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This note describes a rational approximation for the error function which has been found useful in a subroutine as an asymptotic expression of improved accuracy. While the method of the approximation is along well-established lines 1, 2, 3, 4 a brief description may be of interest since the...
Since computers have means to detect overflow on addition or subtraction, this can be used in a multiple precision addition-subtraction subroutine to obviate a sign analysis. Consider all integers in the computer to be expressed “radix t ”, that is, in the form a = a 0 + a 1 t + ··· + a n...
COBOL (COmmon Business Oriented Language) is an English Language programming system which is capable of being implemented on a wide variety of electronic digital computers for use in the solution of business data processing problems. The idea was conceived in May, 1959 at a meeting called in the...
The k -generalized Fibonacci numbers are defined as in 1. A polyphase merge (merging an equal number of sequences from k tapes onto a single unused tape) using k +1 tapes is defined in terms of linear combinations of these numbers. A method is described to output sequences onto k of k +1 tapes...
The suggestions in this paper are part of the terminology used in work for the University of Pennsylvania's Office of Computer Research and Education. The work is jointly supported by the National Science Foundation * and the Air Force Office of Scientific Research.†
A new 48-bit pseudo-random number generator, suitable for several computers, was tested statistically for randomness to determine its adequacy for use in Monte Carlo programs. Frequency tests, distributions of certain low-order moments, runs up and down, and runs above and below the mean were...
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