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Questions tagged [simplifying-expressions]

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

231 questions with no upvoted or accepted answers
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FindRoot for a transcendental function (PolyLog)

I am trying to solve an equation involving polylog using FindRoot, I am not sure how to give the initial guess as I want to solve the equation for a variety of parameters. Here is my code: ...
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30 views

Too many intermediate equations

I try to explain what skew lines are, and how to present them, little by little, calculate different intermediate values, this code works, but it is a frankenstein code, even with comments it's hard ...
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49 views

Transcendental equation analytical solving

I want to solve a transcendental equation analytically, the equation basically is ...
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38 views

Calculate a definite integral containing an ExpIntegral

I need to calculate the following integral Integrate[Exp[-(y/bn)] (-y)^c ExpIntegralE[d, p y], {y, 0, z/x}] Where $z<0,z\in \mathbb{R}$, $x\in\mathbb{R},x>...
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Very simple algebraic FullSimplify/Simplify problem(s), without even assumptions

I did some digging about FullSimplify but did not find something concrete about my problems and I think they are too elementary to pass. EXAMPLES START 1)This example is not problematic but I will ...
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45 views

Copying very long expression to LaTeX

I have a long expression (even after using Simplify) which I am trying to copy to LaTeX using the "Copy to LaTeX" command. However, it is too messy for LaTeX to ...
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33 views

Implicit assumption in simplifying an equation

So I tried simplify on an equation (see below). ( Laplacian[V[r,\[Theta],\[Phi]],{r,\[Theta],\[Phi]},"Spherical" ] //Simplify) % == 0 %//Simplify Now the weird ...
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35 views

Evaluating Fourier coefficients when Exponential terms are present

I am trying an analytical solution for a 3D Laplace equaition, and just wanted to know if I could use the symbolic calculation capabilities of Mathematica to calculate the Fourier coefficients ...
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23 views

Manipulating expressions containing complex exponentials and double integrals

Given that I have Integrate[Integrate[Exp[I w (x-u+v)]f[u, v] , u], v] $\int\left( \int e^{iw(x-u+v)} f[u, v] du\right) dv$ First, I want to first extract ...
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33 views

How to simplify my integrand to make the function Integrate[] work?

To calculate a physical field, I need to integrate a complicated expression, with Sin and Cos and some 3/2 power. But when I run the Integrate function, it seems running forever. So what could I do to ...
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43 views

Mathematica cannot simplify this expression to trigonometric function

We are trying to simplify expression (-1)^(6/7) (1+(-1)^(2/7)), which is actually -2 Cos[π/7], using different methods. None of ...
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31 views

$Assumptions not taken in account

Consider the following code : ...
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1answer
79 views

Simplify function with a derivative

This may be a very simple question: how can I substitute out a term involving a derivative in Mathematica? I have the following derivative: ...
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65 views

Evaluate higher order derivative at some point under some assumptions

I need to evaluate the $k^{\rm th}$ order derivative D[w[t] w'[t], {t, k}] which is actually equal to ...
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43 views

How to perform delayed evaluation containing function with Mathematica

I was wondering whether there is a way in Mathematica to evaluate an expression in the most simple form, without any simplifying. For example if we define: ...
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29 views

Simplifying expressions: factorization: reverse distributive property

Is there any Mathematica of the type Factor, FullSimplify, etc. that fully reverses distributive property? I mean, is there a simple way to turn the expression $$ e^{x(t,r)}+e^{x(t,r)+y(t,r)}+e^{x(t,...
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39 views

Simplifying Wigner sums

Rotations of second rank tensors are common in quantum mechanics and Nuclear Magnetic Resonance theory. The sums can often be simplified into simplified real components, but when many sums exist, ...
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81 views

Mathematica can't solve system of equations

I'm trying to solve an admittedly gnarly system of equations: ...
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43 views

How can I simplify expressions correctly?

the final output of my code gives this expression which i call ttt: ...
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61 views

For Fourier Transform with $ x(t) $, how to obtain result in terms of $ X(f) $?

I have a function $ x(t) $ and I denoted its Fourier transformation as $ X(f) $. I want to get the Fourier transformation of $ x(t)\mathrm e^{2\mathrm i \pi f_0 t} $, and I know the result is $ X(f-...
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102 views

FullSimplify of Dirac Delta Function failed

I have t1 and t2 whose difference should be 0. But ...
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32 views

Preferences for simplifying

I often (always?) find that Mathematica prefers to express $(a-1)^2$ as $(-1+a)^2$, thus "wasting" a character. Moreover, for me, the expression $(a-1)^2$ is more attractive since it doesn't have the ...
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63 views

Why won't Mathematica Conjugate this expression>

I've been trying to replicate the derivation of Bloch's equations in Mathematica and for the final substitution, it won't correctly conjugate the expression even though I specify that all of the ...
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170 views

Simplifying huge expressions

I want to simplify a huge expression. There are many terms like in form as below in my huge expression. ...
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81 views

FullSimplify doesn't work in one case

We have the following code: ...
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48 views

Simplifying expression with complex exponentials and sinusoids to just sinusoids

I can't get Mathematica to simplify this as I expect it would/should: ...
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37 views

How to set the domain of x?

a = 1/6 Log[x + 1] - 1/6 Log[x - 1] b = 1/6 Log[(x + 1)/(x - 1)] a == b a and b should be ...
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52 views

Using Refine function and take real part of a symbolic expression

I am trying to take the real part of the a complex expression using Refine function. However, the result doesn't come out as expected. The final result still ...
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38 views

How to can write the simplest form

I am trying to find the simplest form of a function that contains many different Sign to a function without the Sign function: <...
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48 views

Impose integration rules

Suppose I have the following sum of integrals: ...
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67 views

How do I simplify complex integer powers of 1?

In mathematica 4, when I enter FullSimplify[(-1)^n + (-1)^{3n}, n ∈ Integers], I get the desired result 2(-1)^n. ...
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Exact numerical answer

Here is a result I get: (-0.00012038 - 5.13719*10^-6 I) Derivative[1][Re][ 0.0031338[VeryThinSpace]- 0.0000246409 I] Why don't I get just one number as a response? What am I doing wrong? I tried N,...
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62 views

Refine expression with given identities

I want to use Mathematica to refine some expressions for me. Ultimately I want to find some set of matrices that suffice to certain conditions. In my calculations I'm adding a diagonal matrix $A$ to ...
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55 views

Confirming solution to system of differential equations in Mathematica

I am solving a system of 2 second order linear homogeneous constant coefficient differential equations of the form $x''(t)=ax(t)+by(t),\ \ y''(t)=cx(t)+dy(t)$ and the general solution that Mathematica ...
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67 views

Conjugate of basic expression not simplified

Why does Mathematica not simplify the following expression? ...
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66 views

Algebraic transformation of expression

I have ...
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97 views

How to simplify an expression multiplied by infinity?

I am taking a limit which yields an expression of variables multiplied by -∞. Shouldn't this simplify to just infinity? I've tried adding assumptions that the ...
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50 views

Simplifying an expression failed

I have an expression(complex), which I need to simplify. I kept it for more than 1 day. But after that I just received all the expression with faint blue(how they appears on first time opening the ...
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59 views

No output with Simplify

I have the following piece of code: Assuming[{\[Rho] > 0, z > 0, m > 0, \[CapitalOmega] > 0}, Simplify[expr, TimeConstraint -> 1000]] // Timing ...
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51 views

Assumptions work for simple function but don't work for complicated function

Suppose the function f1[s1uppern_, s1lowern_]= I Sqrt[s1uppern - s1lowern]/(s1lowern - s1uppern)^(3/2) I want to simplify it assuming that ...
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53 views

to reduce the unknowns of a set of equations with several symbolic coefficients, e.g. using the GroebnerBasis

I have a set of $4$ equations with $4$ unknowns $\theta_1$ to $\theta_4$, and would like to eliminate the number of unknowns, to get a smaller set of equations, e.g. $n$ equations with $n$ unknowns, ...
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Evaluating multiple lines of code inside a Do loop and extracting results

I'm trying to use NMaximize to maximize a function within a looped domain, and evaluate several different expressions at each of those solutions. What I'd like to ...
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29 views

Handling recurrence relations

Are there special features in Mathematica for probing a recurrence relation? (dummy example: $f(x) = \prod_{i=1}^N f(x-i)$) Such as, potential simplification, finding base cases, or a visualisation ...
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55 views

Solving Inequality involving Sum of PrimePi's

I am trying to figure out if for each $n$ we have $$\sum_{i=1}^n\pi (2^i)+(1-1/2^n)\Bigg(\sum_{i=1}^{\lfloor n Log2/Log3\rfloor-1}\pi(3^i)+\sum_{i=1}^{\lfloor n log2/log5\rfloor-1}\pi(5^i)+\cdots+\...
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58 views

Evaluating a sum with constraints on the indices

I want to know how to write $$\sum_{\substack{a,b,c>0 \\ a+b+c=n}} f(a,b,c).$$ as an expression that can be evaluated in Mathematica. I know that I can write the summation $$\sum_{\substack{a,...
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48 views

Bracket exponential functions from output

I have a complicated function c2[t, n, d1, d2, g,a10, a01, a00], which I would like to put into a form: ...