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In the second part of the work, we derive some results valid for slice regular functions over finite- dimensional division algebras, which had not been proven with the original
The proofs of Lemma 15, Lemma 16 and the corresponding greedy-type heuristic suggest that weighted rep- resentations where all minimal winning coalitions have the same weight,
Providing a topological perspective on the MacWilliams property, we also show that the finitary left socle of a left Artinian ring embeds into the semisimple quotient if and only if
Finally, using our recent systematic study of the ternary block codes of Steiner triple systems, we obtain analogous results for the ternary case, that is, for STS(3 n ) with 3-rank
Our main Theorem 1.1 shows under the assumption that the product of the density and the metric factor is even- tually log-convex that, for large volumes, if the component farthest
The aim of this work is to reveal properties of the classical Jacobi theta functions looked at on a logarithmic scale as well as setting known results into a new context..
As it is known [6, 7], the boundary value prob- lem for the Coulomb spheroidal equation on the interval [1 , ∞ ) appears in the quantum problem of two Coulomb centers (problem Z 1 eZ
As an application of Theorem 3.1, we provide the existence of Itˆ o c` adl` ag rough paths above general semimartingales (possibly perturbed by paths of finite q -variation),