Results 61 to 70 of about 1,598,417 (209)
Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.ABSTRACT Conformity of observed data with a postulated probability distribution is a fundamental problem of statistical modeling. Current tools for checking distributional conformity are often limited to univariate settings, with extensions to multivariate distributions facing challenges in interpretability and power.
Rasha Alsaadawi, Nitai D. Mukhopadhyay
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Sum of Squares of ‘m’ Consecutive Woodall Numbers
مجلة بغداد للعلوم, 2023 This paper discusses the Sums of Squares of “m” consecutive Woodall Numbers. These discussions are made from the definition of Woodall numbers. Also learn the comparability of Woodall numbers and other special numbers.
P. Shanmuganandham, T. Deepika
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Journal of Forensic Sciences, Volume 71, Issue 4, Page 1556-1567, July 2026.Abstract In global forensic literature, methods for estimating age in young individuals are more commonly addressed than those applicable to adults. This trend is also evident in Brazil. This study aimed to evaluate the performance of the DRNNAGE software for age estimation in Brazilian identified human skeletons. The sample consisted of 400 skeletons (
André Marquim Nogueira da Fonte Cornélio +6 more
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ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractLetP(k) be the largest prime factor of the positive integerk. In this paper, we prove that the seriesis convergent for each constantα<1/2, which gives a more precise form of a result of C. L. Stewart [‘On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers’,Proc. London Math. Soc.35(3) (1977), 425–447].
Ford, Kevin +2 more
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Arab Journal of Basic and Applied SciencesThis paper introduces a new key geometric way to understand Mersenne prime numbers. It discovers a shape called the Mersenne Star, which appears naturally from a special sequence named the Quanta Prime Sequence (QPS).
Moustafa Ibrahim
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On the fixed‐point proportion of self‐similar groups
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that super strongly fractal groups acting on regular rooted trees have null fixed‐point proportion. In particular, we show that the fixed‐point proportion of an infinite family of iterated monodromy groups of exceptional complex polynomials has the same property.
Jorge Fariña‐Asategui, Santiago Radi
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Identities relating six members of the Fibonacci family of sequences
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we prove several identities each relating a sum of products of three terms coming from different members of the Fibonacci family of sequences with a comparable sum whose terms come from three other sequences.
R. Frontczak, T. Goy, M. Shattuck
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On k-circulant matrices with the Mersenne numbers having arithmetic indices
FilomatLet k be a non-zero complex number. In this paper, we consider a k -circulant matrix whose first row is (M_s, M_{s+t}, M_{s+2t}, \dots, M_{s+(n-2)t}, M_{s+(n-1)t}) , where M_s is the n^{th} Mersenne number, s is a non-negative integer and ...
Biljana Radičić
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Mersenne and Fermat numbers [PDF]
Proceedings of the American Mathematical Society, 1954 The first seventeen even perfect numbers are therefore obtained by substituting these values of n in the expression 2 n-(2n -1). The first twelve of the Mersenne primes have been known since 1914; the twelfth, 21271, was indeed found by Lucas as early as 1876, and for the next seventy-five years was the largest known prime.
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JOR SPINE, Volume 9, Issue 2, June 2026.Statistical shape models (SSMs) derived from standard 2D lumbar MRIs capture coordinated morphological features that distinguish severe from normal spinal stenosis. Both intervertebral disc and combined models provide strong discriminatory power, comparable to or exceeding traditional anatomical measurements.
Mary H. Foltz +4 more
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