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History of mechanical computing machinery

Evolution of automatic computation

Special-purpose digital data-processing computers

The Elecom 100 general purpose computer

The Quadratic Arc Computer

A system for counting and recording electrical impulses in printed decimal form

The logical organization of the new IBM scientific calculator

Some engineering problems requiring automatic computation

Solution of systems of linear inequalities on a digital computer

Computational problems of linear programing

Small problems on large computers

Firing table computations on the Eniac

Small-scale research and automatic computing machinery

Use of computing machinery in applications of information theory

An upper bound on the informational capacity of a synapse

The maze solving computer

A chart method for simplifying truth functions

Standardised printed circuit units for digital computers

Nonlinear switching elements

Optical elements for computers

The selenium rectifier: a non-linear and assymetric resistance element

Construction and use of subroutines for the SEAC

High order matrix computations on the UNIVAC

The solution of boundary value problems by the method of the kernel function

Boundary value problems for multiply connected domains

Digital storage using ferromagnetic materials

Some recent research on ultrasonic propagation in solid media

Static magnetic memory: its applications to computers and controlling systems

A static magnetic memory system for the ENIAC

Magnetic binaries in the logical design of information handling machines

The use subroutines on SWAC

The use of sub-routines in programmes

Progress of the whirlwind computer towards an automatic programming procedure

The education of a computer

Formal logic and switching circuits

Theorem minimization

A method for synthesis of two-valued feedback circuits

Characteristic numbers and their use in the decomposition of switching functions

Rectifiers as elements of switching circuits

The theory of counting techniques

The application of counting techniques

The solution of boundary value problems by the method of the kernel function

Content Provider	ACM Digital Library
Author	Bergman, Stefan
Abstract	The recent progress in computational machinery which opens unexpected and far reaching possibilities in applications puts new demands on certain branches of mathematics. In particular, it requires the development of formulas for solving problems which occur in applications. While in the classical mathematical approach the emphasis was put on the proof of the existence of a solution, in this new development we put an equal stress on the derivation of convenient formulas for representation of these solutions as well as on the question, "To what extent can we read various properties of the solution from the formula obtained; in particular, how do numerical data vary if some given parameter appearing in the solution changes?" Further, it is of importance to obtain unified methods, leading to procedures applicable to a great variety of problems.The situation thus created requires certain formulations of mathematical methods and tools in various mathematical fields. In the present lecture we shall discuss a new approach developed for solving boundary value problems in the theory of linear partial differential equations, which approach is also applicable in conformal mapping. In many respects this method seems to satisfy the demands indicated above.Since certain parts of computations can be repeated in very many instances, it seems advantageous to work out those procedures in which the computations can be divided into two parts: 1) computations which can be used in various problems and which can be carried out by big machines in special computational centers and stored once and for all; 2) those computations which have to be repeated in every particular case and which have to be carried out by smaller machines, for instance, ordinary punch-card machines or even hand computers.
Starting Page	187
Ending Page	192
Page Count	6
File Format	PDF
DOI	10.1145/609784.609808
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1952-05-02
Publisher Place	New York
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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