00:01:24 -!- b_jonas has quit (Ping timeout: 246 seconds). 00:05:10 -!- immibis has quit (Remote host closed the connection). 00:05:34 -!- immibis has joined. 00:08:13 -!- b_jonas has joined. 01:33:36 Folklore is that integration is computable; given a computable (continuous) function on the reals, the Riemann sums over an interval can be computed. Is there a neat trick to this, or is it quite literally done by drawing the little Riemann-style boxes and making ever-thinner slices? 01:47:07 Corbin: I'd guess the latter. note that if it's a continuous function on a compact set then you can just pick Riemann-style boxes of equal sizes and they will converge, so that's like easy mode. 01:47:47 b_jonas: Yeah, good point. 01:48:02 They computably converge? That's a little surprising, but yeah, I'd believe it. 01:48:15 I don't know 01:48:31 I don't know much about computable reals and that sort of thing 01:49:25 I want to believe that they're the future. But every time I've implemented them, it's been like rolling the rock up the hill. 01:49:46 the future of what? 01:51:09 Of numerical work, I suppose. Like, we could be computing exact answers for a lot of engineering and physics work, but floats have limits on precision for operations like sqrt or division. 01:51:55 anyway, the function is uniformly continuous which is why the Riemann-sum converges: for every 0 maybe if you understand computable reals you can tell if that translates to a proof 01:54:02 as for the general thing, isn't the problem that if you try to compute something with computable reals, you might need like double exponential time or worse, so they can't just avoid you all the difficult numerical analysis tricks to bound errors of floating point computation properly 01:54:43 and double exponental memory too obviously 01:54:54 Kind of. I guess that there's a continued-fraction proof that's not too bad. Let the upper and lower bounds for N boxes give two sequences of continued fractions. Consider the sequence P of rational numbers which arise as common prefixes; P_N agrees with upper_N and lower_N on the first few coefficients of the continued fractions. 01:57:08 Now, by fun facts about continued fractions, every element of P is a Padé approximant and thus a best possible approximation to some real number; but Riemann already showed that upper and lower already converge to a real number, and P is sandwiched between them. So P uniquely determines a real, and we can read off its continued fraction by one of Gosper's algorithms. 01:57:45 does this really need to involve continued fractions? 01:58:56 No, that's just the model that I'm used to using. 01:59:06 ok 02:00:36 -!- littlebobeep has quit (Ping timeout: 240 seconds). 02:28:45 -!- perlbot has quit (Ping timeout: 246 seconds). 02:29:19 -!- simcop2387 has quit (Ping timeout: 256 seconds). 02:33:51 -!- simcop2387 has joined. 02:35:21 -!- perlbot has joined. 03:26:40 -!- littlebobeep has joined. 04:11:41 [[E]] N https://esolangs.org/w/index.php?oldid=94745 * Lemonz * (+3466) Created page with "'''E''' is a esoteric based off of [[E]]. But you can #s to change from Main use to secondary use. However since there are two per command, E## acts the same a..." 04:12:59 [[E]] https://esolangs.org/w/index.php?diff=94746&oldid=94745 * Lemonz * (+99) 04:50:26 https://i.imgur.com/lU62xDx.png This took hours, but it works. I want it to take seconds. Compilers are hard. 05:25:00 Corbin: is that some kind of fractal? 05:25:35 b_jonas: Yeah, it's a closeup of the Burning Ship fractal. 05:28:39 I see. that one is probably famous enough that there's probably optimized code for it somewhere. 05:29:42 There certainly is. Right now, I'm enjoying finding optimized code for such difficult expressions as "256" and "x + y". Primitive recursion is *very* primitive. 05:30:17 hehe, "256" 05:30:23 So, after putting it off for months, I'm trying out "jets"; I'm replacing short chunks of library code with single optimized bytecodes. 05:34:18 so you were implementing everything directly in primitive recursion? 05:35:21 short enough ones I guess that it doesn't generate to writing an interpreter that interprets a biggere interpreter 05:36:18 Yeah. 06:16:23 -!- BarryNL has quit (Ping timeout: 260 seconds). 06:18:16 -!- BarryNL has joined. 06:20:56 -!- BarryNL has quit (Read error: Connection reset by peer). 06:28:08 -!- BarryNL has joined. 06:30:16 -!- m5zs7k has quit (Ping timeout: 248 seconds). 06:30:53 -!- m5zs7k has joined. 07:09:59 -!- Sgeo has quit (Read error: Connection reset by peer). 07:19:33 -!- MrAureliusR has quit (Remote host closed the connection). 07:19:48 -!- MrAureliusR has joined. 07:23:16 -!- BarryNL has quit (Read error: Connection reset by peer). 07:25:25 -!- BarryNL has joined. 08:18:35 -!- Roy_Mustang has joined. 08:18:47 -!- A_Dragon has quit (Killed (NickServ (GHOST command used by Roy_Mustang))). 08:19:05 -!- Roy_Mustang has changed nick to A_Dragon. 08:57:02 -!- tromp has joined. 09:04:37 -!- tech_exorcist has joined. 09:27:47 -!- BarryNL has quit (Read error: Connection reset by peer). 09:28:26 -!- BarryNL has joined. 11:07:42 -!- tromp has quit (Quit: My iMac has gone to sleep. ZZZzzz…). 11:21:19 -!- tromp has joined. 11:32:46 -!- BarryNL has quit (Read error: Connection reset by peer). 11:35:18 -!- littlebobeep has quit (Remote host closed the connection). 11:35:45 -!- littlebobeep has joined. 11:36:10 -!- BarryNL has joined. 11:38:15 -!- tech_exorcist_ has joined. 11:39:27 -!- tech_exorcist has quit (Ping timeout: 240 seconds). 12:16:47 -!- definitelya has joined. 12:24:35 -!- tromp has quit (Quit: My iMac has gone to sleep. ZZZzzz…). 13:06:35 -!- tromp has joined. 13:13:43 "sign-in from new location" ...no I'm pretty sure it's the same location as last time. 13:13:56 `? device 13:14:00 A device is a browser session. Please verify your device. 13:21:40 Deep truths. 13:24:28 `? device manager 13:24:30 device manager? ¯\(°​_o)/¯ 13:24:37 `le//rn device manager//The device manager can perform low-level device functions such as reboot and factory reset. 13:24:40 Learned 'device manager': The device manager can perform low-level device functions such as reboot and factory reset. 13:24:52 Useless factoids since [insert an early year]. 13:37:28 -!- BarryNL has quit (Ping timeout: 248 seconds). 13:40:59 -!- BarryNL has joined. 13:51:34 -!- SGautam has joined. 14:00:54 -!- Sgeo has joined. 14:01:16 -!- haavard has changed nick to hs. 14:01:27 -!- hs has changed nick to hd. 14:42:22 -!- tromp has quit (Quit: Textual IRC Client: www.textualapp.com). 14:46:36 -!- BarryNL has quit (Read error: Connection reset by peer). 14:52:56 -!- BarryNL has joined. 14:59:11 -!- tromp has joined. 14:59:37 -!- tromp has quit (Client Quit). 15:12:51 -!- sprout has joined. 15:13:09 -!- BarryNL has quit (Ping timeout: 246 seconds). 15:13:46 -!- BarryNL has joined. 15:14:30 -!- tromp has joined. 15:16:09 -!- sprout_ has quit (Ping timeout: 248 seconds). 15:42:08 [[ONE WAY]] M https://esolangs.org/w/index.php?diff=94747&oldid=94743 * DigitalDetective47 * (+1603) /* Examples */ 16:10:55 -!- BarryNL has quit (Read error: Connection reset by peer). 16:19:30 [[]] M https://esolangs.org/w/index.php?diff=94748&oldid=94710 * PythonshellDebugwindow * (+4) Add link 17:25:48 -!- fowl6 has joined. 17:28:02 -!- Roy_Mustang has joined. 17:28:14 -!- A_Dragon has quit (Killed (sodium.libera.chat (Nickname regained by services))). 17:28:14 -!- Roy_Mustang has changed nick to A_Dragon. 17:29:05 -!- citrons_ has joined. 17:29:40 -!- sprocket has joined. 17:33:22 -!- tromp has quit (Quit: Textual IRC Client: www.textualapp.com). 17:33:56 -!- j-bot has quit (*.net *.split). 17:33:56 -!- pikhq has quit (*.net *.split). 17:33:57 -!- citrons has quit (*.net *.split). 17:33:57 -!- imode has quit (*.net *.split). 17:33:57 -!- zzo38 has quit (*.net *.split). 17:33:57 -!- sprock has quit (*.net *.split). 17:33:57 -!- scjosh has quit (*.net *.split). 17:33:57 -!- fowl has quit (*.net *.split). 17:33:57 -!- APic has quit (*.net *.split). 17:33:57 -!- Melvar has quit (*.net *.split). 17:33:59 -!- fowl6 has changed nick to fowl. 17:35:00 -!- tromp has joined. 17:37:15 -!- pikhq has joined. 17:37:15 -!- imode has joined. 17:37:15 -!- scjosh has joined. 17:41:07 -!- APic has joined. 17:41:48 -!- Melvar has joined. 17:43:27 -!- definitelya has quit (Quit: h). 17:47:19 -!- definitelya has joined. 18:15:00 -!- BarryNL has joined. 18:17:02 -!- BarryNL has quit (Read error: Connection reset by peer). 18:17:23 -!- zegalch has quit (Remote host closed the connection). 18:49:00 -!- zzo38 has joined. 19:56:45 -!- definitelya has quit (Quit: h). 20:25:13 -!- Lord_of_Life_ has joined. 20:25:59 -!- Lord_of_Life has quit (Ping timeout: 256 seconds). 20:28:00 -!- Lord_of_Life_ has changed nick to Lord_of_Life. 20:31:10 -!- SGautam has quit (Quit: Connection closed for inactivity). 20:35:40 Just realized (from a different channel's discussion) that if you use the INTERCAL character names (that is, the correct character names), scripts start with a meshwow line to indicate the interpreter. 21:25:37 Does any implementation of INTERCAL can work if it has such a line at first? 21:29:24 -!- tromp has quit (Quit: My iMac has gone to sleep. ZZZzzz…). 21:32:05 -!- tech_exorcist_ has quit (Quit: Disconnecting). 21:35:27 -!- tromp has joined. 22:16:32 -!- tromp has quit (Quit: My iMac has gone to sleep. ZZZzzz…). 22:37:49 [[Uzumaki]] N https://esolangs.org/w/index.php?oldid=94749 * Zero player rodent * (+4949) Created page with "{{infobox proglang |name=Uzumaki |paradigms=imperative |author=[[User:Zero player rodent]] |year=[[:Category:2022|2022]] |memsys=[[:Category:Queue-based|Queue-based]] |dimensi..." 22:38:16 I don't know of any at least. 22:54:45 [[User:Zero player rodent]] https://esolangs.org/w/index.php?diff=94750&oldid=94374 * Zero player rodent * (+15) 23:00:28 [[Language list]] M https://esolangs.org/w/index.php?diff=94751&oldid=94641 * Zero player rodent * (+14) 23:36:13 Do you know if any PostScript interpreter does? (This can be done by defining a procedure named #! before the file is executed) 23:38:35 -!- feoh has quit (Quit: The Lounge - https://thelounge.chat). 23:43:09 Is there C interpreter that does? (Usually C is compiled but might also be an interpreter) 23:44:57 tcc -run supports #! 23:45:16 I don't know whether you'd call it an interpreter. It compiles your program into memory and jumps to it. 23:48:22 -!- feoh has joined. 23:48:27 -!- feoh has quit (Client Quit). 23:49:02 -!- feoh has joined. 23:49:13 -!- feoh has changed nick to Guest7093.