Mod-03 Lec-14 Metric Spaces: Definition and Examples

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  • เผยแพร่เมื่อ 9 ม.ค. 2025

ความคิดเห็น • 15

  • @dhirajupadhyay01
    @dhirajupadhyay01 5 ปีที่แล้ว +8

    In case anyone is struggling with the last step of the proof of Young's Inequality, here is a hint: You got to use the definition of the conjugate exponent. We know 1/p + 1/q = 1. Therefore, p + q = pq (equation 1) and q/p = q - 1 (equation 2). I used these equations to complete the final step of Young's Inequality.

  • @meetrayvadera2770
    @meetrayvadera2770 5 ปีที่แล้ว

    At 27:00, Derivative of function f'(t) is not defined for t=0.
    I think f(t) is only defined for positive real numbers.

    • @bdbrightdiamond
      @bdbrightdiamond 4 ปีที่แล้ว +1

      Offline class wale bhi yahi se pade😂😂

    • @meetrayvadera2770
      @meetrayvadera2770 4 ปีที่แล้ว +1

      @@bdbrightdiamond lol😂

  • @saisravanbharadwajkarri3925
    @saisravanbharadwajkarri3925 2 ปีที่แล้ว

    Need one clarification here, are p,q always conjugate exponents , like p+q = pq always true? We assumed 1

  • @prabhaterarunalo761
    @prabhaterarunalo761 6 หลายเดือนก่อน

    Excellent lectures sir❤

  • @vaibhavkumargautam
    @vaibhavkumargautam 10 ปีที่แล้ว

    at 27:59 . if t

    • @pmchandu2
      @pmchandu2 9 ปีที่แล้ว

      +vaibhav kumar : f'(t) is < 0 implies that f(t) is decreasing in(-inf,t) and increasing in(t,inf)
      the graph is for f(t) not f'(t)

  • @senelezwelishasithole6596
    @senelezwelishasithole6596 8 ปีที่แล้ว

    30:26 how is that [ a / b^(q/p) ] * b^q = ab

    • @sudhirkulkarni7419
      @sudhirkulkarni7419 8 ปีที่แล้ว +4

      Note that 1/p + 1/q = 1. The exponent of b is q - q/p = q(1 - 1/p) = q (1/q) = 1.

  • @tataneeharika6796
    @tataneeharika6796 7 ปีที่แล้ว

    gd evng sir,i want imp questions in real analysis for msc fst yr nd notes pdf can u plzzz sir

  • @saidrajabu8876
    @saidrajabu8876 9 ปีที่แล้ว

    where ca i find books for more examples? help me please

    • @olidg
      @olidg 9 ปีที่แล้ว

      said rajabu Principles of Real Analysis by Charalambos D. Aliprantis,...

  • @ArjunKumar-bj5xn
    @ArjunKumar-bj5xn 6 ปีที่แล้ว +1

    Sir,you are just teaching the concept not giving any examples to clearity of concept.That's why ,we are not able to understand atleast 80 percent.