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finite_sequence [2013/09/16 21:36] nikolaj |
finite_sequence [2013/09/16 21:36] nikolaj |
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| ==== Discussion ==== | ==== Discussion ==== | ||
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| - | == Multi-index notation == | ||
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| - | Let $\alpha \in \mathrm{FinSequence}(\mathbb N)$, then | ||
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| - | * $|\alpha| = \sum_i \alpha_i $ | ||
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| - | * $x^\alpha = \prod_i x_i^{\alpha_i}$ | ||
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| - | * $f^{(\alpha)}(x) = \prod_i \frac{\partial^{\alpha_i}}{\partial x_i^{\alpha_i}} f(x)$ | ||
| === Reference === | === Reference === | ||
| ==== Parents ==== | ==== Parents ==== | ||
