Results 21 to 30 of about 94,783 (262)
Central limit theorem: the cornerstone of modern statistics [PDF]
Korean Journal of Anesthesiology, 2017 According to the central limit theorem, the means of a random sample of size, n, from a population with mean, µ, and variance, σ2, distribute normally with mean, µ, and variance, σ2n.
Sang Gyu Kwak, Jong Hae Kim
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On the rank of the holomorphic solutions of PDE associated to directed graphs [PDF]
AUT Journal of Mathematics and Computing, 2021 Let $G$ be a directed graph with $m$ vertices and $n$ edges, $I(\textbf{B})$ the binomial ideal associated to the incidence matrix $\textbf{B}$ of the graph $G$, and $I_L$ the lattice ideal associated to the columns of the matrix $\textbf{B}$. Also let $\
Hamid Damadi, Farhad Rahmati
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The Generalized Discrete Proportional Derivative and Its Applications
Fractal and Fractional, 2023 The aim of this paper is to define the generalized discrete proportional derivative (GDPD) and illustrate the application of the Leibniz theorem, the binomial expansion, and Montmort’s formulas in the context of the generalized discrete proportional case.
Rajiniganth Pandurangan +3 more
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The Lossless Adaptive Binomial Data Compression Method
Applied Sciences, 2022 In this paper, we propose a new method for the binomial adaptive compression of binary sequences of finite length without loss of information. The advantage of the proposed binomial adaptive compression method compared with the binomial compression ...
Oleksiy Borysenko +4 more
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A Combinatorial Proof of a Result on Generalized Lucas Polynomials
Demonstratio Mathematica, 2016 We give a combinatorial proof of an elementary property of generalized Lucas polynomials, inspired by [1]. These polynomials in s and t are defined by the recurrence relation 〈n〉 = s〈n-1〉+t〈n-2〉 for n ≥ 2.
Laugier Alexandre, Saikia Manjil P.
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An approximation theorem for the Poisson binomial distribution [PDF]
Pacific Journal of Mathematics, 1960 Lucien Le Cam
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On a New Class of Fractional Difference-Sum Operators with Discrete Mittag-Leffler Kernels
Mathematics, 2019 We formulate a new class of fractional difference and sum operators, study their fundamental properties, and find their discrete Laplace transforms. The method depends on iterating the fractional sum operators corresponding to fractional differences with
Thabet Abdeljawad, Arran Fernandez
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A note on Pascal's triangle and division by eleven
Intermaths, 2022 Divisibility is an old topic that to this day intrigues and fascinates researchers and scholars. Several rules are well-known in particular the divisibility by eleven, since, for example, a palindrome with an even number of digits is divisible by eleven.
Leonardo Ribeiro de Castro Carvalho +1 more
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Object Reconstruction Using the Binomial Theorem for Ghost Imaging
IEEE Photonics Journal, 2018 Noise term in the reconstruction matrix in ghost imaging is a major cause of blurring imaging results. To remedy this problem, we propose a new ghost imaging method based on the binomial theorem to reduce the level of noise.
Cong Yue +7 more
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A Fast Algorithm for Computing Binomial Coefficients Modulo Powers of Two
The Scientific World Journal, 2013 I present a new algorithm for computing binomial coefficients modulo . The proposed method has an preprocessing time, after which a binomial coefficient with can be computed modulo in time.
Mugurel Ionut Andreica
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