![]() In the upper row, the integers are usually written in their natural order. Since the properties of a permutation are independent of the nature of the elements a, b, …, c, the latter are usually replaced by the integers 1, 2, …, n. Here, each element of the given set is written above the element corresponding to it. The concept of permutation is applied chiefly to finite sets, and only this case will be considered here. Thus, a permutation is essentially a one-to-one mapping of a set onto itself. Each element of the initial set must be obtained precisely once as a result of the permutation. For example, in combinatorics, the term “permutation” is typically used to refer to a specific ordering of a set of objects, while “permuter” may be used more generally to refer to any function that rearranges the elements of a set.Įxample: In a study of combinatorial designs, the researchers used the term “permutation” to refer to the specific ordering of the design points, while the term “permuter” was used to refer to any function that rearranged the design points.The replacement of each of the elements a of a given set by another element ϕ( a) of the same set. However, there are some cases where one word may be preferred over the other. In mathematical notation, permute and permuter are often used interchangeably to refer to the same concept. In these cases, it’s important to understand the context in which the words are being used in order to determine the correct choice. While the rules for using permute and permuter are generally straightforward, there are a few exceptions that can cause confusion. It is important to consider the specific context and intended meaning when choosing between these terms. Permuter might not be commonly used in linguistic contexts.Īs these examples illustrate, the choice between permute and permuter can vary depending on the context in which they are used. For instance, the sentence “The quick brown fox jumps over the lazy dog” could be permuted to “The lazy dog jumps over the quick brown fox”.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |