Results 11 to 20 of about 5,237,732 (302)
Theory on Duplicity of Finite Neutrosophic Rings [PDF]
This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring and neutrosophic duplex ring by way of various illustrations.
T. Chalapathi +3 more
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Diversity of Bivariate Concordance Measures
We revisit the axioms of Scarsini, defining bivariate concordance measures for a pair of continuous random variables (X,Y); such measures can be understood as functions of the bivariate copula C associated with (X,Y).
Martynas Manstavičius
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The multiplicity function of galaxies [PDF]
10 pages, 10 figures.
LONGO, GIUSEPPE +4 more
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The Cosine-Sine Functional Equation on Semigroups
The primary object of study is the “cosine-sine” functional equation f(xy) = f(x)g(y)+g(x)f(y)+h(x)h(y) for unknown functions f, g, h : S → ℂ, where S is a semigroup.
Ebanks Bruce
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On the multiplicative Legendre equation
When exponentials are employed to model procedures and efficacies appearing in real life, an additive derivative of this type of function does not exist.
Sertac Goktas
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A Variant of D’Alembert’s Functional Equation on Semigroups with Endomorphisms
Let S be a semigroup, and let φ, ψ: S → S be two endomorphisms (which are not necessarily involutive). Our main goal in this paper is to solve the following generalized variant of d’Alembert’s functional equation f(xϕ(y))+f(ψ(y)x)=2f(x)f(y), x,y ∈ S,
Akkaoui Ahmed +2 more
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A Note on Ostrowski's Inequality [PDF]
This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: i) the case of random variables (attached to arbitrary probability fields); ii) the comparison is ...
Florea, Aurelia, Niculescu, Constantin P
core +6 more sources
The Spectrum of Multiplicative Functions [PDF]
Let S be a subset of the unit disk, and let F(s) denote the class of completely multiplicative functions f such that f(p) is in S for all primes p. The authors' main concern is which numbers arise as mean-values of functions in F(s). More precisely, let Gamma_N(S) = {1/N sum_{n <= N} f(n): f in F(S)} and Gamma(S) = lim_{N -> infinity} Gamma_N(s).
Granville, Andrew, Soundararajan, K.
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Multiple functions of USP18 [PDF]
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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A Parametric Functional Equation Originating from Number Theory
Let S be a semigroup and α, β ∈ ℝ. The purpose of this paper is to determine the general solution f : ℝ2 → S of the following parametric functional equation f(x1+x2+αy1y2,x1y2+x2y1+βy1y2)=f(x1,y1)f(x2,y2),f\left( {{x_1} + {x_2} + \alpha {y_1}{y_2},{x_1 ...
Mouzoun Aziz +2 more
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