Results 11 to 20 of about 10,458 (263)
Hardware acceleration of number theoretic transform for zk‐SNARK
Engineering Reports, EarlyView., 2023 An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao +6 more
wiley +1 more source
Linear Subspaces of Solutions Applied to Hirota Bilinear Equations
Aceh International Journal of Science and Technology, 2012 - Linear subspace of solution is applied to Boussinesq and Kadomtseve-Petviashvili (KP) equations using Hirota bilinear transformation. A sufficient and necessary condition for the existence of linear subspaces of exponential travelling wave solutions to
M. Y. Adamu, E. Suleiman
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Counting smaller trees in the Tamari order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce new combinatorial objects, the interval-posets, that encode intervals of the Tamari lattice. We then find a combinatorial interpretation of the bilinear form that appears in the functional equation of Tamari intervals described by Chapoton ...
Grégory Chatel, Viviane Pons
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Discrete Dynamics in Nature and Society, 2012 The Painlevé property and Bäcklund transformation for the KdV equation with a self-consistent source are presented. By testing the equation, it is shown that the equation has the Painlevé property.
Yali Shen, Fengqin Zhang, Xiaomei Feng
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Three Representation Types for Systems of Forms and Linear Maps
Mathematics, 2021 We consider systems of bilinear forms and linear maps as representations of a graph with undirected and directed edges. Its vertices represent vector spaces; its undirected and directed edges represent bilinear forms and linear maps, respectively.
Abdullah Alazemi +4 more
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The Leibniz algebras whose subalgebras are ideals
Open Mathematics, 2017 In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
Kurdachenko Leonid A. +2 more
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Bilinear forms on the Dirichlet space [PDF]
Analysis & PDE, 2010 v1: 29 ...
ARCOZZI, NICOLA +3 more
openaire +5 more sources
A Bilinear Form for Spin Manifolds [PDF]
Transactions of the American Mathematical Society, 1987 Let \(M^{2j+2}\) be a closed Spin manifold, and let [, ] be the symmetric bilinear form on \(H^ j(M; {\mathbb{Z}}_ 2)\) defined by \([x,y]=\). In this paper, the authors study [, ] and the resulting cobordism invariants. For example, the rank modulo 2 of [, ] on integral cohomology is \(\) when dim M\(=8k+2\).
Landweber, Peter S., Stong, Robert E.
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Bilinearization and new multi-soliton solutions of mKdV hierarchy with time-dependent coefficients
Open Physics, 2016 In this paper, Hirota’s bilinear method is extended to a new modified Kortweg–de Vries (mKdV) hierarchy with time-dependent coefficients. To begin with, we give a bilinear form of the mKdV hierarchy. Based on the bilinear form, we then obtain one-soliton,
Zhang Sheng, Zhang Luyao
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Q-soliton solution for two-dimensional q-Toda lattice
Қарағанды университетінің хабаршысы. Физика сериясы, 2019 The Toda lattice is a non-linear evolution equation describing an infinite system of masses on a line that interacts through an exponential force. The paper analyzes the construction of soliton solution for the q-Toda lattice in the two-dimensional case.
Б.Б. Кутум, Г.Н. Шайхова
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