diff --git a/Chapters/15-Appendix-A/INDEX.md b/Chapters/15-Appendix-A/INDEX.md new file mode 100644 index 0000000..11ec8f8 --- /dev/null +++ b/Chapters/15-Appendix-A/INDEX.md @@ -0,0 +1,22 @@ +# Appendix A + +## Laplace Operator[^khan-1] + +It is defined as $\nabla \cdot \nabla f \in \R$ and is equivalent to the +**divergence of the function**. Technically speaking it gives us the +**magnitude of a local maximum or minimum**. + +Positive values mean that we are around a local maximum and vice-versa. The +higher the magnitude, the higher (or lower) is the local maximum (or minimum). + +Another way to see this is as the divergence of the function that tells us whether +that is a point of attraction or divergence. + +It can also be used to compute the net flow of particles in that region of space + +> [!CAUTION] +> This is not a **discrete laplace operator**, which is instead a **matrix** here, +> as there are many other formulations. + +[^khan-1]: [Khan Academy | Laplace Intuition | 9th November 2025](https://www.youtube.com/watch?v=EW08rD-GFh0) +