Streamline Symbolic Derivatives with MATLAB's Simplify Operation

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  • Thread starter ergospherical
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In summary, the conversation is about using MATLAB for symbolic derivatives and the potential for simplifying long outputs. The "simplify" operation in MATLAB is not very effective, but Mathematica is better for symbolic computation.
  • #1
ergospherical
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I am using MATLAB to compute a few symbolic derivatives. The outputs are correct (I've checked a few of them) but usually long and never simplified (even when "obvious" simplifications are possible, i.e. combining terms, cancelling things). Is there a way to get MATLAB to simplify symbolic expressions?

I found the "simplify" operation - doesn't seem to do much...
 
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  • #4
jedishrfu said:
How about mathematica?
Actually works a lot better - might switch to this instead. Cheers!
 
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  • #5
Mathematica is better if you need symbolic computation. MATLAB is more for numerical computation.
 
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1. What is the "Simplify" operation in MATLAB?

The "Simplify" operation in MATLAB is a built-in function that simplifies mathematical expressions. It is particularly useful for streamlining symbolic derivatives, where it can combine and simplify terms, factor polynomials, and perform other operations to simplify the resulting expression.

2. How does the "Simplify" operation work in MATLAB?

The "Simplify" operation in MATLAB works by using a combination of algorithms and heuristics to simplify a given expression. It first identifies the structure of the expression and then applies various rules and transformations to simplify it. It also uses user-defined assumptions and simplification options to guide the simplification process.

3. What are the benefits of using the "Simplify" operation in MATLAB for streamlining symbolic derivatives?

Using the "Simplify" operation in MATLAB for streamlining symbolic derivatives can greatly reduce the complexity of the resulting expression. This can make it easier to understand and work with, and can also improve the performance of subsequent calculations. Additionally, the "Simplify" operation can help identify and eliminate potential errors or inconsistencies in the derivative expression.

4. Are there any limitations to using the "Simplify" operation in MATLAB for symbolic derivatives?

While the "Simplify" operation in MATLAB is a powerful tool for streamlining symbolic derivatives, it does have some limitations. It may not be able to simplify certain expressions that are very complex or have unusual structures. It also relies on assumptions and simplification options, which can sometimes lead to unexpected results. It is important to carefully review the output of the "Simplify" operation to ensure that it accurately reflects the desired simplification.

5. Can the "Simplify" operation in MATLAB be used for other mathematical operations?

Yes, the "Simplify" operation in MATLAB can be used for other mathematical operations besides symbolic derivatives. It can be applied to any mathematical expression or equation, and can help simplify and streamline calculations in a variety of contexts. It is particularly useful for simplifying complex expressions or equations involving multiple variables or functions.

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