fundamental region

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fundamental region

[¦fən·də¦ment·əl ′rē·jən]
(mathematics)
Any region in the complex plane that can be mapped conformally onto all of the complex plane.
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Moreover, signal processing is a fundamental domain based on several techniques which encompasses the fundamental theory, applications, algorithms, and implementation of processing or transferring information.
Any Fuchsian Group possesses a connected, convex fundamental domain. The focus will be on an outer billiard map defined with regular polygonal tilings in the hyperbolic plane.
The two most known and used constructions in hyperbolic space are the Ford and Dirichlet fundamental domains. The Ford fundamental domain of a group [GAMMA] is defined in terms of the isometric spheres of the elements of r.
The set S of reflections with respects to facets of P generates a discrete group [GAMMA] which has P as a fundamental domain. We call ([GAMMA], S) the Coxeter system associated to P.
Let Fbea fundamental domain for the action [GAMMA] on [CHI] (implicitly we assume here that the action of G is so that such a domain exists).
For a given lattice [LAMBDA], we shall denote by [LAMBDA][o] the adjoint lattice [9], by [OMEGA][o] the corresponding fundamental domain, and by [PI][o] the corresponding periodization operator.
Moreover, since F is a fundamental domain of the upper half plane H under the action of PS[L.sub.2](Z) (iii), there exists a tesselation of H with transforms of F of the form h(F) with h [member of] PS[L.sub.2](Z).
Then [Mathematical Expression Omitted] is equal to the "intersection" of a fundamental domain in the hyperbolic 3-space of [Gamma] with the sphere at infinity.
We now see that the content of the problem is given by the question of how one thinks the fundamental domain of a mathematical theory can be given.
Continuing Prof.Daud Khan asked that in terms of knowledge, skills and affective domain, do we ensure equity and justice among the three fundamental domains. Do we really spend as much time and energy on the affective domain that we do on the knowledge and skill domains?
If you think about the three fundamental domains -- essence, story and experience -- there are opportunities in all three for these digital platforms to augment their brands.

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