**1.283 simplifying-expressions questions.**

I am doing a calculation where I try to simplify a very complicated complex function. I did this step by step and I checked that the numerical values that the function gets for certain values of the ...

I have an expression like $(f[t])^{a+b} (g[t])^{-a-c}$ and I want to get it in a form where I collect the functions under the same power. For example, I would want the above in the following form:
$\...

Sometimes I can merge multiple equetions to one shorter form for examplestatic const float oneby48 = 1.0f/48.0f;
sl2l = oneby48 * (24.0f-l); // sin(l/2)/lbut ...

I cannot get Mathematica (version 11.3.0.0 on Mac OS) to simplify this:c = (2.71*^10*a)/(1.23*^14*a + 3.14*^12*b)$$\frac{2.71\times 10^{10} a}{1.23\times 10^{...

The conditions in x ∉ Integers && y ∈ Integers && y == -(1/2) + x/2 are inconsistent but Reduce does not solve ...

I am working on a project and part of the output of my code is the following:
$$
\text{a1}\otimes\text{a2}+\text{a1}\otimes(\text{a1}\otimes\text{a1}-\text{a2})-\text{a1}\otimes\text{a1}\otimes\text{...

I will try to be as clear as possible.
I need to calculate the derivative of a function. The result is a very long equation and I would like Mathematica to find and substitute parts naming them with ...

I'm trying to take a (-1) from a power to 3/2 as this:Simplify[(-(a))^(3/2) - ((-1)^(3/2) (a)^(3/2)), a > 0]I get as a result as expected 0. But when I try ...

In the following expression, how can I group apart the terms in the exponential with a and b coefficients so that I can express ...

Problem:
I have a matrix of the following form Table[Which[i == j, -2 Cos[k], i == j + 1 , 1, j == i + 1, 1 , True, 0], {i, 1, m}, {j, 1, m}]and I want to have ...

Is there any way to force Mathematica to not use double and half angle formulae etc. when simplifying Trigonometric expressions?
For example,...

I am trying to convert a trigonometric expression likesinθ/(1 - cosθ)intocosecθ + cotθor
...

How can I know if $(-2 + a (1 + i))/(a - 1), a=(-2 i (z - 1))/((z - i) (1 + i))$ is equal to $(1+i)(1-z)$?
I tried FullSimplify$[(-2 + a (1 + i))/(a - 1)]$ and I got $-(2 (1 + i) (i (-2 + z) + z))/(i ...

Let's say we have the following relation between different variables:
...

When I try to rationalize the following number $$1\over{2^{1/4}+4^{1/4}+8^{1/4}}$$ FullSimplify[1/( 2^(1/4)+4^(1/4)+8^(1/4) )]I get the same expression, and ...

I have a complicated function that returns a fairly simple result:Sqrt[1/Abs[Sec[t/2]]^2 + Sin[t/2]^2]I can see that this is equal to one, but when I try to ...

Unless I misunderstood something, this is different from a similarly worded question because I am not asking for the relationship between different variables here.
I want to convert an expression ...

Consider the following equations:W*BP == X*PC
Y*AQ == Z*BQ
AC^2 == AB^2 + BC^2
PQ^2 == BP^2 + BQ^2
AP^2 == AB^2 + BP^2
BC == BP + PC
AB == AQ + BQLet's say, I ...

Imagine, as a simple toy example, that it's valid to replace some list with any one of its elements. How could I write this into Simplify ...

I run Want to write an expression in the form of expr= (b rr^w+ q rr^v +...)/(c rr^n + p rr^m + d rr^s +...)To do that, I write
...

So I have an identity which looks like this:
$\langle ij \rangle\langle kl \rangle + \langle ik \rangle\langle lj \rangle = \langle il \rangle\langle kj \rangle$
In mathematica I implement the angle ...

I am new to MMA and have a basic question.
I am trying to separate the derivatives of an expression for simplification.
E.g. on doing
...

So, I have the following:Simplify[Im[1/(-1 + Cos[θ])^2],
Assumptions -> {θ -> Reals, 0 < θ < π}]which should evaluate to 0, as the function is ...

I have a complicated function that is returning a simple expression. The symbols a and b are unassigned. I have not been able to get Mathematica to simplify the expression. (This is only a simple ...

If I doSimplify[(c^3 - s^3)^2 - (s^3 + c^3)^2,
TransformationFunctions -> Automatic](i.e. a verbose version of default behaviour), what transformation ...

Edit: Turns out in my use case I should use ComplexExpand instead of Simplify. My broader question is still worth answering, but ...

I want to expand this:FullSimplify[Abs[1 - Abs[x]], x \[Element] Reals]how can I do this? Evidently this function can be presented as
...

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 ...

Simplify may or may not simplify depending on the symbols you use for its assumptions are good. For example, here is a case where ...

I often run into the problem that Mathematica refuses to simplify divergent subexpressions as part of a full expression that is manifestly finite. This only happens when a symbolic power is involved.
...

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_{...

Consider a large expression which contains terms like a/x+b/x^2+c x + d x^4 +...-b/x^2 +h x -a/x +...I want to find limit of the expression when x goes to zero....

sorry it was impossible to put the code in Latex, he said that there were problems of indentation, I put the image

After I use Simplify on an expression I get$\dfrac{1}{2}\sqrt{-\dfrac{\sqrt{(-b^2+16|c|^2)(4|c|^2+b\Im(c))^2}}{4a(4|c|^2+b\Im(c)])}}$. This expression can clearly be simplified further by noticing ...

Why is the following expression not simplifying?Assuming[U \[Element] Reals, Simplify[Im[Sqrt[16 + U^2]]]]It returns
...

I have the following expressionF[p1, p2] a[p1] ** b[p2] - F[p1, p2] a[p2] ** b[p1]where ** is the non-commutative ...

I am trying to determine the maximum of an expression analytically by first finding the point where it becomes maximum:
...

Bug introduced in 5.0 or earlier, persisting through 11.3.
I encountered this when trying to answer this question:x DiracDelta[x] // Simplify
(* 0 *)Is this a ...

So this is similar to this.
Suppose I have an equation $ax^2-bx+3a-c-2x^2+7cx+x^2=0$
I can group the terms in mathematica using
...

I'm on 11.3.0 for macOS (64-bit).
On a recent CAS-enabled exam question a few weeks ago I was required to evaluate the following integral:
$$
\int_0^5\left(\sqrt[3]{125-x^3}\right)^2\,dx
$$
In ...

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

I have a functiony[k_]:={0,0,0,I*t^k};and I need to get a vectorJoin[y[1],y[2],y[3],y[4],y[5],y[6],y[7]]and it is just ...

I am trying to simplify this expression
...

Consider the following inputAssuming[Element[y, Integers], (-1 + E^(I \[Pi] (x + y)))/(-1 + E^(I \[Pi] (x - y)))//FullSimplify] ...

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- trigonometry
- expression-manipulation
- calculus-and-analysis
- algebraic-manipulation
- special-functions
- replacement
- summation
- functions
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- evaluation
- factorization
- matrix
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- differential-equations
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