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zmVault/stochastic-branch-takeoff.md
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---
id:
aliases: []
tags:
- destiny/fleeting
- topic/construction/electrical
- topic/estimating
- type/idea
- authorship/original
title: Stochastic Branch Takeoff
---
# Stochastic Branch Takeoff
generate a BOM from point loads distributed in a space.
```yaml
- x: 302.84
y: 2364.47
kW: 5.3
voltage: 277
phases: 1
...
```
determine relative impact of factors
* allowable voltage drop
## Methods
> [!cite] Reddit u/mightofmerchants
> ![[spatial-sampling.gif|300x300]]
* Poisson disc sampling
* Delunay triangulation
* 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]]
$f'(x)$ is a **sigmoid** function.
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.