In the title compound, {[Ni(C(12)H(10)N(2))(H(2)O)(4)](NO(3))(2)}(n), the Ni(II) ion, lying on a crystallographic inversion center, has a distorted octa-hedral coordination sphere comprising four water ligands and two N-atom donors from the trans-related 1,2-bis-(4-pyrid-yl)ethene ligands, which also have crystallographic inversion symmetry. These ligands bridge the Ni(II) complex units, formin...

A matrix inversion algorithm based on the Sherman-Morrison formula is analyzed and compared with the classical Gauss-Jordan algorithm. In particular the results obtained in a Cray T3-E by the parallel versions of both algorithms are compared. Key-Words:Sherman-Morrison formula, matrix inversion, Parallel algorithms, Cray T3-E

This paper presents an alternative formulation for the cone-beam projections given an arbitrary source trajectory and detector orientation. This formulation leads to a new inversion formula. As a special case, the inversion formula for the spiral source trajectory is derived.

In this paper, we compute E[Q(‖X‖], where X is an n × 1 complex circularly Gaussian vector, ‖X‖ is the L norm of X and E[ ] is the expectation operator. This is done by finding the characteristic function of the decision variable and subsequently applying the inversion formula to obtain a one dimensional real integral expression. This integral is then converted to a contour integral which is ev...

Wilf stated that the Lagrange inversion formula (LIF) is a remarkable tool for solving certain kinds of functional equations, and at its best it can give explicit formulas where other approaches run into stone walls. Here we present the LIF combinatorially in the form of lattice paths, and apply it to the divisibility property of the coefficients of a formal power series expansion. For the LIF,...