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B Question about properties of sums and products

  1. May 15, 2016 #1
    Hi and sorry for bad english.

    I want to know if these properties are true

    https://gyazo.com/88c471f4bb9989b67a390c372f2c72fe [Broken]


    https://gyazo.com/85f4110664db6831576012debaf3a778 [Broken]

    I did not find these properties in any place.
    so I guess it will be obvious or are incorrect,
    if incorrect I would like to see counterexamples.
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. May 15, 2016 #2
    Can you write these properties using an "if ... then" structure and not use the word "so"?

    Also, can you write basic definitions of ##a##, ##b##, ##f## and so on? Are we working in the real numbers? Or a general vector space? Or?
  4. May 15, 2016 #3
    a and b are any whole numbers (or infinity) , f(i), g(i),t(i),b(i) are any functions of i
    Last edited: May 15, 2016
  5. May 20, 2016 #4
    For the first case, it isn't always true.
    The Sum of x between 1 and 0 is 1, and the sum of x^2 between 1 and 0 is also one. We can generalise this to x^n where n is real and not equal to 0, this would produce the same answer between [0,1]
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