Original upload date: Wed, 22 Feb 2023 00:00:00 GMT
Archive date: Sun, 10 Nov 2024 20:37:00 GMT
Though neither the arc length of the Bernoulli Lemniscate nor the area of a Squircle can be expressed in closed form using elementary functions, it is quite remarkable that there exists a beautiful re
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lation between them.
The 'why' part of it takes us to the area of Lemniscate elliptic functions, a great introduction to elliptic functions in general.
Unlike my other videos, this one is made in Geogebra.
Hope you enjoy it and please do share your comments on improving any aspect of the video. Thank you.
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Act of Learning is an YouTube Channel about exploring some of the mind blowing ideas in math. More importantly, rather than just solving problems, we try to understand the underlying concepts using the problems merely as examples.
The name of the channel is an excerpt from a quote by Gauss, the Prince of Mathematics and my second favorite of all mathematicians. He said "It is not knowledge but the act of learning that grants the greatest enjoyment". 100% correct.
You know what YouTube is like. So please Like, Share and Subscribe the Channel, and show us your continued support.
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Some of Channels that inspired me to do something of my own list in alphabetical order:
3Blue1Brown - https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw
Mathologer - https://www.youtube.com/channel/UC1_uAIS3r8Vu6JjXWvastJg
Numerphile - https://www.youtube.com/channel/UCoxcjq-8xIDTYp3uz647V5A
Stand-Up Maths - https://www.youtube.com/channel/UCSju5G2aFaWMqn-_0YBtq5A
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This video (hopefully all my videos in the future) was made using Manim created by '3b1b' Grant Sanderson. Here are some of the links that you will find useful in learning Manim.
Github - https://github.com/3b1b/manim
Talking Physics - https://talkingphysics.wordpress.com/2019/01/08/getting-started-animating-with-manim-and-python-3-7/
Theorem of Beethoven - (i) https://www.youtube.com/channel/UCxiWCEdx7aY88bSEUgLOC6A (ii) https://github.com/Elteoremadebeethoven