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Reparameterization


A reparameterization of a function f with domain U replaces its arguments u by new parameter tuples v using an invertible map phi:V->U. Here, u=phi(v), with u=(u_1,...,u_n) in U and v=(v_1,...,v_n) in V. The reparameterized function f^^ is defined by

 f^^(v)=f(phi(v))

and satisfies

 f^^(phi^(-1)(u))=f(u).

See also

Parameterization, Parametric Equations

Portions of this entry contributed by Stuart Wilson

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References

Pressley, A. Elementary Differential Geometry, 2nd ed. London, England: Springer, p. 13, 2010.

Referenced on Wolfram|Alpha

Reparameterization

Cite this as:

Weisstein, Eric W., with contributions by Stuart Wilson. "Reparameterization." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Reparameterization.html

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