permutation definition

USAGE SUMMARY

The phrase "permutation definition" is correct and usable in written English. You can use it when discussing the concept of permutations in mathematics or related fields. For example, "The permutation definition explains how to arrange a set of items in different orders." Alternative expressions include "definition of permutation" and "permutation explanation."

✓ Grammatically correct

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Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

From the Base Definition, a series of five permutations (Definition 1.a. - 1.e).

BMC Health Services Research

"A permutation toy!" "His definition is actually much more interesting than your brand name," Ainan's English expat father Valentine, a pulsating mix of fervour and neediness, points out.

The Guardian

Yet another unique permutation of the ED definition is the medical specialty ED.

International Journal of Emergency Medicine

The downlink subframe must follow some constraints regarding the permutation zone and burst definitions.

EURASIP Journal on Wireless Communications and Networking

Along the way, we survey a number of needed results on the category of permutation algebras, an algebra-theoretic definition of nominal sets.

Electronic Notes in Theoretical Computer Science

Using the properties of a permutation matrix together with the definition of π in (iii); we have π π T = P Q P T Q T = P P T + Q Q T = I.  .

EURASIP Journal on Wireless Communications and Networking

With this definition, every cyclic permutation on a simplex has index 1 and the sum of the indices over all fixed subsimplices of a simplex is 1 for any permutation T. This matches that L ( T ) = 1 for any automorphism of a simplex K n.

Fixed Point Theory and Applications

The matrix Q is not unique but for any choice of Q, following holds: P T Q = 0 ; Q T Q = I ; Q Q T = I - P P T. Using the properties of a permutation matrix together with the definition of π in (iii); we have π π T = P Q P T Q T = P P T + Q Q T = I.

EURASIP Journal on Wireless Communications and Networking

Basically, any strictly increasing (and thus order preserving) function can be applied to the test statistic and its permutation values without changing (the definition of) Pperm.

Bioinformatics

We obtained evidence for overlap of association signals between osteoarthritis and height and between osteoarthritis and BMI at different definition thresholds, corroborated by permutation analyses to obtain empirical p values.

Annals of the Rheumatic Diseases

The minimization problem in (15) can be solved by means of a brute-force computer search and results in the definition of a permuted parity-check matrix, whose layers are scrambled according to the optimal permutation.

EURASIP Journal on Embedded Systems

Expert writing Tips

Best practice

When using the phrase "permutation definition", ensure that the context clearly indicates whether you're referring to a formal mathematical definition or a more general explanation of the concept.

Common error

Avoid using "permutation definition" when you actually mean to describe a combination. A permutation considers the order of elements, while a combination does not. For example, in the permutation {1,2,3}, the orders 123 and 321 are counted as distinct; but in combinations, they are not.

Linguistic Context

The phrase "permutation definition" functions as a noun phrase, typically serving as the subject or object of a sentence. It identifies the concept of defining what a permutation is. Although Ludwig has not provided examples for this exact phrase, the definition of permutation is a key concept in combinatorics.

Expression frequency: Missing

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Ludwig's WRAP-UP

In summary, the phrase "permutation definition" is a grammatically sound noun phrase used to refer to the explanation of permutations. While Ludwig has not provided examples of this exact phrase, it is expected to occur frequently in formal and scientific contexts, particularly in discussions about mathematics, statistics, and computer science. Remember to clarify whether the context is a formal mathematical definition or a general explanation, and avoid confusing permutations with combinations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Definition of permutation

Reverses the order of the words but retains the same meaning.

Explanation of permutation

Uses "explanation" as a synonym for "definition".

Defining a permutation

Uses a gerund form to focus on the action of defining.

Permutation meaning

Substitutes "definition" with "meaning", which is semantically similar.

The meaning of permutation

Adds "the" to the beginning of the phrase for emphasis.

Permutation explained

Uses a verb form to describe the act of explaining a permutation.

Permutation described

Replaces "definition" with a verb form emphasizing the act of describing.

What is a permutation?

Phrases the query as a question seeking a definition.

Permutation concept

Replaces definition with another abstraction.

Permutation terminology

Replaces definition with a word that indicates a technical term.

FAQs

How is "permutation definition" used in a sentence?

You can use "permutation definition" in a sentence like, "The "permutation definition" explains the arrangement of objects in a specific order."

What's an alternative to "permutation definition"?

Alternatives include "definition of a permutation", "permutation explained", or "what is a permutation?"

Is it better to say "definition of permutation" or "permutation definition"?

Both "definition of permutation" and ""permutation definition"" are correct and commonly used. The choice often depends on stylistic preference.

What does "permutation definition" refer to?

The ""permutation definition"" refers to the formal explanation of how elements can be arranged in a specific order, where the order matters.