Results 51 to 60 of about 352 (164)
It is argued that if the population of options is a finite poset, diversity comparisons may be conveniently based on widths i.e. on the respective maximum numbers of pairwise incomparable options included in the relevant subposets.
Marcello Basili, Stefano Vannucci
core
The Polyhedral Geometry of Partially Ordered Sets [PDF]
, 2017 Pairs of polyhedra connected by a piecewise-linear bijection appear in different fields of mathematics. The model example of this situation are the order and chain polytopes introduced by Stanley in, whose defining inequalities are given by a finite ...
Pegel, Christoph
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Log-concavity in Combinatorics
, 2023 In this thesis we survey some of the mechanisms used to prove that naturally defined sequences in combinatorics are log-concave. Among these mechanisms are Alexandrov's inequality for mixed discriminants, Alexandrov's Fenchel inequality for mixed volumes,
Yan, Alan
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Sections and projections of the outer and inner regularizations of a convex body
Mathematika, Volume 72, Issue 3, July 2026.Abstract We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its inner and outer regularizations. We also provide functional extensions of these inequalities to the setting of log‐concave functions. Our approach relies on the recent
Natalia Tziotziou
wiley +1 more source
, 2005 Applications of algebra to combinatorics and conversely. Topics include enumeration methods, partially ordered sets and lattices, matching theory, partitions and tableaux, algebraic graph theory, and combinatorics of ...
Postnikov, Alexander
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On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
On Sums Over Partially Ordered Sets
, 1999 We establish a general theorem for reducing sums of type # y#x g(y) where g is a mapping from a partially ordered set into an abelian group. Conclusions concern the Mobius function, the principle of inclusionexclusion, the Tutte polynomial and ...
Klaus Dohmen
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Seniority‐Zero Quadratic Canonical Transformation Theory
International Journal of Quantum Chemistry, Volume 126, Issue 12, June 15, 2026.We construct a unitary transformation of electronic Hamiltonians using quadratic canonical transformation theory, choosing the transformation to minimize the non‐seniority‐zero elements of the transformed Hamiltonian. This allows us to add dynamic correlation to the static correlation inherent in orbital‐optimized doubly‐occupied (seniority‐zero ...
Daniel F. Calero‐Osorio, Paul W. Ayers
wiley +1 more source
On dots in boxes, or Permutation pattern classes and regular languages
, 2015 This thesis investigates permutation pattern classes in a language theoretic context. Specifically we explored the regularity of sets of permutations under the rank encoding. We found that the subsets of plus- and minus-(in)decomposable permutations of
Hoffmann, Ruth
core
International Journal of Applied Psychoanalytic Studies, Volume 23, Issue 2, June 2026.ABSTRACT This article offers a theoretical analysis, grounded in a critical narrative review within the Freudian‐Lacanian tradition, of how platform algorithms shape contemporary forms of subjectivity and raise new questions for psychoanalytic practice.
Mariana Salles Kehl, Heloisa Caldas
wiley +1 more source