क्रम-संकोच इसके अंग्रेजी अर्थ का उदाहरण

, A permutation, F permutation, T permutation, etc.

are transformed to the permutations:.

Although there are theoretically 7 trillion possibilities for each of the A B C D E F permutations, the characteristics above have narrowed the A and D permutations to just 13 possibilities, B and E to just 30 possibilities, and C and F to just 20 possibilities.

For the Schwinger functions there is a list of conditions — analyticity, permutation symmetry, Euclidean covariance, and reflection positivity — which a set of functions defined on various powers of Euclidean space-time must satisfy in order to be the analytic continuation of the set of correlation functions of a QFT satisfying the Wightman axioms.

The set of all unit ray transformations is thus the permutation group on .

Those singleton cycles must pair in the individual permutations, so the characteristic for CF implies that the "E" and "Z" exchange in both the C and F permutations.

It is designed as a substitution–permutation network, which bears large similarity to Rijndael.

These enumerate the number of alternating permutations on n letters and are related to the Euler numbers and the Bernoulli numbers.

For such algorithms, even a fixed pseudo-random permutation may be good enough.

When the line is viewed as a projective space in isolation, any permutation of the points of a projective line is a collineation, since every set of points are collinear.

The Polish Cipher Bureau used the theory of permutations to start breaking the Enigma cipher in late 1932.