Partitions of a Set | Set Theory
128 هزار بار بازدید -
4 سال پیش
-
What is a partition of
What is a partition of a set? Partitions are very useful in many different areas of mathematics, so it's an important concept to understand. We'll define partitions of sets and give examples in today's lesson!
A partition of a set is basically a way of splitting a set completely into disjoint parts. In other words, if S is a set, then a partition P of S is a collection of nonempty subsets of S such that every element of S is in exactly one element of P. In other words, S is being split into nonempty disjoint subsets such that every element of S is in exactly one of those subsets, and if we put those subsets in a set P - then P is a partition of S.
Lesson on subsets: What is a Subset?
Lesson on disjoint sets: What are Disjoint Sets? | Set Theory
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtu...
Vallow SoundCloud: SoundCloud: benwatts-3
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+WRATH OF MATH+
◆ Support Wrath of Math on Patreon: Patreon: wrathofmathlessons
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A partition of a set is basically a way of splitting a set completely into disjoint parts. In other words, if S is a set, then a partition P of S is a collection of nonempty subsets of S such that every element of S is in exactly one element of P. In other words, S is being split into nonempty disjoint subsets such that every element of S is in exactly one of those subsets, and if we put those subsets in a set P - then P is a partition of S.
Lesson on subsets: What is a Subset?
Lesson on disjoint sets: What are Disjoint Sets? | Set Theory
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtu...
Vallow SoundCloud: SoundCloud: benwatts-3
********************************************************************
+WRATH OF MATH+
◆ Support Wrath of Math on Patreon: Patreon: wrathofmathlessons
Follow Wrath of Math on...
● Instagram: Instagram: wrathofmathedu
● Facebook: Facebook: WrathofMath
● Twitter: Twitter: wrathofmathedu
My Music Channel: seanemusic
4 سال پیش
در تاریخ 1399/03/13 منتشر شده
است.
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