2016年1月29日 · Second, the n -Tuple. A n -tuple is very similar to a set, however the objects need not to be the same and the ordering of objects within the n -tuple is important. n -Tuples are usually denoted with parentheses and the objects within are seperated with commata as in sets.

2015年2月3日 · Neither a tuple nor a sequence need be increasing or decreasing. The important thing about both is that there is order (in the sense of location): (1, 2) (1, 2) is not the same tuple as (2, 1) (2, 1).

I've read this definition for an hour now and I cannot piece it together abstractly. To define an n-tuple as a function F F, where X X is the index set and domain, and Y Y is the set containing the elements of the tuple:

2017年10月31日 · The idea behind the definition of pair it is that we must have a set with two elements but we must be able to characterize them in some way. The trick is: the first element of the pair has one element while the second element has two. Thus, we cannot mix them up. In the definition of ordered triple, we have again a pair: the first element is in turn a pair while the second element is a set ...

I (think) the first is shorthand of a n-tuple. I guess the second is something like that, but I don't understand the difference between the first and the second. Is this common notation something odd, or what? I am pretty rusty on my math, so if I am missing something obvious please don't hesitate to point that out.

But an unordered 4-tuple is something like this (1,2,2,3) or (7,1,4,1) Is this a valid difference between an ordered and an unordered tuple? If yes then are there any other differences?? Thanks in advance.

An ordered n n -tuple is an ordered sequence of n n entries. Of course, duplicates are possible. Usually, a set does not contain duplicate entries, so "set" is an unlucky way to name n n -tuples, "list" would be much better.

2018年8月22日 · The second one is not a very good definition of n-tuples, because it does not distinguish between a three-element sequence (a, b, c) and a two-element sequence ((a, b), c).

2020年10月13日 · Wikipedia says "An n n -tuple is a sequence (or ordered list) of n n elements, where n n is a non-negative integer." so I have a n n -tuple m m, what of m m is n n?

My understanding of n-tuple and a permutation of n elements is, that both are ordered sequences of n elements. Are there differences in the objects correlating to these two terms ? I guess it would be nice if any help could be coded in language than can be understood by someone fascinated in and swamped by mathematics, though any help is ...