## integration – can i write this $int_{mathbb{R}^2} psi(textbf{x}) , d^{2}textbf{x} = 2pi int_{0}^{infty} rho , phi(rho), drho$?

If the function $$psi$$ is isotropic, (i.e. $$psi(textbf{x}) = phi(|textbf{x}|)$$, where $$phi in L^{1}(mathbb{R})$$, then can i write
$$begin{equation} label{eq:2.1} int_{mathbb{R}^2} psi(textbf{x}) , d^{2}textbf{x} = 2pi int_{0}^{infty} rho , phi(rho), drho , end{equation}$$
where $$rho=|textbf{x}|$$ is the norm of $$textbf{x}$$ in $$mathbb{R}^{2}?$$

## How can I write the eyes emoji in Skype?

How can I write the eyes emoji in Skype?

I mean this emoji:

While I know that if I write the (eyespeechbubble) I will get this emoji:

So, I would hope for there being a code something like (eye) or (eyes), but I was not able to find one.

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## As I force MMA to write the results in the traditional way?

As I get the output in the form that one writes by hand, I have tried with TraditionalForm, but it does not work

I’ve looked at several answers in the forum but I can’t find any that help

a^(2/3) - a^(1/3) b^(1/3) + b^(2/3) -> Power(a^2, (3)^-1) - Power(ab, (3)^-1) + Power(b^2, (3)^-1)

a^(3/4) - Sqrt(a) b^(1/4) + a^(1/4) Sqrt(b) - b^(3/4) -> Power(a^3, (4)^-1) - Power(a^2 b, (4)^-1) + Power(ab^2, (4)^-1) - Power(b^3, (4)^-1)

a^(4/5) - a^(3/5) b^(1/5) + a^(2/5) b^(2/5) - a^(1/5) b^(3/5) + b^(4/5) -> Power(a^4, (5)^-1)  - Power(a^3 b, (5)^-1) + Power(a^2 b^2, (5)^-1) - Power(ab^3, (5)^-1) + Power(b^4, (5)^-1)


## python – How to write elements from a list into a csv with different columns

I have a list for example

('1 sam 2000','2 jack 1232','3 lily 34')


Each element in the list actually contains information for 3 columns and separated by spaces.
These were read from a txt file.
Using

with open('test.txt','r',encoding='utf-8',errors='ignore') as file:
li = ()
for i in file:

i =i.rstrip('n')
li.append(i)


Or shall can I simply convert txt into csv ?

## plotting – How to properly write multiline text with LaTeX symbol in a frame and with background

I wanted to include a number of text-box with background color white inside a plot. The text inside the box will also have LaTex expressions as well as multiple lines.

Is there any way to include multiline text (including LaTeX symbol) inside a plot?

In addition I want to set frame and background color for the box.
I am currently using Epilog and Prolog to include such text.

  ListLinePlot(
Table({k,
PDF(BinomialDistribution(50, p), k)}, {p, {0.3, 0.5, 0.8}}, {k, 0,50}),
Filling -> Axis,
FillingStyle -> Automatic,
(**Option-1**)
Epilog -> Text(Style(ToExpression("\text{E}_{x} \n text2", TeXForm, HoldForm),Bold),{30, 0.13}),
(**Option-2**)
Prolog -> {Inset(Framed( "E_{x}ntext2" , RoundingRadius -> 5,Background -> White), {45, 0.13})}
(**Option-3**)
(*Prolog -> {Inset(Framed( MaTeX("E_{x}\n text2" ) , RoundingRadius -> 5,Background ->White),{45,0.13})}*)
)


Option-1 fails writing E_{x} as well as breaking line.
Option-2 fails writing E_{x} but breaks line.
Option-3 is the one I wanted but it fails in breaking line.

Is there any way to achieve this.

Moreover I also wanted to ask, what should one do if one has to include say more that two text boxes?