n-sphere
1. Definition
Given the euclidean space \(\mathbb{R}^n\), the n-sphere \(S^n\) is defined as:
\begin{align*} S^n \coloneqq \{x \in \mathbb{R}^{n+1} : \|x \| = 1\} \subseteq \mathbb{R}^{n+1} \end{align*}Given the euclidean space \(\mathbb{R}^n\), the n-sphere \(S^n\) is defined as:
\begin{align*} S^n \coloneqq \{x \in \mathbb{R}^{n+1} : \|x \| = 1\} \subseteq \mathbb{R}^{n+1} \end{align*}Date: nil
Created: 2024-10-11 Fr 22:23