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Some Experiments in Algebraic Manipulation by Computer

Technical Report ·
DOI:https://doi.org/10.2172/4672727· OSTI ID:4672727
 [1];  [1]
  1. New York Univ. (NYU), NY (United States). Courant Inst. of Mathematical Sciences, AEC Computing and Applied Mathematics Center
A set of subroutines to allow algebraic manipulations on the IBM 7094 computer has been written using a List Processor, SLIP. A series of four problems of increasing difficulty were solved using these routines. These problems were: 1) To expand and simplify a polynomial in three variables. 2) To substitute one truncated power series into another. 3) To obtain the series solutions of two ordinary differential equations by equating coefficients. 4) To obtain a partial expansion of the Fourier series solution to Laplace’s equation on a rectangular region with one irregular boundary.
Research Organization:
New York Univ. (NYU), NY (United States). Courant Inst. of Mathematical Sciences, AEC Computing and Applied Mathematics Center
Sponsoring Organization:
US Atomic Energy Commission (AEC)
NSA Number:
NSA-19-007837
OSTI ID:
4672727
Report Number(s):
NYO--1480-11
Country of Publication:
United States
Language:
English

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