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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A final compilation of 44 issues of the [JOSS Newsletter], which has been issued monthly since November 1967 to users of JOSS, RAND's interactive, time-shared computer system designed for the solution of small numerical problems.
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Three equivalent linear programming formulations are developed for the problem of assigning sanitation men in a district to shifts and days of the week. Payroll costs are balanced against the cost of uncollected refuse. One formulation allows probl...
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Using the methods of general relativity, Schiff in 1939 derived the vector form of Maxwell's equations in a rotating coordinate system. This paper shows that these equations may also be derived classically. 12 pp. Ref. (AR)...
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Reviews a book translated from the French in 1968 that presents a number of mathematical models useful for decisionmaking, in a form simple enough for use by one with a minimum knowledge of mathematics. The literature in this field has developed almo...
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This study provides a basis for assessing the various continuum models of hypersonic flows for the strong-interaction and other regimes corresponding to higher degrees of rarefaction, and for identifying their domains of applicability.
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Discussion of the strong dependence of computer science on probability and statistics. This RAND study in computational mathematics and its applications offers a number of examples to illustrate this dependence and is a potentially profitable source...
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This investigation extends existing low-Reynolds-number hypersonic flow theory to include magnetic-field effects.
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Description of a round robin tournament in which each player plays one game with every other player, and each game ends in a win for one of the players. In a tournament of this type with 15 players, it is shown that some 5 players will be involved i...
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A discussion of appropriate transformations that effectively reduce nonlinear zero-one formulations to equivalent linear zero-one formulations. The transformation is applied to a particular type of investment problem in which the high-risk investment...
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Articles treating aerothermodynamics, hypersonic flight, and thermal stress.
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A continuum description of the hypersonic flow over a sharp flat plate in the merged-layer regime (where the boundary layer and its outer flow are no longer distinct).
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An investigation of the effects of wall temperature and of a magnetic field on the flow field at the stagnation point of blunt-nosed bodies in low-Reynolds-number hypersonic flow.
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A description and listing of the experimental code used to obtain the computational experience reported in RM-5644-PR.
Journal Article
Many problems in operations research, engineering, and economics require that several objectives be examined simultaneously.
Journal Article
Minimum Rayleigh number that will induce a state of convective motion in a Boussinesq fluid where temperature gradient is in direction of body force.
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Application of simple Newtonian snowplow theory to the complex problem of unsteady forces on a slender, linearly accelerating airfoil or body of revolution traveling at hypersonic speed.
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The text of a talk given to high school mathematics teachers as an introduction to basic ideas of four of the categories of creative mathematics in which RAND mathematicians have made substantial contributions. The author develops his discussion of ...
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The December issue features 50 pages on the most important achievements in cybernetics, computer technology, power engineering, bioengineering, and mathematics during 1966. Progress in computer medical diagnosis for gastric disease, heart disease, a...
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Presents the experimental code used to obtain the computational experience reported in two recent RAND publications on linear programming. The code was developed to test the usefulness of certain innovations applied to a simple Balasian algorithm. ...
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In a recent series of papers published in Mathematics Magazine, Brother U. Alfred investigates the conditions under which the sum of the squares of N consecutive odd integers can be a square. He derives several theorems to eliminate many values of N...
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