8.26.1 Top new questions this week

8.26.1.1 Mathematica or math question: why my own Monte Carlo gives different result from the Mathematica's one?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271773

Consider some function of arguments x,y,z, where the latter have some domain of definition $\mathcal{R}$: 
... 
[numerical-integration] [random]
 

asked by John Taylor https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=41058 Score of 10

answered by Lukas Lang https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36508 Score of 10

8.26.1.2 How to programmatically construct a function or a compiled function?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271730

I'd like to programmatically construct a function from a long expression with many duplicate terms.  The objective is to programmatically create a set of compiled functions with expressions that were ... 
[function-construction] [compile] [functional-style] [hold]
 

asked by Craig Carter https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12461 Score of 10

answered by Lukas Lang https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36508 Score of 8

8.26.1.3 IntegerPart - is this a known bug?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271798

I'm working in Mathematica 13.0 and I type 
 a=0.00001; 
IntegerPart[a/a] 
 
and well, the output is 0. 
Try with almost any other value of ... 
[precision-and-accuracy] [machine-precision] [number-representation]
 

asked by Davide Venturelli https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=76471 Score of 9

answered by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 Score of 11

8.26.1.4 Why Mathematica is treating the product of (specified) real variable as complex?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271794

For the given matrix 
... 
[simplifying-expressions] [linear-algebra] [assumptions]
 

asked by seeker https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=84918 Score of 8

answered by Domen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75628 Score of 10

8.26.1.5 How to bound a set of data points from above?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271877

The following data produces a distribution as shown. However I want that black-line to be highlighted that is kind of bounding these points from above. How can one do this in Mathematica? 
 
... 
[fitting] [data]
 

asked by seeker https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=84918 Score of 7

answered by Bill https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=18890 Score of 4

8.26.1.6 How to reconstruct 3d meshes from 2d images of a scene?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271713

The new  ImageStitch  was nice functionality added in v13, but is there anything available for constructing meshes (with color textures) from a bag of 2D images (... 
[graphics3d] [mesh] [machine-learning] [textures] [computer-vision]
 

asked by M.R. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=403 Score of 7

8.26.1.7 NonlinearModelFit's fit is atrocious

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271783

I want to do a very complicated fit (it involves a product of polynomials and non-linear functions). 
I read about NonlinearModelFit and thought it would be a good idea to use it. I started with a toy ... 
[fitting] [nonlinear]
 

asked by infinitezero https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=31036 Score of 7

answered by Sjoerd Smit https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=43522 Score of 11