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Finite sequence
Definition
| $X$ |
| $ A\in \text{FinSequence}(X) $ |
| $ n\in \mathbb N $ |
| $\exists n.\ A: \mathrm{range}(n)\to X$ |
Discussion
Multi-index notation
Let $\alpha \in \mathrm{FinSequence}(\mathbb N)$, then
- $|\alpha| = \sum_i \alpha_i $
- $x^\alpha = \prod_i x_i^{\alpha_i}$
- $f^{(\alpha)}(x) = \prod_i \frac{\partial^{\alpha_i}}{\partial x_i^{\alpha_i}} f(x)$
Reference
Parents
Context
