Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 28473 | 206 | 14.3 | 22% |
Hierarchy of classes |
The table includes all classes above and classes immediately below the current class. |
| Cluster id | Level | Cluster label | #P |
|---|---|---|---|
| 15 | 4 | MATHEMATICS//MATHEMATICS, APPLIED//MATH | 719832 |
| 205 | 3 | MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA | 52461 |
| 1098 | 2 | HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS | 9817 |
| 28473 | 1 | KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//SIMULTANEOUS DIOPHANTINE APPROXIMATIONS | 206 |
Terms with highest relevance score |
| rank | Term | termType | Chi square | Shr. of publ. in class containing term |
Class's shr. of term's tot. occurrences |
#P with term in class |
|---|---|---|---|---|---|---|
| 1 | KLEIN POLYHEDRON | authKW | 1334071 | 4% | 100% | 9 |
| 2 | MULTIDIMENSIONAL CONTINUED FRACTION | authKW | 790556 | 4% | 67% | 8 |
| 3 | SIMULTANEOUS DIOPHANTINE APPROXIMATIONS | authKW | 617624 | 2% | 83% | 5 |
| 4 | KHABAROVSK | address | 569320 | 6% | 30% | 13 |
| 5 | RELATIVE MINIMUM | authKW | 463216 | 2% | 63% | 5 |
| 6 | KLEIN POLYHEDRA | authKW | 296460 | 1% | 100% | 2 |
| 7 | MULTIDIMENSIONAL BEST APPROXIMATIONS | authKW | 296460 | 1% | 100% | 2 |
| 8 | VAHLENS THEOREM | authKW | 296460 | 1% | 100% | 2 |
| 9 | HERMITE PROBLEM | authKW | 197639 | 1% | 67% | 2 |
| 10 | MINIMUM OF A LATTICE | authKW | 197639 | 1% | 67% | 2 |
Web of Science journal categories |
| Rank | Term | Chi square | Shr. of publ. in class containing term |
Class's shr. of term's tot. occurrences |
#P with term in class |
|---|---|---|---|---|---|
| 1 | Mathematics | 10236 | 95% | 0% | 195 |
| 2 | Mathematics, Applied | 95 | 10% | 0% | 20 |
| 3 | Statistics & Probability | 7 | 2% | 0% | 4 |
| 4 | Physics, Mathematical | 1 | 1% | 0% | 3 |
| 5 | Computer Science, Theory & Methods | 0 | 1% | 0% | 2 |
| 6 | Mechanics | -1 | 0% | 0% | 1 |
| 7 | Physics, Multidisciplinary | -2 | 0% | 0% | 1 |
Address terms |
| Rank | Term | Chi square | Shr. of publ. in class containing term |
Class's shr. of term's tot. occurrences |
#P with term in class |
|---|---|---|---|---|---|
| 1 | KHABAROVSK | 569320 | 6% | 30% | 13 |
| 2 | FAR EASTERN BRANCK | 148230 | 0% | 100% | 1 |
| 3 | KHABAROVSK PL MATH | 148230 | 0% | 100% | 1 |
| 4 | KHABAROVSK SECT | 148228 | 1% | 50% | 2 |
| 5 | KHABAROVSK BRANCH | 84213 | 2% | 11% | 5 |
| 6 | UMR 2615 | 74114 | 0% | 50% | 1 |
| 7 | ELMER E RASMUSON LIB | 29644 | 0% | 20% | 1 |
| 8 | FAR EAST | 8031 | 1% | 2% | 3 |
| 9 | ABT MATH 5 | 7410 | 0% | 5% | 1 |
| 10 | MV KELDYSH PL MATH | 7288 | 3% | 1% | 6 |
Journals |
| Rank | Term | Chi square | Shr. of publ. in class containing term |
Class's shr. of term's tot. occurrences |
#P with term in class |
|---|---|---|---|---|---|
| 1 | MATHEMATICAL NOTES | 17138 | 12% | 0% | 24 |
| 2 | SBORNIK MATHEMATICS | 7753 | 4% | 1% | 9 |
| 3 | TOHOKU MATHEMATICAL JOURNAL | 7703 | 4% | 1% | 8 |
| 4 | RUSSIAN MATHEMATICAL SURVEYS | 7290 | 5% | 0% | 11 |
| 5 | MATHEMATISCHE ANNALEN | 7098 | 7% | 0% | 15 |
| 6 | JOURNAL OF NUMBER THEORY | 7086 | 7% | 0% | 15 |
| 7 | MONATSHEFTE FUR MATHEMATIK | 3201 | 3% | 0% | 7 |
| 8 | JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2780 | 1% | 1% | 2 |
| 9 | IZVESTIYA MATHEMATICS | 2642 | 2% | 0% | 4 |
| 10 | DOKLADY MATHEMATICS | 2365 | 3% | 0% | 7 |
Author Key Words |
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. |
| Rank | Reference | # ref. in cl. |
Shr. of ref. in cl. |
Citations |
|---|---|---|---|---|
| 1 | ILLARIONOV, AA , (2015) SOME PROPERTIES OF THREE-DIMENSIONAL KLEIN POLYHEDRA.SBORNIK MATHEMATICS. VOL. 206. ISSUE 4. P. 510 -539 | 18 | 100% | 0 |
| 2 | ILLARIONOV, AA , (2013) ON THE STATISTICAL PROPERTIES OF KLEIN POLYHEDRA IN THREE-DIMENSIONAL LATTICES.SBORNIK MATHEMATICS. VOL. 204. ISSUE 6. P. 801 -823 | 8 | 100% | 2 |
| 3 | USTINOV, AV , (2013) MINIMAL VECTOR SYSTEMS IN THREE-DIMENSIONAL LATTICES AND AN ANALOGUE OF VAHLEN'S THEOREM FOR THREE-DIMENSIONAL MINKOWSKI CONTINUED FRACTIONS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 280. ISSUE . P. 91-116 | 8 | 100% | 0 |
| 4 | MAKAROV, IA , (2014) INTERIOR KLEIN POLYHEDRA.MATHEMATICAL NOTES. VOL. 95. ISSUE 5-6. P. 795 -805 | 6 | 100% | 0 |
| 5 | KARPENKOV, ON , (2009) CONSTRUCTING MULTIDIMENSIONAL PERIODIC CONTINUED FRACTIONS IN THE SENSE OF KLEIN.MATHEMATICS OF COMPUTATION. VOL. 78. ISSUE 267. P. 1687-1711 | 7 | 88% | 3 |
| 6 | CHEVALLIER, N , (2005) BEST SIMULTANEOUS DIOPHANTINE APPROXIMATIONS AND LEVY'S THEOREM.ANNALES DE L INSTITUT FOURIER. VOL. 55. ISSUE 5. P. 1635-+ | 9 | 75% | 1 |
| 7 | PUSTYL'NIKOV, LD , (2003) GENERALIZED CONTINUED FRACTIONS AND ERGODIC THEORY.RUSSIAN MATHEMATICAL SURVEYS. VOL. 58. ISSUE 1. P. 109 -159 | 10 | 67% | 1 |
| 8 | CHEVALLIER, N , (2007) CYCLIC GROUPS AND THE THREE DISTANCE THEOREM.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 59. ISSUE 3. P. 503-552 | 9 | 64% | 0 |
| 9 | ILLARIONOV, AA , (2014) A MULTIDIMENSIONAL GENERALIZATION OF HEILBRONN'S THEOREM ON THE AVERAGE LENGTH OF A FINITE CONTINUED FRACTION.SBORNIK MATHEMATICS. VOL. 205. ISSUE 3. P. 419 -431 | 5 | 83% | 1 |
| 10 | USTINOV, AV , (2014) ON THE THREE-DIMENSIONAL VAHLEN THEOREM.MATHEMATICAL NOTES. VOL. 95. ISSUE 1-2. P. 136-138 | 4 | 100% | 0 |
Classes with closest relation at Level 1 |