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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References in periodicals archive ?
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.
Loosely speaking, since [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], a given spreading function can only be accurately reproduced in one fundamental domain of [LAMBDA][o] .
Generally speaking, good approximation by a classical Gabor multiplier is possible, if the essential support of the spreading function is contained in the fundamental domain [OMEGA][o] of the adjoint lattice for a dense enough lattice [LAMBDA].
The finite-dimensional situation is similar, the integral over [OMEGA][o] is replaced by a finite sum over the finite fundamental domain {0, .
Moreover, since F is a fundamental domain of the upper half plane H under the action of PS[L.
Figure 6 shows that the domain B \ D decomposes as the union of six transforms of the fundamental domain F, namely
This shows that the disk D itself is also a union of transforms of the fundamental domain F.
The set G formed by the LFT's which map the fundamental domain F into the set B \ F decomposes as G = (H* .
This is a fundamental domain acquisition," said Michael Hodgdon, First Light Net's Chairman and Chief Operating Officer.
t] is the number of instantaneous fundamental domains, the number of fundamental fluctuations within the instantaneous spherical shell contained within a t-sliced hypersurface of simultaneity.
They look at complex hyperbolic lattices, rank-one isometries of proper CAT(0)-spaces, trace polynomials for simple loops on the twice punctured torus, the simplicial volume of products and fiber bundles, the homology of Hantzsche-Wendt groups, Seifert fibered structure and rigidity on real Bott towers, exotic circles in groups of piecewise smooth circle homeo-morphisms, and groups generated by spine reflections admitting crooked fundamental domains.
From the nebulous roots and trunk on the tree of life, the three known fundamental domains of life branched out billions of years ago: bacteria, eukaryotes, and archaea.

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