Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials by Taekyun Kim, Seog-Hoon Rim, Byungje Lee

“…By the properties of p-adic invariant integral on ℤp, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties of p-adic invariant integral on ℤp, we give some interesting relationship between the power sums and the generalized Bernoulli polynomials.…”
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Periodic orbits of maps with an infinite number of partition points by Manny Scarowsky, Abraham Boyarsky

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Generic residue numbering of the GAIN domain of adhesion GPCRs by Florian Seufert, Guillermo Pérez-Hernández, Gáspár Pándy-Szekeres, Ramon Guixà-González, Tobias Langenhan, David E. Gloriam, Peter W. Hildebrand

“…Here, we present a scheme for generic residue numbering of GAIN domains, based on structural alignments of over 14,000 modeled GAIN domain structures. …”
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Arabic and Roman numbers as part of Chinese semiotic system by L.L. Bankova

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A lower bound on the number of finite simple groups by Michael E. Mays

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Lower Bound for the Class Number of ℚn2+4 by Hasan Sankari, Ahmad Issa

“…In this paper, we give an explicit lower bound for the class number of real quadratic field ℚd, where d=n2+4 is a square-free integer, using  ωn which is the number of odd prime divisors of n.…”
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Administrative offenses cases number assessment in the Russian regions by D. I. Belyaeva, L. A. Davletshina

“…In order to obtain a stable classification, all regions of Russia were ranked according to the arithmetic average number of administrative offenses cases for the period indicated. …”
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Treatment of Cytomegalovirus Retinitis: A Growing Number of Options by Stephen D Shafran, John M Conly

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Applications of the Bell Numbers on Univalent Functions Associated with Subordination by Sh. Najafzadeh, Mugur Acu

“…The motivation of the present paper is to define a new subclass of univalent functions associated with the q-analogue of the exponential function and the well-known Bell numbers based on subordination structure. Furthermore, we estimate the coefficient bound and extreme points. …”
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The performance of discrete models of low reynolds number swimmers by Qixuan Wang, Hans G. Othmer

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Invariants of number fields related to central embedding problems by H. Opolka

“…Every central embedding problem over a number field becomes solvable after enlarging its kernel in a certain way. …”
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Some Identities of Fully Degenerate Dowling Polynomials and Numbers by Lingling Luo, Yuankui Ma, Wencong Liu, Taekyun Kim

“…Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. …”
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Some lacunarity properties of partial quotients of real numbers by Zhao, Xuan, Zhang, Zhenliang

“…We consider lacunarity properties of sequence of partial quotients for real numbers in their continued fraction expansions. Hausdorff dimension of the sets of points with different lacunarity conditions on their partial quotients are calculated.…”
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A rationality condition for the existence of odd perfect numbers by Simon Davis

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Congruences modulo $4$ for the number of $3$-regular partitions by Ballantine, Cristina, Merca, Mircea

“…The last decade has seen an abundance of congruences for $b_\ell (n)$, the number of $\ell $-regular partitions of $n$. Notably absent are congruences modulo $4$ for $b_3(n)$. …”
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(Mis)estimation of the modal number of desired sexual partners. by Arthur G Shapiro, Rubie M Peters, Anthony H Ahrens

“…For both men and women and in both cohorts, the modal number of reported partners equaled 1.0, but men's averages were higher than women's averages due to a subgroup of men who reported desiring large numbers of partners (that is, the distributions had the same shape, but men's distributions had a longer tail). …”
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About Proper Numbers of Electric Circuit State Matrix by V. S. Safarian

“…It is shown that proper numbers of asymmetric matrix for balancing states of a monotonous circuit are real ones.…”
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Implicit Learning of Parity and Magnitude Associations with Number Color by Talia L. Retter, Christine Schiltz

“…In category-level experiments for each parity and magnitude, high-probability pairings of four numbers with one color were categorically consistent (e.g., the Arabic numerals 2,4,6, and 8 appeared in blue with a high probability, p = .9). …”
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Editorial - Special Edition: Volume 12, Number 2 by Paul Prinsloo

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Boolean-chaos-based physical random number generator by Qiqi ZHANG, Jianguo ZHANG, Pu LI, Yanqiang GUO, Yuncai WANG

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