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2 years ago
gh-35362: Implement infinite sums and products for lazy series <!-- Please provide a concise, informative and self-explanatory title. --> <!-- Don't put issue numbers in the title. Put it in the Description below. --> <!-- For example, instead of "Fixes #12345", use "Add a new method to multiply two integers" --> We allow lazy series to compute infinite sums `\sum_{i \in I} p_i` and products `\prod_{i \in I} (1 + p_i)` over arbitrary (enumerated) index sets `I` subject to a somewhat mild technical constraint that the order of each input `p_i` is weakly increasing wrt the iteration order and the preimage of each order is finite. ### :memo: Checklist <!-- Put an `x` in all the boxes that apply. It should be `[x]` not `[x ]`. --> - [x] The title is concise, informative, and self-explanatory. - [x] The description explains in detail what this PR is about. - [x] I have linked a relevant issue or discussion. - [x] I have created tests covering the changes. - [x] I have updated the documentation accordingly. ### :hourglass: Dependencies <!-- List all open PRs that this PR logically depends on - #12345: short description why this is a dependency - #34567: ... --> - #35265 <!-- If you're unsure about any of these, don't hesitate to ask. We're here to help! --> URL: https://github.com/sagemath/sage/pull/35362 Reported by: Travis Scrimshaw Reviewer(s): Martin Rubey, Travis Scrimshaw
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