We present a natural motivation and simple mnemonic for creating the dual LP of any linear prograrnming problem. Key words, linear program, duality AMS subject classification. 90C05 A linear program (LP) is a problem of maximizing or minimizing a linear function subject to linear equality or inequality constraints. Associated with any LP is a dual LP with many important properties. We demonstra...

background: p e r io d ontal d i s e ase i s a c h ro ni c des t ructi v e d i s e a s e w h ich o ccurs in adults, young people, and children .   perio d ontal disease and periodontal pathoge n s ha v e been associ a ted with se v er a l syste m ic dise a ses and more recen t ly, se v e r a l stu d ies have sug g es te d the relat i o n ship bet w een p e rio d ontal d isease and cancer. stu d...

a water soluble, bronsted acid, 5-sulfosalicylic acid as an efficient organocatalyst was used for the synthesis of physiologically active 2-substituted benzimidazole derivatives from o-phenylenediamine and aromatic aldehydes in ethanol at reflux condition. cost-effectiveness, use of non-hazardous solvents, metal free and commercially available catalyst, single-step, environmentally friendly gre...

Ubiquitous computing applications or widespread robots interactions execute in unforeseen environments and need to adapt to changeful available services, user needs, and variations of the environment. Context-awareness ability addresses such a need, enabling, through adaptation rules, applications to react to the perceived dynamic variations. Responses to adaptation have to be quick enough to m...

There have been recent a t t empts to produce trainable (unsupervised) models of human-language syntax and semantics, as well as morphology. To our knowledge, there has not been an a t t empt to produce a generative model tha t encorporates semantic, syntactic, and morphological elements. Some immediate applications of this tool axe stemming, word clustering by root, and disambiguation (at the ...

Extending the dynamics underlying the factorization calculation of two-body decays, we propose simple selection rules for nonresonant three-body B decays. We predict, for instance, that in the Dalitz plot of B → D0π+π−, practically no events should be found in the corner region of E(π) ≤ ΛQCD as compared with the corner of E(π−) ≤ ΛQCD. We also predict that there should be very few three-body d...

V-cal is a calculus designed to support the compilation of data parallel languages that allows to describe program transformations and optimizations as semantics preserving rewrite rules. In V-cal the program transformation and optimization phase of a compiler is organized in three independent passes: in the rst pass a set of rewrite rules are applied that attempt to identify the potential para...

This p a p e r desc r ibes the appl ica t ion of markov ian t e a m i n g m e t h o d s to the inference of word t r an sduce r s . We s h o w how the p roposed m e t h o d d i s p e n s e s f rom the difficult des ign of hand-c ra f t ed rules, allows the u s e of weighed non determinis t ic t r a n s d u c e r s and is able to t r ans la te words by tak ing into a c c o u n t thei r whole r a...