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The presented method, based on combining symbolic and numerical steps to the approximation problem, provides approximate parameterizations of space algebraic curves from a small number of approximating arcs.
According to the approximation theory, piecewise polynomial surfaces can approximate a smooth freeform surface in arbitrary precision.
The spectral methods, which belong to the approximation techniques, are often used to find approximate solution of FDEs.
This approximate solution necessarily includes various errors related to the approximation itself, special features of the particular method used, round-off errors, etc.
The problem reduces to the approximation of these integrals.
Let us turn to the approximation error (D lambda)).
It is due to the approximation in (53).
Now let us turn to the approximation result.
The coefficients related to the approximation technique are given.
This corresponds to the approximation of a continuous function using discrete values.
Corrections to the approximation are evaluated in the specially-designed, convergent perturbation theory.
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