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These guys have solved the problem using the tried and trusted mathematical technique of sheer brute force.
An economist at the University of California at Berkeley has used the mathematical technique of dynamic programming to determine when football teams should kick a field goal and when they should go for the touchdown.
It is a hybridization approach, which combines the linear free energy concept of quantitative structure-activity relationship (QSAR) with the advanced mathematical technique of ANN.
(The paper is available, for $5, at www.nber.org/papers/w9024.) The paper uses the mathematical technique of dynamic programming -- the Bellman equation, named for Richard Bellman, a mathematician who died in 1984, is a central tool of the technique -- to analyze the value of different football strategies on fourth down.
Alternative, non-classical performance evaluation methods may be used, such as fuzzy logic, a mathematical technique of set-theory that can be applied to many forms of decision-making including research on engineering and artificial intelligence.
In this work is presented the simultaneous design and muti-objective optimization, of four RD process to produce Diphenyl Carbonate (DPC) which is a precursor in the production of Polycarbonate by the mathematical technique of Differential Evolution with Tabu List (DETL).
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Operations research is a discipline that uses the mathematical techniques of engineering to solve problems in business and industry.
Part I is a review of Walrasian general equilibrium, including the mathematical techniques of fixed points and genericity, both taught from an elementary point of view.
The advantages of such an approach are that it brings into play the powerful mathematical techniques of the calculus of variations and, perhaps even more important, that in dealing with very complex situations it may allow a systematic approach by computational means to a solution that may not be exact but is near enough the right answer to be useful.
The study confirmed the validity of the use of mathematical techniques of principal component analysis (PCA) and hierarchical cluster analysis (HCA) for source identification and principal component analysis/absolute principal component scores (PCA/APCS) receptor model for pollutant load quantification.
In order to transfer all the related formulae and mathematical techniques of the Stroh formalism to these two formalisms, the general solutions for the basic equations of lamination theory and their associated eigenrelations have been purposely arranged in the form of Stroh formalism.
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