Results 1 to 10 of about 15,188,620 (312)
Theorem of the complex exponentials
Ratio Mathematica, 2019 This paper describes a new theorem that relates the lengths of the legs of a right triangle with the ratio of three complex exponentials. The big novelty of the theorem consists in transforming two real measures of legs derived from Euclidean geometry ...
Alberto Daunisi
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A note on families of generalized Nörlund matrices as bounded operators on lp; pp. 137–145 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 We deal with generalized Nörlund matrices A = (N, pn, qn) defined by means of two non-negative sequences (pn) and (qn) with p0, q0, gt; 0. We are interested in simple conditions such that the associated non-negative triangular matrix A = (ank) is a ...
Ulrich Stadtmüller, Anne Tali
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Fountains, histograms, and q-identities [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 We solve the recursion S_n=S_n-1-q^nS_n-p, both, explicitly, and in the limit for n→∞, proving in this way a formula due to Merlini and Sprugnoli. It is also discussed how computer algebra could be applied.
Peter Paule, Helmut Prodinger
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Analysis of some statistics for increasing tree families [PDF]
Discrete Mathematics & Theoretical Computer Science, 2004 This paper deals with statistics concerning distances between randomly chosen nodes in varieties of increasing trees. Increasing trees are labelled rooted trees where labels along any branch from the root go in increasing order.
Alois Panholzer, Helmut Prodinger
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A Quantum Wavelet Uncertainty Principle
Fractal and Fractional, 2021 In the present paper, an uncertainty principle is derived in the quantum wavelet framework. Precisely, a new uncertainty principle for the generalized q-Bessel wavelet transform, based on some q-quantum wavelet, is established. A two-parameters extension
Sabrine Arfaoui +2 more
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Homological dimension based on a class of Gorenstein flat modules
Comptes Rendus. Mathématique, 2023 In this paper, we study the relative homological dimension based on the class of projectively coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and Stovicek in [26].
Dalezios, Georgios, Emmanouil, Ioannis
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Journal of MathematicsThe primary contribution of this paper is to research one kind special Kloosterman sums using analytic method. We translate one kind fourth power mean of the Kloosterman sums into the character sums of one kind polynomials. It is possible to construct an
Shushu Ning, Xuexia Wang
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The average position of the first maximum in a sample of geometric random variables [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We consider samples of n geometric random variables $(Γ _1, Γ _2, \dots Γ _n)$ where $\mathbb{P}\{Γ _j=i\}=pq^{i-1}$, for $1≤j ≤n$, with $p+q=1$. The parameter we study is the position of the first occurrence of the maximum value in a such a sample.
Margaret Archibald, Arnold Knopfmacher
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New Proof of the Property of Stirling Number Based on Fubini Polynomials
Journal of MathematicsThe main purpose of this article is using the elementary methods and the properties of the Fubini polynomials to study the congruence properties of a signless Stirling number of the first kind and solve a conjecture proposed by J. H. Zhao and Z. Y. Chen.
Li Wang, Xiaoge Liu
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Quantum solutions of a nonlinear Schrödinger equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn the present paper, we precisely conduct a quantum calculus method for the numerical solutions of PDEs. A nonlinear Schrödinger equation is considered. Instead of the known classical discretization methods based on the finite difference scheme, Adomian
S. Arfaoui, Ben Mabrouk
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