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foundational_temp_formal_power_series [2016/04/07 17:29] nikolaj |
foundational_temp_formal_power_series [2016/09/23 14:49] nikolaj |
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| ===== Foundational temp formal power series ===== | ===== Foundational temp formal power series ===== | ||
| - | | [[Foundational temp4 ]] $\succ$ $\succ$ [[]] | | + | | [[Foundational temp4 ]] $\succ$ Foundational temp formal power series $\succ$ [[]] | |
| ==== Guide ==== | ==== Guide ==== | ||
| >**formal power series** | >**formal power series** | ||
| Line 7: | Line 7: | ||
| >Q: how far back can analysis be pushed? | >Q: how far back can analysis be pushed? | ||
| + | |||
| + | >>note that all formal power series are differentiable | ||
| Idea: Abstract theory of sequences $(a_n)_n,(b_n)_n\in X^{\mathbb N}$ with main objects of interests being | Idea: Abstract theory of sequences $(a_n)_n,(b_n)_n\in X^{\mathbb N}$ with main objects of interests being | ||
| Line 23: | Line 25: | ||
| $B(a,b):=\sum_{n=0}^\infty\sum_{m=0}^\infty B_k^{n,m}\cdot a_n \cdot b_m$ | $B(a,b):=\sum_{n=0}^\infty\sum_{m=0}^\infty B_k^{n,m}\cdot a_n \cdot b_m$ | ||
| - | ==== Parents ==== | + | ----- |
| === Sequel of === | === Sequel of === | ||
| [[Foundational temp4]] | [[Foundational temp4]] | ||
| === Related === | === Related === | ||
| [[Foundational temp4]] | [[Foundational temp4]] | ||
