Results 31 to 40 of about 11,854 (238)

Fourier series of functions involving higher-order ordered Bell polynomials

Open Mathematics, 2017
In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the ...
Kim Taekyun, Kim Dae San, Jang Gwan-Woo, Jang Lee Chae   +3 more
doaj   +1 more source

Bayer noise quasisymmetric functions and some combinatorial algebraic structures [PDF]

Categories and General Algebraic Structures with Applications
Recently, quasisymmetric functions have been widely studied due to their big connection to enumerative combinatorics, combinatorial Hopf algebra and number theory.
Adnan Abdulwahid
doaj   +1 more source

Tangency quantum cohomology and characteristic numbers

Anais da Academia Brasileira de Ciências, 2001
This work establishes a connection between gravitational quantum cohomology and enumerative geometry of rational curves (in a projective homogeneous variety) subject to conditions of infinitesimal nature like, for example, tangency.
JOACHIM KOCK
doaj   +1 more source

COMBINATORIAL ANALYSIS OF THE DOMINOES SCHEME AND THE CASE OF FIXED MINIMAL FIGURE ON A DOMINO TILE

Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2017
The dominoes scheme is defined as a scheme of random tiling with poliomino tiles with $r$ ends and $n$ figures from 0 to $(n-1)$ on the ends of tiles of all possible compositions with repetitions, regardless of their order.
Natalia Enatskaya
doaj   +1 more source

Unimodality Problems in Ehrhart Theory

, 2017
Ehrhart theory is the study of sequences recording the number of integer points in non-negative integral dilates of rational polytopes. For a given lattice polytope, this sequence is encoded in a finite vector called the Ehrhart $h^*$-vector. Ehrhart $h^*
A. Stapledon, Adam McCabe, Akihiro Higashitani, Alexander Postnikov, C. Bey, C. Haase, Carla D. Savage, Carla D. Savage, Christos A. Athanasiadis, E. Ehrhart, E. Katz, Federico Ardila, Francesco Brenti, H. Ohsugi, Hidefumi Ohsugi, I.M. Gelfand, Jan Schepers, Jeffrey C. Lagarias, Jesús A. De Loera, Jesús A. De Loera, Joseph Gubeladze, M. Beck, M. Hochster, M. Kreuzer, M. Mustaţǎ, Maria Chudnovsky, Matthias Beck, Matthias Beck, Matthias Beck, Matthias Beck, Mireille Bousquet-Mélou, Mordechai Katzman, Neil L. White, P. McMullen, R.P. Stanley, RICHARD P. STANLEY, Richard P. Stanley, S. Payne, T. Hibi, T. Hibi, Tadahito Harima, Takayuki Hibi, Takayuki Hibi, Thomas Lam, V.V. Batyrev, Winfried Bruns   +45 more
core   +1 more source

Asymmetric function theory

, 2019
The classical theory of symmetric functions has a central position in algebraic combinatorics, bridging aspects of representation theory, combinatorics, and enumerative geometry.
Allen Hatcher, Anders Skovsted Buch, Andrew Baker, B Yasmine, Bogdan Ion, C Lenart, Daniel Bump, David Anderson, E Dudley, Eric Opdam, Hugh Thomas, J Haglund, J Haglund, Masaki Kashiwara, Masaki Kashiwara, Masaki Kashiwara, Masaki Watanabe, Masaki Watanabe, Michiel Hazewinkel, N Ganter, Nantel Bergeron, Oliver Pechenik, Paul Bressler, Pavel Galashin, PN Norton, Rudolf Winkel, S Assaf, S Assaf, S Mason, Sara C Billey, Sergey Fomin, Thomas Hudson, V Reiner, Vasu V Tewari, W George, William Fulton, Witold Kraśkiewicz   +36 more
core   +1 more source

Some applications of Rees products of posets to equivariant gamma-positivity [PDF]

, 2019
The Rees product of partially ordered sets was introduced by Bj\"orner and Welker. Using the theory of lexicographic shellability, Linusson, Shareshian and Wachs proved formulas, of significance in the theory of gamma-positivity, for the dimension of the
Athanasiadis, Christos A.
core   +3 more sources

A note on statistical averages for oscillating tableaux [PDF]

, 2014
We define a statistic called the weight of oscillating tableaux. Oscillating tableaux, a generalization of standard Young tableaux, are certain walks in Young's lattice of partitions.
Hopkins, Sam, Zhang, Ingrid
core   +2 more sources

The Role of Dice in the Emergence of the Probability Calculus

International Statistical Review, EarlyView.
Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
wiley   +1 more source

New directions in enumerative chess problems [PDF]

, 2005
Normally a chess problem must have a unique solution, and is deemed unsound even if there are alternatives that differ only in the order in which the same moves are played.
Elkies, Noam D.
core   +1 more source