Results 21 to 30 of about 2,093 (267)

Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials

IEEE Access, 2023
This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational matrix of differentiation of Bernstein polynomials, is employed to ...
Shahad Adil Taher Algazaa, Jamshid Saeidian   +1 more
doaj   +1 more source

The complexity of some families of cycle-related graphs

Journal of Taibah University for Science, 2017
In this paper, we derive new formulas for the number of spanning trees of a specific family of graphs – gear graphs, flower graphs, sun graphs and sphere graphs – using techniques from linear algebra, Chebyshev polynomials and matrix theory.
S.N. Daoud, K. Mohamed
doaj   +1 more source

Case study from Université Claude Bernard, Lyon 1

Open Education Studies, 2022
We present the Active Learning tools introduced in basic mathematics courses in the Preparatory Curriculum for Engineering schools at Université Claude Bernard.
Mercat Christian
doaj   +1 more source

Elimination of Variables in Linear Solvable Polynomial Algebras and ∂-Holonomicity [PDF]

Journal of Algebra, 2000
Let \(A\) be a finitely generated algebra over a field \(k\) of characteristic \(0\), and fix a finite set \(a_1,\dots,a_n\) of generators. For each \(\alpha=(\alpha_1,\dots,\alpha_n)\in P\), the additive monoid of all vectors of integer non-negative components, we have the associated standard monomial \(a^\alpha=a_1^{\alpha_1}\cdots a_n^{\alpha_n ...
Li, Huishi, Van Oystaeyen, Freddy
openaire   +1 more source

Hierarchical Zonotopal Power Ideals [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
Zonotopal algebra deals with ideals and vector spaces of polynomials that are related to several combinatorial and geometric structures defined by a finite sequence of vectors.
Matthias Lenz
doaj   +1 more source

An Implementation of Image Secret Sharing Scheme Based on Matrix Operations

Mathematics, 2022
The image secret sharing scheme shares a secret image as multiple shadows. The secret image can be recovered from shadow images that meet a threshold number.
Zihan Ren, Peng Li, Xin Wang
doaj   +1 more source

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

Logical 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

Algebraic degree of the inverse of linearized polynomials

Journal of Symbolic Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Algebras of polynomials generated by linear operators

Carpathian Mathematical Publications
Let $E$ be a Banach space and $A$ be a commutative Banach algebra with identity. Let $\mathbb{P}(E, A)$ be the space of $A$-valued polynomials on $E$ generated by bounded linear operators (an $n$-homogenous polynomial in $\mathbb{P}(E,A)$ is of the form $P=\sum_{i=1}^\infty T^n_i$, where $T_i:E\to A$, $1\leq i <\infty$, are bounded linear operators ...
Abtahi, M., Zaj, F.
openaire   +3 more sources

Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement

Advanced Science, EarlyView.
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang, Xinyuan Ke, Andrew Heath, Richard J. Ball, Jiawei Xie, Jinchen Fan, Guisheng Li, Kevin Paine   +7 more
wiley   +1 more source