Results 21 to 30 of about 177,748 (281)

Positively curved bilinear forms [PDF]

open access: yesProceedings of the American Mathematical Society, 1986
A characterisation of the positivity of sectional curvature is given in terms of the angular spread of the second fundamental form.
Sarkaria, K. S., Zoltek, S. M.
openaire   +1 more source

Structure theory of Clifford-Weyl algebras and representations of ortho-symplectic Lie superalgebras [PDF]

open access: yesAUT Journal of Mathematics and Computing
In this article, the structure of the Clifford-Weyl superalgebras and their associated Lie superalgebras will be investigated. These superalgebras have a natural supersymmetric inner product which is invariant under their Lie superalgebra structures. The
Nasser Boroojerdian
doaj   +1 more source

Hardware acceleration of number theoretic transform for zk‐SNARK

open access: yesEngineering 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

Counting smaller trees in the Tamari order [PDF]

open access: yesDiscrete 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
doaj   +1 more source

Linear Subspaces of Solutions Applied to Hirota Bilinear Equations

open access: yesAceh 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
doaj   +1 more source

On a discrete Davey-Stewartson system [PDF]

open access: yes, 2006
We propose a differential difference equation in ${\mathcal R}^1\times {\mathcal Z}^2$ and study it by Hirota's bilinear method. This equation has a singular continuum limit into a system which admits the reduction to the Davey-Stewartson equation ...
Ablowitz M J   +12 more
core   +1 more source

Simple biset functors and double Burnside rings [PDF]

open access: yes, 2012
Let G be a finite group and let k be a field. Our purpose is to investigate the simple modules for the double Burnside ring kB(G,G). It turns out that they are evaluations at G of simple biset functors. For a fixed finite group H, we introduce a suitable
Bouc, Serge   +2 more
core   +2 more sources

Three Representation Types for Systems of Forms and Linear Maps

open access: yesMathematics, 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
doaj   +1 more source

The Painlevé Tests, Bäcklund Transformation and Bilinear Form for the KdV Equation with a Self-Consistent Source

open access: yesDiscrete 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
doaj   +1 more source

New results on q-positivity [PDF]

open access: yes, 2011
In this paper we discuss symmetrically self-dual spaces, which are simply real vector spaces with a symmetric bilinear form. Certain subsets of the space will be called q-positive, where q is the quadratic form induced by the original bilinear form.
F.A. Valentine   +12 more
core   +3 more sources

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