- 5/31/2025
observing patterns in bezout world
Category
🦄
CreativityTranscript
00:00:00hello friends welcome to humanology i mean the friday and i love hunkily episode 210.1
00:00:10uh happy friday evening
00:00:13yeah uh so i i finished watching the minority report uh movie free in youtube yeah did you
00:00:22there's some good the parts i enjoyed the parts i didn't like okay and then uh ai artificial
00:00:30intelligence movie actually that one is not free in youtube okay so okay that's fine then what am
00:00:36i gonna watch next in the youtube for free uh i'm kind of thinking about some korean movies there okay
00:00:42yeah okay and uh yeah let's do some stretchings and let's get back to mathematics after that
00:00:52okay all right happy friday
00:00:55i did some running outside and went to supermarket this buys for some supplies
00:01:06okay
00:01:09all right
00:01:11stretching
00:01:15you
00:01:18you
00:01:22you
00:01:24you
00:01:26you
00:01:28you
00:01:40you
00:01:42you
00:01:44You
00:02:14You
00:02:44You
00:02:59Yeah
00:03:05Ah
00:03:14You
00:03:21You
00:03:23You
00:03:25You
00:03:32Yeah, basic coefficient. I do not have the formula yet
00:03:36But yeah, we just learn more about it because there's a lot going on there. Yeah
00:03:42Formula later. Okay. Yeah, we'll take time
00:03:57Okay, I also cooked rice and beans in the rice cooker. Okay, that's good
00:04:03Okay, that's good
00:04:16Okay
00:04:17How about this?
00:04:22How about this?
00:04:23You
00:04:35It's like acting
00:04:37Finish your exercise
00:05:07You
00:05:37Okay.
00:06:02All right.
00:06:04Now.
00:06:07Let's do a front twist kick, okay?
00:06:15All right.
00:06:27Good, good, good.
00:06:29Five minutes break.
00:06:34Uh-huh.
00:06:37Good exercise.
00:06:43Hey.
00:06:45Hey.
00:06:46Hey.
00:06:47Hey.
00:06:48Hey.
00:06:49Hey.
00:06:50Hey.
00:06:51Hey.
00:06:52Hey.
00:06:53Hey.
00:06:54Hey.
00:06:55Hey.
00:06:56Hey.
00:06:57Hey.
00:06:58Hey.
00:06:59Hey.
00:07:00Hey.
00:07:01Hey.
00:07:02Hey.
00:07:03Hey.
00:07:04Hey.
00:07:05Hey.
00:09:36Okay.
00:09:46Let's see.
00:09:49I bought some dried figs, which is great.
00:10:12Yeah.
00:10:13Yeah.
00:10:14I bought from Turkey.
00:10:17Okay.
00:10:18Fantastic.
00:10:19Okay.
00:10:20Now, let's get back to mathematics.
00:10:36Let's read what we did before.
00:10:37Let's read what we did before.
00:10:38Okay.
00:10:39Perfect.
00:10:40Uh-huh.
00:10:41We'll connect the dots.
00:10:46Okay.
00:10:47Okay.
00:10:48Yeah, so I worked on some more in my bedroom.
00:10:54So, connect the dots.
00:10:56So, here we prove this like a co-prime multiplicative singularity theorem.
00:11:06Okay.
00:11:07So, what we are saying here is...
00:11:08Cheers.
00:11:09Happy Friday.
00:11:13What we are saying is here, we are going to prove this.
00:11:18Okay?
00:11:19Okay.
00:11:20Yeah.
00:11:21Okay.
00:11:22Okay.
00:11:23Yeah.
00:11:24Okay.
00:11:25So...
00:11:26Uh...
00:11:27We have base seven.
00:11:28Okay?
00:11:29So, uh...
00:11:30Lesser co-prime set.
00:11:31One through six.
00:11:32And, um...
00:11:33Uh...
00:11:34We pick a number out of...
00:11:35One through six.
00:11:36Okay?
00:11:37For example.
00:11:38Five.
00:11:39Okay?
00:11:40Uh...
00:11:41Uh...
00:11:42We pick a number out of...
00:11:44One through six.
00:11:45Okay?
00:11:46For example.
00:11:47Five.
00:11:48Okay?
00:11:49And...
00:11:50For each element in this set, one through six, that's like lesser co-prime set of seven.
00:11:55For each element in this set, one through six, that's like lesser co-prime set of seven.
00:12:10For each element.
00:12:12Uh...
00:12:13There is one and only one element that exists when, um...
00:12:18Uh...
00:12:19Multiply by...
00:12:20By...
00:12:21By...
00:12:22For one...
00:12:23For example.
00:12:24Uh...
00:12:25For two is...
00:12:26For example.
00:12:27Uh...
00:12:28Two times something is equal to...
00:12:29Uh...
00:12:30Five.
00:12:31Row.
00:12:32Seven.
00:12:33Okay?
00:12:34There's only one element that exists.
00:12:38For two.
00:12:39Out of one through six.
00:12:41Okay?
00:12:42Now...
00:12:43Two times something is...
00:12:47Five.
00:12:48Row.
00:12:49Seven.
00:12:50Okay?
00:12:51So...
00:12:52In that case, it will be...
00:12:58Uh...
00:12:59Six.
00:13:00Two times six.
00:13:02Which is twelve.
00:13:03Twelve is...
00:13:04Uh...
00:13:05Five.
00:13:06Row.
00:13:07Seven.
00:13:08I mean...
00:13:09Twelve.
00:13:10Row.
00:13:11Seven is five.
00:13:12So, twelve belongs to...
00:13:13Five.
00:13:14Row.
00:13:15Seven.
00:13:16Uh...
00:13:17We'll call it...
00:13:18Um...
00:13:21Uh...
00:13:22Row complement.
00:13:23Of two.
00:13:24So, row complement of two.
00:13:28When it comes to seven and five is six.
00:13:32It is complicated.
00:13:33I know.
00:13:34Okay?
00:13:35Uh...
00:13:36Uh...
00:13:37Uh...
00:13:38Two uh...
00:13:39The numerical notation convention...
00:13:40Um...
00:13:41Uh...
00:13:42Uh...
00:13:43Uh...
00:13:44Two...
00:13:45Uh...
00:13:46Uh...
00:13:47Uh...
00:13:48Uh...
00:13:49Okay.
00:13:50Uh...
00:13:51Uh...
00:13:52Uh...
00:13:53Uh...
00:13:54Uh...
00:13:55Uh...
00:13:56Uh...
00:13:57Okay, we have 5 rho 7, right, and you want to calculate the complement of 2, okay, is equal
00:14:24to 6, which means 2 times 6 rho 7 is equal to 5, so that's what this notational
00:14:47convention means, okay? Okay, good. But when it comes to Bezu coefficient, what we are
00:14:58interested in is, okay, Bezu coefficient of x, for example, let's say, sure, x, let's call it n.
00:15:14Whatever. Bezu coefficient for n, it could be alpha, it could be beta, it doesn't matter.
00:15:24After we find alpha, we can calculate beta by plugging the numbers, okay? So Bezu coefficient
00:15:30of n is, we are looking at, when it comes to base 7, yeah, 7 minus 1, okay? So yeah, so 6 rho 7 of n,
00:15:46n, that is the best coefficient, okay? It could be alpha or beta, okay? So whatever. Let's say this,
00:16:00n, which means n times m rho 7 is equal to 6, which is 7 minus 1, okay? So Bezu coefficient is a special case of this
00:16:23co-prime multi-cut singularity schema, okay? Yeah, so, okay. Very good. Cheers.
00:16:35Let's take five minutes break, and then let me churn my rice, because they are fully cooked, and then we'll,
00:16:55I'll grab a whiteboard erase, and then we'll make some more examples, okay? Okay. Sure.
00:17:02Five minutes break. Thank you.
00:17:14There we go.
00:17:16There we go.
00:17:23Good.
00:22:32Okay.
00:23:04Okay.
00:23:06Okay.
00:23:07Okay.
00:23:08Okay.
00:23:16All right.
00:23:20All right.
00:23:22All right.
00:23:24All right.
00:23:26Ah.
00:23:46I can use this one, I think.
00:23:57Sure.
00:24:00Ah.
00:24:04OK.
00:24:06Ah.
00:24:11Ah.
00:24:16Yeah, whenever the rice, beans are cooked in the rice cooker, give me some good excitement
00:24:35and joy.
00:24:38Fresh cooked rice and beans, they taste so good.
00:24:42OK.
00:24:44Yeah, let's erase this, OK?
00:24:49Yeah, I don't need snacks.
00:24:52I, well, dessert, I like dried fig.
00:24:57Also, I bought some baby carrots, cauliflower, broccoli, pre-washed, pre-cut.
00:25:12Yeah, from the grocery store.
00:25:14And I think I'm gonna have that with mayonnaise as dessert after the meal.
00:25:24Yeah.
00:25:25And other than that, I don't eat snacks.
00:25:30When I'm hungry, I just eat meal.
00:25:35And because, yeah, I'm kind of tempted to eat like donuts and stuff.
00:25:41It tastes so good.
00:25:43But the thing is, they don't have nutritional value.
00:25:46They just have high calorie.
00:25:48And maybe once in a while, that's fine.
00:25:51But those snacks are designed to eat, to be very tasty.
00:25:58And so that you eat them even when you're not hungry.
00:26:03That's why it causes obesity.
00:26:05Yeah, basically, sugar, oil, tastes good.
00:26:08But they cause obesity, diabetes, heart problems.
00:26:15And so they are not healthy.
00:26:18OK.
00:26:19Yeah.
00:26:21And so I don't eat them, OK?
00:26:23But maybe once in a while, that's fine.
00:26:25OK.
00:26:26Cheers.
00:26:27OK.
00:26:28Now.
00:26:29On my bed, like after, maybe before and after, or before or and slash or after.
00:26:47Take on that.
00:26:48Yeah, I did work out the example of n is equal to 13, OK?
00:26:54So.
00:26:55To find best coefficients.
00:26:57OK.
00:26:58Now, let's go to the next prime number of just 17.
00:27:03OK.
00:27:04Yeah.
00:27:05Because now we can calculate best coefficients very easily.
00:27:09OK.
00:27:10And I show that to you.
00:27:12OK.
00:27:13OK.
00:27:14OK.
00:27:15OK.
00:27:17OK.
00:27:18OK.
00:27:19OK.
00:27:20OK.
00:27:21OK.
00:27:24So I don't have the formula yet, but.
00:27:25I don't even have the formula yet, but.
00:27:27Dead laser.
00:27:40You have the formula yet.
00:27:41But.
00:27:43Dead laser.
00:27:46Yeah, 17 being prime number, all the positive integer is less than that, the co-prime is 17, okay?
00:28:03Now, 17 divided by 2, 8.5, so dividing, half dividing line, center line will be there.
00:28:23Okay, after that, mirror reflection, okay?
00:28:29After that, we want to keep the number as small as possible, okay?
00:28:439 minus 17, 10 minus 17, blah, blah, blah, okay? So you'll be mirror reflection.
00:28:49Yeah, it works like a wonderful, I love children's fantasy movies, okay?
00:28:55Yeah, it's fantastic, many times it's educational too.
00:28:59Children's fantasy movies, okay? Yeah, that's correct.
00:29:03Yeah, it's kind of like the mirror reflection, like magical fantasy world, okay?
00:29:13Yeah.
00:29:19Yeah, 12 minus 17, minus 5, okay?
00:29:29Okay.
00:29:35And we want to find multiplicative inverse, I mean multiplicative complement of all these numbers when it comes to 16 rho 17. So,
00:29:51Okay, we have set 16 rho 17, okay?
00:30:07There are many numbers, well, infinitely many numbers, okay?
00:30:13There are many numbers, okay?
00:30:17And some of the members of this set.
00:30:1916 minus 17, minus 17, minus 1.
00:30:2516 minus 17, minus 1.
00:30:27And, uh...
00:30:29And, uh...
00:30:31Minus...
00:30:32Minus 8.
00:30:33Must the bottom minus...
00:30:34Minus 18.
00:30:36Minus 18.
00:30:37Minus 18.
00:30:38And...
00:30:39Minus 18.
00:30:40Minus 17, minus...
00:30:41Minus...
00:30:4218.
00:30:43Minus 17.
00:30:44Minus...
00:30:46Minus 35, okay?
00:30:48minus 35, okay, dot dot dot, comma, let's say this set is equal to, okay, you have 16,
00:31:1216 plus 17 is 33, 33 plus 17 are 50, comma, dot dot dot, okay, now multiplicative complement of 16 or 7, okay,
00:31:37we want to find this number, okay, let's say this is x, we want to find number y such that x times y,
00:31:50rho 17 is equal to 16, okay, or it could be minus 1, minus 18, minus 35,
00:32:0316, 33, 50, yeah, basically the class of 16, rho 17, okay,
00:32:12for example, 1 times something is one of these numbers, and when it comes to 1 is always minus 1, okay, so,
00:32:24so, okay, and the number y here,
00:32:31y range is between minus 1 and minus 8 to 8, okay, so,
00:32:39minus 8, all the way to 8, and they are all integers, okay, so if you want to find, calculate this,
00:32:56basic coefficients, go for it, okay, okay, let's take final spray.
00:33:02I'm going to transfer my cooked rice to plastic containers, okay,
00:33:09there we go,
00:33:19okay, very cool.
00:33:28Okay, very cool.
00:33:32Okay, very cool.
00:33:36Okay, very cool.
00:33:501
00:33:521
00:53:36There we go.
00:58:36Okay.
01:03:06Yeah.
01:04:36Let's do it.
01:05:06Okay.
01:05:36Yeah.
01:06:06Okay.
01:10:36Okay.
01:12:06Okay.
01:12:36Okay.
01:13:06Okay.
01:13:36Okay.
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