Class information for: |
Basic class information |
Hierarchy of classes |
The table includes all classes above and classes immediately below the current class. |
| Cluster id | Level | Cluster label | #P |
|---|---|---|---|
| 14 | 4 | MATHEMATICS//MATHEMATICS, APPLIED//MATH | 912822 |
| 486 | 3 | ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS//HAUSDORFF DIMENSION | 24099 |
| 3714 | 2 | MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION | 1196 |
| 17822 | 1 | MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION | 608 |
| 28911 | 1 | 3X1 PROBLEM//COLLATZ CONJECTURE//COLLATZ PROBLEM | 215 |
| 29153 | 1 | TERNARY CYCLOTOMIC POLYNOMIAL//FLAT CYCLOTOMIC POLYNOMIAL//BOMBIERIS NORM | 210 |
| 31665 | 1 | DIVERGENT PERMUTATIONS//CONVERGENT PERMUTATIONS//UNIVERSAL FUZZY MEASURE | 163 |
Terms with highest relevance score |
| rank | Category | termType | chi_square | shrOfCwithTerm | shrOfTermInClass | termInClass |
|---|---|---|---|---|---|---|
| 1 | MAHLER MEASURE | authKW | 1337540 | 7% | 60% | 84 |
| 2 | SALEM NUMBERS | authKW | 364370 | 2% | 63% | 22 |
| 3 | EXPLICIT AUXILIARY FUNCTION | authKW | 342553 | 1% | 100% | 13 |
| 4 | 3X1 PROBLEM | authKW | 321214 | 1% | 76% | 16 |
| 5 | TERNARY CYCLOTOMIC POLYNOMIAL | authKW | 316203 | 1% | 100% | 12 |
| 6 | LEHMERS PROBLEM | authKW | 282033 | 1% | 63% | 17 |
| 7 | INTEGER TRANSFINITE DIAMETER | authKW | 239546 | 1% | 91% | 10 |
| 8 | PISOT NUMBERS | authKW | 193030 | 2% | 26% | 28 |
| 9 | COLLATZ CONJECTURE | authKW | 177860 | 1% | 75% | 9 |
| 10 | COLLATZ PROBLEM | authKW | 177860 | 1% | 75% | 9 |
Web of Science journal categories |
| chi_square_rank | Category | chi_square | shrOfCwithTerm | shrOfTermInClass | termInClass |
|---|---|---|---|---|---|
| 1 | Mathematics | 42138 | 80% | 0% | 959 |
| 2 | Mathematics, Applied | 3606 | 23% | 0% | 270 |
| 3 | Computer Science, Theory & Methods | 491 | 6% | 0% | 74 |
| 4 | Logic | 51 | 1% | 0% | 6 |
| 5 | Statistics & Probability | 42 | 2% | 0% | 24 |
| 6 | Computer Science, Cybernetics | 15 | 0% | 0% | 5 |
| 7 | Multidisciplinary Sciences | 6 | 1% | 0% | 8 |
| 8 | Computer Science, Software Engineering | 4 | 1% | 0% | 11 |
| 9 | Physics, Mathematical | 2 | 1% | 0% | 13 |
| 10 | Social Sciences, Mathematical Methods | 0 | 0% | 0% | 2 |
Address terms |
| chi_square_rank | term | chi_square | shrOfCwithTerm | shrOfTermInClass | termInClass |
|---|---|---|---|---|---|
| 1 | UER 48 EQUIPE RECH 294 | 105401 | 0% | 100% | 4 |
| 2 | CNRSUMR 7122 | 59287 | 0% | 75% | 3 |
| 3 | EQUIPE MATH PL | 29640 | 0% | 38% | 3 |
| 4 | UFR MIM | 27719 | 1% | 11% | 10 |
| 5 | C C MOL | 26350 | 0% | 100% | 1 |
| 6 | CNR BIOIMAGES MOL PHYSIOL | 26350 | 0% | 100% | 1 |
| 7 | CNRSUMR 7586UNIV PARIS DIDEROTSORBONNE PARIS C | 26350 | 0% | 100% | 1 |
| 8 | DEF AUSTRALIA HMAS STIRLING | 26350 | 0% | 100% | 1 |
| 9 | DIPARTIRNENTO MATEMAT | 26350 | 0% | 100% | 1 |
| 10 | EQUIPE RECH 294 UER 48 | 26350 | 0% | 100% | 1 |
Journals |
| chi_square_rank | term | chi_square | shrOfCwithTerm | shrOfTermInClass | termInClass |
|---|---|---|---|---|---|
| 1 | ACTA ARITHMETICA | 67984 | 8% | 3% | 92 |
| 2 | JOURNAL OF NUMBER THEORY | 41028 | 7% | 2% | 87 |
| 3 | AMERICAN MATHEMATICAL MONTHLY | 20068 | 4% | 2% | 46 |
| 4 | MATHEMATICS OF COMPUTATION | 17516 | 4% | 1% | 52 |
| 5 | RAMANUJAN JOURNAL | 12970 | 2% | 2% | 23 |
| 6 | EXPERIMENTAL MATHEMATICS | 7813 | 1% | 2% | 15 |
| 7 | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 5356 | 2% | 1% | 22 |
| 8 | JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 5344 | 1% | 3% | 7 |
| 9 | INTERNATIONAL JOURNAL OF NUMBER THEORY | 4795 | 1% | 1% | 15 |
| 10 | JOURNAL OF SYMBOLIC COMPUTATION | 3311 | 1% | 1% | 17 |
Author Key Words |
| chi_square_rank | term | chi_square | shrOfCwithTerm | shrOfTermInClass | termInClass | LCSH search | Wikipedia search |
|---|---|---|---|---|---|---|---|
| 1 | MAHLER MEASURE | 1337540 | 7% | 60% | 84 | Search MAHLER+MEASURE | Search MAHLER+MEASURE |
| 2 | SALEM NUMBERS | 364370 | 2% | 63% | 22 | Search SALEM+NUMBERS | Search SALEM+NUMBERS |
| 3 | EXPLICIT AUXILIARY FUNCTION | 342553 | 1% | 100% | 13 | Search EXPLICIT+AUXILIARY+FUNCTION | Search EXPLICIT+AUXILIARY+FUNCTION |
| 4 | 3X1 PROBLEM | 321214 | 1% | 76% | 16 | Search 3X1+PROBLEM | Search 3X1+PROBLEM |
| 5 | TERNARY CYCLOTOMIC POLYNOMIAL | 316203 | 1% | 100% | 12 | Search TERNARY+CYCLOTOMIC+POLYNOMIAL | Search TERNARY+CYCLOTOMIC+POLYNOMIAL |
| 6 | LEHMERS PROBLEM | 282033 | 1% | 63% | 17 | Search LEHMERS+PROBLEM | Search LEHMERS+PROBLEM |
| 7 | INTEGER TRANSFINITE DIAMETER | 239546 | 1% | 91% | 10 | Search INTEGER+TRANSFINITE+DIAMETER | Search INTEGER+TRANSFINITE+DIAMETER |
| 8 | PISOT NUMBERS | 193030 | 2% | 26% | 28 | Search PISOT+NUMBERS | Search PISOT+NUMBERS |
| 9 | COLLATZ CONJECTURE | 177860 | 1% | 75% | 9 | Search COLLATZ+CONJECTURE | Search COLLATZ+CONJECTURE |
| 10 | COLLATZ PROBLEM | 177860 | 1% | 75% | 9 | Search COLLATZ+PROBLEM | Search COLLATZ+PROBLEM |
Core articles |
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c: (1) Number of references referring to publications in the class. (2) Share of total number of active references referring to publications in the class. (3) Age of the article. New articles get higher score than old articles. (4) Citation rate, normalized to year. |
Classes with closest relation at Level 2 |