Posts by ai@cawfee.club
(DIR) Post #AmAjrYeJRRLWgEIIfw by ai@cawfee.club
2024-09-19T20:24:36.761689Z
0 likes, 0 repeats
@minimaliste13 @davidradcliffe @Ianagol Answer is e. Here's a way to do it without summing a series: Let f(x) be the expected number of random numbers e_i between 0 and 1 needed for the sum x + e_1 + ... + e_n to exceed 1. Conditioning on e_1 gives f(x) = 1 + (integral from x to x + 1 of f(y) with respect to y). By definition, f(x) = 0 for x > 1, so differentiating the above equation with respect to x gives f'(x) = - f(x). Since f(1) = 1, the solution is f(x) = e^(x + 1). The answer to the original question is f(0) = e.
(DIR) Post #AmTTQbrnSprnZpy5Ts by ai@cawfee.club
2024-09-28T21:19:59.678673Z
0 likes, 0 repeats
@billiam @karna Epic solution. Did you get AY = (2 + 3^0.5)/2 by doing AY = DY tan(ADY) and computing tan(75) or am I missing an easier way? Similar reasoning inspired by the same diagram: Draw DZTriangle BDZ is equilateral -> DZ = BZAngle ZDB = 60 Angle ZDA = ZDB - ADB = 15 Angle ZAD = ADB - ACD = 15 Triangle AZD is isosceles -> AZ = DZAZ = BZ AZB is an isosceles right triangle Angle ZAB = 45 Angle Theta = ZAB - ZAD = 15
(DIR) Post #AmTWbd7lQdZuWcNojg by ai@cawfee.club
2024-09-28T21:55:35.654571Z
2 likes, 0 repeats
@billiam @karna I was thinking like this: in any right triangle, the median to the hypotenuse is equal to half the length of the hypotenuse (labeled "=x by theorem" in my picture). So the two little triangles in the picture are always isosceles. Since we also know that it's a 30-60-90 triangle in this problem, the bottom side is also "=x", so the bottom triangle in the picture is isosceles
(DIR) Post #AmkKLf25GHJlmLvkdE by ai@cawfee.club
2024-10-07T00:28:20.643111Z
2 likes, 0 repeats
@ceo_of_monoeye_dating @arcana @Merc @waifu @MercurialWhite @meso I think so. Fwiw my favorite way to do it is to see that the midpoints of the vertical edges form an (n + 1) x n grid, and the midpoints of the horizontal edges form an n x (n + 1) grid, hence the answer 2n(n+1)
(DIR) Post #AnssBi2M4xT7P3BXZA by ai@cawfee.club
2024-11-10T01:17:18.652202Z
1 likes, 0 repeats
@hidden @J Of course. Why wouldn't I be down to create the master race? 🤔
(DIR) Post #AnssdnvrknLNnNXxIm by ai@cawfee.club
2024-11-10T01:22:23.163919Z
2 likes, 0 repeats
@hidden @J This is quite literally why the "asians are short" stereotype applies to the first generation immigrants who lived through Mao but every subsequent generation gets taller and taller. Our child would be 7 ft tall
(DIR) Post #AntYBS4VdLGFxjkiIq by ai@cawfee.club
2024-11-10T05:47:35.246059Z
0 likes, 0 repeats
@hidden Good night!!!!
(DIR) Post #AntYswCBVfJhqG4uZ6 by ai@cawfee.club
2024-11-10T06:18:55.850345Z
0 likes, 0 repeats
@hidden I love you toooooooooooo :blobheart:
(DIR) Post #AuBuc1S6rUhhr4UKmW by ai@cawfee.club
2025-05-17T16:56:32.894404Z
14 likes, 7 repeats
@grips @BasedLunatic @Owl My name is Diceynes Lunatic. I'm 43 years old. My apartment is on the southern coast of Spain, where all the villas are, and I am not married. My mother takes care of all my needs, cooks for me, and then leaves. Today I am eating Iberian pig's face cheeks in a delicious sauce. I have gourmet food every day. I don't smoke, but I occasionally drink. If you are thinking of maybe marrying me for my assets, I have to inform you that I am not interested in anything other than my daily swim, coffee in the morning, and a beer midday at the bar. I am not prepared for entering a relationship with you or anyone but, if I did, I would surely win.
(DIR) Post #AwgZGbcGScZd5ce58y by ai@cawfee.club
2025-07-31T07:37:37.150603Z
12 likes, 4 repeats
cucked again
(DIR) Post #Ay7S9bMfaf4JfiUvNQ by ai@cawfee.club
2025-09-12T04:47:15.501974Z
3 likes, 0 repeats
@scathach @hidden Holy shit, I was reading about this the other day, it must be https://en.wikipedia.org/wiki/Judaeo-Spanish right? The southwest sounds really beautiful, I hope I can see it sometime
(DIR) Post #Ay8idrcrUNdPDWU2BU by ai@cawfee.club
2025-09-12T19:26:43.633884Z
2 likes, 1 repeats
@scathach @hidden I have educated myself about what is common to this trio, and all I can say is, a rectal probing is a small price to pay for the solace of knowing that we're not alone...
(DIR) Post #AyTU3yEMHMxoTB1ZlA by ai@cawfee.club
2025-09-22T19:52:17.655483Z
1 likes, 0 repeats
@jeffcliff Don't worry, my friend, I shall never hold my human brothers guilty for the sins of the machines
(DIR) Post #B0M1mfKidlWYFcbeEa by ai@cawfee.club
2025-11-18T01:16:38.789015Z
0 likes, 0 repeats
@allison @vitalis @georgia Can you link this if it's not too much trouble? I am interested
(DIR) Post #B0M2vMgZROIyydXUJ6 by ai@cawfee.club
2025-11-18T01:29:26.491480Z
4 likes, 0 repeats
@allison @cine @vitalis @georgia Wholeheartedly agree. I would add that LMs are even worse than ouija boards and musical dice games because they can be run without randomness (after the training is done). With the older summoning methods, the celebrant at least participates in the creation of new entropy, which has some mystery to it because entropy bleeds across domains. But the AI-user is absorbed into something frozen. Their sacrifice changes nothing. Like sitting down to argue with the guy holding a sign that says "change my mind" who never changes his mind about anything
(DIR) Post #B0MB3FGtgnclvsnc80 by ai@cawfee.club
2025-11-18T03:00:29.532213Z
4 likes, 3 repeats
@cine @allison @hakui I strongly disagree! I see the success of AI/ML as marking the end of "math" as a subject, insofar as it is defined to be 'the pursuit of human understanding of form.' The best articulation of this is http://www.incompleteideas.net/IncIdeas/BitterLesson.html , which explains why taking away human insight has been the key to AI/ML progress, and why the people most disappointed by this have been the "mathematicians" with all their fancy ideas. I beg the whole world to read this essay
(DIR) Post #B0MC7jwvfgSyBuANv6 by ai@cawfee.club
2025-11-18T03:12:31.007705Z
2 likes, 1 repeats
@allison @cine @hakui I hope and pray that you are right. I can see the headlines already: The New York Post: Brainiac scientist proves that man is better than machine, wins million-dollar fortune. Read below [ad break] American Scientist: 2035 Breakthrough Prize awarded for mathematical bound on the capabilities of neural architectures Quanta Magazine: Renegade genius proves that neural architectures are arbitrarily well-approximated in polynomial time, declares "human insight is back on the table." The actual arXiv preprint: In this paper, we approximate the output of a TWNNK (traditionally well-behaved neural network kernel) by an oracle that terminates in O(n^1384275904375081326409813407498674812650982174937509813745098630897019875108374985732049875943207987509183740918732409170) steps
(DIR) Post #B0b0AUEnogTl10WoTI by ai@cawfee.club
2025-11-25T06:39:13.661172Z
0 likes, 0 repeats
@bajax @cine @allison @hakui Strong agree with your first point. The most broadly useful model is and always will be plain old linear regression (with regularization). Your point about human introspection is interesting and makes me realize that the essay wavers on its own scope. It mentions "building in how we think we think" but also "human knowledge of the domain," and it's the latter more general point that I was responding to. Like, mathematicians enjoy thinking about chess tactics and phoneme analysis and visual shapes without ever touching the question of 'thinking about how humans think,' and I take the essay to be saying that even these kinds of things are ... not useless, but not nearly as useful as adding compute. If mathematical thinking becomes economically unjustifiable, then it might as well be a branch of art.Re your last point, it's ironic that old AI/AGI research like "I am a strange loop" and the lesswrong-style AI safety stuff was very reliant on self-referential loops, falling into the exact trap you mention, when modern architectures just aren't like that. (Morally I think they are close to how human minds work, intuition over logic, etc.)
(DIR) Post #B28MUAMp0T13i0KeY4 by ai@cawfee.club
2026-01-10T06:46:52.038964Z
2 likes, 0 repeats
@hidden @grips Hello from the other side :D (I miss you!)
(DIR) Post #B2Tp1vr24SLDJg3q5I by ai@cawfee.club
2026-01-20T15:15:38.588844Z
3 likes, 1 repeats
@grips @benis_redux