Results 41 to 50 of about 10,597,961 (334)
C-Differentials, Multiplicative Uniformity, and (Almost) Perfect c-Nonlinearity [PDF]
IEEE Transactions on Information Theory, 2019 In this paper we define a new (output) multiplicative differential, and the corresponding c-differential uniformity. With this new concept, even for characteristic 2, there are perfect ${c}$ -nonlinear (PcN) functions.
Pål Ellingsen +4 more
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Multiplicative polynomials and Fermat's little theorem for non-primes
International Journal of Mathematics and Mathematical Sciences, 1997 Fermat's Little Theorem states that xp=x(modp) for x∈N and prime p, and so identifies an integer-valued polynomial (IVP) gp(x)=(xp−x)/p. Presented here are IVP's gn for non-prime n that complete the sequence {gn|n∈N} in a natural way.
Paul Milnes, C. Stanley-Albarda
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Identical equations for multiplicative functions [PDF]
Notes on Number Theory and Discrete MathematicsWe examine identical equations for multiplicative functions and certain special cases, such as totients and quadratics. We confine ourselves to identical equations expressing the value f(mn) (or the value f(m)f(n)) nontrivially in terms of the values f(m/
Pentti Haukkanen
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Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars
Journal of Mathematics, 2021 The field of graph theory is broadly growing and playing a remarkable role in cheminformatics, mainly in chemistry and mathematics in developing different chemical structures and their physicochemical properties.
Aqsa Sattar +2 more
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Multiplicative Square Functions
Revista Matemática Iberoamericana, 2004 We study regularity properties of a positive measure in the euclidean space in terms of two square functions which are the multiplicative analogues of the usual martingale square function and of the Lusin area function of a harmonic function.
González, María José, Nicolau, Artur
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Osteoprotegerin: Multiple partners for multiple functions [PDF]
Cytokine & Growth Factor Reviews, 2013 Osteoprotegerin (OPG) is an essential secreted protein in bone turnover due to its role as a decoy receptor for the Receptor Activator of Nuclear Factor-kB ligand (RANKL) in the osteoclasts, thus inhibiting their differentiation. However, there are additional ligands of OPG that confer various biological functions.
Carmen Ruiz-Velasco +12 more
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AIMS MathematicsIn this paper, we take into account the notion of strongly multiplicative convex function and derive integral inequalities of Hermite-Hadamard ($ H.H $) type for such a function in the frame of multiplicative calculus.
Muhammad Umar +2 more
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On the General and Measurable Solutions of some Functional Equations
Annales Mathematicae Silesianae, 2018 The general solutions of two functional equations, without imposing any regularity condition on any of the functions appearing, have been obtained. From these general solutions, the Lebesgue measurable solutions have been deduced by assuming the function(
Nath Prem, Singh Dhiraj Kumar
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Modeling hepatic fibrosis in TP53 knockout iPSC‐derived human liver organoids
Molecular Oncology, EarlyView.This study developed iPSC‐derived human liver organoids with TP53 gene knockout to model human liver fibrosis. These organoids showed elevated myofibroblast activation, early disease markers, and advanced fibrotic hallmarks. The use of profibrotic differentiation medium further amplified the fibrotic signature seen in the organoids.
Mustafa Karabicici +8 more
wiley +1 more source
On generalizations of the Pompeiu functional equation
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, we determine the general solution of the functional equations f(x+y+xy)=p(x)+q(y)+g(x)h(y), (∀x,y∈ℜ*) and f(ax+by+cxy)=f(x)+f(y)+f(x)f(y), (∀x,y∈ℜ) which are generalizations of a functional equation studied by Pompeiu. We present a
Pl. Kannappan, P. K. Sahoo
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