By Lemma 14, for an arbitrarily chosen open cover ω of X, there exists a locally finite polyhedron P with non-trivial Euler-Poincaré characteristic and a pair of continuous mappings (Xstackrel{s}{rightarrow}Pstackrel{r}{rightarrow}X) such that, for each (xin X), ((rcirc s)(x)) and x are ω-near.
These switches, fully isolated from ground, can be quickly and arbitrarily closed or opened providing sub-microsecond removal of stored energy.
3 The possibility of producing 3D, free-standing, and arbitrarily complex architectures opens up novel applications in various research fields, e.g., photonic crystals, metamaterials, and biological scaffold fabrication.
The model also permits the microphone to be located anywhere outside the flow, arbitrarily close to the open jet.
He knew that the door could close just as arbitrarily as it had opened.
The tribe may also argue that state officials are arbitrarily preventing them from opening a casino while allowing the Mashantucket Pequots and Mohegans to continue making hundreds of millions of dollars each year.
Yet, the NCAA cannot act capriciously or arbitrarily and that has opened them up to potential lawsuits by Penn State (who appears to have accepted their punishment) and the Paterno family (who has not).
Making them with your eyes open instead of arbitrarily is the best piece of advice I could give".
Since it has an open isofrequency surface, arbitrarily large k θ with real k r is allowed in the lens.
The main advantages of BEM++ over many other methods are its flexibility to be applied to homogeneous dielectric particles of arbitrarily complex shape, and its open availability.
