856 research outputs found
On the construction of a finite Siegel space
In this note we construct a finite analogue of classical Siegel's Space. Our
approach is to look at it as a non commutative Poincare's half plane. The
finite Siegel Space is described as the space of Lagrangians of a
dimensional space over a quadratic extension of a finite base field .
The orbits of the action of the symplectic group on Lagrangians are
described as homogeneous spaces. Also, Siegel's Space is described as the set
of anti-involutions of the symplectic group.2
Revisión de categorías sociolingüísticas
Nuestros hijos en la escuela más estudian en castellano y nosotros siempre en la casa les hablamos en kichwa, porque tienen que hablar nuestro idioma, el de nuestros abuelos… no debemos perder esa cultura”.
«Si tengo que hablar con una persona en castellano hablo, pero cuando tengo que hablar en kichwa igual hablo. Mi decisión es que hasta mis hijas hablen kichwa porque somos indígenas, no tienen
que perder nuestra cultura, la cultura de nuestros padres
Functional Dynamics I : Articulation Process
The articulation process of dynamical networks is studied with a functional
map, a minimal model for the dynamic change of relationships through iteration.
The model is a dynamical system of a function , not of variables, having a
self-reference term , introduced by recalling that operation in a
biological system is often applied to itself, as is typically seen in rules in
the natural language or genes. Starting from an inarticulate network, two types
of fixed points are formed as an invariant structure with iterations. The
function is folded with time, until it has finite or infinite piecewise-flat
segments of fixed points, regarded as articulation. For an initial logistic
map, attracted functions are classified into step, folded step, fractal, and
random phases, according to the degree of folding. Oscillatory dynamics are
also found, where function values are mapped to several fixed points
periodically. The significance of our results to prototype categorization in
language is discussed.Comment: 48 pages, 15 figeres (5 gif files
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