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An incompressible string is a string with Kolmogorov complexity equal to its length, so that it has no shorter encodings.[1] The pigeonhole principle can be used to be prove that for any lossless compression algorithm, there must exist many incompressible strings.
^V. Chandru and M.R.Rao, Algorithms and Theory of Computation Handbook, CRC Press 1999, p29-30.
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An incompressiblestring is a string with Kolmogorov complexity equal to its length, so that it has no shorter encodings. The pigeonhole principle can...
computer science, see Incompressible string This disambiguation page lists articles associated with the title Incompressibility. If an internal link led you here...
In mathematics, the incompressibility method is a proof method like the probabilistic method, the counting method or the pigeonhole principle. To prove...
K(s) ≤ |s| − c. Otherwise, s is incompressible by c. A stringincompressible by 1 is said to be simply incompressible – by the pigeonhole principle, which...
change directly into solids through deposition. A liquid is a nearly incompressible fluid that conforms to the shape of its container but retains a (nearly)...
usually taken to mean "incompressible" or, in the case the sequence is infinite and prefix algorithmically random (i.e., K-incompressible), "Martin-Löf–Chaitin...
stored block option adds minimal overhead and is used for data that is incompressible. Most compressible data will end up being encoded using method 10, the...
said to be small if it is closed, irreducible and does not contain any incompressible surfaces. Orbifold Theorem. Let M be a small 3-manifold. Let φ be a...
cannot be determined whether a particular file is incompressible, a simple theorem about incompressible strings shows that over 99% of files of any given...
LZMA providing better multithreading support and less expansion of incompressible data. Bzip2 – The standard Burrows–Wheeler transform algorithm. Bzip2...
relationship described by Bernoulli was found to be valid only for incompressible, inviscid flow. In 1757, Leonhard Euler published the Euler equations...
Translation: Antoci, S. (1999). "On the gravitational field of a sphere of incompressible fluid according to Einstein's theory". arXiv:physics/9912033. Droste...
exterior blanket of crushable balsa wood and an interior filled with incompressible liquid freon. A 42-kilogram (93 lb) 30-centimetre-diameter (0.98 ft)...
non-determinism or likelihood. Roughly, a string is algorithmic "Martin-Löf" random (AR) if it is incompressible in the sense that its algorithmic complexity...
it. Ziv and Lempel showed: A sequence is normal if and only if it is incompressible by any information lossless finite-state compressor (they actually showed...
equations that describe the flow of a viscous fluid? This problem, for an incompressible fluid in three dimensions, is also one of the Millennium Prize Problems...
the wave equation in a string gets published. 1752 – D'Alembert show an inconsistency of treating fluids as inviscid incompressible fluids, known as d'Alembert's...
can't be compressed further p {\displaystyle p} is an incompressible and hence uncomputable string. This corresponds to a scientists' notion of randomness...
48.1559. Laughlin, R. B. (1983). "Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations". Phys. Rev. Lett...
energy in the brine stream, as the energy to pressurize a virtually incompressible fluid (water) is negligible. Such systems have the potential to reach...
Examples include a solid body with a cavity filled with an inviscid, incompressible, homogeneous liquid, the static equilibrium configuration of a stressed...
lowers its potential energy by complying with a force. Because water is incompressible and must remain within the confines of the bucket, this outward movement...
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