In mathematics and in particular in combinatorics, the Lehmer code is a particular way to encode each possible permutation of a sequence of n numbers...

step interprets this sequence as a Lehmer code or (almost equivalently) as an inversion table. In the Lehmer code for a permutation σ, the number dn represents...

permutation of n elements in a straightforward way, either using them as Lehmer code or as inversion table representation; in the former case the resulting...

Derrick Henry "Dick" Lehmer (February 23, 1905 – May 22, 1991), almost always cited as D.H. Lehmer, was an American mathematician significant to the development...

sequence Lucas numbers Lucas–Lehmer primality test Mandelbrot set (draw) Mersenne primes Miller–Rabin primality test Morse code Numerical integration Pascal's...

artist Derrick Lehmer (disambiguation) Lehmer–Schur algorithm, in mathematics, named after Derrick Henry Lehmer Lehmer code Lehmer's conjecture (also...

that uniquely determines it. They are often called inversion vector or Lehmer code. (A list of sources is found here.) This article uses the term inversion...

In mathematics, the Lehmer mean of a tuple x {\displaystyle x} of positive real numbers, named after Derrick Henry Lehmer, is defined as: L p ( x ) =...

factorial representation of the integer, followed by an interpretation as a Lehmer code. The above equation is a particular case of the following general rule...

The Lehmer random number generator (named after D. H. Lehmer), sometimes also referred to as the Park–Miller random number generator (after Stephen K. Park...

For much of its history, it used the Lucas–Lehmer primality test, but the availability of Lucas–Lehmer assignments was deprecated in April 2021 to increase...

generator is often called a multiplicative congruential generator (MCG), or Lehmer RNG. If c ≠ 0, the method is called a mixed congruential generator.: 4- ...

From its inception until 2018, the project relied primarily on the Lucas–Lehmer primality test as it is an algorithm that is both specialized for testing...

Carmichael numbers. However, a slightly weaker variant of the converse is Lehmer's theorem: If there exists an integer a such that a p − 1 ≡ 1 ( mod p ) {\displaystyle...

In effects coding, we code the group of interest with a 1, just as we would for dummy coding. The principal difference is that we code −1 for the group...

version eliminates the increment, reducing the LCG to a multiplicative (Lehmer-style) generator with a period of only 262, and uses the weaker XSH-RS output...

process. Aitken's delta-squared process Graeffe's method Horner's method Lehmer-Schur algorithm List of things named after members of the Bernoulli family...

of time. The term "backtrack" was coined by American mathematician D. H. Lehmer in the 1950s. The pioneer string-processing language SNOBOL (1962) may have...

efficient test to determine whether a given Mersenne number is prime: the Lucas–Lehmer primality test (LLT), which makes it much easier to test the primality of...

12 (Washington, D.C.: U.S. Government Printing Office, 1951): pp. 36–38. Lehmer, Derrick H. (1951). "Mathematical methods in large-scale computing units"...

nontotient, convolved Fibonacci number 943 = 23 × 41 944 = 24 × 59, nontotient, Lehmer-Comtet number 945 = 33 × 5 × 7, double factorial of 9, smallest odd abundant...

use of the promotional codes. The email using the code A1 has a 5% response rate (50 of the 1,000 people emailed used the code to buy a product), and...

ISSN 0273-0979. Murty, M. Ram; Saradha, N. (2010-12-01). "Euler–Lehmer constants and a conjecture of Erdös". Journal of Number Theory. 130 (12):...

Pépin's test for Fermat numbers (1877), Proth's theorem (c. 1878), the Lucas–Lehmer primality test (originated 1856), and the generalized Lucas primality test...

characterize computational efficiency of a Machin-like formula is the Lehmer's measure, defined as λ = ∑ n = 1 N 1 log 10 ⁡ ( b n / a n ) {\displaystyle...

the original on January 7, 2014. Retrieved March 4, 2017. Description of Lehmer's program computing the exponent of modulo 2 prime De Mol & Bullynck 2008...

loop for the first time, the code variable base is equivalent to b. However, the repeated squaring in the third line of code ensures that at the completion...

correctly. For example, the HTML symbol "x̄" combines two codes — the base letter "x" plus a code for the line above ( ̄ or ¯). In some document formats...

similarly for the other parallel assignments. This leads to the following code: function extended_gcd(a, b) (old_r, r) := (a, b) (old_s, s) := (1, 0) (old_t...

Ueli M.; Wolf, Stefan (2000), "The Diffie-Hellman protocol", Designs, Codes and Cryptography, 19 (2–3): 147–171, doi:10.1023/A:1008302122286, MR 1759615...