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The Complex Multiplication Method for Genus 3 Curves
We consider the problem of constructing genus 3 curves defined over the complex field with the property that their Jacobians are simple and admit... -
Compact intertwining relation for multiplication operators in several complex variables
We study the compact intertwining relations for the multiplication operators between Hardy spaces and Bergman spaces in the unit ball of
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Zariski Topology Over Multiplication Krasner Hypermodules
We introduce the notion of multiplication Krasner hypermodules over commutative hyperrings and topologize the collection of all multiplication...
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Multiplication of Distributions and Algebras of Mnemofunctions
In this paper, we discuss methods and approaches for definition of multiplication of distributions, which is not defined in general in the classical...
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Optimization of Multidigit Multiplication Based on Discrete (Fourier, Cosine, Sine) Transforms in the Parallel Computing Model
The authors consider the multidigit multiplication operation, on whose speed the speed of asymmetric cryptographic software and hardware depends....
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The Normalized Cochain Complex of a Nonsymmetric Cyclic Operad with Multiplication is a Quesney Homotopy BV Algebra
We show that the normalized cochain complex of a nonsymmetric cyclic operad with multiplication is a Quesney homotopy BV algebra; as a consequence,...
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Complex Numbers
So far we have worked with real numbers and used that they are ordered and can be added and multiplied, tacitly assuming that addition and... -
A non-probabilistic reliability topology optimization method based on aggregation function and matrix multiplication considering buckling response constraints
A non-probabilistic reliability topology optimization method is proposed based on the aggregation function and matrix multiplication. The expression...
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Monogenic Functions in Vector Spaces with Commutative Multiplication
This chapter discusses the concepts of differentiable function Φ: Ω → 𝔸 taking values in a vector space 𝔸 in which a commutative multiplication is... -
Existence, construction and extension of continuous solutions of an iterative equation with multiplication
The iterative equation is an equality with an unknown function and its iterates, most of which found from references are a linear combination of...
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Cauchy–de Branges Spaces, Geometry of Their Reproducing Kernels and Multiplication Operators
Cauchy–de Branges spaces are Hilbert spaces of entire functions defined in terms of Cauchy transforms of discrete measures on the plane and...
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Complex Numbers and Complex Plane
In this chapter we recall some concepts from basic courses in mathematical analysis of real-valued functions of one and several variables as well as... -
Eigenvalues and Jordan Forms of Dual Complex Matrices
Dual complex matrices have found applications in brain science. There are two different definitions of the dual complex number multiplication. One is...