vault backup: 2025-10-20 16:48:59

stochastic-branch-takeoff.md

@@ -34,3 +34,31 @@ determine relative impact of factors
 * Voronoi diagrams
 
 <!-- TODO: link paper on procedural generation of single family homes -->
+
+## Average Distance Given Area
+
+Holding area constant,
+average taxicab distance between points
+varies greatly with the aspect ratio of the space.
+Weighted by a probability distribution
+an average length and confidence could be given for any known area.
+
+I remember seeing a video on machine learning(?)
+that described a class of functions(?)
+used to change(?) a function with infinite range.
+Something like this:
+
+![[function-example.excalidraw.md]]
+
+This is preferable to a floor-ceiling piece-wise function
+since it remains differentiable.
+
+Maybe suckerpinch's latest video on the Rupert property
+or 3blue1brown's on Euler's Formula.
+
+Actually I think its neither of those,
+but a more general ML video by another creator
+that used mango cultivar classification by dimensions
+as an example.
+
+