计算机辅助草图对象建模的原理与实践

Shi Yong-qiang, Hu Wei-hua, Xu Ming, Wu Peng, Zhou Qi-li
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引用次数: 0

摘要

建模是一个过程、设备或概念的数学表示,通过定义一些变量来表示设备或过程的输入、输出和内部状态,以及一组描述这些变量之间相互作用的方程和不等式。它是一种将物理现象形象化的方法,用数学方程来描述它在一定时期内的行为。模型基本上是一个方程,模型由简单的多项式方程组成,但大多数现实世界的模型由一种叫做微分方程的东西组成,微分方程描述了模型中某个量的变化率。一种实用的“边做边学”的方法促进了建立和操作数学模型所需的纯数学之外的技能的发展。
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Principles and Practice of Computer-Assisted Draft Object Modelling
Modeling is mathematical representation of a process, device, or concept by means of a number of variables that are defined to represent the inputs, outputs, and internal states of the device or process, and a set of equations and inequalities describing the interaction of these variables. It is a way to visualize a physical phenomenon using mathematical equations to describe its behavior during a certain period of time. So a model is basically an equation The model consists of simple polynomial equations but most of the real-world model consist of something called differential equations, which describe the "rate" of change of a certain quantity in the model. A practical "learn by doing" approach fosters the development of the skills beyond pure mathematics needed to set up and manipulate mathematical models.
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