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Kolmogorov Complexity

By theoryapp Posted on August 26, 2021 Posted in Probability, Theory Tagged with entropy, kolmogorov complexity

Kolmogorov complexity measures the complexity of describing an object, such as a binary string. The description is considered as a program which can be run on a computer. By Church’s thesis, all non-trivial computational models are equivalent; thus, one can …

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Unix Commands for Large Files

By theoryapp Posted on May 18, 2021 Posted in BigData Tagged with count file, split file

This tutorial is about how to handle large files using Linux/Unix commands, such as viewing the first few lines, counting the number of lines or bytes, splitting the file, etc. wc — word, line, character, and byte count The wc …

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Get or Remove the Last Char in Strings in PHP

By theoryapp Posted on May 11, 2021 Posted in PHP Tagged with substr

PHP function substr() allows manipulating a string for the rear. The function is defined as below. It returns the portion of string specified by the start and length parameters. If start is negative, the starting position is counted from the …

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Decision Tree Complexity

By theoryapp Posted on April 12, 2021 Posted in Theory Tagged with decision tree, min-max lemma

Decision trees are a simple computation model. One can compute a boolean function using a decision tree by examining the input bits in specific orders. The complexity is characterized by the number of input bits examined, or simply, the depth …

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