Results 21 to 30 of about 41,461 (248)
Solutions and Stability of Generalized Kannappan’s and Van Vleck’s Functional Equations
Annales Mathematicae Silesianae, 2018 We study the solutions of the integral Kannappan’s and Van Vleck’s functional equations ∫Sf(xyt)dµ(t)+∫Sf(xσ(y)t)dµ(t)= 2f(x)f(y), x,y ∈ S; ∫Sf(xσ(y)t)dµ(t)-∫Sf(xyt)dµ(t)= 2f(x)f(y), x,y ∈ S; where S is a semigroup, σ is an involutive automorphism of S ...
Elqorachi Elhoucien, Redouani Ahmed
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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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Hermite–Hadamard type inequalities for multiplicatively harmonic convex functions
Journal of Inequalities and Applications, 2023 In this work, the notion of a multiplicative harmonic convex function is examined, and Hermite–Hadamard inequalities for this class of functions are established.
Serap Özcan, Saad Ihsan Butt
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Multiple Functional Parathyroid Cysts [PDF]
The Journal of Clinical Endocrinology & Metabolism, 2013 A 43-year-old gentleman was diagnosed with primary hyperparathyroidism during treatment for kidney stones. Serum calcium measured 11.28 mg/dL (normal range, 8.8–10.4), with an elevated serum PTH of 155 pg/mL (normal range, 16–65). He underwent preoperative tumor localization studies. Tc scintigraphy did not show any abnormal tracer uptake.
Nigel, Glynn +6 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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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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In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
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A Weberized Total Variation Regularization-Based Image Multiplicative Noise Removal Algorithm
EURASIP Journal on Advances in Signal Processing, 2010 Multiplicative noise removal is of momentous significance in coherent imaging systems and various image processing applications. This paper proposes a new nonconvex variational model for multiplicative noise removal under the Weberized total variation ...
Zhi-Hui Wei, Li-Li Huang, Liang Xiao
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Function theory and multiplicative linear functionals [PDF]
Transactions of the American Mathematical Society, 1965 The principal result of this paper is that HO is a logmodular algebra on the maximal ideal space of Lw(m), i.e., that each real-valued function in L(m) is the logarithm of the modulus of an invertible function in the algebra H'. This enables us to deduce from (a) and (b) the bulk of the generalized analytic function theory which is valid for logmodular
Hoffman, K., Rossi, H.
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