Results 71 to 80 of about 1,230 (193)
Face Counting for Topological Hyperplane Arrangements
, 2023 Determining the number of pieces after cutting a cake is a classical problem. Roberts (1887) provided an exact solution by computing the number of chambers contained in a plane cut by lines.
Randriamaro, Hery
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Forum of Mathematics, SigmaThe present paper explores a connection between two concepts arising from different fields of mathematics. The first concept, called vine, is a graphical model for dependent random variables.
Hung Manh Tran +2 more
doaj +1 more source
Advanced Science, Volume 13, Issue 23, 23 April 2026.This review offers a comprehensive comparison between perovskites and perovskite‐inspired materials (PIMs), focusing on their crystal structures, electronic properties, and chemical compositions. It evaluates the applicability of machine learning (ML) descriptors and models across both material classes.
Yangfan Zhang +6 more
wiley +1 more source
Vanishing results for the cohomology of complex toric hyperplane complements [PDF]
Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus and ? = ?1(R). We show that H*(R;A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of ...
Simona Settepanella, Mike W. Davis
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Metamorphosis and lncRNAs: A Close Relationship
genesis, Volume 64, Issue 2, April 2026.ABSTRACT The classical definition of metamorphosis is a post‐embryonic transformation, such as from a tadpole to a froglet. However, recent studies suggest this process occurs to some degree in all vertebrates, as the underlying endocrine and molecular pathways are highly conserved. With the advent of high‐throughput sequencing, transcriptomic data for
H. Herrera‐Orozco +1 more
wiley +1 more source
The integer cohomology of toric Weyl arrangements [PDF]
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then ...
Simona Settepanella
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Noncommutative symmetric functions III: Deformations of Cauchy and convolution algebras
Discrete Mathematics & Theoretical Computer Science, 1997 This paper discusses various deformations of free associative algebras and of their convolution algebras. Our main examples are deformations of noncommutative symmetric functions related to families of idempotents in descent algebras, and a simple q-
Gérard H. E. Duchamp +3 more
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
q-algebras and arrangements of hyperplanes
Journal of Algebra, 2004 Varchenko's approach to quantum groups, from the theory of arrangements of hyperplanes, can be usefully applied to q-algebras in general, of which quantum groups and quantum (super) Kac-Moody algebras are special cases. New results are obtained on the classification of q-algebras, and of the Serre ideals of generalized quantum (super) Kac-Moody ...
openaire +3 more sources
The homotopy type of toric arrangements [PDF]
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex S homotopy equivalent to the arrangement complement ℜ x, with a combinatorial ...
Luca Moci, Simona Settepanella
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