Results 41 to 50 of about 648,267 (220)
The Mathematical Scientist, 2022 A new numerical scheme based on the tau spectral method for solving the linear hyperbolic telegraph type equation is presented and implemented. The derivation of this scheme is based on utilizing certain modified shifted Chebyshev polynomials of the ...
A. G. Atta +3 more
semanticscholar +1 more source
The Singular Value Decomposition over Completed Idempotent Semifields
Mathematics, 2020 In this paper, we provide a basic technique for Lattice Computing: an analogue of the Singular Value Decomposition for rectangular matrices over complete idempotent semifields (i-SVD).
Francisco J. Valverde-Albacete +1 more
doaj +1 more source
Quasi-cluster algebras from non-orientable surfaces [PDF]
, 2015 With any non necessarily orientable unpunctured marked surface (S,M) we associate a commutative algebra, called quasi-cluster algebra, equipped with a distinguished set of generators, called quasi-cluster variables, in bijection with the set of arcs and ...
Dupont, Grégoire, Palesi, Frédéric
core +3 more sources
The Square-Zero Basis of Matrix Lie Algebras
Mathematics, 2020 A method is presented that allows one to compute the maximum number of functionally-independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a basis of square-zero matrices even on a field of positive
Raúl Durán Díaz +3 more
doaj +1 more source
Computing Minimal Generating Sets of Invariant Rings of Permutation Groups with SAGBI-Gröbner Basis [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We present a characteristic-free algorithm for computing minimal generating sets of invariant rings of permutation groups. We circumvent the main weaknesses of the usual approaches (using classical Gröbner basis inside the full polynomial ring, or pure ...
Nicolas Thiéry
doaj +1 more source
$\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems [PDF]
, 2010 Some classes of Deformed Special Relativity (DSR) theories are reconsidered within the Hopf algebraic formulation. For this purpose we shall explore a minimal framework of deformed Weyl-Heisenberg algebras provided by a smash product construction of DSR ...
Borowiec, Andrzej, Pachoł, Anna
core +3 more sources
Dimensional analysis using toric ideals: primitive invariants.
PLoS ONE, 2014 Classical dimensional analysis in its original form starts by expressing the units for derived quantities, such as force, in terms of power products of basic units [Formula: see text] etc.
Mark A Atherton +2 more
doaj +1 more source
Minimal deformations of the commutative algebra and the linear group GL(n)
, 1992 We consider the relations of generalized commutativity in the algebra of formal series $ M_q (x^i ) $, which conserve a tensor $ I_q $-grading and depend on parameters $ q(i,k) $ .
A. S. Shvarts +17 more
core +1 more source
Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics
Mathematics, 2015 A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation
Kundeti Muralidhar
doaj +1 more source
Highest weight irreducible representations of the Lie superalgebra $gl(1/\infty)$
, 1998 Two classes of irreducible highest weight modules of the general linear Lie superalgebra $gl(1/\infty)$ are constructed. Within each module a basis is introduced and the transformation relations of the basis under the action of the algebra generators are
Kac V. G. +5 more
core +1 more source