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1. 1. 1. The bitwise AND operator is a single ampersand: &. It is just a representation of AND which does its work on the bits of the operands rather than the truth value of the operands. Bitwise binary AND performs logical conjunction (shown in the table above) of the bits in each position of a number in its binary form.
The Karatsuba algorithm is a fast multiplication algorithm. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. [ 1][ 2][ 3] It is a divide-and-conquer algorithm that reduces the multiplication of two n -digit numbers to three multiplications of n /2-digit numbers and, by repeating this reduction, to at most single-digit ...
Spec#. Spec# is a dialect of C# that is developed in parallel with the standard implementation from Microsoft. It extends C# with specification language features and is a possible future feature to the C# language. It also adds syntax for the code contracts API that was introduced in .NET Framework 4.0.
The Nocturne No. 20 in C♯ minor, Op. posth., Lento con gran espressione, P 1, No. 16, KKIVa/16, WN 37, is a solo piano piece composed by Frédéric Chopin in 1830 and published in 1875. Chopin dedicated this work to his older sister Ludwika Chopin, with the statement: "To my sister Ludwika as an exercise before beginning the study of my ...
The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset of integers and a target-sum , and the question is to decide whether any subset of the integers sum to precisely .[ 1] The problem is known to be NP-complete. Moreover, some restricted variants of it are NP-complete too ...
The top two staves are both played by the right hand, the bottom two by the left. Sergei Rachmaninoff 's Prelude in C-sharp minor (Russian: Прелюдия, romanized:Prelyudiya ), Op. 3, No. 2, is one of the composer's most famous compositions. Part of a set of five piano pieces titled Morceaux de fantaisie, it is a 62- bar prelude in ternary ...
Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...
C-sharp musical note. The name "C sharp" was inspired by the musical notation whereby a sharp symbol indicates that the written note should be made a semitone higher in pitch. [ 38] This is similar to the language name of C++, where "++" indicates that a variable should be incremented by 1 after being evaluated.