Results 51 to 60 of about 56,399 (238)
The Binomial-Stirling-Eulerian Polynomials
, 2023 We introduce the binomial-Stirling-Eulerian polynomials, denoted $\tilde{A}_n(x,y|α)$, which encompass binomial coefficients, Eulerian numbers and two Stirling statistics: the left-to-right minima and the right-to-left minima. When $α=1$, these polynomials reduce to the binomial-Eulerian polynomials $\tilde{A}_n(x,y)$, originally named by Shareshian ...
Ji, Kathy Q., Lin, Zhicong
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Edge detection and mathematic fitting for corneal surface with Matlab software
International Journal of Ophthalmology, 2017 AIM: To select the optimal edge detection methods to identify the corneal surface, and compare three fitting curve equations with Matlab software. METHODS: Fifteen subjects were recruited.
Yue Di, Mei-Yan Li, Tong Qiao, Na Lu
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One Parameter Polynomial Exponential Distribution with Binomial Mixture
Revstat Statistical JournalA further generalized version of one parameter polynomial exponential distribution with binomial probability mass as a mixture called a Binomial Mixture One Parameter Polynomial Exponential Distribution (BMOPPE) is proposed in the article.
Molay Kumar Ruidas +4 more
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Vieta's triangular array and a related family of polynomials
International Journal of Mathematics and Mathematical Sciences, 1991 If n≥1, let the nth row of an infinite triangular array consist of entries B(n,j)=nn−j(jn−j), where 0≤j≤[12n].
Neville Robbins
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Forum of Mathematics, SigmaSchubert polynomials are polynomial representatives of Schubert classes in the cohomology of the complete flag variety and have a combinatorial formulation in terms of bumpless pipe dreams.
Tuong Le +4 more
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Reciprocal formulae for convolutions of Bernoulli and Euler polynomials [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2012 By computing the bivariate exponential generating functions for the Ω-functions, we investigate the reciprocal sums concerning Bernoulli and Euler polynomials.
Wenchang Chu
doaj
Inverses and eigenvalues of diamondalternating sign matrices
Special Matrices, 2014 An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived.
Catral Minerva +3 more
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Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers
Mathematics, 2022 Seven infinite series involving two free variables and central binomial coefficients (in denominators) are explicitly evaluated in closed form. Several identities regarding Pell/Lucas polynomials and Fibonacci/Lucas numbers are presented as consequences.
Dongwei Guo, Wenchang Chu
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Polynomial Triangles Revisited [PDF]
, 2012 A polynomial triangle is an array whose inputs are the coefficients in integral powers of a polynomial. Although polynomial coefficients have appeared in several works, there is no systematic treatise on this topic. In this paper we plan to fill this gap.
Mohammedia Morocco, Nour-eddine Fahssi
core
Advanced Intelligent Systems, EarlyView.This article offers a comprehensive review of topic modeling techniques, tracing their evolution from inception to recent developments. It explores methods such as latent Dirichlet allocation, latent semantic analysis, non‐negative matrix factorization, probabilistic latent semantic analysis, Top2Vec, and BERTopic, highlighting their strengths ...
Pratima Kumari +6 more
wiley +1 more source