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  2. Lehmer random number generator - Wikipedia

    en.wikipedia.org/wiki/Lehmer_random_number_generator

    Most commonly, the modulus is chosen as a prime number, making the choice of a coprime seed trivial (any 0 < X 0 < m will do). This produces the best-quality output, but introduces some implementation complexity, and the range of the output is unlikely to match the desired application; converting to the desired range requires an additional multiplication.

  3. MATLAB - Wikipedia

    en.wikipedia.org/wiki/MATLAB

    For example, mod(2*J,n) will multiply every element in J by 2, and then reduce each element modulo n. MATLAB does include standard for and while loops, but (as in other similar applications such as APL and R), using the vectorized notation is encouraged and is often faster to execute.

  4. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.

  5. Linear congruential generator - Wikipedia

    en.wikipedia.org/wiki/Linear_congruential_generator

    A structure similar to LCGs, but not equivalent, is the multiple-recursive generator: X n = (a 1 X n−1 + a 2 X n2 + ··· + a k X n−k) mod m for k ≥ 2. With a prime modulus, this can generate periods up to m k −1, so is a useful extension of the LCG structure to larger periods.

  6. JA Ranch - Wikipedia

    en.wikipedia.org/wiki/JA_Ranch

    The JA Ranch is located southeast of Amarillo, Texas in the Texas Panhandle. The main ranch house, now a museum devoted to Charles Goodnight, is located a short way south of United States Route 287. It is a two-story construction, its oldest portion a log cabin which predates the American Civil War. The main portion of the house, built ...

  7. Multiplicative group of integers modulo n - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_group_of...

    The pattern shown by 8 and 16 holds [6] for higher powers 2 k, k > 2: {,}, is the 2-torsion subgroup, so (/) cannot be cyclic, and the powers of 3 are a cyclic subgroup of order 2 k − 2, so: ( Z / 2 k Z ) × ≅ C 2 × C 2 k − 2 . {\displaystyle (\mathbb {Z} /2^{k}\mathbb {Z} )^{\times }\cong \mathrm {C} _{2}\times \mathrm {C} _{2^{k-2}}.}

  8. Bell polynomials - Wikipedia

    en.wikipedia.org/wiki/Bell_polynomials

    For instance, in the above examples, the integer 3 can be partitioned into two parts as 2+1 only. Thus, there is only one monomial in B 3,2. However, the integer 6 can be partitioned into two parts as 5+1, 4+2, and 3+3. Thus, there are three monomials in B 6,2. Indeed, the subscripts of the variables in a monomial are the same as those given by ...

  9. Parallel task scheduling - Wikipedia

    en.wikipedia.org/wiki/Parallel_task_scheduling

    Parallel task scheduling (also called parallel job scheduling [1] [2] or parallel processing scheduling [3]) is an optimization problem in computer science and operations research. It is a variant of optimal job scheduling .

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