Bezier curves, mainly of the Cubic variety, are used extensively in graphics and design programs, like SVG and Opentype fonts. There are some mathematically complete ways to calculate the length of a ...

Abstract: Taking into consideration the fact that both the catenary and the parabola curves occur in plans of overhead lines, it is very important for electrical design engineers to clearly know what ...

We study the asymptotic behavior of the asymptotic translation lengths on the curve complexes of pseudo-Anosov monodromies in a fibered cone of a fibered hyperbolic 3-manifold M with b1(M) ≥ 2. For a ...