26 Notations
Differential geometry is the study of things invariant under change of notation.
| Notation | Description | Source |
| $\mathcal{H}(E;F)$, $\mathcal{R}(E;F)$ | Space of derivatives; space of remainders in an $\mathcal{HR}$-system. | Definition 25.1.1 |
| $D_{\mathcal{HR}}f(x_{0})$ | $\mathcal{HR}$-derivative of $f$ at $x_{0}$. | Definition 25.1.2 |
| $\mathcal{R}_{\sigma}^{n}(E; F)$, $\mathcal{R}_{\sigma}(E;F)$ | $\sigma$-small functions of order $n$; order 1. | Definition 25.2.1 |
| $D_{\sigma} f(x_{0})$ | $\sigma$-derivative of $f$ at $x_{0}$. | Definition 25.2.3 |
| $D_{\sigma}^{n} f$ | $n$-fold $\sigma$-derivative. | Definition 25.4.1 |
| $x^{(k)}$ | Tuple of $x$ repeated $k$ times. | Proposition 25.4.4 |
| $D^{+}f(x)$ | Right derivative of $f$ at $x$. | Definition 25.3.1 |