Linear vector equations and inequalities are considered defined in terms of idempotent mathematics. To solve the equations, we apply an approach that is based on the analysis of distances between vectors in idempotent vector spaces. The approach reduces the solution of the equation to that of an optimization problem in the idempotent algebra setting. Based on the approach, existence and uniquen...

A "tetrad" refers t o the difference i n the products of certain covariances (or correlations) among four random variables. A structural equation mode l often implies that some tetrads should be zero. These "vanishing tetrads" provide a means t o test structural equation models. In this paper we develop confirmatory tetrad analysis ( C T A ) . C T A applies a simultaneous test statistic for mul...

We discuss the temporal variation of the equation of state of a classical string network, evolving in a background in which the Hubble radius H−1 shrinks to a minimum and then re-expands to infinity. We also present a method to look for self-consistent non-vacuum string backgrounds, corresponding to the simultaneous solution of the gravi-dilaton background equations and of the string equations ...

A new approach is presented to account for a simultaneous solution of the three wind components from at least a pair of Doppler radar observations, which could remove potential drawbacks of an iterative (nonsimultaneous) solution of Cartesian dual-Doppler analysis techniques. The multiple-Doppler synthesis and continuity adjustment technique (MUSCAT) is derived from the extended overdetermined ...

Weconstruct finite difference discretizations of the acousticwave equation in complicated geometries and heterogeneous media. Particular emphasis is placed on the accurate treatment of interfaces at which the underlying media parameters have jump discontinuities. Discontinuousmedia is treated by subdividing the domain into blockswith continuousmedia. The equation on each block is then discretiz...

This study is focused on the automatic modelling of linear dynamical systems based on system output observations. Identification of a differential equation degree and its parameters requires the initial point because the output of the dynamical system for the given input depends on the initial point value. Generally, it is impossible to estimate the system state and its derivatives using the ob...

We describe a software environment for dynamic optimization using the simultaneous approach. Over the past few years, there has been significant evelopment in the formulation of simultaneous dynamic optimization problems, using collocation on finite elements, and in the solution of the esulting large-scale nonlinear programming problem, using powerful barrier NLP solvers. Here we describe the b...

For the purpose of computer calculation to evaluate time-dependent quantum properties in finite temperature, we propose new numerical method expressed in the forms of simultaneous differential equations. At first we derive the equation of motion in finite temperature, which is found to be same expression as Heisenberg equation of motion except for the c-number. Based on this equation, we constr...

In an effort to understand the workings of the retinal receptive fields, Enroth-Cugell and Robson developed a mathematical model that utilized the difference-of-Gaussian (DOG) function, an equation in which the inhibitory portion of a receptive field is subtracted from the excitatory portion. Additions to the original Enroth-Cugell and Robson equation have been successful in modeling a twodimen...