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  2. Pneumonoultramicroscopicsilicovolcanoconiosis - Wikipedia

    en.wikipedia.org/wiki/Pneumonoultramicroscopicsi...

    Subsequently, the word was used in Frank Scully's puzzle book Bedside Manna, after which time, members of the N.P.L. campaigned to include the word in major dictionaries. [9] [10] This 45-letter word, referred to as "p45", [11] first appeared in the 1939 supplement to the Merriam-Webster New International Dictionary, Second Edition. [12]

  3. LCP array - Wikipedia

    en.wikipedia.org/wiki/LCP_array

    Likewise, the LCP of A[2] = ab and A[3] = abaab is ab, so H[3] = 2. Augmenting the suffix array with the LCP array allows one to efficiently simulate top-down and bottom-up traversals of the suffix tree , [ 1 ] [ 2 ] speeds up pattern matching on the suffix array [ 3 ] and is a prerequisite for compressed suffix trees.

  4. Min-entropy - Wikipedia

    en.wikipedia.org/wiki/Min-entropy

    The conditional entropy measures the average uncertainty Bob has about Alice's state upon sampling from his own system. The min-entropy can be interpreted as the distance of a state from a maximally entangled state. This concept is useful in quantum cryptography, in the context of privacy amplification (See for example [1]).

  5. Lexicographically minimal string rotation - Wikipedia

    en.wikipedia.org/wiki/Lexicographically_minimal...

    Shiloach (1981) [3] proposed an algorithm improving on Booth's result in terms of performance. It was observed that if there are q equivalent lexicographically minimal rotations of a string of length n , then the string must consist of q equal substrings of length ⁠ d = n / q {\displaystyle d=n/q} ⁠ .

  6. Rényi entropy - Wikipedia

    en.wikipedia.org/wiki/Rényi_entropy

    In information theory, the Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision entropy, and min-entropy. The Rényi entropy is named after Alfréd Rényi , who looked for the most general way to quantify information while preserving additivity for independent events.

  7. Configuration entropy - Wikipedia

    en.wikipedia.org/wiki/Configuration_entropy

    In statistical mechanics, configuration entropy is the portion of a system's entropy that is related to discrete representative positions of its constituent particles. For example, it may refer to the number of ways that atoms or molecules pack together in a mixture, alloy or glass, the number of conformations of a molecule, or the number of spin configurations in a magnet.

  8. Gestalt pattern matching - Wikipedia

    en.wikipedia.org/wiki/Gestalt_Pattern_Matching

    The similarity of two strings and is determined by this formula: twice the number of matching characters divided by the total number of characters of both strings. The matching characters are defined as some longest common substring [3] plus recursively the number of matching characters in the non-matching regions on both sides of the longest common substring: [2] [4]

  9. Levenshtein distance - Wikipedia

    en.wikipedia.org/wiki/Levenshtein_distance

    Edit distance matrix for two words using cost of substitution as 1 and cost of deletion or insertion as 0.5. For example, the Levenshtein distance between "kitten" and "sitting" is 3, since the following 3 edits change one into the other, and there is no way to do it with fewer than 3 edits: kitten → sitten (substitution of "s" for "k"),