Trigonometric identities.
Trivecteurs de rang 6
Two and Three-Dimensional Art Inspired by Polynomiography
Two applications of a bound on the Hadamard product with a Cauchy matrix.
Two characterizations of inverse-positive matrices: the Hawkins-Simon condition and the Le Chatelier-Braun principle.
Two Examples of the Bass-Quillen-Suslin Conjectures.
Two models for contraction operators. (Deux modèles pour les opérateurs de contraction.)
Two Non-Negative Quadratic Forms.
Two point sets with additional properties
A subset of the plane is called a two point set if it intersects any line in exactly two points. We give constructions of two point sets possessing some additional properties. Among these properties we consider: being a Hamel base, belonging to some -ideal, being (completely) nonmeasurable with respect to different -ideals, being a -covering. We also give examples of properties that are not satisfied by any two point set: being Luzin, Sierpiński and Bernstein set. We also consider natural generalizations...
Two problems related to the non-vanishing of
We study two rather different problems, one arising from Diophantine geometry and one arising from Fourier analysis, which lead to very similar questions, namely to the study of the ranks of matrices with entries either zero or , where denotes the “centered” fractional part of . These ranks, in turn, are closely connected with the non-vanishing of the Dirichlet -functions at .
Two-sided approximations of inverses, square roots and Cholesky factors
Two-station queueing networks with moving servers, blocking, and customer loss.
Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory.
Two-step Ulm-Chebyshev-like method for inverse singular value problems with multiple singular values
We study the convergence of two-step Ulm-Chebyshev-like method for solving the inverse singular value problems. We focus on the case when the given singular values are positive and multiple. This work extends the result of W. Ma (2022). We show that the new method is cubically convergent. Moreover, numerical experiments are given in the last section, which show that the proposed method is practical and efficient.