Sentence examples for geometric applications from inspiring English sources

On November 11th, Perelman had posted a thirty-nine-page paper entitled "The Entropy Formula for the Ricci Flow and Its Geometric Applications," on arXiv.org, a Web site used by mathematicians to post preprints — articles awaiting publication in refereed journals.

Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal, 4 vol. (1887 96; "Lessons on the General Theory of Surfaces and the Geometric Applications of Infinitesimal Calculus"), one of his most important works, deals with infinitesimal geometry and embodies most of his previous research work.

We present several geometric applications of this result, the most important of which is a sharpening of the Johnson Lindenstrauss embedding Lemma.

For various geometric applications, it is enough to show that such N-coefficients prescribe a canonical nonholonomic frame structure (on the Lagrange spaces or on the Lagrange algebroid) as we shall do in the next subsection.

Geometric applications include the determination of the equation of a plane that passes through three non-collinear points, determination of the point of intersection of three non-parallel planes.

We demonstrate the efficacy and scalability of the proposed parallel solver through several examples in geometric applications, including Hausdorff distance queries, contact point computations, surface surface intersections, ray trap constructions, and bisector surface computations.

These problems include existence of solutions, stability theory, geometric properties, applications, etc.

Moreover, the equality cases and geometric inequalities applications related to Wireless Sensor Network are also discussed.

Generating subdivision surfaces with curve interpolation constraints is needed in both computer graphics and geometric modeling applications.

Additionally, in this paper we introduce a survey of sketch-based interfaces focused on 3D geometric modeling applications.

It is also useful for other computer aided design or computer-aided geometric design applications in which drawing curves with controlled curvature, e.g. fair curves, is important.