April 1961 - Vol. 4 No. 4
Features
Topological ordering of a list of randomly-numbered elements of a network
A network of directed line segments free of circular elements is assumed. The lines are identified by their terminal nodes and the nodes are assumed to be numbered by a…
Eigenvalues of a symmetric 3 × 3 matrix
Recently, in order to find the principal moments of inertia of a large number of rigid bodies, it was necessary to compute the eigenvalues of many real, symmetric 3…
Bessel functions of integral order and complex argument
The FORTRAN II source language [1, 2] places rather severe restrictions on the form a subscript may take, primarily because of the manner in which indices are incremented…
Programmed error correction on a decimal computer
In a previous paper [1], B. Dimsdale and I reported on the use of programmed Hamming codes for error correction on a 7090. The paper generated much interest, but several…
Further survey of punched card codes
The valuable “Survey of Punched Card Codes” prepared by Smith and Williams (Comm. ACM 3, Dec. 1960, 638) unfortunately omits the card codes of European…
Using a generalization of Newton's method, a non-linear parabolic equation of the form ut - uxx = g(u), and a non-linear elliptic equation uxx + uyy = eu, are solved…
The Leviathan studies are investigations into how people operate in large social organizations. Examples of such groups are a large military command, a governmental…
The objective is to investigate significant developments in advanced computers and to explore the relationship between programming and new concepts of computer…