- 6/30/2025
re-deriving the correct formula
Category
🦄
CreativityTranscript
00:00:00hello friends welcome to friday and i love hunkily episode uh 214.4 happy sunday evening
00:00:13yeah midnight express okay yeah i uh watched this korean tv show filmed in uh 2015
00:00:23it's called the house of bluebird uh in youtube for free it's nice it's about uh actually
00:00:32getting a job so i can relate to that because uh i'm in the process of uh getting a job applying
00:00:41to jobs okay so that was part of the story it's very interesting and good language humorous korean
00:00:48language and uh yeah there are 30 episodes and then uh i have watched about 3.5 episodes so far
00:00:57it's nice yeah okay yeah so these days i'm uh between jobs so i need to save money
00:01:06so uh i'm kind of like almost like hybrid uh quasi semi hibernation where i sleep a lot
00:01:14save a lot of energy and spend uh minimum money and uh keep my activity to the minimum
00:01:22and applying uh two jobs yeah yeah at least two jobs a week okay yeah yeah so uh it's going well
00:01:31okay yeah i i it takes time that's just how it is okay so i've been unemployed before so i know how
00:01:37it is and i'm used to it okay so yeah it just takes time okay that's how it is okay and i went outside
00:01:46and did some running good and uh let's do some stretching okay okay
00:01:56that vocal exercise
00:02:06exercise
00:02:31okay i decide how it is it goes okay
00:02:34okay
00:02:55okay
00:02:59Wow.
00:03:29Really?
00:03:30Ah.
00:03:32Ah.
00:03:35What up?
00:03:51Hmm.
00:03:56I know it sounds freaky, but vocal exercise, and also even my stressing looks freaky sometimes.
00:04:17Honky Horror House, how about that?
00:04:19Welcome to Honky Horror House.
00:04:26Okay.
00:04:48Okay.
00:04:51Hello.
00:04:58Hello.
00:05:13Hello.
00:05:17Hello.
00:05:20Hello.
00:05:23Hello.
00:05:26Okay.
00:05:27Now, I'll finish my exercise.
00:05:32Now I'll finish your exercise.
00:08:26They still look so young.
00:08:28They look like in their 20s.
00:08:30Okay.
00:08:31So, fantastic.
00:08:32Yeah.
00:08:33Nice.
00:08:34Great role models there.
00:08:35than exercise. Okay, very cool. Now, let's do martial arts. Pretend this is a knife, okay?
00:08:48So it is a chopstick, okay? Yeah, like back grip, use your middle finger, use as a hinge
00:08:58point again, frontal grip, back grip, okay? Back grip, frontal grip, back grip, okay?
00:09:24Okay?
00:09:28Okay, good, good. Yeah, it strengthen your body, mind, and spirit, martial arts, okay?
00:09:43All right, five minutes break, thank you. Very cool.
00:09:48Ooh.
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00:14:48Humanology episode 214.4 happy Sunday evening yeah let's get back to
00:15:08mathematics this morning I worked on mathematics looking at the table and
00:15:16and to understand what's going on and came up with the formulas so I shall never do
00:15:25okay I annotated this table a little bit
00:15:35oh yeah
00:15:37uh-huh
00:15:40opening
00:15:44okay
00:15:46ah
00:15:48let's see
00:15:56sort of a sub-optimal hairstyle but I take away maybe tomorrow or something okay so
00:16:03and okay
00:16:07so first of all these elements what it represents
00:16:16we have base 7 right and here is a base 11 okay because I needed at least two tables okay to see some patterns here okay so
00:16:32let's look at base 11 table okay so
00:16:37this bigger table than base 7 table so that's why it's
00:16:42it's somewhat easier to see the pattern okay
00:16:45so basically what elements this element represents here e is equal to e is equal to
00:16:55um
00:16:59well
00:17:01it's more like this
00:17:05um
00:17:08you
00:17:10you
00:17:14you
00:17:15you
00:17:18you
00:17:19you
00:17:20you
00:17:22you
00:17:24I is E times J, row 11, whatever base, okay?
00:17:43Yeah.
00:17:44That's what we have here, okay.
00:17:51And we have round number, meaning like we will 1, 2, 3, 4, 5, and then next round 6, 7, 8, 9, 10, okay?
00:18:04Like 1, skip 2, skip 3, and then next round, first round, second round, third round, right?
00:18:11But for convenience, we'll call it 0 round, 0 round, fourth round, and second round, okay?
00:18:17And then round number corresponds to E, E is element, okay?
00:18:24Yeah, element E times 7.
00:18:39Quotient 11, okay?
00:18:41Well, actually, in the seventh column.
00:19:08I am sorry for the confusion, okay?
00:19:13So, R, round number, round index, is equal to E times J, quotient 11, okay?
00:19:38We have 1, 2, 3, 4, 5 times 2, okay?
00:19:51It becomes like I, right?
00:19:53So, okay?
00:19:552, 4, 6, 8, 10.
00:19:56And quotient 11, okay?
00:19:57So, meaning, when divided by 11, what's the quotient, okay?
00:20:10Euclidean division, okay?
00:20:11So, yeah.
00:20:12So, that corresponds to round number, okay?
00:20:16So, basically, it's been a long time since, probably a month by now, since I derived the formula.
00:20:33The formula has some errors, so we need to correct it, but it's partially correct formula, okay?
00:20:43So, I'm beginning to understand, like, how I derived that formula, but not 100% yet, okay?
00:20:50So, and also, the E element is I, which is the row index.
00:21:19So, row index, R is round index, okay?
00:21:25Yeah.
00:21:28J is the column.
00:21:32So, 0th round, and then 4th round, okay?
00:21:35So, here, I have 7 because, but that's for base 7, okay?
00:21:49So, but we are using base 11 now, okay?
00:21:52So, 11 times out, okay?
00:21:55Yeah.
00:21:56It's a lot, okay?
00:21:57And I, I'm not done yet, I don't have the right formula yet, but we are getting more understanding, okay?
00:22:09Yeah.
00:22:10Now, let's take 5 minutes break, okay?
00:22:13Yeah, I'm sorry if I'm going too fast, but, uh, we have, like, limited space here, so.
00:22:23All right, yeah.
00:22:24Okay, let's take 5 minutes break, thank you.
00:22:28Yeah.
00:22:29Yeah.
00:22:30There we go.
00:22:35There we go.
00:22:41There we go.
00:22:42There we go.
00:22:43No.
00:22:44No, no.
00:22:46No, no.
00:22:47No.
00:22:48No.
00:22:49Any comments?
00:22:50Many comments.
00:22:54And, besides
00:23:03of the холод other words, all the time, never you.
00:23:08If you have a backup of this world, all the time apart, με
00:25:42Yes.
00:25:50Here I am the bait.
00:25:53Here I am.
00:25:54Anyway...
00:26:00Let me get some drinks
00:26:21We'll have some
00:26:25Rose hips vodka
00:26:29It's one of my favorites
00:26:42I'm gonna feel this some more
00:26:56Okay
00:26:59And then uh let's look at this table together
00:27:17Hey
00:27:17And let me see the other small bottles too so that they don't go bad
00:27:36And let me see the other small bottles too so that they don't go bad
00:27:47Let me pour just a little bit
00:27:54So that they don't go bad
00:27:55I just got a battle for it
00:28:20Ah! This bear is so fragrant! Nice!
00:28:39Okay. Okay. Good.
00:29:04Now, so basically, the concept for the formula is this.
00:29:33R, we need to express R in terms of L or B, that's the base number. Right now, that's 11.
00:29:50Okay. So, and then I and J. Okay. Currently, what we have for R is E times 7, quotient 11 is R.
00:29:59Okay. So, it involves R. It involves E. But we want R to be expressed with just I and J. Okay.
00:30:08Okay. So, that's the difficult part of this formula. Okay. And we do have formula but it works in many cases.
00:30:26But it does not work in some cases. Okay. So, now, cheers.
00:30:47Let me get some Toms.
00:30:50Let me get some Toms.
00:31:02Let me get some Toms.
00:31:22Yeah.
00:31:39Oh, there is more seal now.
00:31:42Okay.
00:31:45Okay.
00:31:47Did I get it?
00:31:52I don't know.
00:31:59I don't see it on my hand.
00:32:01Oh, I can't see it.
00:32:03I do see the remnant of that mosquito.
00:32:07I think I got it.
00:32:08I think it fell to the floor, I think.
00:32:16Most likely no longer pose a threat because it's injured.
00:32:22I do see that mosquito.
00:32:25Let me discard that.
00:32:28Yeah.
00:32:31I see it.
00:32:34Okay.
00:32:37Yeah, so practicing martial arts, it really helps.
00:32:41You can be a better mosquito catch-all.
00:32:48This is one of my benefits.
00:32:54Yep.
00:32:56Let me discard that and wash my hands.
00:32:58Okay.
00:33:00Okay.
00:33:01Okay.
00:33:02Okay.
00:33:04Okay.
00:33:06Okay.
00:33:07Okay.
00:33:08Okay.
00:33:09Okay.
00:33:10Okay.
00:33:30Okay.
00:33:30Okay.
00:33:31Okay.
00:33:31Okay.
00:33:32Okay.
00:33:32Okay.
00:33:33Okay.
00:33:33All right.
00:33:33Okay. Cheers, yeah, mm-hmm, so this time we'll get it right, okay, the formula, because I kind of knew what's going on when I came up with the formula, but I forgot how I derived the formula,
00:34:01but the thing is, the formula is faulty, it works in many cases, but actually it works in so many cases, we just found a couple of counter-examples, at least one counter-example, okay, and so it's, we're almost there, basically, okay, but how they designed the formula, I worked out some examples and number crunching, okay, so,
00:34:31but that formula is wrong, so we'll just, we're basically doing it from scratch, okay, so, yeah, cheers, yeah.
00:34:40Mm-hmm, but it's good that we're redoing this, because now we have, like, clear understanding of what's going on, okay, so.
00:35:02So, we have, here.
00:35:21So, we have, here.
00:35:31Okay.
00:35:32Cheers.
00:35:41Cheers.
00:36:01Cheers.
00:36:01Cheers.
00:36:02Cheers.
00:36:02Cheers.
00:36:02Cheers.
00:36:02Cheers.
00:36:02Cheers.
00:36:02Cheers.
00:36:02Cheers.
00:36:02Cheers.
00:36:02Now, in general, Euclidean division, we have n is equal to divisor d times n quotient d plus n rho d.
00:36:27Okay, yeah. You can use R instead, large R, okay, for rho. Reminder. Then plug in these numbers, okay?
00:36:54n is e times a, okay? So, e times a is equal to 11 times r. That's quotient, right?
00:37:24i. Yeah, now we understand why this is like i plus 11 times r over n. Okay, good, good, good, good.
00:37:35Yeah, we are kind of like re-deriding this formula and at the same time we're kind of proving it, okay?
00:37:41So, that's good, okay? Once we get the formula, yeah, then it will be the proof, okay?
00:37:47This is great, okay? Yeah. Cheers. Nice.
00:37:52Now, the only task that we have left is we need to express R, the round number, round index, like in terms of
00:38:20i, j, i, j, and base number b or l. We sometimes call it b or sometimes l, okay? So, for now it's 11, okay? Yeah.
00:38:32That's the only task we have left and now we narrow down the problem, okay? Great.
00:38:39And to express R in terms of i, j, and l, l is the base number, here 11, I don't think it would be that difficult.
00:38:51Okay, yeah.
00:38:54It's, yeah, it shouldn't be that, it should not be that difficult, okay? Yeah.
00:39:03So, practice martial arts, okay? It boosts your self-confidence, it builds your self-confidence, okay?
00:39:19Yeah. Also, yeah, study, focusing on education and college development, okay? Yeah. Okay.
00:39:36It's been like 40 minutes, less than one hour, okay? Yeah. All right, five minutes left, okay? Thank you.
00:39:42Thank you. Yeah, like study foreign languages and stuff, yeah.
00:39:51Okay.
00:39:58Yeah, five minutes, thank you.
00:39:59Thank you, thank you.
00:42:54How did the mosquito get into my house?
00:43:06I think he followed me.
00:43:08Like, after I was smoking a cigarette outside, I think it could have been attached to me.
00:43:20It's creepy.
00:43:22Yeah.
00:43:24Okay.
00:43:28Okay.
00:43:30So express round number R in terms of I, J, and base number 11.
00:43:52Okay.
00:43:53I just construct up to seven, column seven.
00:43:56That's all.
00:43:58Okay.
00:44:00Okay.
00:44:06Okay.
00:44:08Okay.
00:44:10Okay.
00:44:16Okay.
00:44:17Okay.
00:44:18Okay.
00:44:19Okay.
00:44:20Okay.
00:44:21Okay.
00:44:29So this row number, that's like...
00:44:31Okay.
00:44:32Okay.
00:44:33Okay.
00:44:37Okay.
00:44:38Okay.
00:44:39Okay.
00:44:43Okay.
00:44:45Okay.
00:44:47Okay.
00:44:48Okay.
00:44:49Okay.
00:44:53Okay.
00:44:55Okay.
00:44:57Okay.
00:44:58Okay.
00:44:59Okay.
00:45:00Okay.
00:45:01Okay.
00:45:02Okay.
00:45:03Okay.
00:45:04Okay.
00:45:05Okay.
00:45:06Okay.
00:45:07Okay.
00:45:08Okay.
00:45:09Okay.
00:45:10I, roll, J.
00:45:28Okay.
00:45:29Okay.
00:45:39Okay.
00:45:40So this, we have r to the round index, okay, and then that goes from 0 to j minus 1, j is column number, okay, column index.
00:46:02Yes, the i rho j, yeah, and r and i rho j have same range, it's just a, sometimes they're exactly same, sometimes they're opposite order, sometimes they're like random, okay, except the zeros, okay, so, yeah, and it's kind of a permutation group, okay, so, yeah, cheers.
00:46:32So, we have base 7 and base 11, okay, yeah.
00:47:32Let me look at some of my notebook, okay, um, because we almost got a ride, okay, so almost.
00:47:42Let me look at some of my notebooks.
00:47:53Let me look at some of my notebooks.
00:48:04Let me look at some of my notebooks.
00:48:16Yeah, so in my notebook, I worked out this column 7 of base 11 table.
00:48:31Okay.
00:48:32Okay.
00:48:34Okay.
00:48:35Okay.
00:48:35Okay.
00:48:36Right, so in my notebook, I worked out this column 7 of base 11 table.
00:48:46Okay.
00:48:47Okay.
00:48:48Okay.
00:48:49Okay.
00:48:50Okay.
00:48:51Okay.
00:48:55Okay.
00:48:57Okay.
00:48:58Okay.
00:48:59Okay.
00:48:59Mm-hmm.
00:49:29What I wrote down, like, months ago is enigmatic, and I'm trying to understand, kind of, like,
00:49:59deciphering.
00:50:00Yeah, I'm trying to remember what I did here.
00:50:29Okay.
00:50:30What's its significance?
00:50:44Okay.
00:50:45Okay.
00:50:46Okay.
00:50:47Okay.
00:50:48Okay.
00:50:49Okay.
00:50:50Okay.
00:50:51Okay.
00:50:52Okay.
00:50:53Okay.
00:50:54Okay.
00:50:56Okay.
00:50:57Okay.
00:50:58Okay.
00:50:59Okay.
00:51:00Okay.
00:51:01Okay.
00:51:02Okay.
00:51:03Okay.
00:51:04.
00:51:34Yeah, it's a difficult problem.
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01:00:20I apologize for slow progress, but it's a difficult problem, okay?
01:00:28The formula that I came up with, which is partially correct, partially wrong, I would say like
01:00:38maybe 90% correct, 10% wrong, okay?
01:00:40Because it worked in so many cases, okay?
01:00:44And I'm trying to understand what I did in the past by looking at the notebook.
01:00:52I just don't remember what I did there, okay?
01:01:04Let's take five minutes back, okay?
01:01:06Oh, phew.
01:01:08We'll get there, okay?
01:01:10Yeah, but it's just taking long.
01:01:12It's been more now, okay?
01:01:13More than one hour.
01:01:14Yeah, five minutes break, please.
01:01:16Whew.
01:01:17This is people's problem.
01:01:18It's supposed to be, yeah.
01:01:20Okay, yeah.
01:01:21Five minutes break.
01:01:24Yeah.
01:01:25Yeah.
01:01:26We'll see you guys.
01:01:27Five minutes break.
01:01:34Yeah.
01:01:35Bye.
01:01:36Bye.
01:01:37Bye.
01:01:38Bye.
01:01:40Bye.
01:01:41Bye.
01:01:42Bye.
01:01:43Bye.
01:01:44Bye.
01:01:45Bye.
01:01:46Bye.
01:01:47Bye, bye.
01:01:48Bye.
01:01:50Bye.
01:01:51Bye.
01:01:52Bye.
01:01:53Bye.
01:03:54Okay, so in our working hypothesis, which has turned out to be wrong, but it's 90% correct.
01:04:10Okay, so let's come recycle the recurring terms there.
01:04:14Like we have i rho j, we have that.
01:04:18Now let's calculate j minus l rho j, okay?
01:04:25So, because that's very recurring term, okay?
01:04:27So, I'm going to use the small pen, okay?
01:04:35So, very limited space here.
01:04:37So, okay, we have i rho j here, i rho j, and we have l rho j, okay?
01:04:50Okay, which is 11 l rho j, okay?
01:04:5911 l rho j, okay?
01:05:0111 l rho j, 1.
01:05:0811 l rho j, 1.
01:05:1311 l rho j, 2.
01:05:1511 l rho j, 3.
01:05:1711 l rho j, 3.
01:05:1911 l rho j, 5.
01:05:2411 l rho j, 11 rho j, 11 rho j, 11 rho j, 11 rho j, 1.
01:05:4111, 1, 1, 1, 1, 1, 1, 5 minus 1, 4, okay?
01:06:0611 l rho j, 6 minus 5, 1, 6 minus 5, 1, 7 minus 4, 3, okay, okay, good.
01:06:20What we see here is this.
01:06:23When j minus 11 rho j is 1, in that case, it preserves the order.
01:06:30Okay, yeah, good, good, good.
01:06:34That's fantastic, okay?
01:06:37Okay?
01:06:39When j minus l rho j, 11 rho j is not 1, then it does some kind of permutation, okay?
01:06:51So, sometimes it's reverse, sometimes it's almost like random, okay?
01:06:57So, okay, we are making progress here, okay, good.
01:07:00Good, uh-huh.
01:07:07And let's move, copy and paste, put and paste this one up there, okay?
01:07:13So, we need this room here, if so.
01:07:17Making progress.
01:07:19Huh?
01:07:29Yeah.
01:07:34Cheers.
01:07:38Yeah, cheers.
01:07:45Mm-hmm.
01:07:50Do you buy Rojay here?
01:07:56And you have seven Rojay.
01:08:07One.
01:08:17E. It's one, but it's not preserving the order.
01:08:22Okay.
01:08:32It's good that we are making more examples.
01:08:38No, no, no.
01:08:40This is seven Rojay.
01:08:42Now J minus seven Rojay.
01:08:46Okay, so J minus one, two, one, three, five.
01:08:52Oh yeah, then it works then.
01:09:07Okay, okay.
01:09:09So it depends on J minus Rojay.
01:09:12If J minus Rojay is one, then it preserves the order.
01:09:20Okay.
01:09:21Otherwise, it's different permutation.
01:09:24Okay, good.
01:09:25Nice.
01:09:26Nice.
01:09:27Oh.
01:09:29Making progress here.
01:09:31Okay.
01:09:32Nice.
01:09:33Yeah.
01:09:34Cheers.
01:09:35Okay.
01:09:36Mm-hmm.
01:09:37Mm-hmm.
01:09:49Mm-hmm.
01:09:51Okay, okay.
01:10:21I mean, then obviously involves some multiplication, right, so what it seems to me is this, okay, so we have R here, so if we multiply,
01:10:51j minus 7 rho j multiplied by R, and then rho j, okay, so that same as i rho j.
01:11:21Okay, okay, so we multiply 2, yeah, 2 to 2, okay, 2 times 2, yeah, that's 1, okay, yeah.
01:11:43Yeah, 2 times 3, that's 6, so that becomes 1, 3 times 3, 9, that becomes 4, okay, 3 times 4, yeah, 12, that becomes 2, yeah, okay, that works, okay, yeah, 5, yes, yes, very good, mm-hmm, okay.
01:12:05Yeah.
01:12:07Yeah.
01:12:09Yeah.
01:12:11Yeah.
01:12:13Yeah.
01:12:15Yeah.
01:12:16Mm-hmm.
01:12:17Yeah.
01:12:18Yeah.
01:12:19Yeah.
01:12:20Yeah.
01:12:21Yeah.
01:12:23Yeah.
01:12:55Well, good to know.
01:13:01You found something.
01:13:10Uh-huh.
01:13:16Yeah, that works.
01:13:25Okay.
01:13:31Okay.
01:13:35Okay.
01:13:45Okay.
01:13:48Okay.
01:13:59Making some progress here.
01:14:00Okay.
01:14:01Good.
01:14:02Gosh.
01:14:10Time check.
01:14:13Okay.
01:14:18It's been more than one hour.
01:14:19Okay.
01:14:20Now, let's take five minutes break.
01:14:21Okay.
01:14:22We'll take five minutes break, and then...
01:14:25Actually, we made enough progress.
01:14:29Okay.
01:14:30I mean, it's not necessary that we find the correct formula today.
01:14:34Okay.
01:14:35We can do it tomorrow.
01:14:36Because it's a difficult problem.
01:14:37Okay.
01:14:38So, we are making progress.
01:14:39Let's digitize this, and then go to Instagram Live.
01:14:40Okay.
01:14:41Yeah.
01:14:42We did enough for today.
01:14:43Okay.
01:14:44Yeah.
01:14:45All right.
01:14:47See you soon.
01:14:48Yep.
01:14:49Mm-hmm.
01:14:50Yeah.
01:14:51Yeah.
01:14:52All right.
01:14:54See you soon.
01:14:55Yep.
01:14:56Mm-hmm.
01:14:57Yeah.
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