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- Circular_shift abstract "In combinatorial mathematics, a circular shift is the operation of rearranging the entries in a tuple, either by moving the final entry to the first position, while shifting all other entries to the next position, or by performing the inverse operation. A circular shift is a special kind of cycle, which in turn is a special kind of permutation. Formally, a circular shift is a permutation σ of the n entries in the tuple such that either modulo n, for all entries i = 1, ..., n,ormodulo n, for all entries i = 1, ..., n. The result of repeatedly applying circular shifts to a given tuple are also called the circular shifts of the tuple.For example, repeatedly applying circular shifts to the four-tuple (a, b, c, d) successively gives (d, a, b, c), (c, d, a, b), (b, c, d, a), (a, b, c, d) (the original four-tuple),and then the sequence repeats; this four-tuple therefore has four distinct circular shifts. However, not all n-tuples have n distinct circular shifts. For instance, the 4-tuple (a, b, a, b) only has 2 distinct circular shifts. In general the number of circular shifts of an n-tuple could be any divisor of n, depending on the entries of the tuple.In computer programming, a circular shift (or bitwise rotation) is a shift operator that shifts all bits of its operand. Unlike an arithmetic shift, a circular shift does not preserve a number's sign bit or distinguish a number's exponent from its mantissa. Unlike a logical shift, the vacant bit positions are not filled in with zeros but are filled in with the bits that are shifted out of the sequence.".
- Circular_shift thumbnail Array_of_permutations;_circular_shift,_left.svg?width=300.
- Circular_shift wikiPageExternalLink 20120704190155!Array_of_permutations%3B_circular_shift%2C_left.svg.
- Circular_shift wikiPageID "1917276".
- Circular_shift wikiPageRevisionID "606192451".
- Circular_shift hasPhotoCollection Circular_shift.
- Circular_shift subject Category:Computer_arithmetic.
- Circular_shift subject Category:Elementary_mathematics.
- Circular_shift comment "In combinatorial mathematics, a circular shift is the operation of rearranging the entries in a tuple, either by moving the final entry to the first position, while shifting all other entries to the next position, or by performing the inverse operation. A circular shift is a special kind of cycle, which in turn is a special kind of permutation.".
- Circular_shift label "Circular shift".
- Circular_shift label "Décalage circulaire".
- Circular_shift label "Obrót bitowy".
- Circular_shift label "Битовый сдвиг".
- Circular_shift label "انتقال دوراني".
- Circular_shift sameAs Décalage_circulaire.
- Circular_shift sameAs Obrót_bitowy.
- Circular_shift sameAs m.065z89.
- Circular_shift sameAs Q3042450.
- Circular_shift sameAs Q3042450.
- Circular_shift wasDerivedFrom Circular_shift?oldid=606192451.
- Circular_shift depiction Array_of_permutations;_circular_shift,_left.svg.
- Circular_shift isPrimaryTopicOf Circular_shift.
