Class information for:
Level 1: NOWHERE DIFFERENTIABLE FUNCTION//SINGULAR FUNCTIONS//TAKAGIS FUNCTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28866 198 15.5 31%


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
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1098 2             HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS 9817
28866 1                   NOWHERE DIFFERENTIABLE FUNCTION//SINGULAR FUNCTIONS//TAKAGIS FUNCTION 198

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 NOWHERE DIFFERENTIABLE FUNCTION authKW 1186298 5% 77% 10
2 SINGULAR FUNCTIONS authKW 942751 9% 34% 18
3 TAKAGIS FUNCTION authKW 771097 3% 100% 5
4 THE MINKOWSKI QUESTION MARK FUNCTION authKW 616877 2% 100% 4
5 TAKAGI FUNCTION authKW 548327 4% 44% 8
6 ENGELS SERIES authKW 462658 2% 100% 3
7 MICROSCOPIC SET authKW 462658 2% 100% 3
8 PIERCE EXPANSIONS authKW 462658 2% 100% 3
9 THE FAREY TREE authKW 462658 2% 100% 3
10 MINKOWSKI QUESTION MARK FUNCTION authKW 411249 2% 67% 4

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 5824 73% 0% 145
2 Mathematics, Applied 421 19% 0% 38
3 Education, Scientific Disciplines 93 4% 0% 7
4 Computer Science, Software Engineering 47 4% 0% 8
5 Statistics & Probability 21 3% 0% 6
6 Computer Science, Information Systems 6 2% 0% 4
7 Computer Science, Artificial Intelligence 6 2% 0% 4
8 Physics, Multidisciplinary 5 4% 0% 8
9 Computer Science, Theory & Methods 5 2% 0% 4
10 Meteorology & Atmospheric Sciences 4 2% 0% 4

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 SYRTEOBSERV PARISPSL UNIVCNRS 154219 1% 100% 1
2 CIENCIES EDUC 142346 3% 15% 6
3 GRP INVEST ANAL MATEMAT 89654 3% 12% 5
4 ABT INFORMAT ENGN 51405 1% 33% 1
5 THOMAS STIELTJES MATH 47449 1% 15% 2
6 NEUROSCI FLANDERS 38553 1% 25% 1
7 HBEREICH MATH INFORMAT 3 27754 2% 6% 3
8 IMCCEOBSERV PARISPSL UNIVCNRS 25702 1% 17% 1
9 COMPUTAT VIS CONTROL 21268 1% 7% 2
10 CAMILLE JORDAN MATH 19276 1% 13% 1

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 FIBONACCI QUARTERLY 48713 10% 2% 19
2 AMERICAN MATHEMATICAL MONTHLY 14607 8% 1% 16
3 SKY AND TELESCOPE 7416 2% 2% 3
4 OPEN MATHEMATICS 7261 2% 2% 3
5 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 3903 5% 0% 9
6 ACTA MATHEMATICA HUNGARICA 3331 4% 0% 8
7 MONATSHEFTE FUR MATHEMATIK 2446 3% 0% 6
8 MATHEMATICAL INTELLIGENCER 2300 2% 0% 3
9 WIRTSCHAFTSINFORMATIK 1983 2% 0% 3
10 JOURNAL OF NUMBER THEORY 1598 4% 0% 7

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 NOWHERE DIFFERENTIABLE FUNCTION 1186298 5% 77% 10 Search NOWHERE+DIFFERENTIABLE+FUNCTION Search NOWHERE+DIFFERENTIABLE+FUNCTION
2 SINGULAR FUNCTIONS 942751 9% 34% 18 Search SINGULAR+FUNCTIONS Search SINGULAR+FUNCTIONS
3 TAKAGIS FUNCTION 771097 3% 100% 5 Search TAKAGIS+FUNCTION Search TAKAGIS+FUNCTION
4 THE MINKOWSKI QUESTION MARK FUNCTION 616877 2% 100% 4 Search THE+MINKOWSKI+QUESTION+MARK+FUNCTION Search THE+MINKOWSKI+QUESTION+MARK+FUNCTION
5 TAKAGI FUNCTION 548327 4% 44% 8 Search TAKAGI+FUNCTION Search TAKAGI+FUNCTION
6 ENGELS SERIES 462658 2% 100% 3 Search ENGELS+SERIES Search ENGELS+SERIES
7 MICROSCOPIC SET 462658 2% 100% 3 Search MICROSCOPIC+SET Search MICROSCOPIC+SET
8 PIERCE EXPANSIONS 462658 2% 100% 3 Search PIERCE+EXPANSIONS Search PIERCE+EXPANSIONS
9 THE FAREY TREE 462658 2% 100% 3 Search THE+FAREY+TREE Search THE+FAREY+TREE
10 MINKOWSKI QUESTION MARK FUNCTION 411249 2% 67% 4 Search MINKOWSKI+QUESTION+MARK+FUNCTION Search MINKOWSKI+QUESTION+MARK+FUNCTION

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 ALLAART, PC , (2013) LEVEL SETS OF SIGNED TAKAGI FUNCTIONS.ACTA MATHEMATICA HUNGARICA. VOL. 141. ISSUE 4. P. 339-352 11 100% 2
2 SANCHEZ, JF , VIADER, P , PARADIS, J , CARRILLO, MD , (2014) A SINGULAR FUNCTION WITH A NON-ZERO FINITE DERIVATIVE ON A DENSE SET.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 95. ISSUE . P. 703 -713 11 92% 0
3 ALLAART, PC , (2014) HAUSDORFF DIMENSION OF LEVEL SETS OF GENERALIZED TAKAGI FUNCTIONS.MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 157. ISSUE 2. P. 253 -278 12 80% 0
4 PARADIS, J , VIADER, P , BIBILONI, L , (2011) A NEW SINGULAR FUNCTION.AMERICAN MATHEMATICAL MONTHLY. VOL. 118. ISSUE 4. P. 344-354 10 91% 3
5 KWON, DY , (2013) MOMENTS OF DISCRETE MEASURES WITH DENSE JUMPS INDUCED BY BETA-EXPANSIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 399. ISSUE 1. P. 1-11 11 69% 4
6 OKAMURA, K , (2016) A NEW GENERALIZATION OF THE TAKAGI FUNCTION.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 434. ISSUE 1. P. 652 -679 8 89% 0
7 ALKAUSKAS, G , (2010) THE MINKOWSKI QUESTION MARK FUNCTION: EXPLICIT SERIES FOR THE DYADIC PERIOD FUNCTION AND MOMENTS.MATHEMATICS OF COMPUTATION. VOL. 79. ISSUE 269. P. 383-418 12 63% 3
8 ALKAUSKAS, G , (2011) SEMI-REGULAR CONTINUED FRACTIONS AND AN EXACT FORMULA FOR THE MOMENTS OF THE MINKOWSKI QUESTION MARK FUNCTION.RAMANUJAN JOURNAL. VOL. 25. ISSUE 3. P. 359-367 8 89% 2
9 DE AMO, E , CARRILLO, MD , FERNANDEZ-SANCHEZ, J , (2012) SINGULAR FUNCTIONS WITH APPLICATIONS TO FRACTAL DIMENSIONS AND GENERALIZED TAKAGI FUNCTIONS.ACTA APPLICANDAE MATHEMATICAE. VOL. 119. ISSUE 1. P. 129-148 10 67% 4
10 NEIDINGER, RD , (2016) A FAIR-BOLD GAMBLING FUNCTION IS SIMPLY SINGULAR.AMERICAN MATHEMATICAL MONTHLY. VOL. 123. ISSUE 1. P. 3 -18 7 88% 0

Classes with closest relation at Level 1


Rank Class id link
1 2811 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
2 19134 HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP
3 37333 MULTIPLICATIVE CALCULUS//NON NEWTONIAN CALCULUS//ALGEBRAIC STRUCTURES WITH RESPECT TO NON NEWTONIAN CALCULUS
4 28473 KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//SIMULTANEOUS DIOPHANTINE APPROXIMATIONS
5 35787 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION
6 16946 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION
7 14479 MAHLERS METHOD//IRRATIONALITY MEASURE//ALGEBRAIC INDEPENDENCE
8 8444 DIOPHANTINE APPROXIMATION//METRIC DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES
9 33651 NORMAL NUMBERS//CANTOR SERIES//POLYNOMIAL TIME RANDOMNESS
10 15331 FRACTAL INTERPOLATION FUNCTIONS//FRACTAL IMAGE COMPRESSION//FRACTAL IMAGE CODING

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