Inversive congruential generators are a type of nonlinear congruential pseudorandom number generator, which use the modular multiplicative inverse (if it exists) to generate the next number in a sequence. The standard formula for an inversive congruential generator, modulo some prime q is:
Such a generator is denoted symbolically as ICG(q, a, c, seed) and is said to be an ICG with parameters q, a, c and seed seed.
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Inversivecongruentialgenerators are a type of nonlinear congruential pseudorandom number generator, which use the modular multiplicative inverse (if...
used for variants of LCG and LFSR generators Permuted congruentialgenerator Full cycle Inversivecongruentialgenerator Multiply-with-carry Lehmer RNG (sometimes...
multiplicative inverse figures prominently in the definition of the Kloosterman sum. Inversivecongruentialgenerator – a pseudo-random number generator that uses...
to nonlinear congruential methods of generating uniform pseudorandom numbers in the interval [0,1) is the Inversivecongruentialgenerator with prime modulus...
number generators. In the second half of the 20th century, the standard class of algorithms used for PRNGs comprised linear congruentialgenerators. The...
Crisis Group, a non-profit organisation Internet Capital Group Inversivecongruentialgenerator Intra-character gap (or inter-character gap) in American Morse...
In geometry, inversive geometry is the study of inversion, a transformation of the Euclidean plane that maps circles or lines to other circles or lines...
Chester County Eye Care where he performs angiography with the inversivecongruentialgenerator, ultrasound and tomography to treat conditions such as macular...
linear congruentialgenerators, a type of pseudorandom number generator. This generator is not a cryptographically secure pseudorandom number generator for...
In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed...
A generator of ( Z / n Z ) × {\displaystyle (\mathbb {Z} /n\mathbb {Z} )^{\times }} is called a primitive root modulo n. If there is any generator, then...
Prime numbers are also used in pseudorandom number generators including linear congruentialgenerators and the Mersenne Twister. Prime numbers are of central...
the same ideal. As all the generators of an ideal have the same norm, the norm of an ideal is the norm of any of its generators. In some circumstances, it...
row space Reduced word, in a free group, a word with no adjacent generator-inverse pairs Variance reduction, a procedure used to increase the precision...
matrices; these matrices are one notable representation of the infinitesimal generators of the special unitary group SU(3). Hamiltonian matrix — a matrix used...
Galois group of F∞ isomorphic to the p-adic integers. γ is a topological generator of Γ Ln is the p-Hilbert class field of Fn. Hn is the Galois group Gal(Ln/Fn)...
commutative monoid with identity element 0. It is a free monoid on one generator. This commutative monoid satisfies the cancellation property, so it can...
at positions not congruent to i or j modulo n. In the geometric action of S ~ n {\displaystyle {\widetilde {S}}_{n}} , the generator s i {\displaystyle...
modulus n {\displaystyle n} is typically a prime number. See linear congruentialgenerator for more discussion. Removing and adding characters simply involves...
{\displaystyle a\neq 0} . (This is a single iteration of a linear congruentialgenerator.) To see that H = { h a , b } {\displaystyle H=\{h_{a,b}\}} is a...
algebra over the Z-module Z n {\displaystyle \mathbb {Z} ^{n}} whose generators are the duals of the n nontrivial cycles. As the n-torus is the n-fold...