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Journal ArticleDOI

The synthesis of two-terminal switching circuits

Claude E. Shannon
- 01 Jan 1949 - 
- Vol. 28, Iss: 1, pp 59-98
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TLDR
A basic part of the general synthesis problem is the design of a two-terminal network with given operating characteristics, and this work shall consider some aspects of this problem.
Abstract
THE theory of switching circuits may be divided into two major divisions, analysis and synthesis. The problem of analysis, determining the manner of operation of a given switching circuit, is comparatively simple. The inverse problem of finding a circuit satisfying certain given operating conditions, and in particular the best circuit is, in general, more difficult and more important from the practical standpoint. A basic part of the general synthesis problem is the design of a two-terminal network with given operating characteristics, and we shall consider some aspects of this problem.

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Citations
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Book ChapterDOI

The Complexity of Computations

Pavel Pudlák
TL;DR: This chapter provides a survey of the main concepts and results of the computational complexity theory, starting with basic concepts such as time and space complexities, complexity classes P and NP, and Boolean circuits and two related ways to make computations more efficient.
Proceedings ArticleDOI

Improved low complexity fully parallel thinning algorithm

TL;DR: A fully parallel iterative thinning algorithm called MB2 is presented, which favourably competes with the best known algorithms regarding homotopy, mediality, thickness, rotation invariance and noise immunity, while featuring a speed improvement by a factor of two or more owing to a smaller number of operations to perform.
Journal ArticleDOI

SIGACT news complexity theory column 42

TL;DR: Here is a real gift to the field from David Johnson: After a thirteen year intermission, David is restarting his NP-completeness column, and his column will now appear about twice yearly in ACM Transactions on Algorithms.
Journal ArticleDOI

Detection of group invariance or total symmetry of a Boolean function

TL;DR: In this paper, a method for determining whether a Boolean function possesses any group invariance is presented, that is, whether there are any permutations or primings of the independent variables which leave the function unchanged.
Journal ArticleDOI

Transforming Probabilities With Combinational Logic

TL;DR: Novel techniques for synthesizing combinational logic that transforms source probabilities into different target probabilities are demonstrated, showing that for any integer n ≥ 2, there exists a single probability that can be transformed into arbitrary base-n fractional probabilities.
References
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Journal ArticleDOI

A logical calculus of the ideas immanent in nervous activity

TL;DR: In this article, it is shown that many particular choices among possible neurophysiological assumptions are equivalent, in the sense that for every net behaving under one assumption, there exists another net which behaves under another and gives the same results, although perhaps not in the same time.
Journal ArticleDOI

A symbolic analysis of relay and switching circuits

TL;DR: It will be shown that several of the well-known theorems on impedance networks have roughly analogous theorem in relay circuits, including the delta-wye and star-mesh transformations, and the duality theorem.
Book

The axiomatic method in biology

J. H. Woodger
TL;DR: Interestingly, the axiomatic method in biology that you really wait for now is coming, and it's significant to wait for the representative and beneficial books to read.