Revistas académicas de la Universidad Católica del Norte
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Pequeña introducción al pensamiento arquitectónico de Aldo Van Eyck
No full textVivimos una época en que todo parece cambiar con una enorme velocidad, nos acaban de anunciar que la Post-Modernidad murió, que ya pasó, que está out, que no es moderna
Sur les algèbres nucleáires II
No full textThis paper is the continuation of a precedent one (cf. [2]). We decompose a subclass of semi-simples nuclear algebras as direct sum of simples ideals and we give a Wedderburn decomposition for these algebras
Maxwell revisited
No full textThis work explores what other mathematical possibilities were available to Maxwell for formulating his electromagnetic field model, by characterizing the family of mathematical models induced by the analytical equations describing electromagnetic phenomena prevailing at that time. The need for this research stems from the article “Inertial Relativity — A Functional Analysis Review”, recently published in “Proyecciones”, which claims and demonstrates the existence of an axiomatic conflict between the special and general theories of relativity on one side, and functional analysis on the other, making the reformulation of the relativistic theories, mandatory. As will be shown herein, such reformulation calls for a revision of Maxwell’s electromagnetic field model. The conclusion is reached that —given the set of equations considered by Maxwell— not a unique, but an infinite number of mathematically correct reformulations to Ampèrés law exists, resulting in an equally abundant number of potential models for the electromagnetic phenomena (including Maxwell’s). Further experimentation is required in order to determine which is the physically correct model
Green’s function of differential equation with fourth order and normal operator coefficient in half axis
No full textLet H be an abstract seperable Hilbert space. Denoted by H1 = L2 (0, ?; H), the all functions defined in [0, ?) and their values belongs to space H, which R ? 0 kf(x)k 2 H dx < ?. We define inner product in H1 by the formula(f, g)H1 = R ? 0 (f, g)Hdx f(x), g(x) ? H1,H1 forms a seperable Hilbert space[3] where k.kH and (., .)H are norm and scalar product, respectively in H. In this study, in space H1, it is investigated that Green’s function (resolvent) of operator formed by the diferential expressiony IV + Q(x)y, 0 ? x < ?,and boundary conditionsy 0 (0) ? h1y(0) = 0,y 000(0) ? h2y 00(0) = 0,where Q(x) is a normal operator mapping in H and invers of it is a compact operator for every x ? [0, ?). Assume that domain of Q(x) is independent from x and resolvent set of Q(x) belongs to |arg ? ? ?| < ? (0 < ? < ?) of complex plane ?, h1 and h2 are complex numbers. In addition assume that the operator function Q(x) satisfies the Titchmarsh-Levitan conditions
On symmetries of pq-hyperelliptic Riemann surfaces
No full textA symmetry of a Riemann surface X is an antiholomorphic involution ø. The species of ø is the integer ek, where k is the number of connected components in the set Fix(ø) of fixed points of ø and ε = -1 if X \ Fix(ø) is connected and ε = 1 otherwise. A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if it admits a conformal involution p, called a p-hyperelliptic involution, for which X/p is an orbifold of genus p. Symmetries of p-hyperelliptic Riemann surfaces has been studied by Klein for p = 0 and by Bujalance and Costa for p > 0. Here we study the species of symmetries of so called pq-hyperelliptic surface defined as a Riemann surface which is p- and q-hyperelliptic simultaneously
Generalized connectivity
No full textIn this paper, we introduce generalized connectivity in L-fuzzy topological spaces by Lukasiewicz logic and prove K. Fan’s theorem
Existence of solutions for a discrete non linear eigenvalue problem
No full textIn this article we expose some existence results on the solutions of the discrete non linear boundary value problem derived from Fisher’s continuous partial differential equations in steady state
The homotopy type of invariant control set
No full textLet G be a noncompact semi-simple Lie group, consider S a semigroup which contains a large Lie semigroup. We computer the homotopy type ??(C), where C is the invariant control set of the homogeneous space G=P with P ? G a parabolic subgroup of G
