parityˈpær ɪ ti
parity (n)
English Definitions:
parity, para (noun)
(obstetrics) the number of liveborn children a woman has delivered
"the parity of the mother must be considered"; "a bipara is a woman who has given birth to two children"
parity (noun)
(mathematics) a relation between a pair of integers: if both integers are odd or both are even they have the same parity; if one is odd and the other is even they have different parity
"parity is often used to check the integrity of transmitted data"
parity bit, parity, check bit (noun)
(computer science) a bit that is used in an error detection procedure in which a 0 or 1 is added to each group of bits so that it will have either an odd number of 1's or an even number of 1's; e.g., if the parity is odd then any group of bits that arrives with an even number of 1's must contain an error
parity, conservation of parity, space-reflection symmetry, mirror symmetry (noun)
(physics) parity is conserved in a universe in which the laws of physics are the same in a right-handed system of coordinates as in a left-handed system
parity (noun)
functional equality
Parity
In physics, a parity transformation is the flip in the sign of one spatial coordinate. In three dimensions, it is also commonly described by the simultaneous flip in the sign of all three spatial coordinates: It can also be thought of as a test for chirality of a phenomenon, in that performing a parity inversion transforms a chiral phenomenon into its mirror image. A parity transformation on something achiral, on the other hand, can be viewed as an identity transformation. A 3×3 matrix representation of P would have determinant equal to −1, and hence cannot reduce to a rotation which has a determinant equal to 1. The corresponding mathematical notion is that of a point reflection. In a two-dimensional plane, parity is not a simultaneous flip of all coordinates, which would be the same as a rotation by 180 degrees. It is important that the determinant of the P matrix be −1, which does not happen for 180 degree rotation in 2-D where a parity transformation flips the sign of either x or y, not both.
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