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An exploration of computational complexity in tally clustering

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Tally Clustering

An exploration of computational complexity in tally clustering.

Introduction

How do you keep a running count of things in writing? It might be about keeping track of how many rounds you've knitted, how many cups of office coffee you've had, or how many red cars have gone past.

Wikipedia has some information on it and there's many ways to do it. The most common method I've seen is the one where you count by adding vertical lines unless its a multiple of five, then you add a horizontal or diagonal bar to cover the previous four.

place image here of "ordinary" tally (maybe also the others a la wiki)

Other methods listed on the Wikipedia page includes prettier systems but that are functionally the same, either clustering tallies in fives or tens.

Another approach is roman numerals...

place image here of roman tallying

Another approach is normal counting, written down. With this method you write the full number of the count at each update. This means that you don't use any of the existing writing on the paper. This means that it almost does count as a tally system but I'll include it anyway since its the way that computers count.

place image here of regular counting as tally

License

Copyright 2023 Jonathan Lindegaard Starup

Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at

http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.

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