- 1 year ago
mathematics journey continues
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CreativityTranscript
00:00:00hello friends welcome to friday and i love hunkily episode 2 1 1.4 happy
00:00:11uh sunday evening okay let's do stretching
00:00:17yeah i have an interesting dream in the dream
00:00:43uh i got a job as a computer programmer in my dream and
00:00:52so i was assigned a place in a cubicle and there are a lot of people in the building
00:01:06that floor office floor and i forgot where the location of my cubicle
00:01:13so i asked them like basically who should i ask where are my cubicles
00:01:20and then they told me well you should talk to the person that uh
00:01:27who hired you okay yeah so i went to my boss where's my cubicle and my boss said
00:01:35in the in that dream well i do not know where your cubicle is you should just uh
00:01:41go through out the floor and find your name
00:01:48that next to the cubicle so i asked them oh ah so
00:01:53in my cubicle there's my name there and they said yes
00:01:57uh and so i was looking for my cubicle with my name on it
00:02:03uh and then there's this uh anti-fire water sprinkler from the ceiling that went off
00:02:16and so i asked them should we exit exit the building and they said
00:02:22well only the people with disability can exit the building and everybody else with
00:02:29healthy body they should stay at work that's what they said okay
00:02:33okay that's interesting then yeah
00:02:37yeah
00:02:40okay
00:03:04okay
00:03:08okay
00:03:15and today i i mean this episode let's test out that uh
00:03:21our best question formula after that then we'll uh
00:03:27on work on understanding why it works okay but first let's do some testing okay
00:03:34yeah
00:03:38okay
00:03:40okay
00:03:48uh
00:03:52uh
00:03:54uh
00:03:56uh
00:04:00uh
00:04:02uh
00:04:04uh
00:04:06uh
00:04:07uh
00:04:09um
00:04:11uh
00:04:17uh
00:04:21um
00:04:35Okay.
00:04:41Oh.
00:04:45Ah.
00:05:05All right.
00:05:35Okay.
00:05:47Feature exercise.
00:05:51Okay.
00:05:57Okay.
00:06:05Okay.
00:06:27Okay.
00:06:31Okay.
00:06:33Okay.
00:06:35Okay.
00:06:37Okay.
00:06:39Okay.
00:06:41Okay.
00:06:43Okay.
00:06:45Let me check on my demo.
00:06:49Okay.
00:06:59Okay.
00:07:01Okay.
00:07:03Okay.
00:07:13Okay.
00:07:15Okay.
00:07:17Okay.
00:07:19Okay.
00:07:21Okay.
00:07:23Okay.
00:07:25Now.
00:07:27Okay.
00:07:29Okay.
00:07:30Well, yeah, it's weekend, it's Sunday.
00:07:31Happy Sunday evening, let's do some dancing.
00:07:35Please, I'm stretching, okay?
00:08:00Okay, good.
00:08:02Five minutes break, please.
00:08:09Hello?
00:08:17Booyah!
00:08:34Booyah!
00:08:35Booyah!
00:08:36Booyah!
00:08:38Booyah!
00:08:39Booyah!
00:08:41I can't wait for you, no!
00:08:43Hi!
00:08:44I can't do it!
00:12:46Okay.
00:12:48Let's grab the whiteboard.
00:12:56And let's rewrite the formula.
00:13:08Okay.
00:13:10The simplified one.
00:13:20And test it out.
00:13:30Okay.
00:13:32Yeah.
00:13:33Yeah.
00:13:34Yeah.
00:13:36Yeah.
00:13:38Yeah.
00:13:40Yeah.
00:13:42Yeah.
00:13:43Yeah.
00:13:52Let's...
00:13:53Let's rewrite the formula.
00:13:54Okay?
00:13:56Well, let me fill up my vodka bottles.
00:14:13Okay.
00:14:26This one's done.
00:14:46Okay.
00:14:56I'll stop drinking when my poo starts to become numb again.
00:15:05Until then, I can enjoy it.
00:15:07Okay.
00:15:08Now, let's rewrite the formula.
00:15:17Element base l i throw j's column is equal to sigma k from 0 to j minus 1.
00:15:37I've also in bracket i rho j is equal to this, okay?
00:15:57Minus k times, well, it's l instead of 7.
00:16:16L rho j rho j.
00:16:27That's that, okay?
00:16:28It's greatly simplified.
00:16:32Times i plus l times k over j.
00:16:46Okay.
00:16:47All right.
00:16:48So, that's our simplified formula.
00:16:53And now, let me grab my notebook.
00:17:09I wasn't bracket.
00:17:10I mean, dog.
00:17:11We.
00:17:12We.
00:17:13We.
00:17:14We.
00:17:15We.
00:17:24We.
00:17:24We.
00:17:25So, we...
00:17:55Biggest example of this Bezos coefficient for something number 31, okay?
00:18:02Yeah
00:18:05Look for that
00:18:25You
00:18:35Number 31
00:18:55Okay
00:19:19Okay
00:19:19We have
00:19:38Okay
00:20:01Let me take care of my dinner forks
00:20:04But
00:20:07Okay
00:20:25Okay
00:20:27Okay
00:20:29Okay
00:20:31Okay
00:22:04Okay, we are about to test out this formula.
00:22:10Am I nervous?
00:22:11Just a little bit.
00:22:14Cheers.
00:22:19All right, let me close the window.
00:22:21Okay, we have 31x.
00:22:39Plus 14y is equal to 1.
00:22:52Okay.
00:22:59Okay.
00:22:59Okay.
00:23:30Then, the best coefficient for this, 20, okay.
00:23:58Now, where does the 20 go?
00:24:01Now, where does the 20 go?
00:24:31Let's work this out.
00:24:4920 times, okay, 14, we have 2, 8, 0, 2, 8, 0, 2, 7, 1.
00:25:07If you, okay, so y is 20, x is 9, okay.
00:25:22All right.
00:25:26Now, let's plug in the number.
00:25:37So, L is 31.
00:26:01What is INJ?
00:26:13What is INJ?
00:26:15Cheers.
00:26:29In this example, i has to be L minus 1.
00:26:49Okay, we are looking at the very last row.
00:26:53Okay, so, L, oh, this one's too light.
00:27:11Oh, this one's too light.
00:27:15L is 31.
00:27:19i is good 30.
00:27:26J is 14.
00:27:27I'm not sure if J is 14 or 31 minus 14, which is 17.
00:27:39Okay, but it doesn't matter.
00:27:41Because they are symmetric, okay, so, but for now, let's plug this in.
00:27:46Okay, sure.
00:27:50Let's go.
00:27:5431.
00:27:5531.
00:27:56E.
00:27:5730.
00:27:5814.
00:27:59K from 0 to J minus 1, 13.
00:28:04Okay.
00:28:05i, 30, rho, J, 14, is this equal to?
00:28:22Q.
00:28:30E.
00:28:31K times.
00:28:33E.
00:28:40L, 31.
00:28:42Rho, J, J is 14.
00:28:46Rho, J, 14.
00:29:01I, which is 30, plus L, 31 times, K, over, J is 14.
00:29:17Okay?
00:29:22Hoo-yah!
00:29:31Okay?
00:29:35Now, I do not want to erase anything here, so let's grab a new whiteboard, okay?
00:29:42After five minutes, okay?
00:29:44If you want to calculate this, go for it, okay?
00:29:49Okay.
00:29:56There we go.
00:30:00Yeah, five minutes.
00:30:01Thank you!
00:30:02Thank you!
00:30:31.
00:31:01.
00:31:31.
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00:33:51.
00:33:52You
00:34:15Okay, it's missing bottom frame, but that's fine we don't need that
00:34:22You
00:34:29It's one of those old white bars, so it does not erase very well
00:34:41We could enough
00:34:52Very well
00:34:54Okay
00:34:58Cheers
00:35:00Mm-hmm
00:35:02I'm excited and also a little bit nervous. Not really. I'm not nervous. Am I scared?
00:35:13Am I scared?
00:35:15A little bit, I guess. Sure. Not really. Just kidding
00:35:21Okay, let me rewrite it
00:35:2731
00:35:29E
00:35:3130
00:35:3314
00:35:36Sigma
00:35:38K from 0 to 13
00:35:41Yeah, I picked big number for purpose, okay
00:35:4830 rho 14
00:35:51Is this equal to
00:35:54Minus K times
00:35:5831
00:35:59Rho
00:36:0014
00:36:04And then Rho
00:36:0614
00:36:10That's the case. Multiply by
00:36:11multiply by
00:36:1330 times
00:36:17Well, 30 plus
00:36:1931 K
00:36:21Over
00:36:2214
00:36:25Hoo-yah!
00:36:30Okay
00:36:31Okay
00:36:36Cheers
00:36:44Now
00:36:48Let's calculate
00:36:50All the ones that we can calculate
00:36:54K from 0 to 13
00:36:59Check on my Dino
00:37:01Multi-test scan
00:37:02Multi-test scan
00:37:03Multi-test scan
00:37:04Okay
00:37:26Uh
00:37:27This is light
00:37:28I think
00:37:33I think this one's better
00:37:3713 Rho
00:37:3914
00:37:40That's 2
00:37:45Minus K times
00:37:5113 Rho
00:37:5214
00:37:53Okay
00:37:54That's
00:37:55That's
00:37:593
00:38:01So
00:38:02That's
00:38:03Minus 3
00:38:04Minus 3 K
00:38:06Rho
00:38:0714
00:38:08Okay
00:38:10So
00:38:11That's
00:38:12Minus 3 K
00:38:13Rho
00:38:1414
00:38:15Okay
00:38:16That's
00:38:17Minus 3 K
00:38:18Rho
00:38:1914
00:38:21Okay
00:38:23Times
00:38:25Times
00:38:2630 plus
00:38:2731 K
00:38:28Over
00:38:2914
00:38:30Times
00:38:3130 plus
00:38:3231 K
00:38:33Over
00:38:3414
00:38:35Uh
00:38:36These pens
00:38:37They are all getting light
00:38:47Okay
00:38:49Okay
00:38:50Okay
00:38:52Okay
00:38:53Okay
00:38:55Okay
00:38:57Okay
00:38:58Okay
00:38:59Okay
00:39:00Okay
00:39:01Okay
00:39:02Okay
00:39:03Okay
00:39:04Cheers
00:39:05Cheers
00:39:10Cheers
00:39:12We have negative number here, so
00:39:16To make it easy
00:39:18Uh
00:39:19Minus 3 K
00:39:20Rho
00:39:2114
00:39:22We have negative number here, so
00:39:23To make it easy
00:39:24Uh
00:39:25Minus 3 K
00:39:26Rho
00:39:2714
00:39:28Equal to
00:39:2911 K
00:39:30Rho
00:39:3114
00:39:32Okay
00:39:33Minus 3 K
00:39:34Rho
00:39:3514
00:39:36Rho
00:39:3714
00:39:38Equal to
00:39:3911 K
00:39:40Rho
00:39:4114
00:39:42Okay
00:39:43Rho
00:39:4414
00:39:45Okay
00:39:46Now
00:39:52From K
00:39:53Is equal to
00:39:540 to
00:39:5513
00:39:56Which one makes
00:39:57Uh
00:39:5811 K
00:39:59Rho
00:40:0014
00:40:01As 2
00:40:02Okay
00:40:03Because
00:40:04All the other terms should be
00:40:060
00:40:10Okay
00:40:11Okay
00:40:16So
00:40:17It is
00:40:18It is a guessing game
00:40:21Or
00:40:26It's just linear algorithm
00:40:27But maybe
00:40:28It is linear, huh
00:40:29Right
00:40:30Then it's worse than logarithmic
00:40:31But that's fine
00:40:32Okay
00:40:33Yeah
00:40:34No
00:40:35What?
00:40:39It is a
00:40:42And
00:40:43I
00:40:44Can
00:40:45It is a
00:40:46L
00:40:57To
00:40:58It is a
00:40:59It is a
00:41:00Okay, so 11K, Rho 14 is 2.
00:41:30Okay, 11K is equal to 2, let's do it here, I don't know how long it will take, so 11K is
00:41:52equal to 2, Rho 14, uh-huh.
00:41:5911K is equal to 2 plus 14L, let's say M, 14P, how about that?
00:42:21Then applying the Rho algebra operation, 0 is equal to 2 plus 14P, Rho 11.
00:42:36Well, 3P, Rho 11, 3P is equal to minus 2.
00:42:433P is equal to minus 2.
00:42:503P is equal to minus 2.
00:42:573P is equal to 9.
00:43:053P is equal to minus 3.
00:43:123P is equal to minus 3.
00:43:153P is equal to minus 3.
00:43:204P is equal to minus 4.
00:43:334P is equal to minus 4.
00:43:40Sure.
00:43:45So case 4.
00:43:5930 plus 31 times 4
00:44:03divided by 14.
00:44:0911, okay? Okay.
00:44:23Now, let me check this.
00:44:39Uh-huh.
00:44:44Yeah, 11, that's correct.
00:44:47Yeah, the formula worked.
00:44:50Okay.
00:44:57Uh-huh.
00:44:59But the problem is this.
00:45:04Yeah, cheers.
00:45:05I wanted this to be constant time algorithm, but...
00:45:14The way it turns out is that we had to solve this problem using the rule operation, which is basically, it's logarithmic time, because this process is equivalent to the Euclidean algorithm, okay?
00:45:27So yeah, that's disappointing to me.
00:45:29But, oh well, it is what it is.
00:45:31Okay.
00:45:33Okay.
00:45:35Okay.
00:45:37Okay.
00:45:39Okay.
00:45:40Okay.
00:45:41Okay.
00:45:42Okay.
00:45:43Okay.
00:45:44Okay.
00:45:45Okay.
00:45:46Okay.
00:45:47Okay.
00:45:48Okay.
00:45:49Okay.
00:45:50Okay.
00:45:51Okay.
00:45:52Okay.
00:45:57Okay.
00:45:58Yeah.
00:45:59Okay.
00:46:00Well.
00:46:01We'll d wipe off some oint subjected things.
00:46:05Well.
00:46:06Cheers.
00:46:07Okay.
00:46:08Well.
00:46:09Cheers.
00:46:12Uh-huh.
00:46:13Uh-huh.
00:46:15Yeah.
00:46:16But.
00:46:18You
00:46:22But
00:46:28You okay
00:46:33Well this one
00:46:48So unfortunately, it's not constant time algorithm. It is still logarithmic time algorithm and actually
00:47:02But it's good that we found a formula that works. That's great. It's just that
00:47:13It's not an improvement
00:47:16From when it comes to algorithm complexity, okay, I am disappointed, but that's fine
00:47:23We found some nice formula
00:47:26Simplified it. That's good. Okay. Yeah
00:47:33Yeah
00:47:45Now let's come let's take five minutes break, okay, and let's compare this with
00:47:57traditional method well
00:47:59our
00:48:01rule algebraic method of
00:48:04solving this
00:48:06Bayer's coefficient problem where it is
00:48:0931 X plus 14 Y
00:48:17Is equal to one. Okay. Yeah, sure and then we compare
00:48:23This method and this method. Okay, sure we can do that. Okay. Five minutes break. Thank you
00:48:29I
00:48:43It's been less than one hour
00:48:46Let me ventilate the room
00:48:48The room
00:48:52Okay
00:48:54There we go
00:49:03Okay
00:49:10All right
00:49:11All right
00:49:13All right
00:49:18All right
00:49:20Okay. No.
00:49:37All right
00:49:40All right
00:49:42All right
00:49:44All right
00:49:45All right
00:49:46.
00:50:16.
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00:53:38So, we conduct root 14, 28, 3x plus is equal to 1, rho 14, okay?
00:53:58So, 3x is equal to 1 plus 14p.
00:54:08Then rho 3, 0 is equal to 1 plus 12, so 2p.
00:54:17Rho 3, let me get some more, okay.
00:54:25All right.
00:54:38All right.
00:54:39All right.
00:54:40So, we're going to get some more information in the world.
00:54:45All right.
00:54:47So, we're going to get some more information in the world.
00:54:49All right.
00:55:502p is equal to minus 1.
00:56:01Then p is equal to, we add 3, so p is equal to 1.
00:56:10And x is 5.
00:56:1614y is equal to minus 1.
00:56:46Okay, y is equal to minus 11.
00:56:53All right.
00:57:00That's odd.
00:57:09That's odd.
00:57:18We have 11 here, but we have minus 11 here.
00:57:22Why is that?
00:57:29Why is that?
00:57:34Why is that?
00:57:42Why is that?
00:57:44Why is that?
00:57:47Why is that?
00:57:51Why is that?
00:57:52Why is that?
00:57:57And I, gosh, I'm so hungry.
00:58:10Okay.
00:58:14Oh, water.
00:58:16Okay.
00:58:27Okay.
00:58:35Okay.
00:58:37Mm-hmm.
00:58:45Okay.
00:58:45I'm going to drink all the drool, okay?
00:58:47Because I'm just too hungry.
00:58:50Okay.
00:58:57Cheers.
00:59:09Cheers.
00:59:11Okay.
00:59:27Let me look at the notebook again.
00:59:38Mm-hmm.
00:59:43Bye-bye.
00:59:47Bye-bye.
00:59:59Bye-bye.
00:59:59Bye-bye.
01:00:03Bye.
01:00:05Bye.
01:00:0511.
01:00:29So, we have a solution, 5 comma minus 11.
01:00:34Okay, but what if y is not minus 11?
01:00:49What if y is just 11? Does it work?
01:00:5414 times 14, 14 times 11 is equal to
01:01:02154.
01:01:04Okay.
01:01:09If y is just 11,
01:01:15minus 153,
01:01:19I don't know what's going on here.
01:01:24I don't know what's going on here.
01:01:31Okay.
01:01:32I don't know what's going on here.
01:01:38Okay.
01:01:39I don't know what's going on here.
01:01:41Okay.
01:01:43I don't know what's going on here.
01:01:44I don't know what's going on here.
01:01:45I don't know what's going on here.
01:01:50I don't know what's going on here.
01:01:56That's just funny
01:02:01Okay, now 31 times 11, let's see
01:02:0931 times 11 is equal to
01:02:153 4
01:02:18Well, yes, 3 4 1
01:02:24Okay
01:02:26And
01:02:30Minus 3 4 0 divided by 14
01:02:4760, yeah, it does not divide. Okay, then what's going on?
01:02:56Where did this number 11 came from?
01:02:58Where did this number 11 come from?
01:03:02Where did this number 11 come from?
01:03:04Where did this number 11 come from?
01:03:08Where did this number 11?
01:03:14That's a good point.
01:03:16So close, we've got a couple 11 come from the bottom of the row and then we did it before our final podcast.
01:03:18So we have to turn the one on and then we've got a couple 11, come from the next row.
01:03:20So we're going to turn the one on and then we'll have to review it back.
01:03:22Yeah, so I'm going to turn it over.
01:03:22So we'll start doing the one on and then we'll have to open the next row so we have to do that again.
01:04:31Minus 14.
01:04:32Okay.
01:04:36Yeah, it's such a complicated problem.
01:04:51So, yeah, we have 11 here, but maybe this is better.
01:04:57Because in our formulation, we have minus better, right?
01:05:00So maybe, yeah, that's why we have 11 there.
01:05:03That makes sense, okay?
01:05:05So, okay.
01:05:06Cheers.
01:05:08Mm-hmm.
01:05:09Okay.
01:05:10But it worked, okay?
01:05:22So, yeah, minus better, so this, that's our formulation, okay?
01:05:25That's our formulation, okay?
01:05:26So that's why it's minus 11, okay?
01:05:28That's good.
01:05:29That's good.
01:05:30Okay.
01:05:31Okay.
01:05:32Okay.
01:05:33Uh-huh.
01:05:36Uh-huh.
01:05:37Because, like, it's like Y is equal to...
01:05:46Let's say minus 31, Q, minus 11.
01:06:08X is equal to...
01:06:09Let's say minus 31, Q, minus 11, X is equal to...
01:06:20Uh...
01:06:2114Q, plus 5, something like that.
01:06:25Okay.
01:06:26So, yeah.
01:06:27So, it worked.
01:06:28Yeah.
01:06:29I was just confused.
01:06:30Okay.
01:06:31So...
01:06:32But, uh...
01:06:33Yeah.
01:06:34Cheers.
01:06:35Okay.
01:06:36Okay.
01:06:37Okay.
01:06:38Now, the question is...
01:06:42Let me still make this a constant time algorithm, okay?
01:06:52So, uh...
01:06:53Uh...
01:06:54It's possible.
01:06:55I just...
01:06:56We just need to, uh...
01:06:58Think about it a little bit more.
01:07:00And, um...
01:07:01Yeah.
01:07:02Maybe there is a way to make this constant time, okay?
01:07:08So...
01:07:09Looks like, uh...
01:07:11Uh...
01:07:12I'm not out of the woods yet.
01:07:14Maybe you are.
01:07:15Okay.
01:07:16So, uh...
01:07:17Uh...
01:07:18Yeah.
01:07:19There's some more work to do.
01:07:20Okay.
01:07:21Alright.
01:07:22Okay.
01:07:23Because it's such a big project, and, uh...
01:07:28We just need to take time, and, uh...
01:07:33Uh...
01:07:34Let me find that whiteboard where we have...
01:07:36Remain the matrix, okay?
01:07:38Uh...
01:07:39It's right there.
01:07:40Okay.
01:07:41Okay.
01:07:42Okay.
01:07:43There's some vibrational sound going on.
01:07:44Where did the sound come from?
01:08:00From the computer, I guess.
01:08:01I don't know.
01:08:02Yeah.
01:08:03This computer may have...
01:08:06Uh...
01:08:07I don't know.
01:08:08From the computer, I guess.
01:08:09I don't know.
01:08:10From the computer, I guess.
01:08:11I don't know.
01:08:12Yeah.
01:08:13This computer may have...
01:08:14Uh...
01:08:15Having some issue, I don't know.
01:08:16Whatever.
01:08:17Okay.
01:08:18Uh-huh.
01:08:19Yeah.
01:08:20Let's take five minutes for it.
01:08:21Okay.
01:08:22Okay.
01:08:23Yeah.
01:08:24Okay.
01:08:25Okay.
01:08:26There we go!
01:08:28Okay.
01:08:29Okay.
01:08:30All right.
01:08:31Okay.
01:08:32All right.
01:08:33Okay.
01:08:34Okay.
01:08:35All right.
01:08:36Okay.
01:08:37All right.
01:08:38Okay.
01:08:39Yeah, all right.
01:08:40Okay.
01:08:41Okay.
01:08:42Oh, okay.
01:08:43Okay.
01:08:44I didn't know, okay, this is kind of a little bit.
01:08:48Okay.
01:08:49Okay.
01:11:53Okay.
01:11:55That was funny.
01:11:56I made a joke.
01:11:57The formula works.
01:11:58Okay.
01:11:59The formula doesn't even work.
01:12:00Okay.
01:12:01It's not a joke.
01:12:02It works.
01:12:03It works.
01:12:04I can't...
01:12:05It's not a joke.
01:12:07I can't do it.
01:12:08I can't do it.
01:12:11It's not a joke.
01:12:12I'm not a joke.
01:12:13I can't do it.
01:12:14I can't do it.
01:12:15Oh, that was funny.
01:12:17Yes, okay, so let's switch the whiteboard, okay, let's go back to our remainder matrix.
01:12:47This one, yeah, hopefully this computer doesn't break down, you hear some noise.
01:13:17Okay, so the bottom line, that's the last row, they're the best coefficients, okay, so the
01:13:35way we constructed this is like one, skip two, skip three, yeah, it's very nice algorithm
01:13:44that we found, okay, so it's a good achievement, okay, yeah, if this algorithm, yeah, it could
01:13:53be still constant time, I don't know, we'll figure it out, okay, okay, but we did find something,
01:14:01okay, that's great, yeah, cheers.
01:14:08Okay.
01:14:09Okay.
01:14:10Okay.
01:14:11Okay.
01:14:13Okay.
01:14:14Okay.
01:14:16Okay.
01:14:18You
01:14:48Oh, okay, let me check on the microwave
01:14:57Yeah
01:15:09Okay
01:15:13How can we make this content on time I will
01:15:19Okay, okay, okay, I've also in town, all right
01:15:43I've also in comparison to all
01:15:47Yeah, I'm looking at the whiteboard over there
01:15:49Time check
01:15:53Yeah, I'm looking at the whiteboard over there
01:16:02Time check
01:16:05We have more than 30 minutes left
01:16:1130 minutes left
01:16:13Yeah
01:16:15Mm-hmm
01:16:17So it boils down to finding the right K
01:16:33Okay
01:16:41This noise is really bothering me
01:16:51Maybe I should get on the computer, I don't know
01:16:55Okay
01:16:57Well
01:16:59Maybe I'll get used to it, I don't know
01:17:03Cheers
01:17:05Okay
01:17:09Okay
01:17:10Okay
01:17:13Okay
01:17:15Okay
01:17:17Okay
01:17:19.
01:17:49Uh-huh.
01:17:53.
01:17:55.
01:17:57.
01:18:01.
01:18:05.
01:18:09.
01:18:11.
01:18:13.
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01:21:43.
01:21:44.
01:21:45.
01:21:46.
01:21:47.
01:21:48.
01:21:49It's pretty much the same logarithmic time algorithm, okay?
01:21:55So I did not expect that, okay?
01:21:57I thought it would be constant time algorithm, okay?
01:21:59But it seems that it's still logarithmic time, and I'm sorry, okay?
01:22:07Yeah, but, well, it's just the way it is, I guess.
01:22:14Yeah.
01:22:14I'm still wondering, is it possible to make this still constant time, though, okay?
01:22:24It does not seem so, okay?
01:22:26Okay.
01:22:27Well, that's fine, okay?
01:22:33Yeah.
01:22:34Cheers, yeah.
01:22:43Mm-hmm.
01:22:50Okay.
01:22:52Yeah.
01:22:56I guess the biggest contribution to mathematics that we achieved in this project is the raw algebra, okay?
01:23:09So, because we can use raw algebra to solve the Chinese remainder theorem in a very efficient
01:23:16fashion, okay?
01:23:18Yeah.
01:23:19Yeah.
01:23:20Yeah.
01:23:21Yeah.
01:23:22Yeah.
01:23:23Yeah.
01:23:24Yeah.
01:23:25Any linear.
01:23:26Chinese remainder theorem, you know, very efficient fashion, okay?
01:23:31Yeah.
01:23:32Yeah.
01:23:33Yeah.
01:23:34Okay.
01:23:35Yeah.
01:23:36Any linear.
01:23:37Chinese remainder theorem, that's one particular example of a system of linear
01:23:47dual font communication, okay?
01:23:48So, yeah.
01:23:49Mm-hmm.
01:23:50Oh, yeah.
01:23:51Yeah.
01:23:52We'll go over them, maybe, tomorrow, okay?
01:23:53Yeah.
01:23:54Times remainder theorem, that's the problem.
01:23:55Sure.
01:23:56Okay.
01:23:57Mm-hmm.
01:23:58Yeah.
01:23:59Okay.
01:24:00Yeah.
01:24:01Um, yeah.
01:24:02We'll go over them, maybe, tomorrow.
01:24:03Okay, yeah.
01:24:04Times remainder theorem, the problem, sure.
01:24:05Okay.
01:24:06Mm-hmm.
01:24:07Yeah.
01:24:08Okay.
01:24:09Okay.
01:24:24Mm-hmm.
01:24:25Yeah.
01:24:26Okay.
01:24:29Let's wrap up for this episode, okay, and then Instagram live, let's see, yeah, I guess we might do it, I'm not sure, okay, all right, yeah, let's wrap it up, okay, let's digitize this, okay, thank you, yeah, okay.
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