8.22.1 Top new questions this week

8.22.1.1 What is the fastest method to set the diagonals of a matrix to 1?
8.22.1.2 Number of significant digits in uncertainty of Around
8.22.1.3 IntegrateChangeVariables producing incorrect result
8.22.1.4 JUST SAYING puzzle
8.22.1.5 CRAZY EIGHTS puzzle
8.22.1.6 Eigendecomposition of a matrix with a variable
8.22.1.7 What is an appropriate setting in NDSolve to get feedback about the progress of a long computation?
8.22.1.1 What is the fastest method to set the diagonals of a matrix to 1?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270338

I am trying to replace the zeros along diagonal of a distance matrix to a list of constants.  In this case, a diagonal of 1's. 
It appears that the  LinearAlgebra  ... 
[performance-tuning] [replacement] [functional-style]
 
asked by Craig Carter https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12461 Score of 18
answered by Jacob Akkerboom https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4330 Score of 14
8.22.1.2 Number of significant digits in uncertainty of Around

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270438

 Around[100.123456, 0.12] 
 
gives 
 100.12ś0.12 
 
But 
 Around[100.123456, 0.42] 
 
gives 
... 
[around]
 
asked by matheorem https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4742 Score of 9
answered by rhermans https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=10397 Score of 6
8.22.1.3 IntegrateChangeVariables producing incorrect result

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270358

Consider the simple quadratic function: 
 ClearAll[f]; 
f[x_]:=x^2; 
 
Now let's set up the two identical integrals: 
... 
[calculus-and-analysis] [bugs] [version-13.1]
 
asked by user13892 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=13892 Score of 9
answered by Nasser https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=70 Score of 9
8.22.1.4 JUST SAYING puzzle

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270221

The Sunday New York Times magazine has a new puzzle (June 26, 2022), JUST SAYING by Will Shortz, with the following rules: 
 
Change one letter in each word to spell a new word.  Then arrange the new ... 
[string-manipulation] [puzzle] [dictionary]
 
asked by David G. Stork https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9735 Score of 9
answered by Ben Izd https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77079 Score of 12
8.22.1.5 CRAZY EIGHTS puzzle

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270360

The Sunday New York Times magazine has a puzzle, CRAZY EIGHTS such as this: 
 
The goal is to fill in the $4 \times 4$ unfilled squares with letters to make valid 8-letter words reading both ... 
[puzzle] [dictionary]
 
asked by David G. Stork https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9735 Score of 8
answered by Ben Izd https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77079 Score of 13
8.22.1.6 Eigendecomposition of a matrix with a variable

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270369

I have an issue with a decomposition of a matrix $B$ that is positive semidefinite and that depends on a parameter $x$. Writing $\lambda_i\geq0$ the eigenvalues and $\psi_i$ the corresponding ... 
[matrix] [linear-algebra] [eigenvalues]
 
asked by Rafifoo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=87269 Score of 8
answered by user293787 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=85954 Score of 11
8.22.1.7 What is an appropriate setting in NDSolve to get feedback about the progress of a long computation?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270215

Often in computation with an NDSolve-type solver, one hopes to know about its progress. 
To this end, I am using  StepMonitor  as follows, 
... 
[numerical-integration] [monitoring]
 
asked by jsxs https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=40024 Score of 8
answered by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 Score of 9