Results 31 to 40 of about 1,824,922 (322)

On pattern structures of the N-soliton solution of the discrete KP equation over a finite field

, 2006
The existence and properties of coherent pattern in the multisoliton solutions of the dKP equation over a finite field is investigated. To that end, starting with an algebro-geometric construction over a finite field, we derive a "travelling wave ...
Białecki M, Doliwa A, Jonathan J C Nimmo, Koblitz N, Krichever I M, Krichever I M, Mariusz Białecki, Miller V S, Miwa T   +8 more
core   +1 more source

A sum-product theorem in function fields [PDF]

, 2013
Let $A$ be a finite subset of $\ffield$, the field of Laurent series in $1/t$ over a finite field $\mathbb{F}_q$. We show that for any $\epsilon>0$ there exists a constant $C$ dependent only on $\epsilon$ and $q$ such that $\max\{|A+A|,|AA|\}\geq C |A ...
Bloom, Thomas, Jones, Timothy G. F.
core   +1 more source

Effective Field Theory and Finite Density Systems

, 2008
This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT and then the ...
Abrikosov AA, Bertsch GF, Fetter AL, Gautam Rupak, Gorkov LP, Natl. Res. Counc., Negele JW, Pines D, Regal C, Richard J. Furnstahl, Rozpedzik D, Thomas Schäfer   +11 more
core   +1 more source

Reversible Self-Dual Codes over Finite Field

Cauchy: Jurnal Matematika Murni dan Aplikasi
Reversible self-dual code is a linear code which combine the properties from self-dual code and reversible code. Previous research shows that reversible self-dual codes have only been developed over field of order 2 and order 4.
Ardi Nur Hidayat, Vira Hari Krisnawati, Abdul Rouf Alghofari   +2 more
doaj   +1 more source

Overview of molecular signatures of senescence and associated resources: pros and cons

FEBS Open Bio, EarlyView.
Cells can enter a stress response state termed cellular senescence that is involved in various diseases and aging. Detecting these cells is challenging due to the lack of universal biomarkers. This review presents the current state of senescence identification, from biomarkers to molecular signatures, compares tools and approaches, and highlights ...
Orestis A. Ntintas, Sylvia Vagena, Pavlos Pantelis, Giorgos Theocharous, Russel Petty, Konstantinos Evangelou, Vassilis G. Gorgoulis   +6 more
wiley   +1 more source

Finite fields and cryptology [PDF]

Computer Science Journal of Moldova, 2003
The problem of a computationally feasible method of finding the discrete logarithm in a (large) finite field is discussed, presenting the main algorithms in this direction.
Ennio Cortellini
doaj  

On the Orders of the Elements of a Square Extension of a Finite Field of Characteristic 2

Современные информационные технологии и IT-образование, 2020
Let F(2m) will be an arbitrary finite field of characteristic 2. It’s square extension will be considered as an algebra with basiс elements 1 and e over the field F(2m).
Valery Maximov, Victoria Remezova
doaj   +1 more source

Functional Connectivity Linked to Cognitive Recovery After Minor Stroke

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Patients with minor stroke exhibit slowed processing speed and generalized alterations in functional connectivity involving frontoparietal cortex (FPC). The pattern of connectivity evolves over time. In this study, we examine the relationship of functional connectivity patterns to cognitive performance, to determine ...
Vrishab Commuri, Isabella Dallasta, Ciaran Stone, Sophia Girgenti, Neda Gould, Rafael H. Llinas, Jonathan Z. Simon, Elisabeth Breese Marsh   +7 more
wiley   +1 more source

On Matrix Representation of Extension Field GF(p^L) and Its Application in Vector Linear Network Coding

Entropy
For a finite field GF(pL) with prime p and L>1, one of the standard representations is L×L matrices over GF(p) so that the arithmetic of GF(pL) can be realized by the arithmetic among these matrices over GF(p). Based on the matrix representation of GF(pL)
Hanqi Tang, Heping Liu, Sheng Jin, Wenli Liu, Qifu Sun   +4 more
doaj   +1 more source

The number of rational points on a class of hypersurfaces in quadratic extensions of finite fields

Electronic Research Archive, 2023
Let $ q $ be an even prime power and let $ \mathbb{F}_{q} $ be the finite field of $ q $ elements. Let $ f $ be a nonzero polynomial over $ \mathbb{F}_{q^2} $ of the form $ f = a_{1}x_{1}^{m_{1}}+\dots+a_{s}x_{s}^{m_{s}}+y_{1}y_{2}+\dots+y_{n-1}y_{n}+y_ ...
Qinlong Chen , Wei Cao
doaj   +1 more source