Results 21 to 30 of about 1,829,388 (272)

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

Exceptional planar polynomials [PDF]

, 2014
Planar functions are special functions from a finite field to itself that give rise to finite projective planes and other combinatorial objects. We consider polynomials over a finite field $K$ that induce planar functions on infinitely many extensions of
Caullery, Florian, Schmidt, Kai-Uwe, Zhou, Yue   +2 more
core   +1 more source

Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields

Special Matrices, 2021
The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix B ∈ 𝔽n×n is defined as ℓ1ℓ2· · · ℓn, where ℓj ∈ {A, S, N} according to whether all, some but not all, or none of the principal minors of order j of B are nonzero ...
Dukes Peter J., Martínez-Rivera Xavier
doaj   +1 more source

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

Medley in finite temperature field theory

, 1993
I discuss three subjects in thermal field theory: why in \sun gauge theories the \zn symmetry is broken at high (instead of low) temperature, the possible singularity structure of gauge variant propagators, and the problem of how to compute the viscosity
Pisarski, R. D.
core   +1 more source

Neutrix Calculus and Finite Quantum Field Theory [PDF]

, 2005
In general, quantum field theories (QFT) require regularizations and infinite renormalizations due to ultraviolet divergences in their loop calculations.
Bender C M, Cheng T P, H van Dam, Jauch J M, Ng Y J van Dam H, Peskin M E, Schwinger J, van der Corput J G, van der Corput J G, van der Corput J G, Veltman M J G, Weinberg S, Y Jack Ng   +12 more
core   +3 more sources

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

Construction of Nonlinear Component of Block Cipher by Action of Modular Group PSL(2, Z) on Projective Line PL(GF(2⁸))

IEEE Access, 2020
Substitution box (S-Box) has a prominent significance being the fundamental nonlinear component of block cipher which fulfils confusion, one of the properties proposed by Claude Shannon in 1949.
Wei Gao, Bazgha Idrees, Sohail Zafar, Tabasam Rashid   +3 more
doaj   +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

Normal‐Appearing White Matter Injury Mediates Chronic Deep Venous Hypoxia and Disease Progression in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang, Huiying Wang, Zhizheng Zhuo, Ai Guo, Ke Lv, Decai Tian, Chao Chai, Yunyun Duan, Shuang Xia   +8 more
wiley   +1 more source