8.14.1 Top new questions this week

8.14.1.1 Dimensionless units like Percent are not treated consistently by functions like Exp or Log. How can pitfalls be avoided?
8.14.1.2 Divide a geometric region by (many) lines
8.14.1.3 What is an easy way to transform an equality into a replacement rule?
8.14.1.4 Removed all undefined from a list of rules
8.14.1.5 How to combine a 3D plot and a 2D density plot?
8.14.1.6 How can I add different ticks on both sides of color bar?
8.14.1.7 Neglecting higher order terms in a Lagrangian
8.14.1.1 Dimensionless units like Percent are not treated consistently by functions like Exp or Log. How can pitfalls be avoided?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=267387

There are so many false calculations out there that working with  Quantity  und unitsat least initiallyshould be mandatory in many applications. 
Alas, ... 
[units]
 
asked by gwr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=764 Score of 13
answered by gwr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=764 Score of 8
8.14.1.2 Divide a geometric region by (many) lines

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=267189

Given a shape (e.g., a rectangle, a circle, etc.), how to divide it by $n$ randomly chosen lines. It is trivial to plot those lines (see figure below), using code like 
... 
[plotting] [geometry] [computational-geometry]
 
asked by Taozi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=35882 Score of 12
answered by kirma https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=3056 Score of 14
8.14.1.3 What is an easy way to transform an equality into a replacement rule?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=267337

I found the necessity for the following procedure and was surprised I couldn't find a built-in function to do the following. I include my solution in case someone needs the same functionality, but if ... 
[equation-solving] [replacement]
 
asked by akozi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75556 Score of 7
answered by Syed https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=81355 Score of 17
8.14.1.4 Removed all undefined from a list of rules

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=267285

My output from NSolve is a list of rules, most of these are undefined, I want to remove those rules. 
More specifically I have a list 
... 
[list-manipulation] [replacement] [pattern-matching]
 
asked by Nitaa a https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=82839 Score of 7
answered by Syed https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=81355 Score of 8
8.14.1.5 How to combine a 3D plot and a 2D density plot?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=267291

I am new to mathematica and I know there are questions related to this topic but I could not find mine. My supervisor has asked me to shadowplot my Wigner functions which he showed me is like the ... 
[plotting]
 
asked by Anaya https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=86226 Score of 7
answered by Edmund https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=19542 Score of 8
8.14.1.6 How can I add different ticks on both sides of color bar?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=267493

... 
[plotting] [legending]
 
asked by valar morghulis https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=26937 Score of 6
answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 Score of 5
8.14.1.7 Neglecting higher order terms in a Lagrangian

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=267343

I have a lagrangian which is modified by variable change. I want to neglect all the 4th order and higher terms in the new lagrangian. The code being used is given below: 
... 
[equation-solving] [calculus-and-analysis] [series-expansion] [physics]
 
asked by codebpr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=78049 Score of 6
answered by bmf https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=85558 Score of 4