We compute the inverse of a specific infinite r-dimensional matrix, thus unifying multidimensional matrix inversions recently found by Milne, Lilly, and Bhatnagar. Our inversion is an r-dimensional extension of a matrix inversion previously found by Krattenthaler. We also compute the inverse of another infinite r-dimensional matrix. As applications of our matrix inversions, we derive new summat...

A new method is presented for the direct inversion of seismic refraction data in dipping planar structure. Three recording geometries, each consisting of two common-shot profiles, are considered: reversed, split, and roll-along profiles. Inversion is achieved via slant stacking the common-shot wavefield to obtain a delay time-slowness (tau-p) wavefield. The tau-p curves from two shotpoints desc...

Inversion of magnetotelluric (MT) responses has been used to explore the electrical conductivity distribution Earth’s interior. In three-dimensional (3-D) inversions, it is significant use a good initial model, because final model obtained by most 3-D inversion methods influenced model. Although uniform models are widely in one-dimensional (1-D) alternatives, which could more appropriately repr...

In the title complex, {[Co(C(6)H(8)N(2)O(2))(C(9)H(7)NO(2))(H(2)O)(2)](ClO(4))(2)}(n), the Co(II) ion lies on an inversion centre and is coordinated in a slightly distorted octa-hedral environment. The 2,5-dimethyl-pyrazine 1,4-dioxide ligand, which also lies on an inversion center, acts as a bridging ligand, linking symmetry-related Co(II) ions [Co⋯Co = 8.669 (3) Å] and forming one-dimensional...

Shear-wave velocity ( ) is an important parameter used for site characterization in geotechnical engineering. However, dispersion curve inversion is challenging for most inversion methods due to its high non-linearity and mix-determined trait. In order to overcome these problems, in this study, a joint inversion strategy is proposed based on the particle swarm optimization (PSO) algorithm. The ...

Abstract. We compute the inverse of a specific infinite r-dimensional matrix, thus unifying multidimensional matrix inversions recently found by Milne, Lilly, and Bhatnagar. Our inversion is an r-dimensional extension of a matrix inversion previously found by Krattenthaler. We also compute the inverse of another infinite r-dimensional matrix. As applications of our matrix inversions, we derive ...