Results 111 to 120 of about 94,783 (262)
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley +1 more source
A Theorem on the Binomial Coefficients of Combinatorial Geometric Series and Some Solutions on Partitions of the Binomial Coefficients [PDF]
, 2022 Chinnaraji Annamalai
openalex +1 more source
Scaling Invariant Generation Using State Space Embeddings and GPU Streaming
Concurrency and Computation: Practice and Experience, Volume 37, Issue 25-26, 30 November 2025.ABSTRACT The formal verification of railway control systems can ensure the safety of complex scheme plans through techniques such as induction‐based model checking. While inductive verification performs well in complex settings, it often produces false positives due to its consideration of transitions from unreachable safe states to unsafe states ...
Ben Lloyd‐Roberts +4 more
wiley +1 more source
Another Power Identity involving Binomial Theorem and Faulhaber's formula [PDF]
, 2018 Petro Kolosov
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AIMS Public Health, 2017 The aim of this study is to examine how well different informative priors model age-at-death in Bayesian statistics, which will shed light on how the skeleton ages, particularly at the sacroiliac joint.
Kanya Godde
doaj +1 more source
Journal of Animal Breeding and Genetics, Volume 142, Issue 6, Page 675-684, November 2025.ABSTRACT Fitness traits described as a ratio often display non‐normal distributions; consequently, transformations are frequently applied to improve normality prior to the estimation of genetic parameters. However, the impact of different transformations on genetic parameter estimates depends on the dataset at hand.
Evan Hartono +5 more
wiley +1 more source
On Finite-Time Ruin Probabilities for Classical Risk Models [PDF]
This paper is concerned with the problem of ruin in the classical compound binomial and compound Poisson risk models. Our primary purpose is to extend to those models an exact formula derived by Picard and Lefèvre (1997) for the probability of (non-)ruin
Claude Lefèvre, Stéphane Loisel
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Applied AI Letters, Volume 6, Issue 3, October 2025.Harnessing the power of AI requires a delicate balance between human intuition and machine intelligence. Our study on AI's role in complex decision‐making reveals that while AI integration boosts operational efficiency and strategic insights, significant challenges in data privacy, ethics, and workforce training persist.
Nnamdi Gabriel Okafor, Patrick J. Murphy
wiley +1 more source
A Note on the Probability of Winning a Lottery when the Number of Competitors is a Binomial Random Variable [PDF]
Consider a model in which a consumer faces a lottery with j other people for a prize, so that the probability of winning the prize is 1/(j+1). Now let j be a random variable, determined by the binomial distribution. Specifically, let there be n potential
Laura Meriluoto, Seamus Hogan
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