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Some Multiplicative Functionals

Canadian Journal of Mathematics, 1953
This note concerns itself primarily with the representation of continuous multiplicative functionals on L2 types of rings or Banach algebras to the real or complex fields where convolution is taken as the ring multiplication.
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Multiplicative Utility Functions

Operations Research, 1974
This paper presents sufficient conditions for a multiattribute utility function to be either multiplicative or additive. The number of requisite assumptions to imply the main result is equal to the number of attributes. Because the assumptions involve only trade-offs between two attributes at a time or lotteries over one attribute, it is reasonable to
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Multiplicity of holomorphic functions

Mathematische Annalen, 2000
Let \(f:P^2\to P^2\) be a rational map of maximal rank and of degree \(d\). Denote by \(I(f)\) the (finite) set of points of indeterminancy of \(f\). The map \(f\) is said to be algebraically stable if \(f^{-n}(I(f))\) is finite for any \(n\geq 0\). Under this condition, it is possible to define an invariant positive closed (1,1)-current \(T(f)=\lim_{n
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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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Approximately Multiplicative Functionals

Journal of the London Mathematical Society, 1986
Let \({\mathfrak A}\) be a commutative Banach algebra with dual \({\mathfrak A}^*\). For \(\phi \in A^*\), define \({\breve \phi}\)(a,b)\(=\phi (ab)- \phi (a)\phi (b)\), and call \(\phi\delta\)-multiplicative iff \(\| {\breve \phi}\| \leq \delta\). \({\mathfrak A}\) is an algebra in which approximately multiplicative functionals are near multiplicative
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Multiplicative neuron model artificial neural network based on Gaussian activation function

Neural computing & applications (Print), 2016
Ozge Gundogdu   +3 more
semanticscholar   +1 more source

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

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