Results 61 to 70 of about 2,059 (204)

A Note on Truncated Exponential-Based Appell Polynomials via Fractional Operators

Axioms
In this work, we construct a new class of Appell-type polynomials generated through extended truncated and truncated exponential kernels, and we analyze their core algebraic and operational features.
Waseem Ahmad Khan, Francesco Aldo Costabile, Khidir Shaib Mohamed, Alawia Adam, Shahid Ahmad Wani   +4 more
doaj   +1 more source

Symbolic Computation: Recent Progress and New Frontiers [PDF]

, 2002
Colloque sur invitation. internationale.International audienceSymbolic computation and computer algebra systems are usually known to be either very slow, or memory expensive.
Zimmermann, Paul
core  

Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]

, 2010
We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg, Erich L. Kaltofen, Buchberger, Bruno, Rosenkranz, Markus, Tec, Loredana   +4 more
core   +1 more source

Structural features of algebraic quantum notations

Physical Review Special Topics. Physics Education Research, 2015
[This paper is part of the Focused Collection on Upper Division Physics Courses.] The formalism of quantum mechanics includes a rich collection of representations for describing quantum systems, including functions, graphs, matrices, histograms of ...
Elizabeth Gire, Edward Price
doaj   +1 more source

Algebraic Curve Interpolation for Intervals via Symbolic-Numeric Computation [PDF]

Algebraic curve interpolation is described by specifying the location of N points in the plane and constructing an algebraic curve of a function f that should pass through them.
Yang, Zhengfeng, Xu, Yaochen, Zeng, Zhenbing, Peng, Chao, Dehbi, Lydia   +4 more
core   +2 more sources

Emergence of periodic soliton patterns in the time-fractional Hodgkin–Huxley model arising in modern neuroscience

Scientific Reports
The time-fractional Hodgkin-Huxley Model (tfHHM) with Katugampola Fractional Derivatives (KFDs) is the main subject of the current study. This model was developed in modern neuroscience that imitate the way action potentials move along the giant axon in ...
Yousef Jawarneh, Safyan Mukhtar, Safiqul Islam, Yaouba Amadou   +3 more
doaj   +1 more source

Symbolic computation and signal processing [PDF]

, 2008
Many problems in digital signal processing can be converted to algebraic problems over polynomial and Laurent polynomial rings, and can be solved using the existing methods of algebraic and symbolic computation.
Hyungju Park
core  

Innovative approache for the nonlinear atangana conformable Klein-Gordon equation unveiling traveling wave patterns

Partial Differential Equations in Applied Mathematics
The aim of current work is to establish novel traveling wave solutions of the nonlinear Atangana conformable Klein - Gordon equation using a new extended direct algebraic technique. The Klein - Gordon equation is the relativistic state of the Schrödinger
Hadi Rezazadeh, Mohammad Ali Hosseinzadeh, Lahib Ibrahim Zaidan, Fatima SD. Awad, Fiza Batool, Soheil Salahshour   +5 more
doaj   +1 more source

Symbolic Algebraic Computation as a Way for Modeling Kinematical Tasks Themselves [PDF]

, 2003
The paper introduces the symbolic algebraic computational capability of Surface Constructor, a software tool for gear investigation. Use of symbolic expressions in the kinematical model gives a higher freedom in constructing and modifying the model ...
Dudás, László
core   +1 more source

Computation of the radical of polynomial ideals over fields of arbitrary characteristic [PDF]

, 2001
We study the problem of the computation of the radical of an ideal of polynomials with coefficients over fields of arbitrary characteristic.
GIANNI, PATRIZIA, FORTUNA, ELISABETTA, TRAGER B.   +2 more
core   +1 more source