Titlebook: An Introduction to Kolmogorov Complexity and Its Applications; Ming Li,Paul Vitányi Textbook 20083rd edition The Author(s) 2008 Shannon.Sy

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https://doi.org/10.1007/978-3-658-21373-2articular type of dodo) rather than in relation to a set of objects from which the individual object may be selected. To do so, one could define the quantity of information in an object in terms of the number of bits required to losslesly describe it. A description of an object is evidently useful i

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Algorithmic Complexity,articular type of dodo) rather than in relation to a set of objects from which the individual object may be selected. To do so, one could define the quantity of information in an object in terms of the number of bits required to losslesly describe it. A description of an object is evidently useful i

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Algorithmic Prefix Complexity, fruitful, for certain goals the mathematical framework is not yet satisfactory. This has resulted in a plethora of proposals of modified measures to get rid of one or the other problem. Let us list a few conspicuous inconveniences.

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Inductive Reasoning,on should describe but one object. From among all descriptions of an object we can take the length of the shortest description as a measure of the object‘s complexity. It is natural to call an object ‘simple’ if it has at least one short description, and to call it ‘complex’ if all of its descriptio

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