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- Incompressibility_method abstract "The incompressibility method is a proof method such as the probabilistic method, the counting method, or the pigeonhole principle. The method proceeds as follows: In order to prove that an object in a certain class on average satisfies a certain property, select an object of that class that is incompressible. Subsequently it is shown that if it does not satisfy the property then it can be compressed by clever computable coding. Since in general it can be proved that almost all objects of a given class are incompressible, the argument shows that almost all objects in the class have the property involved (and not just the average). To select an incompressible object is not effective: it cannot be done by a computer program. But a simple counting argument usually shows that almost all objects of a given class can be compressed by but a few bits (are incompressible).".
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- Incompressibility_method wikiPageLength "22308".
- Incompressibility_method wikiPageOutDegree "51".
- Incompressibility_method wikiPageRevisionID "703054634".
- Incompressibility_method wikiPageWikiLink Alan_Turing.
- Incompressibility_method wikiPageWikiLink Andrey_Kolmogorov.
- Incompressibility_method wikiPageWikiLink Bernhard_Riemann.
- Incompressibility_method wikiPageWikiLink Best,_worst_and_average_case.
- Incompressibility_method wikiPageWikiLink Category:Computability_theory.
- Incompressibility_method wikiPageWikiLink Category:Mathematical_principles.
- Incompressibility_method wikiPageWikiLink Charles_Jean_de_la_Vallée-Poussin.
- Incompressibility_method wikiPageWikiLink Comparison_sort.
- Incompressibility_method wikiPageWikiLink Complete_graph.
- Incompressibility_method wikiPageWikiLink Counting_method_(computer_science).
- Incompressibility_method wikiPageWikiLink Degree_(graph_theory).
- Incompressibility_method wikiPageWikiLink Donald_Shell.
- Incompressibility_method wikiPageWikiLink Euclid.
- Incompressibility_method wikiPageWikiLink Expander_graph.
- Incompressibility_method wikiPageWikiLink Graph_labeling.
- Incompressibility_method wikiPageWikiLink Gregory_Chaitin.
- Incompressibility_method wikiPageWikiLink Gxc3xb6dels_incompleteness_theorems.
- Incompressibility_method wikiPageWikiLink Heapsort.
- Incompressibility_method wikiPageWikiLink Heilbronn.
- Incompressibility_method wikiPageWikiLink Heilbronn_triangle_problem.
- Incompressibility_method wikiPageWikiLink Ian_Munro_(computer_scientist).
- Incompressibility_method wikiPageWikiLink Incompressible_string.
- Incompressibility_method wikiPageWikiLink Independence_(probability_theory).
- Incompressibility_method wikiPageWikiLink Jacques_Hadamard.
- Incompressibility_method wikiPageWikiLink Kolmogorov_complexity.
- Incompressibility_method wikiPageWikiLink Kolmogorovs_zeroxe2x80x93one_law.
- Incompressibility_method wikiPageWikiLink Law_of_large_numbers.
- Incompressibility_method wikiPageWikiLink Law_of_the_iterated_logarithm.
- Incompressibility_method wikiPageWikiLink Lovász_local_lemma.
- Incompressibility_method wikiPageWikiLink Normal_number.
- Incompressibility_method wikiPageWikiLink Paul_Erdős.
- Incompressibility_method wikiPageWikiLink Peano_axioms.
- Incompressibility_method wikiPageWikiLink Pigeonhole_principle.
- Incompressibility_method wikiPageWikiLink Probabilistic_method.
- Incompressibility_method wikiPageWikiLink Probability_theory.
- Incompressibility_method wikiPageWikiLink Rank_(linear_algebra).
- Incompressibility_method wikiPageWikiLink Real-time_computing.
- Incompressibility_method wikiPageWikiLink Riemann_zeta_function.
- Incompressibility_method wikiPageWikiLink Robert_W._Floyd.
- Incompressibility_method wikiPageWikiLink Shellsort.
- Incompressibility_method wikiPageWikiLink Tournament.
- Incompressibility_method wikiPageWikiLink Émile_Borel.
- Incompressibility_method wikiPageWikiLinkText "Incompressibility method".
- Incompressibility_method wikiPageUsesTemplate Template:Clarify.
- Incompressibility_method wikiPageUsesTemplate Template:Copy_edit.
- Incompressibility_method wikiPageUsesTemplate Template:Reflist.
- Incompressibility_method subject Category:Computability_theory.
- Incompressibility_method subject Category:Mathematical_principles.
- Incompressibility_method hypernym Method.
- Incompressibility_method type Software.
- Incompressibility_method comment "The incompressibility method is a proof method such as the probabilistic method, the counting method, or the pigeonhole principle. The method proceeds as follows: In order to prove that an object in a certain class on average satisfies a certain property, select an object of that class that is incompressible. Subsequently it is shown that if it does not satisfy the property then it can be compressed by clever computable coding.".
- Incompressibility_method label "Incompressibility method".
- Incompressibility_method wasDerivedFrom Incompressibility_method?oldid=703054634.
- Incompressibility_method isPrimaryTopicOf Incompressibility_method.