Every basis is a dual basis

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  • เผยแพร่เมื่อ 7 ม.ค. 2025

ความคิดเห็น • 14

  • @ChefSalad
    @ChefSalad 5 ปีที่แล้ว +6

    I have decreed the following:
    Functions are black-boxes which take in numbers and spit out numbers.
    Functionals take in functions and spit out numbers.
    Functionalities take in functionals and spit out numbers.
    Functionalitations take in functionalities and spit out numbers.
    Functionalitationals take in functionalitations and spit out numbers.
    Functionalitationalities takes in functionalitationals and spit out numbers. And so on to infinity.
    (For the purpose of the discussion, vectors are just another type of number.)

    • @theproofessayist8441
      @theproofessayist8441 3 ปีที่แล้ว

      hahahahhaahahaha!

    • @abbeleon
      @abbeleon ปีที่แล้ว +2

      Not to be seditious, but how about the sequence: function, functional, functionalal, functionalalal,..., function(k)al,... where k denotes the number of stars on V?
      This allows for justified public use of the otherwise annoying "-alalalalalal." Cosider also the value of a rendition of Rihannas umbrella that goes like: 🎶under my function-alal, alal, alal 🎶

    • @ChefSalad
      @ChefSalad ปีที่แล้ว +1

      @@abbeleon your proposal makes sense and is what a sane mathematician use. Mine was more of a joke than anything real. We'll use yours when we're serious and mine when we're not. Ha-5-ha lol

  • @plaustrarius
    @plaustrarius 5 ปีที่แล้ว +4

    Every basis is a dual basis!! Amazing thumbnail, I audibly laughed

  • @High_Priest_Jonko
    @High_Priest_Jonko 5 ปีที่แล้ว +6

    I admire your professionalism, it distinguishes you from that obnoxious "FlammableMaths" meme channel. Keep up the great work!

    • @franciscoabusleme9085
      @franciscoabusleme9085 5 ปีที่แล้ว +2

      Sydney Carton he has great content though

    • @High_Priest_Jonko
      @High_Priest_Jonko 5 ปีที่แล้ว +2

      @@franciscoabusleme9085 I agree, shame that it's unwatchable. I appreciate that he's having fun with math, but I can't stomach it.

    • @drpeyam
      @drpeyam  5 ปีที่แล้ว +2

      Sydney Carton Thank you very much ☺️☺️☺️

  • @khanster
    @khanster 5 ปีที่แล้ว +1

    "All about that bass-is"

  • @dgrandlapinblanc
    @dgrandlapinblanc 5 ปีที่แล้ว

    OK. Thank you very much.

  • @Rysdan9
    @Rysdan9 5 ปีที่แล้ว

    @Dr Peyam could you please do videos on Green's Functions? Thank you.

  • @Л.С.Мото
    @Л.С.Мото 5 ปีที่แล้ว +1

    I thought for a moment that's you on the thumbnail

    • @drpeyam
      @drpeyam  5 ปีที่แล้ว

      Hahahaha