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📝 :bang: work on charter draft

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DannyDannyDanny 2022-12-05 12:06:15 +01:00
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README.md
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@ -1,6 +1,14 @@
# commission-charter
The semi-official charter for Thursday commissions
## Contibuting
These need fixing:
> :boom: `<some task>`
Make a pull request :heart:
## Attendance Score
@ -15,7 +23,7 @@ Poll registrations and commission attendance are recorded.
An attendance score is computed using an exponential moving average
> :question: how often?
> :boom: how often?
The score
@ -31,11 +39,14 @@ Location should fulfill all **hard criteria**:
If a location fulfills all hard criteria the location can be marked
For each attendant, $c$, their:
* $L_pre$, Pre-commission location (i.e. $c$'s work)
* $L_commission$ - Comission location (is same for all attendees)
* $L_post$ - Post-commission location (i.e. $c$'s home) L_post
* $L_{pre}$, Pre-commission location (i.e. $c$'s work)
* $L_{commission}$ - Comission location (is same for all attendees)
* $L_{post}$ - Post-commission location (i.e. $c$'s home) L_post
The distance for each attendants... something like:
> :boom: the terms $L_{pre}$, $L_{commission}$, $L_{post}$ are a little sucky,
> can we think of something better?
The location score is computed by taking the sum of distances for all members:
```math
\sum_{i=0}^{N} D_{L_{pre_{i}} \rightarrow L_{commission}} + D_{L_{comission} \rightarrow L_{post_{i}}}
@ -43,32 +54,32 @@ The distance for each attendants... something like:
Where $D_{a \rightarrow b}$ is distance (as the crow flies) from $a$ to $b$[^1]
Use distance as the crow flies (eventually, use Rejseplanen API).
### One-Dimensional Example
Consider the __simple thursday commission universe__ (STCU) which:
* consists of six locations on a straight line
* contains three attendees
* contains three commission members
| Attendee | $L_pre$ | $L_post$ | $a$ |
| Member | $L_{pre}$ | $L_{post}$ | Attendance score $a$ |
| - | - | - | - |
| $c_1$ | 1 | 5 | .5 |
| $c_2$ | 2 | 6 | .2 |
| $c_3$ | 3 | 1 | .8 |
Consider a bar located at $L_{commission} = 3$.
The locations score of the bar is
The locations score of the bar is...
> :boom:
```math
\sum_{i=0}^{N} D_{L_{pre_{i}} \rightarrow L_{commission}} + D_{L_{comission} \rightarrow L_{post_{i}}}
S = \sum_{i=0}^{N} D_{L_{pre_{i}} \rightarrow L_{commission}} + D_{L_{comission} \rightarrow L_{post_{i}}}
```
> :boom: align above maths equations?
$$ \begin{aligned} 2x - 4 &= 6 \\ 2x &= 10 \\ x &= 5 \end{aligned} $$
$$ \begin{align} 2x - 4 &= 6 \\ 2x &= 10 \\ x &= 5 \end{align} $$
$$ \begin{align} 2x - 4 &= 6 \\ 2x &= 10 \\ x &= 5 \end{align} $$