References

• https://my1396.github.io/Econ-Study/2023/10/12/Mathjax.html
• https://github.com/orgs/community/discussions/22525

References

• https://chat.openai.com/share/40613321-b1c0-41da-8523-8add8dcf9583
• https://en.wikipedia.org/wiki/Confidence_interval

References

• https://youtu.be/bOXCLR3Wric?si=1pwswv-flLj3BjXB
• https://en.wikipedia.org/wiki/Probability-generating_function
• https://en.wikipedia.org/wiki/Generating_function
• https://www2.math.upenn.edu/~wilf/gfologyLinked2.pdf

References

• https://en.wikipedia.org/wiki/Kelly_criterion
• https://www.investopedia.com/terms/k/kellycriterion.asp

Need to add GitHub link to the contact section in the about page.

References

• Solving Wordle using information theory
• https://artofproblemsolving.com/blog/articles/the-math-of-winning-wordle
• https://www.scientificamerican.com/article/information-theory-finds-the-best-wordle-starting-words1/

References

• https://en.wikipedia.org/wiki/Monty_Hall_problem
• https://youtu.be/4Lb-6rxZxx0?si=RkhHuJmPfvn-Nn-R
• https://youtu.be/TVq2ivVpZgQ?si=tCI8tQW_XjXqBaBX
• https://youtu.be/7u6kFlWZOWg?si=L-oKRfuBj2DV6rWh

References:

• https://psychology.stackexchange.com/questions/17182/basis-for-we-make-35-000-decisions-a-day-statistic

Potentially superior way for scientific/computational publishing is to write article/blog post/report in a Jupyter Notebook and then simply convert it to the desired output: HTML, PDF, etc...

References:

• https://github.com/runsascoded/nbconvert-action
• https://github.com/jupyter/nbconvert
• http://jakevdp.github.io/blog/2013/07/10/XKCD-plots-in-matplotlib/
• https://github.com/quarto-dev/quarto-cli
• https://www.scottcondron.com/jupyter/blogging/visualisation/2020/01/20/this-blog-post-was-written-in-a-jupyter-notebooks.html
• https://brittarude.github.io/blog/2021/07/11/publish-jupyter-notebook-on-github-pages
• https://peterroelants.github.io/posts/about-this-blog/
• https://sharmamohit.com/work/post/jupyter-notebooks-in-blog/
• https://www.kaggle.com/general/305387

References

• https://en.wikipedia.org/wiki/Periodical_cicadas
• https://en.wikipedia.org/wiki/Fibonacci_sequence
• ChatGPT: Silicon Valley Math Scene
• https://www.youtube.com/watch?v=KUxMY77i0q4
• https://en.wikipedia.org/wiki/Least_common_multiple
• ChatGPT: Equalizing Sum Equations

Problem

While MathJax successfully renders on FireFox on MacOS/Ubuntu/Android it fails to render on Vanadium (android).

References

• The Gambler's Fallacy is Really Odd
• Gambler's Fallacy vs Regression toward the Mean
• https://en.wikipedia.org/wiki/Gambler%27s_fallacy
• https://en.wikipedia.org/wiki/Wald%E2%80%93Wolfowitz_runs_test
• https://tivadardanka.com/blog/gamblers-fallacy

References:

• https://en.wikipedia.org/wiki/Fourier_transform
• But what is the Fourier Transform? A visual introduction.
• The Algorithm That Transformed The World
• Researchers thought this was a bug (Borwein integrals)
• But what is a convolution?
• The Fourier Series and Fourier Transform Demystified
• The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?

Problem

Currently the generic jupyter/scipy Docker image is being used by the Makefile to run all the Jupyter related commands. It would be good to have a custom image just for the website (specifically for the blogs that are converted from Jupyter Notebooks). This would be useful when there is some custom code you need to run in the notebooks (i.e. the binarytree code), or libraries not installed in the vanilla "jupyter scipy" stack (i.e. keras, torch, etc ...).

References:

• https://en.wikipedia.org/wiki/Zipf%27s_law
• https://en.wikipedia.org/wiki/Pareto_principle
• https://youtu.be/fCn8zs912OE

Problem

It is not possible to ALWAYS have the equations/formulas rendered by MathJax fit completely within the viewing dimensions of the screen (especially with mobile screens). Instead, something must be done to allow the equations to be horizontally scrolled.

Solution

It should be similar to what was done for the <code> element:

Problem

Currently the Makefile documentation (in the README.md file) does not illustrate how to use the Makefile or common problems that the Makefile solves.

Solution

Write an FAQ section to address common problems and their solutions.

Reference:

• https://en.wikipedia.org/wiki/Favicon
• https://favicon.io/

References

• https://en.wikipedia.org/wiki/Martingale_(betting_system)
• https://en.wikipedia.org/wiki/Martingale_(probability_theory)
• https://youtu.be/zTsRGQj6VT4?si=Tt19e5X9deKg0Rxq
• https://chat.openai.com/share/93758b72-73f6-467e-91d6-a3aac385b2ce

Problem

When using the make sync or make unsync command, the _jupyter/.synced_history file is never being reset. So if one happens to use the sync command ... and NEVER unsyncs, then that synced history remains unchanged and may be applied at any point that the unsync command is used. Naturally, this IS NOT the desired behavior.

Solution

The question is how to approach this? Could leverage git to determine what files to unsync instead of needing a synced history ... this might work better. Then we don't need to worry about accidentally UNsyncing files that are no longer relevant.

Reference

• https://en.wikipedia.org/wiki/Archimedes%27_principle
• https://youtu.be/GAcUZ3my6E0?si=Asyon7tyA1-vOtbS
• https://youtu.be/ijj58xD5fDI?si=INs5LB_RdXuvRJIj
• https://youtu.be/a2RILFWeh7g?si=5TrGuAqCRGeS_s2t

Refactor the default UI to use dark mode css settings by default, with a light mode option (if the user toggles it or it is set by the system default theme).

The home page text (excluding the header and footer) is no displaying properly on certain mobile screen dimensions.

References

• https://youtu.be/uCsD3ZGzMgE?si=O00LCJj7KEIlR1in
• https://en.wikipedia.org/wiki/Josephus_problem
• https://charlesreid1.github.io/the-josephus-problem-part-1-the-problem.html

Need to add dark mode to website.

Problem

Currently the Makefile is not able to recognize when the target files (all the _posts/%.md files) are older than the dependent files (all the _jupyter/notebooks/**/%.ipynb).

Problem

Currently links embedded in jupyter notebooks are not being styled (i.e. the color is wrong) in the fully rendered HTML.

References

• https://tivadardanka.com/blog/the-gamblers-ruin
• Lecture 7: Gambler's Ruin and Random Variables | Statistics 110
• Finite Math: Markov Chain Example - The Gambler's Ruin
• Quant Interview Problems | The Gambler's Ruin Problem
• Gambler's ruin problem - simple visualization
• https://en.wikipedia.org/wiki/Gambler%27s_ruin

References

• https://thepalindrome.org/p/how-large-that-number-in-the-law?utm_campaign=post&utm_medium=web