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Titlebook: Coding Theorems of Information Theory; Reihe: Wahrscheinlic J. Wolfowitz Book 19611st edition Springer-Verlag Berlin Heidelberg 1961 coding

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Book 19611st editione material should be arranged. In determining the final arrangement I tried to obtain an order whichmakes reading easy and yet is not illogical. I can only hope that the resultant compromises do not earn me the criticism that I failed on both counts. There are a very few instances in the monograph w
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Combinatorial Preliminaries,terest in these properties will become apparent in Chapter 3. By at once proving the necessary facts we gain in efficiency at the expense of a temporary lack of motivation. To avoid the trivial we assume, throughout this monograph, that . ≧ 2 and . ≧ 2; the main interest in application will usually be for large ..
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The Semi-Continuous Memoryless Channel,” is of engineering origin.) Without any essential loss of generality we take the space of the output alphabet to be the real line. This is done only to avoid ponderousness, and the extension to the case where the space of the output alphabet is any space on which is defined a .-algebra of sets is trivial.
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Mathematical Miscellanea,ich are basic in published treatments of the subject, but of which no use was made in this monograph. The discussion of Section 5.6 describes the use to which these results are put. A comparison with the methods of Chapter 5 may be instructive.
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Springer-Verlag Berlin Heidelberg 1961
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H. H. Posey,J. R. Kyle,W. N. AgeeLet . (. | .), . = 1, ... , ., be nonnegative numbers such that .is a probability .-vector. The function . (· | ·) will now play the role of a “channel probability function” (c.p.f.).
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The Discrete Memoryless Channel,Let . (. | .), . = 1, ... , ., be nonnegative numbers such that .is a probability .-vector. The function . (· | ·) will now play the role of a “channel probability function” (c.p.f.).
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