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Thread: Cauchy?

  1. Nov 19th, 2002, 06:38 PM #1
    Kalkewl8ter
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    Cauchy?

    Does anyone know of or about the Cauchy-Schwartz inequality?
    Merry Math Making!
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  2. Nov 20th, 2002, 10:17 AM #2
    jim mcnamara
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    Are you thinking about convolutions? (....Schwartz functions can be used to represent them).



    I'm no mathematician - Guv - if he's still around, is.
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  3. Nov 20th, 2002, 06:08 PM #3
    bugzpodder
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    (x12+x22+...+xn2)(y12+y22+...+yn2)=(x1y1+x2y2+...+xnyn)2

    equality occurs when x1:x2:...:xn=y1:y2:...:yn

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  4. Nov 21st, 2002, 02:24 PM #4
    marnitzg
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    A more general form.
    If u and v are vectors in a real inner product space, then
    |<u,v>| <= ||u|| ||v||

    What you want to know bout it?
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  6. Nov 22nd, 2002, 10:40 PM #5
    Kalkewl8ter
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    Thanks bugz and marnitzg...that's all I wanted to know.
    Merry Math Making!
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