# N-Sphere

In mathematics, a rose (also known as a bouquet of n circles) is a topological space obtained by gluing together a collection of circles along a single point. The hairy ball theorem of algebraic topology (sometimes called the hedgehog theorem in Europe) states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres. In mathematics, an n-sphere is a generalization of the surface of an ordinary sphere to a n-dimensional space. For any natural number n, an n-sphere of radius r is defined as the set of points in-dimensional Euclidean space which are at distance r from a central point, where the . May 27, · Mathematica» The #1 tool for creating Demonstrations and anything technical. Wolfram|Alpha» Explore anything with the first computational knowledge engine.

Retain more nitrogen for plant uptake with this nitrogen fertilizer manager. Learn how NutriSphere-N® contributes to a higher yield here. In homotopy theory, spheres and Eilenberg–MacLane spaces are two very different types of basic spaces from which all spaces can be built. In higher dimensions, the great circles on the n-sphere are the intersection of the n-sphere with 2-planes that pass through the origin in the Euclidean space R n + 1. An n -ball is a ball in n -dimensional Euclidean space. The volume of a unit n-ball is an important expression that occurs in formulas throughout mathematics; it generalizes the notion of the volume enclosed by a sphere in 3-dimensional space. Jun 01, · This is a wonderful question. I am very happy about the A2A. The short answer is that, yes, there are plenty of ways to do it. Allow me to describe two. [math] n [/math]-sphere as an extended Euclidean space. Any [math] n [/math]-sphere can be. nSphere offers the next great technology platform for consumer data collection and interaction. Millions of consumer data points and our proprietary mobile engagement platform allow us to initiate high-impact consumer marketing. In mathematics, the n-sphere is the generalization of the ordinary sphere to an n -dimensional space. For any natural number n, an n -sphere of radius r is defined as the set of points in (n + 1)-dimensional Euclidean space which are at distance r from a central point, where the .

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