# Tagged Questions

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

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### Simplifying symbolic multiple sums

suppose I have a multiple sum with an unspecified number of indexes: $$\sum_{i_1=1}^n \ldots \sum_{i_k=1}^n x_{i_1}\otimes\ldots\otimes \hat{x_{i_j}}\otimes\ldots\otimes x_{i_k}$$ with $x_{i_j}$ ...
246 views

### ArcTan[x,y] problems

I need an ArcTan[x,y] function that is continuous in (0,2 π) For the standard ArcTan function: ...
209 views

### Assumptions with patterns

I want that Mathematica assumes every symbol like Subscript[s,i] to be evaluate as a real and positive number. I have tried ...
73 views

### Why won't equal trig expressions simplify to the same form? [closed]

Trying to get Mathematica to do trig always stresses the hell out of me ... Why. won't. it. do. things?!? Why does ...
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### Simplify the imaginary part [duplicate]

Friends, I want to evaluate this expression Simplify[Im[(20 + 140 I)*Lg + (7 + 140 I)*Ls], {Ls > 0, Lg > 0}] The output I get is ...
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### Strange “Collect[…]” behaviour

I have a large expression which I need to simplify by pulling out a load of constant terms. Collecting terms seems to only work when the expression is expanded out, e.g. ...
110 views

### FullSimplify Produces Result that Includes Hold

Bug fixed in 10.2.0 In the course of developing a solution to Question 79183, I solved the equation ...
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### Simplify with assumption of unknown function [duplicate]

I have an unknown multivariate function entry[x,y,z], which is positive. Then how to get FALSE and entry[1,2,3] in the following evaluations? ...
207 views

### How to manage list of list of rules?

Considering we have a list: str = "{1 -> {a -> aa, b -> bb}, 2 -> {2a -> \"{b -> bb}\"}}" Bringing this to expression gives: ...
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### How to show all terms of a (very) large expression which was cut by skeleton << >>?

I obtained a very large expression but I noticed that Mathematica omitted some terms and wrote <<1>> or <<8>> instead. I would like to see all terms in order to write rules that simplify ...
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### Different results from Simplify and Reduce given inequality (x/y^2 != 0 && x != 0)

In: Simplify[x/y^2 != 0 && x != 0] Out: x != 0 && y != 0 However, if we use ...
131 views

### How to convert string to integer list?

Saying we have a string: "1 2 3 4 5 6" I want to convert this to integer list. First I do: ...
145 views

### How to delete a pattern from String?

Having a string like : "{Aaaa -> a, Bbbb- > b, Cccc -> , Ddddd -> c, Eeeee -> , Fffff -> e}" I want to delete the parts that contain ...
132 views

### Strange evaluation of an sum involving binomial coefficients

I stumbled upon this problem while playing with Mathematica 10. Can anyone help me explain the following behaviour? I define a sum ...
34 views

### How to simplify this expression without this particular substitution?

I have the expression expr = -(m-2 r+b^2 (-7 m+6 r)) ((-m+r)^2+b^4 (-2 m+3 r)^2+b^2 (-3 m^2+10 m r-6 r^2))+(1+b^2)^2 m^3 Cos[t]^2 , to which I can bring to this ...
192 views

### Simplify a composition of functions

How do I make Mathematica simplify, for example, (1-#&)@*(1-#&) into #&? ...
48 views

### How to manipulate string parts?

Let's consider I have following string: "{a-> POR, b-> D610, c-> 0, d-> \"300/7\", e -> \"1/400\"}" How can I run over and update anything that is ...
186 views

### How to parse string to expression? [closed]

When trying to make a string an expression I see some wrong results: ...
103 views

### Simplified expression is different than original

I have a question regarding the Simplify command in mathematica. I am working with a 4 x 4 table called Eqs, filled with symbolic expressions. I then do ...
299 views

### Another square-root simplification problem

In a certain sequence of computations, sometimes I'll get an expression of a form such as Sqrt[u^4 + 4 u^6] which it is necessary to have converted ...
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### How do I simplify Interval[{x,x}] to x? [duplicate]

How do I simplify Interval[{x,x}] to x ? Simplify and ...
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### How to simplify D[(1/2).m.(X[t]^2), {X[t]}] [closed]

I would like to simplify the following expression: D[(1/2).m.(X[t]^2), {X[t]}]// Rationalize // FullSimplify // TraditionalForm This should evaluates to: ...
159 views

### Simplifying complicated fractions

I need to simplify a long expression with a denominator in the form of a+b. To keep it simple, let me replace the long expression with a short example: ...
68 views

### Is it possible to reach this expression using Mathematica's algebraic functions?

I know that this expression: -(m-2 r+b^2 (-7 m+6 r)) ((-m+r)^2+b^4 (-2 m+3 r)^2+b^2 (-3 m^2+10 m r-6 r^2))+(1+b^2)^2 m^3 Cos[t]^2 Is equal to this one: ...
56 views

### Simplify CubeRoot of meter cubes

Why Mathematica doesn't simplify CubeRoot of meter cubes to meters? r = Quantity[10, "Meters"]; v = 4/3 r^3 Pi; CubeRoot[% * 3/4 / Pi] returns ...
96 views

### Abs[Sin[4a]] not equal to 2Sin[2a]Abs[Cos[2a]] for a in [0,\pi/2]

I have a long expression which is not fully simplified because Abs[Sin[4a]] is considered different from 2Sin[2a]Abs[Cos[2a]] ...
65 views

### Simplify complex answer given by DSolve[]

I tried the technique in this question, but that did not work for the solution given by the MWE: DSolve[{f'[t] + f[t]*g[t] == h[t], f[0] == f0}, {f[t]}, t] How ...