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Mixed-radix numbers of the same base can be manipulated using a generalization of manual arithmetic algorithms. Conversion of values from one mixed base to another is easily accomplished by first converting the place values of the one system into the other, and then applying the digits from the one system against these.
The Stirling numbers of the second kind can represent the total number of rhyme schemes for a poem of n lines. (,) gives the number of possible rhyming schemes for n lines using k unique rhyming syllables. As an example, for a poem of 3 lines, there is 1 rhyme scheme using just one rhyme (aaa), 3 rhyme schemes using two rhymes (aab, aba, abb ...
Mrs. Miniver's problem-- MSU Faculty of Mechanics and Mathematics-- MTD-f-- Mu Alpha Theta-- MU puzzle-- Muckenhoupt weights-- Mueller calculus-- Muhammad ibn Musa al-Khwarizmi-- Muirhead's inequality-- Muisca numerals-- Mukhopadhyaya theorem-- Muller–Schupp theorem-- Muller's method-- Multi-adjoint logic programming-- Multi-armed bandit ...
In place of strings, one can use (for example) natural numbers with n→2n+1 and n→2n+2 but no other operations. The set of all binary strings is denoted by {0,1} * , using Kleene star . Arbitrary subsets of {0,1} * are sometimes identified with trees, specifically as a {0,1}-labeled tree {0,1} * ; {0,1} * forms a complete infinite binary tree.
The length of any digital delay line is a whole-number multiple of the sampling period. In order to obtain a fractional delay often needed for fine tuning the string below JND ( Just Noticeable Difference ), interpolating filters are used with parameters selected to obtain an appropriate phase delay at the fundamental frequency.
The Burrows–Wheeler transform (BWT, also called block-sorting compression) rearranges a character string into runs of similar characters. This is useful for compression, since it tends to be easy to compress a string that has runs of repeated characters by techniques such as move-to-front transform and run-length encoding.
[1] [a] Most common variable-width encodings are multibyte encodings (aka MBCS – multi-byte character set), which use varying numbers of bytes to encode different characters. (Some authors, notably in Microsoft documentation, use the term multibyte character set, which is a misnomer , because representation size is an attribute of the ...
The closeness of a match is measured in terms of the number of primitive operations necessary to convert the string into an exact match. This number is called the edit distance between the string and the pattern. The usual primitive operations are: [1] insertion: cot → coat; deletion: coat → cot