Class information for:
Level 1: NORMAL NUMBERS//CANTOR SERIES//POLYNOMIAL TIME RANDOMNESS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
33651 122 12.5 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
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1098 2             HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS 9817
33651 1                   NORMAL NUMBERS//CANTOR SERIES//POLYNOMIAL TIME RANDOMNESS 122

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 NORMAL NUMBERS authKW 3288957 24% 45% 29
2 CANTOR SERIES authKW 2027361 7% 90% 9
3 POLYNOMIAL TIME RANDOMNESS authKW 500583 2% 100% 2
4 TECHNOL EDUC W MACEDONIA address 500583 2% 100% 2
5 ALGORITHM FOR NORMAL NUMBERS authKW 250292 1% 100% 1
6 BESICOVITCH EGGLESTON NORMAL SETS authKW 250292 1% 100% 1
7 CASSELS SCHMIDT THEOREM authKW 250292 1% 100% 1
8 CHAMPERNOWNES NUMBER authKW 250292 1% 100% 1
9 COMPLETE F SIGMA DELTA authKW 250292 1% 100% 1
10 COMPUTABLE ABSOLUTELY NORMAL NUMBERS authKW 250292 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 4896 85% 0% 104
2 Mathematics, Applied 205 17% 0% 21
3 Computer Science, Theory & Methods 57 7% 0% 8
4 Statistics & Probability 56 6% 0% 7
5 Computer Science, Hardware & Architecture 1 1% 0% 1
6 Operations Research & Management Science 0 1% 0% 1
7 Mathematics, Interdisciplinary Applications 0 1% 0% 1
8 Computer Science, Software Engineering 0 1% 0% 1
9 Physics, Mathematical 0 1% 0% 1
10 Physics, Multidisciplinary -1 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 TECHNOL EDUC W MACEDONIA 500583 2% 100% 2
2 DEP MATH STAT 111238 2% 22% 2
3 BOYD STUDIES 66737 3% 7% 4
4 PERCEPT ROBOT 35754 1% 14% 1
5 COMP ALGEBRA 28508 2% 4% 3
6 COMP ASSISTED MATH ITS PLICAT CARMA 10427 1% 4% 1
7 COMPUTAC 9177 3% 1% 4
8 GEN SCI 9114 2% 1% 3
9 ELIE CARTAN LORRAINE 5621 2% 1% 2
10 ANAL COMPUTAT NUMBER THEORY 5004 1% 2% 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 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 7380 5% 0% 6
2 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS 6483 3% 1% 4
3 JOURNAL OF NUMBER THEORY 5320 8% 0% 10
4 ACTA ARITHMETICA 3807 6% 0% 7
5 NEW YORK JOURNAL OF MATHEMATICS 2769 2% 1% 2
6 MONATSHEFTE FUR MATHEMATIK 2760 4% 0% 5
7 BULLETIN DES SCIENCES MATHEMATIQUES 1851 2% 0% 3
8 COLLOQUIUM MATHEMATICUM 1495 2% 0% 2
9 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 1173 1% 0% 1
10 MATHEMATIKA 1152 2% 0% 2

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 NORMAL NUMBERS 3288957 24% 45% 29 Search NORMAL+NUMBERS Search NORMAL+NUMBERS
2 CANTOR SERIES 2027361 7% 90% 9 Search CANTOR+SERIES Search CANTOR+SERIES
3 POLYNOMIAL TIME RANDOMNESS 500583 2% 100% 2 Search POLYNOMIAL+TIME+RANDOMNESS Search POLYNOMIAL+TIME+RANDOMNESS
4 ALGORITHM FOR NORMAL NUMBERS 250292 1% 100% 1 Search ALGORITHM+FOR+NORMAL+NUMBERS Search ALGORITHM+FOR+NORMAL+NUMBERS
5 BESICOVITCH EGGLESTON NORMAL SETS 250292 1% 100% 1 Search BESICOVITCH+EGGLESTON+NORMAL+SETS Search BESICOVITCH+EGGLESTON+NORMAL+SETS
6 CASSELS SCHMIDT THEOREM 250292 1% 100% 1 Search CASSELS+SCHMIDT+THEOREM Search CASSELS+SCHMIDT+THEOREM
7 CHAMPERNOWNES NUMBER 250292 1% 100% 1 Search CHAMPERNOWNES+NUMBER Search CHAMPERNOWNES+NUMBER
8 COMPLETE F SIGMA DELTA 250292 1% 100% 1 Search COMPLETE+F+SIGMA+DELTA Search COMPLETE+F+SIGMA+DELTA
9 COMPUTABLE ABSOLUTELY NORMAL NUMBERS 250292 1% 100% 1 Search COMPUTABLE+ABSOLUTELY+NORMAL+NUMBERS Search COMPUTABLE+ABSOLUTELY+NORMAL+NUMBERS
10 DIGITWISE PERTURBATIONS OF A NUMBER 250292 1% 100% 1 Search DIGITWISE+PERTURBATIONS+OF+A+NUMBER Search DIGITWISE+PERTURBATIONS+OF+A+NUMBER

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 ELEZOVIC, N , MATIC, M , PEARCE, CEM , PECARIC, J , (2000) ON TWO LEMMAS OF BROWN AND SHEPP HAVING APPLICATION TO SUM SETS AND FRACTALS, III.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS. VOL. 41. ISSUE . P. 329-337 14 100% 0
2 MADRITSCH, MG , MANCE, B , (2016) CONSTRUCTION OF MU-NORMAL SEQUENCES.MONATSHEFTE FUR MATHEMATIK. VOL. 179. ISSUE 2. P. 259 -280 10 83% 0
3 BROWN, G , PEARCE, CEM , PECARIC, J , YIN, QH , (1999) MEASURES OF ALGEBRAIC SUMS OF SETS.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 2. ISSUE 1. P. 25 -45 14 88% 7
4 AIREY, D , MANCE, B , VANDEHEY, J , (2016) NORMAL NUMBER CONSTRUCTIONS FOR CANTOR SERIES WITH SLOWLY GROWING BASES.CZECHOSLOVAK MATHEMATICAL JOURNAL. VOL. 66. ISSUE 2. P. 465 -480 6 100% 0
5 VANDEHEY, J , (2013) THE NORMALITY OF DIGITS IN ALMOST CONSTANT ADDITIVE FUNCTIONS.MONATSHEFTE FUR MATHEMATIK. VOL. 171. ISSUE 3-4. P. 481-497 7 78% 4
6 MORAN, W , POLLINGTON, AD , (1997) THE DISCRIMINATION THEOREM FOR NORMALITY TO NON-INTEGER BASES.ISRAEL JOURNAL OF MATHEMATICS. VOL. 100. ISSUE . P. 339-347 7 100% 0
7 BECHER, V , BUGEAUD, Y , SLAMAN, TA , (2016) ON SIMPLY NORMAL NUMBERS TO DIFFERENT BASES.MATHEMATISCHE ANNALEN. VOL. 364. ISSUE 1-2. P. 125 -150 4 100% 0
8 POLLACK, P , VANDEHEY, J , (2015) BESICOVITCH, BISECTION, AND THE NORMALITY OF 0.(1) (4) (9) (16) (25) ....AMERICAN MATHEMATICAL MONTHLY. VOL. 122. ISSUE 8. P. 757 -765 4 100% 1
9 AIREY, D , MANCE, B , (2015) UNEXPECTED DISTRIBUTION PHENOMENON RESULTING FROM CANTOR SERIES EXPANSIONS.ADVANCES IN MATHEMATICS. VOL. 279. ISSUE . P. 372 -404 7 54% 1
10 BROWN, G , (2010) SYMMETRIC CANTOR MEASURE, COIN-TOSSING AND SUM SETS.TOHOKU MATHEMATICAL JOURNAL. VOL. 62. ISSUE 4. P. 475-483 4 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 18796 SUM OF DIGITS FUNCTION//CANONICAL NUMBER SYSTEM//SUM OF DIGITS
2 19168 SHIFT OF FINITE TYPE//ZD//SOFIC
3 2811 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
4 8444 DIOPHANTINE APPROXIMATION//METRIC DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES
5 14479 MAHLERS METHOD//IRRATIONALITY MEASURE//ALGEBRAIC INDEPENDENCE
6 24058 ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION
7 8238 ALGORITHMIC RANDOMNESS//TURING DEGREES//KOLMOGOROV COMPLEXITY
8 12467 CONE MULTIPLIERS//FOURIER RESTRICTION//ORBITAL MEASURE
9 13453 THETA FUNCTIONS//MODULAR EQUATIONS//CONVOLUTION SUMS
10 19134 HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP

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