# Questions tagged [simplifying-expressions]

Questions on manipulating complicated expressions and making them look simpler using Simplify, FullSimplify and Reduce.

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### Simplifying terms by substitution and/or elimination [closed]

I would like to simplify the output of a calculation. For example, in the output image below, y^3 and y^(5/2) can be simplified ...
49 views

### Is there a global parameter that limits the number of variables handled by Simplify?

It seems that Simplify is unable to handle (at least some) expressions involving 22 or more variables. Consider the code snippet below: ...
72 views

### What is the first slot value in this expression?

I would like to know what is the first slot value in the following expression ...
104 views

### Simplifying integer inequalities to equality

I try (in Mathematica 10) FullSimplify[l >= l1 + l2, {l <= l1 + l2, Element[l | l1 | l2, Integers]}] But that gives back ...
126 views

### Simplify is not simplifying a compound inequality as expected

The Simplify command is having trouble verifying a compound inequality, even while it correctly handles the two corresponding single inequalities. I'm starting ...
357 views

### An example from a Mathematica tutorial on integration returns a different answer from the tutorial

This page on "Integrals that Can and Cannot Be Done" suggests that, almost surprisingly, Mathematica can express the following integral in terms of elementary functions: ...
708 views

### Correct way of simplifying the result of an integral

Many times Mathematica gives enormous results to simple problems. One uses the program more for trouble than for not knowing how to solve the problem. As an ejemplo I present this integral that ...
33 views

### What options should I feed to FullSimplify to make it strongly prefer elementary functions?

I want that FullSimplify strongly preferred all elementary functions as opposed to all non-elementary. Can I do it?
40 views

### details of the simplifying process

I have a complicated expression: ...
50 views

### How to Reduce conditions of Piecewise function

Edit I had problems with pasting an example to stackoverflow itself so here is the link to PasteBin containing sample code: https://pastebin.com/yi6AyrHy I have fairly big piecewise function which I'...
62 views

### Find all pattern in expression

Consider this problem: I have a functional $\mathcal{F}$ acting on some function $n(t)$ such that $$\mathcal{F}[n(t)]=0$$ $$\mathcal{F}[n^*(s)n(t)]=\alpha(t,s)$$ $$\mathcal{F}[n(s)n(t)]=0$$ ...
277 views

### Rationalizing a numerator

My goal was to remove the radical from the numerator of the function: $$f(x)=\frac{\sqrt{x^2+9}-3}{x^2}$$ I first entered my function. ...
54 views

### how to get rid of the denominator in the squareroot, that appears in the denominator?

Here is an example: $\frac{\nu y_0}{\left(x_0+\frac{1}{2}\right) \sqrt{\nu ^2+\frac{\left(4 x_0^2+4 y_0^2-1\right){}^2}{16 y_0^2}}}$ ...
326 views

### Collect distributed sums

I have another task that somehow should be trivial. Suppose I have the following expression $$\sum_{i=1}^n \frac{2}{9} x_i + 2 \sum_{i=1}^n \frac{1}{9} x_i,$$ or in Mathematica-FullForm ...
306 views

### How to simplify -a*z+a*z to 0 where “a” is an expression

Consider the following: a = 1+(x+y+z+u)^10000 (* Out[57]= 1+(u+x+y+z)^10000 *) e = -a*z+a*z (* Out[59]= z (-1-(u+x+y+z)^10000)+z (1+(u+x+y+z)^10000) *) How can ...
8k views

### What is the proper way to verify that two expressions are equivalent?

First of all, it appears to me that $$\left|\frac{1}{x} + x^2\right| = \frac{|1 + x^3|}{|x|}$$ is true. I don't know why, but my attempt to verify it in Mathematica failed. ...
59 views

### Simplify Integrate results

I wish to simplify the overlap of two gaussian-type orbitals, primGauOrb = ((2 α)/π)^(3/4)E^(-α (x^2 + y^2 + z^2)); And then integrate it, ...
102 views

### Simplifying the expression by defining functions

I want to simplify the function below by using FullSimplify: ...
201 views

### How to re-express solution to system of equations after truncating the solution at a given order to give an exact answer

I have a simple enough system of two equations that need to be inverted: ...
I'm very new to Mathematica. I searched through the online documentation, but I don't understand why it realizes that $\sin(n\pi)$ for $n\in \mathbb{Z}$ is $0$: ...