What are the differences between CAS and numerical computation?
CAS, or Computer Algebra Systems, manipulate mathematical expressions symbolically, while numerical computation focuses on approximate solutions.
Can you give me examples of each?
Sure! An example of CAS is Mathematica, which can solve equations symbolically. Numerical computation examples include MATLAB and Python's NumPy.
When should I use CAS over numerical methods?
Use CAS when you need exact solutions or symbolic manipulation. Numerical methods are better for complex problems where approximations are acceptable.
Are there any limitations to using CAS?
Yes, CAS can struggle with very complex expressions or when numerical stability is crucial, where numerical methods excel.
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