Linked Questions

6 votes
2 answers
129 views

Getting around symbol favoritism of Simplify and FullSimplify [duplicate]

Simplify may or may not simplify depending on the symbols you use for its assumptions are good. For example, here is a case where ...
QuantumDot's user avatar
  • 19.5k
12 votes
0 answers
211 views

Why does this happen with FullSimplify? [duplicate]

It is stated at the Wolfram Documentation Center (FullSimplify/Possible Issues) that: Why and when this could happen? How to avoid it? Any patterns? Edit: As pointed out in the comments, this ...
Giovanni F.'s user avatar
  • 1,911
4 votes
1 answer
137 views

Simplify x+y=5 fails with assumption y = 2x, but works with x = 2y. Why? [duplicate]

I am trying to understand how assumptions and simplification works with this simple example: x+y=5, assume x = 2y So I write: ...
Luxspes's user avatar
  • 918
1 vote
0 answers
107 views

FullSimplify, Assumptions: Replacing Complex expressions by Simpler Ones as per Leaf Count [duplicate]

I have been trying to simplify equations using Mathematica of the following basic form: $$\text{FullSimplify}\left[x^2+y^2,\text{Assumptions}\to x^2+y^2==c^2\right]$$ With the output being, $$x^2+y^2$$...
Gattu Mytraya's user avatar
2 votes
0 answers
67 views

Change a single letter changes the result [duplicate]

these two codes give different result. FullSimplify[a-b,Assumptions->a==1+y&&b==1+y-x] this give x ...
AsukaMinato's user avatar
  • 8,920
2 votes
0 answers
56 views

Abs and ^2 within Solve: curious speed characteristics [duplicate]

I was playing around with the Solve function recently and found a behavior I couldn't explain. The equations I'm working with look like ...
nadlr's user avatar
  • 385
0 votes
0 answers
42 views

Mathematica can't simplify disguised expression [duplicate]

When I simplify the following quartic polynomial with a linear constraint; Simplify[x y z a + x y z b , a + b + c == 0] // Expand I get what to me seems like the ...
Jojo's user avatar
  • 1,278
63 votes
2 answers
15k views

What is the difference between a few simplification techniques?

I am trying to understand the difference between Refine, Simplify and FullSimplify, and when ...
Eli Lansey's user avatar
  • 7,439
33 votes
1 answer
2k views

A better simplification function

I am creating this question and posting an answer to it as a help for those who have problems with Mathematica simplification oddities that appear in other questions on the site. First of all, there ...
Giovanni F.'s user avatar
  • 1,911
16 votes
2 answers
3k views

Is there a way to to substitute for symbols, simplify, and back-substitute?

In papers in physics and mathematics one often encounters longer mathematical expressions which have to be, for intuition and typesetting, expressed using symbols standing for recurring patterns in ...
Void's user avatar
  • 405
40 votes
2 answers
2k views

Variable naming changes everything

Bug fixed in 10.0.0 I am having a rather unusual problem I do not understand with Mathematica where renaming one of the variables of my function causes the function to stop "working". Here is the ...
5xum's user avatar
  • 503
12 votes
2 answers
786 views

Surprises simplifying simple polynomials

I came across some somewhat surprising behavior of Simplify today, on something very simple. Let's take two cubic polynomials that we know have the same value: <...
Pillsy's user avatar
  • 18.3k
1 vote
1 answer
3k 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: ...
Yi Wang's user avatar
  • 7,317
8 votes
1 answer
2k views

Why doesn't FullSimplify get rid of the common factor in this expression?

FullSimplify does not get rid of the z factor in the following expression: ...
Joe's user avatar
  • 1,471
12 votes
1 answer
299 views

Unable to evaluate reasonable max expression

Consider the following statement: Max[0, Sqrt[1 - Cos[4 \[Theta]]]] You'll find that Mathematica won't evaluate this, because it doesn't know the range of $\...
Noon Silk's user avatar
  • 523

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