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Journal of the ACM (JACM), Volume 11 Issue 1, Jan. 1964

On Ianov's Program Schemata
J. D. Rutledge
Pages: 1-9
DOI: 10.1145/321203.321204
Ianov has defined a formal abstraction of the notion of program which represents the sequential and control properties of a program but suppresses the details of the operations. For these schemata he defines a notion corresponding to computation...

Tape Sets and Automata
R. R. Brown
Pages: 10-14
DOI: 10.1145/321203.321205
Tape sets and a tape set product are defined, and relationships are found between a table of products of tape sets and elements in the operation-preserving group of a finite automaton....

Universality of Tag Systems with P = 2
John Cocke, Marvin Minsky
Pages: 15-20
DOI: 10.1145/321203.321206
By a simple direct construction it is shown that computations done by Turing machines can be duplicated by a very simple symbol manipulation process. The process is described by a simple form of Post canonical system with some very strong...

SNOBOL , A String Manipulation Language
D. J. Farber, R. E. Griswold, I. P. Polonsky
Pages: 21-30
DOI: 10.1145/321203.321207
SNOBOL is a programming language for the manipulation of strings of symbols. A statement in the SNOBOL language consists of a rule that operates on symbolically named strings. The basic operations are string formation, pattern matching and...

Mixed Congruential Random Number Generators for Binary Machines
T. E. Hull, A. R. Dobell
Pages: 31-40
DOI: 10.1145/321203.321208
Random number generators of the mixed congruential type have recently been proposed. They appear to have some advantages over those of the multiplicative type, except that their statistical behavior is unsatisfactory in some cases. It is shown...

Calculations with Pseudo-Random Numbers
Frank Stockmal
Pages: 41-52
DOI: 10.1145/321203.321209
Two pseudo-random number generators are considered, the multiplicative congruential method and the mixed congruential method. Some properties of the generated sequences are derived, and several algorithms are developed for the evaluation of...

Two New Classes of Algorithms for Finding the Eigenvalues and Eigenvectors of Real Symmetric Matrices
C. Donald La Budde
Pages: 53-58
DOI: 10.1145/321203.321210
The algorithms described in this paper are essentially Jacobi-like iterative procedures employing Householder orthogonal similarity transformations and Jacobi orthogonal similarity transformations to reduce a real symmetrix matrix to diagonal...

A Direct Method for Chebyshev Approximation by Rational Functions
Josef Stoer
Pages: 59-69
DOI: 10.1145/321203.321211

Tables of the Generalized Stirling Numbers of the First Kind
William F. Pickard
Pages: 70-78
DOI: 10.1145/321203.321212
The generalized Stirling numbers of the first kind are defined, certain of their basic properties are discussed, and tables are given for the square grid k = 0(1)10 and j = 0(1)10 with l =...

A Mathematical Method for the Automatic Scaling of a Function
T. Giammo
Pages: 79-83
DOI: 10.1145/321203.321213
This paper describes a procedure for producing scales for use in automatic plotting of data. The scale and associated origin of the plot produced by this procedure are “round numbers.” The procedure itself is independent of the range...

Application of Ternary Algebra to the Study of Static Hazards
Michael Yoeli, Shlomo Rinon
Pages: 84-97
DOI: 10.1145/321203.321214
This paper is concerned with the study of static hazards in combinational switching circuits by means of a suitable ternary switching algebra. Techniques for hazard detection and elimination are developed which are analogous to the...

Estimation of Power Spectral Density by Filters
E. J. Gauss
Pages: 98-103
DOI: 10.1145/321203.321215
An algorithm is presented which differs from previous methods by being more adapted for searching over wide frequency ranges and which permits the estimation of spectral density as a function of time as well as of frequency. The algorithm may...

Message Route Control in a Large Teletype Network
Maurice Pollack
Pages: 104-116
DOI: 10.1145/321203.321216