“Cauchy–Riemann equations”的概念、定义、翻译、参考文献-科学参考

单词	Cauchy–Riemann equations
释义	Cauchy–Riemann equations Mathematics For a holomorphic function f(z) = u + iv of the complex variable z = x + iy the Cauchy-Riemann equations state $\frac{\partial u}{\partial x} = \frac{\partial v}{\partial y}, \frac{\partial u}{\partial y} = - \frac{\partial v}{\partial x} .$ If these partial derivatives are continuous and satisfy the Cauchy-Riemann equations, then conversely f(z) is holomorphic.
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