Columbia Engineering Quarterly, November 1949
DURING recent years great strides have been made in all fields of scientific research, and a major factor in this advancement has been the extensive use of automatic computing methods and equipment. Today calculations are performed automatically in laboratories throughout the country. The development of these computing laboratories is of particular interest to Columbia students since the earliest ones were established here at the University. The Columbia University Statistical Bureau was established in the late twenties for the use of educators and statisticians. The Astronomical Bureau, created in 1934, directed by Dr. W. J. Eckert, and operated jointly by Columbia University, the American Astronomical Society, and International Business Machines Corporation, functioned as a non-profit organization where astronomers from all over the world could come to have their calculations performed. In 1945 IBM created a Department of Pure Science, appointed Dr. Eckert as its director, and founded the Watson Scientific Computing Laboratory on the University campus.
The primary purpose of the Watson Laboratory is research in the various branches of science, especially those involving applied mathematics and numerical calculation. The services of the laboratory are offered gratuitously to any scientist or graduate student engaged in research which makes a significant contribution to progress in the fields of science, and which uses calculating machines to achieve that end. Each year two Watson Laboratory fellowships in applied mathematics are awarded to students whose study or research involves large-scale computations. Members of the staff offer courses of instruction in their field of interest under the auspices of different departments of the University. Courses for graduate students include the operation and use of the machines, and numerical methods; academic credit for the courses may be obtained by registering with the University in the usual manner. Special classes in the operation of the machines are given at regular intervals to professional people, visiting scientists from all over the world, and graduate students working for their Doctorate degrees. An additional function of the Watson Laboratory is the dissemination of technical information concerning mathematical machine methods and mathematical tables; a comprehensive library covering these subjects is available.
Research has been successfully completed in many fields of science at the laboratory by members of the staff and visiting scientists. The following is a partial list of projects completed or in progress:
Most of the machines read and write through the use of the punched card which furnishes a means of handling data automatically. The cards can thus be processed through any series of calculators and have any desired sequence of operations performed on them. The primary advantage of the punched card technique is that a large number of similar operations can be performed in quantity. After punching initial values on the cards, the machine procedure is automatic. Punching may take place in any one of eighty columns of the card. Each column is subdivided into twelve distinct positions, representing the integers 0 to 9 as well as two special punching positions referred to as X and Y. The X punch is used principally to designate a special operation or a negative number. Letters of the alphabet are recorded by two punches in a column, a combination of an X, Y, or 0, with any one of the integers 1 to 9 (see fig. 1).
Figure 1. Tabulating Card showing 12 punching positions and combinations of punches to indicates letters.
In all machines the principle of reading the card is the same. The holes are punched into the cards and are read by means of electrical contacts made through the holes. The card, acting as an insulator, passes between a wire brush and a brass roller (see fig. 2).
A hole punched in the card permits the brush and the roller to make contact, thus completing an electrical circuit; the electrical impulse is made available on a pluggable control panel, and the timing of the impulse is determined by the position of the hole in the card. All functions of the machine are governed by the direction of these impulses on the control panel, and as a result of the flexibility of this panel, a large number of operations can be performed. A large percentage of the problems encountered in numerical computation can be handled efficiently on the standard IBM machines. The first step in the approach to these problems is to translate the original data into the language of the calculators. That is, to record it in the form of punched holes on standard cards. This is the function of the Key Punch. The desired information is transcribed onto the card by depressing the keys on the machine in line with the appropriate column. These cards may be fed into the Key Punch either manually or automatically. As each column is punched, the card advances automatically to the next punching pbsition. The numerical punches have fourteen keys; one for each of the twelve punching positions, a space key, and a card eject key. The alphabetical punches have, in addition, a typewriter keyboard which automatically punches two holes per column. Having been coded by the Key Punch, the cards are then ready for passage through any of the other machines required for the solution of the problem.
The Sorter is used to arrange punched cards in any desired numerical or alphabetical order depending upon the information on them. The cards to be sorted are fed from a hopper to a single brush, which reads the selected column and sorts each card into the proper one of the thirteen available pockets. There is a pocket for each of the twelve punching positions and one for blank columns. By successive sortings the cards are arranged in any desired order. The machine, which operates at a speed of 450 cards per minute, is equipped with a counter to record the number of cards passing through.
The Alphabetic Interpreter is designed to translate the numerical or alphabetical information in the card into printed figures on either of two lines at the top of the card. Thus the punched card is more easily read, and may be used as a file card as well as in the machines.
The Accounting Machine is a high-speed adding and printing machine. It reads data from a card, adds and subtracts them into counters, and prints on a sheet of paper information from the cards or totals from the counters. The machine lists alphabetical or numerical data at the rate of eighty cards a minute, or accumulates as many as eighty digits of totals at 150 cards a minute.
The Reprodncing Punch transcribes all or any part of the data punched on one set of cards onto another set, or copies data from one master card onto a group of detail cards. The punch has a comparing unit which compares the two sets of data and indicates any disagreement between the two. The machine may be adapted for use as a Summary Punch to record on a new card amounts which have been accumulated in the Accounting Machine.
The Collator performs some of the functions of the Sorter in a more efficient manner. It files two sets of cards together, selects particular cards in any of four selection pockets, matches two sets of cards according to a control number, and checks the sequence of a set of cards. The machine is very flexible and permits the handling of cards according to a complicated pattern involving the comparison of two control numbers. Cards may pass through the Collator at the rate of 240 to 480 a minute.
The Electronic Calculating Punch is a high-speed machine that utilizes electronic circuits for performing all basic operations. It adds, subtracts, multiplies, and divides the numbers fed into it on a card, and punches the answers on the same card or a subsequent one. It performs these operations repetitively and in any order in a fraction of a second. The Calculating Punch reads factors punched on a card, and performs additions, subtractions, multiplications, and divisions, in any order desired. Separate results may be punched for each type of calculation, or the results may be stored and used as a factor for following computations. This machine has calculated eighth order differences of an eleven-digit function and many complicated equations involving a large number of operations.
In addition to the standard machines described above, there are at the laboratory a number of specially designed calculators which operate by means of relay networks and electronic circuits. Below is a brief description of these special machines.
The Relay Calculator performs all the basic arithmetical operations, including the determination of square roots through a complicated relay network. The extreme flexibility of this calculator is due to its large internal memory, its speed in performing computations, its ability to simultaneously read four cards and punch a fifth, and its capacity for operating under an extensive and varied program. The machine is equipped with a collating circuit to facilitate table look-up operations. A great many complicated problems have been solved on a Relay Calculator including multiplication of harmonic series, multiplication of matrices, and sixth order differential equations.
The Card-Operated Sequence Calculator consists of an Accounting Machine that reads, adds, subtracts, and stores the data, a Summary Punch that punches the final values, a relay box to provide for flexibility of control of the operations, and a unit that performs multiplications and divisions. The operations of the other calculators are usually programmed through the wiring on the control panel, while this machine has essentially one basic control panel set up and is governed by coded punches in the card. This calculator has proven to be particularly adept at computing orbits of asteroids.
The Linear Equation Solver is an electrical device for the solutIon of simultaneous linear equations up to and including the twelfth order. After coefficients of the equations have been set up on dials, switches, or punched cards, the different variables are adjusted until a solution is obtained. The method of solution is one which gives very rapid convergence. This machine was built at the laboratory by Mr. Robert M. Walker, a member of our staff, and Professor Francis J. Murray of the University's mathematics department.
The Card-Controlled Measuring and Recording Machine is designed primarily for the measurement of astronomical photographs, although it can be readily applied to photographs in any field. A photographic plate of a portion of the sky which includes the star in question is introduced into the machine together with a punched card indicating the approximate coordinates of the star. The machine then automatically reads the punched card, locates the star on the photographic plate from these approximate coordinates, accurately measures its position, and records this measurement on a card. The punched card record is then available for mathematical treatment.
Since the inception of the Astronomical Bureau in 1934, several score of other punched card laboratories have been established throughout industry and government. Those laboratories in operation during the war years played a critical part in our national defense program. In this group were the Ballistic Research Laboratories at Aberdeen, Maryland and Dahlgren, Virginia. In this same category was the U.S. Naval Observatory which prepared astronomical tables for use in air and sea navigation, astronomy and surveying. In industry, computing laboratories have assumed a prominent role in both pure and applied scientific research. Punched card techniques have been employed, for example, in the solution of problems concerned with the stress and strain analysis of aircraft structures and the vibration analysis of large machinery.
An illustration of the application of punch card equipment in problems of industry arises in the design and construction of ships, where it is necessary to specify the exact locations of a large number of points on the surface. The designer may accomplish this by considering various cross-sections through the hull and representing the outline of each of these sections by a polynomial of, say, the fifth degree (see fig. 3).
Figure 3. Cross-Section Through Vessel
|The values of the constants, a0, ..., a5, in the equation will vary with each section taken, because of the curvature of the surface in the longitudinal direction. Therefore, if the vessel is divided into 200 cross-sections, and it is necessary to determine 100 points on each side of the hull for each cross-section, the polynomial would have to be evaluated 20,000 times. The use of punched card equipment in the solution of this problem translates an extremely cumbersome job into one which is automatically computed by machine after the original planning is completed.|
Miss Eleanor Krawitz, who holds the distinction of being the first feminine
author to contribute to the COLUMBIA ENGINEERING QUARTERLY, can boast of a
good many other notable accomplishments. She was graduated in 1943 from
Brooklyn's Samuel I. Tilden High School, where she had been a member of the
scholastic honorary society "Arista." At Brooklyn College she was Treasurer
of Pi Mu Epsilon, honorary Mathematics society, until she received her
B.A. in Mathematics in 1947. She then worked as a substitute teacher in
Midwood High School and in her Alma Mater, Tilden High, but shortly set
aside her high school teaching career to take her M.A. in Mathematics at
Today Miss Krawitz is Tabulating Supervisor in the I.B.M. Thomas J. Watson Computing Laboratory at Columbia University. Not only is she instructing Astronomy classes in the Graduate School on the operation of the computers, but she is also engaged in setting up procedures for the computation of problems in physics, mathematics and astronomy.
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