| 書目名稱 | The Mathematical Theory of Information | | 編輯 | Jan K?hre | | 視頻video | http://file.papertrans.cn/914/913734/913734.mp4 | | 叢書名稱 | The Springer International Series in Engineering and Computer Science | | 圖書封面 |  | | 描述 | 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 | | 出版日期 | Textbook 2002 | | 關(guān)鍵詞 | Information; Shannon; Symbol; Text; algorithms; communication; control engineering; game theory; information | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4615-0975-2 | | isbn_softcover | 978-1-4613-5332-4 | | isbn_ebook | 978-1-4615-0975-2Series ISSN 0893-3405 | | issn_series | 0893-3405 | | copyright | Springer Science+Business Media New York 2002 |
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