noun

definition

One of the ways something exists, or the ways a set of objects can be ordered.

example

Which permutation for completing our agenda items makes the most sense?

definition

A one-to-one mapping from a finite set to itself.

example

This permutation takes each element to the one following it, with the last mapped back to the first.

definition

An ordering of a finite set of distinct elements.

example

There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.

definition

A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.

Examples of permutations in a Sentence

And there is no originality in it; only endless permutations and combinations of doctrines already known and accepted.

There are numerous permutations to be taken into account, sight being one factor.

Every unit of the rth species which does not vanish is the product of r different units of the first species; two such units are independent unless they are permutations of the same set of primary units e i, in which case they are equal or opposite according to the usual rule employed in determinants.

There are lots of plumbing supplies on the market, and even the trusty plumbing wrench comes in a number of permutations.

Luckily, the Worldwide Web Consortium has created many tutorials such as "First CSS" that explain how the properties work in various permutations.

Cute FTP Lite will store all of these permutations in a "site profile".

Under the general heading "Algebra and Theory of Numbers" occur the subheadings "Elements of Algebra," with the topics rational polynomials, permutations, &c., partitions, probabilities; "Linear Substitutions," with the topics determinants, &c., linear substitutions, general theory of quantics; "Theory of Algebraic Equations," with the topics existence of roots, separation of and approximation to, theory of Galois, &c. "Theory of Numbers," with the topics congruences, quadratic residues, prime numbers, particular irrational and transcendental numbers.

Y ...a n v, the summation being for all permutations of the n numbers, is called the determinant of the n 2 quantities.

Now a11A11= alla22a33...ann, wherein all is not to be changed, but the second suffixes in the product a 22 a 33 ...a nn assume all permutations, the number of transpositions necessary determining the sign to be affixed to the member.

In particular, the number of permutations of the whole stock is n!.

The intervention of the Curia, which hitherto had been hostile to Casimir because of his steady and patriotic resistance to papal aggression, was due to the permutations of European politics.

She recently lost her soul to a Markov Chain and is trying endless permutations and recombinations in order to get it back.

A split sample approach is used to test the impact of the various permutations of the above.

Whether or not they work is up to the individual user, but if nothing else, the sites can provide you with Powerball permutations you may not have thought of.

Robert Heinlein (one of science fiction's pioneers) once said there are only six plots in science fiction, and all of them have been done over and over in endless permutations.

The composer likened the piece to a painting " as it explores the many permutations and colors of sound.

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