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Student Support Forum: 'Function defined as the upper limit of an integ...' topicStudent Support Forum > General > "Function defined as the upper limit of an integ..."

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SteveJ
10/02/10 08:50am

Hi everyone,
I am pretty new to using to mathematica and I am having some trouble defining a function, I am using a curve defined on the unit sphere and am reparametrising it from its parameter theta to theta(t) to get a slightly different curve by setting gamma_1(t)=gamma(Theta(t)) where theta(t) is given by the equation:
t=Integrate[*stuff(Theta)*, {Theta,0,Theta(t)}]
where *stuff(Theta)* is just some things to do with the norm of the curve gamma and its geodesic curvature given in terms of the parameter theta.
I am just wondering how I can get mathematica to recognise Theta(t) as a new real function so I can use it to derive some things about my new curve gamma_1.
Sorry if this looks a bit awkward and thanks in advance for any help anyone may be able to give me.

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