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2. Lehmer random number generator - Wikipedia

   en.wikipedia.org/wiki/Lehmer_random_number_generator

   The Lehmer random number generator [1] (named after D. H. Lehmer), sometimes also referred to as the Park–Miller random number generator (after Stephen K. Park and Keith W. Miller), is a type of linear congruential generator (LCG) that operates in multiplicative group of integers modulo n. The general formula is

3. Multiply-with-carry pseudorandom number generator - Wikipedia

   en.wikipedia.org/wiki/Multiply-with-carry...

   Thus, a multiply-with-carry generator is a Lehmer generator with modulus p and multiplier b −1 (mod p). This is the same as a generator with multiplier b, but producing output in reverse order, which does not affect the quality of the resultant pseudorandom numbers.

4. Linear congruential generator - Wikipedia

   en.wikipedia.org/wiki/Linear_congruential_generator

   The second row is the same generator with a seed of 3, which produces a cycle of length 2. Using a = 4 and c = 1 (bottom row) gives a cycle length of 9 with any seed in [0, 8]. A linear congruential generator (LCG) is an algorithm that yields a sequence of pseudo-randomized numbers calculated with a discontinuous piecewise linear equation.

5. Multiplication algorithm - Wikipedia

   en.wikipedia.org/wiki/Multiplication_algorithm

   A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient than others. Numerous algorithms are known and there has been much research into the topic.

6. Ideal (ring theory) - Wikipedia

   en.wikipedia.org/wiki/Ideal_(ring_theory)

   Given a ring R, a left ideal is a subset I of R that is a subgroup of the additive group of that "absorbs multiplication from the left by elements of ⁠ ⁠"; that is, is a left ideal if it satisfies the following two conditions:

7. Generator (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Generator_(mathematics)

   The 5th roots of unity in the complex plane under multiplication form a group of order 5. Each non-identity element by itself is a generator for the whole group. In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts.

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9. Lagged Fibonacci generator - Wikipedia

   en.wikipedia.org/wiki/Lagged_Fibonacci_generator

   If the operation used is addition, then the generator is described as an Additive Lagged Fibonacci Generator or ALFG, if multiplication is used, it is a Multiplicative Lagged Fibonacci Generator or MLFG, and if the XOR operation is used, it is called a Two-tap generalised feedback shift register or GFSR.