Results 21 to 30 of about 385,134 (275)

Parametrization of Algebraic Points of Low Degrees on the Schaeffer Curve

open access: yesJournal of Mathematical Sciences and Modelling, 2021
In this paper, we give a parametrization of algebraic points of degree at most $4$ over $\mathbb{Q}$ on the schaeffer curve $\mathcal{C}$ of affine equation : $ y^{2}=x^{5}+1 $. The result extends our previous result which describes in [5] ( Afr.
Moussa Fall
doaj   +1 more source

Creation of Problems by Prospective Teachers to Develop Proportional and Algebraic Reasonings in a Probabilistic Context

open access: yesEducation Sciences, 2023
To promote optimal learning in their students, mathematics teachers must be proficient in problem posing, making this skill a cornerstone in teacher training programs.
Nicolás Tizón-Escamilla, María Burgos
doaj   +1 more source

Degree of the Product of Two Algebraic Numbers One of Which Is of Prime Degree

open access: yesMathematics, 2023
Let α and β be two algebraic numbers such that deg(α)=m and deg(β)=p, where p is a prime number not dividing m. This research is focused on the following two objectives: to discover new conditions under which deg(αβ)=mp; to determine the complete list of
Paulius Virbalas
doaj   +1 more source

New Constructions of balanced Boolean functions with maximum algebraic immunity, high nonlinearity and optimal algebraic degree

open access: yesWalailak Journal of Science and Technology, 2019
This paper consists of proposal of two constructions of balanced Boolean functions by using powers of primitive elements ...
Dheeraj Kumar Sharma, Rajoo Pandey
doaj   +1 more source

Good Codes From Generalised Algebraic Geometry Codes [PDF]

open access: yes, 2010
Algebraic geometry codes or Goppa codes are defined with places of degree one. In constructing generalised algebraic geometry codes places of higher degree are used.
Ahmed, Mohammed Zaki   +3 more
core   +3 more sources

Differential Equations for Algebraic Functions [PDF]

open access: yes, 2007
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions.
Bostan, Alin   +4 more
core   +9 more sources

Algorithmic Degrees of Algebraic Structures

open access: yesFundamenta Informaticae, 1981
We define a reducibility relation ⩽ between algebraic structures A ⩽ B means that A can be embeddet in an enrichment of B with partial computable operations. This notion is a generalized version of implementability as known in the theory of algebraic data types.
Bergstra, J.A., Tiuryn, J.
openaire   +2 more sources

Constructing Odd-Variable Rotation Symmetric Boolean Functions With Optimal AI and Higher Nonlinearity

open access: yesIEEE Access, 2019
As a part of the field of cryptography, rotation symmetric Boolean functions have rich cryptographic significance. In this paper, based on the knowledge of integer compositions, we present a new construction of odd-variable rotation symmetric Boolean ...
Yindong Chen   +3 more
doaj   +1 more source

Point counting for foliations over number fields

open access: yesForum of Mathematics, Pi, 2022
Let${\mathbb M}$ be an affine variety equipped with a foliation, both defined over a number field ${\mathbb K}$. For an algebraic $V\subset {\mathbb M}$ over ${\mathbb K}$, write $\delta _{V}$ for the maximum of the degree and log-height of V.
Gal Binyamini
doaj   +1 more source

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