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  1. 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...
    Chapter 2024
  2. 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 ...

    Zixing Yuan, Cezhong Tong in Annals of Functional Analysis
    Article 26 October 2022
  3. Zariski Topology Over Multiplication Krasner Hypermodules

    We introduce the notion of multiplication Krasner hypermodules over commutative hyperrings and topologize the collection of all multiplication...

    Ö. Kulak, B. N. Türkmen in Ukrainian Mathematical Journal
    Article 01 September 2022
  4. 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...

    A. B. Antonevich, T. G. Shagova in Journal of Mathematical Sciences
    Article 18 August 2022
  5. 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....

    V. K. Zadiraka, A. M. Tereshchenko in Cybernetics and Systems Analysis
    Article 01 July 2022
  6. 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,...

    Weiguo Lyu, Guodong Zhou in Communications in Mathematics and Statistics
    Article 05 July 2021
  7. 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...
    Manuel Benz, Thomas Kappeler in Linear Algebra for the Sciences
    Chapter 2023
  8. 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...

    Lei Wang, Yingge Liu, ... Bing Han in Applied Mathematics and Mechanics
    Article 26 January 2024
  9. 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...
    Chapter 2023
  10. 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...

    Chaitanya Gopalakrishna, Murugan Veerapazham, ... Weinian Zhang in Science China Mathematics
    Article 13 June 2023
  11. 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...

    Anton Baranov in Milan Journal of Mathematics
    Article 17 February 2023
  12. 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...
    Taras Mel’nyk in Complex Analysis
    Chapter 2023
  13. 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...

    Article 28 September 2023
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