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This form may be used with any m, but only works well for m with many repeated prime factors, such as a power of 2; using a computer's word size is the most common choice. If m were a square-free integer , this would only allow a ≡ 1 (mod m ), which makes a very poor PRNG; a selection of possible full-period multipliers is only available when ...
A least common multiple of a and b is a common multiple that is minimal, in the sense that for any other common multiple n of a and b, m divides n. In general, two elements in a commutative ring can have no least common multiple or more than one. However, any two least common multiples of the same pair of elements are associates. [10]
Laser capture microdissection, use of a laser through a microscope to isolate and extract cells; Liquid-crystal module, a liquid-crystal display module; Lower of cost or market, a value; Land change modeling, an analytical field of geography; Liverpool Classical Monthly, an academic journal on classical antiquity
Even in high-level languages, if the multiplier a is limited to √ m, then the double-width product ax can be computed using two single-width multiplications, and reduced using the techniques described above. To use Schrage's method, first factor m = qa + r, i.e. precompute the auxiliary constants r = m mod a and q = ⌊ m/a ⌋ = (m−r)/a.
This strategy avoids the overhead of recursive calls that do little or no work and may also allow the use of specialized non-recursive algorithms that, for those base cases, are more efficient than explicit recursion. A general procedure for a simple hybrid recursive algorithm is short-circuiting the base case, also known as arm's-length ...
Because its elements are related to the previous elements in a straightforward way, they are often defined using recursion. A drawing of the first 75 terms of Recamán's sequence, according with the method of visualization shown in the Numberphile video The Slightly Spooky Recamán Sequence [3]
The Carmichael lambda function of a prime power can be expressed in terms of the Euler totient. Any number that is not 1 or a prime power can be written uniquely as the product of distinct prime powers, in which case λ of the product is the least common multiple of the λ of the prime power factors.
Levinson recursion or Levinson–Durbin recursion is a procedure in linear algebra to recursively calculate the solution to an equation involving a Toeplitz matrix. The algorithm runs in Θ ( n 2 ) time, which is a strong improvement over Gauss–Jordan elimination , which runs in Θ( n 3 ).