[PDF] Top 20 Some contributions to the theory of mathematical programming

... linear programming to problems of business and industry, computer codes for the Simplex and other methods have been written on most of the intermediate and large general purpose electronic computers throughout the ... See full document

... lastly# i t may be noted that the method described here for least squares convex ^piommetions applies equally to approx3.m tions on the interval [ o , l ] as well as on a fin ite point se t, T)or again we have a ... See full document

... The central idea is to use established demand theory methods for the analysis of firm behaviour in a Cournot setting. This approach is based on a recognition of the fact that duality finds application on the ... See full document

... to some multiscale problems motivated by practical problems in ...The theory at play is that of homogenization, in its many variants (stochastic, general deter- ministic, ... See full document

... a general polarization source formulation Bates 1970 is given in Chapter 4 and is used in Chapter 5 to obtain formulas for the cutoff characteristics of a waveguide of arbitrary cross-se[r] ... See full document

... An early result, one that in some ways has yet to be surpassed, was proved by Ito [28]. By an elegantly concise com m utator calculation he showed that a group which is factorized by two abelian subgroups must be ... See full document

... responses, some of which are involved in generating a somatic state that is relayed to struc- tures involved in body mapping and homeostatic regulation (eg, insular cortex); these structures will then translate ... See full document

... Rothschild and Stiglitz (1982), if employers' payoff depends on how well they can match workers to tasks, the group whose productivity is easier to measure will be preferred even absent concerns for human capital ... See full document

... the theory of partitions flourished significantly with the contributions of many other prominent mathematicians like SrinivasaRamanujan, an Indian mathematician who in 1913, established several partition ... See full document

... Quite recently there have been a number of results in a somewhat different direction by Brauer, Nagel, Skolem, Redei, and Kanold. Redei’s method is particularly interesting. He uses a finite projective geometrical ... See full document

... The theory of variational inequality for multi-valued mappings has been studied by several authors (see [1, 4, 9, 14, 16, ...inequality theory is closely related to mathematical programming ... See full document

... The split feasibility problem (SFP) in finite dimensional Hilbert spaces was first introduced by Censor and Elfving [] for modeling inverse problems which arise from phase retrievals and in medical image reconstruction. ... See full document

... linear programming (FLP) models in which the parameters are known only partially to some degree of ...first mathematical formulation of fuzziness was pioneered by Zadeh ...set theory to become ... See full document

... chaos/complexity theory and SLA by Larsen- Freeman (1997) and Finch (2004), an attempt has been made to look at language testing and dynamic assessment in light of chaos/complexity theory as well in this ... See full document

... the mathematical model contains uncertain information, that is, the coefficients and goal are fuzzy or not exactly known, the problem should be modeled with an approach that addresses and incorporates these ... See full document

... qualitative theory of differential equations, theory of stability, functional analysis, mathematical programming, linear and higher algebra this work develops in details a method of system ... See full document

... of mathematical phys- ics, which can be used not only to prove the existence of solutions but also their ...on mathematical problems of nonlinear ...significant contributions to the foundation of ... See full document

... of the distant galaxy, but here the lens alignment is so precise that the background galaxy is distorted into a horseshoe -- a nearly complete ring. Since such a lensing effect was generally predicted in some ... See full document

... makes some of the algorithms used in checkpointing and recovery inapplicable to ...provides programming language primitives that eliminate the need for writing recovery code for soft failures in-line with ... See full document

... Significant experience and/or training in some of the following areas desirable: optimization, linear programming and other mathematical programming; simulation and other system modellin[r] ... See full document