1. Welcome to our site! Electro Tech is an online community (with over 170,000 members) who enjoy talking about and building electronic circuits, projects and gadgets. To participate you need to register. Registration is free. Click here to register now.
    Dismiss Notice

a half-derivate or -integral or -fn.

Discussion in 'Mathematics and Physics' started by ci139, May 9, 2017.

  1. ci139

    ci139 Active Member

    Joined:
    Apr 12, 2012
    Messages:
    469
    Likes:
    37
    as for "-- find f (x) so that f (f (x)) = exp (x) --"
    ,
    find a halfDerivate[exp(x)] = exp^( '/2) [x] -- as for a^x = a^(x/2)·a^(x/2) the exp ' (x) = exp^( '/2) [x] "unknown operator" exp^( '/2) [x]

    it's something like find half limit for Lim_(x→0) Sin(x) = halfLim_(x→0) Sin(x) "unknown operator" halfLim_(x→0) Sin(x)


    (the target here is a "fraction space" in between "function space" and it's "differential space" so that the value 0.5 (a half) might be any fraction)

    the speciffic target here is "fraction space" for fraction 0.5 and the function exp(x)
     
  2. Ratchit

    Ratchit Well-Known Member

    Joined:
    Mar 12, 2008
    Messages:
    1,948
    Likes:
    83
    Is there a question within your incoherent posting?

    Ratch
     
  3. ci139

    ci139 Active Member

    Joined:
    Apr 12, 2012
    Messages:
    469
    Likes:
    37
    What difference would that make?
    Surprisingly your question contains a partial answer - as the wandering from function to it's derivate may turn out to be non-homogenous non-linear e.g. an incoherent travel - that also might not describe due limited scope and -vocabulary of today's math.
     
    Last edited: May 9, 2017

Share This Page