Morera's theorem
theorem that a continuous complex‐valued function on an open set in the complex plane whose contour integral on any closed piecewise‐𝒞¹ curve vanishes must be holomorphic
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Morera's theorem
Summary
Morera's theorem is a theorem[1]. It draws 111 Wikipedia views per month (theorem category, ranking #206 of 1,306).[2]
Key Facts
- Morera's theorem is credited with the discovery of Giacinto Morera[3].
- Morera's theorem's instance of is recorded as theorem[4].
- Giacinto Morera is named after Morera's theorem[5].
- Morera's theorem's part of is recorded as list of theorems[6].
- Morera's theorem's Freebase ID is recorded as /m/024kkj[7].
- Morera's theorem's defining formula is recorded as \left(\forall\gamma\in\mathcal C^1_\text{pw}(\mathbb S^1,U)\colon\oint_\gamma f\,\mathrm dz=0\right)\implies\bar\partial f=0[8].
- Morera's theorem's studied by is recorded as complex analysis[9].
- Morera's theorem's MathWorld ID is recorded as MorerasTheorem[10].
- Morera's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[11].
- Morera's theorem's Microsoft Academic ID is recorded as 73007548[12].
- Morera's theorem's in defining formula is recorded as U[13].
- Morera's theorem's in defining formula is recorded as \oint[14].
- Morera's theorem's Encyclopedia of Mathematics article ID is recorded as Morera_theorem[15].
Body
Works and Contributions
Morera's theorem is credited with the discovery of Giacinto Morera[3].
Why It Matters
Morera's theorem draws 111 Wikipedia views per month (theorem category, ranking #206 of 1,306).[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[16]