منابع مشابه
Could René Descartes Have Known This?
Below we discuss the partition of the space of real univariate polynomials according to the number of positive and negative roots and signs of the coefficients. We present several series of non-realizable combinations of signs together with the numbers of positive and negative roots. We provide a detailed information about possible non-realizable combinations up to degree 8 as well as a general...
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Conjecture 1. Let F be a number field, let p be some prime number, and fix an isomorphism ι : C ∼= Qp. Then there is a bijection between the set of algebraic cuspidal automorphic representations of GLn(AF ), and the set of isomorphism classes of irreducible continuous representations of the absolute Galois group of F on n-dimensional Qp-vector spaces which are almost everywhere unramified, and ...
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Selective serotonin reuptake inhibitors (SSRIs) display a delayed onset of antidepressant action of several weeks. Past work demonstrated evidence that the 5-HT4 receptor may be a direct target for treating depression and a new hope for fast acting antidepressant treatment. However, the 5-HT4 hypothesis still needs to be validated in models of anxiety/depression. We decided to investigate wheth...
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Le but de cet exposé est de relater les liens entre dynamique et géométrie. Les systèmes abordés relèvent de la robotique et nous verrons qu’en ce domaine, la quête de mécanismes de plus en plus sophistiqués, et de leur modèles dynamiques associés, se traduit par la complexification des structures géométriques qu’ils impliquent. Le point de vue adopté est celui du calcul des variations de type ...
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In this paper I would like to illustrate two facts. First, that ideas borrowed from convex, projective, and other classical branches of geometry play an important role in the design of algorithms for problems that do not seem to have anything to do with geometry: for problems in optimization, combinatorics, algebra, and number theory. Second, that such applications of geometry suggest some very...
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik und Physik
سال: 1923
ISSN: 0026-9255,1436-5081
DOI: 10.1007/bf01705603