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 ABSTRACT
A brief account is given of a notational device that is very useful in the formal representation of syntaxes, string relationships and string transformation procedures and also of computing procedures that deal with arrays of functions of many variables. The device consists of the use of certain “continued operation” or “collective” symbols that are analogous to the summation symbol ∑ and continued multiplication symbol ∏ of conventional mathematics.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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BARNETT, M. P. The Scheme A Language for the description of string relationships. MIT Cooperative Computing Laboratory Tech. Note No. 16, 1962.
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BARNETT, M. P., ET AL. Unpublished work.
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BARNETT, M. P. Indexing and the A-notation. In preparation.
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VOORHEES, E. ST AL. ALGAE I. Los Alamos, 1951.
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CAJORI, F. A History of Mathematical Notations, Vol. II. Open Court Publishing Co., Chicago, 1929.
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EULER, L. Institutiones calculi differentialis, Cap. I, par. 26, p. 27. St. Petersburg, 1755.
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GAUSS, K. F. Werke, Vol. III, p. 144. Goettingen, 1866.
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CITED BY 6
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T. E. Cheatham, Jr. , Kirk Sattley, Syntax-directed compiling, Proceedings of the April 21-23, 1964, spring joint computer conference, April 21-23, 1964, Washington, D.C.
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