Seismic inversion is a method that extracts acoustic impedance data from the seismic traces. Source wavelets are band-limited, and thus seismic traces do not contain low and high frequency information. Therefore, there is a serious problem when the deterministic seismic inversion is applied to real data and the result of deterministic inversion is smooth. Low frequency component is obtained fro...

in this paper, the maximal dissipative extensions of a symmetric singular 1d discrete hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the hilbert space ℓ_{ω}²(z;c²) (z:={0,±1,±2,...}) are considered. we consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. for each of these cases we establish a self...

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. The link between the scaling function extracted from the analysis of (e, e) cross sections and the spectral functio...

Research on random targets for modulation transfer function (MTF) evaluation began in 1986 at the Center for Education and Research in Optics and Lasers (CREOL) located at the University of Central Florida. Under the direction of Dr. Glenn D. Boreman, research was conducted on the use of integrating spheres to produce highly uniform laser speckle. Dr. Boreman demonstrated that the exit port of ...

We study the random composition of a small family of O(n) simple permutations on {0, 1}n. Specifically we ask how many randomly selected simple permutations need be composed to yield a permutation that is close to k-wise independent. We improve on the results of Gowers [12] and Hoory et al. [13] and show that up to a polylogarithmic factor, nk compositions of random permutations from this famil...