A new general method for the synthesis of RC transfer functions is presented.Based on an extension of Brune's procedure for the synthesis of driving-point impedances, it makes use of canonical sections for controlling transmission zeros in much the same way as canonical sections are used by Darlington in synthesizing lossless two terminal-pair networks.The characteristic process of the method makes use of the following theorem, proof of which comprises the principal result of the report.Given a function F 1 () of suitable degree, realizable as an RC impedance or admittance, it is always possible to design an unbalanced two terminal-pair network that: (a) produces a transmission zero or single pair of conjugate zeros at any given point or points, respectively, not in the right half-plane; and (b) produces the prescribed function F 1 (k) when terminated in a second function F 2 (X), also RC, the degree of which is less than the degree of F 1 ().The networks obtained by the new method take the form of ladder networks cascaded with bridge sections similar to the well-known twin-T null network. The "zero sections"are obtained one at a time, each by a single application of the theorem, and this process is repeated until the original function is completely developed.When used in combination with existing synthesis techniques the method provides a highly flexible procedure which allows limited control over impedance levels and insertion loss.
This paper describes a new method for syntactic analysis of English. Instead of the conventional subject-predicate structure as a basis for analysis, elementary sentence patterns are used. It is observed that there are two basic sentence formats in English. One, using a transitive verb, consists of the sequence noun, verb, noun, noun. The other, using an intransitive verb, consists of the sequence nou_.._nn, verb, adjective, noun. In each of these basic forms, syntax is specified by the word order. Since there are 64 ways to arrange four words when they are taken one, two, three, and four at a time, there are 12B elementary or cannonical sentences to be studied. The central goal of analysis is to determine the particular c annonical sentence corresponding to a given statement.
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