ACM-NATIONAL-CONFERENCE

The importance of determining an analytical function to fit a set of experimental data has long since been recognized. Efforts have been made to find reliable methods of relating an analytical function to a set of coordinates, and at the same time, to ...

Two of the most costly commodities of a computing machine are calculate speed and amount of storage space. It makes good economic sense to be able to utilize the machine so that both of these commodities are effectively increased. Here are presented ...

There has been a renewed interest of late in the problem of approximation in the Tchebycheff sense, that is of minimizing the maximum residues. Several methods 1, 2, 3, have already been discussed and many examples of approximating functions of one ...

In a previous paper on the subject Bernoulli's method was extended to cover those cases in which there were several roots of equal largest modulus. The method had an advantage over Graeffe's method in that it dealt only with the original roots, and the ...

The purpose of this paper is to show a numerical method of determining to any desired accuracy the real and imaginary roots of a polynomial equation, f(x) = 0, with real coefficients. The technique of using this method on a small digital computer is ...

For the purpose of this paper, we shall define a “simple” approximation to the real number X, X > O, as a number of the form (1) (equation) where A, B, C, and D are positive integers less than some preassigned upper limit M, and such that (2) (equation) ...

Business systems are “the mechanics by which and through which any given clerical function is performed...which enables management to fulfill organization purpose” (1), or are “methods of translating management policy into action (and) of finding the... ...

The subject of this paper is the use of an electronic computer for the technical analysis of stock charts. No new methods for prediction of stock fluctuations will be presented; but merely procedures currently being developed for speeding up the use of ...

The small company presents an untouched area for office automation. The problem in applying large scale Electronic Data Processing Equipment to these small companies is discussed. A solution consists of having a UNIVAC Computing Center perform “packaged”...

The Runge-Kutta method of solving systems of differential equations does not contain a simple way for estimating the truncation error or for detecting arithmetic mistakes. Usually two solutions with different values of the integration step interval h ...

Although numerous writers have stated that the class of single-step (“Runge-Kutta”) methods of numerical integration of ordinary differential equations is stable under calculation or round-off error, no one has given formal equations for the bounds on ...

Consider a system of linear difference equations approximating to a differential equation, and let the elements of the vector x represent the values of the dependent variable at the grid points. The system can be written as a system of ordinary ...

For the first method the classic tables of Legendre¹ are available which give functional values of both integrals, to 9 decimal digits of accuracy, by one degree increments of the amplitude and the modulus. For a very restricted range of Ø and k, table ...

The method of characteristics for axisymmetric flow is described in Sears (1) and elsewhere and it has been programmed to various degrees for several computing machines. We wish to describe here an extensive project in use on the IBM 701 at Convair, ...

The subject of this paper is a numerical procedure for the computation of the variables of axisymmetric rotational flow at a shock wave in a flow field computed by the method of characteristics. The procedure can be extended to the method of ...

The use of high-speed, general-purpose digital computers to control and coordinate the elements of real-time physical systems (e.g., air traffic control), poses several challenging problems in the area of system test and evaluation. As in more ...

This paper discusses some of the aspects of data-recording in real-time control systems. A “real-time control system” senses the conditions existing in some process, converts this into appropriately coded data, assembles it in one place, draws ...

Concerning the age-old argument on the relative merits of analog and digital computation, it has been said that the true future for scientific computation involves the union of the equipments by means of an analog-digital converting device. In this ...

A digital servomechanism is a sampled-data feedback control system utilizing a digital computer to perform sampling, error-detection and digital compensation for the system. It consists essentially of a digital computer, digital-analog converters, and ...

The simplest model of a mechanical system dictated by a known linear equation does not always suffice when simulating a mass-spring system. However, a mechanism can be simulated on an electronic analog computer when the set of linear differential ...

The servomultiplier (Ref. 1) continues to be the most precise four-quadrant multiplier for an electronic analog computer. Several electronic types which have been developed in the past five years are much faster but are lacking in repeatability and ease ...

The method of approximating an arbitrary function of one variable by a sequence of straight-line segments of suitable slopes is widely used to provide input functions for analogue computations. However, many of the mechanizations of this process are ...

The d.c. operational amplifier is the most important in the line of component building blocks used in an analog computer. Equipped with appropriate input and feedback networks, this amplifier is capable of voltage or current summation, integration and ...

Autoregression models have been used in the analysis of stochastic time series or time series which have been assumed to be stochastic after some kind of adjustment. In economics, meteorology, biology, etc., the time series data are non-stochastic and ...

Various techniques have been devised for sorting on general purpose computers. Most of these utilize magnetic tape units since they are necessary for storing the large quantities of data handled. The obvious disadvantage of a magnetic tape reel system ...

At the September 1955 Annual Meeting of A.C.M., the author presented a paper which described Automatic Digital Encoding System I, (ADES I), a system of automatic translation of mathematical formulas into computer programs. The present paper describes ...