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Multiplication by Functions

2010
If X is an open subset of Rn, the function ψ belongs to \(C^\infty (X),\) and f is locally integrable on X, one has, for every test function \(\phi,\ ({\rm test}(\psi\ f))(\phi ) = ({\rm test}\ f)(\psi\ \phi ).\)
J. J. Duistermaat, J. A. C. Kolk
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AN IMPROVED MODEL FOR THE MULTIPLICITY FUNCTION

International Journal of Modern Physics D, 2005
I compare the numerical multiplicity function given in Ref. 35 with the theoretical multiplicity function obtained by means of the excursion set model and an improved version of the barrier shape obtained in Ref. 7, which implicitly takes account of total angular momentum acquired by the proto-structure during evolution and of a non-zero cosmological ...
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Multiplicative neuron model artificial neural network based on Gaussian activation function

Neural computing & applications (Print), 2016
Ozge Gundogdu   +3 more
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Estimates for multiplicative functions, I.

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica
In this paper we give upper estimates and asymptotic results for some classes of multiplicative functions. For the proofs we mainly use tools from the convolution arithmetic of number theoretical functions (see [4]).
Indlekofer, Karl-Heinz, Kaya, Erdener
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On Multiplicative Weight Updates for Concave and Submodular Function Maximization

Information Technology Convergence and Services, 2015
C. Chekuri, T. S. Jayram, J. Vondrák
semanticscholar   +1 more source

Summation of a random multiplicative function on numbers having few prime factors

Mathematical Proceedings of the Cambridge Philosophical Society, 2010
Bob Hough
semanticscholar   +1 more source

Multiplicative Functions

1995
Abstract The function method is a powerful tool in some branches of number theory. Suppose we are given a property R of the positive integers, and suppose we can define a function r which represents R, then we can apply algebraic or analytic techniques to r in the hope of characterizing R. For instance.
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The Multiplicity Function

2018
Since every orthonormal wavelet, and every semiorthogonal Parseval wavelet, has an associated GMRA, each also has an associated multiplicity function. In this chapter, we explore the use of the multiplicity function as a tool to analyze and build wavelets, and see how it is related to classical tools such as the dimension function.
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