Sentence examples for given curve from inspiring English sources

Fermat's tangent methodPierre de Fermat anticipated the calculus with his approach to finding the tangent line to a given curve.

The given curve can also be used to interpolate locally the control points with GC2 continuity.

There is not even any algorithm known for deciding whether a given curve of degree 3 or 4 has finitely many or infinitely many rational points.

Specifically, in the first case one finds the tangent to a given curve, and in the second one computes the curve from the knowledge of the tangent.

Sometimes one needs to approximate a curve by means of splines that preserve the length of the given curve.

The trapezoidal rule approximates the given curve by a straight line segments, while Simpson's rule approximates it by a parabola.

The given curves possess satisfying shape-preserving properties.

For example, all the lines cutting each of two given curves form a congruence.

Thus, the given curves unify the representation of the curves for interpolating and approximating the control polygon.

In this paper, we design the manipulator trajectory using algebraic-trigonometric Hermite polynomials curves, and we can interpolate data points for manipulator via given curves.

The given curves are first split into a number of piecewise Bezier curves and elemental Bezier patches each of which passes through four splitting points are constructed.