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A main problem in permutation codes is to determine the value of (,), where (,) is defined to be the maximum number of codewords in a permutation code of length and minimum distance . There has been little progress made for 4 ≤ d ≤ n − 1 {\displaystyle 4\leq d\leq n-1} , except for small lengths.
The format string used in strftime traces back to at least PWB/UNIX 1.0, released in 1977. Its date system command includes various formatting options. [2] [3] In 1989, the ANSI C standard is released including strftime and other date and time functions. [4]
Programming by permutation gives little or no assurance about the quality of the code produced—it is the polar opposite of formal verification. Programmers are often compelled to program by permutation when an API is insufficiently documented.
Permute instructions occur in both scalar processors as well as vector processing engines as well as GPUs.In vector instruction sets they are typically named "Register Gather/Scatter" operations such as in RISC-V vectors, [2] and take Vectors as input for both source elements and source array, and output another Vector.
A map of the 24 permutations and the 23 swaps used in Heap's algorithm permuting the four letters A (amber), B (blue), C (cyan) and D (dark red) Wheel diagram of all permutations of length = generated by Heap's algorithm, where each permutation is color-coded (1=blue, 2=green, 3=yellow, 4=red).
The birthday paradox refers to the counterintuitive fact that only 23 people are needed for that probability to exceed 50%. The birthday paradox is a veridical paradox: it seems wrong at first glance but is, in fact, true. While it may seem surprising that only 23 individuals are required to reach a 50% probability of a shared birthday, this ...
Alternating permutation; Circular shift; Cyclic permutation; Derangement; Even and odd permutations—see Parity of a permutation; Josephus permutation; Parity of a permutation; Separable permutation; Stirling permutation; Superpattern; Transposition (mathematics) Unpredictable permutation
In combinatorial mathematics and theoretical computer science, a (classical) permutation pattern is a sub-permutation of a longer permutation.Any permutation may be written in one-line notation as a sequence of entries representing the result of applying the permutation to the sequence 123...; for instance the sequence 213 represents the permutation on three elements that swaps elements 1 and 2.