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finite_sequence [2013/09/15 19:21] nikolaj |
finite_sequence [2013/09/16 21:36] nikolaj |
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==== Discussion ==== | ==== Discussion ==== | ||
- | == 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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- | * $f^{(\alpha)}(x) = \prod_i \frac{\partial^{\alpha_i}}{\partial x_i^{\alpha_i}} f(x)$ | ||
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=== Reference === | === Reference === | ||
==== Parents ==== | ==== Parents ==== |