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The TRIGMAN system, manipulates Poisson Series (trignometric series with polynomial coefficients). It consists of a set of FORTRAN preprocessor written in SNOBOL and a set of FORTRAN subroutine for elementary symbolic operations. The TRIGMAN source language resembles FORTRAN but with additional...
J. A. Campbell 1 has proposed the computation of his Y 2n polynomials as a challenging problem for symbolic algebra systems. These polynomials are defined by a recurrence formula involving summations over two and four indices, and a special differentiation rule. Since the number of terms in Y 2n...
Approach 1: The problem description, as given, was programmed. The time for computing the firs few terms (in seconds): input: 5.9, Y2: 2.2, Y4: 5.9, Y6: 13.6, Y8: 37.5, Y10: 90.5. These times are on a standard MACSYMA system running on a PDP-10 with 2-microsecond core. This version used only...
We present here a REDUCE 2 1 solution of the problem proposed by Campbell 2 for the computation of a class of functions useful in the phase-integral approximation. The program follows closely the published method (3). An alternative solution to the problem is given elsewhere in this issue 4.
Various methods for constructing a series solution of the equation EQUATION are presented. The form of the solution is similar to the JWKB approximation and is discussed by Froman (1). Each method has been programmed for the CAMAL system and comparisons of performance are made. The resource...
The SAC-1 program was compiled with the IBM FORTRAN-G Compiler on the IBM 360/65, running under OS-MVT. The amount of core used was 110K words. (Not all this space was used for n = 1,...,11. since available space was exhausted while computering n = 12.)
The program has been written in SYMBAL for the CDC 6600 computer in Vkstberga, Stockholm. This is a standard configuration with a 6613 central processor, ten peripheral processors and a 131072 60-bit word core memory with 0.1 ps access time. About 3 machine instructions/us can be performed....
The following SCRATCHPAD solution of Problem #2 was run on a 1280K virtual machine under CP/CMS time sharing system on a System/360 model 67. The conversation below is a modification of a program originally written by Yngve Sundblad, August 1972. The program uses symmetrised formulae, saves...
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