Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 29467 | 186 | 13.2 | 34% |
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 |
| 281 | 3 | MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY | 42804 |
| 3335 | 2 | GEOMETRIC CONSTRAINT SOLVING//EUCLIDEAN DISTANCE MATRICES//INFINITESIMAL RIGIDITY | 1779 |
| 29467 | 1 | CYCLIC POLYGON//EQUIDISSECTION//MECHANICAL LINKAGE | 186 |
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 | CYCLIC POLYGON | authKW | 844297 | 3% | 86% | 6 |
| 2 | EQUIDISSECTION | authKW | 492507 | 2% | 100% | 3 |
| 3 | MECHANICAL LINKAGE | authKW | 492507 | 2% | 100% | 3 |
| 4 | POLYGON SPACES | authKW | 369379 | 2% | 75% | 3 |
| 5 | ARACHNOID MECHANISM | authKW | 328338 | 1% | 100% | 2 |
| 6 | RATIONAL TRIGONOMETRY | authKW | 328338 | 1% | 100% | 2 |
| 7 | CONFIGURATION SPACE | authKW | 195521 | 10% | 7% | 18 |
| 8 | 4 BAR MECHANISMS | authKW | 164169 | 1% | 100% | 1 |
| 9 | APOLLONIUS THEOREM | authKW | 164169 | 1% | 100% | 1 |
| 10 | AREA DISCREPANCY | authKW | 164169 | 1% | 100% | 1 |
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 | 5788 | 75% | 0% | 140 |
| 2 | Mathematics, Applied | 533 | 22% | 0% | 41 |
| 3 | Robotics | 302 | 4% | 0% | 7 |
| 4 | Computer Science, Theory & Methods | 229 | 10% | 0% | 19 |
| 5 | Physics, Mathematical | 41 | 5% | 0% | 9 |
| 6 | Engineering, Mechanical | 14 | 4% | 0% | 7 |
| 7 | Logic | 9 | 1% | 0% | 1 |
| 8 | Automation & Control Systems | 6 | 2% | 0% | 3 |
| 9 | Multidisciplinary Sciences | 0 | 1% | 0% | 1 |
| 10 | Mathematics, Interdisciplinary Applications | 0 | 1% | 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 | FUNDAMENTAL INTERDISCIPLINARY MATH STUDIES | 164169 | 1% | 100% | 1 |
| 2 | PROBLEMS MECH RAS | 41041 | 1% | 25% | 1 |
| 3 | DEPERTMENT MATH | 32832 | 1% | 20% | 1 |
| 4 | ST PETERSBURG INFORMAT SCI AUTOMAT | 23451 | 1% | 14% | 1 |
| 5 | INDEPENDENT UNIV MOSCOW | 13679 | 1% | 8% | 1 |
| 6 | BEIJING MCAACI | 5659 | 1% | 3% | 1 |
| 7 | MATH PL MATH STAT | 4208 | 1% | 3% | 1 |
| 8 | INFORMAT AUTOMAT | 1980 | 1% | 1% | 2 |
| 9 | RISC | 1976 | 1% | 1% | 1 |
| 10 | UMPA | 1956 | 1% | 1% | 2 |
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 | DISCRETE & COMPUTATIONAL GEOMETRY | 15607 | 8% | 1% | 14 |
| 2 | AMERICAN MATHEMATICAL MONTHLY | 7343 | 6% | 0% | 11 |
| 3 | GEOMETRIAE DEDICATA | 6635 | 6% | 0% | 11 |
| 4 | DYNAMICS AND STABILITY OF SYSTEMS | 5379 | 1% | 2% | 2 |
| 5 | HIROSHIMA MATHEMATICAL JOURNAL | 3624 | 1% | 1% | 2 |
| 6 | JOURNAL OF TOPOLOGY AND ANALYSIS | 3546 | 1% | 1% | 2 |
| 7 | RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 3347 | 2% | 1% | 4 |
| 8 | MATHEMATICAL INTELLIGENCER | 2448 | 2% | 0% | 3 |
| 9 | MECHANISM AND MACHINE THEORY | 2337 | 4% | 0% | 7 |
| 10 | ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2218 | 2% | 0% | 4 |
Author Key Words |
| Rank | Term | Chi square | Shr. of publ. in class containing term |
Class's shr. of term's tot. occurrences |
#P with term in class |
LCSH search | Wikipedia search |
|---|---|---|---|---|---|---|---|
| 1 | CYCLIC POLYGON | 844297 | 3% | 86% | 6 | Search CYCLIC+POLYGON | Search CYCLIC+POLYGON |
| 2 | EQUIDISSECTION | 492507 | 2% | 100% | 3 | Search EQUIDISSECTION | Search EQUIDISSECTION |
| 3 | MECHANICAL LINKAGE | 492507 | 2% | 100% | 3 | Search MECHANICAL+LINKAGE | Search MECHANICAL+LINKAGE |
| 4 | POLYGON SPACES | 369379 | 2% | 75% | 3 | Search POLYGON+SPACES | Search POLYGON+SPACES |
| 5 | ARACHNOID MECHANISM | 328338 | 1% | 100% | 2 | Search ARACHNOID+MECHANISM | Search ARACHNOID+MECHANISM |
| 6 | RATIONAL TRIGONOMETRY | 328338 | 1% | 100% | 2 | Search RATIONAL+TRIGONOMETRY | Search RATIONAL+TRIGONOMETRY |
| 7 | CONFIGURATION SPACE | 195521 | 10% | 7% | 18 | Search CONFIGURATION+SPACE | Search CONFIGURATION+SPACE |
| 8 | 4 BAR MECHANISMS | 164169 | 1% | 100% | 1 | Search 4+BAR+MECHANISMS | Search 4+BAR+MECHANISMS |
| 9 | APOLLONIUS THEOREM | 164169 | 1% | 100% | 1 | Search APOLLONIUS+THEOREM | Search APOLLONIUS+THEOREM |
| 10 | AREA DISCREPANCY | 164169 | 1% | 100% | 1 | Search AREA+DISCREPANCY | Search AREA+DISCREPANCY |
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 | FARBER, M , FROMM, V , (2013) THE TOPOLOGY OF SPACES OF POLYGONS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 365. ISSUE 6. P. 3097-3114 | 9 | 90% | 3 |
| 2 | SCHULZE, B , (2011) ON THE AREA DISCREPANCY OF TRIANGULATIONS OF SQUARES AND TRAPEZOIDS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 18. ISSUE 1. P. - | 7 | 100% | 0 |
| 3 | ABRAMS, A , POMMERSHEIM, J , (2014) SPACES OF POLYGONAL TRIANGULATIONS AND MONSKY POLYNOMIALS.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 51. ISSUE 1. P. 132-160 | 7 | 88% | 0 |
| 4 | BLANC, D , SHVALB, N , (2012) GENERIC SINGULAR CONFIGURATIONS OF LINKAGES.TOPOLOGY AND ITS APPLICATIONS. VOL. 159. ISSUE 3. P. 877 -890 | 10 | 63% | 1 |
| 5 | O'HARA, J , (2007) THE CONFIGURATION SPACE OF PLANAR SPIDERY LINKAGES.TOPOLOGY AND ITS APPLICATIONS. VOL. 154. ISSUE 2. P. 502-526 | 7 | 100% | 6 |
| 6 | SU, ZJ , YIN, C , MA, XB , LI, Y , (2013) TILINGS OF PARALLELOGRAMS WITH SIMILAR RIGHT TRIANGLES.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 50. ISSUE 2. P. 469-473 | 6 | 100% | 1 |
| 7 | SCHUTZ, D , (2013) HOMOLOGY OF MODULI SPACES OF LINKAGES IN HIGH-DIMENSIONAL EUCLIDEAN SPACE.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 13. ISSUE 2. P. 1183-1224 | 8 | 73% | 1 |
| 8 | FARBER, M , HAUSMANN, JC , SCHUTZ, D , (2011) THE WALKER CONJECTURE FOR CHAINS IN R-D.MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 151. ISSUE . P. 283-292 | 6 | 100% | 1 |
| 9 | KAMIYAMA, Y , TSUKUDA, S , (2014) THE EULER CHARACTERISTIC OF THE CONFIGURATION SPACE OF PLANAR SPIDERY LINKAGES.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 14. ISSUE 6. P. 3659 -3688 | 7 | 78% | 0 |
| 10 | WANG, DGL , (2016) TILINGS OF PARALLELOGRAMS BY SIMILAR ISOSCELES TRIANGLES.MATHEMATICAL INTELLIGENCER. VOL. 38. ISSUE 3. P. 24 -29 | 5 | 100% | 0 |
Classes with closest relation at Level 1 |