Repository for Bachelor's Thesis - Harmonic Functions and the Mass of Asymptotically Flat Half Spaces

This repository contains the $\LaTeX$ and Python source code for my Bachelor's Thesis.

How to run the code for computations and graphs

Within the Folder Computations and Graphs, there is both a Jupyter Notebook computations_and_graphs.ipynb and a corresponding Python script computations_and_graphs.py.

• To run the Jupyter Notebook, just execute it in some Jupyter Environment running a Python 3.10 kernel (any requirements should automatically be installed). This can e.g. be done on the university's cloud Jupyter offering by uploading and running the .ipynb file (just be sure to select the kernel "Python 3.10 (XPython)" and to recreate the folder structure of this project (in particular there should be a figures folder in the same directory as the computations_and_graphs folder)).

• To run the Python script:

  1. git clone this repository from the command line and cd into it.
  2. Create a virtual environment (with Python version 3.10). Assuming Python 3.10 is installed, running the following should work in Windows Powershell:

  py -3.10 -m venv .venv
  .\.venv\Scripts\Activate.ps1
  python -m pip install -r .\computations_and_graphs\requirements.txt

  On Linux in e.g. bash, one can probably use the following:

  python3.10 -m venv .venv
  source .venv/bin/activate
  python -m pip install -r computations_and_graphs/requirements.txt

  3. Be sure to execute the Python file from witin the computations_and_graps directory:

  cd ./computations_and_graphs/
  python computations_and_graphs.py

  4. Output should appear in the terminal and in the figures folder.

How to compile the $\LaTeX$ source code

This thesis was written using MikTeX and my custom package hrftex. After following the installation instructions here, it should be possible to compile the file

Harmonic_Functions_and_the_Mass_of_Asymptotically_Flat_Half_Spaces.tex

using e.g. pdflatex or latexmk.