Results 1 to 10 of about 6,919,485 (295)
Total positivity for cominuscule Grassmannians [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 In this paper we explore the combinatorics of the non-negative part $(G/P)_{\geq 0}$ of a cominuscule Grassmannian. For each such Grassmannian we define Le-diagrams ― certain fillings of generalized Young diagrams which are in bijection with the cells of
Thomas Lam, Lauren Williams
doaj +6 more sources
Total positivity for the Lagrangian Grassmannian [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The positroid decomposition of the Grassmannian refines the well-known Schubert decomposition, and has a rich combinatorial structure. There are a number of interesting combinatorial posets which index positroid varieties,just as Young diagrams index ...
Rachel Karpman
doaj +6 more sources
Reliability Properties of the NDL Family of Discrete Distributions with Its Inference
Mathematics, 2021 The natural discrete Lindley (NDL) distribution is an intuitive idea that uses discrete analogs to well-known continuous distributions rather than using any of the published discretization techniques. The NDL is a flexible extension of both the geometric
Mohammed Mohammed Ahmed Almazah +3 more
doaj +1 more source
Green Matrices, Minors and Hadamard Products
Axioms, 2023 Green matrices are interpreted as discrete version of Green functions and are used when working with inhomogeneous linear system of differential equations.
Jorge Delgado +2 more
doaj +1 more source
On Plücker coordinates of a perfectly oriented planar network [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Let $G$ be a perfectly oriented planar graph. Postnikov's boundary measurement construction provides a rational map from the set of positive weight functions on the edges of $G$ onto the appropriate totally nonnegative Grassmann cell.
Kelli Talaska
doaj +1 more source
A Generalized Quasi Cubic Trigonometric Bernstein Basis Functions and Its B-Spline Form
Mathematics, 2021 In this paper, under the framework of Extended Chebyshev space, four new generalized quasi cubic trigonometric Bernstein basis functions with two shape functions α(t) and β(t) are constructed in a generalized quasi cubic trigonometric space span{1,sin2t,(
Yunyi Fu, Yuanpeng Zhu
doaj +1 more source
Combinatorics of Positroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Recently Postnikov gave a combinatorial description of the cells in a totally-nonnegative Grassmannian. These cells correspond to a special class of matroids called positroids.
Suho Oh
doaj +1 more source
Sign variation, the Grassmannian, and total positivity [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The totally nonnegative Grassmannian is the set of $k$-dimensional subspaces $V$ of ℝ$n$ whose nonzero Plücker coordinates (i.e. $k × k$ minors of a $k × n$ matrix whose rows span $V$) all have the same sign.
Steven N. Karp
doaj +1 more source
On the Total Positivity and Accurate Computations of r-Bell Polynomial Bases
Axioms, 2023 A new class of matrices defined in terms of r-Stirling numbers is introduced. These r-Stirling matrices are totally positive and determine the linear transformation between monomial and r-Bell polynomial bases.
Esmeralda Mainar +2 more
doaj +1 more source
Association between Inhaled Corticosteroid Use and SARS-CoV-2 Infection: A Nationwide Population-Based Study in South Korea [PDF]
Tuberculosis and Respiratory Diseases, 2022 Background Although it is known that inhaled corticosteroid (ICS) use may increase the risk of respiratory infection, its influence on the risk of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) infection remains unknown.
Sang Chul Lee +4 more
doaj +1 more source