residue theorem

Summary

residue theorem is a theorem^[1]. It ranks in the top 3% of theorem entities by monthly Wikipedia readership (825 views/month).^[2]

Key Facts

• residue theorem's instance of is recorded as theorem^[3].
• Augustin-Louis Cauchy is named after residue theorem^[4].
• residue theorem's part of is recorded as list of theorems^[5].
• residue theorem's Freebase ID is recorded as /m/0jq7m^[6].
• residue theorem's defining formula is recorded as \frac{1}{2 \pi \mathrm{i}} \int_{\mathsf{C}} f(z) \, \mathrm{d}z = \sum_{a \in A} \operatorname{Res}(f, a)^[7].
• residue theorem's studied by is recorded as complex analysis^[8].
• residue theorem's MathWorld ID is recorded as ResidueTheorem^[9].
• residue theorem's maintained by WikiProject is recorded as WikiProject Mathematics^[10].
• residue theorem's Microsoft Academic ID is recorded as 88246228^[11].
• residue theorem's ProofWiki ID is recorded as Cauchy's_Residue_Theorem^[12].
• residue theorem's in defining formula is recorded as \int_{\mathsf{C}} f(z) \, \mathrm{d}z^[13].
• residue theorem's in defining formula is recorded as \mathsf{C}^[14].
• residue theorem's in defining formula is recorded as \operatorname{Res}(f, a)^[15].
• residue theorem's in defining formula is recorded as A^[16].
• residue theorem's OpenAlex ID is recorded as C88246228^[17].
• residue theorem's Digital Library of Mathematical Functions ID is recorded as 1.10.E8^[18].

Why It Matters

residue theorem ranks in the top 3% of theorem entities by monthly Wikipedia readership (825 views/month).^[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.^[19] It is known by 17 alternative names across languages and contexts.^[20]