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.