• 2 months ago
Transcript
00:00:00Hello friends, welcome to Friday Night Funkily episode 174.5, yeah I took a bath so that's
00:00:16why I look young actually. Yeah okay, happy Sunday evening. Okay.
00:00:35Martial arts.
00:00:46Okay. Let's do rod, okay? Yeah. Yeah. This is like a, yeah, if you pretend this is like
00:01:08sword, sometimes they do like stylish like posture like that, right? Yeah.
00:01:20Right?
00:01:28Back grip, right? Frontal grip?
00:01:38Okay, back grip.
00:01:54Okay, good enough. Yeah, good exercise there. Yeah, it's kendo basically. Yeah, sure.
00:02:00All right, five minutes, thank you. Okay, nice.
00:02:23Yes.
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00:07:30Welcome to
00:07:34Brian and Alabama,
00:07:35episode 174.5.
00:07:39Should I do mathematics?
00:07:45I think we can, yeah, sure.
00:07:49Okay.
00:07:56Okay.
00:08:03Okay.
00:08:20Yeah.
00:08:22We have some tones.
00:08:40I guess I get younger every day.
00:08:43Yeah, it's good.
00:08:53All right.
00:08:57Yeah, this is like, do you mind hypothesis days making a race okay but they were published. And so we don't need this. Okay, yeah.
00:09:08Okay.
00:09:15Yeah.
00:09:17Sometimes, sometimes that trolls, like pranksters, sometimes that domestic sometimes international foreigners, and quite recently does this guys, they said they know you create a language, maybe they do but I asked them how to say hello and thank you.
00:09:40And they said to me, so I blocked them. Okay.
00:09:43That I followed up I had to check.
00:09:47Hello in Russia is previous. Hello in Ukrainian. Previous.
00:09:56Thank you in Russian spasiba.
00:09:58Thank you very much for choice possible in Russia.
00:10:02Ukrainian language.
00:10:09I think it's a translator from thank you, like, like, h in three languages kind of look like left side that flipped and.
00:10:21So, THA is going to tear. Okay. Yeah, dear.
00:10:27Thank you to you. Okay, so dear to you. Okay, yeah.
00:10:32Thank you very much, very much in Ukrainian.
00:10:37Those are dear to you. Okay, yeah.
00:10:42Hello. Hello.
00:10:47In Ukrainian. Yeah, well it's good. I'm learning. Okay, so, but they say something like, Hello is a Piedras is not Piedras is storms in Spanish.
00:11:00Okay, yeah.
00:11:02Yeah, so I brought those people.
00:11:06Sometimes tools.
00:11:08Yeah, sometimes that domestic sometimes that for you. Okay, yeah.
00:11:12Yeah.
00:11:20When I realize that roles. Okay.
00:11:25Now, mathematics.
00:11:28Yeah.
00:11:30Cheers.
00:11:35Your.
00:12:04Okay.
00:12:22Now, let's do basics church.
00:12:31Yeah, to go back. So, that's why I look young and clean. Okay. Yeah.
00:12:36Yeah, it's.
00:12:45Whatever.
00:12:47Yeah.
00:12:48Okay, yeah.
00:12:54And see what initial best pairs, looks like principle best pairs. Okay.
00:13:23Oh, no.
00:13:31Okay.
00:13:40This can be one, this can be zero.
00:13:42Doesn't really matter. Okay, so.
00:14:11Okay.
00:14:30Okay.
00:14:43Wow.
00:14:51Oh,
00:14:55one is two.
00:14:57Okay. Yeah.
00:15:17Three.
00:15:40Yeah, checking windows closed. Okay. There's nobody else in the, in the, in this house. Okay. And there's no ghost, except Holy Ghost. Okay.
00:15:50I'm making sure the windows closed. That's all.
00:15:54Okay.
00:16:01I don't believe in ghosts, except Holy Ghost. Okay. Yeah.
00:16:07And I don't think the aliens.
00:16:36Okay.
00:16:45Yeah, Chris comes back to 12 and six. Okay.
00:16:53Yeah, it makes sense to zero here because, yeah, in that way, multiple. Yeah.
00:16:59Okay. Yeah.
00:17:30Okay.
00:17:54Okay.
00:18:24Okay.
00:18:25One, one, one. Minus one, minus one. One, one, one, minus one, minus one. Okay.
00:18:29Okay.
00:18:30Okay.
00:18:31This seems to be the pattern.
00:18:32Okay.
00:18:33Okay.
00:18:34Okay.
00:18:35Okay.
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00:19:00Okay.
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00:19:55Okay.
00:19:56Okay.
00:20:01Okay.
00:20:071, 1, 1, minus 1, that's all, 1, 1, 1, minus 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
00:20:371, minus minus 1, less than 0, 2.
00:20:47Two more.
00:20:49Okay, okay, good.
00:20:53Nice, let's take final strength, okay?
00:21:04Let's take five minutes break, okay?
00:21:07So gradients divide, common divider between the left number and the right number, okay?
00:21:14Argument and base, okay?
00:21:18And then base coefficient, linear combination of two input numbers, okay?
00:21:25Yeah.
00:21:26Five minutes break, okay?
00:21:28Yep.
00:21:29There we go, thank you.
00:21:41Okay.
00:21:44It's chilly.
00:23:53Okay.
00:24:23Let me try something stronger.
00:24:40Dragon drink, sure.
00:24:50So, quite recently I posted pictures of baby octopus in the social media, and today NPR
00:25:09was having some show about octopus.
00:25:13Oh, nice.
00:25:15Cheers, yeah.
00:25:18They talked about baby octopus, too, so I was wondering, are they kind of monitoring
00:25:24my social media posts?
00:25:26They could be, I don't know.
00:25:28Okay.
00:25:29But they're welcome, too.
00:25:30Okay.
00:25:31They're welcome, too, okay?
00:25:39Yeah.
00:25:40Cheers.
00:25:42Yeah, but in social media, I cover so many things, so it could be just coincidence, I
00:25:50don't know.
00:25:52Okay.
00:25:53What would be our next step?
00:25:58Come up with formula?
00:26:02Well, that's easy, it's pointless to do so because, yeah, it's too easy, okay?
00:26:11It's a smacking problem.
00:26:21Now, right Bezier coefficient, 1, 1, 1, 2, 2, then 1, 2, 2, 2, 3, 3, then 1, 3, 3, 3,
00:26:344, 4, 4, 4, 4, 5, 5, okay.
00:26:37Yeah, there's a pattern there.
00:26:41Sure.
00:26:53What we are looking for is this, okay?
00:27:00It may have to do with whether this base number is prime number or composite number, okay?
00:27:06When base is 5, it was like 1, 2, 2, 1, okay?
00:27:12Here, 1, 1, 1, minus 1, minus 1.
00:27:16When base was 5, it's 1, minus 2, 2, minus 1, okay?
00:27:25Basically, 1, 2, 2, 1, okay?
00:27:27Here, 1, 1, 1, 1, 1.
00:27:32Okay.
00:27:35Yeah.
00:27:43Yeah.
00:27:59But what we realize is that both in base 5 and base 6, left Bezier coefficients are periodic.
00:28:15In base 5, 0, 1, minus 2, 2, minus 1.
00:28:200, 1, minus 2, 2, minus 1, okay?
00:28:23Yeah.
00:28:24Good to know.
00:28:27We're talking about principal Bezier coefficients, left Bezier coefficients, okay?
00:28:31Left principal Bezier coefficients, okay?
00:28:34So here, 0, 1, 1, 1, minus 1, minus 1.
00:28:37It repeats itself.
00:28:39Good to know.
00:28:42Once we know what left Bezier coefficients is, then to calculate right Bezier coefficients is easy.
00:28:48Okay?
00:28:49Yeah.
00:29:09So there are multiple excesses.
00:29:11Excess.
00:29:13Excess.
00:29:15Excesses.
00:29:16Okay, whatever.
00:29:17Don't know what that is.
00:29:20We are looking at initial Bezier coefficients.
00:29:24Principal Bezier coefficients for base 6, okay?
00:29:29So a couple days ago, what we did was, given these two inputs, we looked at all the Bezier coefficients for given two inputs.
00:29:51Okay?
00:29:52Yeah.
00:29:55Yeah, this is a big project, okay?
00:29:57There are multiple dimensions to generalise.
00:29:59Okay?
00:30:03Okay?
00:30:08Yes.
00:30:28Next step.
00:30:32Wow.
00:30:38Instead of making number 2 big, let's look at base 4, base 3, and base 2.
00:30:44Okay?
00:30:45Yeah.
00:30:47Then we may look at base 7.
00:30:49Okay?
00:30:50Yeah.
00:30:53We have base 5 over there.
00:30:58Now, problem statement.
00:30:59Let's go to base 4.
00:31:00Okay?
00:31:01Yeah.
00:31:58Okay.
00:32:07Yeah, looks like the repeating pattern is 0, 1, 1, minus.
00:32:35Okay?
00:33:06Cheers.
00:33:09Yeah.
00:33:141, 1, minus 1, 1, 1, minus 1.
00:33:361, 1, minus 1.
00:33:571, 1, minus 1.
00:34:04Okay?
00:34:05Yeah.
00:34:12Sure.
00:34:15Okay.
00:34:18That's enough.
00:34:25Now.
00:34:54Okay.
00:35:17Okay.
00:35:46So, 0, 1, 2, 0, 1, 2.
00:36:15Yeah, it has to be row algebraic because it's periodic.
00:36:32Okay?
00:36:33So, our next step is to understand why it is periodic like this.
00:36:38Okay?
00:36:39Yeah.
00:36:40Sure.
00:36:42Okay.
00:37:10Okay.
00:37:18Systematic enumeration method.
00:37:240, 1, 2.
00:37:380, 1, 2.
00:37:390, 1, 2.
00:37:40That's enough.
00:37:41Okay?
00:37:42Yeah.
00:37:44Now, case of 2.
00:38:04You want to do this?
00:38:05Go for it.
00:38:06Okay?
00:38:07Yeah.
00:38:08Let's take five minutes for that.
00:38:09Okay?
00:38:11Yeah.
00:38:12Yeah.
00:38:13Yeah.
00:38:14Okay.
00:38:15I want to make it.
00:38:16If you want to, okay?
00:38:17Go for it.
00:38:18Okay?
00:38:19Yeah.
00:38:20There we go.
00:38:21Okay.
00:38:23Five minutes.
00:38:25Okay.
00:38:27Five minutes.
00:39:42you
00:40:12you
00:40:42you
00:41:12you
00:41:42you
00:42:12you
00:42:42you
00:43:12you
00:43:42you
00:44:12you
00:44:42you
00:45:12you
00:45:24you
00:45:36you
00:45:42you
00:45:52you
00:46:04you
00:46:12you
00:46:24you
00:46:36you
00:46:42you
00:46:52you
00:47:02you
00:47:12you
00:47:23you
00:47:30you
00:47:42you
00:47:54you
00:48:06you
00:48:12you
00:48:22you
00:48:32you
00:48:42you
00:48:53you
00:49:03okay welcome back your bed
00:49:08yeah making sure i turn on the heat up
00:49:11so let's take a break from mathematics a little bit okay so
00:49:16yeah let's talk about spectator sports like football baseball basketball soccer
00:49:21uh what have you like uh ice hockey and
00:49:26yeah i don't watch them at all okay but i appreciate them yeah spectator sports
00:49:33it's healthy hobbies
00:49:35it's neutral it's not has nothing to do with politics so
00:49:39yeah relaxation yeah spectator sports okay oh sure sure i appreciate them
00:49:49these are the only sports i watch is like martial art movie clips
00:49:53all right martial art demonstration in youtube okay when we do festival live sometimes okay
00:49:59yeah i learn from their moves because i practice martial arts myself okay yeah
00:50:05okay
00:50:07yes
00:50:10uh yeah i like watching ping pong but this day i don't i just don't have time
00:50:16yeah table tennis very interesting to watch okay it's magical okay
00:50:20or like hitting the point from far away oh fantastic
00:50:26i'm like decent at it table tennis ping pong you know
00:50:30okay let's go
00:50:36you
00:50:48you
00:51:02you
00:51:05you
00:51:13yeah 0 1 0 1 0 1 sure
00:51:36you
00:51:46so you'll be minus 1 minus 2 minus 3 minus 4 yeah sure sure
00:51:53that's that okay yeah good
00:51:57you
00:52:01yeah first for the long break i have to go to bathroom okay uh pump check
00:52:09it's been less than one hour okay
00:52:14now next step let's go to base seven
00:52:28you
00:52:33cheers
00:52:39okay
00:52:42you
00:52:56time to look for some head on here
00:53:05not so obvious so far okay
00:53:12you
00:53:17uh
00:53:22continue until we see some pattern okay yeah
00:53:41you
00:54:12you
00:54:15you
00:54:36interesting yeah there's a fluctuation going up and down okay
00:54:45you
00:54:53interesting head on
00:54:56huh
00:55:01i like this cheers
00:55:08you
00:55:14you
00:55:32in a normal game
00:55:45you
00:55:53kind of playing sanitary like card game right alone yeah sure cheers
00:56:00what a good hobby for sanitary guy like me mathematics this yeah cheers
00:56:10i'm blessed
00:56:15uh
00:56:27okay
00:56:31so 1 minus 3 minus 2 2 3 1 that polandrome that's symmetric
00:56:45you
00:56:48just like in the number 5 case like 1 2 2 1 here 1 3 2 2 3 1
00:56:58but here it's not it's 0 1 2 yeah it's not quite symmetric there but
00:57:05you
00:57:12uh
00:57:15yeah let's repeat itself why is it periodic we do not know yet it has to
00:57:20with the raw algebra okay so okay yeah uh we figured out later why is
00:57:28periodic repetitive okay we figured out later for now uh we'll just enumerate
00:57:33okay so to get better understanding of the pattern okay yeah cheers
00:57:41hmm
00:57:58you
00:58:16uh
00:58:27yeah so 17 one less or one more like 16 18 that's not multiple of 7 okay so
00:58:35but uh
00:58:3870 times 2 yeah 34 yeah that's one less than 75 which is multiple of 7 okay yeah
00:58:46yeah like minus 2 there
00:58:50you
00:58:53okay what's like magic
00:58:57one three two next one if it two okay
00:59:08you
00:59:19you
00:59:23uh next ev3 but to double check okay well actually
00:59:50you
00:59:5757 okay
01:00:0656 okay yeah
01:00:12next it will be minus 1
01:00:15you
01:00:18ah beautiful
01:00:32beautiful symmetry
01:00:36you
01:00:44this is so cool it's beautiful
01:01:00okay
01:01:03so it's kind of like a
01:01:08polyndromic symmetrical okay one three two two three one one three two two three
01:01:16one is polyndromic and also the sign reverses like plus one minus one minus
01:01:24three plus three minus two plus two okay and if it was just like that in a base
01:01:28five it was like one two two one but one minus two plus two minus one okay
01:01:35yeah it's part of the same pattern
01:01:39how cool is that one yeah sure let's have five minutes break okay thank you
01:01:43this is nice okay five minutes okay okay
01:01:51okay
01:01:54you
01:01:57if you work out the base five case we'll put it okay yeah five minutes thank you
01:02:08oh yep
01:02:18okay
01:02:24you
01:02:48you
01:02:53you
01:03:03you
01:03:13you
01:03:23you
01:03:33you
01:03:43you
01:03:53you
01:04:17you
01:04:23you
01:04:35you
01:04:40you
01:04:50you
01:04:53you
01:05:07you
01:05:15you
01:05:24you
01:05:27oh
01:05:31some narrative mathematics mathematical narratives
01:05:35uh after we are done with this finding uh on algorithm to find greatest common
01:05:41divisor which is more efficient than euclidean algorithm okay uh yeah it may
01:05:47take like 100 pages i don't know okay but there will be multiple chapters maybe one
01:05:52chapter with my name as i got benzo allergy the amazing
01:05:59world of basic coefficient okay so because there's so many things going on
01:06:04here okay yeah cheers yeah
01:06:08yep
01:06:16i'm amazed and dazed yeah how beautiful this is okay so
01:06:23yeah i mean let's put a stop here okay it's good stopping point okay yeah
01:06:31time check
01:06:34this is exciting
01:06:37yeah it's been more than one hour so
01:06:40yeah let's digitize this and then um
01:06:44go to uh
01:06:47instagram live together okay yeah
01:06:52sure yeah
01:06:59yeah let's relax
01:07:03good progress today like always yeah cheers
01:07:13um
01:07:23oh nice
01:07:26okay all right see you soon thank you yeah
01:07:32happy sunday evening