He has the unique ability of transforming extremely abstract ideas into concrete examples and he knows all the problems that newbies in probability encounter.
I love you. Thank you so much, your explanations are amazing. I had to listen hard at first but now I'm starting to understand. Thankfully you take your time and pause to explain these definitions. I appreciate that, perhaps a better question though if I was in your class "does anyone not understand ?". Thanks again, hope you're well! Keep it up
i had the same question. Is it the case that the power set is still a sigma algebra but you can't define a measure on it? As stated by the impossibility theorem
How to prove that the collection of sigma algebras containing a collection of subsets is countably infinite and not uncountable ? Professor assumes that the sigma algebras are countable when he uses subscript notation for the collection of Sigma algebras containing a collection of subsets of R.
Help me, please. A_1, . . . , A_k are disjoint sets in B[0, ∞) × B (R\{0}), where B is a Borel set and x is the cartesian product. How do we interpret B[0, ∞) × B (R\{0})?
hi, on lecture notes BASIC REAL ANALYSIS. 2.6 METRIC SPACE Triangle inequality: d(a, b) ≤ d(a, c) + d(b, c) for any c ∈ X is is not suppose to be d(a,c) ≤ d(a, c) + d(b, c)
Outstanding how Prof. Jagannathan, who is actually an engineer, presents this mathematical formalism in such a clear way.
This is so advanced mathematics, really impressed by how deep the engineering department of IIT teaches!
He has the unique ability of transforming extremely abstract ideas into concrete examples and he knows all the problems that newbies in probability encounter.
Thank you very much for this video, finally i found an understandable explanation of what a borel sigma algebra is!
I love you. Thank you so much, your explanations are amazing. I had to listen hard at first but now I'm starting to understand. Thankfully you take your time and pause to explain these definitions. I appreciate that, perhaps a better question though if I was in your class "does anyone not understand ?".
Thanks again, hope you're well! Keep it up
Great lecture, thanks for sharing it.
The instructor somewhat sounds like Jerry Seinfeld !!
Great lecture though
I like this teacher. Hes pretty good at explaining this shit.
I don't understand how it is not a well defined probability if we assign probability as length of the subset
very fantastic teacher
This is GOLD !
At 12:21 , how is the powerset of omega a sigma-algebra, it's only true when omega is countable right?
i had the same question. Is it the case that the power set is still a sigma algebra but you can't define a measure on it? As stated by the impossibility theorem
Thank you for your AMAZING lectures.
I have only one question what is I like small i is in big scripted I so what is big scripted I ?
it means i belongs to INDEXING set I={1,2, ... }
How to prove that the collection of sigma algebras containing a collection of subsets is countably infinite and not uncountable ? Professor assumes that the sigma algebras are countable when he uses subscript notation for the collection of Sigma algebras containing a collection of subsets of R.
Help me, please.
A_1, . . . , A_k are disjoint sets in B[0, ∞) × B (R\{0}), where B is a Borel set and x is the cartesian product.
How do we interpret B[0, ∞) × B (R\{0})?
why is Co collection of pnly open subintervals and not closed?
hi,
on lecture notes BASIC REAL ANALYSIS. 2.6 METRIC SPACE
Triangle inequality: d(a, b) ≤ d(a, c) + d(b, c) for any c ∈ X is is not suppose to be d(a,c) ≤ d(a, c) + d(b, c)
thank you dr. jagannathan
thank you!!
Great, though the lesson is slow