                StyleBox["\[RightModified]",
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                  StyleBox["\[AltKey]\[LeftModified]",
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                StyleBox["\[RightModified]",
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                  StyleBox["\[CommandKey]\[LeftModified]",
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                StyleBox["\[RightModified]",
                  "Input"]}]}
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  StyleBox["\t\t\t", "Input"]
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  CellDingbat->"\[GrayCircle]"],

Cell[TextData[{
  "There is also a menu choice to interrupt: ",
  StyleBox["K",
    FontVariations->{"Underline"->True}],
  "ernel - Interrupt Evaluation.... When you interrupt you will get a menu \
(after some time) with different choices, e.g. continue or abort."
}], "Text"],

Cell[TextData[{
  "Quit kernel: Enter command  ",
  StyleBox["Quit[]", "Input"]
}], "Text",
  CellDingbat->"\[GrayCircle]"],

Cell[TextData[{
  "This will quit and end the connection to kernel. When you enter the next \
command you will meet a new kernel that has forgotten all your mistakes. \
Sometimes you cannot even enter the command",
  StyleBox[" ", "Output"],
  StyleBox["Quit[]", "Program"],
  " then use the menu alternative ",
  StyleBox["K",
    FontVariations->{"Underline"->True}],
  "ernel - Quit Kernel."
}], "Text",
  CellTags->"Tag_1"],

Cell["Try to interrupt the following infinite loop:", "Text",
  CellTags->"Tag_1"],

Cell[BoxData[{
    \(\(i = 0;\)\), "\[IndentingNewLine]", 
    \(While[\ 
      True, \[IndentingNewLine]Print[i]; \[IndentingNewLine]Pause[
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    FontWeight->"Bold"],
  "\n\n",
  Cell[BoxData[
      StyleBox[GridBox[{
            {
              "\[FilledSmallCircle]", \(What\ do\ you\ know\ about\ the\ \
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            {
              "\[FilledSmallCircle]", \(How\ do\ you\ write\ function\ \
\(\(parentheses\)\(?\)\)\)},
            {
              "\[FilledSmallCircle]", \(How\ do\ you\ get\ a\ numerical\ \
output\ \(\((two\ answers)\)\(?\)\)\)},
            {"\[FilledSmallCircle]", 
              RowBox[{
              "What", " ", "is", " ", "the", " ", "difference", " ", 
                "between", " ", 
                StyleBox["xy",
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                StyleBox["x",
                  FontFamily->"Courier New"], " ", 
                RowBox[{
                  StyleBox["y",
                    FontFamily->"Courier New"], "?"}]}]},
            {
              "\[FilledSmallCircle]", \(What\ is\ a\ list\ and\ how\ can\ you\
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            {
              "\[FilledSmallCircle]", \(How\ do\ you\ suppress\ \
\(\(output\)\(?\)\)\)},
            {
              "\[FilledSmallCircle]", \(How\ do\ get\ command\ line\ \(\(help\
\)\(?\)\)\)}
            }],
        FontFamily->"Times New Roman"]]],
  "\n"
}], "FramedBox"]
}, Closed]],

Cell[CellGroupData[{

Cell["5 Contexts", "Section"],

Cell["In the previous section we did the following definition", "Text"],

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  CellLabel->"In[1]:="],

Cell[BoxData[
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Cell["and then we asked Mathematica about myList with", "Text"],

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Cell[BoxData[
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Cell["Global`myList", "Print",
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    FontColor->RGBColor[1, 0, 0]],
  " of the symbol, which can be seen as the directory (e.g. ",
  StyleBox["Global/myList", "Program"],
  " ) of the symbol. Mathematica puts different symbols in different contexts \
in order to avoid ambiguousness. By default your definitions are put in the \
context ",
  StyleBox["Global`", "Program"],
  ". This is also the current context ",
  StyleBox["`", "Input"],
  " (denoted grave accent, compare with ",
  StyleBox[".", "Input"],
  " for current directory in O/S command window). You can ask about the \
current context with ",
  StyleBox["Context[]", "Program"],
  ". In your notebook ",
  StyleBox["myFirst.nb", "Program"],
  " try to enter ",
  StyleBox["?Global`*", "Program"],
  " or just ",
  StyleBox["?`*", "Program"],
  " then you will get a list of all symbols you have defined."
}], "Text"],

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Cell["\<\
As you've seen `* is referring to all your (current) symbols. In order to \
clear all your symbols you can use\
\>", "Text"],

Cell["\tClear[\"`*\"]", "Program"],

Cell["\<\
The context of many built-in symbols is System`. Try to enter Context[Sin].\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Context[Sin]\)], "Input",
  CellLabel->"In[4]:="],

Cell[BoxData[
    \("System`"\)], "Output",
  CellLabel->"Out[4]="]
}, Open  ]],

Cell[TextData[{
  "The idea with the context concept is to limit the access to certain \
expressions. Mathematica might have a ",
  StyleBox["System`x", "Program"],
  " that does not interfere with your ",
  StyleBox["Global`x", "Program"],
  ". When searching for symbols Mathematica looks in the ",
  StyleBox["current context first",
    FontWeight->"Bold"],
  ", then it looks in context path order. When the context is unspecified \
(e.g. just ",
  StyleBox["Sin", "Program"],
  ") the symbol that appears first in the context path will be the one used. \
The system variable ",
  StyleBox["$ContextPath", "Program"],
  " stores the context path (from left to right)."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \($ContextPath\)], "Input",
  CellLabel->"In[5]:="],

Cell[BoxData[
    \({"Global`", "System`"}\)], "Output",
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}, Open  ]],

Cell["\<\
Built-in symbols are protected so you can't change them (without special \
steps) .\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
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  CellLabel->"In[6]:="],

Cell[BoxData[
    RowBox[{\(Set::"wrsym"\), \(\(:\)\(\ \)\), "\<\"Symbol \\!\\(\[Pi]\\) is \
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ButtonStyle->\\\"RefGuideLinkText\\\", ButtonFrame->None, \
ButtonData:>\\\"General::wrsym\\\"]\\)\"\>"}]], "Message",
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Cell[BoxData[
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Cell[TextData[{
  "Notice that ",
  StyleBox["System`Pi", "Program"],
  " is the first ",
  StyleBox["Pi", "Program"],
  "-symbol found (because we have not defined ",
  StyleBox["Global`Pi", "Program"],
  "). This first found symbol is the one we are trying to assign a new value. \
However, if we really want we can create our own ",
  StyleBox["Global`Pi", "Program"],
  "."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Global`Pi = 2\)], "Input",
  CellLabel->"In[7]:="],

Cell[BoxData[
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  CellLabel->"Out[7]="]
}, Open  ]],

Cell[TextData[{
  "We can also write ",
  StyleBox["`Pi=2", "Program"],
  " here because ",
  StyleBox["Global`", "Program"],
  " is the current context. Now our \[OpenCurlyDoubleQuote]new\
\[CloseCurlyDoubleQuote] ",
  StyleBox["Pi", "Program"],
  " is the first one in the context path. It will ",
  StyleBox["hide",
    FontWeight->"Bold",
    FontColor->RGBColor[1, 0, 0]],
  " ",
  StyleBox["System`Pi", "Program"],
  "."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(area = Pi\ r^2\)], "Input",
  CellLabel->"In[8]:="],

Cell[BoxData[
    \(2\ r\^2\)], "Output",
  CellLabel->"Out[8]="]
}, Open  ]],

Cell[TextData[{
  "You use ",
  StyleBox["Remove[", "Program"],
  StyleBox["symbol",
    FontSlant->"Italic"],
  StyleBox["]", "Program"],
  " to remove a symbol from the symbol look-up table. Notice the difference \
to ",
  StyleBox["Clear[", "Program"],
  StyleBox["symbol",
    FontSlant->"Italic"],
  StyleBox["]", "Program"],
  " that only clears the value."
}], "Text"],

Cell[BoxData[
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  CellLabel->"In[9]:="],

Cell[TextData[{
  "Now the ",
  StyleBox["System`Pi", "Program"],
  " is used again."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(area = Pi\ r^2\)], "Input",
  CellLabel->"In[10]:="],

Cell[BoxData[
    \(\[Pi]\ r\^2\)], "Output",
  CellLabel->"Out[10]="]
}, Open  ]],

Cell[TextData[{
  "When you load packages in order to extend Mathematica then you add new \
symbols in new contexts. This means that the context path increases. Let's \
say you want to know the day of week 2010-11-12. In the documentation (",
  StyleBox["H",
    FontVariations->{"Underline"->True}],
  "elp) there is a method ",
  StyleBox["DayOfWeek", "Program"],
  " for this. ",
  StyleBox["Before",
    FontWeight->"Bold"],
  " we use the method we have to load the calendar package. "
}], "Text"],

Cell[BoxData[
    \(<< Miscellaneous`Calendar`\)], "Input",
  CellLabel->"In[11]:="],

Cell["Now, let's have a look at the context path:", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \($ContextPath\)], "Input",
  CellLabel->"In[12]:="],

Cell[BoxData[
    \({"Miscellaneous`Calendar`", "Global`", "System`"}\)], "Output",
  CellLabel->"Out[12]="]
}, Open  ]],

Cell["and here's a list with all new symbols:", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(?Miscellaneous`Calendar`*\)\)], "Input",
  CellLabel->"In[13]:="],

Cell[BoxData[GridBox[{
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          StyleBox["Miscellaneous`Calendar`",
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                    "Miscellaneous`Calendar`DaysPlus"},
                  ButtonFrame->"None",
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                  ButtonFunction:>(
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                    "Miscellaneous`Calendar`Islamic"},
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                    "Miscellaneous`Calendar`Sunday"},
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Cell[CellGroupData[{

Cell[BoxData[
    \(\(?DayOfWeek\)\)], "Input",
  CellLabel->"In[14]:="],

Cell[BoxData[
    RowBox[{"\<\"DayOfWeek[{y, m, d}] gives the day of the week for year y, \
month m, and day d. The default  calendar is the usual American calendar, but \
can be changed with the Calendar option. The date can also be given in {y, m, \
d, h, m, s} form.\"\>", " ", 
      ButtonBox[
        StyleBox["More\[Ellipsis]",
          "SR"],
        ButtonData:>"Miscellaneous`Calendar`",
        Active->True,
        ButtonStyle->"AddOnsLink"]}]], "Print",
  CellTags->"Info3356946499-5633554"]
}, Open  ]],

Cell["\<\
The default calendar is the Gregorian calendar. Our question is now answered \
by\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(DayOfWeek[{2010, 11, 12}]\)], "Input",
  CellLabel->"In[15]:="],

Cell[BoxData[
    \(Friday\)], "Output",
  CellLabel->"Out[15]="]
}, Open  ]],

Cell[TextData[{
  "Notice that if you had been using ",
  StyleBox["DayOfWeek", "Program"],
  " before the package was loaded a ",
  StyleBox["Global`DayOfWeek", "Program"],
  " hides ",
  StyleBox["Miscellaneous`Calendar`DayOfWeek", "Program"],
  ". Even though the package version seems to be first in the ",
  StyleBox["$ContextPath", "Program"],
  " the current context ",
  StyleBox["`", "Program"],
  " equals ",
  StyleBox["Global`", "Program"],
  ".The solution is to enter ",
  StyleBox["Remove[Global`DayOfWeek]", "Program"],
  "."
}], "Text"],

Cell[TextData[{
  "Concepts or properties that you should know:",
  "\n\n",
  Cell[BoxData[
      StyleBox[GridBox[{
            {
              "\[FilledSmallCircle]", \(What\ is\ meant\ by\ the\ context\ of\
\ a\ \(\(symbol\)\(?\)\)\)},
            {
              "\[FilledSmallCircle]", \(How\ do\ clear\ all\ your\ own\ \
\(\(symbols\)\(?\)\)\)},
            {
              "\[FilledSmallCircle]", \(What\ is\ context\ path\ and\ what\ \
happens\ when\ you\ load\ \(\(package\)\(?\)\)\)},
            {
              "\[FilledSmallCircle]", \(What\ is\ meant\ by\ a\ hidden\ \
\(\(symbol\)\(?\)\)\)},
            {"\[FilledSmallCircle]", 
              RowBox[{
              "What", " ", "is", " ", "the", " ", "difference", " ", 
                "between", " ", 
                StyleBox["Clear",
                  "Program"], " ", "and", " ", 
                RowBox[{
                  StyleBox["Remove",
                    "Program"], "?"}]}]}
            }],
        FontFamily->"Times New Roman"]]],
  "\n"
}], "FramedBox"]
}, Closed]],

Cell[CellGroupData[{

Cell["6 Input Formats", "Section"],

Cell[TextData[{
  "Depending on what kind of user you are you want different syntax when you \
create mathematical programs. There are three different format types which \
can be used in input cells: ",
  StyleBox["InputForm", "Output"],
  ", ",
  StyleBox["StandardForm", "Output"],
  " and ",
  StyleBox["TraditionalForm", "Output"],
  ". Consider the following three calculations of a limit (the derivative of \
",
  Cell[BoxData[
      \(TraditionalForm\`\(sin\^3\)(x)\)]],
  ")."
}], "Text"],

Cell[CellGroupData[{

Cell["Limit[(Sin[x + h]^3 - Sin[x]^3)/h, h -> 0]", "Input",
  CellLabel->"In[1]:=",
  CommonDefaultFormatTypes->{"Input"->InputForm,
  "Output"->OutputForm}],

Cell[OutputFormData["\<\
3*Cos[x]*Sin[x]^2\
\>", "\<\
               2
3 Cos[x] Sin[x]\
\>"], "Output",
  CellLabel->"Out[1]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(Limit[\(Sin[x + h]\^3 - Sin[x]\^3\)\/h, h \[Rule] 0]\)], "Input",
  CellLabel->"In[2]:="],

Cell[BoxData[
    \(3\ Cos[x]\ Sin[x]\^2\)], "Output",
  CellLabel->"Out[2]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(TraditionalForm\`lim\+\(h \[Rule] 0\)\[ThinSpace]\(\(sin\^3\)(x + h) - \
\(sin\^3\)(x)\)\/h\)], "Input",
  CellLabel->"In[3]:=",
  CommonDefaultFormatTypes->{"Input"->TraditionalForm,
  "Output"->TraditionalForm}],

Cell[BoxData[
    \(TraditionalForm\`3\ \(cos(x)\)\ \(\(sin\^2\)(x)\)\)], "Output",
  CellLabel->"Out[3]="]
}, Open  ]],

Cell[TextData[{
  "The first calculation is in ",
  StyleBox["InputForm", "Program"],
  " which is a text programming style input. The output is given in ",
  StyleBox["OutputForm", "Program"],
  " which is also text (in several lines). This was the style that version \
Mathematica 1.0 used in 1988. An ",
  StyleBox["InputForm", "Output"],
  " formula has the advantage that it is unambiguous text which can be sent \
as an email or sms. The second input and output is in ",
  StyleBox["StandardForm", "Output"],
  " which is default. In this form formulas can be input  and output in a \
semi-mathematical manner. The advantage of this form is the mathematical \
outlook and that it still is unambiguous. The third form ",
  StyleBox["TraditionalForm", "Program"],
  " is very close to pure mathematics, but it might be difficult to input and \
some ambiguities might occur. Notice that ",
  StyleBox["StandardForm", "Program"],
  " accepts input in ",
  StyleBox["InputForm", "Program"],
  " since that's a subset.\n\nIt is very easy to change between these format \
types. Just select the cell bracket and press \n",
  StyleBox["\[ShiftKey]\[KeyBar]\[ControlKey]\[LeftModified]I\[RightModified]\
", "Input"],
  " for ",
  StyleBox["InputForm", "Input"],
  "\n",
  StyleBox["\[ShiftKey]\[KeyBar]\[ControlKey]\[LeftModified]N\[RightModified]\
", "Input"],
  " for ",
  StyleBox["StandardForm", "Input"],
  " (Normal)\n",
  StyleBox["\[ShiftKey]\[KeyBar]\[ControlKey]\[LeftModified]T\[RightModified]\
", "Input"],
  " for ",
  StyleBox["TraditionalForm", "Input"],
  "\n\nTry changing the format type of the cell below:"
}], "Text"],

Cell["Limit[(Sin[x + h]^3 - Sin[x]^3)/h, h -> 0]", "Input"],

Cell[TextData[{
  "By using the  ",
  StyleBox["C",
    FontVariations->{"Underline"->True}],
  "ell menu you can change the default InputFormatType or OutputFormatType \
(don't do this now). "
}], "Text"],

Cell[TextData[{
  "In mathematics there are many different expressions, e.g. \[Pi] and ",
  Cell[BoxData[
      \(TraditionalForm\`\@3\)]],
  ", which cannot be input in ASCII from the keyboard directly. In \
Mathematica you can code such expressions in programming style, e.g. ",
  StyleBox["Pi", "Program"],
  " or ",
  StyleBox["Sqrt[3]", "Program"],
  ", but it is also possible to use ",
  ButtonBox["palettes",
    ButtonData:>{"Using Palettes", "i:25"},
    ButtonStyle->"GettingStartedLink"],
  " (buttons on the screen) or ",
  ButtonBox["escape sequences or control codes",
    ButtonData:>{"Entering Mathematical Notation", "i:31"},
    ButtonStyle->"GettingStartedLink"],
  " in order to get a 2D mathematical syntax.\nLook at the following two \
examples for entering ",
  Cell[BoxData[
      \(TraditionalForm\`\[Pi]\)]],
  " and ",
  Cell[BoxData[
      \(TraditionalForm\`\@3\)]],
  ".\n1. Palette ",
  ButtonBox["BasicInput",
    ButtonData:>{"BasicInput.nb", None},
    Active->True,
    ButtonStyle->"Hyperlink",
    ButtonNote->None],
  "\n\tentering \[Pi]:\t press ",
  Cell[BoxData[
      \(TraditionalForm\`\(\(\ \)\(\[Pi]\)\)\)]],
  " button \n\tentering ",
  Cell[BoxData[
      \(TraditionalForm\`\@3\)]],
  ":\t press ",
  Cell[BoxData[
      \(TraditionalForm\`\@\[FilledSquare]\)]],
  " and 3  (the \[FilledSquare] will be replaced by 3)\nIn some expressions \
there are both \[FilledSquare] and \[EmptySquare]. The filled square is \
selected and will be replaced when you enter a key. Use \[TabKey] to move the \
selection to the next \[EmptySquare], e.g ",
  Cell[BoxData[
      \(TraditionalForm\`25\^3\)]],
  " is input by \tpressing the keys ",
  Cell[BoxData[
      \(TraditionalForm\`\(\[FilledSquare]\^\[EmptySquare]\) 
        25  \[TabKey]3\)]],
  ". In the menu ",
  StyleBox["F",
    FontVariations->{"Underline"->True}],
  "ile - Pal",
  StyleBox["e",
    FontVariations->{"Underline"->True}],
  "ttes there are several palettes for 2D input.\n2. Escape codes\n\tentering \
\[Pi]:\tpress \[AliasIndicator]",
  StyleBox["pi\[AliasIndicator] ", "Input"],
  "or  \[AliasIndicator]",
  StyleBox["p\[AliasIndicator]  ", "Input"],
  "where \[AliasIndicator] means the \[EscapeKey] key",
  StyleBox["\n", "Input"],
  "\tentering ",
  Cell[BoxData[
      \(TraditionalForm\`\@3\)]],
  ":\tpress ",
  StyleBox["\[ControlKey]\[LeftModified]2\[RightModified]3\n", "Input"],
  "The example ",
  Cell[BoxData[
      \(TraditionalForm\`25\^3\)]],
  " mentioned above is entered with ",
  StyleBox["25\[ControlKey]\[LeftModified]^\[RightModified]3", "Program"],
  " and ",
  Cell[BoxData[
      \(TraditionalForm\`25\/3\)]],
  " input with ",
  StyleBox["25\[ControlKey]\[LeftModified]/\[RightModified]3", "Program"],
  ". Sometimes you get a control code or escape sequence hint in the status \
bar of the palette,  e.g. move the mouse pointer over \[Pi] in the palette ",
  ButtonBox["BasicInput",
    ButtonData:>{"BasicInput.nb", None},
    Active->True,
    ButtonStyle->"Hyperlink",
    ButtonNote->None],
  " and look at the status bar."
}], "Text"],

Cell[TextData[{
  StyleBox["Read more",
    FontWeight->"Bold"],
  ": ",
  ButtonBox["palettes",
    ButtonData:>{"Using Palettes", "i:25"},
    ButtonStyle->"GettingStartedLink"],
  ", ",
  ButtonBox["escape sequences or control codes",
    ButtonData:>{"Entering Mathematical Notation", "i:31"},
    ButtonStyle->"GettingStartedLink"],
  " and ",
  ButtonBox["2D Input",
    ButtonData:>{"1.10.2", "2.1"},
    ButtonStyle->"MainBookLink"],
  "."
}], "Text"],

Cell[TextData[{
  "The palette BasicInput was mentioned above. Another very useful palette is \
",
  ButtonBox["AlgebraicManipulation",
    ButtonData:>{"AlgebraicManipulation.nb", None},
    Active->True,
    ButtonStyle->"Hyperlink",
    ButtonNote->None],
  ".  One example will show how to use it."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Expand[\((a + b)\)\^5]\)], "Input",
  CellLabel->"In[4]:="],

Cell[BoxData[
    \(a\^5 + 5\ a\^4\ b + 10\ a\^3\ b\^2 + 10\ a\^2\ b\^3 + 5\ a\ b\^4 + 
      b\^5\)], "Output",
  CellLabel->"Out[4]="]
}, Open  ]],

Cell[TextData[{
  "Assume that we want to factor the last three terms in the output above. \
Then mark the last three terms above with the mouse (not the initiating ",
  StyleBox["+", "Input"],
  "-sign) and press ",
  StyleBox["Factor[\[FilledSmallSquare]]", "Program"],
  ". You should then get a new cell with a content where the last three terms \
are factored. Try!\n\t",
  Cell[BoxData[
      RowBox[{\(a\^5\), "+", \(5\ a\^4\ b\), "+", \(10\ a\^3\ b\^2\), "+", 
        StyleBox[
          FrameBox[\(10\ a\^2\ b\^3 + 5\ a\ b\^4 + b\^5\),
            BoxMargins->{{0.2, 0.2}, {0.4, 0.4}}],
          FontColor->GrayLevel[1],
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  "\n\t",
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        StyleBox[
          FrameBox[\(Factor[\[FilledSmallSquare]]\),
            BoxMargins->{{0.2, 0.2}, {0.4, 0.4}}],
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  "\n\t\n\[DoubleLongRightArrow]\t",
  Cell[BoxData[
      \(a\^5 + 5\ a\^4\ b + 10\ a\^3\ b\^2 + 
        b\^3\ \((10\ a\^2 + 5\ a\ b + b\^2)\)\)]],
  "\n\nAs a last example in this section, suppose you do the calculation "
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\[Integral]\(Sin[x]\^2\) \[DifferentialD]x\)], "Input",
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Cell[BoxData[
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Cell[TextData[{
  "and you want the result in a text cell like this:\n\nResult: ",
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  "\n\nThis can be done the following way:\n1.\tWrite the text ",
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  StyleBox[" ", "Input"],
  " in a new cell.\n2.\tSelect the cell bracket and change the cell style to \
Text (Fo",
  StyleBox["r",
    FontVariations->{"Underline"->True}],
  "mat - ",
  StyleBox["S",
    FontVariations->{"Underline"->True}],
  "tyle - Text or just press ",
  StyleBox["\[AltKey]\[LeftModified]7\[RightModified]", "Program"],
  ").\n3.\tPosition the text cursor after Result:\[SpaceIndicator] then press \
",
  StyleBox["\[ControlKey]\[LeftModified]9\[RightModified]y=", "Program"],
  " this will create a formula box \[FilledSmallSquare] and put ",
  Cell[BoxData[
      \(TraditionalForm\`\(\(y\)\(=\)\)\)]],
  " in it. \n4.\tSelect the output cell bracket and press ",
  StyleBox["\[ShiftKey]\[KeyBar]\[ControlKey]\[LeftModified]T\[RightModified]\
", "Program"],
  " for ",
  StyleBox["TraditionalForm", "Program"],
  ".\n5.\tCopy the formula (mark it and press ",
  StyleBox["\[ControlKey]\[LeftModified]c\[RightModified]", "Program"],
  " in Windows) .\n6.\tPosition the text cursor directly after ",
  Cell[BoxData[
      \(TraditionalForm\`\(\(y\)\(=\)\)\)]],
  " ",
  StyleBox["inside",
    FontWeight->"Bold"],
  " the formula box.  Notice that the background of the formula box changes \
when you're inside!\n7.\tPaste the formula (press ",
  StyleBox["\[ControlKey]\[LeftModified]v\[RightModified]", "Input"],
  " in Windows).\n\nThe formula box gives you a mathematical syntax, i.e. ",
  Cell[BoxData[
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  " instead of y=2x.\n\nWeather you use formula boxes, ",
  StyleBox["InputForm", "Program"],
  ", ",
  StyleBox["StandardForm", "Program"],
  ", ",
  StyleBox["TraditionalForm", "Program"],
  ", Palettes or escape sequences and control codes depends on what kind of \
user you are."
}], "Text"],

Cell[TextData[{
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    FontWeight->"Bold"],
  "\n\n",
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              an\ escape\ sequence\ and\ a\ control\ \(\(code\)\(?\)\)\)},
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Cell[CellGroupData[{

Cell["7 Expressions", "Section"],

Cell["Get a clean kernel.", "Text"],

Cell[BoxData[
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Cell[TextData[{
  "Almost everything in Mathematica is represented by an ",
  ButtonBox["expressions",
    ButtonData:>{"A.1.1", "1.2"},
    ButtonStyle->"MainBookLink"],
  " of the form"
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  CellTags->"Tag_1"],

Cell[TextData[{
  "\t",
  Cell[BoxData[
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        RowBox[{
          FormBox["h",
            "TraditionalForm"], "[", \(e\_1, e\_2, e\_3,  ... \), "]"}], 
        TraditionalForm]]]
}], "Program",
  ShowCellBracket->False],

Cell[TextData[{
  "where ",
  Cell[BoxData[
      \(TraditionalForm\`h\)]],
  " is called the ",
  StyleBox["head",
    FontSlant->"Italic"],
  " of the expression and ",
  Cell[BoxData[
      \(TraditionalForm\`e\_i, \ i = 1, 2,  .. \)]],
  " are the elements. Examples"
}], "Text",
  CellTags->"Tag_1"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Plus[a, b, c]\)], "Input",
  CellLabel->"In[1]:="],

Cell[BoxData[
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  CellLabel->"Out[1]="]
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Cell[TextData[{
  "Instead of entering ",
  StyleBox["Plus[a,b,c]", "Output"],
  " you can (of course) use the common input form ",
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  ". Many different expressions has alternative ",
  StyleBox["input forms",
    FontWeight->"Bold"],
  ", e.g. ",
  StyleBox["a*b", "Output"],
  " instead of ",
  StyleBox["Times[a,b]", "Output"],
  ". "
}], "Text",
  CellTags->"Tag_1"],

Cell[CellGroupData[{

Cell[BoxData[
    \(List[a, b, c]\)], "Input",
  CellLabel->"In[2]:="],

Cell[BoxData[
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  CellLabel->"Out[2]="]
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Cell[TextData[{
  "As the next step read the following link: ",
  ButtonBox["Everything is an Expression",
    ButtonData:>{"2.1.1", "1.2"},
    ButtonStyle->"MainBookLink"],
  "."
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Cell[TextData[{
  "The individual parts of an expression are addressed with ",
  StyleBox["double square brackets",
    FontSlant->"Italic"],
  ":"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(expr = h[e1, e2, e3[a, b]]\)], "Input",
  CellLabel->"In[3]:="],

Cell[BoxData[
    \(h[e1, e2, e3[a, b]]\)], "Output",
  CellLabel->"Out[3]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(expr[\([0]\)]\)], "Input",
  CellLabel->"In[4]:="],

Cell[BoxData[
    \(h\)], "Output",
  CellLabel->"Out[4]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(expr[\([2]\)]\)], "Input",
  CellLabel->"In[5]:="],

Cell[BoxData[
    \(e2\)], "Output",
  CellLabel->"Out[5]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(expr[\([3]\)]\)], "Input",
  CellLabel->"In[6]:="],

Cell[BoxData[
    \(e3[a, b]\)], "Output",
  CellLabel->"Out[6]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(expr\[LeftDoubleBracket]3, 1\[RightDoubleBracket]\)], "Input",
  CellLabel->"In[7]:="],

Cell[BoxData[
    \(a\)], "Output",
  CellLabel->"Out[7]="]
}, Open  ]],

Cell[TextData[{
  "In the last input we did use an escape sequence to generate the compact \
double square brackets, e.g. ",
  StyleBox["\[AliasIndicator][[\[AliasIndicator]", "Program"],
  " generates ",
  StyleBox["\[LeftDoubleBracket]", "Input"],
  ".  A reminder ",
  Cell[BoxData[
      \(TraditionalForm\`\[AliasIndicator]\  = \ \[EscapeKey]\)]],
  ".\nNotice that you programmed Mathematica above. You did create a",
  " ",
  StyleBox["rewrite rule",
    FontWeight->"Bold"],
  " ",
  "for ",
  StyleBox["expr", "Program"],
  ". So every time Mathematica meets ",
  StyleBox["expr", "Program"],
  " it exchanges ",
  StyleBox["expr", "Program"],
  " with the right hand side ",
  StyleBox["h[e1,e2,e3[a,b]]", "Program"],
  ".\nHere's some other examples"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
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  CellLabel->"In[8]:="],

Cell[BoxData[
    \(3\)], "Output",
  CellLabel->"Out[8]="]
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Cell[CellGroupData[{

Cell[BoxData[
    \(f[1] = 2 + c\)], "Input",
  CellLabel->"In[9]:="],

Cell[BoxData[
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  CellLabel->"Out[9]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(f[2] = f[1] + c\)], "Input",
  CellLabel->"In[10]:="],

Cell[BoxData[
    \(8\)], "Output",
  CellLabel->"Out[10]="]
}, Open  ]],

Cell[TextData[{
  "This assignment made here is (of course) also an expression, this time \
with head ",
  ButtonBox["Set",
    ButtonData:>{"Set"},
    ButtonStyle->"RefGuideLink"],
  ", i.e. we can also write  ",
  StyleBox["Set[c,1+2]", "Program"],
  ". ",
  StyleBox["Set[lhs,rhs]", "Program"],
  " or ",
  StyleBox["lhs", "TI"],
  " ",
  StyleBox["=", "MR"],
  " ",
  StyleBox["rhs", "TI"],
  "  ",
  StyleBox["evaluates ",
    FontWeight->"Bold",
    FontColor->RGBColor[1, 0, 0]],
  StyleBox["rhs", "TI",
    FontWeight->"Bold",
    FontColor->RGBColor[1, 0, 0]],
  " (and ",
  StyleBox["lhs",
    FontSlant->"Italic"],
  ") and assigns the result to ",
  StyleBox["lhs", "TI"],
  ". Notice that ",
  Cell[BoxData[
      \(TraditionalForm\`1 + 2\)]],
  " above was evaluated to ",
  Cell[BoxData[
      \(TraditionalForm\`3\)]],
  ". From now on, ",
  StyleBox["lhs", "TI"],
  " is replaced by the evaluated ",
  StyleBox["rhs",
    FontSlant->"Italic"],
  " whenever it appears, e.g."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(f[2] + c\)], "Input",
  CellLabel->"In[11]:="],

Cell[BoxData[
    \(11\)], "Output",
  CellLabel->"Out[11]="]
}, Open  ]],

Cell[TextData[{
  "Sometimes you don't want an evaluation at the moment of assignment. Assume \
we want to define a random number ",
  Cell[BoxData[
      \(TraditionalForm\`1 < r < 2\)]],
  ". Let's try with"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
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  CellLabel->"In[12]:="],

Cell[BoxData[
    \(1.7554025712425032`\)], "Output",
  CellLabel->"Out[12]="]
}, Open  ]],

Cell[TextData[{
  "The assignment is fine if ",
  StyleBox["r", "Program"],
  " is a constant. With ",
  ButtonBox["Table",
    ButtonData:>{"Table"},
    ButtonStyle->"RefGuideLink"],
  " a list of ",
  StyleBox["r", "Program"],
  "-calls is generated."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Table[r, {10}]\)], "Input",
  CellLabel->"In[13]:="],

Cell[BoxData[
    \({1.7554025712425032`, 1.7554025712425032`, 1.7554025712425032`, 
      1.7554025712425032`, 1.7554025712425032`, 1.7554025712425032`, 
      1.7554025712425032`, 1.7554025712425032`, 1.7554025712425032`, 
      1.7554025712425032`}\)], "Output",
  CellLabel->"Out[13]="]
}, Open  ]],

Cell[TextData[{
  "As you can see all values are the same. This depends on the evaluation \
made at the assignment of ",
  StyleBox["r", "Program"],
  ". You get around this problem by using ",
  ButtonBox["SetDelayed",
    ButtonData:>{"SetDelayed"},
    ButtonStyle->"RefGuideLink"],
  " (",
  StyleBox[":=", "Program"],
  ") instead of ",
  ButtonBox["Set",
    ButtonData:>{"Set"},
    ButtonStyle->"RefGuideLink"],
  " (",
  StyleBox["=", "Program"],
  "). ",
  StyleBox["SetDelayed", "Input"],
  " makes an assignment ",
  StyleBox["without evaluation",
    FontWeight->"Bold",
    FontColor->RGBColor[1, 0, 0]],
  " of the right hand side."
}], "Text"],

Cell[BoxData[
    \(Clear[r]\)], "Input",
  CellLabel->"In[14]:="],

Cell[BoxData[
    \(r := Random[] + 1\)], "Input",
  CellLabel->"In[15]:="],

Cell[TextData[{
  "Notice that there was no output, because no evaluation of the right hand \
side took place. The assignment is ",
  StyleBox["delayed",
    FontSlant->"Italic"],
  " until the symbol ",
  StyleBox["r", "Program"],
  " is called. So from now on every time ",
  StyleBox["r", "Program"],
  " is called ",
  StyleBox["Random[]+1", "Program"],
  " is evaluated."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Table[r, {10}]\)], "Input",
  CellLabel->"In[16]:="],

Cell[BoxData[
    \({1.9000575606385324`, 1.2148750387619045`, 1.0834250800343872`, 
      1.0732725864374213`, 1.2032765292023364`, 1.036601570919389`, 
      1.0235716583448202`, 1.2737619446223225`, 1.8398119625042961`, 
      1.3561547981327002`}\)], "Output",
  CellLabel->"Out[16]="]
}, Open  ]],

Cell["Now, different random numbers was generated.", "Text"],

Cell[BoxData[
    \(Clear[expr, c, f, r]\)], "Input",
  CellLabel->"In[17]:="],

Cell[CellGroupData[{

Cell["If you want to know more", "Subsubsection"],

Cell[TextData[{
  "Sometimes you want to extract parts of complicated expression. A simple \
example will show that the parts not always is what you expect at a glance. \
In the expression ",
  Cell[BoxData[
      \(TraditionalForm\`a + b\/\@c\)]],
  " it seems natural that ",
  Cell[BoxData[
      \(TraditionalForm\`\@c\)]],
  " ",
  StyleBox["= Power[c,", "Output"],
  StyleBox[Cell[BoxData[
      \(TraditionalForm\`1\/2\)], "Output"], "Output"],
  StyleBox["]", "Output"],
  "  is a part, but it is not because of the representation."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(d = a + b\/\@c\)], "Input",
  CellLabel->"In[18]:="],

Cell[BoxData[
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  CellLabel->"Out[18]="]
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Cell[CellGroupData[{

Cell[BoxData[
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  CellLabel->"In[19]:="],

Cell[BoxData[
    TagBox[
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        ShowSpecialCharacters->False,
        ShowStringCharacters->True,
        NumberMarks->True],
      FullForm]], "Output",
  CellLabel->"Out[19]//FullForm="]
}, Open  ]],

Cell[TextData[{
  "Now, look what we get when we move deeper into the expression. We have a \
sum ",
  StyleBox["Plus[d\[LeftDoubleBracket]1\[RightDoubleBracket],d\
\[LeftDoubleBracket]2\[RightDoubleBracket]]", "Program"],
  ", here's the second term:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(d\[LeftDoubleBracket]2\[RightDoubleBracket]\)], "Input",
  CellLabel->"In[20]:="],

Cell[BoxData[
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  CellLabel->"Out[20]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(FullForm[d\[LeftDoubleBracket]2\[RightDoubleBracket]]\)], "Input",
  CellLabel->"In[21]:="],

Cell[BoxData[
    TagBox[
      StyleBox[\(Times[b, Power[c, Rational[\(-1\), 2]]]\),
        ShowSpecialCharacters->False,
        ShowStringCharacters->True,
        NumberMarks->True],
      FullForm]], "Output",
  CellLabel->"Out[21]//FullForm="]
}, Open  ]],

Cell[TextData[{
  "Now, the 2nd part of ",
  StyleBox["d\[LeftDoubleBracket]2\[RightDoubleBracket]", "Output"],
  " is"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(d\[LeftDoubleBracket]2, 2\[RightDoubleBracket]\)], "Input",
  CellLabel->"In[22]:="],

Cell[BoxData[
    \(1\/\@c\)], "Output",
  CellLabel->"Out[22]="]
}, Open  ]],

Cell[TextData[{
  "and the two parts of ",
  StyleBox["d\[LeftDoubleBracket]2,2\[RightDoubleBracket]", "Program"],
  "  are"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(d\[LeftDoubleBracket]2, 2, 1\[RightDoubleBracket]\)], "Input",
  CellLabel->"In[23]:="],

Cell[BoxData[
    \(c\)], "Output",
  CellLabel->"Out[23]="]
}, Open  ]],

Cell["and", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(d\[LeftDoubleBracket]2, 2, 2\[RightDoubleBracket]\)], "Input",
  CellLabel->"In[24]:="],

Cell[BoxData[
    \(\(-\(1\/2\)\)\)], "Output",
  CellLabel->"Out[24]="]
}, Open  ]],

Cell[TextData[{
  "which are the two parts of   ",
  StyleBox["Power[c,Rational[-1,2]]=Power[c,-", "Program"],
  StyleBox[Cell[BoxData[
      \(TraditionalForm\`1\/2\)], "Program"], "Program"],
  StyleBox["] ", "Program"],
  StyleBox["=", "Output"],
  " ",
  Cell[BoxData[
      \(TraditionalForm\`c\^\(-\(1\/2\)\)\)]]
}], "Text"],

Cell[TextData[{
  "If you want to extract parts of expressions it's a good idea to check with \
",
  StyleBox["FullForm", "Program"],
  ".  Another similar output is generated by ",
  ButtonBox["TreeForm",
    ButtonData:>{"TreeForm"},
    ButtonStyle->"RefGuideLink"],
  ". \nBut how do you extract ",
  Cell[BoxData[
      \(TraditionalForm\`\@c\)]],
  " of ",
  Cell[BoxData[
      \(TraditionalForm\`d\)]],
  "? Is it possible? Yes, by using mathematical extraction rather than \
structural. ",
  Cell[BoxData[
      \(TraditionalForm\`\@c\)]],
  "is simply the denominator of ",
  StyleBox["d\[LeftDoubleBracket]2\[RightDoubleBracket]", "Program"],
  "."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Denominator[d\[LeftDoubleBracket]2\[RightDoubleBracket]]\)], "Input",
  CellLabel->"In[25]:="],

Cell[BoxData[
    \(\@c\)], "Output",
  CellLabel->"Out[25]="]
}, Open  ]],

Cell["\<\
Another much simpler way is of course to use cut and paste with the mouse.\
\>", "Text"],

Cell[TextData[{
  "In the previous section three different format types was mentioned. For \
the advanced user it is also possible to edit the front end representation of \
a cell by selecting the cell bracket and press ",
  StyleBox["\[ShiftKey]\[KeyBar]\[ControlKey]\[LeftModified]E\[RightModified]\
", "Input"],
  " (for Cell ",
  StyleBox["E",
    FontWeight->"Bold"],
  "xpression). As an example: instead of using the Fo",
  StyleBox["r",
    FontVariations->{"Underline"->True}],
  "mat menu to change background color let's edit the cell expression. In \
your notebook ",
  StyleBox["myFirst.nb", "Program"],
  " create a new text cell with the text \[OpenCurlyDoubleQuote]red \
background\[CloseCurlyDoubleQuote], select the cell bracket and press ",
  StyleBox["\[ShiftKey]\[KeyBar]\[ControlKey]\[LeftModified]E\[RightModified]\
", "Input"],
  ". Then the following code appears:\n",
  StyleBox["Cell[\"red background\", \"Text\"]", "Program"]
}], "Text"],

Cell[TextData[{
  "After ",
  StyleBox["\"Text\"", "Program"],
  " add the option\n",
  StyleBox[",Background->RGBColor[1,0,0]\n", "Program"],
  "mark the cell bracket and once again press ",
  StyleBox["\[ShiftKey]\[KeyBar]\[ControlKey]\[LeftModified]E\[RightModified]\
", "Input"],
  ". Notice the change. \nAs you can see by the code above a cell is an \
expression with head ",
  StyleBox["Cell", "Program"],
  ". There are many different options for the cell. The ",
  ButtonBox["option inspector",
    ButtonStyle->"OtherInformationLink"],
  " offers a convenient way of controlling the options instead of writing \
them in the cell code. In order to change the background (again) select the \
cell bracket and press ",
  StyleBox["\[ShiftKey]\[KeyBar]\[ControlKey]\[LeftModified]O\[RightModified]\
", "Input"],
  " and notice \[OpenCurlyDoubleQuote]Show value for selection\
\[CloseCurlyDoubleQuote]. The value \[OpenCurlyDoubleQuote]selection\
\[CloseCurlyDoubleQuote] in the combobox tells you that the changes only \
effects the selected cell(s). In the lookup text field write \
\[OpenCurlyDoubleQuote]backgr\[CloseCurlyDoubleQuote] and press the ",
  StyleBox["L",
    FontVariations->{"Underline"->True}],
  "ookup button. This will redirect you to the Background option. Now, press \
the \[Ellipsis] button, choose a color and press OK. Sometimes you have to \
press the ",
  StyleBox["A",
    FontVariations->{"Underline"->True}],
  "pply button (top right in option inspector) in order to activate the \
option changes. Press \[Times] to close the option inspector."
}], "Text"]
}, Closed]],

Cell[TextData[{
  StyleBox["Concepts or properties that you should know:",
    FontWeight->"Bold"],
  "\n\n",
  Cell[BoxData[
      StyleBox[GridBox[{
            {
              "\[FilledSmallCircle]", \(Can\ you\ interrupt/
                  abort\ a\ \(\(command\)\(?\)\)\)},
            {
              "\[FilledSmallCircle]", \(How\ can\ you\ exit\ the\ \
\(\(kernel\)\(?\)\)\)},
            {
              "\[FilledSmallCircle]", \(What\ is\ an\ expression\ and\ what\ \
is\ a\ \(\(head\)\(?\)\)\)},
            {
              "\[FilledSmallCircle]", \(How\ can\ you\ access\ parts\ of\ an\ \
\(\(expression\)\(?\)\(\ \)\)\)},
            {"\[FilledSmallCircle]", 
              RowBox[{\(What\ is\ the\ difference\ between\), " ", 
                StyleBox["=",
                  "Program"], " ", 
                RowBox[{"and", " ", 
                  StyleBox[":=",
                    "Program"], "?"}]}]}
            }],
        FontFamily->"Times New Roman"]]]
}], "FramedBox"]
}, Closed]],

Cell[CellGroupData[{

Cell["8 Patterns", "Section"],

Cell[TextData[{
  "Notice that in order to understand Mathematica this section is crucial. \
Use your own notebook ",
  StyleBox["myFirst.nb", "Program"],
  " to enter and test the programming. "
}], "Text",
  CellDingbat->"\[LightBulb]"],

Cell[CellGroupData[{

Cell["8.1 Introduction", "Subsection"],

Cell["Get a clean kernel.", "Text"],

Cell[BoxData[
    \(Quit[]\)], "Input"],

Cell[TextData[{
  "When you program Mathematica you typically write ",
  StyleBox["rewrite rules",
    FontWeight->"Bold"],
  " for expressions, i.e. you enter some expression as an argument to a \
method which rewrites your expression. Look at the following example"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Expand[\((x + 1)\)\^5]\)], "Input",
  CellLabel->"In[1]:="],

Cell[BoxData[
    \(1 + 5\ x + 10\ x\^2 + 10\ x\^3 + 5\ x\^4 + x\^5\)], "Output",
  CellLabel->"Out[1]="]
}, Open  ]],

Cell[TextData[{
  "We got an answer here that makes sense because there is a rewrite rule for \
",
  Cell[BoxData[
      \(Expand[\((x + 1)\)\^5]\)]],
  ". This rewrite rule is loaded to the kernel when you start Mathematica. \n\
If you try with"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(f[a]\)], "Input",
  CellLabel->"In[2]:="],

Cell[BoxData[
    \(f[a]\)], "Output",
  CellLabel->"Out[2]="]
}, Open  ]],

Cell[TextData[{
  "the output equals the input, simply because there is no rewrite rule for \
",
  StyleBox["f[a]", "Program"],
  " (yet).\nIn order to understand how to program ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  ", let's assume that we want to define a function (i.e. a rewrite rule) ",
  Cell[BoxData[
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",
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  StyleBox["f[x_]", "Program"],
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the input is returned unchanged."
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Here's a picture of how the pattern forwards the input to the body if there \
is a match and returns the input otherwise.

\
\>", "Text"],

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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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0 g
s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
1 0 0 r
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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0 g
s
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s
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s
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s
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s
0 g
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s
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s
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s
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s
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s
1 0 0 r
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
0 g
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s
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s
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s
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s
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.28462 .34731 m .27746 .34557 L .2794 .34937 L p F P
0 g
s
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s
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s
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1 0 0 r
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s
0 g
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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0 g
s
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s
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s
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s
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s
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s
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s
.733 .878 .89 r
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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0 g
s
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0 g
s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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0 g
s
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.29389 .35934 m .28669 .3576 L .28954 .35921 L p F P
0 g
s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
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s
.733 .878 .89 r
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0 g
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Cell[CellGroupData[{

Cell[BoxData[
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  CellLabel->"In[5]:="],

Cell[BoxData[
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  CellLabel->"Out[5]="]
}, Open  ]],

Cell[TextData[{
  "Notice that ",
  StyleBox["f[a]", "Program"],
  " certainly match ",
  StyleBox["f[x_]", "Program"],
  " or ",
  StyleBox["f[any expression]", "Program"],
  ". A command can confirm this:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
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  CellLabel->"In[6]:="],

Cell[BoxData[
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  CellLabel->"Out[6]="]
}, Open  ]],

Cell[TextData[{
  "If we try with ",
  StyleBox["f[a,b]", "Program"],
  " it doesn't match:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(MatchQ[f[a, b], f[x_]]\)], "Input",
  CellLabel->"In[7]:="],

Cell[BoxData[
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}, Open  ]],

Cell[TextData[{
  "Then if f",
  StyleBox["[a,b]", "Program"],
  " is called the input is simply returned."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(f[a, b]\)], "Input",
  CellLabel->"In[8]:="],

Cell[BoxData[
    \(f[a, b]\)], "Output",
  CellLabel->"Out[8]="]
}, Open  ]],

Cell[TextData[{
  "Here's a graph of the defined function ",
  Cell[BoxData[
      \(TraditionalForm\`f(x)\)]],
  "."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(Plot[f[x], {x, \(-2\), 5}]\)], "Input",
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Cell[GraphicsData["PostScript", "\<\
%!
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%%AspectRatio: .61803 
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Below, you will find some simple examples of method definitions:\
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Let's say we want an exact expression for the minimum of the following \
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.5 Mabswid
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.4789 .60096 .49288 .60075 .51761 .60344 .50382 .60461 Metetra
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.50382 .60461 .51761 .60344 .54269 .60341 .52913 .60527 Metetra
.52913 .60527 .54269 .60341 .56807 .60047 .55477 .60273 Metetra
.198 .725 .738 r
.55477 .60273 .56807 .60047 .59369 .59451 .58067 .59684 Metetra
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.58067 .59684 .59369 .59451 .61949 .58547 .60676 .58754 Metetra
.511 .913 .845 r
.60676 .58754 .61949 .58547 .6454 .57336 .63296 .57485 Metetra
.638 .966 .871 r
.63296 .57485 .6454 .57336 .67136 .55825 .65921 .55886 Metetra
.736 .99 .88 r
.65921 .55886 .67136 .55825 .69731 .5403 .68543 .53973 Metetra
.806 .991 .876 r
.68543 .53973 .69731 .5403 .72318 .51969 .71157 .51768 Metetra
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.71157 .51768 .72318 .51969 .74895 .4967 .73757 .49302 Metetra
.878 .958 .851 r
.73757 .49302 .74895 .4967 .77456 .47162 .76339 .46607 Metetra
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.76339 .46607 .77456 .47162 .80001 .44479 .789 .43721 Metetra
.898 .906 .822 r
.789 .43721 .80001 .44479 .82526 .41656 .81439 .40686 Metetra
.897 .879 .809 r
.81439 .40686 .82526 .41656 .85034 .38733 .83956 .37543 Metetra
.891 .853 .799 r
.83956 .37543 .85034 .38733 .87524 .35747 .86452 .34335 Metetra
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.86452 .34335 .87524 .35747 .90001 .32736 .88931 .31104 Metetra
0 .137 .626 r
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.32514 .52339 .33971 .53381 .36159 .5485 .34697 .53958 Metetra
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.34697 .53958 .36159 .5485 .384 .56232 .36937 .55487 Metetra
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.36937 .55487 .384 .56232 .40694 .57487 .39235 .56882 Metetra
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.39235 .56882 .40694 .57487 .43043 .58575 .41589 .58099 Metetra
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.41589 .58099 .43043 .58575 .45442 .59456 .43999 .59095 Metetra
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.43999 .59095 .45442 .59456 .4789 .60096 .46461 .59832 Metetra
0 .473 .703 r
.46461 .59832 .4789 .60096 .50382 .60461 .48971 .60275 Metetra
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.48971 .60275 .50382 .60461 .52913 .60527 .51522 .60395 Metetra
.192 .719 .847 r
.51522 .60395 .52913 .60527 .55477 .60273 .5411 .6017 Metetra
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.5411 .6017 .55477 .60273 .58067 .59684 .56725 .59584 Metetra
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.638 .953 .939 r
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.797 .973 .909 r
.64662 .55637 .65921 .55886 .68543 .53973 .67312 .53624 Metetra
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.67312 .53624 .68543 .53973 .71157 .51768 .69952 .51298 Metetra
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.887 .924 .841 r
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.896 .903 .823 r
.75181 .45839 .76339 .46607 .789 .43721 .77762 .42785 Metetra
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.898 .861 .796 r
.80318 .39573 .81439 .40686 .83956 .37543 .82849 .36248 Metetra
.893 .841 .787 r
.82849 .36248 .83956 .37543 .86452 .34335 .85356 .32856 Metetra
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.85356 .32856 .86452 .34335 .88931 .31104 .87843 .29443 Metetra
0 .088 .579 r
.26843 .47643 .28306 .49006 .30384 .50674 .28913 .4942 Metetra
0 .079 .552 r
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.31036 .51195 .32514 .52339 .34697 .53958 .33215 .52924 Metetra
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.33215 .52924 .34697 .53958 .36937 .55487 .35454 .5456 Metetra
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.35454 .5456 .36937 .55487 .39235 .56882 .37754 .56057 Metetra
0 .225 .62 r
.37754 .56057 .39235 .56882 .41589 .58099 .40113 .57367 Metetra
0 .313 .681 r
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0 .422 .757 r
.42531 .58447 .43999 .59095 .46461 .59832 .45005 .59254 Metetra
.003 .544 .838 r
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.167 .668 .911 r
.47529 .59752 .48971 .60275 .51522 .60395 .50099 .59911 Metetra
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.50099 .59911 .51522 .60395 .5411 .6017 .52707 .59704 Metetra
.488 .857 .987 r
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.613 .906 .984 r
.55346 .59118 .56725 .59584 .59361 .58631 .58007 .58143 Metetra
.707 .929 .964 r
.58007 .58143 .59361 .58631 .6201 .57312 .60681 .56783 Metetra
.773 .934 .936 r
.60681 .56783 .6201 .57312 .64662 .55637 .63361 .55046 Metetra
.82 .928 .905 r
.63361 .55046 .64662 .55637 .67312 .53624 .66038 .52953 Metetra
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.66038 .52953 .67312 .53624 .69952 .51298 .68704 .50531 Metetra
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.68704 .50531 .69952 .51298 .72576 .4869 .71354 .47813 Metetra
.884 .888 .829 r
.71354 .47813 .72576 .4869 .75181 .45839 .73982 .4484 Metetra
.892 .873 .811 r
.73982 .4484 .75181 .45839 .77762 .42785 .76586 .41655 Metetra
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.79162 .38305 .80318 .39573 .82849 .36248 .81711 .3484 Metetra
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.81711 .3484 .82849 .36248 .85356 .32856 .84235 .31306 Metetra
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.84235 .31306 .85356 .32856 .87843 .29443 .86736 .27753 Metetra
0 .06 .55 r
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0 .062 .542 r
.2742 .48101 .28913 .4942 .31036 .51195 .29538 .49942 Metetra
0 .082 .552 r
.29538 .49942 .31036 .51195 .33215 .52924 .31714 .51737 Metetra
0 .121 .581 r
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0 .181 .629 r
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0 .26 .693 r
.36253 .54996 .37754 .56057 .40113 .57367 .38616 .56363 Metetra
0 .359 .77 r
.38616 .56363 .40113 .57367 .42531 .58447 .41041 .57492 Metetra
0 .472 .851 r
.41041 .57492 .42531 .58447 .45005 .59254 .43525 .5834 Metetra
.131 .588 .923 r
.43525 .5834 .45005 .59254 .47529 .59752 .46062 .5887 Metetra
.292 .693 .974 r
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.441 .774 .997 r
.48647 .59048 .50099 .59911 .52707 .59704 .51273 .58849 Metetra
.565 .829 .995 r
.51273 .58849 .52707 .59704 .55346 .59118 .53933 .58256 Metetra
.661 .86 .976 r
.53933 .58256 .55346 .59118 .58007 .58143 .56616 .57263 Metetra
.731 .874 .947 r
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.782 .878 .917 r
.59314 .55869 .60681 .56783 .63361 .55046 .62019 .54087 Metetra
.819 .875 .887 r
.62019 .54087 .63361 .55046 .66038 .52953 .64722 .51937 Metetra
.845 .869 .86 r
.64722 .51937 .66038 .52953 .68704 .50531 .67414 .49447 Metetra
.863 .861 .837 r
.67414 .49447 .68704 .50531 .71354 .47813 .7009 .46652 Metetra
.875 .853 .817 r
.7009 .46652 .71354 .47813 .73982 .4484 .72744 .43594 Metetra
.884 .844 .801 r
.72744 .43594 .73982 .4484 .76586 .41655 .75372 .40318 Metetra
.888 .836 .788 r
.75372 .40318 .76586 .41655 .79162 .38305 .77972 .36875 Metetra
.891 .828 .778 r
.77972 .36875 .79162 .38305 .81711 .3484 .80544 .33312 Metetra
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0 .05 .54 r
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0 .064 .55 r
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0 .095 .579 r
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0 .146 .626 r
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0 .216 .688 r
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0 .303 .761 r
.34735 .5369 .36253 .54996 .38616 .56363 .37102 .55073 Metetra
0 .402 .836 r
.37102 .55073 .38616 .56363 .41041 .57492 .39533 .56216 Metetra
.094 .506 .904 r
.39533 .56216 .41041 .57492 .43525 .5834 .42025 .57074 Metetra
.244 .601 .952 r
.42025 .57074 .43525 .5834 .46062 .5887 .44572 .57609 Metetra
.384 .68 .976 r
.44572 .57609 .46062 .5887 .48647 .59048 .4717 .57787 Metetra
.504 .738 .978 r
.4717 .57787 .48647 .59048 .51273 .58849 .49812 .57583 Metetra
.601 .777 .965 r
.49812 .57583 .51273 .58849 .53933 .58256 .52489 .5698 Metetra
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.733 .814 .915 r
.55192 .55969 .56616 .57263 .59314 .55869 .57912 .54553 Metetra
.775 .821 .889 r
.57912 .54553 .59314 .55869 .62019 .54087 .6064 .52743 Metetra
.807 .823 .864 r
.6064 .52743 .62019 .54087 .64722 .51937 .63367 .50559 Metetra
.831 .823 .841 r
.63367 .50559 .64722 .51937 .67414 .49447 .66085 .4803 Metetra
.849 .822 .822 r
.66085 .4803 .67414 .49447 .7009 .46652 .68787 .45193 Metetra
.862 .82 .805 r
.68787 .45193 .7009 .46652 .72744 .43594 .71467 .4209 Metetra
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.879 .814 .781 r
.74122 .38767 .75372 .40318 .77972 .36875 .76749 .35274 Metetra
.884 .812 .773 r
.76749 .35274 .77972 .36875 .80544 .33312 .79346 .31661 Metetra
.886 .809 .767 r
.79346 .31661 .80544 .33312 .83089 .29682 .81917 .27981 Metetra
.887 .807 .764 r
.81917 .27981 .83089 .29682 .85609 .26033 .84462 .24283 Metetra
0 .06 .55 r
.22311 .43424 .23846 .44853 .25906 .46715 .2437 .4526 Metetra
0 .084 .577 r
.2437 .4526 .25906 .46715 .28021 .48577 .26485 .47097 Metetra
0 .126 .621 r
.26485 .47097 .28021 .48577 .30195 .50393 .28661 .48887 Metetra
0 .185 .679 r
.28661 .48887 .30195 .50393 .32433 .52114 .30899 .50582 Metetra
0 .261 .746 r
.30899 .50582 .32433 .52114 .34735 .5369 .33204 .52133 Metetra
0 .347 .814 r
.33204 .52133 .34735 .5369 .37102 .55073 .35575 .53492 Metetra
.061 .437 .874 r
.35575 .53492 .37102 .55073 .39533 .56216 .3801 .5461 Metetra
.199 .522 .918 r
.3801 .5461 .39533 .56216 .42025 .57074 .40508 .55446 Metetra
.33 .595 .942 r
.40508 .55446 .42025 .57074 .44572 .57609 .43064 .5596 Metetra
.444 .652 .948 r
.43064 .5596 .44572 .57609 .4717 .57787 .45673 .56118 Metetra
.539 .694 .94 r
.45673 .56118 .4717 .57787 .49812 .57583 .48327 .55896 Metetra
.616 .724 .923 r
.48327 .55896 .49812 .57583 .52489 .5698 .51018 .55277 Metetra
.676 .745 .903 r
.51018 .55277 .52489 .5698 .55192 .55969 .53738 .54252 Metetra
.724 .759 .881 r
.53738 .54252 .55192 .55969 .57912 .54553 .56477 .52823 Metetra
.761 .769 .86 r
.56477 .52823 .57912 .54553 .6064 .52743 .59226 .51002 Metetra
.79 .776 .84 r
.59226 .51002 .6064 .52743 .63367 .50559 .61975 .48809 Metetra
.813 .781 .823 r
.61975 .48809 .63367 .50559 .66085 .4803 .64718 .46274 Metetra
.832 .785 .808 r
.64718 .46274 .66085 .4803 .68787 .45193 .67446 .4343 Metetra
.847 .789 .795 r
.67446 .4343 .68787 .45193 .71467 .4209 .70153 .40322 Metetra
.859 .792 .784 r
.70153 .40322 .71467 .4209 .74122 .38767 .72836 .36995 Metetra
.868 .794 .776 r
.72836 .36995 .74122 .38767 .76749 .35274 .75491 .33499 Metetra
.875 .797 .77 r
.75491 .33499 .76749 .35274 .79346 .31661 .78119 .29884 Metetra
.88 .799 .766 r
.78119 .29884 .79346 .31661 .81917 .27981 .80719 .26201 Metetra
.883 .802 .764 r
.80719 .26201 .81917 .27981 .84462 .24283 .83294 .225 Metetra
0 .088 .579 r
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0 .122 .62 r
.22814 .43736 .2437 .4526 .26485 .47097 .24932 .455 Metetra
0 .172 .674 r
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0 .236 .735 r
.27111 .47218 .28661 .48887 .30899 .50582 .29353 .48842 Metetra
0 .311 .796 r
.29353 .48842 .30899 .50582 .33204 .52133 .31661 .50324 Metetra
.037 .388 .849 r
.31661 .50324 .33204 .52133 .35575 .53492 .34036 .51616 Metetra
.165 .462 .887 r
.34036 .51616 .35575 .53492 .3801 .5461 .36476 .52674 Metetra
.285 .527 .909 r
.36476 .52674 .3801 .5461 .40508 .55446 .3898 .53455 Metetra
.393 .58 .915 r
.3898 .53455 .40508 .55446 .43064 .5596 .41543 .53921 Metetra
.484 .622 .911 r
.41543 .53921 .43064 .5596 .45673 .56118 .4416 .5404 Metetra
.559 .654 .899 r
.4416 .5404 .45673 .56118 .48327 .55896 .46824 .53787 Metetra
.62 .679 .884 r
.46824 .53787 .48327 .55896 .51018 .55277 .49526 .53146 Metetra
.67 .698 .867 r
.49526 .53146 .51018 .55277 .53738 .54252 .5226 .52109 Metetra
.711 .713 .85 r
.5226 .52109 .53738 .54252 .56477 .52823 .55014 .50678 Metetra
.744 .725 .834 r
.55014 .50678 .56477 .52823 .59226 .51002 .57781 .48865 Metetra
.772 .735 .819 r
.57781 .48865 .59226 .51002 .61975 .48809 .60551 .46687 Metetra
.795 .744 .806 r
.60551 .46687 .61975 .48809 .64718 .46274 .63316 .44175 Metetra
.814 .753 .795 r
.63316 .44175 .64718 .46274 .67446 .4343 .66069 .41362 Metetra
.83 .76 .786 r
.66069 .41362 .67446 .4343 .70153 .40322 .68804 .38289 Metetra
.844 .768 .778 r
.68804 .38289 .70153 .40322 .72836 .36995 .71515 .35002 Metetra
.855 .775 .772 r
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.865 .782 .768 r
.74202 .31549 .75491 .33499 .78119 .29884 .76862 .27979 Metetra
.872 .789 .766 r
.76862 .27979 .78119 .29884 .80719 .26201 .79495 .24342 Metetra
.878 .797 .766 r
.79495 .24342 .80719 .26201 .83294 .225 .82105 .20686 Metetra
0 .137 .626 r
.19166 .40496 .20751 .41972 .22814 .43736 .21237 .42144 Metetra
0 .178 .677 r
.21237 .42144 .22814 .43736 .24932 .455 .23363 .43789 Metetra
0 .232 .733 r
.23363 .43789 .24932 .455 .27111 .47218 .25548 .45388 Metetra
0 .295 .788 r
.25548 .45388 .27111 .47218 .29353 .48842 .27796 .46896 Metetra
.023 .361 .833 r
.27796 .46896 .29353 .48842 .31661 .50324 .3011 .48265 Metetra
.142 .424 .865 r
.3011 .48265 .31661 .50324 .34036 .51616 .32489 .49452 Metetra
.253 .48 .883 r
.32489 .49452 .34036 .51616 .36476 .52674 .34935 .50413 Metetra
.353 .526 .888 r
.34935 .50413 .36476 .52674 .3898 .53455 .37443 .51108 Metetra
.439 .565 .884 r
.37443 .51108 .3898 .53455 .41543 .53921 .40012 .515 Metetra
.511 .595 .875 r
.40012 .515 .41543 .53921 .4416 .5404 .42635 .5156 Metetra
.571 .62 .863 r
.42635 .5156 .4416 .5404 .46824 .53787 .45306 .51264 Metetra
.62 .641 .849 r
.45306 .51264 .46824 .53787 .49526 .53146 .48017 .50596 Metetra
.662 .659 .836 r
.48017 .50596 .49526 .53146 .5226 .52109 .50761 .4955 Metetra
.697 .674 .823 r
.50761 .4955 .5226 .52109 .55014 .50678 .53529 .48127 Metetra
.727 .687 .812 r
.53529 .48127 .55014 .50678 .57781 .48865 .5631 .46337 Metetra
.753 .7 .801 r
.5631 .46337 .57781 .48865 .60551 .46687 .59098 .44199 Metetra
.775 .712 .792 r
.59098 .44199 .60551 .46687 .63316 .44175 .61884 .4174 Metetra
.795 .723 .784 r
.61884 .4174 .63316 .44175 .66069 .41362 .6466 .38992 Metetra
.812 .734 .778 r
.6466 .38992 .66069 .41362 .68804 .38289 .67421 .35995 Metetra
.827 .745 .773 r
.67421 .35995 .68804 .38289 .71515 .35002 .70162 .32791 Metetra
.841 .757 .77 r
.70162 .32791 .71515 .35002 .74202 .31549 .72881 .29426 Metetra
.852 .768 .768 r
.72881 .29426 .74202 .31549 .76862 .27979 .75575 .25948 Metetra
.862 .78 .768 r
.75575 .25948 .76862 .27979 .79495 .24342 .78246 .22403 Metetra
.87 .792 .77 r
.78246 .22403 .79495 .24342 .82105 .20686 .80894 .18838 Metetra
0 .205 .69 r
.17555 .38995 .19166 .40496 .21237 .42144 .19639 .40483 Metetra
0 .249 .743 r
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0 .302 .792 r
.21777 .41966 .23363 .43789 .25548 .45388 .23973 .43403 Metetra
.02 .356 .83 r
.23973 .43403 .25548 .45388 .27796 .46896 .2623 .44751 Metetra
.132 .408 .855 r
.2623 .44751 .27796 .46896 .3011 .48265 .28552 .45967 Metetra
.235 .453 .868 r
.28552 .45967 .3011 .48265 .32489 .49452 .30938 .4701 Metetra
.327 .492 .87 r
.30938 .4701 .32489 .49452 .34935 .50413 .33389 .4784 Metetra
.406 .525 .865 r
.33389 .4784 .34935 .50413 .37443 .51108 .35903 .48418 Metetra
.474 .552 .855 r
.35903 .48418 .37443 .51108 .40012 .515 .38475 .48712 Metetra
.53 .574 .844 r
.38475 .48712 .40012 .515 .42635 .5156 .41103 .48695 Metetra
.578 .594 .833 r
.41103 .48695 .42635 .5156 .45306 .51264 .43779 .48344 Metetra
.619 .611 .821 r
.43779 .48344 .45306 .51264 .48017 .50596 .46496 .47645 Metetra
.654 .627 .811 r
.46496 .47645 .48017 .50596 .50761 .4955 .49247 .46592 Metetra
.684 .642 .801 r
.49247 .46592 .50761 .4955 .53529 .48127 .52024 .45185 Metetra
.711 .656 .793 r
.52024 .45185 .53529 .48127 .5631 .46337 .54818 .43436 Metetra
.735 .669 .786 r
.54818 .43436 .5631 .46337 .59098 .44199 .5762 .4136 Metetra
.757 .683 .78 r
.5762 .4136 .59098 .44199 .61884 .4174 .60424 .38982 Metetra
.776 .696 .775 r
.60424 .38982 .61884 .4174 .6466 .38992 .63222 .36333 Metetra
.794 .71 .772 r
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.81 .724 .77 r
.66009 .33449 .67421 .35995 .70162 .32791 .68779 .30369 Metetra
.825 .739 .769 r
.68779 .30369 .70162 .32791 .72881 .29426 .7153 .27136 Metetra
.838 .754 .77 r
.7153 .27136 .72881 .29426 .75575 .25948 .74261 .23793 Metetra
.85 .77 .772 r
.74261 .23793 .75575 .25948 .78246 .22403 .7697 .20385 Metetra
.861 .786 .776 r
.7697 .20385 .78246 .22403 .80894 .18838 .79661 .16955 Metetra
0 .291 .764 r
.15916 .3747 .17555 .38995 .19639 .40483 .1802 .38756 Metetra
0 .332 .809 r
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.033 .374 .841 r
.20175 .40035 .21777 .41966 .23973 .43403 .22386 .41268 Metetra
.137 .414 .859 r
.22386 .41268 .23973 .43403 .2623 .44751 .24657 .42416 Metetra
.232 .448 .865 r
.24657 .42416 .2623 .44751 .28552 .45967 .26989 .43442 Metetra
.316 .478 .862 r
.26989 .43442 .28552 .45967 .30938 .4701 .29384 .44306 Metetra
.388 .502 .853 r
.29384 .44306 .30938 .4701 .33389 .4784 .31842 .44972 Metetra
.449 .523 .842 r
.31842 .44972 .33389 .4784 .35903 .48418 .34361 .45407 Metetra
.501 .542 .83 r
.34361 .45407 .35903 .48418 .38475 .48712 .36937 .45581 Metetra
.545 .558 .818 r
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Cell["9 Rules", "Section"],

Cell[TextData[{
  "Use your own notebook ",
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  " to enter and test the programming. "
}], "Text"],

Cell[CellGroupData[{

Cell["9.1 Introduction", "Subsection"],

Cell["Get a clean kernel.", "Text"],

Cell[BoxData[
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It is often used for mathematical substitutions, e.g. compute the expression \
",
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press ",
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Cell["I f you want to know more", "Subsubsection"],

Cell["\<\
With patterns you can extend rules to work in a more general manner. Let's \
say you want to implement rules for \[OpenCurlyDoubleQuote]your own\
\[CloseCurlyDoubleQuote] logarithm.\
\>", "Text"],

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This behavior can also be defined by the use of pattern and assignments (then \
you don't need the rule).\
\>", "Text"],

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Cell["9.2 Solving Equations", "Subsection"],

Cell["Get a clean kernel.", "Text"],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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  CellLabel->"Out[1]="]
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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    CounterIncrements->"ItemizedSubList",
    StyleMenuListing->None,
    CounterBoxOptions->{CounterFunction:>(Part[ 
        CharacterRange[ "a", "z"], #]&)}],
  
  Cell[StyleData["ItemizedSubListNote", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["ItemizedSubListNote", "Printout"],
    CellMargins->{{34, 4}, {4, 1}},
    Hyphenation->True,
    FontSize->10],
  
  Cell[StyleData["ItemizedSubListNote", "EnhancedPrintout"],
    CellMargins->{{56, 4}, {2, 4}},
    Hyphenation->True,
    FontFamily->"Palatino",
    FontSize->10],
  
  Cell[StyleData["ItemizedSubListNote", "EnhancedPrintoutNonGray"],
    CellMargins->{{48, 4}, {2, 4}},
    Hyphenation->True,
    FontFamily->"Palatino",
    FontSize->10]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["BulletedList"],
    CellMargins->{{76, 4}, {4, 4}},
    CellFrameLabels->{{
      Cell[ "\[Bullet]", "BulletedList", CellBaseline -> Baseline], 
          Inherited}, {Inherited, Inherited}},
    LineSpacing->{1, 3},
    CounterIncrements->"BulletText",
    StyleMenuListing->None],
  
  Cell[StyleData["BulletedList", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["BulletedList", "Printout"],
    CellMargins->{{16, 4}, {4, 1}},
    Hyphenation->True,
    FontSize->10],
  
  Cell[StyleData["BulletedList", "EnhancedPrintout"],
    CellMargins->{{26, 4}, {2, 4}},
    Hyphenation->True,
    LineSpacing->{1, 1},
    FontFamily->"Palatino",
    FontSize->10],
  
  Cell[StyleData["BulletedList", "EnhancedPrintoutNonGray"],
    Hyphenation->True,
    LineSpacing->{1, 1},
    FontFamily->"Palatino",
    FontSize->10]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["ListNote"],
    CellMargins->{{88, 4}, {4, 0}},
    LineSpacing->{1, 2},
    CounterIncrements->"ListNote",
    StyleMenuListing->None],
  
  Cell[StyleData["ListNote", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["ListNote", "Printout"],
    CellMargins->{{34, 4}, {4, 1}},
    Hyphenation->True,
    FontSize->10],
  
  Cell[StyleData["ListNote", "EnhancedPrintout"],
    CellMargins->{{39, 4}, {4, 1}},
    Hyphenation->True,
    LineSpacing->{1, 1},
    FontFamily->"Palatino",
    FontSize->10],
  
  Cell[StyleData["ListNote", "EnhancedPrintoutNonGray"],
    CellMargins->{{39, 4}, {4, 1}},
    Hyphenation->True,
    LineSpacing->{1, 1},
    FontFamily->"Palatino",
    FontSize->10]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MathCaption"],
    CellFrame->{{0, 0}, {0, 0.5}},
    CellMargins->{{66, 12}, {2, 20}},
    PageBreakBelow->False,
    CellFrameMargins->{{8, 8}, {8, 2}},
    CellFrameColor->GrayLevel[0.700008],
    CellFrameLabelMargins->4,
    LineSpacing->{1, 1},
    ParagraphSpacing->{0, 8},
    FontColor->GrayLevel[0.2]],
  
  Cell[StyleData["MathCaption", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["MathCaption", "SlideShow"],
    ShowCellBracket->False,
    CellMargins->{{36, 36}, {6, 6}}],
  
  Cell[StyleData["MathCaption", "Printout"],
    CellMargins->{{9, 0}, {0, 14}},
    Hyphenation->True,
    FontSize->9,
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["MathCaption", "EnhancedPrintout"],
    CellMargins->{{9, 0}, {0, 14}},
    Hyphenation->True,
    FontFamily->"Palatino",
    FontSize->9,
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["MathCaption", "EnhancedPrintoutNonGray"],
    CellMargins->{{9, 0}, {0, 14}},
    Hyphenation->True,
    FontFamily->"Palatino",
    FontSize->9,
    FontColor->GrayLevel[0]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["SmallText"],
    CellMargins->{{27, 27}, {0, 8}},
    LineSpacing->{1, 3},
    ParagraphSpacing->{0.7, 0},
    CounterIncrements->"SmallText",
    FontSize->9],
  
  Cell[StyleData["SmallText", "Presentation"],
    FontSize->14],
  
  Cell[StyleData["SmallText", "Printout"],
    CellMargins->{{2, 2}, {5, 5}},
    TextJustification->1,
    Hyphenation->True,
    FontSize->7],
  
  Cell[StyleData["SmallText", "EnhancedPrintout"],
    CellMargins->{{2, 2}, {5, 5}},
    TextJustification->1,
    Hyphenation->True,
    FontFamily->"Palatino",
    FontSize->7],
  
  Cell[StyleData["SmallText", "EnhancedPrintoutNonGray"],
    CellMargins->{{2, 2}, {5, 5}},
    TextJustification->1,
    Hyphenation->True,
    FontFamily->"Palatino",
    FontSize->7]
  }, Closed]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell["Input/Output", "Section"],
  
  Cell["\<\
The cells in this section define styles used for input and output to the \
kernel.  Be careful when modifying, renaming, or removing these styles, \
because the front end associates special meanings with these style names.    \
\
\>", "Text"],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Input"],
    ShowCellBracket->True,
    CellMargins->{{66, 4}, {3, 8}},
    Evaluatable->True,
    CellGroupingRules->"InputGrouping",
    PageBreakWithin->False,
    GroupPageBreakWithin->False,
    CellLabelAutoDelete->False,
    CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}},
    DefaultFormatType->DefaultInputFormatType,
    ShowSpecialCharacters->Automatic,
    "TwoByteSyntaxCharacterAutoReplacement"->True,
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    AutoItalicWords->{},
    LanguageCategory->"Mathematica",
    FormatType->StandardForm,
    ShowStringCharacters->True,
    NumberMarks->True,
    FontWeight->"Bold"],
  
  Cell[StyleData["Input", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["Input", "SlideShow"],
    ShowCellBracket->True,
    CellMargins->{{100, 50}, {0, 6}},
    PageBreakWithin->False,
    GroupPageBreakWithin->False,
    CellFrameMargins->{{8, 8}, {4, 8}},
    Background->RGBColor[1, 1, 0.8]],
  
  Cell[StyleData["Input", "Printout"],
    ShowCellBracket->False,
    CellMargins->{{39, 0}, {4, 6}},
    FontSize->9],
  
  Cell[StyleData["Input", "EnhancedPrintout"],
    ShowCellBracket->False,
    CellMargins->{{39, 0}, {4, 6}},
    FontSize->9],
  
  Cell[StyleData["Input", "EnhancedPrintoutNonGray"],
    ShowCellBracket->False,
    CellMargins->{{39, 0}, {4, 6}},
    FontSize->9]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Output"],
    ShowCellBracket->True,
    CellMargins->{{66, 4}, {8, 2}},
    CellBracketOptions->{"Color"->RGBColor[0.0980392, 0.329412, 0.65098]},
    CellEditDuplicate->True,
    CellGroupingRules->"OutputGrouping",
    CellHorizontalScrolling->True,
    PageBreakWithin->False,
    GroupPageBreakWithin->False,
    GeneratedCell->True,
    CellAutoOverwrite->True,
    CellLabelAutoDelete->False,
    CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}},
    DefaultFormatType->DefaultOutputFormatType,
    "TwoByteSyntaxCharacterAutoReplacement"->True,
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    AutoItalicWords->{},
    LanguageCategory->None,
    FormatType->StandardForm],
  
  Cell[StyleData["Output", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["Output", "SlideShow"],
    ShowCellBracket->True,
    CellMargins->{{100, 50}, {6, 0}},
    PageBreakWithin->False,
    GroupPageBreakWithin->False,
    CellFrameMargins->{{8, 8}, {8, 4}},
    Background->RGBColor[1, 1, 0.8]],
  
  Cell[StyleData["Output", "Printout"],
    ShowCellBracket->False,
    CellMargins->{{39, 0}, {6, 4}},
    FontSize->9],
  
  Cell[StyleData["Output", "EnhancedPrintout"],
    ShowCellBracket->False,
    CellMargins->{{39, 0}, {6, 4}},
    FontSize->9],
  
  Cell[StyleData["Output", "EnhancedPrintoutNonGray"],
    ShowCellBracket->False,
    CellMargins->{{39, 0}, {6, 4}},
    FontSize->9]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["InputOnly"],
    ShowCellBracket->True,
    CellMargins->{{66, 4}, {8, 8}},
    Evaluatable->True,
    CellGroupingRules->"InputGrouping",
    PageBreakWithin->False,
    GroupPageBreakWithin->False,
    CellLabelAutoDelete->False,
    CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}},
    DefaultFormatType->DefaultInputFormatType,
    ShowSpecialCharacters->Automatic,
    "TwoByteSyntaxCharacterAutoReplacement"->True,
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    AutoItalicWords->{},
    LanguageCategory->"Mathematica",
    FormatType->StandardForm,
    ShowStringCharacters->True,
    NumberMarks->True,
    StyleMenuListing->None,
    FontWeight->"Bold"],
  
  Cell[StyleData["InputOnly", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["InputOnly", "SlideShow"],
    ShowCellBracket->True,
    CellMargins->{{100, 50}, {6, 6}},
    PageBreakWithin->False,
    GroupPageBreakWithin->False,
    Background->RGBColor[1, 1, 0.8]],
  
  Cell[StyleData["InputOnly", "Printout"],
    ShowCellBracket->False,
    CellMargins->{{39, 0}, {6, 6}},
    FontSize->9],
  
  Cell[StyleData["InputOnly", "EnhancedPrintout"],
    ShowCellBracket->False,
    CellMargins->{{39, 0}, {6, 6}},
    FontSize->9],
  
  Cell[StyleData["InputOnly", "EnhancedPrintoutNonGray"],
    ShowCellBracket->False,
    CellMargins->{{39, 0}, {6, 6}},
    FontSize->9]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Message"],
    ShowCellBracket->True,
    CellMargins->{{66, 4}, {4, 2}},
    CellGroupingRules->"OutputGrouping",
    PageBreakWithin->False,
    GroupPageBreakWithin->False,
    GeneratedCell->True,
    CellAutoOverwrite->True,
    ShowCellLabel->False,
    CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}},
    DefaultFormatType->DefaultOutputFormatType,
    "TwoByteSyntaxCharacterAutoReplacement"->True,
    AutoStyleOptions->{"UnmatchedBracketStyle"->None},
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    AutoItalicWords->{},
    LanguageCategory->None,
    FormatType->InputForm,
    CounterIncrements->"Message",
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontSize->10,
    FontColor->RGBColor[0.615686, 0.0627451, 0.176471]],
  
  Cell[StyleData["Message", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["Message", "SlideShow"],
    CellMargins->{{100, 50}, {6, 6}},
    FontSize->10,
    FontColor->RGBColor[0.699992, 0.4, 0]],
  
  Cell[StyleData["Message", "Printout"],
    ShowCellBracket->False,
    CellMargins->{{39, Inherited}, {Inherited, Inherited}},
    FontSize->9,
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["Message", "EnhancedPrintout"],
    ShowCellBracket->False,
    CellMargins->{{39, Inherited}, {Inherited, Inherited}},
    FontFamily->"Courier",
    FontSize->9,
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["Message", "EnhancedPrintoutNonGray"],
    ShowCellBracket->False,
    CellMargins->{{39, Inherited}, {Inherited, Inherited}},
    FontFamily->"Courier",
    FontSize->9,
    FontColor->GrayLevel[0]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Print"],
    ShowCellBracket->True,
    CellMargins->{{66, 4}, {4, 2}},
    CellGroupingRules->"OutputGrouping",
    PageBreakWithin->False,
    GroupPageBreakWithin->False,
    GeneratedCell->True,
    CellAutoOverwrite->True,
    ShowCellLabel->False,
    CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}},
    DefaultFormatType->DefaultOutputFormatType,
    "TwoByteSyntaxCharacterAutoReplacement"->True,
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    AutoItalicWords->{},
    LanguageCategory->None,
    FormatType->InputForm,
    StyleMenuListing->None],
  
  Cell[StyleData["Print", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["Print", "SlideShow"],
    CellMargins->{{100, 50}, {6, 6}}],
  
  Cell[StyleData["Print", "Printout"],
    ShowCellBracket->False,
    CellMargins->{{57, Inherited}, {Inherited, Inherited}},
    FontSize->9],
  
  Cell[StyleData["Print", "EnhancedPrintout"],
    ShowCellBracket->False,
    CellMargins->{{57, Inherited}, {Inherited, Inherited}},
    FontFamily->"Courier Std",
    FontSize->9],
  
  Cell[StyleData["Print", "EnhancedPrintoutNonGray"],
    ShowCellBracket->False,
    CellMargins->{{57, Inherited}, {Inherited, Inherited}},
    FontFamily->"Courier Std",
    FontSize->9]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Graphics"],
    ShowCellBracket->True,
    CellMargins->{{66, 4}, {4, 2}},
    CellGroupingRules->"GraphicsGrouping",
    PageBreakWithin->False,
    GeneratedCell->True,
    CellAutoOverwrite->True,
    ShowCellLabel->False,
    DefaultFormatType->DefaultFormatTypeForOutput,
    LanguageCategory->None,
    FormatType->InputForm,
    StyleMenuListing->None,
    FontWeight->"Plain"],
  
  Cell[StyleData["Graphics", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["Graphics", "SlideShow"],
    ShowCellBracket->True,
    CellMargins->{{100, 50}, {6, 0}},
    PageBreakWithin->False,
    GroupPageBreakWithin->False,
    CellFrameMargins->{{8, 8}, {4, 4}},
    Background->RGBColor[1, 1, 0.8]],
  
  Cell[StyleData["Graphics", "Printout"],
    ShowCellBracket->False,
    CellMargins->{{39, Inherited}, {Inherited, Inherited}},
    ImageSize->{250, 250},
    FontSize->9],
  
  Cell[StyleData["Graphics", "EnhancedPrintout"],
    ShowCellBracket->False,
    CellMargins->{{32, Inherited}, {Inherited, Inherited}},
    ImageSize->{250, 250},
    FontFamily->"Courier Std",
    FontSize->9],
  
  Cell[StyleData["Graphics", "EnhancedPrintoutNonGray"],
    ShowCellBracket->False,
    CellMargins->{{32, Inherited}, {Inherited, Inherited}},
    ImageSize->{250, 250},
    FontFamily->"Courier Std",
    FontSize->9]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["CellLabel"],
    LanguageCategory->None,
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontSize->9,
    FontWeight->"Plain",
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098]],
  
  Cell[StyleData["CellLabel", "Presentation"],
    FontSize->14],
  
  Cell[StyleData["CellLabel", "SlideShow"],
    FontColor->RGBColor[0.699992, 0.4, 0]],
  
  Cell[StyleData["CellLabel", "Printout"],
    FontFamily->"Courier",
    FontSize->8,
    FontSlant->"Oblique",
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["CellLabel", "EnhancedPrintout"],
    FontFamily->"Courier Std",
    FontSize->8,
    FontSlant->"Oblique",
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["CellLabel", "EnhancedPrintoutNonGray"],
    FontFamily->"Courier Std",
    FontSize->8,
    FontSlant->"Oblique",
    FontColor->GrayLevel[0]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Name"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontSize->9,
    FontWeight->"Plain",
    FontSlant->"Italic",
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098]],
  
  Cell[StyleData["Name", "Presentation"],
    FontSize->14],
  
  Cell[StyleData["Name", "Printout"],
    FontSize->7,
    FontSlant->"Oblique",
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["Name", "EnhancedPrintout"],
    FontFamily->"Frutiger-Italic",
    FontSize->7,
    FontSlant->"Plain",
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["Name", "EnhancedPrintoutNonGray"],
    FontFamily->"Frutiger-Italic",
    FontSize->7,
    FontSlant->"Plain",
    FontColor->GrayLevel[0]]
  }, Closed]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell["Hyperlinks", "Section"],
  
  Cell["\<\
The cells below define styles useful for making hypertext ButtonBoxes.  The \
\"Hyperlink\" style is for links within the same Notebook, or between \
Notebooks. The others point to the various sections of the help browser. \
These styles will modify individual words or letters in a cell exclusive of \
the cell tag.\
\>", "Text"],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Hyperlink"],
    CellBracketOptions->{"Color"->RGBColor[0.0980392, 0.329412, 0.65098]},
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`NotebookLocate[ #2]}]&),
    Active->True,
    ButtonNote->ButtonData}],
  
  Cell[StyleData["Hyperlink", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["Hyperlink", "EnhancedPrintout"],
    FontFamily->"Palatino",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["Hyperlink", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MainBookLink"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "MainBook", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["MainBookLink", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["MainBookLink", "EnhancedPrintout"],
    FontFamily->"Palatino",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["MainBookLink", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MainBookLinkMR"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontFamily->"Courier",
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "MainBook", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["MainBookLinkMR", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["MainBookLinkMR", "EnhancedPrintout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["MainBookLinkMR", "EnhancedPrintoutNonGray"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["AddOnsLink"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontFamily->"Courier",
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "AddOns", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["AddOnsLink", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["AddOnsLink", "EnhancedPrintout"],
    FontFamily->"WRICourier",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["AddOnsLink", "EnhancedPrintoutNonGray"],
    FontFamily->"WRICourier",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["AddOnsLinkText"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontFamily->"Times",
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "AddOns", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["AddOnsLinkText", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["AddOnsLinkText", "EnhancedPrintout"],
    FontFamily->"Palatino",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["AddOnsLinkText", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["RefGuideLink"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontFamily->"Courier",
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "RefGuide", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["RefGuideLink", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["RefGuideLink", "EnhancedPrintout"],
    FontFamily->"WRICourier",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["RefGuideLink", "EnhancedPrintoutNonGray"],
    FontFamily->"WRICourier",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["GettingStartedLink"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "GettingStarted", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["GettingStartedLink", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["GettingStartedLink", "EnhancedPrintout"],
    FontFamily->"Palatino",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["GettingStartedLink", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["DemosLink"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "Demos", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["DemosLink", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["DemosLink", "EnhancedPrintout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["DemosLink", "EnhancedPrintoutNonGray"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["TourLink"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "Tour", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["TourLink", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["TourLink", "EnhancedPrintout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["TourLink", "EnhancedPrintoutNonGray"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["OtherInformationLink"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "OtherInformation", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["OtherInformationLink", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["OtherInformationLink", "EnhancedPrintout"],
    FontFamily->"Palatino",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["OtherInformationLink", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino",
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["OtherInformationLinkMR"],
    StyleMenuListing->None,
    FontFamily->"Courier",
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "OtherInformation", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["OtherInformationLinkMR", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["OtherInformationLinkMR", "EnhancedPrintout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["OtherInformationLinkMR", "EnhancedPrintoutNonGray"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MasterIndexLink"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`HelpBrowserLookup[ "MasterIndex", #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["MasterIndexLink", "Printout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["MasterIndexLink", "EnhancedPrintout"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["MasterIndexLink", "EnhancedPrintoutNonGray"],
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["NotebookLink"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontFamily->"Times",
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`NotebookLocate[ #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["NotebookLink", "Printout"],
    FontSize->11,
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["NotebookLink", "EnhancedPrintout"],
    FontFamily->"Palatino",
    FontSize->10,
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["NotebookLink", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino",
    FontSize->10,
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["NotebookLinkMR"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    FontFamily->"Courier",
    FontColor->RGBColor[0.0980392, 0.329412, 0.65098],
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`NotebookLocate[ #]}]&),
    Active->True,
    ButtonFrame->"None"}],
  
  Cell[StyleData["NotebookLinkMR", "Printout"],
    FontSize->11,
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["NotebookLinkMR", "EnhancedPrintout"],
    FontSize->10,
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}],
  
  Cell[StyleData["NotebookLinkMR", "EnhancedPrintoutNonGray"],
    FontSize->10,
    FontColor->GrayLevel[0],
    FontVariations->{"Underline"->False}]
  }, Closed]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell["Palette Styles", "Section"],
  
  Cell["\<\
The cells below define styles that define standard ButtonFunctions, for use \
in palette buttons.\
\>", "Text"],
  
  Cell[StyleData["Paste"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`NotebookApply[ 
          FrontEnd`InputNotebook[ ], #, After]}]&)}],
  
  Cell[StyleData["Evaluate"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`NotebookApply[ 
          FrontEnd`InputNotebook[ ], #, All], 
        FrontEnd`SelectionEvaluate[ 
          FrontEnd`InputNotebook[ ], All]}]&)}],
  
  Cell[StyleData["EvaluateCell"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`NotebookApply[ 
          FrontEnd`InputNotebook[ ], #, All], 
        FrontEnd`SelectionMove[ 
          FrontEnd`InputNotebook[ ], All, Cell, 1], 
        FrontEnd`SelectionEvaluateCreateCell[ 
          FrontEnd`InputNotebook[ ], All]}]&)}],
  
  Cell[StyleData["CopyEvaluate"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`SelectionCreateCell[ 
          FrontEnd`InputNotebook[ ], All], 
        FrontEnd`NotebookApply[ 
          FrontEnd`InputNotebook[ ], #, All], 
        FrontEnd`SelectionEvaluate[ 
          FrontEnd`InputNotebook[ ], All]}]&)}],
  
  Cell[StyleData["CopyEvaluateCell"],
    StyleMenuListing->None,
    ButtonStyleMenuListing->Automatic,
    ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ {
        FrontEnd`SelectionCreateCell[ 
          FrontEnd`InputNotebook[ ], All], 
        FrontEnd`NotebookApply[ 
          FrontEnd`InputNotebook[ ], #, All], 
        FrontEnd`SelectionEvaluateCreateCell[ 
          FrontEnd`InputNotebook[ ], All]}]&)}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell["Inline Formatting", "Section"],
  
  Cell["\<\
These styles are for modifying individual words or letters in a cell \
exclusive of the cell tag.\
\>", "Text"],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["JT"],
    StyleMenuListing->None,
    FontFamily->"JFontText"],
  
  Cell[StyleData["JT", "Printout"]],
  
  Cell[StyleData["JT", "EnhancedPrintout"]],
  
  Cell[StyleData["JT", "EnhancedPrintoutNonGray"]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["JS"],
    StyleMenuListing->None,
    FontFamily->"JFontSans"],
  
  Cell[StyleData["JS", "Printout"]],
  
  Cell[StyleData["JS", "EnhancedPrintout"]],
  
  Cell[StyleData["JS", "EnhancedPrintoutNonGray"]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["JSB"],
    StyleMenuListing->None,
    FontFamily->"JFontSansBold"],
  
  Cell[StyleData["JSB", "Printout"]],
  
  Cell[StyleData["JSB", "EnhancedPrintout"]],
  
  Cell[StyleData["JSB", "EnhancedPrintoutNonGray"]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["RM"],
    StyleMenuListing->None,
    FontWeight->"Plain",
    FontSlant->"Plain"],
  
  Cell[StyleData["RM", "Printout"]],
  
  Cell[StyleData["RM", "EnhancedPrintout"]],
  
  Cell[StyleData["RM", "EnhancedPrintoutNonGray"]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["BF"],
    StyleMenuListing->None,
    FontWeight->"Bold"],
  
  Cell[StyleData["BF", "Printout"]],
  
  Cell[StyleData["BF", "EnhancedPrintout"]],
  
  Cell[StyleData["BF", "EnhancedPrintoutNonGray"]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["IT"],
    StyleMenuListing->None,
    FontSlant->"Italic"],
  
  Cell[StyleData["IT", "Printout"]],
  
  Cell[StyleData["IT", "EnhancedPrintout"]],
  
  Cell[StyleData["IT", "EnhancedPrintoutNonGray"]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["TR"],
    StyleMenuListing->None,
    FontFamily->"Times",
    FontWeight->"Plain",
    FontSlant->"Plain"],
  
  Cell[StyleData["TR", "Printout"]],
  
  Cell[StyleData["TR", "EnhancedPrintout"],
    FontFamily->"Palatino"],
  
  Cell[StyleData["TR", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["TI"],
    StyleMenuListing->None,
    FontFamily->"Times",
    FontSlant->"Italic"],
  
  Cell[StyleData["TI", "Printout"]],
  
  Cell[StyleData["TI", "EnhancedPrintout"],
    FontFamily->"Palatino"],
  
  Cell[StyleData["TI", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["TB"],
    StyleMenuListing->None,
    FontFamily->"Times",
    FontWeight->"Bold",
    FontSlant->"Plain"],
  
  Cell[StyleData["TB", "Printout"]],
  
  Cell[StyleData["TB", "EnhancedPrintout"],
    FontFamily->"Palatino"],
  
  Cell[StyleData["TB", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["TBI"],
    StyleMenuListing->None,
    FontFamily->"Times",
    FontWeight->"Bold",
    FontSlant->"Italic"],
  
  Cell[StyleData["TBI", "Printout"]],
  
  Cell[StyleData["TBI", "EnhancedPrintout"],
    FontFamily->"Palatino"],
  
  Cell[StyleData["TBI", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MR"],
    Hyphenation->True,
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    AutoItalicWords->{},
    StyleMenuListing->None,
    FontFamily->"Courier",
    FontWeight->"Plain",
    FontSlant->"Plain"],
  
  Cell[StyleData["MR", "Printout"]],
  
  Cell[StyleData["MR", "EnhancedPrintout"],
    FontFamily->"Courier Std"],
  
  Cell[StyleData["MR", "EnhancedPrintoutNonGray"],
    FontFamily->"Courier Std"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MO"],
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    StyleMenuListing->None,
    FontFamily->"Courier",
    FontWeight->"Plain",
    FontSlant->"Italic"],
  
  Cell[StyleData["MO", "Printout"],
    FontSlant->"Oblique"],
  
  Cell[StyleData["MO", "EnhancedPrintout"],
    FontFamily->"Courier Std",
    FontSlant->"Oblique"],
  
  Cell[StyleData["MO", "EnhancedPrintoutNonGray"],
    FontFamily->"Courier Std",
    FontSlant->"Oblique"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MB"],
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    StyleMenuListing->None,
    FontFamily->"Courier",
    FontWeight->"Bold",
    FontSlant->"Plain"],
  
  Cell[StyleData["MB", "Printout"]],
  
  Cell[StyleData["MB", "EnhancedPrintout"],
    FontFamily->"Courier Std"],
  
  Cell[StyleData["MB", "EnhancedPrintoutNonGray"],
    FontFamily->"Courier Std"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MBO"],
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    StyleMenuListing->None,
    FontFamily->"Courier",
    FontWeight->"Bold",
    FontSlant->"Italic"],
  
  Cell[StyleData["MBO", "Printout"],
    FontSlant->"Oblique"],
  
  Cell[StyleData["MBO", "EnhancedPrintout"],
    FontFamily->"Courier Std",
    FontSlant->"Oblique"],
  
  Cell[StyleData["MBO", "EnhancedPrintoutNonGray"],
    FontFamily->"Courier Std",
    FontSlant->"Oblique"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["SR"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontWeight->"Plain",
    FontSlant->"Plain"],
  
  Cell[StyleData["SR", "Printout"]],
  
  Cell[StyleData["SR", "EnhancedPrintout"],
    FontFamily->"Frutiger-Roman"],
  
  Cell[StyleData["SR", "EnhancedPrintoutNonGray"],
    FontFamily->"Frutiger-Roman"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["SO"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontWeight->"Plain",
    FontSlant->"Italic"],
  
  Cell[StyleData["SO", "Printout"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontWeight->"Plain",
    FontSlant->"Italic"],
  
  Cell[StyleData["SO", "EnhancedPrintout"],
    FontFamily->"Frutiger-Italic",
    FontSlant->"Plain"],
  
  Cell[StyleData["SO", "EnhancedPrintoutNonGray"],
    FontFamily->"Frutiger-Italic",
    FontSlant->"Plain"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["SB"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontWeight->"Bold",
    FontSlant->"Plain"],
  
  Cell[StyleData["SB", "Printout"],
    StyleMenuListing->None],
  
  Cell[StyleData["SB", "EnhancedPrintout"],
    FontFamily->"Frutiger-Bold",
    FontWeight->"Plain"],
  
  Cell[StyleData["SB", "EnhancedPrintoutNonGray"],
    FontFamily->"Frutiger-Bold",
    FontWeight->"Plain"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["SBColor"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontWeight->"Bold",
    FontSlant->"Plain"],
  
  Cell[StyleData["SBColor", "Printout"],
    StyleMenuListing->None],
  
  Cell[StyleData["SBColor", "EnhancedPrintout"],
    FontFamily->"Frutiger-Bold",
    FontWeight->"Plain"],
  
  Cell[StyleData["SBColor", "EnhancedPrintoutNonGray"],
    FontFamily->"Frutiger-Bold",
    FontWeight->"Plain"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["SBO"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontWeight->"Bold",
    FontSlant->"Italic"],
  
  Cell[StyleData["SBO", "Printout"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontWeight->"Bold",
    FontSlant->"Italic"],
  
  Cell[StyleData["SBO", "EnhancedPrintout"],
    FontFamily->"Frutiger-BoldItalic",
    FontWeight->"Plain",
    FontSlant->"Plain"],
  
  Cell[StyleData["SBO", "EnhancedPrintoutNonGray"],
    FontFamily->"Frutiger-BoldItalic",
    FontWeight->"Plain",
    FontSlant->"Plain"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["M4"],
    ShowCellBracket->True,
    StyleMenuListing->None,
    FontFamily->"Mathematica4",
    CharacterEncoding->"Mathematica4"],
  
  Cell[StyleData["M4", "Printout"],
    ShowCellBracket->True,
    StyleMenuListing->None,
    FontFamily->"Mathematica4",
    CharacterEncoding->"Mathematica4"],
  
  Cell[StyleData["M4", "EnhancedPrintout"],
    ShowCellBracket->True,
    StyleMenuListing->None,
    FontFamily->"Mathematica4",
    CharacterEncoding->"Mathematica4"],
  
  Cell[StyleData["M4", "EnhancedPrintoutNonGray"],
    ShowCellBracket->True,
    StyleMenuListing->None,
    FontFamily->"Mathematica4",
    CharacterEncoding->"Mathematica4"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["SO10"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontSize->10,
    FontWeight->"Plain",
    FontSlant->"Italic"],
  
  Cell[StyleData["SO10", "Printout"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontSize->8,
    FontWeight->"Plain",
    FontSlant->"Italic"],
  
  Cell[StyleData["SO10", "EnhancedPrintout"],
    StyleMenuListing->None,
    FontFamily->"Frutiger-Italic",
    FontSize->8,
    FontWeight->"Plain",
    FontSlant->"Plain"],
  
  Cell[StyleData["SO10", "EnhancedPrintoutNonGray"],
    StyleMenuListing->None,
    FontFamily->"Frutiger-Italic",
    FontSize->8,
    FontWeight->"Plain",
    FontSlant->"Plain"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["S9"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontSize->9,
    FontWeight->"Plain"],
  
  Cell[StyleData["S9", "Printout"],
    FontSize->9,
    FontWeight->"Plain"],
  
  Cell[StyleData["S9", "EnhancedPrintout"],
    FontFamily->"Frutiger-Roman",
    FontSize->9,
    FontWeight->"Plain"],
  
  Cell[StyleData["S9", "EnhancedPrintoutNonGray"],
    FontFamily->"Frutiger-Roman",
    FontSize->9,
    FontWeight->"Plain"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["S10"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontSize->10,
    FontWeight->"Plain"],
  
  Cell[StyleData["S10", "Printout"],
    FontSize->10,
    FontWeight->"Plain"],
  
  Cell[StyleData["S10", "EnhancedPrintout"],
    FontFamily->"Frutiger-Roman",
    FontSize->10,
    FontWeight->"Plain"],
  
  Cell[StyleData["S10", "EnhancedPrintoutNonGray"],
    FontFamily->"Frutiger-Roman",
    FontSize->10,
    FontWeight->"Plain"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["SB9"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontSize->9,
    FontWeight->"Bold",
    PrivateFontOptions->{"OperatorSubstitution"->False}],
  
  Cell[StyleData["SB9", "Printout"],
    FontSize->7],
  
  Cell[StyleData["SB9", "EnhancedPrintout"],
    FontFamily->"Frutiger-Bold",
    FontSize->7,
    FontWeight->"Plain"],
  
  Cell[StyleData["SB9", "EnhancedPrintoutNonGray"],
    FontFamily->"Frutiger-Bold",
    FontSize->7,
    FontWeight->"Plain"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["SB10"],
    StyleMenuListing->None,
    FontFamily->"Helvetica",
    FontSize->10,
    FontWeight->"Bold"],
  
  Cell[StyleData["SB10", "Printout"],
    FontSize->8],
  
  Cell[StyleData["SB10", "EnhancedPrintout"],
    FontFamily->"Frutiger-Bold",
    FontSize->8,
    FontWeight->"Plain"],
  
  Cell[StyleData["SB10", "EnhancedPrintoutNonGray"],
    FontFamily->"Frutiger-Bold",
    FontSize->8,
    FontWeight->"Plain"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MR10"],
    Hyphenation->True,
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    SingleLetterItalics->False,
    StyleMenuListing->None,
    FontFamily->"Courier",
    FontSize->10,
    FontWeight->"Plain",
    FontSlant->"Plain"],
  
  Cell[StyleData["MR10", "Printout"],
    FontSize->7],
  
  Cell[StyleData["MR10", "EnhancedPrintout"],
    FontFamily->"Courier Std",
    FontSize->7],
  
  Cell[StyleData["MR10", "EnhancedPrintoutNonGray"],
    FontFamily->"Courier Std",
    FontSize->7]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MO10"],
    Hyphenation->True,
    HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"},
    SingleLetterItalics->False,
    StyleMenuListing->None,
    FontFamily->"Courier",
    FontSize->10,
    FontSlant->"Italic"],
  
  Cell[StyleData["MO10", "Printout"],
    FontSize->7],
  
  Cell[StyleData["MO10", "EnhancedPrintout"],
    FontFamily->"Courier Std",
    FontSize->7],
  
  Cell[StyleData["MO10", "EnhancedPrintoutNonGray"],
    FontFamily->"Courier Std",
    FontSize->7]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["C1"],
    StyleMenuListing->None,
    FontColor->RGBColor[0.4, 0, 1]],
  
  Cell[StyleData["C1", "Printout"],
    FontSize->10,
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["C1", "EnhancedPrintout"],
    FontFamily->"Palatino",
    FontSize->10,
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["C1", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino",
    FontSize->10,
    FontColor->GrayLevel[0]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["C1MR"],
    StyleMenuListing->None,
    FontFamily->"Courier",
    FontColor->RGBColor[0.4, 0, 1]],
  
  Cell[StyleData["C1MR", "Printout"],
    FontSize->10,
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["C1MR", "EnhancedPrintout"],
    FontFamily->"Courier Std",
    FontSize->10,
    FontColor->GrayLevel[0]],
  
  Cell[StyleData["C1MR", "EnhancedPrintoutNonGray"],
    FontFamily->"Courier Std",
    FontSize->10,
    FontColor->GrayLevel[0]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["SmallCaps"],
    StyleMenuListing->None,
    Magnification->0.8],
  
  Cell[StyleData["SmallCaps", "Printout"]],
  
  Cell[StyleData["SmallCaps", "EnhancedPrintout"],
    FontFamily->"Palatino"],
  
  Cell[StyleData["SmallCaps", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino"]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["KeyboardChars"],
    StyleMenuListing->None,
    FontSize->12],
  
  Cell[StyleData["KeyboardChars", "Printout"],
    FontSize->10],
  
  Cell[StyleData["KeyboardChars", "EnhancedPrintout"],
    FontFamily->"Palatino",
    FontSize->10],
  
  Cell[StyleData["KeyboardChars", "EnhancedPrintoutNonGray"],
    FontFamily->"Palatino",
    FontSize->10]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Inert"],
    StyleMenuListing->None,
    Background->RGBColor[0.870588, 0.905882, 0.972549]],
  
  Cell[StyleData["Inert", "Printout"],
    StyleMenuListing->None,
    Background->GrayLevel[1]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell["TMB Specific", "Subsection"],
  
  Cell[StyleData["HeadingNumber"],
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  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell["Emphasis Boxes and Pictures", "Section"],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Box"],
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    CellMargins->{{27, 12}, {0, 8}},
    CellHorizontalScrolling->True,
    CellFrameColor->RGBColor[0.498039, 0.556863, 0.168627],
    StyleMenuListing->None,
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    BoxMargins->True},
    GridBoxOptions->{ColumnSpacings->1}],
  
  Cell[StyleData["Box", "Presentation"],
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  Cell[StyleData["Box", "Printout"],
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    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[0.900008]],
  
  Cell[StyleData["Box", "EnhancedPrintout"],
    CellMargins->{{2, 0}, {0, 8}},
    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[0.900008]],
  
  Cell[StyleData["Box", "EnhancedPrintoutNonGray"],
    CellMargins->{{2, 0}, {0, 8}},
    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[1]]
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  Cell[CellGroupData[{
  
  Cell[StyleData["DoubleBox"],
    CellFrame->0.5,
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    CellHorizontalScrolling->True,
    CellFrameColor->RGBColor[0.498039, 0.556863, 0.168627],
    StyleMenuListing->None,
    Background->RGBColor[0.890196, 0.862745, 0.752941],
    FrameBoxOptions->{BoxFrame->0.5,
    BoxMargins->True},
    GridBoxOptions->{ColumnSpacings->2,
    RowAlignments->Top}],
  
  Cell[StyleData["DoubleBox", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["DoubleBox", "Printout"],
    CellMargins->{{2, 0}, {0, 8}},
    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[0.900008]],
  
  Cell[StyleData["DoubleBox", "EnhancedPrintout"],
    CellMargins->{{2, 0}, {0, 8}},
    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[0.900008]],
  
  Cell[StyleData["DoubleBox", "EnhancedPrintoutNonGray"],
    CellMargins->{{2, 0}, {0, 8}},
    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[1]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["FramedBox"],
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    CellMargins->{{27, 12}, {0, 8}},
    CellHorizontalScrolling->True,
    PageBreakWithin->False,
    CellFrameColor->RGBColor[0.25098, 0.27451, 0.0862745],
    AutoIndent->False,
    AutoSpacing->False,
    LineIndent->0,
    FontWeight->"Plain",
    Background->RGBColor[0.890196, 0.862745, 0.752941],
    GridBoxOptions->{RowSpacings->1.5,
    ColumnAlignments->{Left}}],
  
  Cell[StyleData["FramedBox", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["FramedBox", "Printout"],
    CellMargins->{{2, 4}, {0, 8}},
    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[1]],
  
  Cell[StyleData["FramedBox", "EnhancedPrintout"],
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    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1]],
  
  Cell[StyleData["FramedBox", "EnhancedPrintoutNonGray"],
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    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1]]
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  Cell[CellGroupData[{
  
  Cell[StyleData["DefinitionBox"],
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    AutoSpacing->False,
    LineIndent->0,
    FontWeight->"Plain",
    Background->RGBColor[0.890196, 0.862745, 0.752941],
    GridBoxOptions->{RowSpacings->1.5,
    ColumnSpacings->1,
    ColumnWidths->{0.4, 0.6},
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  Cell[StyleData["DefinitionBox", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["DefinitionBox", "Printout"],
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    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[1]],
  
  Cell[StyleData["DefinitionBox", "EnhancedPrintout"],
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    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1]],
  
  Cell[StyleData["DefinitionBox", "EnhancedPrintoutNonGray"],
    CellMargins->{{2, 4}, {0, 8}},
    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["PrecedenceTable"],
    CellFrame->0.5,
    CellMargins->{{27, 12}, {0, 8}},
    CellHorizontalScrolling->True,
    PageBreakWithin->False,
    CellFrameColor->RGBColor[0.498039, 0.556863, 0.168627],
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    FontWeight->"Plain",
    Background->RGBColor[0.890196, 0.862745, 0.752941],
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    ColumnSpacings->1,
    ColumnWidths->{0.3, 0.45, 0.2, 0.05},
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  Cell[StyleData["PrecedenceTable", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["PrecedenceTable", "Printout"],
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    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[1]],
  
  Cell[StyleData["PrecedenceTable", "EnhancedPrintout"],
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    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1]],
  
  Cell[StyleData["PrecedenceTable", "EnhancedPrintoutNonGray"],
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    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["TopBox"],
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    CellHorizontalScrolling->True,
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    CellFrameColor->RGBColor[0.498039, 0.556863, 0.168627],
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    LineIndent->0,
    StyleMenuListing->None,
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    GridBoxOptions->{RowSpacings->1.5,
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    ColumnWidths->{0.31, 0.62},
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  Cell[StyleData["TopBox", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["TopBox", "Printout"],
    CellMargins->{{2, 0}, {0, 8}},
    CellFrameColor->GrayLevel[0],
    Background->GrayLevel[1]],
  
  Cell[StyleData["TopBox", "EnhancedPrintout"],
    CellMargins->{{2, 0}, {0, 8}},
    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    Background->GrayLevel[1]],
  
  Cell[StyleData["TopBox", "EnhancedPrintoutNonGray"],
    CellMargins->{{2, 0}, {0, 8}},
    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    Background->GrayLevel[1]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["MiddleBox"],
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    CellHorizontalScrolling->True,
    PageBreakAbove->False,
    PageBreakBelow->False,
    CellFrameColor->RGBColor[0.498039, 0.556863, 0.168627],
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    AutoSpacing->False,
    LineIndent->0,
    StyleMenuListing->None,
    FontWeight->"Plain",
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    ColumnSpacings->1,
    ColumnWidths->{0.31, 0.62},
    ColumnAlignments->{Left}}],
  
  Cell[StyleData["MiddleBox", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["MiddleBox", "Printout"],
    CellMargins->{{2, 0}, {0, 2}},
    CellFrameColor->GrayLevel[0],
    Background->GrayLevel[1]],
  
  Cell[StyleData["MiddleBox", "EnhancedPrintout"],
    CellMargins->{{2, 0}, {0, 4}},
    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    Background->GrayLevel[1]],
  
  Cell[StyleData["MiddleBox", "EnhancedPrintoutNonGray"],
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    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    Background->GrayLevel[1]]
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  Cell[CellGroupData[{
  
  Cell[StyleData["BottomBox"],
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    CellHorizontalScrolling->True,
    PageBreakAbove->False,
    PageBreakBelow->False,
    CellFrameColor->RGBColor[0.498039, 0.556863, 0.168627],
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    AutoSpacing->False,
    LineIndent->0,
    StyleMenuListing->None,
    FontWeight->"Plain",
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    GridBoxOptions->{RowSpacings->1.5,
    ColumnSpacings->1,
    ColumnWidths->{0.31, 0.62},
    ColumnAlignments->{Left}}],
  
  Cell[StyleData["BottomBox", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["BottomBox", "Printout"],
    CellMargins->{{2, 0}, {0, -5}},
    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[1],
    GridBoxOptions->{RowMinHeight->2.2}],
  
  Cell[StyleData["BottomBox", "EnhancedPrintout"],
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    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1],
    GridBoxOptions->{RowMinHeight->2.2}],
  
  Cell[StyleData["BottomBox", "EnhancedPrintoutNonGray"],
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    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
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    Background->GrayLevel[1],
    GridBoxOptions->{RowMinHeight->2.2}]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["TopSpanBox"],
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    CellHorizontalScrolling->True,
    PageBreakBelow->False,
    CellFrameColor->RGBColor[0.498039, 0.556863, 0.168627],
    AutoIndent->False,
    AutoSpacing->False,
    LineIndent->0,
    StyleMenuListing->None,
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    Background->RGBColor[0.890196, 0.862745, 0.752941],
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    ColumnSpacings->1,
    ColumnWidths->{0.9, 0.03},
    ColumnAlignments->{Left}}],
  
  Cell[StyleData["TopSpanBox", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["TopSpanBox", "Printout"],
    CellMargins->{{2, 0}, {-2, 8}},
    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[1]],
  
  Cell[StyleData["TopSpanBox", "EnhancedPrintout"],
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    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1]],
  
  Cell[StyleData["TopSpanBox", "EnhancedPrintoutNonGray"],
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    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1]]
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  Cell[CellGroupData[{
  
  Cell[StyleData["MiddleSpanBox"],
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    CellHorizontalScrolling->True,
    PageBreakAbove->False,
    PageBreakBelow->False,
    CellFrameColor->RGBColor[0.498039, 0.556863, 0.168627],
    AutoIndent->False,
    AutoSpacing->False,
    LineIndent->0,
    StyleMenuListing->None,
    FontWeight->"Plain",
    Background->RGBColor[0.890196, 0.862745, 0.752941],
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    ColumnSpacings->1,
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    ColumnAlignments->{Left}}],
  
  Cell[StyleData["MiddleSpanBox", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["MiddleSpanBox", "Printout"],
    CellMargins->{{2, 0}, {-5, 0}},
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    FontSize->10,
    Background->GrayLevel[1],
    GridBoxOptions->{RowMinHeight->1.8}],
  
  Cell[StyleData["MiddleSpanBox", "EnhancedPrintout"],
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    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1],
    GridBoxOptions->{RowMinHeight->1.8}],
  
  Cell[StyleData["MiddleSpanBox", "EnhancedPrintoutNonGray"],
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    CellFrameColor->GrayLevel[0],
    FontFamily->"Palatino",
    FontSize->10,
    Background->GrayLevel[1],
    GridBoxOptions->{RowMinHeight->1.8}]
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  Cell[CellGroupData[{
  
  Cell[StyleData["Picture"],
    CellMargins->{{27, Inherited}, {4, 4}},
    CellGroupingRules->"GraphicsGrouping",
    CellHorizontalScrolling->True,
    StyleMenuListing->None],
  
  Cell[StyleData["Picture", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["Picture", "Printout"],
    CellMargins->{{2, Inherited}, {4, 4}},
    Magnification->0.65],
  
  Cell[StyleData["Picture", "EnhancedPrintout"],
    CellMargins->{{2, Inherited}, {4, 2}},
    Magnification->0.65],
  
  Cell[StyleData["Picture", "EnhancedPrintoutNonGray"],
    CellMargins->{{2, Inherited}, {4, 2}},
    Magnification->0.65]
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  Cell[CellGroupData[{
  
  Cell[StyleData["OpenCloseItemizedPicture"],
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    PrivateCellOptions->{"DefaultCellGroupOpen"->False},
    CellGroupingRules->"GraphicsGrouping",
    CellHorizontalScrolling->True,
    StyleMenuListing->None],
  
  Cell[StyleData["OpenCloseItemizedPicture", "Presentation"],
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  Cell[StyleData["OpenCloseItemizedPicture", "Printout"],
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    CellElementSpacings->{"CellMinHeight"->1,
    "ClosedCellHeight"->0},
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  Cell[StyleData["OpenCloseItemizedPicture", "EnhancedPrintout"],
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    CellElementSpacings->{"CellMinHeight"->1,
    "ClosedCellHeight"->0},
    CellOpen->False],
  
  Cell[StyleData["OpenCloseItemizedPicture", "EnhancedPrintoutNonGray"],
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    CellElementSpacings->{"CellMinHeight"->1,
    "ClosedCellHeight"->0},
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  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["ItemizedPicture"],
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    CellGroupingRules->"GraphicsGrouping",
    CellHorizontalScrolling->True,
    StyleMenuListing->None],
  
  Cell[StyleData["ItemizedPicture", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["ItemizedPicture", "Printout"],
    CellMargins->{{77, 2}, {4, -4}},
    Magnification->0.5],
  
  Cell[StyleData["ItemizedPicture", "EnhancedPrintout"],
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    Magnification->0.5],
  
  Cell[StyleData["ItemizedPicture", "EnhancedPrintoutNonGray"],
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  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["ListGraphic"],
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    CellGroupingRules->"GraphicsGrouping",
    CellHorizontalScrolling->True,
    StyleMenuListing->None],
  
  Cell[StyleData["ListGraphic", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["ListGraphic", "Printout"],
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    Magnification->0.5],
  
  Cell[StyleData["ListGraphic", "EnhancedPrintout"],
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    Magnification->0.5],
  
  Cell[StyleData["ListGraphic", "EnhancedPrintoutNonGray"],
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  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["ListNoteBox"],
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    CellHorizontalScrolling->True,
    CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941],
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    StyleMenuListing->None,
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    GridBoxOptions->{ColumnSpacings->1}],
  
  Cell[StyleData["ListNoteBox", "Presentation"],
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  Cell[StyleData["ListNoteBox", "Printout"],
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    FontSize->10,
    Background->GrayLevel[0.900008]],
  
  Cell[StyleData["ListNoteBox", "EnhancedPrintout"],
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    CellFrameColor->GrayLevel[0],
    FontSize->10,
    Background->GrayLevel[0.900008]],
  
  Cell[StyleData["ListNoteBox", "EnhancedPrintoutNonGray"],
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    CellFrameColor->GrayLevel[0],
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    Background->GrayLevel[1]]
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  Cell[CellGroupData[{
  
  Cell[StyleData["PictureGroup"],
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    CellGroupingRules->"GraphicsGrouping",
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    StyleMenuListing->None],
  
  Cell[StyleData["PictureGroup", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["PictureGroup", "Printout"],
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    CellElementSpacings->{"CellMinHeight"->1,
    "ClosedCellHeight"->0},
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  Cell[StyleData["PictureGroup", "EnhancedPrintout"],
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    CellElementSpacings->{"CellMinHeight"->1,
    "ClosedCellHeight"->0},
    CellOpen->False],
  
  Cell[StyleData["PictureGroup", "EnhancedPrintoutNonGray"],
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    "ClosedCellHeight"->0},
    CellOpen->False]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Sound"],
    ShowCellBracket->True,
    CellMargins->{{27, Inherited}, {0, 8}},
    StyleMenuListing->None],
  
  Cell[StyleData["Sound", "Presentation"],
    FontSize->18],
  
  Cell[StyleData["Sound", "Printout"],
    CellMargins->{{2, 0}, {0, 8}},
    FontSize->10],
  
  Cell[StyleData["Sound", "EnhancedPrintout"],
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    FontSize->10],
  
  Cell[StyleData["Sound", "EnhancedPrintoutNonGray"],
    CellMargins->{{2, 0}, {0, 8}},
    FontSize->10]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["Caption"],
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    PageBreakAbove->False,
    StyleMenuListing->None,
    FontFamily->"Helvetica",
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  Cell[StyleData["Caption", "Presentation"],
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  Cell[StyleData["Caption", "Printout"],
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    FontSize->7],
  
  Cell[StyleData["Caption", "EnhancedPrintout"],
    CellMargins->{{2, 4}, {2, 2}},
    FontFamily->"Frutiger-Roman",
    FontSize->7],
  
  Cell[StyleData["Caption", "EnhancedPrintoutNonGray"],
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    FontFamily->"Frutiger-Roman",
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  }, Closed]]
  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell["Tables", "Section"],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["2ColumnTable"],
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    LineIndent->0,
    StyleMenuListing->None,
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  Cell[StyleData["2ColumnTable", "Presentation"],
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  Cell[StyleData["2ColumnTable", "Printout"],
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    FontSize->9],
  
  Cell[StyleData["2ColumnTable", "EnhancedPrintout"],
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    FontSize->9],
  
  Cell[StyleData["2ColumnTable", "EnhancedPrintoutNonGray"],
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  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["2ColumnEvenTable"],
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    CellHorizontalScrolling->True,
    LineIndent->0,
    StyleMenuListing->None,
    GridBoxOptions->{ColumnWidths->0.49,
    ColumnAlignments->{Left}}],
  
  Cell[StyleData["2ColumnEvenTable", "Presentation"],
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  Cell[StyleData["2ColumnEvenTable", "Printout"],
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    FontSize->9],
  
  Cell[StyleData["2ColumnEvenTable", "EnhancedPrintout"],
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    FontSize->9],
  
  Cell[StyleData["2ColumnEvenTable", "EnhancedPrintoutNonGray"],
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  }, Closed]],
  
  Cell[CellGroupData[{
  
  Cell[StyleData["3ColumnTable"],
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    CellHorizontalScrolling->True,
    LineIndent->0,
    StyleMenuListing->None,
    GridBoxOptions->{ColumnWidths->{0.28, 0.28, 0.43},
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  Cell[StyleData["3ColumnTable", "Presentation"],
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  Cell[StyleData["3ColumnTable", "Printout"],
    CellMargins->{{2, 0}, {0, 8}},
    FontSize->9],
  
  Cell[StyleData["3ColumnTable", "EnhancedPrintout"],
    CellMargins->{{2, 0}, {0, 8}},
    FontSize->9],
  
  Cell[StyleData["3ColumnTable", "EnhancedPrintoutNonGray"],
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  }, Closed]]
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(*******************************************************************
Cached data follows.  If you edit this Notebook file directly, not
using Mathematica, you must remove the line containing CacheID at
the top of  the file.  The cache data will then be recreated when
you save this file from within Mathematica.
*******************************************************************)

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End of Mathematica Notebook file.
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