adj.正则的；全纯的

The function f(z) = z^2 + 1 is holomorphic everywhere in the complex plane.
函数f(z)=z²+1在整个复平面上都是全纯的。
The Cauchy-Riemann equations are satisfied by the real and imaginary parts of a holomorphic function.
全纯函数的实部和虚部分别满足柯西-黎曼方程。
Holomorphic functions have many remarkable properties, including being infinitely differentiable.
全纯函数具有许多惊人的性质，包括无限可微。
The integral of a holomorphic function over a closed curve is zero, according to Cauchy's integral theorem.
根据柯西积分定理，闭曲线上的全纯函数的积分值为零。
In complex analysis, a holomorphic function is one that is complex-differentiable in an open set.
在复分析中，全纯函数是在一个开集上复可导的函数。
The function g(z) = ln(z) is not holomorphic at z=0 because it is not defined there.
函数g(z)=ln(z)在z=0处不是全纯的，因为它在那里没有定义。
A conformal mapping is a holomorphic function that preserves angles locally.
保角映射是局部保持角度的全纯函数。
The Riemann mapping theorem states that any simply connected open subset of the complex plane, other than the plane itself, can be mapped biholomorphically to the unit disk.
黎曼映射定理指出，除了整个复平面之外，任何单连通的开放子集都可以被双全纯映射到单位圆盘。
The zeros of a holomorphic function are isolated unless the function is identically zero.
全纯函数的零点是孤立的，除非该函数恒等于零。
The study of holomorphic functions often involves the use of power series, which can represent such functions in a neighborhood of each point in their domain.
研究全纯函数通常涉及幂级数的应用，这些级数可以在它们的定义域内的每个点附近表示这样的函数。