Stand-up Maths | Why do calculators get this wrong? (We don't know!) @standupmaths | Uploaded July 2020 | Updated October 2024, 5 days ago.
Check out Jane Street's programs and events: janestreet.com/join-jane-street/programs-and-events
These are all of the almost-π calculations I showed:
11^6 ÷ 13 ≈ (156158413/3600)π
17^5 ÷ 11 ≈ (366494029/8920)π
11^6 ÷ 17 ≈ (119415257/3600)π
19^9 ÷ 2^3 ≈ (65249503235207/5082)π
5^9 ÷ 3 ≈ (1226819353/5920)π
7^9 ÷ 19 ≈ (2623750469/3881)π
13^5 ÷ 7 ≈ (154266801/9137)π
21^6 ÷ 5 ≈ (27818908094/5095)π
23^9 ÷ 5^4 ≈ (4030701961529/4394)π
Sheena's tweet
mobile.twitter.com/Sheena2907/status/1129114614321618951
The reddit post
reddit.com/r/CasualMath/comments/bn0k9f/got_this_while_doing_some_calculations_why_does
Farey sequence
en.wikipedia.org/wiki/Farey_sequence
This is the 'best rational approximation' algorithm I used:
johndcook.com/blog/2010/10/20/best-rational-approximation
I've tested it on the Casio FX-83GT PLUS and Casio FX-991EX CLASSWIZ. Let me know what calculators you have checked!
CORRECTIONS:
- At 8:30 I say "13" when I mean "11". Ignore what I say: the on-screen number is correct!
- Let me know if you spot anything else.
Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset:
Alan Flett
Nikola Studer
Philippe von Bergen
Alan McNea
Derek Chandler
Jeremy Buchanan
Alan H.
Malcolm Rowe
Glenn Watson
Patrick Stover
Support my channel and I can make more videos:
patreon.com/standupmaths
And of course thanks to Jane Street who support my channel. They're amazing.
janestreet.com
Filming and editing by Matt Parker
Additional camera work by Lucie Green
That piano music is No.8 Requiem by Esther Abrami
All other music by Howard Carter
Design by Simon Wright and Adam Robinson
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com
US book: penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker
UK book: mathsgear.co.uk/products/5b9fa76f230ffa140094dc43
Nerdy maths toys: mathsgear.co.uk
A transcendental number is not the root of any integer polynomial!
mathworld.wolfram.com/TranscendentalNumber.html
Check out Jane Street's programs and events: janestreet.com/join-jane-street/programs-and-events
These are all of the almost-π calculations I showed:
11^6 ÷ 13 ≈ (156158413/3600)π
17^5 ÷ 11 ≈ (366494029/8920)π
11^6 ÷ 17 ≈ (119415257/3600)π
19^9 ÷ 2^3 ≈ (65249503235207/5082)π
5^9 ÷ 3 ≈ (1226819353/5920)π
7^9 ÷ 19 ≈ (2623750469/3881)π
13^5 ÷ 7 ≈ (154266801/9137)π
21^6 ÷ 5 ≈ (27818908094/5095)π
23^9 ÷ 5^4 ≈ (4030701961529/4394)π
Sheena's tweet
mobile.twitter.com/Sheena2907/status/1129114614321618951
The reddit post
reddit.com/r/CasualMath/comments/bn0k9f/got_this_while_doing_some_calculations_why_does
Farey sequence
en.wikipedia.org/wiki/Farey_sequence
This is the 'best rational approximation' algorithm I used:
johndcook.com/blog/2010/10/20/best-rational-approximation
I've tested it on the Casio FX-83GT PLUS and Casio FX-991EX CLASSWIZ. Let me know what calculators you have checked!
CORRECTIONS:
- At 8:30 I say "13" when I mean "11". Ignore what I say: the on-screen number is correct!
- Let me know if you spot anything else.
Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset:
Alan Flett
Nikola Studer
Philippe von Bergen
Alan McNea
Derek Chandler
Jeremy Buchanan
Alan H.
Malcolm Rowe
Glenn Watson
Patrick Stover
Support my channel and I can make more videos:
patreon.com/standupmaths
And of course thanks to Jane Street who support my channel. They're amazing.
janestreet.com
Filming and editing by Matt Parker
Additional camera work by Lucie Green
That piano music is No.8 Requiem by Esther Abrami
All other music by Howard Carter
Design by Simon Wright and Adam Robinson
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com
US book: penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker
UK book: mathsgear.co.uk/products/5b9fa76f230ffa140094dc43
Nerdy maths toys: mathsgear.co.uk
A transcendental number is not the root of any integer polynomial!
mathworld.wolfram.com/TranscendentalNumber.html
