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CreativityTranscript
00:00:00Hello friends, yeah, welcome to Friday Night Live Donkey Lee episode 173.1.
00:00:09It's morning, so let's do upside down shoulder push-up.
00:00:16Let's go.
00:00:24And, yeah, let's go.
00:00:32Ah.
00:00:53Ah.
00:00:55Okay.
00:01:16Ah.
00:01:26You have some stretching?
00:01:33Ah.
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00:01:41Ah.
00:01:54Ah.
00:02:02Where are we?
00:02:32Okay, one more time.
00:02:47Ah.
00:03:03Okay.
00:03:04Ah.
00:03:06Okay.
00:03:07Five minutes break, please.
00:03:10Happy Saturday morning.
00:03:14Let's go to exercise.
00:03:17Okay.
00:03:21Ah.
00:03:42Ah.
00:03:46All right, five minutes, thank you.
00:03:51All right.
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00:15:50Oh.
00:16:06Good morning, friends?
00:16:09Uh.
00:16:12Yeah, I woke up in the morning and lied on my bed, read some news, yeah, I'm like, lying
00:16:27on my bed, every time, kind of like, wake up from the dream, I mean, sleep, yeah, just
00:16:37lying on bed, relaxing, and then it occurred to me, yeah, this is a nice looking whiteboard,
00:16:51right, yeah, but I'm going to have to erase this, we have to move on, okay, maybe we can
00:17:05use this there, because I think we only want to erase there, because it's kind of pretty,
00:17:11this geometric diagram and all, we'll erase this later, okay, because it's pretty, okay.
00:17:22We have some space here, so let's use it, and give some view, okay, so, yeah, so, yeah,
00:17:50I'm doing some laundry, just background noise, and, yeah, I was lying on my bed, and it occurred
00:18:19to me, I omitted something quite important, so we enumerated this basic coefficients of
00:18:29base 5, but the thing is, I was kind of informal about it, because basic coefficient pair,
00:18:37there are infinitely many of them, okay, and, yeah, okay, for example, so, I mean,
00:18:54this, since the website, it was not Wikipedia, it was more informal website about basic coefficients,
00:19:00which was very insightful and helpful, and, yeah, good morning, cheers, okay, so, for example,
00:19:22here, gamma function, graded common divisor, okay, this is 5, right, using basic coefficients,
00:19:35right, also, okay,
00:20:05right, yeah, so, there are infinitely many, but we want to find, we want to designate
00:20:30something like, in the effect of, when absolute value of this basic coefficient is the minimum,
00:20:39okay, so, let's call that like principle of basic coefficients, okay,
00:20:49now, let's look at basic coefficient of 6 and 5, okay, yeah,
00:21:00okay, so, here, yeah, if you add two basic coefficients, it always become one, right, yeah,
00:21:16then, so basic coefficients, okay,
00:21:46yeah,
00:22:16yeah,
00:22:34okay, so, we have basic coefficients,
00:22:36right, plus b left, is always 1, okay, so, b right is 1 minus, okay, 1 minus n, okay, yeah,
00:23:07okay, cool, yeah, cheers, yeah, we are kind of formalizing basic coefficients, okay, cheers,
00:23:19yeah,
00:23:32yep, now, basic coefficient when base is 5 and argument is 6,
00:23:49okay,
00:24:19okay,
00:24:49yeah,
00:24:59yeah, basic coefficient world, yeah, poorly studied and poorly understood area, okay,
00:25:03not many people studied this, okay, so, yeah,
00:25:08yeah,
00:25:11what happened,
00:25:18cheers,
00:25:39yeah, 36 minus 35,
00:25:46this minus 54, so,
00:26:08okay, now, then, my question, our question to us, yeah, basic coefficient is a set function, okay,
00:26:266,5, let's express that, something like that, okay, it's a set expression, okay, yeah,
00:26:38if you want to do it, go for it, okay, yeah, five minutes, thank you, yeah, good morning, okay,
00:26:53there we go, thank you,
00:26:55thank you, it's chilly, yep,
00:27:25okay,
00:27:55so,
00:28:25you
00:28:55you
00:29:25you
00:29:33so, back in the days when I was a couple years younger, okay, I used to engage in like group
00:29:39chat in like Instagram, it was fun, yeah, fond memories, yeah, good group chats, I know they
00:29:44exist, but these days I don't do that because I'm too old, I need to save energy, okay, so,
00:29:52okay, but fond memories, okay, yeah, so, martial arts, education, college development, okay, yeah,
00:30:04yeah, I don't want to do something too strong, so, yeah, this will do for now,
00:30:12but now that we are doing some tough mathematics here, let me tell you something stronger, okay,
00:30:22okay,
00:30:26okay,
00:30:34yeah, look how formalizing there's a coefficient,
00:30:39so,
00:30:49okay, let's switch out this chaga barbica bottle,
00:30:54all right,
00:31:01yeah, long martial arts, okay, yeah, very important,
00:31:05and continuing education, college development,
00:31:16oh, what is one, yeah,
00:31:25and,
00:31:27and,
00:31:31so, a doctor can get diseases from their patients, okay,
00:31:38so, also, even mental doctors can get mental diseases from their patients, okay, because
00:31:48they were contagious, ideology same way, okay, so, we have to be careful, what works, yeah, martial
00:31:55arts, okay, yeah, cheers, strengthening of mind and body, body and mind, spirit, okay, yeah, cheers,
00:32:06very good, now,
00:32:10um,
00:32:24do you see any pattern there,
00:32:40okay,
00:32:47I mean, five, five, if you add them up, they become one, right, but here, if you add them up,
00:32:55become zero, one, minus one, minus two, uh, let's do one more then,
00:33:04um,
00:33:1866,
00:33:2265,
00:33:25um, add them up, two, minus two, one, minus one, yeah, there's some pattern there, okay,
00:33:36okay, yeah, sign kind of alternates, okay,
00:33:51yeah, cheers,
00:33:58um, there are infinitely many, uh, pairs of best coefficients, okay, now,
00:34:17um,
00:34:27wow,
00:34:48so,
00:35:01even what the initial best coefficient, one comma minus one,
00:35:05how can we find the next one, next one, next one, next one, okay,
00:35:17um,
00:35:24not a trivial problem at all,
00:35:25oh, we got it, you add six, subtract 12, add 18, subtract, uh, 24, okay,
00:35:52okay, here, subtract five, add 10, subtract 15, add 20, okay, we got it, okay,
00:36:07yeah, whoo, pattern, good, yeah, great,
00:36:20okay, we found it, okay, now, given that, if you want, complete this, define
00:36:31best coefficient set of six and five using a set expression, if you want to, okay,
00:36:41okay, yeah, cool, we got it, that was not easy, but not too difficult, okay, this is nice,
00:36:48intermediary, at intermediate level, yeah, not too difficult, not too easy, yeah, nice,
00:36:55okay, yeah, five minutes, thank you, good, good, good,
00:37:03wow, okay, all right,
00:37:54you
00:38:24can do it.
00:38:54So, let's take a break from mathematics a little bit, yeah, I'm sorry about all this
00:39:21school shooting, whatever, math shooting in America, but in Georgia case, quite recent one,
00:39:29the father of that young man, he did his best, he said in the interview, like,
00:39:41he wanted to toughen his son, because his son kind of like, not quite manly, okay, so that's
00:39:49why he took his son to, like, hunting trip, and buying him a gun and stuff, but, well, my
00:39:57recommendation is, in order to toughen their child, whether it's a boy or girl, send them to
00:40:05martial arts school, okay, yeah, okay, yeah, that's way better, okay, okay, yeah, guns are too dangerous,
00:40:17okay, I mean, I have guns, but I don't use it, okay, yeah, martial arts is way better, okay, yeah,
00:40:31okay, now, let's go,
00:40:37yeah,
00:40:38yeah,
00:40:42also, exercise, push-ups, you know, running, okay,
00:40:46gun is just finger trigger, that's not exercise,
00:40:51okay, I'm not against guns, I'm not, I'm not even against also rifle, why, look,
00:41:01if somebody is living in a remote region,
00:41:04alone, there can be, like, three burglars with guns, most effective way to defend one's
00:41:18family or property, also rifle, okay, yeah, similar to my, we're talking about three burglars with
00:41:29three burglars with guns, okay, also in Alaska, we have bears, okay, yeah, most effective way to,
00:41:35and they do come to house in the mountain region, okay, yeah, most effective way, also rifle, okay,
00:41:45but I prefer martial arts, okay, and guns, yeah, it's just too dangerous, okay, so, okay,
00:41:54okay, yeah,
00:42:01exercise, push-ups, you know, running, okay, yeah,
00:42:09okay,
00:42:15so,
00:42:18and six,
00:42:19okay,
00:42:32subject five,
00:42:35uh,
00:42:45subject five at ten, okay, yeah,
00:42:50so,
00:43:03it'll be easier to use union, okay, so,
00:43:19you,
00:43:49you,
00:44:20zero, okay, one, two, oh,
00:44:30oh, okay, okay, it's cumulative, huh,
00:44:39um,
00:44:47it's like this, okay, one, minus four, six, minus nine,
00:44:59so, minus five, plus ten,
00:45:05minus 15,
00:45:11plus 20, okay, so,
00:45:28yeah, it's,
00:45:35not simple, but,
00:45:52it's alternating series, okay,
00:45:58so, we need a brand new rifle for this, okay, uh, let's take five minutes break, and then,
00:46:10okay, yeah, I'll find a rifle to use, okay,
00:46:16yeah, we got it, but it's, it will take a whole rifle, okay, so, we need more space than this,
00:46:25okay, yeah, five minutes break, okay, yeah, I could have a new rifle to erase, okay,
00:46:32okay, five minutes, thank you, okay,
00:46:51right,
00:46:54so,
00:47:04you,
00:47:21but,
00:47:33you,
00:47:49um,
00:48:03you,
00:48:23you,
00:48:34you,
00:48:46you,
00:49:04you,
00:49:07yes,
00:49:33you,
00:50:03you,
00:50:13you,
00:50:23you,
00:50:33you,
00:50:43you,
00:50:53you,
00:51:03well,
00:51:15well,
00:51:33you,
00:51:43okay, so, uh,
00:51:55well, yeah, I'm doing laundry, it's not a tumble dryer, so that's background noise,
00:52:01yeah, so, this, uh, Bedouin coefficient world is not like, you know, highlight, limelight,
00:52:08spotlight in mathematics community, that's the way, poorly studied, poorly understood area,
00:52:19okay, and, uh, but we don't really care about mainstream mathematics,
00:52:24no, we do our own thing, okay, we don't really care about that, okay, we do our own thing,
00:52:32okay, so, okay, we're independent, yeah, okay, so, human knowledge school, okay, uh, this,
00:52:39yeah, we did this before, so I think we can use it, okay, so, uh, yeah,
00:52:48yeah, I think we can self-realize this, if we need to, yeah, we can replicate rather easily,
00:52:58okay, so, yeah, we have to move on, okay, so, all right, so,
00:53:07what we want to find is a formula for alternating series,
00:53:13okay, partial sum,
00:53:20blah, blah, blah, blah, okay, partial summation,
00:53:51okay, so, this a n, n, uh, starting depths,
00:54:06which is, of course, one, okay,
00:54:08yeah, so, a n is equal to,
00:54:20okay, all right,
00:54:40okay, now, s n,
00:54:51summation, that's like sigma,
00:54:55n from one, like,
00:55:01k from one to n, a n, okay,
00:55:10it's a lot, let's take it easy, happy Saturday morning, cheers,
00:55:30okay,
00:55:40all right,
00:55:55okay, so, add them up,
00:56:10okay,
00:56:205, 5, 10, 10, 15, 15, okay, okay, good, good, good, okay, very cool,
00:56:27and instead of, like, deducing it, let's induce it, okay, just look at the pattern, okay, yeah,
00:56:335, 10, 15, 20, okay, sign, alternation, and can group this,
00:56:42okay,
00:56:45okay,
00:57:02uh, let's introduce variable p,
00:57:04p, 1, 2, 3, 4, okay,
00:57:16we are mapping 1 and 2 to 1, 3 and 4 to 2, okay,
00:57:30okay, that will be,
00:57:40and divide by 2,
00:57:44ceiling, okay,
00:57:52okay, then,
00:58:00Sn is equal to,
00:58:04based on this information, if you want to, yeah, find a formula for Sn,
00:58:12how nice, this is nice, this is fun, five minutes, okay, thank you, very cool, yeah,
00:58:22we are making very rapid progress here, because we are good at mathematics, okay, yeah,
00:58:29five minutes, thank you, yeah, if you want to, find Sn, okay, thank you,
00:58:37express Sn as a function of m, if you want, okay, thank you.
00:58:52you
00:59:22you
00:59:52you
01:00:22you
01:00:45uh
01:00:52you
01:00:59okay, yeah, let's take a break from mathematics a little bit. When I was in Los Angeles, California,
01:01:06I was a computer programmer, and, yeah, you know, web software company, Pentium Step 1,
01:01:15small business, and we went to a group lunch in a shopping mall, okay,
01:01:23I think it could have been a Korean restaurant, okay, in a shopping mall, okay, Los Angeles,
01:01:28California, what year, probably like 2007 or something, okay, yeah, group lunch, and our boss
01:01:36allowed us to have a glass of wine during the lunch, oh, that was nice,
01:01:41cheers, yeah,
01:01:45and after the lunch event, yeah, it's time to get back to work, and so we're waiting for elevator
01:01:52in the shopping mall, okay, uh, I don't remember the name of the shopping mall, okay, it's in Los
01:01:58Angeles, okay, and then we're waiting for elevator, and elevator came, and the elevator door opened,
01:02:05elevator door opened, okay, and I saw, uh, Dustin Hoffman, yeah, Hollywood actor, okay,
01:02:12yeah, famous movie, like, uh, Graduate, and, uh, some others, Rain Man, okay, yeah,
01:02:20Dustin Hoffman, also, yeah, Hook, like, just like Disney, like, Peter Pan, right, yeah,
01:02:31okay, and I made eye contact with him, okay, yeah, yeah, that was cool, yeah, he was with a lady,
01:02:41uh, maybe his colleague, uh, maybe producer, I don't know, right, probably in show business,
01:02:48uh, the lady, I, I mean, not like his wife or girlfriend, I don't think so, uh, colleagues,
01:02:55it seems, okay, uh, in whole, probably 50s or 40s, okay, yeah, it looks like their colleagues,
01:03:03work colleagues, okay, yeah, that was cool, cheers,
01:03:12uh, when I was in Seoul South Korea, 1980s, when I was in elementary school, yeah,
01:03:16uh, we went to the ski resort, and I made eye contact with a Korean celebrity,
01:03:24comedy man, comedian, male, okay, we made brief eye contact in the ski resort, okay, that was cool,
01:03:31yeah, yeah, now, I did some vocal rest, okay,
01:03:47it's been more than one hour, wow, time flies,
01:03:51wait, five minutes break, I did some vocal rest, okay, yeah, you have to express the SM in terms
01:03:56of when, yeah, go for it, okay, if you want to, thank you, okay, let's take it easy, just, we got
01:04:07it, okay, how cool is this, right, yeah, awesome, okay,
01:04:37you
01:05:07you
01:05:37you
01:06:07you
01:06:24So, Mr. Bezou, Monsieur Bezou,
01:06:29rather, a French mathematician, not very well known, okay, but yeah, great contribution to mathematics,
01:06:36some mathematicians are like this, okay, so, great contribution, but not as well known, okay, so,
01:06:45okay, yeah, okay,
01:06:52let me drink some,
01:06:56let's take it easy, yeah, zebra hairstyle,
01:07:06okay,
01:07:17yeah,
01:07:26well, in complex analysis, yeah, we discovered that there's some big problem there, the complex
01:07:33exponentiation is not defined yet, okay, there's bigger problem than Riemann hypothesis, okay, so,
01:07:45yeah, I can't talk about it this morning, but I, yeah, I'm not ready to get back to bed,
01:07:55other mathematicians, they don't even know that problem exists, okay,
01:08:03yeah,
01:08:07we all have them, okay, so,
01:08:11okay,
01:08:16yeah, maybe one day, maybe after this,
01:08:20we get back to complex analysis, maybe, okay, so, I'm not ready yet, no,
01:08:24it's complicated, hence the name complex analysis, okay,
01:08:41for now, yeah, we'll just do number theory, okay,
01:08:45okay,
01:08:59cheers,
01:09:04yeah,
01:09:15okay, cheers,
01:09:26so, yesterday, like, the Facebook live, yeah, I didn't do, like, feedback commentary,
01:09:31wanted to take, needing to take break from politics, so, yeah, I watched some footage in the YouTube,
01:09:39like, parachuters, military and also civilians, okay, yeah, like, jetpack and all that fancy
01:09:48stuff, right, yeah, that's cool, military side and also civilian side, okay, yeah,
01:09:56parachuters, skydivers, basically, cheers, yeah, that's cool,
01:10:09okay, let's go,
01:10:25so,
01:10:56okay,
01:11:11and
01:11:25so,
01:11:31whoo,
01:11:41you,
01:11:54next step,
01:11:59well, but now that it's been more than one hour, right, and I'm kind of getting drunk, okay, so,
01:12:06so, let's wrap it up for this episode and then I'll start digitizing this and then
01:12:16we'll go to Instagram live together, okay, yeah, okay, yeah, see you soon, thank you,
01:12:23yep.