A powerful Swift framework for evaluating mathematical expressions - GitHub - soulverteam/SoulverCore: A powerful Swift framework for evaluating mathematical expressions
Bill Thurston’s reply to the “what’s a mathematician to do?” MathOverflow question
I have to apologize because this is not the normal sort of question for this site, but there have been times in the past where MO was remarkably helpful and kind to undergrads with similar types of
Group theory and why I love [the cardinality of the Monster Group]
An introduction to group theory (Minor error corrections below)
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: https://3b1b.co/monster-thanks
Timestamps:
0:00 - The size of the monster
0:50 - What is a group?
7:06 - What is an abstract group?
13:27 - Classifying groups
18:31 - About the monster
Errors:
*Typo on the "hard problem" at 14:11, it should be a/(b+c) + b/(a+c) + c/(a+b) = 4
*Typo-turned-speako: The classification of quasithin groups is 1221 pages long, not 12,000. The full collection of papers proving the CFSG theorem do comprise tens of thousands of pages, but no one paper was quite that crazy.
Thanks to Richard Borcherds for his helpful comments while putting this video together. He has a wonderful hidden gem of a channel: https://youtu.be/a9k_QmZbwX8
You may also enjoy this brief article giving an overview of this monster:
http://www.ams.org/notices/200209/what-is.pdf
If you want to learn more about group theory, check out the expository papers here:
https://kconrad.math.uconn.edu/blurbs/
Videos with John Conway talking about the Monster:
https://youtu.be/jsSeoGpiWsw
https://youtu.be/lbN8EMcOH5o
More on Noether's Theorem:
https://youtu.be/CxlHLqJ9I0A
https://youtu.be/04ERSb06dOg
The symmetry ambigram was designed by Punya Mishra:
https://punyamishra.com/2013/05/31/symmetry-new-ambigram/
The Monster image comes from the Noun Project, via Nicky Knicky
This video is part of the #MegaFavNumbers project: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo
To join the gang, upload your own video on your own favorite number over 1,000,000 with the hashtag #MegaFavNumbers, and the word MegaFavNumbers in the title by September 2nd, 2020, and it'll be added to the playlist above.
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These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
This next project might take one year, five, or twenty, but it is not you. You are a superset of what you do, not a subset. Narratives based in past behavior are by definition out of date. Sometimes allow yourself to just be open to possibility of the next moment being different. How does the story change in this moment? The key to talent development of yourself and others: propulsion off cliffs with parachutes one size too small. Sometimes you land hard but your wings build muscle.
Using Twitter the other day, finding myself sucked into a far-off event that truly does not matter, it occurred to me that social media is an orthographic camera.
Gracie, I can’t reach out to you online, but this is my response as a mathematician. I hope it helps someone. These kinds of questions you are asking are what drive us as a profession. It doe…
and while you may enjoy being a specialist or a generalist for some time, you never really know when your situation could change and when circumstances may warrant otherwise. Or, when you might simply feel like trying something new.
Subscribe: http://bit.ly/AandBSubscribe
iTunes: http://bit.ly/ab-ygtg-remixes2 Beatport: http://bit.ly/ygtg-r-bp
CD: http://bit.ly/ygtg-CD Group Therapy: http://bit.ly/gt-CD
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Featuring the distinctive vocals of Zoë Johnston, "You Got To Go" is the latest single to be taken from Above & Beyond's critically acclaimed second artist album "Group Therapy" -- described by Mixmag as "the biggest artist album of the year".
Following in the footsteps of Above & Beyond's BBC Radio 1 playlisted singles "Sun & Moon" and "Thing Called Love", the more optimistic "You Got To Go" is a song about seizing the moment and taking control of the opportunities in front of you.
Inspired by Kyau & Albert's energised club remix of the original album version, the A&B vs. K&A Radio Edit combines the melodic riff-driven energy of the Kyau & Albert remix with a more radio-focused approach - capturing the song's beauty and orchestral touches perfectly.
The release package will also include a brand new club mix from Above & Beyond themselves, the high-energy Kyau & Albert remix, two contrasting remixes from the legendary MJ Cole and an organic tech-house version from upcoming duo Dusky.
There are DJs who can rock a party, a club, a festival. And there are acts that can write songs that will bring out the goose bumps in you. But there's only one band that can do both: Above & Beyond.
For more information about Above & Beyond, the full Bio and to listen to the radio show, please visit:
aboveandbeyond.nu
anjunabeats.com
facebook.com/aboveandbeyond
twitter.com/aboveandbeyond
itunes.com/aboveandbeyond
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Above and Beyond Group Therapy BBC Radio 1 One BBCR1 Trance Around The World worldwide Sun & Moon Richard Bedford Euphonic Tri-state Road Trip Thing Called Love Fans Club Dance Dans Dansa Danza Music Música Muzik House музыка musik Girls Tjejer niñasfilles Progressive progresivo DJ Mix Club klubb Disco Discotheque disk диск Record registro Official Track Release Trance Kicks Vocal Vocalist Instrumental International USA 2011 Rave Party partido parti FESTA Fiesta Night Out Anthem Summer Miami Ibiza Electro Electronic Electronica Электро electrónico Celebration Break Carnival Dub Remix Quality HD High Definition Pop Real London Britain UK Video
Finding out if a sequence of digits is a “numpad path”
I noticed that several of my old credit cards have verification codes which have an interesting property which I'll call "numpathable".
A numpad is a graph that looks like this:
7 - 8 - 9...
I’d never considered that adaptation was a serious option, until we started talking about it like it was a tangible problem and not a nebulous threat. Trying to find a pathway towards the source of pain is a lot more empowering than pouring your energy into being bitter over someone else’s success.
Think about blogging for a second: the fact that a list of posts is ordered chronologically by publication date, by default, is a bug in our incrementally-correct worldview. Blogging tools don't create any incentive to go back and edit previous ideas or posts. Or, at the very least, the default ordering has a de facto side effect of fewer people being aware of revisions or reversals to previously-published ideas.
“One of the few positive effects of these scary times is the increased interest in skateboarding. It’s been uplifting to see so many learning to skate in their “downtime.” I believe they’re in pursuit of the same feeling this Ukrainian girl got when she landed her first kickflip.”
So the optimal thing for you to do, whether you’re an open source software developer or a Twitter armchair analyst, is to figure out your specialty zone that’s simultaneously useful, but unique – and then homestead it. Establish and cultivate it, like a garden or a plot of land, that you’re tending for the communal benefit of everyone. People come to associate that little plot of land with you specifically, and think of you whenever they go near it.
Buy/Stream Jon's new album 'Phoenix': https://anjunadeep.co/phoenix.oyd
Buy/Stream 'Lion': https://anjunadeep.ffm.to/lion.oyd
Listen to Anjunadeep New Releases: https://anjunadeep.co/newreleases.oyd
Discover the Anjunadeep Discography: https://anjunadeep.co/discog.oyd
Listen to Anjunadeep Radio 24/7: https://anjunadeep.co/radio.oyd
Jon Gurd invites us to his home studio in Portsmouth to talk through his early influences, creative process and his memories headlining superclubs. Jon Gurd's 'Lion' is out now.
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DJ and producer Jon Gurd releases his ten-track LP ‘Lion’ today on Anjunadeep. The album release comes after four singles, which have seen support from the likes of electronic heavyweights such as Solomun, Stephen Bodzin, Alan Fitzpatrick, Adriatique, Gorgon City, and Shadow Child.
A respected selector and producer, Jon came through the UK underground in the early 2000s as resident DJ at the legendary Slinky in Bournemouth, warming up for the likes of Mauro Picotto and Paul Van Dyk. His early productions were championed by Paul Woolford, Sasha, Lee Burridge, James Zabiela, and Sander Kleinenberg, and Jon soon found himself travelling the world performing alongside the artists he’d been opening for not long before.
His burgeoning DJ career was put on hold in 2010 when Jon went through two life-changing experiences - the suicide of his older brother, and his young son’s diagnosis of severe epilepsy.
“These two events completely changed my motives for making music, and made me wonder if I was to even carry on doing it at all”.
After a hiatus, Jon’s music became faster and darker, described by Resident Advisor as “jet-black techno”. He collaborated with Alan Fitzpatrick and Reset Robot, and won support from the likes of Adam Beyer, Loco Dice, Scuba, Nicole Moudaber, and Pan-Pot.
Following another break from music, Jon released an EP on Sasha’s Last Night On Earth imprint, which he cites as a transformative milestone, which led him to create ‘Lion’.
“I was extremely fragile, trying to piece my life back together after what you could probably describe as a complete nervous breakdown, not sure of my sound or what I was trying to achieve, but was just going with the feeling... Getting that EP signed kind of made me sit up and take notice.
It felt as though a clear path was forming. This led me to make the album Lion, and when I look back on my career in many year’s time maybe releasing Lion on Anjunadeep will be the big milestone, let’s see. It certainly feels as exciting!”
Written in late 2019, and inspired by themes of loss and rebirth, ‘Lion’ is a deeply personal album born out of a tumultuous period that has shaped Jon’s life.
“It felt like a release of emotion when writing it. It’s about exploring the emotions that we go through as humans… the emotions that come and go, our place in the universe, being grateful for being here, spreading love and helping people get through tough times.”
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In support of Jon's son, Jon and Anjunadeep are raising money for UK charity KIDS. KIDS provide emotional and practical support to over 13,500 disabled children, young people and their families across the UK.
You can donate to Jon’s campaign via the following two options:
1. https://www.justgiving.com/fundraising/jongurd
2. Text KIDSJONG (amount) to 70085 (e.g : KIDSJONG 10 to 70085 to donate £10)
Texts cost donation amount plus one standard rate message
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London-based Penelope’s reputation as a skilled selector has seen her grace the decks at Printworks, Warehouse Project, and Lost Village Festival over the past couple of years. As resident DJ for lead
Lauren meeting Vice President Joe Biden, 2019. Here’s a little story behind this photograph of my wife and Joe Biden During the Democratic primary season my wife and I attended a number of ev…
It must have been a day of the purest pain and sadness, yet at some apparently forgettable moment, the horror went away, and now he’s joking around and it’s a normal day again. In this sense, time functions as a kind of true alchemy — it can dissolve any experience, no matter how permanent it seems as it’s happening, and replace it with another. sunny moments in the backyard in which nothing seems to be wrong.
But when I looked at the other members of the tent on display Tuesday night, I felt real solidarity for the first time in years. The Dems might always be in disarray: sloppy, unwieldy, corny, off message. But the alternative — and the homogeneity, compromise, and willful blindness that accompanies it — doesn’t feel like the future. It feels, overwhelmingly, irrefutably, like the past we’ve already left behind.
But let’s go back to my original point. The divide between Silicon Valley and the rest of the country is wider it has ever been. Half my Twitter is people looking to angel-invest their millions in apps, and the other is reporters documenting the latest lows America has hit. This doesn’t bode well for the country, and will become a political and social flashpoint sooner than later. It surely is not sustainable. If the tech industry wants to enjoy its relative welcome, it should do more.
Bobby McKenna on crafting Vine’s ‘wierd’ and wonderful design
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