Results 11 to 20 of about 1,385 (101)

Throughput analysis for a high-performance FPGA-accelerated real-time search application [PDF]

open access: yes, 2012
We propose an FPGA design for the relevancy computation part of a high-throughput real-time search application. The application matches terms in a stream of documents against a static profile, held in off-chip memory.
Chalamalasetti, S.R.   +2 more
core   +3 more sources

Wick's theorem for q-deformed boson operators [PDF]

open access: yes, 2007
In this paper combinatorial aspects of normal ordering arbitrary words in the creation and annihilation operators of the q-deformed boson are discussed.
Anshelevich M   +13 more
core   +2 more sources

Partitions of Matrix Spaces With an Application to $q$-Rook Polynomials

open access: yes, 2019
We study the row-space partition and the pivot partition on the matrix space $\mathbb{F}_q^{n \times m}$. We show that both these partitions are reflexive and that the row-space partition is self-dual.
Gluesing-Luerssen, Heide   +1 more
core   +1 more source

Type B (p, q)-Stirling Numbers via Signed Restricted Growth Functions and Rook Theory

open access: yesMathematics
Stirling numbers are among the most classical objects in enumerative combinatorics, counting set partitions and permutations. In this paper, we study their (p,q)-analogues in type B from a rook-theoretic point of view. We introduce a type B Ferrers board
Hasan Arslan   +3 more
doaj   +1 more source

Elliptic rook and file numbers [PDF]

open access: yes, 2016
Utilizing elliptic weights, we construct an elliptic analogue of rook numbers for Ferrers boards. Our elliptic rook numbers generalize Garsia and Remmel's q-rook numbers by two additional independent parameters a and b, and a nome p.
Schlosser, Michael J., Yoo, Meesue
core   +1 more source

Rook placements and Jordan forms of upper-triangular nilpotent matrices [PDF]

open access: yes, 2017
The set of n by n upper-triangular nilpotent matrices with entries in a finite field F_q has Jordan canonical forms indexed by partitions lambda of n.
Yip, Martha
core   +2 more sources

Two Vignettes On Full Rook Placements [PDF]

open access: yes, 2013
Using bijections between pattern-avoiding permutations and certain full rook placements on Ferrers boards, we give short proofs of two enumerative results.
Bloom, Jonathan, Vatter, Vince
core  

Basic hypergeometric summations from rook theory

open access: yes, 2016
We employ a one-variable extension of q-rook theory to give combinatorial proofs of some basic hypergeometric summations, including the q-Pfaff-Saalsch\"utz summation and a 4phi3 summation by Jain.Comment: 12 ...
Schlosser, Michael J., Yoo, Meesue
core   +1 more source

Bruhat intervals as rooks on skew Ferrers boards

open access: yesJournal of Combinatorial Theory, Series A, 2007
16 pages, 9 ...
openaire   +2 more sources

Normal Order: Combinatorial Graphs

open access: yes, 2003
A conventional context for supersymmetric problems arises when we consider systems containing both boson and fermion operators. In this note we consider the normal ordering problem for a string of such operators.
Blasiak, Pawel   +4 more
core   +2 more sources

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