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MathGroup Archive 1997

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Re: y=f(t) vs t=f(y)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg6309] Re: [mg6267] y=f(t) vs t=f(y)
  • From: seanross at worldnet.att.net
  • Date: Sat, 8 Mar 1997 00:26:33 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Larry Smith wrote:
> 
>      I would appreciate anyone helping me with using Mathematica to solve
>      the following (geometrically, numerically, etc)
> 
>      I need to find an example of a function y=f(t) such that f'(0)=1 but t
>      is not a function of y in any neighborhood of 0.  I just arbitrarily
>      picked f'(0)=1 you could pick something with value of 1. But the trick
>      is that t is not a function of y in this neighborhood.  Any
>      suggestions?
> 
>      Larry
>      larry.smith at clorox.com
>      or
>      lsmith at tcusa.net
> 
>      601-939-8555 ext 255

mathematics discipline and use the word function to mean what I would 
call a single valued continuous function.  If my guess is correct, then 
choose something like y=Sin[x] or y^2=x^2 etc, in which y is a function 
of x, but x is a multiple valued function of y.


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