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Simplifying simple signed expression ( such as $-x(x-1) \to x(1-x)$ ) based on assumptions

Context I would like to simplify expression involving, say, (x-1) or (x^2-1) when I know that |x|<1 so that the global ...
78 views

How do I separate 2 variables to be independent from each other in the equation?

I have an equation namely ...
122 views

How do I define the distributive property for my operator?

I would like Simplify and Expand to work so that a^(b+c) <-> a^b + a^c I am ...
130 views

KroneckerDelta does not automatically simplify

R[a_, b_] := FullSimplify[ KroneckerDelta[a, b] KroneckerDelta[a, b]] R[a, b] (* KroneckerDelta[a, b]^2 *) Should the the full simplified answer not be just ...
250 views

Manipulations with complex numbers, phasors

I am trying to implement phasor arithmetic, but cannot get it to work well. The key is that the arguments to the phasor function are Reals, but I cannot get Mathematica to deal with that efficiently. ...
My goal is to algebraically simplify expressions involving tensor products and taking the trace. That is, I would like to compute $\operatorname{Tr}\left( \prod_i(id+a_i \otimes b_i) \right)$, using ...