• last month
Transcript
00:00:00hello friends here welcome to humanology uh 2117 10 117 okay let's do
00:00:17front jump kick
00:00:23okay all right
00:00:25okay let's jump as high as possible okay
00:00:37okay ha ha front jump kick yeah very cool five minutes break clean thank you
00:00:44um
00:00:57thank you
00:01:14you
00:01:44so
00:02:02and
00:02:14you
00:02:44you
00:03:14you
00:03:44you
00:04:14you
00:04:44you
00:05:12okay
00:05:15you
00:05:17yeah happy wednesday and uh uh yeah i made an appointment to uh change the winter tire you
00:05:28know and uh when i forgot in the morning so i came back to my house then grabbed the tire and
00:05:35then barely made in time okay the appointment time to change the winter tire you know so
00:05:43it's all taken care of okay now let's go back to mathematics okay uh
00:05:51the calculation of some aberration from that pattern
00:05:59she's quite surprising and disappointing but we'll get to the bottom of that
00:06:03that's minus four so that's number 22 okay uh but most likely calculation is correct because
00:06:14yesterday we double-checked but uh this algorithm you call it plbc algorithm okay
00:06:25algorithm to find a principal left basal coefficient okay plbc algorithm
00:06:30uh there are several ways to do this it's kind of guessing game taking educated guess
00:06:36in the middle right but the full algorithm no guessing involved at all okay so do we
00:06:46kind of do like raw algebra and whatnot and uh
00:06:51let's do the full algorithm okay no shortcut this time
00:06:59yeah
00:07:18turn it to case okay
00:07:29so
00:07:38so d is difference okay is four so 18k
00:08:08row d row four is equal to
00:08:172k
00:08:20row four
00:08:21which should be
00:08:37two row four
00:08:42yeah or minus two row four but minus two row four is two row four okay so that's why it has to be one
00:08:47okay
00:08:51so it's correct calculation
00:08:59okay but worthwhile double checking here they are
00:09:11okay
00:09:11now let's just continue on
00:09:21we have a base a2
00:09:42oh i think i found the error okay yeah i found the error okay it's i think we are good when it
00:09:58comes to the pattern okay because i made a mistake here now i see where the mistake is okay uh because
00:10:08before this we have zero and one okay so okay i think i'm good
00:10:17with zero and one okay so then it will be
00:10:23one one one
00:10:27minus okay so
00:10:29okay so
00:10:3318 17 8 1 8 1 2 3 4 5 6 7 8 then 1 okay okay
00:10:59okay 1 2 3 4 5 6 7 8 and then 1 okay yeah okay yeah uh so i made an error so
00:11:13we still are following the pattern that's the great news okay
00:11:18it scared me quite a bit okay but it turned out to be my error okay now then let's copy again
00:11:27copy again
00:11:30no scary that was scary
00:11:44what are you
00:11:45it's still following the pattern just big relief so i was very concerned
00:12:06yesterday it deviated from the pattern because i made an error okay i skipped one number
00:12:14wow what are the what are in this
00:12:20so one one one zero one one one
00:12:31minus four minus seven
00:12:33like it should be
00:12:39one minus five minus two
00:13:03then one from here
00:13:09anti-symmetric okay yeah anti-parandromic meaning is reflection of the previous one except the
00:13:17opposite sign okay
00:13:32okay good we're back on track now
00:13:44then our brand new discovery of this pattern 2 1 pattern 2 1 2 1 2 1 perfect yeah minus 4 minus 4
00:13:52minus yeah it's the way it should be now perfect and this one
00:14:032 1 3 1 4 1 5 1 6 1 okay yeah as it should be
00:14:16and next
00:14:20it'll be minus 4 as it should be
00:14:24as it should be
00:14:31okay
00:14:35and this one minus 7 as it should be then it follows the pattern which is fantastic
00:14:45minus 7
00:14:55you
00:15:02then minus 2 minus 2 3 3
00:15:09one
00:15:16next
00:15:257 5
00:15:464 3 minus 3 minus 5 2 1 minus 2
00:15:502 2 1
00:16:034 3 minus 3 minus 5 2 1 okay 7 5 minus 5
00:16:20okay 7 5 now 7 5 next one
00:16:34minus 1 minus 4 minus 1
00:16:395 2 2 1
00:16:46then
00:16:46minus 2
00:17:07okay next
00:17:11cheers
00:17:12happy wednesday
00:17:17minus 2 okay 5 minus 1 3 minus 3
00:17:272 minus 7
00:17:362 minus 7 2 1
00:17:42next
00:17:50yeah minus 7 2 1 next minus 4
00:17:59minus 1 4 3
00:18:022 minus 3 minus 5
00:18:09then 2
00:18:121 next
00:18:246 minus 5 minus 4
00:18:283 minus 3 5
00:18:39okay next
00:18:43minus 4 4 minus 1 minus 7 minus 1
00:18:56next
00:19:037 5 4 7
00:19:13next
00:19:16minus 1 minus 6 4
00:19:28minus 4 minus 4 6 8 minus 1
00:19:311
00:19:36okay yeah system at the unimodulation method didn't quite work in the gold box conjecture
00:19:42proof well maybe i can kind of did actually okay so but it's working better in this case
00:19:49best coefficient was okay for all the origin most likely we are not dealing with prime numbers here
00:19:56okay yeah which is quite surprising okay yeah now let's take five minutes bro okay yeah if you
00:20:02want to start some more patterns like it could be vertical horizontal diagonal patterns okay
00:20:07or combination of those okay if you want to find spot more disco more patterns okay go for it okay
00:20:14if you want to yeah five minutes thank you yeah i'm glad very happy uh very relieved that we are
00:20:20back on track now yeah good fantastic
00:20:29there we go
00:20:34okay yeah five minutes thank you
00:20:50you
00:21:20You
00:21:50You
00:22:20You
00:22:32You
00:22:50Now, let me start drinking a little bit, okay?
00:23:05I'm very glad that we are back on track.
00:23:08Back to the Peron, yeah, whew, I was concerned, like this aberration from Peron, I'm like
00:23:20But it turned out to be resulting from my mistake, that's good, yeah.
00:23:30Yeah, yesterday our friends in the Instagram live asked me how many drinks do I drink.
00:23:36I said five, but that's not true.
00:23:40How about three, okay? Yeah, cheers.
00:23:44Maybe less than that even, every night. Why?
00:23:49And these plastic bottles are not airtight, not watertight, it's quite porous.
00:23:56So the alcohol evaporates.
00:23:59So, yeah, it's vodka, but evaporated vodka.
00:24:03Not diluted though, I don't put any water in there.
00:24:06But same effect, less alcohol.
00:24:10Probably at the degree of, like, wine, I guess.
00:24:14Okay, so, yeah.
00:24:18And how many drinks do I drink then, every night?
00:24:24I would say two to three.
00:24:26I don't think it would be as much as five, I don't think so.
00:24:30Because I drink very slowly, very small sip.
00:24:34That's it, like, extremely small amount.
00:24:38I would say one to three drinks every night, okay?
00:24:42But I'm pretty sure it's more than one. Why?
00:24:45Every night I get drunk, right?
00:24:49And do I get drunk if I just drink one drink?
00:24:56Maybe, but I think it's more than one drink.
00:25:00More than one drink. Maybe two to three drinks every night.
00:25:03Okay.
00:25:06Yeah.
00:25:08Not much at all.
00:25:10Okay.
00:25:12We're back on track now.
00:25:15So, we looked at some diagonals.
00:25:28Third diagonal.
00:25:34Two, minus one, three, minus one, yeah.
00:25:41Five, six, seven, eight, minus one.
00:25:45Now, fourth diagonal.
00:25:54Minus two, one, two.
00:25:56Minus three.
00:25:58Dot, dot, minus four.
00:26:01Dot, dot, minus five.
00:26:04Dot, dot, minus six.
00:26:10Then minus one.
00:26:16Okay.
00:26:39Okay.
00:26:49Let's slow down a little bit here.
00:26:51Cheers.
00:26:53Mm-hmm.
00:26:57Fifth diagonal.
00:27:11One, minus two.
00:27:13Dot, dot, dot, minus three.
00:27:18Dot, dot, dot, minus four.
00:27:24Dot, dot, dot.
00:27:30Minus four.
00:27:31Dot, dot, dot, minus one, four.
00:27:52Now, fifth diagonal.
00:27:56One, minus two.
00:28:03Two, three, four, five.
00:28:07One, minus two.
00:28:08Dot, dot, dot, minus three.
00:28:12Dot, dot, dot, minus four.
00:28:17Dot, dot, dot.
00:28:20Dot, dot, dot, minus one, four, four.
00:28:23Okay?
00:28:25Minus one, four, four.
00:28:26Okay.
00:28:28Booyah!
00:28:30Cheers.
00:28:31Yeah.
00:28:40Now, let's look at fourth column.
00:28:47Okay.
00:28:50Well, I have some vocal rest, okay?
00:28:57If you want to find all the patterns that exist in this fourth column, go for it, okay?
00:29:05Yeah.
00:29:06We found one, okay?
00:29:07We found several, actually.
00:29:09Minus two, minus three, minus four.
00:29:11We skipped two, basically, okay?
00:29:14We have two more patterns to be discovered.
00:29:17And we actually found second one, okay?
00:29:20Third one, go for it, if you know.
00:29:22Find pattern here, okay?
00:29:23Yeah.
00:29:25Skip two, okay?
00:29:26Yeah.
00:29:28Number, dot, dot, number, dot, dot, number, dot, dot.
00:29:31Okay?
00:29:32Yeah.
00:29:33So, there should be like three patterns, okay?
00:29:35Yeah.
00:29:36If you want to find it, go for it, okay?
00:29:38Yeah.
00:29:40Okay.
00:29:41Fantastic.
00:29:43Yeah.
00:29:44Okay.
00:32:12So, we are doing induction.
00:32:13We were making a lot of examples by systematic enumeration method and then finds some pattern.
00:32:24Once we find some, find the older patterns, then we can come up with a formula, inductive
00:32:30formula, okay?
00:32:31After that, yeah, we can prove that deductively.
00:32:34So we do both deduction and induction back and forth, okay?
00:32:37Yeah, welcome to Humanology. Okay. Yeah, cheers. Yeah
00:32:47So let's use colors
00:32:52And let me turn off the heater outside the living room
00:33:07Yeah, let's color this, okay? Fourth pattern
00:33:28Minus two
00:33:31Minus three minus four
00:33:33Yeah, skipping two numbers and minus five and minus six minus seven, okay
00:33:38Yeah, these numbers are guessed but it should be true. Okay, this pattern works. Okay. Yeah
00:33:47Now
00:33:50Next pattern we have two
00:33:55Three four five six
00:34:01Okay
00:34:06Then next one minus one minus one
00:34:15Four minus one. Yeah, that that that one is more tricky
00:34:26It is not obvious at all
00:34:31Yeah
00:34:35But it's possible that I made some calculation error there too, I don't know okay, but
00:34:43Now let's go to fifth column, okay
00:34:52Minus two
00:34:53Now skip three. Okay
00:34:55minus three minus four
00:34:58Minus five just guess the number
00:35:01Okay
00:35:04Next one
00:35:06Two skip three three skip three four, okay
00:35:23Next one
00:35:26Two skip three three skip three four. Yeah, two three four. Sure
00:35:36Next one
00:35:40One skip three
00:35:43Minus one skip three
00:35:45minus one
00:35:47Yeah, okay. So just like before one minus one minus one four minus one
00:35:54Four minus one
00:36:01Uh, my guess is this okay, you're one minus one
00:36:11Minus one four minus one. My guess is that this four
00:36:17You have one minus one minus one right I think it should be one minus one and minus one all the time
00:36:23Okay, that's that was my guess. Okay, so
00:36:26We have one minus one minus one and then we have four right?
00:36:31This I think probably should be minus one
00:36:38That was my guess okay, so let's recalculate that
00:36:47Cheers
00:36:53Oh
00:36:55That one is
00:37:00Port I don't know
00:37:19This one
00:37:23You
00:37:27No, it's not that one it's actually this one right here
00:37:48Okay
00:37:53So
00:38:11It is minus one because it's symmetric from that one four one seven, right so
00:38:23You
00:38:33Minus one seven
00:38:36It should be minus one. Okay. Yeah, just like we predicted
00:38:40Correcting mistakes from the known pattern excellent
00:38:49So devs minus one
00:38:52Which means
00:39:05This is minus one
00:39:12Okay, so one seven
00:39:18One
00:39:20Four
00:39:24One this will be minus one as well
00:39:29Many mistakes
00:39:37Then two two, okay and
00:39:40And
00:39:49We need to change here and here too, okay, so
00:40:11You
00:40:16Minus one four three
00:40:20Minus one four three then it's not two but it's minus one. Okay minus one four three
00:40:32Okay
00:40:35You
00:40:38Yeah, you belong to six diagonal so we don't have to change anything here, okay good yeah
00:40:48Awesome
00:41:00Good
00:41:02We are
00:41:33You
00:41:42Okay, so
00:41:44Cheers a lot of patterns going on
00:41:49So there's some uh
00:41:51Diagonal vertical pattern here, right? Yeah, two one two one
00:41:56Two one two one two one two one two one. Okay
00:41:59And next one. Yeah, three one
00:42:02Skip three one skip three one skip
00:42:06Three one, okay
00:42:08Then uh, we'll have four one
00:42:12Skip skip four one skip skip four one. Yeah, so
00:42:17This uh matrix is very uh orderly orderly system
00:42:23Which is quite surprising
00:42:25Cheers
00:42:33Yeah
00:42:41Yeah
00:43:02You
00:43:25Um
00:43:33Yeah
00:43:35So the diagonal pattern is like a
00:43:39linear like two three four five
00:43:42and then
00:43:44Also linear like minus two minus three minus four minus five. Otherwise
00:43:48Minus one minus one minus one minus one minus one. Okay, so yeah
00:43:55Fantastic yeah, cheers. Yeah
00:43:58Good
00:44:02Hmm
00:44:12Okay
00:44:19Now
00:44:23We uh examined diagonal pattern, right
00:44:29Now
00:44:31Let's examine horizontal pattern for each row
00:44:36Are there some patterns?
00:44:38Hint yeah skipping method that skip one skip two skip three. Okay, sounds like okay
00:44:45There we are next time
00:44:48If
00:44:49If you want to find some horizontal pattern go for it, okay
00:44:52You just need to look at one half because the other half
00:44:56is symmetric
00:44:58Over the fourth half kind of palindromic except for the sign
00:45:03Yeah fourth half
00:45:04times
00:45:05Minus one then you get the second half, you know palindromic fashion. Okay. Yeah symmetry
00:45:12Okay
00:45:14Yeah
00:45:16Horizontal symmetry, okay. Yeah, let's take five minutes. Thank you time check
00:45:22Highly productive day today
00:45:26Yeah, it's been less than one hour
00:45:28Okay
00:45:30Yeah, thanks, thank you
00:45:33Very cool
00:45:37Amazing
00:45:39Yeah
00:45:48Angle adjustment with my math wand
00:45:52Yeah
00:45:57Yeah, this handle wouldn't handle from plunger, okay, yeah
00:46:01Most likely from walmart, okay
00:46:03Five minutes. Thank you
00:46:04Yeah
00:46:10Okay
00:46:13Hey
00:46:22You
00:46:52You
00:47:22You
00:47:52You
00:48:22You
00:48:33Okay
00:48:39So we are making great contribution to mathematics like
00:48:43systematic enumeration method row algebra and
00:48:47uh
00:48:48inductive formulation
00:48:51pattern recognition
00:48:53Right. Yeah, good stuff. Yeah, fantastic. Yeah
00:49:01Cheers welcome to human arts. Yeah
00:49:18Let me refill some vodka through these bottles
00:49:23Yeah
00:49:27Well, I skipped running today because my feet need some rest otherwise get too sore and uh
00:49:33also just
00:49:35transferring the four tires from my
00:49:39External storage hot to my car
00:49:41To my car
00:49:42twice
00:49:44Once in winter tire second summer tire, right?
00:49:47Oh, that's great exercise right there. So
00:49:53Yeah
00:49:56That was my show exercise today
00:49:59Hmm
00:50:09I know some different vodka. Oh, this needs refill. Yeah
00:50:17Yeah
00:50:24Here we did diagonal pattern recognition
00:50:30Next horizontal pattern recognition
00:50:33after that
00:50:35vertical
00:50:37pattern
00:50:39Recognition, okay
00:50:41Yeah, cinder works
00:50:46Yeah
00:50:54Let me see
00:51:01Yeah
00:51:07Yeah
00:51:17Yeah, there we go
00:51:23Let me some fire with vodka
00:51:30It tastes really good, yeah
00:51:35Spring leaves or firewood
00:51:40Cheers
00:51:46Hmm
00:52:00Horizontal pattern recognition
00:52:16So
00:52:32Yeah, let's draw some dividing lines just before the symmetry, okay, so
00:52:47Wouldn't it green I guess well red orange
00:53:05Hey not up there
00:53:14How about that
00:53:16Hmm
00:53:46Hmm
00:54:14Okay
00:54:17When there are like
00:54:20Odd numbers then you have one central number and then first half second half. Okay, but when they're even numbers
00:54:27Then yeah, there's no middle number central number. Okay, it's just like
00:54:32For seven seven
00:54:36Yeah
00:54:41But
00:54:43When there is central number
00:54:47The central number is always one
00:54:51Okay, there's a pattern good, okay
00:54:58And when there's no central number at all
00:55:04The number right next to center is always two and minus two
00:55:09Pattern there, okay
00:55:13It's always minus two on the
00:55:16Left half
00:55:19When there's no central number, okay. Oh, how cool is that?
00:55:23Because
00:55:47Cheers
00:55:53Hmm
00:56:24You
00:56:28Okay, now let's do a vertical pattern, okay, so
00:56:45Yeah, like minus one dot dot minus two
00:56:54You
00:57:00Minus one dot dot dot minus two dot dot dot minus three. Okay, okay
00:57:06Yeah, uh look uh
00:57:11I think we did not enough mathematics tonight. Okay, so, uh, it's we did a lot so, uh, I'll rather
00:57:19Take a break. Okay. Yeah. Uh
00:57:24Yeah
00:57:26We made big progress today, okay, so yeah cheers, yeah
00:57:35We'll do more tomorrow maybe otherwise we'll take a break from mathematics for a couple of days, okay
00:57:42because uh
00:57:44We don't want to overdo this
00:57:47Okay. Yeah
00:57:51Okay
00:57:53Yeah
00:57:58Yeah
00:58:03Yeah
00:58:06But great progress, yeah
00:58:13Error correction
00:58:17Yeah
00:58:23Error correction
00:58:25Yeah, just relax
00:58:37Let's take five minutes break, okay. Yeah
00:58:42And
00:58:45Yeah, it's still almost one hour so we're gonna add it to one hour, you know, so after that yeah facebook live of course
00:58:52Okay
00:58:56All right
00:59:01Okay, thank you cool
00:59:08Good times
00:59:21You
00:59:51You
01:00:21You
01:00:51You
01:01:21You
01:01:42You
01:01:51You
01:02:08So in japan, there's this concept like eat like 80 percent of your stomach capacity
01:02:15In korean word so sick. It means like eat little okay. Yeah
01:02:21Yeah, that's good lesson. Yeah, like I eat multiple times a day, but each time kind of small amount. Okay, so
01:02:29Okay. Yeah
01:02:31that's good for health because it
01:02:33Does not give too much stress to stomach, you know, yeah
01:02:38Yeah, and I applied it in smoking too. Okay, I smoke
01:02:43less than
01:02:46What I like to smoke, okay, so maybe uh, one fifth of cigarette each session, okay. Yeah, so cheers, okay. No, okay
01:02:59So, yeah
01:03:00Later on our goal is this. Okay. This is like matrix
01:03:05Ij ith row and jth column
01:03:09then given the row number and column number i and j
01:03:13we can
01:03:15formulate a formula
01:03:17or algorithm
01:03:18Same thing like I was in bracket. Okay, we know how to compare algebra and bracket to
01:03:23regular algebra, right? Yeah, so
01:03:26Okay, so that's our goal. Okay, uh given
01:03:30this matrix, okay
01:03:33It's first half triangular because the other half is
01:03:37repetition, okay, so
01:03:39infinite matrix two-dimensional, okay
01:03:42yeah, so given the
01:03:45uh
01:03:46row number i and column number j and then
01:03:51What's the number
01:03:54In ith row and jth column
01:03:57expressed with
01:03:59i and j only
01:04:01That's our rule
01:04:03Okay
01:04:06How cool is that, okay
01:04:08And we are getting close because we recognize some pattern here many patterns
01:04:12Okay, horizontal vertical diagonal even diagonal patterns, okay, so
01:04:17It'll be a matter of time. How long will it take?
01:04:20uh
01:04:21I'll say one week
01:04:26Okay, that'll be my guess
01:04:30It could be more or less than one week, okay, so
01:04:34Cheers, yeah, uh, it could take more than one week. I don't know. Okay. Cheers. Yeah
01:04:43Hmm
01:04:55So that's some formula, okay. Yeah
01:05:01P function two inputs row number and column number, okay in this matrix
01:05:08Yeah, some function of i and j, okay
01:05:13So
01:05:16So that's our goal here
01:05:23Yeah
01:05:27If you find that
01:05:29We don't need the pre-knowledge of what the greatest common divisor of two input numbers are
01:05:37We don't even need to know that
01:05:39For now making these examples
01:05:41We assume that we know what greatest common divisor of two input numbers are okay, but once we find the patterns
01:05:51Then we don't we will not need greatest common divisor at all
01:05:56No pre-knowledge of greatest common divisor necessary
01:06:01Okay, yeah
01:06:03It's it's like machine learning artificial intelligence neural network your training set
01:06:10Who's like protein folding? Yeah
01:06:14three-dimensional
01:06:15structural protein
01:06:19Known by crystallography
01:06:24This x-ray kind of okay. Yeah
01:06:27Yeah, so we train this artificial neural network like perceptron. Okay
01:06:32And uh with known examples after that
01:06:37Yeah, this artificial neural network can predict
01:06:41a brand new proteins three-dimensional structure
01:06:45This artificial intelligence. Okay. Yeah
01:06:48Based on known patterns
01:06:51Okay, so it's kind of like that what we are doing here. Okay, so it's good that I studied computational
01:06:57biology
01:06:59bioinformatics, okay
01:07:01Cheers. Yeah
01:07:04Yeah, it's like I said it's same methodology
01:07:09Okay. Yeah. Cheers. Yeah induction. Okay. Yeah
01:07:16Okay
01:07:17So, uh, let's digitize this episode and then let's go to Instagram live. So five to ten minutes, bro. Okay. Yeah. Thank you
01:07:24Yeah, my proud future leaders
01:07:27Much art educate continue education quality better. Okay. Yeah. Thank you
01:07:32Do exercise. Okay. Yeah. Thank you. Good rest as well. Thank you