Recherche des graphes des matrices de Coxeter hyperboliques d’ordre
Graphes maximaux
Une remarque sur l'algorithme de Ducamp pour la recherche de tous les ordres totaux contenant un ordre partiel
Analyse de la complexité des programmes, des algorithmes et des problèmes
Graphe régulièrement décomposable
Solving an inverse Sturm-Liouville problem by a Lie-group method.
Indice de -recouvrement d’un graphe
Réductions de graphes et systèmes de Church-Rosser
Possible orders of nonassociative Moufang loops
The paper surveys the known results concerning the question: “For what values of does there exist a nonassociative Moufang loop of order ?” Proofs of the newest results for odd, and a complete resolution of the case even are also presented.
On Maps x ... xn and the Isotopy-Isomorphy Property of Moufang Loops (Short Communication)
On Maps x-xn and the Isotopy-Isomorphy Property of Moufang Loops
Bol loops with a large left nucleus
Possession of a unique nonidentity commutator/associator is a property which dominates the theory of loops whose loop rings, while not associative, nevertheless satisfy an ``interesting'' identity. Indeed, until now, with the exception of some ad hoc examples, the only known class of Bol loops whose loop rings satisfy the right Bol identity have this property. In this paper, we identify another class of loops whose loop rings are ``strongly right alternative'' and present various constructions of...
Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative
We investigate finite Moufang loops with a unique nonidentity commutator which are not associative, but all of whose proper subloops are associative. Curiously, perhaps, such loops turn out to be ``ring alternative'', in the sense that their loop rings are alternative rings.
Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions
For a second-order singularly perturbed ordinary differential equation (ODE) under the Robin type boundary conditions, we develop an energetic Robin boundary functions method (ERBFM) to find the solution, which automatically satisfies the Robin boundary conditions. For the non-singular ODE the Robin boundary functions consist of polynomials, while the normalized exponential trial functions are used for the singularly perturbed ODE. The ERBFM is also designed to preserve the energy, which can quickly...
The eigenvalues of symmetric Sturm-Liouville problem and inverse potential problem, based on special matrix and product formula
The Sturm-Liouville eigenvalue problem is symmetric if the coefficients are even functions and the boundary conditions are symmetric. The eigenfunction is expressed in terms of orthonormal bases, which are constructed in a linear space of trial functions by using the Gram-Schmidt orthonormalization technique. Then an -dimensional matrix eigenvalue problem is derived with a special matrix , that is, if is odd.Based on the product formula, an integration method with a fictitious time, namely...
Introduction [Loops '99 Conference]
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