论文标题

构图积分:简要介绍

The Compositional Integral: A Brief Introduction

论文作者

Nixon, James David

论文摘要

组成积分定义,正式构造和讨论。直接概括Riemann的积分构建;它旨在作为查看一阶微分方程的另一种方式。此简短通知的目的是:以不同的集成方法熟悉读者,为修改后的积分制作符号,并表达出令人震惊的无限嵌套组合物用途。从Euler的方法中汲取灵感来近似一阶微分方程,我们将方法与Riemann Sums相关。并从不同的现代角度看它。

The Compositional Integral is defined, formally constructed, and discussed. A direct generalization of Riemann's construction of the integral; it is intended as an alternative way of looking at First Order Differential Equations. This brief notice aims to: familiarize the reader with a different approach to integration, fabricate a notation for a modified integral, and express a startling use for infinitely nested compositions. Taking inspiration from Euler's Method for approximating First Order Differential Equations, we affiliate the method with Riemann Sums; and look at it from a different, modern angle.

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