# Polygonal Line

## Polygonal Line

in mathematics, a broken line composed of a finite number of line segments. A polygonal line is also understood to mean a closed broken line—that is, a polygon.

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in mathematics, a broken line composed of a finite number of line segments. A polygonal line is also understood to mean a closed broken line—that is, a polygon.

The polygonal line [GAMMA] is determined by 10 points regularly spaced on the circle of center 0 and radius 1.

When the matrix A is real and, assuming that the polygonal line [GAMMA] is symmetric with respect to the real axis and intersects it only in two points, half of the computation can be saved since

In this paper, we have developed a reliable method for counting the eigenvalues in a region surrounded by a user-defined polygonal line.

4; n : order of the matrix; [GAMMA] : definition of the polygonal line (vertices are regularly distributed on a circle C[center,radius], or on an ellipse E[center,horizontal semi-axis,vertical semi-axis], or defined by a rectangle); Neig : number of surrounded eigenvalues; Time: elapsed time (s); Nintv: number of intervals.

The whole polygonal line can be approximated in that way, except the 1st and the last point.

For the purpose of the problem, a polygonal line whose vertices are equidistant has to be generated.

Saux (2003) reported that a B-spline curve representation is better than the usual polygonal line representation for isobathymetric line modeling.

Because polygonal line generalization methods do not work well with strong constraints there was need for new methods which would be able to deal with such constraints.

Let f be a B-spline curve approximated by a polygonal line s Two segments([P.

River slope and river length are unambiguous because there is only one polygonal line for each river.

A polygonal line, or polyline, is defined by a sequence of points P = {[p.

Because we work primarily with data in the British Columbia TRIM standard (Surveys and Resource Mapping Branch 1992), we start with a vector-based representation of a river system: rivers are polygonal lines with a distinguished direction of flow.

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