This is a book on symplectic topology, a rapidly developing field of mathematics which
originated as a geometric tool for problems of classical mechanics. Since the 1980s …

Mathematicians delight in finding surprising connections between seemingly disparate
areas of mathematics. Whole domains of modern mathematics have arisen from exploration …

1) Restrictive Inflation is designed to ensure the managibility of the generated convex
polytope. Based on its characteristic of few variables but rich constraints, an efficient and …

Full article: Inellipses of Convex Polygons, Brianchon’s Theorem, and Bradley’s Theorem Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

In this paper, we extend the result of [1] by calculating some examples in detail, including the
inscribed ellipses in triangles, quadrilaterals, and pentagons. We also improve the original …

In general, there exists an ellipse passing through the vertices of a convex pentagon, but
any ellipse passing through the vertices of a convex hexagon does not have to exist. Thus …