Results 31 to 40 of about 47,929 (192)

Electronic Fourier–Galois Spectrum Analyzer for the Field GF(31)

Applied Sciences
A scheme for the Fourier–Galois spectrum analyzer for the field GF(31) is proposed. It is shown that this analyzer allows for solving a wide enough range of problems related to image processing, in particular those arising in the course of experimental ...
Kaisarali Kadyrzhan, Daulet Kaldybekov, Saltanat Baipakbaeva, Yelizaveta Vitulyova, Dinara Matrassulova, Ibragim Suleimenov   +5 more
doaj   +1 more source

Finding Minimum‐Cost Explanations for Predictions Made by Tree Ensembles

Software: Practice and Experience, EarlyView.
ABSTRACT The ability to reliably explain why a machine learning model arrives at a particular prediction is crucial when used as decision support by human operators of critical systems. The provided explanations must be provably correct, and preferably without redundant information, called minimal explanations.
John Törnblom, Emil Karlsson, Simin Nadjm‐Tehrani   +2 more
wiley   +1 more source

On Hopf Galois Hirata extensions

International Journal of Mathematics and Mathematical Sciences, 2003
Let H be a finite-dimensional Hopf algebra over a field K, H* the dual Hopf algebra of H, and B a right H*-Galois and Hirata separable extension of BH. Then B is characterized in terms of the commutator subring VB(BH) of BH in B and the smash product VB ...
George Szeto, Lianyong Xue
doaj   +1 more source

Triple Massey products vanish over all fields

, 2016
We show that the absolute Galois group of any field has the vanishing triple Massey product property. Several corollaries for the structure of maximal pro-$p$-quotient of absolute Galois groups are deduced.
Minac, Jan, Tan, Nguyen Duy
core   +1 more source

An Innovative Approach to Multi‐Valued Logic

IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.
The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley   +1 more source

Spin and Rotations in Galois Field Quantum Mechanics

, 2013
We discuss the properties of Galois Field Quantum Mechanics constructed on a vector space over the finite Galois field GF(q). In particular, we look at 2-level systems analogous to spin, and discuss how SO(3) rotations could be embodied in such a system.
Arnold V I, Ashtekar A Schilling T A, Ball S Weiner Z, Bell J S, Bell J S, Chang L N, Chang L N Lewis Z Minic D Takeuchi T, Chang L N Lewis Z Minic D Takeuchi T, Chang L N Lewis Z Minic D Takeuchi T, Djordje Minic, Finkelstein D R, For a pioneering discussion of quantum field theory over Galois fields consult Nambu Y, Greenberger D M, Hamermesh M, Hirschfeld J W P, James R P Ortiz G Sabry A, Lay Nam Chang, Minic M Tze C H, Schumacher B Westmoreland M D, Tatsu Takeuchi, Vourdas A, Vourdas A, Zachary Lewis   +22 more
core   +1 more source

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Wild conductor exponents of curves

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley   +1 more source

A novel, efficient CNTFET Galois design as a basic ternary-valued logic field

Nanotechnology, Science and Applications, 2012
Peiman Keshavarzian1, Mahla Mohammad Mirzaee21Kerman Branch, Computer Engineering Department, Islamic Azad University, Kerman, Iran; 2Science and Research Branch, Computer Engineering Department, IA University, Kerman, IranAbstract: This paper presents ...
Keshavarzian P, Mirzaee MM
doaj  

Coincidence of two Swan conductors of abelian characters [PDF]

Épijournal de Géométrie Algébrique, 2019
There are two ways to define the Swan conductor of an abelian character of the absolute Galois group of a complete discrete valuation field. We prove that these two Swan conductors coincide.
Kazuya Kato, Takeshi Saito
doaj   +1 more source