Inversive congruential generators are a type of nonlinear congruential pseudorandom number generator, which use the modular multiplicative inverse (if...
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used for variants of LCG and LFSR generators Permuted congruential generator Full cycle Inversive congruential generator Multiply-with-carry Lehmer RNG (sometimes...
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multiplicative inverse figures prominently in the definition of the Kloosterman sum. Inversive congruential generator – a pseudo-random number generator that uses...
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to nonlinear congruential methods of generating uniform pseudorandom numbers in the interval [0,1) is the Inversive congruential generator with prime modulus...
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Eichenauer, Jürgen; Lehn, Jürgen (1986). "A nonlinear congruential pseudorandom number generator". Statistische Hefte. 27: 315–326. doi:10.1007/BF02932576...
23 KB (1,461 words) - 19:45, 12 June 2025
number generators. In the second half of the 20th century, the standard class of algorithms used for PRNGs comprised linear congruential generators. The...
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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...
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developed for Lehmer generators (such as the spectral test) can be applied to multiply-with-carry generators. A linear congruential generator with base b = 232...
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Crisis Group, a non-profit organisation Internet Capital Group Inversive congruential generator Intra-character gap (or inter-character gap) in American Morse...
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Chester County Eye Care where he performs angiography with the inversive congruential generator, ultrasound and tomography to treat conditions such as macular...
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Group (mathematics) (section Uniqueness of inverses)
a\cdot a)^{-1}} , etc. Such an element a {\displaystyle a} is called a generator or a primitive element of the group. In additive notation, the requirement...
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Naor–Reingold pseudorandom function (category Pseudorandom number generators)
Decisional Diffie–Hellman assumption Finite field Inversive congruential generator Generalized inversive congruential pseudorandom numbers Naor, M., Reingold,...
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of the generator with inputs b and k is then bounded by O(k b4) (or Õ(k b3) using FFT-based multiplication). The error measure of this generator is the...
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linear congruential generators, a type of pseudorandom number generator. This generator is not a cryptographically secure pseudorandom number generator for...
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test program the team released. A cryptographically strong random number generator, which has been properly seeded with adequate entropy, must be used to...
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In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed...
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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...
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In this case, one says that the ideal is generated by g or that g is a generator of the ideal. Every ideal I in the ring of the Gaussian integers is principal...
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Affine symmetric group (section Inverse realizations)
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...
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traversal Levenshtein distance lexicographical order linear linear congruential generator linear hash linear insertion sort linear order linear probing linear...
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Prime number (section Generators and calculators)
Prime numbers are also used in pseudorandom number generators including linear congruential generators and the Mersenne Twister. Prime numbers are of central...
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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...
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Lemniscate elliptic functions (redirect from Inverse lemniscatic elliptic functions)
{\displaystyle \delta _{\beta }} is any β {\displaystyle \beta } -torsion generator (i.e. δ β ∈ ( 1 / β ) L {\displaystyle \delta _{\beta }\in (1/\beta )L}...
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ISBN 0-86720-298-X. Jane Gilman (1995). "Hyperbolic triangles". Two-generator discrete subgroups of PSL(2,R). American Mathematical Society Bookstore...
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multiplicative inverse of 40,014 modulo 2,147,483,563 2,147,483,563 = prime number, used as the modulus for the combined linear congruential generator 2,147,483...
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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)...
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modulus n {\displaystyle n} is typically a prime number. See linear congruential generator for more discussion. Removing and adding characters simply involves...
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Feedback with Carry Shift Registers (category Pseudorandom number generators)
1994). "On the lattice structure of certain linear congruential sequences related to AWC/SWB generators" (PDF). Mathematics of Computation. 62 (206): 799–808...
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{\displaystyle a\neq 0} . (This is a single iteration of a linear congruential generator.) To see that H = { h a , b } {\displaystyle H=\{h_{a,b}\}} is a...
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with a bitangent plane must produce two conics of the same type as the generator when the intersection curve is real. The torus plays a central role in...
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