NotationsΒΆ
Notation |
Description |
|---|---|
\(\partial{X}\) |
boundary of \(X\) where \(X \subseteq \mathbb{R}^{2}\) |
\(N_{\varepsilon}(x)\) |
open \(\varepsilon\)-neighborhood of \(x\) where \(x \in \mathbb{R}^{2}\) |
\(N_{\varepsilon}(X)\) |
\(\bigcup_{x \in X} N_{\varepsilon}(x)\) where \(X \subseteq \mathbb{R}^{2}\) |
\(\sigma(\mathcal{X})\) |
index function defined as \(\sigma(\mathcal{X}) := n\) where \(\mathcal{X} = \{X_{1}, \cdots, X_{n}\}\) |
\(A(X)\) |
area of \(X\) where \(X \subseteq \mathbb{R}^{2}\) |
\(\overline{X}\) |
closure of \(X \subseteq \mathbb{R}^{2}\) |
\(X^{\circ}\) |
interior of \(X \subseteq \mathbb{R}^{2}\) |
\(X^{C}\) |
complement of \(X \subseteq \mathbb{R}^{2}\) |