Infinite programming may be defined as the study of mathematical programming problems in which the number of variables and the number of constraints are both possibly infinite. Many optimization problems in engineering, operations research, and economics have natural formul- ions as infinite programs. For example, the problem of Chebyshev approximation can be posed as a linear program with an infinite number of constraints. Formally, given continuous functions f, gl, g2,, gn on the interval a, b], we can find the linear combination of the functions gl, g2, ..., gn which is the best uniform...
Infinite programming may be defined as the study of mathematical programming problems in which the number of variables and the number of constraints a...
Studies based on the Rankine-Hugoniot relations have classified MHO shock waves as fast, switch-on, intermediate, switch-off, and slow. Any waves found in nature must also: (a) possess steady-state structures and (b) be stable in the presence of small-flow disturbances. In this monograph, Dr. Anderson examines these criteria in relation to plane shocks for which the collision frequency is large compared with cyclotron frequency. It contains a three-dimensional graphic representation of shock end states and presents an exact solution for the shock adiabatic curve in a convenient form.An MIT...
Studies based on the Rankine-Hugoniot relations have classified MHO shock waves as fast, switch-on, intermediate, switch-off, and slow. Any waves f...