• Thumbnail for Inversive congruential generator
    Inversive congruential generators are a type of nonlinear congruential pseudorandom number generator, which use the modular multiplicative inverse (if...
    12 KB (2,172 words) - 19:27, 28 December 2024
  • Thumbnail for Linear congruential generator
    used for variants of LCG and LFSR generators Permuted congruential generator Full cycle Inversive congruential generator Multiply-with-carry Lehmer RNG (sometimes...
    43 KB (4,864 words) - 20:43, 19 June 2025
  • multiplicative inverse figures prominently in the definition of the Kloosterman sum. Inversive congruential generator – a pseudo-random number generator that uses...
    24 KB (3,652 words) - 12:22, 12 May 2025
  • to nonlinear congruential methods of generating uniform pseudorandom numbers in the interval [0,1) is the Inversive congruential generator with prime modulus...
    7 KB (1,587 words) - 03:19, 30 January 2023
  • 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...
    28 KB (3,559 words) - 23:54, 22 February 2025
  • 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...
    30 KB (4,386 words) - 23:54, 25 May 2025
  • 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...
    36 KB (4,065 words) - 23:24, 5 May 2025
  • Crisis Group, a non-profit organisation Internet Capital Group Inversive congruential generator Intra-character gap (or inter-character gap) in American Morse...
    1 KB (195 words) - 09:17, 22 February 2021
  • Chester County Eye Care where he performs angiography with the inversive congruential generator, ultrasound and tomography to treat conditions such as macular...
    3 KB (251 words) - 23:41, 1 February 2024
  • Thumbnail for Group (mathematics)
    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...
    103 KB (13,241 words) - 14:14, 11 June 2025
  • 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,...
    11 KB (1,975 words) - 18:53, 25 January 2024
  • 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...
    38 KB (5,639 words) - 20:26, 3 May 2025
  • linear congruential generators, a type of pseudorandom number generator. This generator is not a cryptographically secure pseudorandom number generator for...
    10 KB (1,141 words) - 02:53, 12 February 2025
  • test program the team released. A cryptographically strong random number generator, which has been properly seeded with adequate entropy, must be used to...
    60 KB (7,783 words) - 17:58, 20 June 2025
  • Thumbnail for Isometry
    In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed...
    18 KB (2,425 words) - 22:57, 23 June 2025
  • Thumbnail for Multiplicative group of integers modulo n
    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...
    26 KB (3,156 words) - 13:35, 6 May 2025
  • Thumbnail for Gaussian integer
    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...
    35 KB (4,835 words) - 07:01, 5 May 2025
  • Thumbnail for Affine symmetric group
    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...
    71 KB (10,250 words) - 02:22, 13 June 2025
  • traversal Levenshtein distance lexicographical order linear linear congruential generator linear hash linear insertion sort linear order linear probing linear...
    35 KB (3,135 words) - 18:46, 6 May 2025
  • Thumbnail for Prime number
    Prime numbers are also used in pseudorandom number generators including linear congruential generators and the Mersenne Twister. Prime numbers are of central...
    117 KB (14,179 words) - 23:31, 23 June 2025
  • 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...
    8 KB (1,078 words) - 07:13, 6 May 2025
  • Thumbnail for Lemniscate 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}...
    126 KB (23,828 words) - 17:49, 23 June 2025
  • Thumbnail for Pythagorean theorem
    ISBN 0-86720-298-X. Jane Gilman (1995). "Hyperbolic triangles". Two-generator discrete subgroups of PSL(2,R). American Mathematical Society Bookstore...
    94 KB (12,692 words) - 05:47, 14 May 2025
  • 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...
    30 KB (3,750 words) - 18:32, 23 June 2025
  • 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)...
    10 KB (1,120 words) - 11:58, 2 April 2025
  • modulus n {\displaystyle n} is typically a prime number. See linear congruential generator for more discussion. Removing and adding characters simply involves...
    14 KB (2,014 words) - 21:47, 13 June 2025
  • 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...
    8 KB (1,077 words) - 02:18, 5 July 2023
  • {\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...
    29 KB (4,908 words) - 10:51, 16 June 2025
  • Thumbnail for Villarceau circles
    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...
    11 KB (1,496 words) - 14:39, 4 November 2024