By Kenneth E. Iverson
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Extra resources for A Programming Language.
Birkhoff and MacLane, (1941)] because (1) the direction of the transformation (from a to c) is unequivocally indicated, and (2) the notation directly indicates a straightforward and efficient method for actual execu tion, namely, indirect addressing. 17 MapjJing and jJermutations 33 Consequently, if p, q, ... , t are vectors, each contained in b, then each can be represented jointly by the vector b and a mapping vector. , are texts, the total storage required for b and the mapping vectors might be considerably less than for the entire set of texts.
The symbols used for literals will be roman letters (enclosed in quotes when appearing in text) and standard numerals. 8. Miscellaneous signs and symbols when used as literals will be enclosed in quotes in both programs and text. , for mnemonic reasons) to denote a variable by a string of alphabetic or other symbols rather than by a single symbol. The monolithic interpretation of such a string will be indicated by the tie used in musical notation, thus: inL', inv, and INV may denote '-' ---------- ~ the variable "inventory," a vector of inventory values, and a matrix of inventory values, respectively.
In the foregoing developnlent, the concepts of inclusion and sinlilarity are equivalent to the concepts of inclusion and equality in the conventional treatrnent of (unordered) sets. The renlai ning deflnitions of intersect ion, difference, and union differ fronl the usual fornlulation in that the result of any of these operations on a pair of ordered sets is again an ordered set. With respect to sinlilarit)', these operations satisfy the Sallle identities as do the analogous conventional set operations on unordered sets \vith respect to equality.
A Programming Language. by Kenneth E. Iverson