algebra, a parity function is a Boolean function whose value is one if and only if the input vector has an odd number of ones. The parity function of two...

A parity bit, or check bit, is a bit added to a string of binary code. Parity bits are a simple form of error detecting code. Parity bits are generally...

In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not. For...

In physics, a parity transformation (also called parity inversion) is the flip in the sign of one spatial coordinate. In three dimensions, it can also...

Purchasing power parity (PPP) is a measure of the price of specific goods in different countries and is used to compare the absolute purchasing power of...

disks") configurations that employ the techniques of striping, mirroring, or parity to create large reliable data stores from multiple general-purpose computer...

makes a difference in the truth value or never makes a difference (a parity function). Symmetric: the value does not depend on the order of its arguments...

number of the variables are true), which is equal to the parity bit returned by a parity function. In logical circuits, a simple adder can be made with an...

Theorem 3.1.1—The parity function has order | R | {\textstyle |R|} . Proof Let ψ p a r i t y {\textstyle \psi _{parity}} be the parity function, and Φ {\textstyle...

domain. They are named for the parity of the powers of the power functions which satisfy each condition: the function f ( x ) = x n {\displaystyle f(x)=x^{n}}...

number of inversions Parity function, a Boolean function whose value is 1 if the input vector has an odd number of ones Parity learning, a problem in...

1 ) ) ) {\displaystyle \exp(\Omega (n^{1/(k-1)}))} to compute the parity function on n {\displaystyle n} bits. He was later awarded the Gödel Prize for...

In mathematics, the error function (also called the Gauss error function), often denoted by erf, is a function e r f : C → C {\displaystyle \mathrm {erf}...

mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of...

Implementation is based on parity-preserving bit operations (XOR and ADD), multiply, or divide. A necessary adjunct to the hash function is a collision-resolution...

In mathematics, physics and engineering, the sinc function (/ˈsɪŋk/ SINK), denoted by sinc(x), is defined as either sinc ⁡ ( x ) = sin ⁡ x x . {\displaystyle...

Parchive (a portmanteau of parity archive, and formally known as Parity Volume Set Specification) is an erasure code system that produces par files for...

ordering of X is fixed, the parity (oddness or evenness) of a permutation σ {\displaystyle \sigma } of X can be defined as the parity of the number of inversions...

Low-density parity-check (LDPC) codes are a class of error correction codes which (together with the closely related turbo codes) have gained prominence...

measure. Moreover, its dynamics is known to be ergodic. Define the parity vector function Q acting on Z 2 {\displaystyle \mathbb {Z} _{2}} as Q ( x ) = ∑...

assigned a meaningful "volume" Outer measure – Mathematical function Infinite parity function Vitali, Giuseppe (1905). "Sul problema della misura dei gruppi...

for the secant function, s e c θ = r {\displaystyle sec\;\theta =r\quad } if and only if θ = ( − 1 ) h arcsec ⁡ ( r ) + π h + π Parity ⁡ ( h ) {\displaystyle...

derivative Fast Fourier transform Harmonic analysis Orthogonal functions Walsh matrix Parity function Walsh 1923. Fine 1949. Schipp, Wade & Simon 1990. Pisier...

One way to implement a parity drive in a RAID array is to use the exclusive or, or XOR, function. XOR is a Boolean logic function which means 'one or the...

species) and use the fact that two parity transformations leave the particle in the same state, thus the new wave function can differ by only a phase factor...

generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions are often...

In physics, the C parity or charge parity is a multiplicative quantum number of some particles that describes their behavior under the symmetry operation...

Output of the tree parity machine is binary. Each party (A and B) uses its own tree parity machine. Synchronization of the tree parity machines is achieved...

(Theorem 3.1.1): The parity function is conjunctively local of order n {\displaystyle n} . Theorem. (Section 5.5): The connectedness function is conjunctively...

quantum field theory is said to have a parity anomaly if its classical action is invariant under a change of parity of the universe, but the quantum theory...