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Date : 1732225840990 - unknown on Apple WebKit
Mystery text : OFREU0lEMEJod0kgaSAgbG92ICB1IGV1LXByb3h5LnBva2V0dWJlLmZ1bg==
143 : true
236,412 Views • May 2, 2024 • Click to toggle off description
To buy me a coffee, head over to www.buymeacoffee.com/VisualProofs
Thanks!
For a wide-format wordless version of this geometric series dissection, check out
• Geometric Series: sum of powers of 1/...
This animation is based on a visual proof from Roger B. Nelsen in the February 2006 issue of Mathematics Magazine (doi.org/10.2307/27642904 or www.jstor.org/stable/27642904), page 60.
#manim #math #mathshorts #mathvideo #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #series #geometricseries #infiniteseries
To learn more about animating with manim, check out:
manim.community/
Views : 236,412
Genre: Education
License: Standard YouTube License
Uploaded At May 2, 2024 ^^
warning: returnyoutubedislikes may not be accurate, this is just an estiment ehe :3
Rating : 4.962 (179/18,744 LTDR)
99.05% of the users lieked the video!!
0.95% of the users dislieked the video!!
User score: 98.58- Masterpiece Video
RYD date created : 2024-10-25T07:52:21.115772Z
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403 Comments
Top Comments of this video!! :3
I almost had a heart attack when I read the first digits of the title
881 |
Take any digit N and then write the rational number 0.NNNNN...
This will always equal 1 in base (N+1).
117 |
Makes sense. In base 10, .99999999... = 1
678 |
Mathematicians will find a way to write something simple as some black magic
174 |
Why did I get reccomended this. I am far too dumb for this.
It looks and sounds cool though. GO MATH!
31 |
The beginning: of that's easy
The end:💀
193 |
Wow. You explained that really well.
7 |
We can also use sum of gp formula
28 |
holy sh*t, don't scare me like that, I almost had heart attack when I readed first half of title
7 |
yeah and 1.1111... in binary is 2
19 |
This is the concept I've been looking for. This will let me make new and useful mathematic tools. Thank you for this!
|
I’m taking a proofs class rn and stuff like this has never been more interesting
1 |
I loooooooooooooooooove these shorts 😍
3 |
i believe this is the best one so far
1 |
how are you editing this?, using what software?
10 |
Wait, I thought it's was equal to 1 over seven
Oh nevermind it's on base 8 not base 10
19 |
After watching these animations I feel my brain has been unclogged.
|
Thanks for sharing.
1 |
i freaking adore maths ❤
1 |
@p1xelat3d
6 months ago
So n being a digit
0.nnnnnnnn... = 1
in base n+1 ?
2.1K |