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Questions tagged [simplifying-expressions]

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

230 questions with no upvoted or accepted answers
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63 views

Real vs. complex series coefficients

I hope that this question is not a duplicate but I was unable to find it here (or somewhere else in the internet). For some reason, mathematica makes some expressions unnecessarily complicated. ...
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90 views

How to simplify an expression, subject to some gauge freedom

I can solve some PDE for $f$ in mathematica using Dsolve and produce an answer of the form $$f(x,y) \rightarrow C[1] g(x,y)$$ where the $C[1]$ term indicates some ...
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How to simplify the result of this integral

The solution of the following integral: Integrate[1/Sqrt[1 - Cos[x - x1]], {x, 0, Pi}, GenerateConditions -> False] is ...
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49 views

Equivalence between a simplified function and the original one

We have a complex function of Cosh[x] and Sinh[x] which became simplified by Mathematica. Moreover, at the last step, we ...
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83 views

Integrate$[\frac{\cos(x-y)\cos(5y)}{C+\cos(m-y)+B\cos(x-y)},y]$ results in massive, unusable expression. Can it be simplified?

I have to integrate a trigonometric expression that looks fairly straightforward, however, the expression I obtain after I evaluate the integral is massive and unusable. As the integrand is relatively ...
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124 views

How to simplify $x \coth(x) > 1$?

I have the inequality $x \coth(x) > 1$ which is correct for real arguments $x>0$. However, Mathematica does not seem to realize this: ...
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373 views

Simplifying solution of Solve function

I find the solution for the parameter I was searching for, by using this question. but the solution is so messy. I want to simplify it and used simplify. But I think there should be a way to simplify ...
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604 views

N::meprec Internal precision limit $MaxExtraPrecision = 50

I get an N::meprec error message when testing a fairly simple expression involving square roots ...
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106 views

Is there a limit to ReplaceAll rule list?

Basically I declared a simplify (small 's') function: simplify[expr_, assump_] := Simplify[ expr /. rulelist, assump]; This scans assump which is logically ...
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268 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. ...
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78 views

simplify and find equivalent from in mathematica

I have a very complicated polynomial expression ($R$) that I want to derive the necessary and sufficient condition for this expression to be positive. I wonder if Mathematica have simplification ...
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70 views

Simplify: Why does it miss this simple one?

I got a result with the expression ...
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91 views

How to solve a quadratic inequality containing parameters?

I have the following inequality to solve for $R$ in terms of $\delta$ and $n$, with assumption that $n \geq 3$ and $\delta>0$: $$-2 < 2 -\frac{16n\delta^{2}}{R^{2}\sin^{2}\frac{\pi}{n}} \left(...
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61 views

Handling Inequality with condition

I have verifying inequality using Mathematica using Simplify command For Example I want to check whether inequality a<f ...
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124 views

Force expression in certain form

Is there a function in Mathematica to force an expression to be transformed into a given form. For example f[x] is a function of ...
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78 views

Is this problem parametrically solvable or it can just be solved for specific $\sigma$ and $\theta$?

In order to solve This problem: What is the maximum value of coefficient fv with the constraint that the matrix is positive semi-definite?, I have used the following code (Determinant is computed by ...
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39 views

Quickly Solving a High-Order Root System of Equations of Arbitrary Form

I have the following system of equations that involve some rather complicated exponents: $$ \left\{\frac{\mathit{a} \sigma ^{41/34}}{\mathit{m}^{8/119} \mathcal{M}^{28/17}}=1,\frac{\mathit{b}\mathit{...
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42 views

Solve for parameters to minimize expression complexity?

I have a set of complicated expressions cf[i] with i=1,...,35 that apart from constants depend on parameters ...
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117 views

Simplifying sums of rational trigonometric functions

After simplifying the trigonometric functions as advised before (cf. Simplifying Expressions for FindMinimum), I obtained a sum of 62 similar expressions, the first three as in the below: ...
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844 views

Is there a function equivalent to rewrite function in Sympy

Sympy provide rewrite function to rewrite expression in terms of other functions. ...
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59 views

FullSimplify cascades too much/groups variables too eagerly

This is something FullSimplify will give: $$\frac{n (s+\text{s2})-\text{a1} g}{\text{a1} (g-\text{a2} s)+s (s+\text{s1}) (s+\text{s2})}$$ I could find better examples where FullSimplify cascades ...
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58 views

Extract the divergent/bounded part of a certain expression

Consider I have a power series which is function of $x$. A part of this expression is bounded when $x->\infty$, some remainder is on the other hand divergent when $x$ goes to infinity. What is the ...
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480 views

How to simplify cases given with Piecewise function?

MMA gives me an answer in the form $$ \begin{cases} f(k_1) & k_1=k\\ 0 & else \end{cases} $$ which is obviously just $f(k)$. Can I make MMA simplify this expression to $f(k)$? The ...
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622 views

Simplifying terms in a Sum expression

I have a sum in the form of pure function s = Sum[f[k], {k, 0, # - 1}] & of perhaps complicated terms f[k]. The terms <...
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548 views

Symbolic Tensor Algebra

I need to perform basic tensor algebra in order to double check some very complicated simplification. It's nothing fancy, it just has so many factors by the end that it's hard to tell if an error has ...
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171 views

Trying to Simplify an Expression

I'm trying to simplify an expression: ...
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99 views

How to control factor gathering in Simplify

To make my results more readable, I need to make MMA gather terms differently. In this example, Simplify gathers terms by common z[]: ...
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227 views

Gradient from Vectors type

I'm working with Vectors type in Mathematica 9. For this purpose I use the following command: ...
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58 views

Picking phase terms out of an exponential

I need to pick out certain terms from a sum of exponentials. For example, in the sum below: $a + b e^{i\,\Delta\,t} + c e^{ i( (\Delta + \Omega) t + \varphi_{0})} + \Delta e^{i\,\delta\,t + \varphi_{...
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2answers
189 views

How to use Replace using some factor from exponent in the replacement rule

Is it possible to directly factor out some exponent to some specific form and replace by some rule? For example I have exp1=x^4 I want to use replacement <...