Substrate

Because we aren’t committing to a roadmap, we aren’t setting expectations. And because we don’t set expectations, we don’t feel guilty when that great idea never gets any build time because we decided something else was more important.

All of these obstacles are your life, and it would be a shame to not be happy while experiencing each of them.

It’s okay to return to my baseline. It’s okay for my day to only contain eating, working, reading, and sleep, even if I want thirty other things, too

The momentum can’t build if it’s constantly derailed at the start. The climate crisis […] can essentially be what brings us all together to work towards a common and greater goal.

That last line is worth repeating: “Blogging is an essential tool toward meditating over an extended period of time on a subject you consider to be important.”

What Stan needs to realize is that a disciplined approach to making things is just one part of the puzzle. The other part is about simply living his life, and having the freedom to explore his surroundings and interests.

five Earth-months, which is actually nineteen heart-years You-mask

Dropbox mirror: https://www.dropbox.com/s/5qgb16jyf04r6d0/Ketch.pdf?dl=0

“emotional intelligence” has become an organizing principal for my moving through, and responding to the world. It’s become a prime characteristic by which I qualify who I want to be spending more time with.

Insane wealth doesn’t insulate children from the harshness of the world around them. Just because you’re rich doesn’t mean your life is going to be good, or even easy. The key to making any relationship last is making an effort. What does making an effort look like? Remembering things about people, reaching out to them regularly, letting them know you care. I’ve become a big fan of phone calls.

It may be quite hard to find a reviewer that both knows the math and can deal with the code.

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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.