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 entropy (information theory) - Definition 

Information entropy (12802 bytes)
1: [[de:Entropie (Informationstheorie)]] [[nl:entropie (informatietheorie)]][[p...
4: ...age:Binary entropy plot.png|thumbnail|right|200px|Entropy of a [[Bernoulli trial]] as a function of success...
6: ...ropy''', the information-theoretic formulation of entropy.
10: ...ive way to look at this is to talk about how much information is carried by the signal.
12: ...m/cm/ms/what/shannonday/paper.html A Mathematical Theory of Communication].

Information theory (8794 bytes)
1: ...sed with [[library and information science]] or [[information technology]].
3: ...yed, though the complementary wing of information theory concerns itself with content through [[lossy comp...
5: ...ify the use of bits as the universal currency for information in many contexts.
7: ...hannon defined a measure of [[information entropy|entropy]]:
11: ...of entropy came to be taken as a measure of the ''information'' contained in a message, as opposed to the porti...

Sampling (information theory) (1641 bytes)
1: In [[information theory]], '''sampling''' is the process of converting a ...
23: Sampling theory:
29: *[[Information theory]]

Algorithmic information theory (7689 bytes)
1: '''Algorithmic information theory''' is a field of study which attempts to capture ...
3: ... variants of Kolmogorov complexity or algorithmic information. The most widely used one is based on self-delimi...
32: information-theoretic. It has the desirable properties of st...
35: ...onnection between MML and algorithmic information theory (or Kolmogorov complexity) in 1999.
38: ...Important publications in algorithmic information theory]]

Structural information theory (1576 bytes)
1: ... information theory''' ('''SIT''') is a general [[theory]] of [[pattern perception]], set about by [[Emanu...
9: ...ion load, where information load is the amount of information present in a pattern.

Signal (information theory) (8985 bytes)
1: ...heory|information]], or (more commonly) a flow of information (in one or more dimensions).
78: ...als) is its [[information entropy|entropy]] or ''information contents'', measured in [[bit]]s (or bits per [[s...

List of information theory topics (900 bytes)
1: This is a '''list of information theory topics''', by Wikipedia page.
3: *[[A Mathematical Theory of Communication]]
4: *[[Algorithmic information theory]]
7: *[[Communication Theory of Secrecy Systems]]
8: *[[Conditional quantum entropy]]

Entropy (18376 bytes)
1: ...''For other uses of the term '''entropy''', see [[Entropy (disambiguation)]]''
3: ... disorder present in a system. The [[SI]] unit of entropy is JK<sup>-1</sup> ([[Joule]] per [[Kelvin]]), wh...
5: == Thermodynamic definitions of entropy ==
7: ...y [[Rudolf Clausius]]. He defined the ''change in entropy'' of a thermodynamic system, during a [[reversibl...
11: ...inition involves only differences in entropy, the entropy itself is only defined up to an arbitrary additiv...

Entropy five (3598 bytes)
5: Entropy Five is the brainchild of singer, songwriter, and...
7: Entropy Five's first release, '''Bare Bones''' ([[2001]] ...
9: ...iotech," "Full Borg," and "Deus Ex Machina," take Entropy Five's sound in a more futuristic direction, trad...
19: ...icial website], [http://www.livejournal.com/users/entropy5 E5's official Livejournal], [http://www.artistla...

Entropy ry. (453 bytes)
1: ...a and one of the oldest in [[Finland]]. Presently Entropy has over 1000 supporting and 100 active members.
8: [http://www.entropy.fi entropy homesite]

Entropy (ecology) (1766 bytes)
3: '''Ecological entropy''' is a measure of [[biodiversity]] in the study ...
20: ...nit being [[decibel|bel]]. The [[thermodynamic]] entropy uses [[natural logarithm]] (base <math>e</math>),...
23: *[[Entropy]] (thermodynamics)
24: *[[Entropy (information theory)]]

Entropy (computing) (1062 bytes)
1: ...[identity]] of [[person]]s sending or receiving [[information]].
3: ENTROPY is licensed with a [[GNU General Public License]]...
7: ....com/en/home.html English version of the official ENTROPY web site, The]
8: * [http://entropy.stop1984.com/en/intro.html Entropy "Introduction" on the official web site]

Joint entropy (3134 bytes)
1: ...h>H(X,Y)</math>. Like other entropies, the joint entropy is measured in [[bit]]s.
4: ...occur with probability <math>p_x</math>, then the entropy of <math>X</math> is
8: ...obabilities <math>p_y</math>. <math>Y</math> has entropy <math>H(Y)</math>.
10: ...han 2 bits. We need a way of measuring the total entropy of both systems.
13: ... with probability <math>p_{x,y}</math>, the joint entropy is defined as

Conditional entropy (1423 bytes)
1: ...X)</math>. Like other entropies, the conditional entropy is measured in [[bit]]s.
3: ...</math>, we have gained <math>H(X)</math> bits of information, and the system has <math>H(Y|X)</math> bits rema...
7: ...tropy is generalized to the [[conditional quantum entropy]].
9: [[Category:Information theory]]

Min-entropy (256 bytes)
1: A [[probability distribution]] has '''min-entropy''' ''k'' if no value in the distribution has prob...
5: ...opy is always less than or equal to the [[Shannon entropy]].
7: [[Category: Information theory]]

Entropy (disambiguation) (1461 bytes)
1: '''Entropy''' ([[Greek language|Greek]]: ''en'' = in and ''t...
3: * [[Entropy|Thermodynamic entropy]] in the context of [[chemistry]], [[physics]], a...
4: ...nd [[information theory]], measures the amount of information that is contained in a random variable or other u...
5: ...theory of [[metric space]]s in [[mathematics]], [[entropy number]]s are used to measure the [[dimension]] o...
6: ...]] refers to two board games known under the name Entropy, invented by [[Eric Solomon]] (1977) or [[Augusti...

Entropy of fusion (671 bytes)
1: The '''Entropy of fusion''' of a substance represents the increa...
3: ...bs free energy]] is negative. It follows that the entropy of fusion is related to the [[melting point]] and...

Entropy encoding (1501 bytes)
1: An '''entropy encoding''' is a [[coding]] scheme that assigns c...
2: Typically, entropy encoders are used to compress data by replacing s...
7: Three of the most common entropy encoding techniques are [[Huffman coding]], [[ran...
8: If the approximate entropy characteristics of a data stream are known in adv...
10: ...was posted on [http://planetmath.org/encyclopedia/EntropyEncoding.html PlanetMath].

Principle of maximum entropy (13252 bytes)
1: ...'<i>p</i>''') while remaining consistent with our information.
3: ...certain propositions, conditional upon a state of information. The principle is controversial even among those ...
5: == Testable information ==
7: ...ass called '''testable information'''. A piece of information is testable if we can determine whether or not a ...
13: are statements of testable information.

Black hole entropy (2429 bytes)
1: '''Black hole entropy''' is [[entropy]] carried by a [[black hole]].
3: ...ncrease more-than-compensates the decrease of the entropy carried by the object that was swallowed.
5: ...ynamics]], Hawking was also able to calculate the entropy that the black hole must carry. The result confir...
9: ...t that the black hole entropy is also the maximal entropy that can be squeezed within a fixed volume was th...
11: ...tion was followed by many similar computations of entropy of large classes of other [[extremal black hole|e...

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "entropy (information theory)".