Cardinality of Sets with Repeated Elements | Set Theory
Вставка
- Опубліковано 19 сер 2024
- How do repeated elements in a set effect its cardinality? We go over this with examples in today's set theory video lesson. The short answer is that repeated elements do not effect the cardinality of a set, because sets are defined only by the distinct elements they contain. We will briefly discuss multisets, where repeated elements do matter. #SetTheory
Cardinality of a Set: • What is the Cardinalit...
How to Identify the Elements of a Set: • How to Identify the El...
Set Theory playlist: • Set Theory
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: / wrathofmathlessons
◆ Donate on PayPal: www.paypal.me/...
Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: crayonangel.ba...
Follow Wrath of Math on...
● Instagram: / wrathofmathedu
● Facebook: / wrathofmath
● Twitter: / wrathofmathedu
My Math Rap Channel: / @mathbars2020
Thank you teacher
Hello,
Thank you for making concept much easier
I have a question, what will be the power set of {a,a,b,c,b,a}
thanks for this!! But can you help me with this
A = {1, 2, 3}
B = {2, 2, 2}
A∩B = ?
Cardinality of A = 3
Cardinality of B = ?
Cardinality of A∩B = ?
B= 1
B=1
B=1
AnB=1
B=1
A (intersection)B=1
1
1
Thank you so much
Glad to help!
Can you help me
Show that the non-negative number x is expressive if and only if its decimal point is alternating
Thanks for watching, I don't think I'll be any help with that - I don't know what it means.
Thank you my brother in Christ
Thank you for watching!
So is {a,b,c} equal to {a,a,b,b,c}?
Yup, unless we're considering multisets. As far as sets go, they are the same, and there'd be no reason to write it the second way.
@@WrathofMath thank you very much
😢I dnt knew englush😢