[图书][B] Commutation relations, normal ordering, and Stirling numbers
Commutation Relations, Normal Ordering, and Stirling Numbers Page 1 Commutation
Relations, Normal Ordering, and Stirling Numbers Toufik Mansour • Matthias Schork Mansour • …
Relations, Normal Ordering, and Stirling Numbers Toufik Mansour • Matthias Schork Mansour • …
Fractality in resistive circuits: the Fibonacci resistor networks
We propose two new kinds of infinite resistor networks based on the Fibonacci sequence: a
serial association of resistor sets connected in parallel (type 1) or a parallel association of …
serial association of resistor sets connected in parallel (type 1) or a parallel association of …
[PDF][PDF] Carlitz's Identity for the Bernoulli Numbers and Zeon Algebra.
AF Neto, EM DEPRO - J. Integer Seq., 2015 - emis.de
In this work we provide a new short proof of Carlitz's identity for the Bernoulli numbers. Our
approach is based on the ordinary generating function for the Bernoulli numbers and a …
approach is based on the ordinary generating function for the Bernoulli numbers and a …
Zeon roots
LM Dollar, GS Staples - Advances in Applied Clifford Algebras, 2017 - Springer
Zeon algebras can be thought of as commutative analogues of fermion algebras, and they
can be constructed as subalgebras within Clifford algebras of appropriate signature. Their …
can be constructed as subalgebras within Clifford algebras of appropriate signature. Their …
Matrix analysis and Omega calculus
AF Neto - SIAM Review, 2020 - SIAM
In this work we introduce a new operator based approach to matrix analysis. Our main
technical tool comprises an extension of a tool introduced long ago by MacMahon to …
technical tool comprises an extension of a tool introduced long ago by MacMahon to …
[PDF][PDF] A note on a theorem of Guo, Mezo, and Qi
AF Neto, EM DEPRO - J. Integer Seq, 2016 - emis.de
In a recent paper, Guo, Mezo, and Qi proved an identity representing the Bernoulli
polynomials at non-negative integer points m in terms of the m-Stirling numbers of the …
polynomials at non-negative integer points m in terms of the m-Stirling numbers of the …
Elementary functions and factorizations of zeons
GS Staples, A Weygandt - Advances in Applied Clifford Algebras, 2018 - Springer
Algebraic properties of zeons are considered, including the existence of elementary
factorizations and homogeneous factorizations of invertible zeons. A “zeon division …
factorizations and homogeneous factorizations of invertible zeons. A “zeon division …
An approach via generating functions to compute power indices of multiple weighted voting games with incompatible players
A Francisco Neto, CR Fonseca - Annals of Operations Research, 2019 - Springer
We introduce a new generating function based method to compute the Banzhaf, Deegan–
Packel, Public Good (aka the Holler power index) and Shapley–Shubik power indices in the …
Packel, Public Good (aka the Holler power index) and Shapley–Shubik power indices in the …
Zeon matrix inverses and the zeon combinatorial Laplacian
GS Staples - Advances in Applied Clifford Algebras, 2021 - Springer
In this paper, inverses of matrices over zeon algebras are discussed and methods of
computation are presented. As motivation the zeon combinatorial Laplacian of a simple finite …
computation are presented. As motivation the zeon combinatorial Laplacian of a simple finite …
Zeons, orthozeons, and graph colorings
GS Staples, T Stellhorn - Advances in Applied Clifford Algebras, 2017 - Springer
Nilpotent adjacency matrix methods have proven useful for counting self-avoiding walks
(paths, trails, cycles, and circuits) in finite graphs. In the current work, these methods are …
(paths, trails, cycles, and circuits) in finite graphs. In the current work, these methods are …