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Kolmogorov Complexity
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== <span style="color: #FFFFFF;">Remembering</span> == * '''Kolmogorov Complexity (K)''' β The length of the shortest possible description of a string in a fixed universal language. * '''Andrey Kolmogorov''' β The Soviet mathematician who founded the field in the 1960s. * '''Algorithmic Information Theory''' β The branch of computer science that merges information theory with Turing's theory of computation. * '''Incompressibility''' β A string is "Incompressible" (Random) if its Kolmogorov complexity is equal to its own length. * '''Universal Turing Machine (UTM)''' β A theoretical computer that can run any program; used as the "Language" for measuring complexity. * '''Occam's Razor''' β The philosophical rule that the "Simplest" explanation (the one with the lowest K) is usually the best one. * '''Chaitin's Constant (Ξ©)''' β A famous "Uncomputable" number that represents the probability that a random program will stop. * '''Berry Paradox''' β A logical paradox that shows why we can't always "Calculate" the Kolmogorov complexity of a string. </div> <div style="background-color: #006400; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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