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Conway and Doyle can divide by three, but I can't

48 points| worez | 2 years ago |arxiv.org

7 comments

order

ganzuul|2 years ago

Perhaps doing the thing with a compass and straightedge would feel therapeutic at this point.

onenukecourse|2 years ago

Im sure this is about some higher end math than I dont understand, but in day-to-day mental math just

1. multiply by 3

2. divide by ten

3. If more accuracy is needed, add 10% to the answer.

Of course, you can always add up all the digits and see if it's divisible by 3. If not, add/subtract to make it divisible by three, divide it and then correct for the borrowing.

jprete|2 years ago

It’s a set theory problem, calling it division by three in the paper is a bit of a joke.

montroser|2 years ago

4. If even _more_ accuracy is needed, add another 1%

5. If even _more_ accuracy is needed, add another 0.1%

5. If even _more_ accuracy is needed, add another 0.01%

and keep going ad nauseam!

philipswood|2 years ago

I keep seeing {𝐴𝑖 }π‘–βˆˆN

as "alien".

bitwize|2 years ago

Dividing by 3 is hard, man.

While an engineer at Xerox, my father modified an electromagnetic calculator to turn it into a form of stored program computer (similar in form and function to the Olivetti Programma 100). While experimenting with the calculator he found a way to crash it: divide 10 by 3.

He got a patent for his electromechanical computer invention, for which Xerox paid the standard nominal fee of $1, but it went nowhere.