Class information for:
Level 1: SLANT HELIX//GENERAL HELIX//BERTRAND CURVE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23427 346 14.4 27%


Bar chart of Publication_year

Last years might be incomplete

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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
291 2             MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 18882
23427 1                   SLANT HELIX//GENERAL HELIX//BERTRAND CURVE 346

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 SLANT HELIX authKW 1255134 5% 89% 16
2 GENERAL HELIX authKW 1168035 4% 88% 15
3 BERTRAND CURVE authKW 1159300 5% 77% 17
4 SLANT HELICES authKW 970770 3% 100% 11
5 MINKOWSKI 3 SPACE authKW 879461 5% 59% 17
6 RECTIFYING CURVE authKW 802288 3% 91% 10
7 DARBOUX VECTOR authKW 714838 3% 90% 9
8 HOLDITCH THEOREM authKW 627567 2% 89% 8
9 NON ROTATING FRAME authKW 617763 2% 100% 7
10 NULL CURVE authKW 519120 3% 59% 10

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 3213 42% 0% 145
2 Mathematics, Applied 2632 35% 0% 121
3 Physics, Mathematical 1405 18% 0% 63
4 Engineering, Mechanical 839 16% 0% 57
5 Mathematics, Interdisciplinary Applications 237 6% 0% 22
6 Physics, Multidisciplinary 96 9% 0% 32
7 Computer Science, Software Engineering 58 3% 0% 12
8 Engineering, General 52 3% 0% 12
9 Engineering, Ocean 13 1% 0% 2
10 Mechanics 7 3% 0% 9

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 SECONDARY EDUC SCI MATH TEACHING 480479 2% 78% 7
2 MATH TEACHING PROGRAM 441259 1% 100% 5
3 MATH TEACHING PROGRAMME 176504 1% 100% 2
4 SEYDISEHIR VOCAT 158851 1% 60% 3
5 BASSER COMP SCI F09 88252 0% 100% 1
6 MATH PRIMARY EDUC 88252 0% 100% 1
7 MECAN GEN LMSO 88252 0% 100% 1
8 MECH MECH ENGN KAZAN 88252 0% 100% 1
9 STATE CEASTAL OFFSHORE ENGN 88252 0% 100% 1
10 BUCA EDUC 78081 3% 9% 10

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 ADVANCES IN APPLIED CLIFFORD ALGEBRAS 129248 8% 5% 29
2 MECHANISM AND MACHINE THEORY 35233 11% 1% 37
3 TURKISH JOURNAL OF MATHEMATICS 34045 5% 2% 16
4 KUWAIT JOURNAL OF SCIENCE 14224 1% 3% 5
5 MATHEMATICAL COMMUNICATIONS 13458 2% 2% 7
6 INTERNATIONAL JOURNAL OF THE PHYSICAL SCIENCES 9490 2% 2% 7
7 BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY 5934 3% 1% 9
8 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 5485 3% 1% 9
9 PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES 4385 1% 1% 5
10 IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE 4129 1% 1% 5

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 SLANT HELIX 1255134 5% 89% 16 Search SLANT+HELIX Search SLANT+HELIX
2 GENERAL HELIX 1168035 4% 88% 15 Search GENERAL+HELIX Search GENERAL+HELIX
3 BERTRAND CURVE 1159300 5% 77% 17 Search BERTRAND+CURVE Search BERTRAND+CURVE
4 SLANT HELICES 970770 3% 100% 11 Search SLANT+HELICES Search SLANT+HELICES
5 MINKOWSKI 3 SPACE 879461 5% 59% 17 Search MINKOWSKI+3+SPACE Search MINKOWSKI+3+SPACE
6 RECTIFYING CURVE 802288 3% 91% 10 Search RECTIFYING+CURVE Search RECTIFYING+CURVE
7 DARBOUX VECTOR 714838 3% 90% 9 Search DARBOUX+VECTOR Search DARBOUX+VECTOR
8 HOLDITCH THEOREM 627567 2% 89% 8 Search HOLDITCH+THEOREM Search HOLDITCH+THEOREM
9 NON ROTATING FRAME 617763 2% 100% 7 Search NON+ROTATING+FRAME Search NON+ROTATING+FRAME
10 NULL CURVE 519120 3% 59% 10 Search NULL+CURVE Search NULL+CURVE

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 KHADJIEV, D , GOKSAL, Y , (2016) APPLICATIONS OF HYPERBOLIC NUMBERS TO THE INVARIANT THEORY IN TWO-DIMENSIONAL PSEUDO-EUCLIDEAN SPACE.ADVANCES IN APPLIED CLIFFORD ALGEBRAS. VOL. 26. ISSUE 2. P. 645 -668 11 92% 0
2 OKUYUCU, OZ , GOK, I , YAYLI, Y , EKMEKCI, N , (2013) SLANT HELICES IN THREE DIMENSIONAL LIE GROUPS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 221. ISSUE . P. 672 -683 11 85% 2
3 GOKCELIK, F , GOK, I , (2014) NULL W-SLANT HELICES IN E-1(3).JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 420. ISSUE 1. P. 222 -241 9 100% 1
4 AL-GHEFARI, RA , ABDEL-BAKY, RA , (2015) KINEMATIC GEOMETRY OF A LINE TRAJECTORY IN SPATIAL MOTION.JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY. VOL. 29. ISSUE 9. P. 3597 -3608 9 90% 0
5 GOK, I , OKUYUCU, OZ , EKMEKCI, N , YAYLI, Y , (2014) ON MANNHEIM PARTNER CURVES IN THREE DIMENSIONAL LIE GROUPS.MISKOLC MATHEMATICAL NOTES. VOL. 15. ISSUE 2. P. 467 -479 8 100% 1
6 UCUM, A , CAMCI, C , ILARSLAN, K , (2016) GENERAL HELICES WITH TIMELIKE SLOPE AXIS IN MINKOWSKI 3-SPACE.ADVANCES IN APPLIED CLIFFORD ALGEBRAS. VOL. 26. ISSUE 2. P. 793 -807 10 77% 0
7 ALI, AT , LOPEZ, R , TURGUT, M , (2012) K-TYPE PARTIALLY NULL AND PSEUDO NULL SLANT HELICES IN MINKOWSKI 4-SPACE.MATHEMATICAL COMMUNICATIONS. VOL. 17. ISSUE 1. P. 93 -103 8 100% 5
8 PEKSEN, O , KHADJIEV, D , OREN, I , (2012) INVARIANT PARAMETRIZATIONS AND COMPLETE SYSTEMS OF GLOBAL INVARIANTS OF CURVES IN THE PSEUDO-EUCLIDEAN GEOMETRY.TURKISH JOURNAL OF MATHEMATICS. VOL. 36. ISSUE 1. P. 147-160 8 100% 1
9 PEKSEN, O , KHADJIEV, D , (2011) ON INVARIANTS OF NULL CURVES IN THE PSEUDO-EUCLIDEAN GEOMETRY.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 29. ISSUE . P. S183-S187 8 100% 1
10 QIAN, JH , KIM, YH , (2016) NULL HELIX AND K-TYPE NULL SLANT HELICES IN E-1(4).REVISTA DE LA UNION MATEMATICA ARGENTINA. VOL. 57. ISSUE 1. P. 71 -83 7 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 17478 BIHARMONIC MAPS//BIHARMONIC SUBMANIFOLDS//POINTWISE 1 TYPE GAUSS MAP
2 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES
3 7469 LEGENDRIAN SINGULARITIES//PRINCIPAL CURVATURE LINES//GRP MATH SCI
4 9792 MECHANISM AND MACHINE THEORY//ARMAMENTS ENGN TECHNOL//MOTION GENERATION
5 26953 LIE QUADRATIC//RIEMANNIAN CUBIC//COMP SCI GRP COMP SCI
6 11359 OCTONIONS//SLICE REGULAR FUNCTIONS//SPLIT QUATERNIONS
7 15051 MOVING FRAME//DIFFERENTIAL INVARIANTS//PENTAGRAM MAP
8 34053 SILICON GR H COMP SYST//INTEGRAL GEOMETRY PROBLEM//TRANSPORT LIKE EQUATION
9 25454 SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM
10 35434 DIMERIC LINK CHAIN//ABT ORALANATOMIE ZENTRUM ZAHN MUND KIEFERHEILKU//ADJACENT VERTEBRA

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