Results 31 to 40 of about 385,134 (275)
Degree and class of caustics by reflection for a generic source [PDF]
, 2013 We are interested in the study of caustics by reflection of irreducible algebraic planar curves (in the complex projective plane). We prove the birationality of the caustic map (for a generic light position).
Josse, Alfrederic, Pene, Francoise
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Algebraic Degrees of 3-Dimensional Polytopes
Vietnam Journal of Mathematics, 2022 AbstractResults of Koebe (Ber. Sächs. Akad. Wiss. Leipzig, Math.-phys. Kl. 88, 141–164, 1936), Schramm (Invent. Math. 107(3), 543560, 1992), and Springborn (Math. Z. 249, 513–517, 2005) yield realizations of 3-polytopes with edges tangent to the unit sphere. Here we study the algebraic degrees of such realizations.
Mara Belotti +2 more
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On the Generalization of Butterfly Structure
IACR Transactions on Symmetric Cryptology, 2018 Butterfly structure was proposed in CRYPTO 2016 [PUB16], and it can generate permutations ...
Yongqiang Li +3 more
doaj +1 more source
Constructing Higher Nonlinear Odd-Variable RSBFs With Optimal AI and Almost Optimal FAI
IEEE Access, 2019 Rotation symmetric Boolean functions (RSBFs) are nowadays studied a lot because of its easy operations and good performance in cryptosystem. This paper constructs a new class of odd-variable RSBFs with optimal algebraic immunity (AI). The nonlinearity of
Yindong Chen +5 more
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Lower bounds on the class number of algebraic function fields defined over any finite field [PDF]
, 2011 We give lower bounds on the number of effective divisors of degree $\leq g-1$ with respect to the number of places of certain degrees of an algebraic function field of genus $g$ defined over a finite field.
Ballet, Stéphane, Rolland, Robert
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ALGEBRAIC DEGREE OF SERIES OF RECIPROCAL ALGEBRAIC INTEGERS
Rocky Mountain Journal of Mathematics, 2023 15 ...
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Flexible algebras of degree two [PDF]
Transactions of the American Mathematical Society, 1972 All known examples of simple flexible power-associative algebras of degree two are either commutative or noncommutative Jordan. In this paper we construct an algebra which is partially stable but not commutative and not a noncommutative Jordan algebra. We then investigate the multiplicative structure of those algebras which are partially stable over an
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On a class of invariant algebraic curves for Kukles systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we give a new upper bound for the degree of a class of transversal to infinity invariant algebraic curves for polynomial Kukles systems of arbitrary degree.
Osvaldo Osuna +2 more
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Topological fractal networks introduced by mixed degree distribution [PDF]
, 2006 Several fundamental properties of real complex networks, such as the small-world effect, the scale-free degree distribution, and recently discovered topological fractal structure, have presented the possibility of a unique growth mechanism and allow for ...
Albert +33 more
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Generic planar algebraic vector fields are disintegrated
, 2020 In this article, we study model-theoretic properties of algebraic differential equations of order $2$, defined over constant differential fields. In particular, we show that the set of solutions of a general differential equation of order $2$ and of ...
Jaoui, Rémi
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