In the beginning — before the 1920s, these words had no place in our scientific understanding of the universe. Astronomers believed the cosmos to be eternal and unchanging. We knew of only one galaxy and a few million visible stars, and this was the scope of our observable universe.
Then astronomer Edwin Hubble observed, courtesy of redshift, distant galaxies speeding away from each other and formulated Hubbles Law to explain the universes uniform expansion. Redshift just refers to a distant celestial bodys shift toward longer, or redder, wavelengths, compliments of the Doppler effect.
For Pi Day 2016 I tried to calculate π by hand, using an infinite series. It goes ok.
Before you even start:
— Yes, I know π Day requites writing the date MM/DD. By objective measures: the wrong way. I dont care. My love of π is stronger.
— My opinion of Tau is a matter of public record: youtu.be/ZPv1UV0rD8U
CORRECTIONS:
— At 17:23 it should be π/4 not 1/π. That was contamination from the next graphic. (First spotted by Najeeb Sheikh and Jake Trookman.)
A lower bound on the length of the shortest superpattern
Anonymous 4chan Poster, Robin Houston, Jay Pantone, and Vince Vatter oeis.org/A180632/a180632.pdf
Robins tweet:
«A curious situation. The best known lower bound for the minimal length of superpermutations was proved by an anonymous user of a wiki mainly devoted to anime.» twitter.com/robinhouston/status/1054637891085918209
LKH: Lin-Kernighan heuristic for solving the traveling salesman problem akira.ruc.dk/~keld/research/LKH/
CORRECTIONS
— Not yet. Let me know if you spot anything!
Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset:
Lucie
Thomas Hodnemyr
Euler
Jordan Scales
Håkan Johansson
Most of the time, the maths in our everyday lives works quietly behind the scenes, until someone forgets to carry a 1 and a bridge collapses or a plane drops out of the sky.
Subscribe for regular science videos: bit.ly/RiSubscRibe
Matt Parker is a stand-up comedian and mathematician. He appears regularly on TV and online: as well as being a presenter on the Discovery Channel. His YouTube videos have been viewed over 37 million times. Previously a high-school mathematics teacher, Matt visits schools to talk to students about maths as part of Think Maths and he is involved in the Maths Inspiration shows. In his remaining free time, Matt wrote the books Things To Make and Do in the Fourth Dimension and Humble Pi: A Comedy of Maths Errors. He is also the Public Engagement in Mathematics Fellow at Queen Mary University of London.
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Jargon Buster:
URY — University Radio York
YSTV — York Student Television
Sailors Lament by Audionautix is licensed under a Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/)
Artist: audionautix.com/
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Как простейшие организмы помогают изучать крупномасштабную структуру Вселенной?
Новые данные о том, почему Бетельгейзе потемнела на самом деле. Откуда мы знаем о железных дождях на планете Wasp-76 b? Обо всем этом и многом другом в юбилейном пятидесятом выпуске Астрообзора.
Как думаете, что может быть самого необычного в космосе? Планета, где никогда не заканчивается ночь? Или, может быть, ядерная паста? Нет, это не имеет никакого отношения к спагетти!
Давайте же отправимся в путешествие по космосу и узнаем чуть больше о разных удивительных явлениях, которые скрываются в его загадочных глубинах!
