ducttapecrown

9 ms·

91.
by ducttapecrown 3y ago
I literally saw the sin one yesterday, so I'll rewrite it!! Let e be an infinitesimal. We write st(x) for the function dropping the infinitesimal part of a number. Then f'(x) = st(1/e (f(x+e)-f(x))) Now use the angle sum iden
92.
by ducttapecrown 3y ago
Many famous mathematicians have quotes along the lines of "it's not the result that mattered here, it's the new method/trick that is cool!" and essentially it's because solving math problems requires a bag of t
93.
by ducttapecrown 3y ago
When I was a kid, one of my parents told me diff eq was a course they had not even gone to class for and passed, which set me up for disappointment in diff eq pedagogy for sure. It didn't help when I read this article, and then took so
94.
by ducttapecrown 3y ago
Because primes are about factoring and the number of 1's in a factorization is boundless and immaterial.
95.
by ducttapecrown 3y ago
Because many formulas associated to a prime have a factor of p-1, so it's trivial in the case of p=2. There's also other weird stuff like no negatives and no quadratic formula in characteristic 2.
96.
by ducttapecrown 3y ago
Back in my day, we used to put together neural nets by hand!
97.
by ducttapecrown 3y ago
Well, the way quaternions model rotation is by unit quaternions (the unit vectors in 4-space) acting on pure imaginary quaternions ai + bj + ck. The unit quaternions form a 3 dimensional space called the 3-sphere or SU(2). But 3 variables i
98.
by ducttapecrown 3y ago
Why is the Kakeya problem so popular?
99.
by ducttapecrown 3y ago
What language is that? AWK??
100.
by ducttapecrown 3y ago
The margin on this website is too small to write the proof, unfortunately.
101.
by ducttapecrown 3y ago
The existence of a set with infinite cardinality is one of the axioms of ZFC. https://en.wikipedia.org/wiki/Zermelo%E2%80%93Fraenkel_set_t...
102.
by ducttapecrown 3y ago
Well, all knowledge capable of modeling the natural numbers is incapable of proving every true statement, so in a sense there can be no universal axiom set.
103.
by ducttapecrown 3y ago
This one is true though.
104.
by ducttapecrown 3y ago
This was the content of the final lecture of a linear algebra class I took. It was magical to learn about the explicit formula for Fibonacci numbers found via eigendecomposition. One funny trick that brought some realism to the lecture: If
105.
by ducttapecrown 3y ago
Hardy's lament is a short popular essay about how the famous professional mathematician Hardy experiences math as art with the curiosity of a child, and yet the average school math education evokes a prison of rote exercise. It was wri
106.
by ducttapecrown 3y ago
Hey shkkmo, "isn't" isn't the right word here. In this context, the right word is subjective and everybody else understood what they're saying so the problem is with your perception of what their meaning was, not th
107.
by ducttapecrown 3y ago
A "moat" is the protection company A has against company B building a clone of company A's product. For example, YouTube has the set of people who have a habit of logging on to YouTube to watch content. A competitor has to co
108.
by ducttapecrown 3y ago
Texters and readers of Homestuck have been practicing for decades at appreciating badly written mail. I believe human-to-human knowledge transfers will still be fine :). I'm fucking scared of the incoming spam tsunami though!
109.
by ducttapecrown 4y ago
Any actually good version of a thing is built on the corpses of the previous bad versions though.
110.
by ducttapecrown 4y ago
You want remote babysitting?
111.
by ducttapecrown 4y ago
I'm an urban living fan, but do you have a source for that claim? It would be a wonderful argument to make!
112.
by ducttapecrown 4y ago
It is a magazine and not a journal of anthropology.
113.
by ducttapecrown 4y ago
It looks like a Voronoi decomposition. That is, each region is the set of points that are closest to the pixel with the given named color.
114.
by ducttapecrown 4y ago
https://artofproblemsolving.com/
115.
by ducttapecrown 4y ago
For anybody looking for such a story, I'd recommend Memories of the Fall. This one is written by a westerner, so I'd love more suggestions of good wuxia/xianxia written by Chinese authors (please link to a translation...).
116.
by ducttapecrown 4y ago
Read history books, like a biography of Julius Caesar. Read critical theory like the Communist Manifesto and read about the work of Foucault. Read critical history books like Why Nations Fail and A People's History of the United States
117.
by ducttapecrown 4y ago
Those people are not austerity hawks. They are austerity hawks if and only if the President is a Democrat. Otherwise they run budget deficits.
118.
by ducttapecrown 4y ago
Last year I drove up I5 and counted at least 20 triples!
119.
by ducttapecrown 4y ago
For those of us who don't understand engineering diagrams^1, could you write a summary of how it works? ^1: These are probably called schematics or something...
120.
by ducttapecrown 4y ago
An interesting way of looking at this is that it's the Iron Law of Bureaucracy at work. The Iron Law of Bureaucracy: In any bureaucracy, the people devoted to the benefit of the bureaucracy itself always get in control and those dedica

More ›