Simplex | Programming Language for everyone , and no one | Interpreter library

This may be a strange one but I have a graphic of a triangle like this:

and in a survey platform, whenever one click on a point in this graphic an x,y coordinates in pixels are recorded like this (the origin for x,y is from the top-left of the image)

Note: the clicking is only allowed inside the green triangle.

Is there a way to convert these coordinates to barycentric coordinates (x,y,z) with respect to a simplex in 2D (this triangle)?

If so what is the appropriate equation given that we have the x,y in pixels.

Would it matter if they are in pixels or are they still considered Cartesian coordinates?

Thanks!

I am using IBM Cplex as a solver in the package PHONEMeS

However, Cplex returns the following error:

I'm trying to create an ocean for my Three.js application. I took the example from this site: https://codepen.io/RemiRuc/pen/gJMwOe?fbclid=IwAR2caTQL-AOPE2Gv6x4rzSWBrOmAh2j-raqesOO0XbYQAuSG37imbMszSis

I'm trying to solve this PL with R Studio:

I am trying to use scipy.optimize.minimize (simplex method) for minimizing the following function

I am working on a project about Transportation Network Analysis. My network contains data such as nodes, edges, free-flow travel times, capacity, etc. I need to find the volume of edges (links) by using the Frank-Wolf algorithm. I used scipy.optimize.linprog in my code; however, it returns False for success.

The first code is:

I am trying to use the networkx network_simplex() function with a directed graph.

In the official documentation it says:

This algorithm is not guaranteed to work if edge weights or demands are floating point numbers (overflows and roundoff errors can cause problems). As a workaround you can use integer numbers by multiplying the relevant edge attributes by a convenient constant factor (eg 100).

However, I am not using any float numbers on edge weights or demands, how can I fix this issue?

Here is the code piece that I am trying to run:

I am working on programming the Simplex method (to solve LPP problems) in Python and I am basically done. I am now working on the aesthetic part and I am having some problems. A simplex table is a table as follows:

This a sample of a Simplex Method Table

Currently, I have produced the following code: The information on the table is right but I can't figure a way to produce the cool lines and to put the basic variables on the left, and all the variables on top. Please note that I have a function that gives me the indexes of the basic variables (i.e., according to the picture above, I have a function that gives me the indexes 3,2,5) and the top part I believe would be pretty simple (since we print every variable from 1 to the length of the table). I am also having trouble on printing float numbers in the table with only 2 decimals.

I am working on a solver to illustrate the Nelder Mead algorithm by generating a topographical map. The map is represented visually by a JPanel component (I know the map is not generating as cleanly as I'd like, but that's another issue). One of the buttons I have is supposed to generate a new map by removing the old component from the container JPanel and adding a new component; however, while it does draw a new map, it displays it offset by half of the component's height. Following are before and after images of what happens when Regenerate is hit.

The initial map image

After the Regenerate button is hit, the new map is displayed at a y offset

Here is my main code (The canvas object extends JPanel):