deforestation | machine learning exercise , using KNN | Machine Learning library

Having this dataset:

I'm working on a land-use model where each tick represents 3 'real-life' months. I want to calculate the deforestation rate for a whole year and make this information available to certain agents. I define deforestation is defined as the natural log of last year's forest extent divided by this year's forest extent times 100. Currently, I'm calculating deforestation on a quarterly basis like so:

so I've coded a questionnaire and I'm running into an issue. When a user clicks submit the questionnaire the results are displayed near the submit button I was hoping for them to be redirected to a new page (where results are displayed) by using the CSS hidden property, but I don't understand how I can do that and also for some reason after submitting there is an 'undefined' option displaying under the choices, how can I get rid of that? I'd really appreciate it if someone can help me solve my issues, thank you!

I linked the IDE for my project if that's easier: https://repl.it/@AS11RA/Forest-Firefighters-Website#start%20questionnaire.js

Heres the startquestionnaire.Js file:

so I've coded a questionnaire/survey for my website but for some reason when a user clicks start questionnaire the questions show but the choices aren't displayed. I'm really confused as to why this isn't working I would really appreciate if anyone can help me solve my problem, thank you!

Here's a link to my IDE as I figured it would be easier to go through it to identify any mistakes I'm making: https://repl.it/@AS11RA/Forest-Firefighters-Website#index.html

Here's the start questionnaire.js file:

[EDITED]

It is a general question: I have seen some posts saying that it is not a good idea to use foreach and write.csv inside a foreach loop due to different cores trying to write in the file at the same time, resulting in missing results. Still, I need to write in an external file inside the parallel loop to get my output (500000+ rows and 10+ columns). Otherwise, it crushes for memory issues. So, I would like to know if there is a more safe way to write a result file within a foreach loop. I appreciate any help on this

I am adding some more info and a much more simple code and data than what I actually have.

Description: I have two different polygons layers (sf, polygon), each with 500000+ sf. I need to calculate the area of different raster classes (1 raster layer with 3 classes) within each one of the polygons. This is the most time-consuming part of the script, specifically because I need to use sf::sf_intersection multiple times. Then, I use many different combinations of if-else and rules to populate a df with values and rules.

This is the original code, which I get memory issues with the original data:

When I run this program it gives me an error in the text and I don't know why, I have tried to run it also from a file and it also gives me an error, how can it work?

I am revisiting a school project, which I did not complete to my satisfaction. Namely, I wrote an algorithm that takes an ALMOST arbitrary size set of equations and solves them iteratively. The problem being the "almost" part. Essentially, it must have at least two equations, and will not solve for a single one. This is because, I believe, that I don't understand how to use positional arguments correctly.

Below, in the main method, I define two functions y_prime and z_prime. If I pass them both, I get a beautiful graph of my solutions. But, if I only pass y_prime along with its initial conditions and the solution vector to the rungekutta() function, things go haywire:

I'm working on this page where I have a container with 2 paragraphs. Between those 2 paragraphs I want (only on small screens) to show a quote in a div that has a full screen-width, however due to the container I can't seem to get it full width small screen view.

I know it's possible to make multiple containers, but that's not what I want, since it has to look like THIS on middle and large screens (2 columns). As you can see the quote is also only on the small screens. Any way to fix this? This is my code

HTML:

I have two ng-app but it's not working simultaneously. If I'd comment-out, then the other section is working and vice versa.