In mathematics, a well-order on a set S is a total ordering on S with the property that every non-empty subset of S has a least element in this ordering. Well-ordering principle · Well-ordering theorem · Greatest element and least... |
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В математике хороший порядок на множестве S — это полный порядок на S, обладающий тем свойством, что каждое непустое подмножество S имеет наименьший элемент в этом порядке. Множество S вместе с порядком называется тогда вполне упорядоченным... Википедия (Английский язык)
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A totally ordered set (A,<=) is said to be well ordered (or have a well-founded order) iff every nonempty subset of A has a least element (Ciesielski 1997, ... |
30 июн. 2021 г. · A set of numbers is well ordered when each of its nonempty subsets has a minimum element. The Well Ordering Principle says, of course, that the ... |
26 дек. 2023 г. · A set equipped with a well-order is called a well-ordered set, or (following 'poset') a woset. Actually, the term 'well-ordered' came first; ' ... |
If A is a totally ordered set such that every non-empty subset B of A has infimum, which belongs to B, then A is called a well-ordered set. In this case the ... |
10 апр. 2019 г. · A well-ordered set is a set of ordered things such that, no matter what collection of things you take from it, there will be a smallest element in that ... |
A set X is well-ordered by a strict total order if every non-empty subset of X has a least element under the ordering. The well-ordering theorem together with ... |
Any finite totally ordered set is well-ordered. The simplest infinite well-ordered set is N , also called ω in this context. |
What is a well-ordered set of numbers? - Quora www.quora.com › What-is-a-well-ordered-set-of-numbers
1 нояб. 2023 г. · A well-ordered set is a set that has a strict total order (given any two different elements, one is strictly greater than or less than the other) ... How do you tell if a set is well-ordered in math? Is the set of positive integers considered a well ordered ... What is a well-ordering of a set? Can the Real numbers be well ordered, and, if so, how? Другие результаты с сайта www.quora.com |
20 июн. 2016 г. · The well order principle simply states: For every nonempty set x there is a relation R⊆x×x such that (x;R) is a well-order. Hence, in ZFC, there ... Well-ordering on the integers: "every subset of Z has a least ... what is the difference between well ordered set and totally ... questions about well-order - Mathematics Stack Exchange The difference between well order and total order? Другие результаты с сайта math.stackexchange.com |
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