Les parties finies des intégrales de Riemann-Weyl et les méthodes de régularisation
In this note we study deformations of a plane curve singularity (C,P) to δ(C,P) nodes. We see that for some types of singularities the method of A'Campo can be carried on using parametric equations. For such singularities we prove that deformations to δ nodes can be made within the space of curves of the same degree.
We prove that weakly Lindelöf determined Banach spaces are characterized by the existence of a ``full'' projectional generator. Some other results pertaining to this class of Banach spaces are given.
We show that the study of topological T-spaces with a finite number of points agrees essentially with the study of polyhedra, by means of the geometric realization of finite spaces. In this paper all topological spaces are assumed to be T.
In this paper, we deal with the product of spaces which are either -spaces or -spaces, for some . These spaces are defined in terms of a two-person infinite game over a topological space. All countably compact spaces are -spaces, and every -space is a -space, for every . We prove that if is a set of spaces whose product is a -space, then there is such that is countably compact for every . As a consequence, is a -space iff is countably compact, and if is a -space, then all...
The concepts of bounded subset, complete subset and directed subset, wich are well known in the context of partially ordered sets (X,≤), are extended in order to become appliable, with coherence, in fuzzy relational systems (X,R). The properties of these generalized structures are analyzed and operative exemples of them are presented.
Our aim is to look for precise definitions of musical concepts. In this work we present the concepts we have been able to derive from the concept of pitch (high-low aspect of musical sounds). Now, pitches being the primitive concept, they will not be defined from a previous concept, but from their mutual relationships.
The knowledge of the natural graded algebras of a given class of Lie algebras offers essential information about the structure of the class. So far, the classification of naturally graded Lie algebras is only known for some families of p-filiform Lie algebras. In certain sense, if g is a naturally graded Lie algebra of dimension n, the first case of no p-filiform Lie algebras it happens when the characteristic sequence is (n-3,2,1). We present the classification of a particular family of these algebras...
Tukey (1977), in his exploratory data analysis, proposed the letter-value display of a batch as being its main numerical summary. In this paper, analytic relations between latter-values and quantiles are studied. Bounds for their differences are also found.
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