A new modification of the optical location equation is proposed that takes into account the specific features of super-Gaussian fan rays with high homogeneity and, correspondingly, the higher efficiency in problems of remote sensing. A computer program is implemented that simulates the operation of ...
The Carnahan-Starling method for obtaining the equation of state of the hard-sphere fluid is generalized and used to derive an equation of state for hard Gaussian overlap fluids. The results are in excellent agreement with existing simulation data....
Two methods proposed for the determination of the P-V-T behaviour of hard Gaussian-overlap fluids, employing the geometric properties of the corresponding hard ellipsoids and the hard convex-body equation of state, are discussed and the calculated compressibility factor compared with recent simulation ...
For a Gaussian filter, Equation 11.3 may be rewritten as: (11.4)F(p)=f(S,p)=(h⊗S)(p) where S is the signal, h is the filter function and ⊗ denotes the convolution operator. For the visualization of vasculature, the skeleton corresponds to the signal. The selected filter ...
Klug and Alexander [57] suggested that it is more appropriate to fit the strain broadening with a Gaussian function and to represent the size broadening with a Cauchy function (CG relation). Several workers have reported that the CG relation for intrinsic profile deconvolution provides reasonable ...
Here, F−1 stands for the inverse Fourier transform, and Ψ~z=0(ω) is the spectral form of the input from the laser source with the nearly flat phase (low chirp), which has the Gaussian profile (see “The treatment of the FSE” in “Methods”). For the spectral phase ϕGVD, ...
We consider here a Kac equation with a Gaussian thermostat in the case of a non-cutoff cross section. Under the sole assumptions of finite mass and finite energy for the initial data, we prove the existence of a global in time solution for which mass and energy are preserved. Then, via ...
the sign of the asynchrony{\tau }_{{\rm{d}}}is to reverse the fast time\tau, having no consequence on the system dynamics. As it is well known, in the steady state ({\partial }_{T}\to 0) the stable solutions of Eq. (23) are Gaussian pulses25,28(see the “Methods” section...
A Dubkov,B Spagnolo 摘要: We show that the increments of generalized Wiener process, useful to describe non-Gaussian white noise sources, have the properties of infinitely divisible random processes. Using functional approach and the new correlation formula for non-Gaussian white noise we derive ...
This is a symmetrical, Gaussian-shaped pulse, which is obviously noncausal since it exhibits a tail extending into negative times, as well as predicting instantaneous arrivals everywhere in the viscous fluid. Such behavior is not physical, nor is it consistent with the fact established earlier that...