Results 61 to 70 of about 1,195,018 (195)
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
doaj +1 more source
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.
openaire +2 more sources
Mathematica Montisnigri, 2021 We introduce Mersenne-Lucas hybrid numbers. We give the Binet formula, the generating function, the sum, the character, the norm and the vector representation of these numbers. We find some relations among Mersenne-Lucas hybrid numbers, Jacopsthal hybrid numbers, Jacopsthal-Lucas hybrid numbers and Mersenne hybrid numbers.
Engin Özkan, Mine Uysal
openaire +1 more source
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
wiley +1 more source
Mersenne Primes in Certain Lucas Sequences [PDF]
EPJ Web of ConferencesPrime numbers are the most important numbers in number theory and cryptography. One of such special primes are given by the set of Mersenne primes, that are derived from the form Mn = 2n − 1, where n is a prime number.
Hadi Ahmed H., Hashim Hayder R.
doaj +1 more source
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
wiley +1 more source
Converting Binary Floating‐Point Numbers to Shortest Decimal Strings: An Experimental Review
Software: Practice and Experience, Volume 56, Issue 4, Page 462-478, April 2026.ABSTRACT Background When sharing or logging numerical data, we must convert binary floating‐point numbers into their decimal string representations. For example, the number π might become 3.1415927. Engineers have perfected many algorithms for producing such accurate, short strings.
Jaël Champagne Gareau, Daniel Lemire
wiley +1 more source
Acerca de algunos exponentes de Mersenne (About some Mersenne exponents)
Revista Digital Matemática, Educación e InternetLos números primos de Mersenne crecen de manera vertiginosa y se vuelven intratables con las herramientas de cómputo actuales. En este trabajo se repasan brevemente las cadenas de Mersenne para mostrar cómo ese crecimiento exponencial impone un límite en
Gerardo Miramontes de León
doaj +1 more source
Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix
Abstract and Applied Analysis, 2015 The well known circulant matrices are applied to solve networked systems. In this paper, circulant and left circulant matrices with the Fermat and Mersenne numbers are considered. The nonsingularity of these special matrices is discussed.
Yanpeng Zheng, Sugoog Shon
doaj +1 more source
Fast, high-quality pseudo random number generators for heterogeneous computing [PDF]
EPJ Web of ConferencesRandom number generation is key to many applications in a wide variety of disciplines. Depending on the application, the quality of the random numbers from a particular generator can directly impact both computational performance and critically the ...
Barbone Marco +7 more
doaj +1 more source