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# Questions tagged [simplifying-expressions]

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

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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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### 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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### Transcendental equation analytical solving

I want to solve a transcendental equation analytically, the equation basically is ...
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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>... 0answers 34 views ### 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 ... 0answers 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 ... 0answers 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 ... 0answers 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 ... 0answers 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 ... 0answers 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 ... 0answers 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 ... 0answers 31 views ###$Assumptions not taken in account

Consider the following code : ...
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### 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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### 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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### 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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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,... 0answers 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, ... 0answers 81 views ### Mathematica can't solve system of equations I'm trying to solve an admittedly gnarly system of equations: ... 0answers 43 views ### How can I simplify expressions correctly? the final output of my code gives this expression which i call ttt: ... 0answers 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-... 0answers 82 views ### How do I separate 2 variables to be independent from each other in the equation? I have an equation namely ... 0answers 102 views ### FullSimplify of Dirac Delta Function failed I have t1 and t2 whose difference should be 0. But ... 0answers 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 ... 0answers 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 ... 0answers 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. ... 0answers 81 views ### FullSimplify doesn't work in one case We have the following code: ... 0answers 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: ... 0answers 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 ... 0answers 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 ... 0answers 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: <... 0answers 48 views ### Impose integration rules Suppose I have the following sum of integrals: ... 0answers 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. ... 0answers 75 views ### Exact numerical answer Here is a result I get: (-0.00012038 - 5.13719*10^-6 I) Derivative[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,... 0answers 83 views ### How to get the unique solution of ax=b ... 0answers 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 ... 0answers 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 ... 0answers 67 views ### Conjugate of basic expression not simplified Why does Mathematica not simplify the following expression? ... 0answers 66 views ### Algebraic transformation of expression I have ... 0answers 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 ... 0answers 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 ... 0answers 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 ... 0answers 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 ... 0answers 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, ... 0answers 84 views ### Further simplify, if possible, an expression containing two Hypergeometric2F1 functions I've encountered the expression ... 0answers 56 views ### 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 ... 0answers 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 ... 0answers 55 views ### Solving Inequality involving Sum of PrimePi's I am trying to figure out if for each n we have$$\sum_{i=1}^n\pi (2^i)+(1-1/2^n)\Bigg(\sum_{i=1}^{\lfloor n Log2/Log3\rfloor-1}\pi(3^i)+\sum_{i=1}^{\lfloor n log2/log5\rfloor-1}\pi(5^i)+\cdots+\...
I want to know how to write $$\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,...