Substrate

I think doing math professionally can be stifling as it can feel like you’re expected to know everything while staying collected. This blog is my outlet to do my best to grow as a mathematician while giving myself and others permission to be wrong, ignorant, and emotional about math!

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi What happens when you multiply shapes? This is part 2 of our episode on multiplying things that aren't numbers. You can check out part 1: The Multiplication Multiverse right here https://www.youtube.com/watch?v=H4I2C3Ts7_w Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com And discuss the episode further over on reddit at https://www.reddit.com/r/PBSInfiniteSeries/ Previous Episode The Multiplication Multiverse | Infinite Series https://www.youtube.com/watch?v=H4I2C3Ts7_w In our last episode, we talked about different properties of multiplication: associativity and commutativity are the most familiar, but they’re just two of many. We also saw it’s possible to multiply things that aren’t numbers, and in that case we may not have... associativity, for instance. But that’s not a bad thing. In fact, it’s a beautiful thing! References:: More on the associahedra: http://www.ams.org/samplings/feature-column/fcarc-associahedra http://www.claymath.org/library/academy/LectureNotes05/Lodaypaper.pdf https://arxiv.org/pdf/math/0212126.pdf More on multiplying non-numbers: http://www.math3ma.com/mathema/2017/11/24/multiplying-non-numbers An introduction to operads: http://www.math3ma.com/mathema/2017/10/23/what-is-an-operad-part-1 http://www.math3ma.com/mathema/2017/10/30/what-is-an-operad-part-2 Some applications in math and physics: https://arxiv.org/abs/1202.3245 http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.22.2871&rep=rep1&type=pdf http://bookstore.ams.org/conm-227 http://www.springer.com/us/book/9780817647346 Richard Stanley’s book on the Catalan Numbers: https://www.amazon.com/Catalan-Numbers-Richard-P-Stanley/dp/1107427746 Written and Hosted by Tai-Danae Bradley Produced by Rusty Ward Graphics by Ray Lux Assistant Editing and Sound Design by Meah Denee Barrington Made by Kornhaber Brown (www.kornhaberbrown.com) Thanks to Matthew O'Connor and Yana Chernobilsky who are supporting us on Patreon at the Identity level! And thanks to Nicholas Rose and Mauricio Pacheco who are supporting us at the Lemma level!

the more I try to focus on what I genuinely love. The stuff that really nourishes and feeds me.

I say ‘feasibly’ because often the upper end of career ladders for Independent Contributors (ICs) could be paraphrased as “we’ll know it when we see it”, which can leave those who haven’t sufficiently proven “it” in a frustrating limbo. ​ I’ve worked very hard to become an engineer and I want to stay here. ​ Developing prototypes to further explore and support ideas that come from that research.

So even a little familiarity—the amount you gain from one steely sit-down with the thing—can dislodge major chunks of fear. For good.

I felt joy, and a familiar pang of shame that comes from realizing you’ve moved too fast to cherish what’s in front of you. ​ The truth is, I don’t always want this kind of life. ​ I wish slowing down didn’t feel like a luxury.

The thing I try and tell myself every week: Just because people don’t want to hear it doesn’t mean it’s not true. And just because this work is relentless doesn’t mean it’s not worth it. ​ It’s difficult to explain that patriarchy means rule and control by men, power held by men, and the generalized idea that men are more valuable and important — and that that can be true even if some women have some power. All sorts of people, and not exclusively men, can be involved in its preservation; the vast majority of the time, they’re not aware they’re doing so. Institutions help sustain patriarchy, but so do individuals and traditions and clothing norms and religious beliefs and health insurance benefit plans and air conditioning standards.

So the assertion that technology companies can’t possibly be shaped or restrained with the public’s interest in mind is to argue that they are fundamentally different from any other industry. They’re not. ​ an echo of the very ethos that founded America: progress at all costs. ​ and it’s time to question what “progress” actually means.

A beauty and order that language fails to describe but math, art and music do a better job of conveying. That against all odds, I - a collection of atoms consisting mostly of empty space - has the chance every single day to experience and explore this incredible universe. ​ And that the only logical thing in the face of all these realizations is to enjoy, celebrate, and try my best to preserve that beauty.

Forming the set of equivalence classes is called “modding out” or “quotienting by” the equivalence relation.

Listen on streaming: https://Anjunabeats.lnk.to/ABGT350ABDeep Stream us on Spotify: https://Anjunabeats.lnk.to/AboveBeyondSpotifyYo Subscribe to our channel for more ABGT350 set replays: https://lnk.to/YTA_B Follow A&B on Spotify for full set replays: https://anjunabeats.lnk.to/AboveBeyon... Live dates: http://po.st/ablive Subscribe to our channel: https://lnk.to/YTA_B Above & Beyond present Group Therapy 350 live from Prague. Our deep warm up set, recorded on Thursday, October 10 2019 with Anjuna HQ and the #ABGT350 crew. With thanks to Nomobo and the whole team at United Music Events. Tracklist: [00:00] 1. Above & Beyond ‘Group Therapy Intro’ [00:48] 2. Andrew Bayer feat. Alison May ‘Immortal Lover’ [Qrion Remix] [05:46] 3. Above & Beyond 'Homecoming' [Enamour Remix] [10:38] 4. Eli & Fur 'Into The Night' [16:16] 5. Above & Beyond and Seven Lions feat. Opposite The Other ‘See The End’ [Avoure Remix] [20:28] 6. Marsh ‘Eu Phoria’ [24:39] 7. Nox Vahn ‘Brainwasher’ [29:22] 8. Ben Böhmer & Monolink ‘Black Hole’ [34:31] 9. Joseph Ray ‘Room 1.5’ [41:12] 10. The Midnight ‘Kids’ [PROFF Remix] [45:45] 11. The Dualz ‘Your Eyes’ [50:53] 12. Yotto ‘Hyperlude’ [Dosem Remix] [54:45] 13. Tinlicker ‘The Walk’ Above & Beyond: ABGT300 Deep Warm Up, Hong Kong - https://youtu.be/O9F_drLehU0 Above & Beyond: ABGT250 Deep Warm Up, The Gorge - https://youtu.be/rkqnuI1SxBs Above & Beyond: ABGT450 Deep Warm Up, London - https://youtu.be/IrzO9GqS8BY Watch ABGT400 London: https://youtu.be/Tk38QvbUHBw Watch ABGT350 Prague: https://youtu.be/XlndmZ-4mc8 Watch ABGT300 Hong Kong: https://youtu.be/Oi0sVRZ_49c Watch ABGT250 at The Gorge: https://youtu.be/CMXiCR2gQw0 Watch ABGT200 Amsterdam : https://youtu.be/cS6Hi2Avoww Watch ABGT150 Sydney: https://youtu.be/DDQWoe8AoUs Watch ABGT100 New York City: https://youtu.be/10utJGbQQLs Live Dates: http://po.st/ablive Website: http://po.st/wbab Facebook: http://po.st/fbab Twitter: http://po.st/twab Soundcloud: http://po.st/absc Instagram: http://po.st/abins iTunes: http://po.st/abitunes Google+: http://po.st/abgopl #ABGT350 #Anjunadeep #AboveandBeyond

of work I poured into our course blog. Every student contributed two posts to the blog, and I gave multiple rounds of detailed feedback on all twelve posts, learning a lot from the students in the process. ​ and especially not Jekyll, since having a working Ruby environment is the hardest problem in computer science

I love functional programming, […] and developing intuition behind complex topics. Thus G [some group] is a category with one object, in which every arrow is an isomorphism.

Imagine the pressure of having to top each successful thing you do. This thinking assumes that you must be constantly on top, not only against your peers but also against your past self. Even worse, this thinking assumes that if you cannot win then you must stop playing. But what about the joy of learning, the quiet glory of just making things and sharing them without expectation? No, when your time is up you’re free to go. At the end of the day, the only thing perfect is a blank page, I think there is something inside me and I want to find it.

A Swift Continuation Monad · GitHub

Everyone knows you value them and their work, primarily because you regularly tell them so. You cultivate a culture of giving credit where and when it’s due.

The Hippocratic License (HL3) is an ethical source license that specifically prohibits the use of open source software to violate universal standards of human rights.

when the evening is spread out against the sky ​ Poetry is language at its best. ​ You have a book open on your lap but you’re not reading it.

There are lots of reasons, but a main one is that no project goes on endlessly, or should. It can’t be leg day forever. It’s been such an absolute joy to stay up late at night at the sleepover and tell secrets with you.

Optics can be thought of as a generalization of functions. A Lens is kinda like a function from A to B, and similarly for Prism.

Long enough to make me wonder, am I even an athlete anymore? ​ At its core, I think being an athlete is about commitment to pursuing what your body and mind are capable of.

It is my hope that this will turn out to be a massive success and will lead to closure of other cross streets like 23rd, 34th, 42nd, 57th, 79th, 86th, and 96th.

Lately I’ve had to call on words for little shots of strength. Some use tequila; I use poems short enough to memorize. Their lines float around in my head, counteracting the insidious words t…

And the cat went back to being our pet. ​ and cats and books were my best friends when I was growing up. ​ These questions—along with that of how the cat beat us home—are still unanswered. Another memory of my father is this: ​ I should explain a little about my father’s background. ​ Things he never could have written in his letters, or they wouldn’t have made it past the censors, he put into the form of haiku—expressing himself in a symbolic code, as it were—where he was able to honestly bare his true feelings. ​ Yet he must have felt a compelling need to relate the story to his son, his own flesh and blood, even if this meant that it would remain an open wound for both of us. ​ is breathe the air of the period we live in, ​ I understand all the more now why he closed his eyes and devoutly recited the sutras every morning of his life. ​ Still, that solitary raindrop has its own emotions, its own history, its own duty to carry on that history. Even if it loses its individual integrity and is absorbed into a collective something. Or maybe precisely because it’s absorbed into a larger, collective entity.

A story about the distances technology fails to bridge.

It’s not a political movement. It’s not even some coordinated, nicely branded “techlash.” It’s just regular people, watching inaction and outcomes, who are fed up. ​ I know Zuck’s persona of nerdy programmer has long disappeared, but the level of NFL Wide Receiver cockiness is still jarring to hear. but the anger is not the problem to solve, it’s the lung cancer.