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Reparameterization

Given a function f specified by parametric variables u_1, ..., u_n, a reparameterization f^^ of f over domain U is a change of variables u_i in U->v_i->V via a function phi such that

f^^(v_i)=f(phi(v_i))

and there exists an inverse phi^(-1) such that

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

See also

Parameterization, Parametric Equations

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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