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Change ringing is a British form of pealing whereby 5 to 12 bells are rung in mathematical permutations.
Sets of handbells tuned diatonically (i.e., to a seven-note scale) first appeared in England in the 17th century for practicing the mathematical permutations of change ringing.
Since a half-dozen people are running for mayor on the Democratic side and several more angling to be the Republican nominee, the mathematical permutations seem almost endless by one estimate.
Change ringing, traditional English art of ringing a set of tower bells in an intricate series of changes, or mathematical permutations (different orderings in the ringing sequence), by pulling ropes attached to bell wheels.
While Hunt is a handsome playboy with a champagne lifestyle and shagadelic reputation (his badge bears the legend "Sex: Breakfast of Champions"), Lauda is a "rat-faced" systems analyst who goes to bed early after sweating over the mathematical permutations of success.
By Peter Schjeldahl The New Yorker, March 13 , 2000P. 98 THE ART WORLD about minimalist Sol LeWitt and an exhibit of his work at the San Francisco Museum of Modern Art... LeWitt is an artist of militant impersonality — a designer of sculptures that materialize out of rote mathematical permutations and of "wall drawings" that are realized by hands other than his own.
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Rejewski used a mathematical theorem that two permutations are conjugate if and only if they have the same cycle structure that mathematics professor Cipher A. Deavours, an editor of the quarterly Cryptologia in a commentary to Rejewski's 1981 paper, "How the Polish Mathematicians Deciphered the Enigma", in the Annals of the history of Computing describes as "the theorem that won World War II".
Following ideas of Schönfinkel and aiming at a mathematical analysis of the substitution process, Curry's 1930 thesis introduced a formal language based on basic general operators, the so-called combinators B (composition), C (permutation), W (duplication), K (cancellation), Q (equality), and logical constants like the universal quantifier and implication.
Its Prevent product, in use at Oracle, Synopsys and Sun, works as a kind of "grammar checker," looking for nonsensical mathematical functions, racing through thousands of possible permutations in seconds.
Mathematical description—We first partition the space of permutations into blocks using some blocking function γA that maps each permutation to a real number; permutations with the same number are in the same block.
In combination with the differential evolution (DE) algorithm [ 23], an iterative approach of experimental testing in an endothelial cell viability assay and mathematical analysis (a process of selection, where only the permutations which improve the system's response are maintained) drove the system to converge toward an optimal solution, i.e., maximal inhibition of endothelial cell growth.
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