# simplifying-expressions's questions - English 1answer

1.217 simplifying-expressions questions.

### 1 Making fractions cancel

I have an equation that Mathematica really wants to display as $$\frac{1}{4\pi G} \bigg( 4\pi G A + 4\pi G B\bigg)$$ where $A$ and $B$ are some terms and $G$ a constant. No amount of ...

### Reducing expression to simplest form involving variables in radicals

In my notebook, I obtain an expression that I can't figure out how to reduce to it's simplest form. I've recreated it below to show what I am trying to simplify. ...

### Problem with Assuming [duplicate]

1 answers, 74 views simplifying-expressions assumptions
I have some involved complex expressions, relying upon constants and the variables t, C[i],$i=1,2,3$. Using Refine, I try to ...

### 5 FullSimplify and Min/Max

I was coding up some bounds propagation in some constraint satisfaction code I was playing with and decided to see if Mathematica could simplify an expression involving Min and Max. I extracted the ...

### 6 Relabeling of dummy variables

2 answers, 221 views simplifying-expressions summation
I have the following expressionF[p1, p2] a[p1] ** b[p2] - F[p1, p2] a[p2] ** b[p1]where ** is the non-commutative ...

### 12 Rearrange an algebraic expression so that each variable appears only once

Mathematica gave me a solution to an equation in this form:ans1 = (b c)/(a - a c + b c)$\text{ans1} = \frac{b c}{a - a c + b c}$ From solving the same equation ...

### 4 Apparently simple simplification fails?

Consider the expressionexpr = E^x Sqrt[1 - E^(-4 x)] - Sqrt[-E^(-2 x) + E^(2 x)]At least for x>0 I would expect this to ...

### Remove a term which includes a defined variable from an equation

Is it possible to remove a term which includes a defined variable from an equation? my equation is something like: ...

### 1 Function not evaluating to zero - numerical errors

I have a complex but analytical expression that should always evaluate to zero for certain values, but I'm getting strange numerical noise I think I can avoid. The problem seems to occur in a ...

### hermitian matrix-vector product does not give real result

Background : If $H$ is a Hermitian matrix, then for any complex vector $\psi$ it holds that $\psi^* \cdot H\cdot \psi$ gives a real number. The problem I am creating a 16x16 Hermitian matrix in ...

### 2 Find RSolve solution reflecting special structure of DifferenceRoot[Function[{\[FormalY], \[FormalN]}

RSolve yields a large (multi-page) solution (LeafCount=25891) containing a number of 7F6 (and higher) hypergeometric functions when applied to ...

### Simplify not working, or ignoring assumption?

1 answers, 48 views simplifying-expressions assumptions
I'm trying to take a (-1) from a power to 3/2 as this:Simplify[(-(a))^(3/2) - ((-1)^(3/2) (a)^(3/2)), a > 0]I get as a result as expected 0. But when I try ...

### Collect terms with same-kind coefficients and factor exponential based on that

In the following expression, how can I group apart the terms in the exponential with a and b coefficients so that I can express ...