Let X be a completely regular space and let A(X) be a ring of continuous real-valued functions onX which is closed under local bounded inversion. We show that the structure space of A(X) is homeomorphic to a quotient of the Stone–Čech compactification of X. We use this result to show that any realcompactification of X is homeomorphic to a subspace of the structure space of some ring of continuo...

This paper presents a method to determine the shape of a space object while simultaneously recovering the observed space object’s inertial orientation. This paper employs an Adaptive Hamiltonian Markov Chain Monte Carlo estimation approach, which uses light curve data to infer the space object’s orientation, shape, and surface parameters. This method is shown to work well for relatively high di...

an experimental study of the phase inversion behavior of liquid-liquid dispersion has been conducted in a spray extraction column for systems of toluene / water, n-hexane/water, ccl4/water, toluene /water + glycerol (25 % wt), toluene + ccl4 (25 % wt) / water and toluene / acetic acid (5 % wt)/water. the effects of physical properties, mass transfer and column geometry on phase inversion have b...

In the present study, the boundary value problems in generalized thermodiffusive elastic medium has been investigated as a result of inclined load. The inclined load is assumed to be a linear combination of normal load and tangential load. Laplace transform with respect to time variable and Fourier transform with respect to space variable are applied to solve the problem. As an application of t...

A band gap for electronic states in crystals governs various properties of solids, such as transport, optical, and magnetic properties. Its estimation and control have been an important issue in solid-state physics. The band gap can be controlled externally by various parameters, such as pressure, atomic compositions, and external field. Sometimes, the gap even collapses by tuning some paramete...

The structures of five of the possible six isomers of (E,E)-1,4-bis(nitrophenyl)-2,3-diaza-1,3-butadiene are reported, including two polymorphs of one of the isomers. (E,E)-1,4-Bis(2-nitrophenyl)-2,3-diaza-1,3-butadiene, C(14)H(10)N(4)O(4) (I), crystallizes in two polymorphic forms (Ia) and (Ib) in which the molecules lie across centres of inversion in space groups P2(1)/n and P2(1)/c, respecti...

We introduce and analyze a frequency-domain method for par-abolic partial diierential equations. The method is naturally parallelizable. After taking the Fourier transformation of given sources in the space-time domain into the space-frequency domain, we propose to solve an indeenite, complex elliptic problem for each frequency. Fourier inversion will then recover the solution in the space-time...

We consider the generalized Segal–Bargmann transform, defined in terms of the heat operator, for a noncompact symmetric space of the complex type. For radial functions, we show that the Segal–Bargmann transform is a unitary map onto a certain L space of meromorphic functions. For general functions, we give an inversion formula for the Segal–Bargmann transform, involving integration against an “...

We consider the generalized Segal–Bargmann transform, defined in terms of the heat operator, for a noncompact symmetric space of the complex type. For radial functions, we show that the Segal–Bargmann transform is a unitary map onto a certain L space of meromorphic functions. For general functions, we give an inversion formula for the Segal–Bargmann transform, involving integration against an “...

We study the effect of additive noise to inversion FIOs associated a diffeomorphic canonical relation. use microlocal defect measures measure power spectrum in phase space and analyze how that is transformed under inversion. In general, white noise, for example, mapped depending on position direction. particular, we compute standard deviation, locally, added as function deviation data. As an Ra...