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What are the commonly used toolboxes (mathematical experiments, mathematical models) when installing matlab?
The core part of MATLAB, without him, there would be no MATLAB environment.

Symbolic mathematics; The most commonly used general toolkit components (symbolic data manipulation and calculation)

Simulink realizes modeling and simulation through block diagram without programming; A nonlinear dynamic system is mainly used to study the description of differential and difference equations.

Optimization; Including optimization programs such as finding function zero, pole and programming.

Control system; There are more than ten control toolboxes in MATLAB, which is necessary and the most basic.

Spline; Inherent Spline and Interpolation Function

Statistics; Contains procedures required for complex statistical analysis.

Stateflow is used in conjunction with Simulink, which is mainly used for modeling, analysis and simulation of large-scale complex (discrete event) dynamic systems.

That's all I know. After installation, I feel that it can be loaded without it.