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00:00:00Hello friends, yeah welcome to Friday Night Live Bunkily episode 174.2, yeah, yeah, okay.
00:00:20let's see, yeah, let's do some dumbbells, oh, okay, yeah,
00:00:50okay, okay, okay, okay, let's go, dumbbells, okay,
00:01:15yeah,
00:01:28yeah,
00:01:45yeah,
00:01:53okay,
00:02:00whoa,
00:02:15whoa,
00:02:29whoa,
00:02:46yeah,
00:02:53okay, oh, good enough, ah, whoo, okay, five minutes break please, thank you, all right,
00:03:12okay,
00:03:16oh, wow,
00:03:28yeah, good exercise, yeah, oh,
00:03:41okay,
00:04:03oh,
00:04:06ah,
00:04:10whoo,
00:04:37oh,
00:04:44okay,
00:04:56okay,
00:05:06okay,
00:05:09okay,
00:05:35okay,
00:05:39okay,
00:06:09okay,
00:06:24okay,
00:06:39okay,
00:07:09okay,
00:07:39okay,
00:08:09okay,
00:08:39okay,
00:09:09okay,
00:09:13okay,
00:09:16okay,
00:09:38okay,
00:09:46okay,
00:09:56oh,
00:10:03okay,
00:10:17okay, welcome to Friday Nalang Hwang TV, episode one,
00:10:27what's the episode number, let me check it,
00:10:31okay, happy Saturday morning, beautiful sunshiny day, yeah,
00:10:41whatever,
00:10:44episode 174.2, okay, let me grab whiteboard to erase, okay, so, yeah,
00:11:00okay,
00:11:08okay,
00:11:14yeah,
00:11:20all right,
00:11:34and let me drink some coconut juice,
00:11:44okay,
00:11:51uh,
00:12:01a little bit too big, but should be fine,
00:12:07yeah,
00:12:11okay,
00:12:23there we go,
00:12:26now, whiteboard,
00:12:29yeah, this back in the days, like,
00:12:33complex analysis,
00:12:36but we're not doing it anymore, okay, so,
00:12:41maybe we get, may get back to it at some point, but,
00:12:45okay,
00:12:48yeah,
00:12:50let's erase this, okay,
00:12:55we gotta move on,
00:13:07yeah, relatively new whiteboard, that's why it erases very well,
00:13:13yeah,
00:13:18good, good, good as new,
00:13:24okay,
00:13:26cheers,
00:13:30oh, nice,
00:13:36okay,
00:13:44so, let's enumerate
00:13:48initial Bezou coefficients, initial mean, like, minimal initial principle
00:13:56Bezou coefficients, okay, yeah,
00:14:04the smallest, when it comes to absolute values,
00:14:09this Bezou coefficient is like this, always
00:14:13one negative number and one positive number, okay,
00:14:19okay,
00:14:23okay,
00:14:30give me one second, one minute,
00:14:52okay,
00:15:22okay,
00:15:53oh,
00:16:05okay,
00:16:23okay,
00:16:43yeah, the dehumidifier, I had to empty the water there, so,
00:16:47yeah,
00:16:50okay,
00:16:59okay,
00:17:13okay,
00:17:16so,
00:17:19yeah, we are in the journey, long, it will be a big project, long journey, okay, so,
00:17:26because there are just so many different cases when it comes to greatest common divisor,
00:17:30we are dealing with easy one, okay, when greatest common divisor is one,
00:17:35okay, they're comparable to each other, okay,
00:17:38yeah, we're just dealing with base five,
00:17:45okay,
00:17:58okay,
00:18:15no,
00:18:45okay,
00:19:15yeah,
00:19:45okay,
00:19:49okay,
00:20:12oh,
00:20:19okay,
00:20:34no, when it comes to left Bezou coefficients,
00:20:39it is periodic, okay, yeah, so, yeah, like row five,
00:20:44okay, so, 0, 1,
00:20:49minus 2, 2, minus 1, 0, 1, minus 2, 2, minus 1, okay,
00:20:55yeah, and to make the sign alternate, we put minus sign in front of 0, okay,
00:21:03okay, yeah, minus 0 is 0, so,
00:21:08so,
00:21:12we are looking at
00:21:16minus 0, 1,
00:21:19minus 2, 2,
00:21:23minus 1, okay, yeah,
00:21:27so that's Bezou coefficient left,
00:21:34okay, of n,
00:21:41index n will start from 0, okay,
00:21:47okay,
00:21:52yeah,
00:21:56okay,
00:22:07because it repeats itself, yeah, and row five,
00:22:13okay,
00:22:24okay, yeah,
00:22:30yeah, equals like minus 0, 5,
00:22:34n of 5, you want 0, 0, 1, 2, 3,
00:22:394, and then start from 0, and it repeats itself, okay, so, okay,
00:22:43now, if you want, express,
00:22:48find this function Bz, Bezou left,
00:22:52in terms of n, function of n, okay, if you want to, okay,
00:22:56yeah, we did this before, okay, so,
00:23:00yeah, let's take five minutes break, and we'll do it again,
00:23:03but if you want to do it yourself, go for it, okay, yeah, five minutes, thank you.
00:23:09Okay, yeah, beautiful sunshine day, yeah,
00:23:12five minutes, okay, thank you,
00:23:15okay,
00:23:18okay,
00:23:26okay,
00:23:29yeah,
00:23:39okay,
00:24:00all right,
00:24:09okay,
00:24:39okay,
00:25:10okay,
00:25:35okay,
00:25:39okay,
00:25:50okay,
00:26:09okay,
00:26:39okay,
00:27:10okay,
00:27:24okay,
00:27:39okay,
00:27:47okay,
00:28:03okay,
00:28:09okay,
00:28:31okay,
00:28:39okay,
00:28:56okay,
00:29:09okay,
00:29:29okay,
00:29:39okay,
00:29:53okay,
00:30:09okay,
00:30:39okay,
00:30:59okay, so, we did mapping, methodology, okay,
00:31:03so, yeah, let's
00:31:06do that, it almost looks like cheating, okay,
00:31:09but it's not, it's legit, it's something brand new, okay,
00:31:14kind of induction, okay, yeah, cheers,
00:31:20kind of like computer programming, okay, yeah,
00:31:24so,
00:31:31I wasn't working, okay, yeah,
00:31:36if
00:31:40n row 5 is 0,
00:31:46minus 0, okay,
00:31:52plus,
00:31:54if n row 5 is 1,
00:32:001,
00:32:06okay,
00:32:19yeah, just induction, pattern recognition, okay,
00:32:23okay,
00:32:33okay,
00:32:36yeah, so, minus, plus, minus, plus, minus, okay,
00:32:41okay,
00:32:46cheers,
00:32:54now,
00:32:57to convert, I was in bracket to regular
00:33:01algebra,
00:33:06let me look at other whiteboards where we did that,
00:33:23okay,
00:33:41okay,
00:33:53yeah,
00:33:58okay,
00:34:03yeah,
00:34:23yeah,
00:34:29yeah,
00:34:34oh,
00:34:42iPhone over there,
00:34:53okay,
00:35:18yeah,
00:35:24yeah,
00:35:30okay,
00:35:46yeah,
00:35:53yeah,
00:36:09yeah,
00:36:24yeah,
00:36:31yeah,
00:36:39yeah,
00:36:47yeah,
00:36:54yeah,
00:36:59we may have to redo it, okay, because the formula
00:37:05over there has contained some error, I think,
00:37:09yeah, let's redo it,
00:37:13yeah,
00:37:21yeah,
00:37:30okay, we'll just redo it, okay, sure,
00:37:36but, hypothetically, oh, also, yeah, last night I
00:37:41misbehaved on social media, my apologies, okay, so, yeah, I
00:37:44archived some of the postings I made, and also I unblocked
00:37:48people I blocked, okay, last night, yeah, my apologies, I was
00:37:52too drunk, okay,
00:37:59okay, yeah, five minutes, okay, thank you, we'll redo this,
00:38:02okay, yeah,
00:38:06okay, five minutes, thank you, okay,
00:38:15ah,
00:38:36okay,
00:38:45okay,
00:38:55okay,
00:39:05okay,
00:39:15okay,
00:39:25okay,
00:39:35okay,
00:39:45okay,
00:39:55okay,
00:40:06okay,
00:40:18okay,
00:40:29okay,
00:40:35okay,
00:40:52okay,
00:40:56let's make a quick example, okay,
00:41:01this one, okay, so,
00:41:15it maps to,
00:41:26well,
00:41:31let's look at this one,
00:41:38okay,
00:41:47all right,
00:42:01so,
00:42:08this function, mapping function is,
00:42:25if it's true, then it's true, otherwise, false, okay, I wasn't
00:42:30looking, okay,
00:43:01okay,
00:43:17and I think this formula is wrong, okay,
00:43:21now,
00:43:31oh,
00:43:37this is arrow file,
00:44:01oh,
00:44:24and plus zero five,
00:44:31okay,
00:44:50okay,
00:44:53yeah, cheers,
00:45:00okay,
00:45:11now,
00:45:31and plus zero five,
00:45:35divided by five,
00:45:42and ceiling,
00:46:01all right,
00:46:04now, to flip the bit,
00:46:08one become zero, zero become one, okay,
00:46:12okay,
00:46:29yeah, this is the function, okay,
00:46:33then, in general,
00:46:37yeah, this is wrong, okay, so,
00:46:42in general,
00:47:01okay,
00:47:03what would this be,
00:47:06if you want to, yeah, go for it, we'll take five minutes, okay, thank you,
00:47:12yeah,
00:47:14good,
00:47:16correcting the errors,
00:47:22okay, here we go,
00:47:25five minutes, thank you,
00:47:28if you want to do this, go for it, okay, yeah, five minutes, thank you,
00:47:38all right,
00:47:40mm-hmm,
00:48:10okay,
00:48:40yeah,
00:49:10mm-hmm,
00:49:40okay,
00:49:43okay,
00:50:09okay, so,
00:50:14yeah, some break from mathematics,
00:50:18yeah, our friends who join like Instagram live,
00:50:21yeah, the stars of the show, right, sure,
00:50:24and yeah, but I don't show their faces because
00:50:29we have to protect their identity, privacy, okay, so,
00:50:32but their voices are recorded and published in Dailymotion, okay,
00:50:36so, stars of the show, future leaders, mighty proud,
00:50:39yeah, okay,
00:50:42okay, let's go,
00:50:48cheers, happy Saturday morning,
00:50:57beautiful, so Saturday,
00:51:00all right, let's go, yeah,
00:51:12okay,
00:51:37okay,
00:51:40so in general,
00:52:10okay,
00:52:17uh,
00:52:26okay,
00:52:33okay,
00:52:36whoo, yeah,
00:52:40yeah, we have this nice formula here, okay,
00:52:45okay,
00:52:51there we go,
00:53:01we got it,
00:53:03now, time check,
00:53:11it's been less than one hour,
00:53:14okay, good,
00:53:19okay,
00:53:23good,
00:53:26now, let's sit back and relax,
00:53:29we got it,
00:53:35that didn't take long,
00:53:40cheers,
00:53:51cheers, yeah,
00:54:01this, yeah, I'm gonna express as this,
00:54:04so,
00:54:07we don't have to write it out, no, not necessary,
00:54:12this and this, that's enough, okay,
00:54:15cheers,
00:54:23yep,
00:54:30oops,
00:54:34there we go,
00:54:37yeah,
00:54:50but one more thing,
00:54:53maybe we can simplify this a little bit,
00:54:56okay, cheers,
00:55:03cheers,
00:55:13because role is distributive,
00:55:16okay, so,
00:55:20you,
00:55:32okay, so,
00:55:49you,
00:55:53you will be,
00:55:56zero, okay,
00:56:01I will be,
00:56:04I, okay,
00:56:11okay,
00:56:19so,
00:56:38but you've nested role,
00:56:41like role here, role here,
00:56:44here role appears only once, here role appears twice,
00:56:48so, yeah, this is simpler, okay,
00:57:05but,
00:57:17okay,
00:57:33and it will be less quality,
00:57:36okay, so,
00:57:39oh, my neck is hurting now,
00:57:47okay,
00:58:05but,
00:58:18okay,
00:58:21okay,
00:58:46now, if you add them together,
00:58:51okay,
00:59:12okay,
00:59:21so,
00:59:47I'm trying to simplify this, okay, so,
00:59:52yeah,
00:59:55cheers,
01:00:21okay,
01:00:51so,
01:00:54okay,
01:00:57okay,
01:01:19P and P,
01:01:27okay,
01:01:57P
01:02:15and apply the row algebra,
01:02:27okay,
01:02:58okay,
01:03:11something like that, okay,
01:03:14I'm kind of thinking that
01:03:17this may be,
01:03:20this N row B minus I,
01:03:23okay, it's a possibility, okay, so,
01:03:27for example,
01:03:35it's hypothesis, okay,
01:03:56okay,
01:04:27okay,
01:04:48okay,
01:04:57they cannot be true,
01:05:02because,
01:05:05this is always positive number,
01:05:08okay,
01:05:11this number can be negative,
01:05:14okay, yeah, so,
01:05:17you have to wrap around with row,
01:05:20okay, okay,
01:05:23never mind, never mind, yeah, this is not true, okay,
01:05:26this one can be negative, okay, and you cannot know all of it,
01:05:29okay, okay, good,
01:05:32yeah,
01:05:35it's been more than one hour, so, let's
01:05:38wrap it up for this episode and,
01:05:41okay, and then,
01:05:44we go to Instagram live together, okay, yeah,
01:05:46five to ten minutes, okay, thank you, yeah,
01:05:49my apologies for misbehaving
01:05:52in social media, okay, yeah, I was too drunk,
01:05:55sorry, yeah, thank you.