RAND has explored, among other math-related topics, mathematics curricula in primary education and the role of mathematics in innovation, e.g., in the evaluation of new medical technologies or the development of methodologies such as game theory.
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The use of linear programming algorithms for solving Air Force stockage problems such as the following: design of a mobility kit of reparables; single multi-weapon base stockage of reparables, recoverables and war reserve supplements, and EOQ items...
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This paper presents a practical technique for obtaining the best linear unbiased (B.L.U.) estimator for a large class of error correlation models.
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The use of minimization of mean-square error as a technique for designing classifiers.
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This paper outlines a theory of Probabilistic Information Processing and describes three experimental studies testing that theory.
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It is well known that the response to any given incident pulse can be constructed from the solution of the harmonic wave problem.
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Treatment of Markov renewal programming by linear fractional programming. Particular attention is given to the resolution of tied policies that minimize expected cost per unit time. The multichain case is handled by a decomposition approach. 22 pp...
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Calculation of unsteady forces acting on two-dimensional oscillating airfoils by Newtonian snowplow theory.
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An investigation of the effects of surface mass transfer on the viscous hypersonic shock layer of a blunt body.
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An aircraft-to-target assignment problem is formulated and shown to be a special case of the "Weighted distribution problem" (also called the "Generalized transportation problem") of linear programming. An algorithm by H. M. Markowitz for the soluti...
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Comments and replies between the author and colleagues on single-sided angle modulation (SSB-FM).
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Review of book: Richard E. Barlow and Frank Proschan (with contributions by Larry C. Hunter), Mathematical Theory of Reliability.
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Results of an investigation on the drift distance between two satellites caused by a small difference in ballistic coefficent which might be due to differences in weight, frontal area, geometry, and surface roughness. This analysis is limited to circ...
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A discussion of the amount of emphasis that should be placed on mathematics or quantitative analysis in the business school curriculum....
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A discussion of the problems encountered when using linear programming as a subroutine of a larger routine. Proposals are made for eliminating the tolerance selection problem and for improving the accuracy of inversions. Sample programs are given i...
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Presentation of a method by which some simple algebraic peculiarities of the branch of mathematics known as number theory might be incorporated into a machine for generating proofs in number theory. Presentation of a method by which some simple alge...
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The Memorandum develops and uses some of the mathematical tools required for nonlinear programming. Special emphasis is placed on the notion of the gradient and convexity, the maximization of nonlinear functions without constraints, and some propert...
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Project Rand's basic supporting studies in mathematics have shown how to derive fundamental properties of the solution of u" + p(x)u = 0 directly from the fact that it is the Euler equation. This memorandum demonstrates a Sturm oscillation theorem a...
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Quasilinearization provides an effective computational tool for the solution of a wide class of nonlinear two-point and multi-point boundary-value problems; e.g., Euler equations, orbit determination, partial differential equations, vectorcardiology ...
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A basic text in linear programming, the solution of systems of linear equalities.
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A summary of the main results to date of the SCEMP Project (Standardized Computational Experiments in Mathematical Programming), involving the solution of nine linear programming problems using thirty variations of the simplex method. The statistics...
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