Hi! Welcome to my notes.
The notes are a combination of things I’ve encountered during my studies, and things I find interesting, although the intersection is quite large :)
I write and organize notes myself, rather than taking the standard route of mirroring a specific course syllabus, or summarizing a textbook chapter-by-chapter.
As it turns out, Organizing Knowledge is quite difficult. By thinking about how to organize the notes, I am forced to acknowledge the deeper connections between subjects. This process of intentional organization has turned out to be just as important as the initial study.
Tell me where I should have fit the the following: Pareto Dominance.
In some scenarios, there are multiple objectives to optimize. In many such scenarios optimizing one comes at the cost of optimizing another.
A solution is said to dominate another if it meets two specific criteria:
- It is no worse than the other solution across all objectives.
- It is strictly better in at least one objective.
Note condition 2 exists solely to exclude equivalent solutions.
A solution is Pareto Optimal if there is no other solution that dominates it. The Pareto Front is the set of Pareto optimal solutions.
It is clear that one should pick a solution from the Pareto Front if given the choice, however deciding which solution to pick becomes a matter of tradeoff.
Another idea I keep coming back to: https://gemini.google.com/share/1c9239f205fe
A4 is great.
The A4 standard is part of the ISO216 international standard for paper sizes.
The “A” series is based on the unique mathematical ratio . A0 has an area of exactly one square meter. If you cut an A0 in half across its longest side, you get two A1 sheets that maintain the exact same proportions.
This process may repeat infinitely in both directions.