WEIERSTRASS APPROXIMATION THEOREM VIA RANDOM-SUM APPROACH by Trần Lộc Hùng

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Generalized Fractional Integral Inequalities for Continuous Random Variables by Abdullah Akkurt, Zeynep Kaçar, Hüseyin Yildirim

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Chosen-key extracting attack to random LSB steganography by CHEN Jia-yong1, ZHU Yue-fei1, ZHANG Wei-ming2, LIU Jiu-fen2

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Level crossings and turning points of random hyperbolic polynomials by K. Farahmand, P. Hannigan

“…In this paper, we show that the asymptotic estimate for the expected number of K-level crossings of a random hyperbolic polynomial a1sinhx+a2sinh2x+⋯+ansinhnx, where aj(j=1,2,…,n) are independent normally distributed random variables with mean zero and variance one, is (1/π)logn. …”
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Maximizing Banking Profit on a Random Time Interval by J. Mukuddem-Petersen, M. A. Petersen, I. M. Schoeman, B. A. Tau

“…A solution to the aforementioned problem enables us to maximize the expected utility of discounted depository consumption over a random time interval, [t,τ], and profit at terminal time τ. …”
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Random Attractors for Stochastic Retarded Lattice Dynamical Systems by Xiaoquan Ding, Jifa Jiang

“…We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within the set of tempered random bounded sets.…”
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Zeros of an algebraic polynomial with nonequal means random coefficients by K. Farahmand, P. Flood

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A Markov Chain Approach to Randomly Grown Graphs by Michael Knudsen, Carsten Wiuf

“…A Markov chain approach to the study of randomly grown graphs is proposed and applied to some popular models that have found use in biology and elsewhere. …”
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Survey on community detection method based on random walk by Yang GAO, Hongli ZHANG

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Complexity control method of random forest based HEVC by Peng WEN, Zongju PENG, Fen CHEN, Gangyi JIANG, Mei YU

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The Dynamic Spread of the Forward CDS with General Random Loss by Kun Tian, Dewen Xiong, Zhongxing Ye

“…We assume that the filtration F is generated by a d-dimensional Brownian motion W=(W1,…,Wd)′ as well as an integer-valued random measure μ(du,dy). The random variable τ~ is the default time and L is the default loss. …”
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Analysis of Investment Returns as Markov Chain Random Walk by Felix Okoe Mettle, Emmanuel Kojo Aidoo, Carlos Oko Narku Dowuona, Louis Agyekum

“…To this effect, a Markov chain random walk model was successfully developed and implemented on 450 monthly market returns data spanning from January 1976 to December 2020 for Canada, India, Mexico, South Africa, and Switzerland obtained from the Federal Reserves of the Bank of St. …”
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Not as random: the stable dynamics controlling shallow convective clouds by Ilan Koren, Tom Dror, Elizabeth-Ruth Shehter, Orit Altaratz

“…The formation mechanism of these clouds is associated with random, local perturbations that create buoyant parcels. …”
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Random access scheme for different MTC scenario requirement by Zhefu WU, Xinyuan YANG, Wenchao ZHAI, Huimei HAN

“…For the different random access requirements of the mixed scenarios of ultra-reliable low latency (URLLC) and massive machine type communications (mMTC) in MTC,a random access scheme based on devices grouping was proposed.The proposed scheme divided the MTC devices into several groups based on the timing advance (TA) information:for the URLLC scenario,preamble resources were reserved for core devices in each group,and the URLLC devices accessed the network via the contention-free mechanism,to satisfy the ultra-reliable low latency access requirement; for the mMTC scenario,the base station utilized the different TA information in different group to identify devices selecting the same preamble,and performed successive interference cancellation (SIC) algorithm to detect the data information,to satisfy the massive access requirement.Simulation results demonstrate that the proposed scheme can significantly increase the number of the successful devices.…”
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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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The effect of random scale changes on limits of infinitesimal systems by Patrick L. Brockett

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Reliability and Random Lifetime Models of Planetary Gear Systems by Peng Gao, Liyang Xie, Wei Hu

“…The load parameters, the geometric parameters, and the material parameters are taken as the inputs of the reliability models and the random lifetime models. Moreover, failure dependence and dynamic random load redistributions are taken into account in the models. …”
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Optimizing Circuit Reusing and its Application in Randomized Benchmarking by Zhuo Chen, Guoding Liu, Xiongfeng Ma

“…Quantum learning tasks often leverage randomly sampled quantum circuits to characterize unknown systems. …”
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The asymptotic of the distribution of the maxima of the nonidentically distributed random variables by Arvydas Jokimaitis

“… In this paper the nonuniform estimate for the distribution of the maxima of the nonidentically distributed independent random variables is obtained. …”
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Serial test is superior to the traditional sequences random tests by YU Yi-zhou1, OU Hai-wen 1

Subjects: “…random sequence…”
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