11.36.1 Top new questions this week

11.36.1.1 To solve a system of 3 nonlinear PDE
11.36.1.2 Prevent equation involving units from evaluating to True
11.36.1.3 How to prevent Dataset from converting Pi to decimal point?
11.36.1.4 Undocumented change to behavior of Labeled[] in 14.3 intended?
11.36.1.5 Wouldn't it be better to leave Divide[x,x] as it is?
11.36.1.6 Plot of $x^ \epsilon  \log x  $ near zero
11.36.1.7 What is the List analogue to StringSplit?
11.36.1.1 To solve a system of 3 nonlinear PDE

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=315729

I am trying to solve a system of 3 nonlinear partial differential equations: 
... 
[differential-equations] [finite-element-method]
 
asked by Alexei Boulbitch https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=788 Score of 8
answered by Alex Trounev https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=58388 Score of 7
11.36.1.2 Prevent equation involving units from evaluating to True

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=315730

If I evaluate the expression below, output is  True  as expected. However, is there a neat way to get an intermediate result as shown below without fully evaluating ... 
[evaluation] [hold] [units]
 
asked by Soon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=78050 Score of 6
answered by xzczd https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1871 Score of 11
11.36.1.3 How to prevent Dataset from converting Pi to decimal point?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=315719

This might be another known issue in Dataset but not able to find workaround. 
Dataset converts $\pi$ to decimal point. But keeps $\{\pi\}$ as exact. 
Is there  a way to tell Dataset to keep $\pi$ as ... 
[dataset] [associations]
 
asked by Nasser https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=70 Score of 6
answered by mikado https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36788 Score of 6
11.36.1.4 Undocumented change to behavior of Labeled[] in 14.3 intended?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=315711

In 14.2 the following produces labels aligned as one might find natural: 
... 
[labeling] [undocumented] [compatibility] [version-14.3]
 
asked by Tapiocaweasel https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=93168 Score of 6
answered by Domen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75628 Score of 6
11.36.1.5 Wouldn't it be better to leave Divide[x,x] as it is?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=315755

The fact that Mathematica from its 1.0 version decided to rewrite  Divide[x,x]   to  1  automatically has always annoyed me. Wouldn'... 
[fundamentals]
 
asked by JanaH https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=112341 Score of 5
11.36.1.6 Plot of $x^ \epsilon  \log x  $ near zero

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=315735

Fix $\epsilon\in (0,1)$. It is an elementary fact of calculus that 
$$\lim_{x\to 0^{+}} x^{\epsilon}|\log{x}|=0.$$ 
When I plot the function $x^{\epsilon}|\log{x}|$ using Mathematica 13.2 I see a blowup ... 
[plotting] [precision-and-accuracy] [singularity]
 
asked by Medo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89491 Score of 5
answered by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 Score of 7
11.36.1.7 What is the List analogue to StringSplit?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=315713

Suppose I have a string  myString = "ABC DEF" . To split  myString  into a list of separate strings delimited by ... 
[list-manipulation]
 
asked by Andrew https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1185 Score of 5
answered by lericr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=84894 Score of 9