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 Mathematica HowTo
How to | Rearrange the Terms of a Polynomial
Mathematica provides many functions to group terms in a polynomial, extract and sort the monomials, display them in various ways, and even process them as arbitrary expression structures.
Define a polynomial in and exponentials of :
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Collect the powers of :
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Group terms that match the pattern; in this case terms that have the same exponential factors are grouped:
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Apply Simplify to the coefficient of each term after collecting the terms:
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There are many ways to extract terms from an expression. Here is a polynomial in :
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Get the coefficient of (the constant term):
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Get the same term by replacing with zero, thus eliminating all terms that depend on :
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Get the list of the monomials ordered from high to low powers of :
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The polynomial will appear in the same order when displayed in TraditionalForm: