Source-independent quantum random number generators with integrated silicon photonics by Yongqiang Du, Xin Hua, Zhengeng Zhao, Xiaoran Sun, Zhenrong Zhang, Xi Xiao, Kejin Wei

“…Abstract Random numbers play a crucial role in numerous scientific applications. …”
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Last digit tendency: Lucky numbers and psychological rounding in mobile transactions by Hai Wang, Tian Lu, Yingjie Zhang, Yue Wu, Yiheng Sun, Jingran Dong, Wen Huang

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On strong laws of large numbers for arrays of rowwise independent random elements by Abolghassem Bozorgnia, Ronald Frank Patterson, Robert Lee Taylor

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Fast algorithm to search for the minimum number of active S-boxes of block cipher by Zhengbin LIU, Yongqiang LI, Chaoxi ZHU

“…To solve the problem of fast calculation of the minimum number of active S-boxes in cryptographic design, the difference and mask propagation of the diffusion layer were investigated, and a method was proposed to compute the difference (resp.mask) pattern distribution table of MDS (maximum distance separable) matrices and binary matrices.A lower bound on the computation complexity of the proposed method was also given.Based on the difference (resp.mask) pattern distribution table of diffusion matrix, a fast algorithm to search for the minimum number of active S-boxes of block cipher was proposed.The proposed algorithm is applied to some SPN (substitution permutation network) block ciphers, and finds the minimum number of active S-boxes for the full round of LED, SKINNY, CRAFT and FIDES.…”
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Method for generating pseudo random numbers based on cellular neural network by Li-hua DONG, Guo-li YAO

“…To overcome the degradation characteristics of chaos system due to finite precision effect and improve the sta-tistical performance of the random number,a new method based on 6th-order cellular neural network (CNN) was given to construct a 64-bit pseudo random number generation (PRNG).In the method,the input and output data in every iteration of 6th-order CNN were controlled to improved the performance of the random number affected by chaos degradation.Then the data were XORed with a variable parameter and the random sequences generated by a Logistic map,by which the repeat of generated sequences was avoided,and the period of output sequences and the key space were expended.Be-sides,the new method was easy to be realized in the software and could generate 64 bit random numbers every time,thus has a high generating efficiency.Test results show that the generated random numbers can pass the statistical test suite NIST SP800-22 completely and thus has good randomness.The method can be applied in secure communication and other fields of information security.…”
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How energy determines spatial localisation and copy number of molecules in neurons by Cornelius Bergmann, Kanaan Mousaei, Silvio O. Rizzoli, Tatjana Tchumatchenko

“…We found that energy minimisation principles explain experimentally-reported exponential rank distributions of mRNA and protein copy numbers. Our results further reveal robust energy benefits when certain mRNA classes are moved into dendrites, for example mRNAs of proteins with long amino acid chains or mRNAs with large non-coding regions and long half-lives proving surprising insights at the level of molecular populations.…”
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2020–2021 Florida Citrus Production Guide: Useful Telephone Numbers by Frederick M. Fishel

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Increased DNA Copy Number Variation Mosaicism in Elderly Human Brain by Darine Villela, Claudia K. Suemoto, Renata Leite, Carlos Augusto Pasqualucci, Lea T. Grinberg, Peter Pearson, Carla Rosenberg

“…In the present study, we demonstrate a highly significant increase in the number of CNVs in nondiseased elderly brains compared to the blood. …”
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Hydrogen Evolution Reaction in Borophene: Puckering Mechanism and the Role of Coordination Number by Yi Sheng Ng, Jin-Cheng Zheng

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2020–2021 Florida Citrus Production Guide: Useful Telephone Numbers by Frederick M. Fishel

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Homogenization of Parabolic Equations with an Arbitrary Number of Scales in Both Space and Time by Liselott Flodén, Anders Holmbom, Marianne Olsson Lindberg, Jens Persson

“…,t/εrm)∇uε(x,t))=f(x,t) exhibiting an arbitrary finite number of both spatial and temporal scales. We briefly recall some fundamentals of multiscale convergence and provide a characterization of multiscale limits for gradients, in an evolution setting adapted to a quite general class of well-separated scales, which we name by jointly well-separated scales (see appendix for the proof). …”
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Lidar estimates of birch pollen number, mass, and CCN-related concentrations by M. Filioglou, P. Tiitta, P. Tiitta, X. Shang, A. Leskinen, P. Ahola, S. Pätsi, A. Saarto, V. Vakkari, V. Vakkari, U. Isopahkala, M. Komppula

“…<p>The accurate representation of microphysical properties of atmospheric aerosol particles – such as the number, mass, and cloud condensation nuclei (CCN) concentration – is key to constraining climate forcing estimations and improving weather and air quality forecasts. …”
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Variation in Cell Number in a Population of Bembix Americana (Hymenoptera: Sphecidae) by John Alcock

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Nonparametric estimation of the number of classes with different average brightness in thermal images by A.N. Galyntich, M.A. Raifeld

“…When there is no information about the number of brightness classes, synthesizing algorithms for automatic image threshold segmentation involves a problem of determining the number of thresholds. …”
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Problems in Evaluating Numbers of Ethnic Abkhazians and Georgians in Abkhazia in the Middle 2000’s by A. N. Yamskov

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Characteristics of Low Reynolds Number Shear-Free Turbulence at an Impermeable Base by W. H. M. Wan Mohtar, A. ElShafie

“…Shear-free turbulence generated from an oscillating grid in a water tank impinging on an impermeable surface at varying Reynolds number 74≤Rel≤570 was studied experimentally, where the Reynolds number is defined based on the root-mean-square (r.m.s) horizontal velocity and the integral length scale. …”
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An econometric study of the number of undernourished people in Colombia from 2000 to 2021* by Susan Elsa Cancino, Giovanni Orlando Cancino-Escalante

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A Note on the (ℎ,𝑞)-Extension of Bernoulli Numbers and Bernoulli Polynomials by C. S. Ryoo, T. Kim

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Square-free numbers in the intersection of Lehmer set and Piatetski-Shapiro sequence by Zhao Xiaoqing, Yi Yuan

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Empirical and Theoretical Studies on Number Comparison: Design Parameters and Research Questions by Meltem Ballan

“…For well over one-hundred years, several key factors have been well established in the study of number comparison, including mental number line, numerical distance effect, and effect of sensory representation on number processing. …”
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