Substrate

I think that’s what a hobby is supposed to feel like: not an obligation, but a state you’re always returning to. It doesn’t have to be expensive, it doesn’t have to be organized, it doesn’t have to depend on other people. It just has to be yours.

- Inline math, [$]...[/$] - Display math, [$$]...[/$$]

An adjunction is a way to relate two objects a and c, but not directly: C(a,c) Instead, we get two maps, (L)eft and (R)ight, which allow to relate them: C(L(a),c) A(a,R(c)) 1/n The means that there's a pair of arrows, one in each direction, that these two hom-sets are isomorphic. The first example given is currying: a function in two arguments is equivalent to a function of one argument returning another function in the remaining argument. 2/n We can write this like so: C(a✕b,c) C(a,c^b) where L = _✕b, and R = _^b.

that hunt is healing. ​ and you haven’t wasted any time. You just spent time learning. And now it’s time to learn something new.

Finally, I am concerned about the state of pure mathematics research. More and more, results depend on theorems whose proofs are unpublished or sketchy (or even, in places, incorrect). We rely more and more on unnamed teams of experts who have a sufficiently broad overview of an area to be able to tell us with confidence which papers can be trusted. Fashions change, people desert areas, and I am genuinely scared that we are leaving a mess behind in some areas. There are some theorems whose proofs might be difficult or impossible to reconstruct in 20 years’ time.

This past year has been spent trying to figure out how to stop chasing things endlessly – in work, in accolades, in likes, in what others have that I also want but that maybe I can’t quite explain why I want. To be confident in knowing that whatever comes, will come.

Explore this photo titled Cloud Painting by Dewang Gupta (@Dewang-Gupta) on 500px

Charlotte de Witte live DJ-set at Studio Brussel in Belgium on November 15th, 2019. // SUBSCRIBE: http://bit.ly/stubruscribe http://www.stubru.be http://www.facebook.com/studiobrussel http://www.instagram.com/stubru http://www.twitter.com/stubru

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Poems "Tell me about last night" and "Thirteen years and this is what you are to me now" by Augury Books founding editor Kate Angus.

Pre-order Leaving Laurel's debut album: https://anjunadeep.ffm.to/llll.oyd Buy/Stream 'sometimes it's scary... / Need Little, Want Less: https://anjunadeep.ffm.to/leavel.oyd Follow Anjunadeep New Releases: https://anjunadeep.co/newreleases.oyd Listen to Anjunadeep Radio 24/7: https://youtu.be/cQ95DvShk0s ---- “Something about that sound and house pulled us back together, giving us a new chapter as friends and collaborators”. We take a look behind the scenes as we welcome Leaving Laurel to the Anjunadeep fold. Their debut release 'sometimes it’s scary…but it’s still just you and me / Need Little, Want Less' is out now. ----- Follow Anjunadeep: Youtube: http://Anjunadeep.lnk.to/DeepSubcc Website: http://www.anjunadeep.com Facebook: http://www.facebook.com/anjunadeep Twitter: http://www.twitter.com/anjunadeep Spotify: https://Anjunadeep.lnk.to/NewReleasesYo/spotify Instagram: http://www.instagram.com/anjunadeep SoundCloud: http://soundcloud.com/anjunadeep Reddit: https://reddit.com/r/AboveandBeyond/ Twitch: https://www.twitch.tv/anjuna Discord: http://www.discord.gg/anjuna

For them the videos were a grace they didn’t have to earn. I like to tell them the struggle is the more interesting place to be: because a healthy confusion is where the real learning begins. In fact, failing a student CAN be done with grace, so that the student understands their dignity has not been tarnished even though their work has been justly assessed---just as a parent can discipline her child if the child knows her love is unconditional. Grace is precisely what makes hard conversations possible, and productive, between people. But you have to extend the grace first. One of my students said to me, so gently: “Should I be terminally ill later in life, I would want my son to act as you have.”

Our second open board meeting! To find out about the next one we do, follow me at gumroad.com/sahil/follow

Creativity is about connection—you must be connected to others in order to be inspired and share your own work—but it is also about disconnection. You must retreat from the world long enough to think, practice your art, and bring forth something worth sharing with others. You must play a little hide-and-seek in order to produce something worth being found.

Instead, it was damn fun. The low expectations I had for myself let me enjoy just being terrible, and building from there.

There’s a lot of talent pooled in Silicon Valley, and it’s hard not to look around at a lot of the companies here and feel that it’s a bit of a shame, a waste of potential. ​ There’s some conflation happening there, of moral value with economic value,

An aspiring research distiller lacks many things that are easy to take for granted: a career path, places to learn, examples and role models. Underlying this is a deeper issue: their work isn’t seen as a real research contribution. We need to fix this. ​ It’s entirely possible to build paths and staircases into these mountains.That is, really outstanding tutorials, reviews, textbooks, and so on. The climb isn’t something to be proud of. The climb isn’t progress: the climb is a mountain of debt.

You can tell that the poet misses his pet, misses this unique relationship in his life that—itself like a star—helped orient him on certain too-quiet nights when he was lost at sea. It is a marvelous demonstration of how to write about animals: by using specific memories, and not anthropomorphizing them to such a degree that they lose their essential dogginess or catness or mongooseness, but, instead, by recognizing their striking, sometimes sublime differences from us, alongside their similarities. ​ Sometimes, it is enough, as Neruda understood, to have someone look at us to remind us we exist, and that someone, or something, cares that we do. ​ listening with drooping eyes and the occasional blustery sneeze.) He was wonderfully just-there, an uncritical receptacle for my childhood loneliness.

To keep things brief: I recommend putting both your footnotes and your references at the end of the book, but separately.

I tried to come up with a gift idea that would light a maths majors heart without being pricey. So I decided to find a prime that looked like the face of the person that I had to gift.

I decided to try blogging on an iPad that has an attached magnetic keyboard. Other than rocking on my thigh because I’m in a comically oversized armchair, it seems like a pretty good set up and that my guesses for it were correct. Coffee shop...

Homotopy Type Theory as an Alternative Foundation to Mathematics - GitHub - mixphix/hott-thesis: Homotopy Type Theory as an Alternative Foundation to Mathematics

Ichi-go ichi-e (Japanese: 一期一会, lit. “one time, one meeting”) describes a cultural concept of treasuring the unrepeatable nature of a moment. The term has been translated as “for this time only,” and “once in a lifetime.” The term reminds people to cherish any gathering that they may take part in, citing the fact that any moment in life cannot be repeated; even when the same group of people get together in the same place again, a particular gathering will never be replicated, and thus each moment is always a once-in-a-lifetime experience. The concept is most commonly associated with Japanese tea ceremonies, especially tea masters Sen no Rikyū and Ii Naosuke.

ZIP codes have become part of our culture, organizing our locations and determining the flow of mail. There is an order and a structure to this mail system that is similar to that of many natural systems. Let's use the nearly-50-year anniversary of ZIP codes as an opportunity to examine their quantitative aspects.