The question seeks to find a maximum value for the area of a sofa that can slide around a 90-degree corner in a corridor of a given width. Mathematicians have long suspected that the answer lies with ...

The newly installed “2theXtreme” exhibit at Orlando Science Center takes those first activities and then craftily spotlights mathematical properties. “They do a really good job of giving you an ...

Abstract: In this paper we have developed a family of shape measures. All the measures from the family evaluate the degree to which a shape looks like a predefined convex polygon. A quite new approach ...

"In a class populated by students who already have some exposure to the concept of a manifold, the presence of chapter 3 in this text may make for an unusual and interesting course. The primary ...

Routines to create rounded corners, with either circular rounding, or continuous curvature rounding with no sudden curvature transitions. Provides rounding of corners or rounding that preserves corner ...

Path A series of points joined by straight line segements. Bezier Curve A polynomial curve defined by a list of control points. The curve starts at the first control point and ends at the last one.

Constraint qualifications (CQ) are assumptions on the algebraic description of the feasible set of an optimization problem that ensure that the KKT conditions hold at any local minimum. In this work ...

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Perform calculations on lines, polygons, planes and circles, including normals, intersections of objects, distance between objects, and tangent lines. Throughout this library, lines can be treated as ...

In the past decade, stimuli-responsive hydrogels are increasingly studied as biomaterials for tissue engineering and regenerative medicine purposes. Smart hydrogels can not only replicate the ...