Theoremadvanced
Abel summation formula
Also called summation by parts, Abel's summation formula.
Writes sum a_k b_k as A(n)b(n) minus the sum of A(k)(b(k+1)-b(k)), where A is the prefix sum of a; the discrete integration-by-parts identity.
Writes sum a_k b_k as A(n)b(n) minus the sum of A(k)(b(k+1)-b(k)), where A is the prefix sum of a; the discrete integration-by-parts identity.
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The build computes these levels from the evidence in the repository. Each row says what the next level needs. Read what the levels mean.
| Ladder | Level | What the next level needs |
|---|---|---|
| Human proof | H0 no proof |
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| Lean | L0 no Lean part |
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| Visual | V0 none |
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| Writing | W0 stub |
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