Results 11 to 20 of about 302,843 (318)
Modeling the Dirichlet distribution using multiplicative functions
Nonlinear Analysis, 2020 For q,m,n,d ∈ N and some multiplicative function f > 0, we denote by T3(n) the sum of f(d) over the ordered triples (q,m,d) with qmd = n. We prove that Cesaro mean of distribution functions defined by means of T3 uniformly converges to the one-parameter ...
Gintautas Bareikis, Algirdas Mačiulis
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Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers
Annales Mathematicae Silesianae, 2023 In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.
Gryszka Karol
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About Smarandache-Multiplicative Functions [PDF]
, 1997 The main objective of this note is to introduce the notion of the S-multiplicative function and to give some simple properties concerning it. The name of S-multiplicative is short for Smarandache-multiplicative and reflects the main equation of the ...
Tabirca, Sabin
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Investigations of the analytic and probabilistic number theory in Šiauliai University
Lietuvos Matematikos Rinkinys, 2010 In this paper, the investigations of analytic and probabilistic number theory which were done in Šiauliai University are reviewed.
Darius Šiaučiūnas
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WNTs: Multiple Genes, Multiple Functions [PDF]
Journal of Investigative Dermatology, 2003 The development of ectodermal appendages such as hair, feathers and teeth has long fascinated biologists, who have attempted to understand how cells of different types interact with each other to induce the coordinated changes in cell shape, proliferation, adhesion and movement required for the formation of these intricate three-dimensional structures.
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On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications
AIMS Mathematics, 2023 In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new Simpson's and Newton's inequalities for multiplicative ...
Saowaluck Chasreechai +4 more
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Injectiveness and Discontinuity of Multiplicative Convex Functions
Mathematics, 2021 In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct ...
Pablo Jiménez-Rodríguez +3 more
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Some characterizations of specially multiplicative functions
International Journal of Mathematics and Mathematical Sciences, 2003 A multiplicative function f is said to be specially multiplicative if there is a completely multiplicative function fA such that f(m)f(n)=∑d|(m,n)f(mn/d2)fA(d) for all m and n.
Pentti Haukkanen
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Multiple functions of USP18 [PDF]
Cell Death & Disease, 2016 Since the discovery of the ubiquitin system and the description of its important role in the degradation of proteins, many studies have shown the importance of ubiquitin-specific peptidases (USPs). One special member of this family is the USP18 protein (formerly UBP43).
Honke, Nadine +4 more
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On the Complexity of Computing Two Nonlinearity Measures [PDF]
, 2014 We study the computational complexity of two Boolean nonlinearity measures: the nonlinearity and the multiplicative complexity. We show that if one-way functions exist, no algorithm can compute the multiplicative complexity in time $2^{O(n)}$ given the ...
A.A. Razborov +10 more
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