Published Research

Jan 1, 1949

Solutions of a Class of Continuous Games.

A report on a general class of games whose solutions are discrete probability functions. A special case is presented in which one player has a pure best strategy. 12 pp...

Jan 1, 1949

The Le Chatelier Principle in Linear Programming

An extended study of the Le Chatelier principle which determines a cheapest diet conforming to prescribed nutritional standards. The extension considered is the effect of an increased price of an ith food in the linear programming problem....

Jan 1, 1949

On Non-Zero Games and Stochastic Processes

An introduction to a class of stochastic games which arose in an attempt to find an approach to non-zero-sum games.

Jan 1, 1949

A Mathematical Model of an Air Transportation System

A development of a mathematical model of an air transportation system in order to study the most efficient program of operations for transporting a given amount of goods between two fixed locations per unit of time.

Jan 1, 1949

A compilation of physical and chemical data pertaining to self-igniting fuels for ramjet propulsion.

A list of 147 chemical compounds which have low activation energies and relatively high heats of combustion and flame stabilities and which may be useful in ramjet engines either as fuels or as fuel additives....

Jan 1, 1949

Pursuit path method: maneuvering bomber.

A graphical method in which pursuit course attacks, generated as a bomber turns, are determined in relative bomber motion. From this system of plotting, the maneuvering bomber attack plots may be used as overlays on nonmaneuvering attack plots. This ...

Jan 1, 1949

Occurrence of improbable states in a modified Ehrenfest model--part I

A study of a physical model with a continuous time parameter, closely related to the Ehrenfest model, to help reconcile certain apparent incompatibilities between thermodynamic laws and classical mechanics....

Jan 1, 1949

Some Statistical Problems Connected with Stochastic Processes

A treatment of the problem of testing the hypothesis that a sample of [n] independent, identically distributed random variables has the common continuous distribution function [F(x)] specified in advance.

Jan 1, 1949

The economic sinews of modern war: physical limitations on war production

A report on the munitions of the U.S., the United Kingdom, Canada, Germany, and Japan in 1944. By indices of output and input, the munitions outputs are compared with the total economy-wide consumption of metals and energy....

Jan 1, 1949

Application of concepts from kinetic theory of gases to interception problem.

An application as an analogy of the kinetic theory of gases to those phases of the intercepting problem which involve random motion of the interception or intercepted aircraft. A derivation of equations for the mean free paths of bomber and fighter a...

Jan 1, 1949

A preliminary model for an air battle.

A preliminary air battle model to determine the survival probabilities in a given situation. A formation of bombers entering defended territory is detected by an early-warning network. Long-range fighters, under broadcast control, take off to interce...

Jan 1, 1949

Local Defense of Targets of Equal Value

An analysis to determine optimal attack and defense strategies. Both opponents know each other's capacities, but not each other's choice of strategies. (See also RM-320, RM-329.)...

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Published Research

Error

Solutions of a Class of Continuous Games.

The Le Chatelier Principle in Linear Programming

On Non-Zero Games and Stochastic Processes

A Mathematical Model of an Air Transportation System

A compilation of physical and chemical data pertaining to self-igniting fuels for ramjet propulsion.

Pursuit path method: maneuvering bomber.

Occurrence of improbable states in a modified Ehrenfest model--part I

Some Statistical Problems Connected with Stochastic Processes

The economic sinews of modern war: physical limitations on war production

Application of concepts from kinetic theory of gases to interception problem.

A preliminary model for an air battle.

Local Defense of Targets of Equal Value

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