Results 41 to 50 of about 293,918 (162)

An extension of Buchberger's criteria for Groebner basis decision

open access: yes, 2009
Two fundamental questions in the theory of Groebner bases are decision ("Is a basis G of a polynomial ideal a Groebner basis?") and transformation ("If it is not, how do we transform it into a Groebner basis?") This paper considers the first question. It
Adams   +10 more
core   +1 more source

An application of results by Hardy, Ramanujan and Karamata to Ackermannian functions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2003
The Ackermann function is a fascinating and well studied paradigm for a function which eventually dominates all primitive recursive functions. By a classical result from the theory of recursive functions it is known that the Ackermann function can be
Andreas Weiermann
doaj   +2 more sources

A Spectral Method Based on Hahn Polynomials for Numerical Solution of Fractional Integro-Differential Equations with Weakly Singular Kernel

open access: yesپژوهش‌های ریاضی, 2020
Introduction Despite wide applications of constant order fractional derivatives, some systems require the use of derivatives whose order changes with respect to other parameters.
Farideh Salehi   +2 more
doaj  

On topological properties of block shift and hierarchical hypercube networks

open access: yesOpen Physics, 2018
Networks play an important role in electrical and electronic engineering. It depends on what area of electrical and electronic engineering, for example there is a lot more abstract mathematics in communication theory and signal processing and networking ...
Guirao Juan Luis García   +2 more
doaj   +1 more source

Torus HOMFLY as the Hall-Littlewood Polynomials

open access: yes, 2012
We show that the HOMFLY polynomials for torus knots T[m,n] in all fundamental representations are equal to the Hall-Littlewood polynomials in representation which depends on m, and with quantum parameter, which depends on n.
Mironov, A., Morozov, A., Shakirov, Sh.
core   +1 more source

Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory

open access: yesEMS Surveys in Mathematical Sciences, 2014
Arithmetic combinatorics is often concerned with the problem of controlling the possible range of behaviours of arbitrary finite sets in a group or ring with respect to arithmetic operations such as addition or multiplication. Similarly, combinatorial geometry is often concerned with the problem of controlling the possible range of
openaire   +3 more sources

Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems

open access: yesJournal of Chemistry, 2020
In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound.
Zhong-Lin Cheng   +4 more
doaj   +1 more source

Unification of the Nature’s Complexities via a Matrix Permanent—Critical Phenomena, Fractals, Quantum Computing, ♯P-Complexity

open access: yesEntropy, 2020
We reveal the analytic relations between a matrix permanent and major nature’s complexities manifested in critical phenomena, fractal structures and chaos, quantum information processes in many-body physics, number-theoretic complexity in ...
Vitaly Kocharovsky   +2 more
doaj   +1 more source

An Algebraic Perspective on Multivariate Tight Wavelet Frames. II

open access: yes, 2013
Continuing our recent work we study polynomial masks of multivariate tight wavelet frames from two additional and complementary points of view: convexity and system theory.
Charina, Maria   +3 more
core   +1 more source

Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination [PDF]

open access: yesLogical Methods in Computer Science, 2012
This paper describes a formalization of discrete real closed fields in the Coq proof assistant. This abstract structure captures for instance the theory of real algebraic numbers, a decidable subset of real numbers with good algorithmic properties.
Assia Mahboubi, Cyril Cohen
doaj   +1 more source

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