Mod-01 Lec-08 GENERATED Σ-ALGEBRA, BOREL SETS

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  • เผยแพร่เมื่อ 9 พ.ย. 2024

ความคิดเห็น • 22

  • @mingweifei7694
    @mingweifei7694 3 ปีที่แล้ว +8

    This is so advanced mathematics, really impressed by how deep the engineering department of IIT teaches!

  • @Thefare1234
    @Thefare1234 ปีที่แล้ว +2

    He has the unique ability of transforming extremely abstract ideas into concrete examples and he knows all the problems that newbies in probability encounter.

  • @keyyyla
    @keyyyla 4 ปีที่แล้ว +9

    Outstanding how Prof. Jagannathan, who is actually an engineer, presents this mathematical formalism in such a clear way.

  • @dantheman9270
    @dantheman9270 7 ปีที่แล้ว +5

    Thank you very much for this video, finally i found an understandable explanation of what a borel sigma algebra is!

  • @thybowllingman2752
    @thybowllingman2752 6 ปีที่แล้ว +3

    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

  • @thomasjefferson6225
    @thomasjefferson6225 ปีที่แล้ว

    I like this teacher. Hes pretty good at explaining this shit.

  • @hituldesai7174
    @hituldesai7174 5 ปีที่แล้ว +8

    The instructor somewhat sounds like Jerry Seinfeld !!
    Great lecture though

  • @karansaini305
    @karansaini305 5 ปีที่แล้ว +1

    very fantastic teacher

  • @kartikkamboj295
    @kartikkamboj295 4 ปีที่แล้ว

    This is GOLD !

  • @peterr653
    @peterr653 6 ปีที่แล้ว +1

    Great lecture, thanks for sharing it.

  • @picsou97
    @picsou97 8 ปีที่แล้ว

    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)

  • @omarsetihe4019
    @omarsetihe4019 6 ปีที่แล้ว +1

    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 ?

    • @ketan9318
      @ketan9318 5 ปีที่แล้ว +1

      it means i belongs to INDEXING set I={1,2, ... }

  • @piyushkumar-wg8cv
    @piyushkumar-wg8cv 2 ปีที่แล้ว +1

    I don't understand how it is not a well defined probability if we assign probability as length of the subset

  • @udaydeshpande2225
    @udaydeshpande2225 4 หลายเดือนก่อน

    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.

  • @SpaceExplorer
    @SpaceExplorer 9 ปีที่แล้ว

    thank you dr. jagannathan

  • @HarpreetSingh-ke2zk
    @HarpreetSingh-ke2zk 2 ปีที่แล้ว

    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})?

  • @juggernaut420
    @juggernaut420 6 ปีที่แล้ว

    why is Co collection of pnly open subintervals and not closed?

  • @lilyb7439
    @lilyb7439 9 ปีที่แล้ว +1

    thank you!!

  • @akshathashenoy2130
    @akshathashenoy2130 2 ปีที่แล้ว

    At 12:21 , how is the powerset of omega a sigma-algebra, it's only true when omega is countable right?

    • @ujan754
      @ujan754 ปีที่แล้ว

      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

  • @batamuchiphiko6330
    @batamuchiphiko6330 5 ปีที่แล้ว

    Great, though the lesson is slow