Skip to playerSkip to main contentSkip to footer
Huhnkie Lee
  • 5/27/2025
continuing pattern search
Transcript
00:00:00Hello, friends. Welcome to Humanology 2242. Yeah, happy Monday. Also, happy Memorial Day.
00:00:14Okay. Well, to me, I'm unemployed these days, so holiday, weekend, pretty much same thing.
00:00:23But yeah, happy Memorial Day. And happy Monday. So yeah, I bought some Brazilian nuts, but
00:00:36I read, I did some research in the internet, how many Brazilian nuts are safe to eat per
00:00:43day? They say one. Okay. Some say one, two, three. Because Brazilian nuts have a lot of
00:00:51selenium. Selenium is a metal, and a small amount of selenium, our body do need it, but
00:00:59too much of selenium in our body become toxic. Toxic. Okay. So that's why they say Brazilian
00:01:06nuts, yeah, they recommend no more than one nut per day. Some others say no more than
00:01:12three nuts per day. Three nuts per day, Brazilian nuts. Okay. So, okay. Good to know for health
00:01:19information. Okay. All right. Yeah, I love Brazilian nuts. Okay. They're kind of expensive.
00:01:27Also, they say there are a lot of selenium there. So, okay. No more than one Brazilian
00:01:33nut per day. Okay. I eat those rarely then. Okay. All right. Also, yeah, the mathematics
00:01:41problem, I did continue to work on it on my bedroom, in my bedroom. But not always. I
00:01:48sometimes I take a break from mathematics, but here and there. Okay. So I'll share that
00:01:54with you. We'll get back to like arithmetic, basic foundation, or like, okay. Yeah. We'll
00:02:03get back to that. Later this episode, okay? Now let's do stretching. Okay.
00:03:04Okay.
00:03:18Uh-huh.
00:03:33Uh-huh.
00:03:39Uh-huh.
00:03:52Uh-huh.
00:04:12Ah.
00:04:22Uh-huh.
00:04:52Ah.
00:05:12And yesterday I did some running in the evening and then
00:05:16um running and walking and around the neighborhood and uh yeah
00:05:25but earlier yesterday it kind of rained so after rain stopped
00:05:31when I was walking the trail kind of hiking trail it's like actually ATV trail next to the road
00:05:39oh this fragrance from the tree leaves like red elder tree and other tree leaves oh it's fantastic
00:05:47yeah fragrance from tree leaves amazing yeah very therapeutic natural nourishing
00:05:59oh yeah good plants
00:06:08okay
00:06:22balancing
00:06:33dynamic balancing
00:06:38uh
00:06:52okay
00:07:09uh
00:07:14oh
00:07:27ah
00:07:41okay so Euclidean algorithm is has been there for like more than 2,000 years so many people studied
00:07:48that and so people may think that there's nothing more to be known about Euclidean algorithm well
00:08:04that turned out to be not the case there are still very
00:08:08unknown things about Euclidean algorithm and that's what we are after okay so
00:08:13yeah Euclidean algorithm been studied for a very long time by very many people but still there are
00:08:19unknowns unknown things about Euclidean algorithm okay yeah so oh yeah and that's what we're doing
00:08:30these days okay yeah I guess I'm kind of advanced elementary mathematician because mostly I deal
00:08:40with elementary mathematics meaning not advanced okay yeah but I prefer that way I don't want to
00:08:47deal with things that are way too difficult I'd rather not okay
00:08:57okay but still the kind of mathematics we do uh yeah it's elementary in a sense that it does not
00:09:05deal with like advanced mathematics but it's still quite advanced okay so it's kind of balancing
00:09:10advanced and elementary okay yeah sure okay facial exercise
00:09:40you
00:10:10you
00:10:19okay facial exercise
00:10:40you
00:10:42okay now let's do ground stretching
00:10:53stretching on the floor
00:10:57okay
00:11:04okay
00:11:11you
00:11:14woohoo
00:11:28huh
00:11:34ah
00:11:40you
00:11:48okay
00:11:51let's flip over ah
00:12:03okay
00:12:03okay yeah like gymnasium uh it's ancient greek tradition they uh emphasize exercise especially
00:12:14in Sparta right in ancient Greece gymnasium yeah they emphasize exercise athletic sports
00:12:23exercise okay yeah later on became like part of this academia as well like Platon, Aristotle
00:12:33right yeah exercise very important we do both exercise and science like ancient Greeks okay yeah
00:12:46oh
00:12:50also like Spartan kind of harsh discipline as well yep
00:12:54yep
00:12:59frugality, basic food, isolation, that kind of stuff yeah
00:13:18okay good
00:13:24oh
00:13:28okay five minutes break thank you
00:13:34yeah and then I grab whiteboard to erase very nice
00:13:47oh now cool down stretching
00:13:51ah
00:14:03ah
00:14:08okay good
00:14:10water
00:14:19ah
00:14:21you
00:14:34ah
00:14:50you
00:15:20you
00:15:50you
00:16:20you
00:16:50you
00:17:20you
00:17:50you
00:18:20you
00:18:25okay now let me transfer some whiteboard to the living room okay we could to make
00:18:32some room in this studio room entertainment room or
00:18:39yeah
00:18:41classroom sure uh
00:18:45uh
00:18:50the most recent one that I need I will put them aside
00:18:58so that I can reference it
00:19:06uh what is this
00:19:14uh
00:19:34I think we can't use this one actually uh can we
00:19:44you
00:20:15uh
00:20:27I think I can erase this one okay yeah
00:20:31well moving the whiteboards
00:20:35later okay good we also need for important business to take care of okay so
00:20:45we just erase this one
00:20:55uh
00:20:57yeah
00:20:59okay
00:21:05you
00:21:08all right
00:21:18okay
00:21:35you
00:21:43oh
00:21:58happy monday afternoon
00:22:05ah
00:22:09cheers
00:22:15so we are doing bottom-up approach to this like uh to find best coefficients okay so
00:22:25uh linear uh the geophantine equation okay so we are looking for a general solution to that
00:22:33formula all right so in my on my bed I just worked out with a notebook and pencil
00:22:44check the video okay okay
00:22:50so first we do bottom-up okay
00:22:55then 0 times x plus 1 times y is equal to 1 okay
00:23:07uh the solution to that
00:23:22y is equal to
00:23:25you
00:23:48is that k plus 1 or something just or just k
00:23:55you
00:23:58uh to make it consistent okay let me grab my notebook it is elementary but it's still tricky
00:24:08okay so uh
00:24:26you
00:24:33going back to the basics
00:24:45well y is equal to 1 okay there y is equal to 0 times k plus 1
00:24:55okay x is equal to
00:25:04minus k minus 0 okay why do we express it like this uh to follow the general pattern
00:25:13um okay just soon enough
00:25:25we increase the uh increment uh coefficient of x which is that we call a
00:25:34now one time x
00:25:36yes
00:25:40b coefficient y we just we don't change it for now we change it later okay
00:25:51y is equal to
00:25:56now coefficient of x increased so something must change right
00:26:06so
00:26:18let me look at the node again
00:26:221 times k plus 1
00:26:28x does not change at all
00:26:47okay
00:26:58so
00:27:10now next 2 times x plus 1 times y
00:27:28well we do x first x is equal to x does not change okay minus k minus 0 okay
00:27:45and um this is just minus k okay then uh minus 2k go to the other side so it becomes 2 times k
00:27:54plus 1
00:27:59um
00:28:02so
00:28:22and dot dot dot in general
00:28:25so n times x plus 1 times y is equal to 1 and then solution would be y is equal to
00:28:41n times k plus 1 x is equal to minus k minus 0 okay just which is my just minus k but
00:28:53we put in this book uh in order to uh make it more general later on okay yeah okay okay
00:29:13next
00:29:24so that's when y's coefficient is 1 okay now we are looking at the behavior of these numbers
00:29:40next and the pattern okay uh 0 times x plus 2y is equal to 1
00:29:51um okay and
00:29:58likewise we'll increase the coefficient of x from 0 1 2 all the way to n and then
00:30:07then we'll look at how this uh coefficient and this constant uh this this one would how do we
00:30:16call it alpha and beta okay this is we have alpha and beta okay we'll observe how alpha and beta changes
00:30:28okay
00:30:36you have a and b a you have minus b you have uh
00:30:43uh alpha minus beta okay yeah uh so you have coefficient on k it's always a and minus b okay
00:30:55but uh when it comes to alpha and minus beta those are the basic coefficients
00:31:02okay so that's we want to find formula for best coefficients
00:31:08based on a and b input a and b okay so that's why we are doing this okay currently
00:31:17the algorithm to find best coefficient exists other mathematician knows about it
00:31:26and we also know about it but we made it better more efficient algorithm but currently as far as
00:31:34i know uh the formula for best coefficient is unknown and we want to discover that for the
00:31:43first time in the human history okay so that's all we have to okay yeah you want to find it before
00:31:50i do go for it okay yeah now let's take five minutes break and let me start uh cooking my lunch
00:31:57okay yeah cheers
00:32:03okay yeah five minutes thank you
00:32:11there we go all right
00:32:27you
00:32:57you
00:33:27you
00:33:57you
00:34:27you
00:34:49you
00:34:57you
00:35:27you
00:35:57you
00:36:27you
00:36:57you
00:37:27you
00:37:57you
00:38:27you
00:38:46okay it's raining outside yeah plants need that
00:38:52oops
00:38:56okay
00:38:59okay
00:39:03yeah
00:39:12yeah back to the basics okay
00:39:15okay and now
00:39:20what would y would be
00:39:26let me grab my notebook again
00:39:45so
00:39:59yeah
00:40:09okay
00:40:31well my notebook does not have that
00:40:39okay all right well
00:40:55well this cannot work why because
00:40:590 and 2 was the great common divisor it's not one it is two okay so this does not work okay
00:41:24uh
00:41:26so
00:41:31it works when it's one okay yeah
00:41:36cheers
00:41:49uh
00:41:55okay
00:42:01y is equal to
00:42:06one times k
00:42:21x is equal to
00:42:25minus 2k
00:42:32plus something
00:42:39if x is minus 2k uh let's see uh
00:42:48if x is minus 2k minus one
00:42:55you
00:43:00y is equal to
00:43:05k plus one okay
00:43:12so
00:43:33now next step
00:43:43uh a cannot be two because two and two great common divisors two is not one okay so they're
00:43:50not co-primes with each other all right we want always only the co-prime cases okay so that's
00:44:02three times x
00:44:05plus two y is equal to one
00:44:13two
00:44:15y is equal to three times k plus something x is equal to
00:44:27minus 2k minus something
00:44:31uh
00:44:43if this is minus one okay so the common main theme is this x does not change okay uh why because the
00:44:54coefficient of y is staying the same that's why x never changes okay so
00:45:05and here plus two
00:45:10okay yeah
00:45:14one more okay
00:45:15five x now we're starting to see some nice pattern here
00:45:26y is equal to
00:45:30five k my guess is has to be three okay
00:45:37x is equal to minus x does not change minus 2k minus one okay uh yeah
00:45:46so to generalize
00:45:57we have two n plus one times x
00:46:05okay plus two y is equal to one then y is equal to
00:46:35uh n
00:46:50in all these cases
00:46:57you have n here and start from zero okay yeah n
00:47:05is integer
00:47:12zero positive okay yeah so non-negative integer okay so all right so y is equal to
00:47:21two n plus one k plus
00:47:26k plus one n plus one
00:47:38x is equal to
00:47:45minus 2k minus one okay yeah
00:47:49cheers
00:48:06um
00:48:10so
00:48:28that's a good progress
00:48:40so
00:48:52now
00:48:56this ax plus by now when b is like three four five six seven eight we can go on and on um but uh
00:49:06um yeah
00:49:12so this nice pattern here
00:49:16and i'm getting hungry okay uh time check
00:49:28it's been less than one hour okay
00:49:29uh
00:49:39have some space here uh we can do uh when b is we did b when b is one b is two now we can do b is
00:49:48three and b is four and uh and then um kind of generalize from there okay uh
00:49:55uh yeah
00:50:03and looks like we need to do that i need to do that but uh gosh i'm hungry okay and uh so
00:50:13let's take five spray okay and uh yeah i'll check on my lunch it's like 3 30 right now
00:50:25yeah i slept late yeah
00:50:30you know continue to work out like when b is three and four go for it okay yeah
00:50:36yeah five minutes thank you
00:51:06you
00:51:36you
00:52:06let's ventilate the room
00:52:36you
00:53:06you
00:53:36you
00:54:06you
00:54:36you
00:55:07you
00:55:22okay
00:55:26it's it's very deterministic process right it's not like random
00:55:31chaos no it's very cosmos very well ordered system here
00:55:37uh that's why i i my guess is that there should be a formula for this
00:55:44and we discovered a lot property of the special coefficients being like symmetric
00:55:52and uh lesser co-prime appearing only one and only once yeah so
00:56:01okay
00:56:01yeah
00:56:04cheers
00:56:09some break from mathematics yeah uh last night i watched some youtube videos about this like
00:56:16impressionistic french piano composer uh like uh
00:56:23uh
00:56:25the dubussy claude dubussy the arabesque and uh claire de lune
00:56:34uh and uh eric sadie uh gillo paddy right yeah they knew each other okay they're contemporaries
00:56:40okay great also like uh uh carlos sazedo uh harp harp uh french harp
00:56:52uh
00:56:55composer sazedo i think he's french let me look him up okay
00:57:06uh
00:57:15you
00:57:20yeah he's french okay yeah okay okay very good music right yeah goes very well with the
00:57:30impressionistic paintings i love youtube videos okay nice okay let's do number three okay
00:57:39uh
00:57:44let me warm my rights a little bit some more
00:57:49two more minutes
00:58:04oh
00:58:09okay number three case
00:58:30x plus three y is equal to one
00:58:39two
00:58:43y is equal to
00:58:48one times x plus something
00:58:52x is equal to minus three times uh it was k
00:58:59k minus three times k minus something
00:59:23uh it should be minus two okay yeah
00:59:25then this will be k plus one
00:59:36okay
00:59:44now
00:59:46um
00:59:51two times x plus three y is equal to one
01:00:04okay check on the rice
01:00:15you
01:00:20well
01:00:25cheers
01:00:30okay
01:00:45so
01:00:47y is equal to
01:00:512k plus something x is equal to
01:00:59x does not change okay minus 3k minus two then
01:01:08k is plus uh two okay yeah
01:01:15so
01:01:25wait a minute wait a minute
01:01:34that's not true
01:01:45and this is a try though
01:02:01oh yeah
01:02:15oh x does change
01:02:25that does not quite fit the pattern
01:02:30interesting
01:02:42wow
01:02:45that's quite a surprise
01:02:55yeah basically aesop's fable they uh kind of animate the animal
01:03:00kind of personalized the animal like in aesop's fable any fable
01:03:05animal behaving like people right here uh numbers we treat numbers as like humans okay
01:03:12uh okay all right
01:03:22sure
01:03:25uh
01:03:36yeah
01:03:42so
01:03:49actually in this case uh
01:03:53this pattern should be one minus one okay which is anomaly it does not quite fit the pattern
01:03:59okay that's fine and then uh
01:04:12okay
01:04:15after that
01:04:21is 2k plus one
01:04:27okay interesting
01:04:34now it cannot be three because it's three and three they are not co-primes okay so
01:04:42next 4x
01:04:50plus 3y equal to one
01:04:56y is equal to
01:05:044k plus something x is equal to
01:05:08minus 3k minus something
01:05:39you
01:05:53minus two yeah then this was plus three okay
01:06:09uh i don't see the pattern yet so let's continue
01:06:20now 5x
01:06:27plus 3y
01:06:34y is equal to
01:06:395k plus something x is equal to minus 3k minus
01:06:57minus one okay yeah
01:07:03here plus two okay
01:07:08um
01:07:14oh there's some pattern
01:07:16so
01:07:34i still don't see it okay we have to keep i i have to keep doing it i'll test the apparent okay so
01:07:42uh 7x
01:07:47you
01:07:54y is equal to
01:07:587x plus something x is equal to minus 3x minus something
01:08:17yeah
01:08:25two yeah
01:08:32five
01:08:46okay we have room for one more okay
01:08:588x okay
01:09:03plus 3y
01:09:09y is equal to
01:09:108x plus something x is equal to minus 3x minus something
01:09:22one minus one okay yeah this will be three okay uh so for beta
01:09:33the pattern is just
01:09:35well i bring this closer during the break okay minus two minus one minus two minus one minus two
01:09:40minus one okay there's better there's pattern there cheers
01:09:49but when it comes to alpha one one three two five three i do not see any pattern there
01:10:05you
01:10:20but that's fine but the thing is this
01:10:25i'll find better if we find formula for one of them then the rest is easy because the rest we
01:10:32just plug it in okay then we find formula that way okay so yeah that's fine okay if we find
01:10:41better that's good enough okay yeah
01:10:55now
01:11:00i'm going to have to work out when um
01:11:03um for some more but we worked out when uh b is one two and three okay uh now i need to work out
01:11:13when b is four b is five okay and uh to make sure uh the pattern now we found some pattern for beta
01:11:22uh so uh kinda okay and then um yeah i uh
01:11:29but now i'm too hungry my lunch is ready and uh so but i i continue to work on this in my bedroom
01:11:38after lunch okay so so let's take five minutes break okay yeah time check
01:11:52okay we have more than 30 minutes left yeah and then we'll wrap it up
01:11:57yeah and then we'll wrap it up for this episode real soon okay maybe one more segment
01:12:08so that i can have some food
01:12:17very small font over there
01:12:27you
01:12:33okay all right yeah five minutes thank you yeah
01:12:56you
01:13:26you
01:13:56you
01:14:26you
01:14:56you
01:15:26you
01:15:56you
01:16:26you
01:16:45okay let's put this behind us and talk about something else so it's been 10 years since i've
01:16:54been in alaska and uh past 10 years in alaska i have been unemployed for three times the very
01:17:03first time some 46 10 years ago i was 36 and i it was difficult time okay uh being unemployed
01:17:14in alaska
01:17:24uh and um i did not know anybody but alaskans my neighbors very nice to me i didn't know anybody but
01:17:43they were very nice to me people at work i got a job as a computer programmer at first okay so
01:17:51and i worked there for three years so many people helped me and my employers colleagues neighbors
01:18:01because i was like first time in alaska so they didn't help me out okay so
01:18:06they'll give me food okay i'm very grateful okay yeah but it was difficult though okay
01:18:13this first time i was unemployed in alaska and second time uh three years later yeah i passed
01:18:20alaska by exam and so i quit my computer programmer job and looking for lawyer job uh
01:18:28there was a lot easier why because by then i passed alaska by exam i knew more people and i
01:18:36had more savings money and so yeah it was easier now this time third time unemployment in alaska
01:18:46again even a lot easier than before because i have more money savings and uh also
01:18:56know more people more knowledge more job skill yeah more experience so yeah uh as long as you
01:19:06continue your continuing education career development as you age and continue to exercise
01:19:14things to get easier as you get older okay that's what i wanted to tell you okay yeah
01:19:22okay yeah so as long as you focus on continuing education career development
01:19:30uh also save money savings through be frugal and um uh continue education career development
01:19:39exercise okay and things to get easier as you get older okay
01:19:46uh that's pretty much what i have to say okay yeah and uh yeah i will watch
01:19:56toilet zone episodes and then uh while eating lunch and uh yeah and then after that i go to
01:20:04my bedroom and i'll continue working on this mathematics okay yeah i'll either see you tonight
01:20:13or tomorrow okay uh some dream i had last night i was talking to somebody i don't remember who
01:20:23but uh basically i said yeah job situation yeah i'll get a job for either this week or next week
01:20:31that's what i said and what do i is is that my expectation
01:20:37and
01:20:40i mean it might happen this week or next next week java 4 it can happen i continue to apply
01:20:46to jobs and uh unemployment insurance unemployment insurance yeah i uh it's like weekly update okay
01:20:53weekly report yeah so uh will i get java for this week next week or next week uh that i don't know
01:21:02okay but i'm not worried okay yeah i don't think it will take too too long
01:21:12okay yeah so all right so i'll see you tonight or i'll see you tomorrow okay thank you
01:21:19yeah mighty proud future leaders be ambitious yeah thank you