论文标题
组成积分：狭窄和复杂的镜头
The Compositional Integral: The Narrow And The Complex Looking-Glass
论文作者
论文摘要
本文的目的是使复杂平面中组成积分的概念形式化。我们证明了保证其存在的融合定理。我们证明了凯奇（Cauchy）整体定理的类似物，并提出了一种恢复库奇（Cauchy）整体公式的方法。这样，我们得出了凯奇残留定理的修改形式。然后，我们开发了泰勒系列的组成类似物。在最终性中，我们描述了一个构图傅立叶变换。并说明了它的一些基本属性。
The goal of this paper is to formalize the notion of The Compositional Integral in The Complex Plane. We prove a convergence theorem guaranteeing its existence. We prove an analogue of Cauchy's Integral Theorem--and suggest an approach at recovering Cauchy's Integral Formula. With this we derive a modified form of Cauchy's Residue Theorem. Then, we develop a compositional analogue of Taylor Series. In finality, we describe a compositional Fourier Transform; and illustrate some basic properties of it.
