This was one way to be inside the world rather than outside looking into a bright window.

I’ve generally had a hard time accepting kindness from others due to fear of inconveniencing others This is definitely one of the pitfalls of working alone as an indie maker. It allows me to indulge that tendency and try to do everything myself rather than building relationships and learning that it's okay to depend on others.

All those things aren’t how we measure success—we only think of the big things like falling in love, finding a great job, making a beautiful thing. But cleaning the dishes and doing laundry is what really stands in the way of the big things and us.

When I talk about [underdeterminism], I jokingly give the example of where Twitter would be today if the service had been built strictly as a way to share information about baseball games.

A cross between a text message thread and a blog post about inter-generational conflicts, Boomer as a state of mind, cultural differences between Zoomers and Millennials, and what it feels like to grow up Very Online.

There is no clear winner, only an ever-changing list of survivors. Losing is just a failure to adjust and relate to the present context most directly.

In pandemic times, fears of waldenponding seem less applicable. It's not about building a new city or society, but a transient, protected retreat. (e.g. the Recurse Center). …It seems valuable to shield these sorts of endeavors from an environment that's increasingly hostile to knowledge work.

In the early 2000s social media sites like Facebook and Twitter weren’t commonplace yet. Even text messages, at ten cents each, were something to be rationed. For many teenagers the primary means of communication outside school was AOL Instant Messenger (AIM). So when it was announced in October that they were shutting down AIM after 20 years, I felt a wave of nostalgia for the messaging app of my youth.

For myself, when I read this many years from now. I woke up and Miranda had decorated the kitchen with giant 3-foot shiny golden balloons: 40! There was an incredibly lovely cake from Sparrow Bakery and cards that made me cry both from her and from Ruby. Ruby is just 2 years old. She’s so […]

This is the first part of a 3-part talk on p-adic numbers for advanced high school students. It is part of a series organized by the Berkeley mathematics circle. We define the 10-adic integers, which are similar to ordinary integers except their decimal expansion can be infinitely long. We show that one can do addition, multiplication, and subtraction with them. However they have some problems because it is possible for two nonzero 10adic integers to have zero product. We will see how to fix this in the next video. Links related to the video: Berkeley math circle: https://mathcircle.berkeley.edu/ Handout for talk: https://drive.google.com/file/d/1-UUjAqOIPK-PWUElAXWTdXJZVq7LFGAe Part 2 of talk: https://youtu.be/PeM5Hp0gWf4 Part 3 of talk: https://youtu.be/FWE3mA2otTU Further reading: Borevich and Shafarevich, Number theory, chapter 1.3 (advanced) J.-P. Serre, A course in arithmetic, chapter II (more advanced) N. Koblitz, p-adic numbers, p-adic functions, and zeta functions (very advanced, for anyone who is really ambitious)

The act of donut-eating has actually helped me feel like I’m accomplishing my career goals. […] I found that it resonated with others, especially young career-driven women who are routinely achieving goals and furthering their career but don’t take the time to note their own success.

A powerful Swift framework for evaluating mathematical expressions - GitHub - soulverteam/SoulverCore: A powerful Swift framework for evaluating mathematical expressions

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

Emily Riehl is rewriting the foundations of higher category theory while also working to make mathematics more inclusive.

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. ------------------ 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. ------------------ 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 LIKE A&B: http://on.fb.me/like-AB 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 ------------------------------------------------------------------------------ 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

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...

And so the best ridgelines are not only in conversation with the past, they are embedded with that conversation — like paleolithic braille.

People still want to learn physics, and the history of humanity.

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.”

Masks are the new leather jackets.

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.

"Back to life / back to reality"