Results 11 to 20 of about 385,070 (322)
The bottleneck degree of algebraic varieties [PDF]
SIAM Journal on Applied Algebra and Geometry, 2019 A bottleneck of a smooth algebraic variety $X \subset \mathbb{C}^n$ is a pair of distinct points $(x,y) \in X$ such that the Euclidean normal spaces at $x$ and $y$ contain the line spanned by $x$ and $y$.
Di Rocco, Sandra +2 more
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Real algebraic knots of low degree [PDF]
Journal of Knot Theory and Its Ramifications, 2011 In this paper we study rational real algebraic knots in $\R P^3$. We show that two real algebraic knots of degree $\leq5$ are rigidly isotopic if and only if their degrees and encomplexed writhes are equal.
Drobotukhina Yu. V. +3 more
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THE MULTIPLICATION ALGEBRA OF WEIGHTED ALGEBRAS OF DEGREE 4
Communications in Algebra, 2002 ABSTRACT In a previous paper,[8] the authors show that there are two main classes of commutative baric -algebras satisfying an equation of the form , where are scalars in the base field . They appear as references (1) and (2) in the body of this paper. Some properties of these classes of algebras are also established in that paper.
Costa, R, Suazo, A
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Homogeneous Algebraic Varieties and Transitivity Degree [PDF]
Proceedings of the Steklov Institute of Mathematics, 2022 Let $X$ be an algebraic variety such that the group $\text{Aut}(X)$ acts on $X$ transitively. We define the transitivity degree of $X$ as a maximal number $m$ such that the action of $\text{Aut}(X)$ on $X$ is $m$-transitive. If the action of $\text{Aut}(X)$ is $m$-transitive for all $m$, the transitivity degree is infinite.
Arzhantsev, Ivan V. +2 more
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Influence of the Linear Layer on the Algebraic Degree in SP-Networks
IACR Transactions on Symmetric Cryptology, 2022 We consider SPN schemes, i.e., schemes whose non-linear layer is defined as the parallel application of t ≥ 1 independent S-Boxes over F2n and whose linear layer is defined by the multiplication with a (n · t) × (n · t) matrix over F2.
Carlos Cid +5 more
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On the Degree of Product of Two Algebraic Numbers
Mathematics, 2023 A triplet (a,b,c) of positive integers is said to be product-feasible if there exist algebraic numbers α, β and γ of degrees (over Q) a, b and c, respectively, such that αβγ=1.
Lukas Maciulevičius
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Composition algebras of degree two [PDF]
Proceedings of the Edinburgh Mathematical Society, 1999 Composition algebras in which the subalgebra generated by any element has dimension at most two are classified over fields of characteristic ≠2,3. They include, besides the classical unital composition algebras, some closely related algebras and all the composition algebras with invariant quadratic norm.
Elduque, A., Pérez-Izquierdo, J.M.
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Parametrization of Algebraic Points of Low Degrees on the Schaeffer Curve
Journal 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
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Education 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
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Degree of the Product of Two Algebraic Numbers One of Which Is of Prime Degree
Mathematics, 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
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