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The art of manipulating an algebraic expression into the desired form.

3 votes
2 answers
223 views

Defining a differential operator that acts on a non-commutative basis

Given a non-commutative basis ${x_0,x_1,x_2}$ I'd like to define a differential operator that acts as so $$ \Delta_i (\sum_{n=0}^\infty c_n x_i^n) = \sum_{n=1}^\infty c_n x_i^{n-1}, \quad \Delta_i x_ …
Aran's user avatar
  • 203
1 vote
1 answer
60 views

Dealing with root powers of variable to some other power

In my code I keep coming across terms like this in the output $(w^3)^{\frac{1}{3}}$ that mathematica refuses to simplify. I have tried using a simplifying assumption such as $w\in\mathbb{R}$ or $\math …
Aran's user avatar
  • 203