summation by parts
theorem to simplify sums of products of sequences
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summation by parts
Summary
summation by parts is a theorem[1]. It draws 103 Wikipedia views per month (theorem category, ranking #195 of 1,306).[2]
Key Facts
- summation by parts's instance of is recorded as theorem[3].
- Niels Henrik Abel is named after summation by parts[4].
- summation by parts's Freebase ID is recorded as /m/01kmf4[5].
- summation by parts's defining formula is recorded as \sum_{k=m}^n f_k(g_{k+1}-g_k) = \left[f_{n+1}g_{n+1} - f_m g_m\right] - \sum_{k=m}^n g_{k+1}(f_{k+1}- f_k)[6].
- summation by parts's studied by is recorded as mathematical analysis[7].
- summation by parts's MathWorld ID is recorded as SummationbyParts[8].
- summation by parts's MathWorld ID is recorded as AbelsLemma[9].
- summation by parts's maintained by WikiProject is recorded as WikiProject Mathematics[10].
- summation by parts's Microsoft Academic ID is recorded as 13626590[11].
- summation by parts's ProofWiki ID is recorded as Abel's_Lemma[12].
- summation by parts's OpenAlex ID is recorded as C13626590[13].
Why It Matters
summation by parts draws 103 Wikipedia views per month (theorem category, ranking #195 of 1,306).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[14] It is known by 15 alternative names across languages and contexts.[15]