Download BookThe Mathematical Theory of Information (The Springer International Series in Engineering and Computer Science)

[Download Ebook.tg7Y] The Mathematical Theory of Information (The Springer International Series in Engineering and Computer Science)

[Download Ebook.tg7Y] The Mathematical Theory of Information (The Springer International Series in Engineering and Computer Science)

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The general concept of information is here, for the first time, defined mathematically by adding one single axiom to the probability theory. This Mathematical Theory of Information is explored in fourteen chapters: 1. Information can be measured in different units, in anything from bits to dollars. We will here argue that any measure is acceptable if it does not violate the Law of Diminishing Information. This law is supported by two independent arguments: one derived from the Bar-Hillel ideal receiver, the other is based on Shannon's noisy channel. The entropy in the 'classical information theory' is one of the measures conforming to the Law of Diminishing Information, but it has, however, properties such as being symmetric, which makes it unsuitable for some applications. The measure reliability is found to be a universal information measure. 2. For discrete and finite signals, the Law of Diminishing Information is defined mathematically, using probability theory and matrix algebra. 3. The Law of Diminishing Information is used as an axiom to derive essential properties of information. Byron's law: there is more information in a lie than in gibberish. Preservation: no information is lost in a reversible channel. Etc. The Mathematical Theory of Information supports colligation, i. e. the property to bind facts together making 'two plus two greater than four'. Colligation is a must when the information carries knowledge, or is a base for decisions. In such cases, reliability is always a useful information measure. Entropy does not allow colligation. The Springer International Series in Engineering and ... ... The Kluwer International Series in Engineering and Computer Science. ... International Series in Engineering ... Springer International Series in Engineering ... The Mathematical Theory of Information (The Springer ... The Mathematical Theory of Information (The Springer International Series in Engineering and Computer Science): ... Springer International Series in Engineering ... The Mathematical Theory of Information (The Springer ... ... The Mathematical Theory of Information (The Springer International Series in Engineering and Computer Science): ... Information (The Springer International ... BEST PDF The Mathematical Theory of Information (The ... BEST PDF The Mathematical Theory of Information (The Springer International Series in Engineering and Computer Science) ... Turbo Coding The Springer International Series In ... Turbo Coding The Springer International Series In Engineering And Computer Science ... Mathematics And Computer Science eBooks / Portable Document Format ... Computer Science Springer Software Engineering; Theoretical Computer Science; LNCS; ... Year of the Rooster With Springer! ... and CCIS proceedings series International Journal of Computer ... The Mathematical Theory of Information - Springer The Springer International Series in Engineering ... The Mathematical Theory of Information. ... The Springer International Series in Engineering and Computer Science The Mathematical Theory Of Information The Springer ... The Mathematical Theory Of Information The Springer International Series In Engineering And ... International Series In Engineering And Computer Science ebooks ... The Annealing Algorithm The Springer International Series ... The Annealing Algorithm The Springer International Series In Engineering ... Mathematics And Computer Science ... theory and applications oxford engineering ... Uniform Random Numbers Theory And Practice The Springer ... Uniform Random Numbers Theory And Practice The Springer International Series In Engineering ... Mathematics And Computer Science ... Computer Science Obj Theory ...
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