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Conveying inner product with words

  1. Nov 20, 2013 #1
    I was wondering about the proper way to say, [itex]\langle[/itex]A[itex]|[/itex]B[itex]\rangle[/itex] .

    I have recently heard, "The inner product of A with B." But I'm not sure if this is correct. Does anyone know the proper order in which to place A and B in the sentence?

    As a simple example: Suppose you're speaking with someone on the phone. Then one way to convey the expression, [itex]\frac{x^{2} + 2d}{5}[/itex] , is "x squared plus two d all over five."
    How would you do the same with [itex]\langle[/itex]A[itex]|[/itex]B[itex]\rangle[/itex] ?

    If someone could also point me in the direction of some literature where this is exemplified, that would very kind.
    I must have missed this some where along the line, and I can't seem to find a solid answer anywhere.
  2. jcsd
  3. Nov 20, 2013 #2
    The inner product of A and B with A in the first slot. This order qualifier is necessary in the case of a complex vector space. For reals the order doesn't matter.
  4. Nov 20, 2013 #3
    I appreciate the response. Anywhere I may be able to find an explicit example of this?
  5. Nov 20, 2013 #4


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    Since western languages are read and written from left to right, I don't think "the inner product of A and B" is any more ambiguous than "A minus B," which nobody would interpret as meaning ##B-A##.

    Of course if you are in an environment where left-to-right writing is not a universal rule, you might need to be more careful.
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