pmatrix | Python implementation of the Matrix falling text | Data Manipulation library

I have an issue merging some lists together, I thought this would be a simple LINQ join but I think a little more complex and I'm going in circles. I have 3 tables below:

Table 1: Master list of products

Table 2: Product and corresponding Leaflet

Table 3: Product and corresponding Labels

Final result should be:-

Note: Some Products can have no leaflet and some Products can have no label. Also, leaflets and labels can be associated with more than one product.

Here's the query i tried, it brings everything together but there are many odd duplicates of rows.

I'm creating a dynamically allocated two dimensional int array and trying to use scanf to read user input directly to it, however this doesn't work properly. The first read is correct and stores the user entered value at [0][0], but the second read stores the value at [1][0] instead of [0][1], and the third and subsequent reads don't store the values anywhere in the array (I guess ending up in random memory outside the bounds?). It seems like the indices are wrong, but I've double checked them and can see the correct values for them in the debugger.

I'm programming a wrapper for first time and working with lots of different header files, but reached a problem. I can't convert D3DMATRIX to XMMATRIX. Looking at https://docs.microsoft.com/en-us/windows/win32/dxmath/pg-xnamath-migration-d3dx it says how XMMATRIX needs to be 16bit aligned but D3DMATRIX doesn't have that requirement.

code:

I'm trying to write some code in R to get from this:

Consider, for instance, the following formula:

$$f_{nm}(x) = \sin(n \ m \ x^2/\pi)$$

where $n$ and $m$ both are integers $\in [1,4]$. Forming a matrix with this information would result in:

$$\mathbf{F} = \begin{pmatrix}\ f_{11} & f_{12} & f_{13} & f_{14} \\ f_{21} & f_{22} & f_{23} & f_{24} \\ f_{31} & f_{32} & f_{33} & f_{34} \\ f_{41} &f_{42}&f_{43}&f_{44}\end{pmatrix}$$

How to create such a $4\times4$ matrix in Python and fill it with the provided formula for a given $x$ please. I know this question may be off-topic here, but the $LaTeX$ style of the equations did not work for me in the StackOverflow, that is why posted it here.

I am currently porting an algorithm from boost::ublas to Eigen:

Code 1 with boost::ublas

I am using the render to texture method for creating a multi shader program. And for various reasons. I need to first render a model to a texture with one shader program. Then render it again with a different shader program into a different texture. Then I have one final post processing shader that combines the results of the two. My problem is it seems that the second texture is overwriting the first texture. Is there a way to move textures? Or to render to a different texture without overwriting it. (Thanks for any help in advance!)

I have attached my code for reference:

I have been trying to create shading in webgl just like in this image: where we can see a cone, a sphere, and a light (which we can change his position with the sliders).

I've tried to write some code in the html file by seeing multiple examples of shading from some webgl tutoring sites, but right now, I can't even see the shapes. It's sure that I'm doing something wrong, but I just don't know where. Here's my code and I also included a link because it contains multiple files. Thanks in advance.

Link: https://wetransfer.com/downloads/cd0f66f2e2866c0d118e95b02e01cb0520200923203442/274553

I use MathJax with my Jekyll blog on GitHub Pages. In fact, I wrote a blog post on exactly what steps I took to set up MathJax 2.7.5: "MathJax in Jekyll" (August 2018)

For a couple of posts, I wanted to use a psmallmatrix environment, like the one from the mathtools package: $$\begin{psmallmatrix} 1 \\ 0 \end{psmallmatrix}$$. I know how I would create such an environment in actual TeX, using the \newenvironment command: "How do I make a small pmatrix?"

But to get the command "pre-loaded" in MathJax 2.7.5, I was doing this, cargo-culting some code from MathJax's version of the AMSmath package: