Cauchy–Riemann equations

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What Wikipedia says

In mathematics, the Cauchy–Riemann equations are two partial differential equations that characterize differentiability of complex functions. The equations are

Excerpt from the Wikipedia article “Cauchy–Riemann equations”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: Cauchy-Riemann.png: Keenan Crane vector version: VectorVoyager, CC BY-SA 4.0, via Wikimedia Commons.