MATLAB 中的符号计算
Symbolic Math Toolbox™ 使您能够通过定义“符号对象”这种特殊的数据类型来通过 MATLAB® 命令行执行符号计算。函数是使用熟悉的 MATLAB 语法进行调用的，并且可用于积分、微分、简化、方程求解和其他数学任务。符号计算增强了 MATLAB 的数值功能。您可以将符号结果转换为数值结果并在 Symbolic Math Toolbox 之外使用这些结果。
类别
- 符号变量、表达式、函数和设置
创建符号变量、表达式、函数，以及更改设置
- 运算符和初等运算
对符号对象执行算术、关系和逻辑运算
- 符号与数值之间的转换
将符号数据转换为数值、将数值转换为符号对象
- 计量单位
使用物理单位、转换单位、检查单位一致性和兼容性
精选示例
The Physics of the Damped Harmonic Oscillator
Explores the physics of the damped harmonic oscillator by solving the equations of motion in the case of no driving forces. This example investigates the cases of under-, over-, and critical-damping.
Simulate the Motion of the Periodic Swing of a Pendulum
Solve the equation of motion of a simple pendulum analytically for small angles and numerically for any angle.
Evaluate Average Power Delivered by Wind Turbine
Compute the average power output of a wind turbine using Symbolic Math Toolbox™ and Statistics and Machine Learning Toolbox™. In this example, you define a parametric analytical expression that models the conversion of wind energy to turbine power. Then you evaluate the average power output by assuming that the wind speed follows a Weibull distribution.
Developing an Algorithm for Undistorting an Image
Develops a mathematical model using the Symbolic Math Toolbox™ to undistort an image and features a local function in the live script.
Electric Dipole Moment and Radiation Power
Finds the average radiation power of two attracting charges moving in an elliptical orbit (an electric dipole).
Validate Simulink Model Using Symbolic Math Toolbox
Model a bouncing ball, which is a classical hybrid dynamic system. This model includes both continuous dynamics and discrete transitions. It uses the Symbolic Math Toolbox™ to help explain some of the theory behind ODE solving in the 弹球的仿真 (Simulink).
Using Symbolic Mathematics with Optimization Toolbox Solvers
Use the Symbolic Math Toolbox functions jacobian and matlabFunction
to provide analytical derivatives to optimization solvers.
Analytical Model of Cantilever Truss Structure for Simscape
Find parameterized analytical expressions for the displacement of a joint of a cantilever truss structure in both the static and frequency domains.
