humanology 2072 .

  • 2 months ago
Transcript
00:00:00Hello friends. Yeah, welcome to Humanology 2072.
00:00:07Let's do some curls.
00:00:19Well, how about push-ups? Okay, yeah.
00:00:27That's push-ups.
00:00:31Okay, finger push-ups.
00:00:35Okay.
00:00:46Okay, then fist.
00:00:56Wrist.
00:01:04Edge.
00:01:12And then diamond.
00:01:18Okay.
00:01:21Good, good, good. 50 push-ups there.
00:01:24Yeah, five minutes break, please. Thank you.
00:01:29Very nice.
00:01:33Uh-huh.
00:01:46Oh.
00:02:16Okay.
00:02:46Okay.
00:03:16Okay.
00:03:26Okay.
00:03:36Okay.
00:04:06Okay.
00:04:16Okay.
00:04:26Okay.
00:04:56Okay.
00:05:06Okay.
00:05:16Okay.
00:05:26Okay.
00:05:36Okay.
00:05:46Okay.
00:05:56Okay.
00:06:12Okay.
00:06:36Welcome to Humanology.
00:06:43Okay.
00:06:48Ah.
00:06:50That's a good idea to get back to mathematics.
00:06:52Okay.
00:06:55Let's review what we have.
00:07:00What we've done.
00:07:02Uh.
00:07:08Well.
00:07:21Okay.
00:07:30Happy Monday, friends.
00:07:33Yeah.
00:07:34It's raining.
00:07:37And, uh, well, let me take some selfie here.
00:07:52Okay.
00:07:57Uh.
00:08:19Okay.
00:08:22Let's see.
00:08:35Well, I mean, last night, you know, Facebook Live, we watched this, like,
00:08:40videos about, like, Navy SEALs, Special Forces, U.S. Army,
00:08:45the basic combat training.
00:08:49And, uh, it kind of motivated me to work out some more because I've been
00:08:51very careful regarding workouts due to my right shoulder injury.
00:08:57It's healed, but, uh, so it's a good time to get back to more exercise.
00:09:06I mean, I run five days a week, but when it comes to muscle exercise,
00:09:11I've been taking it easy on that right foot, so, yeah,
00:09:14right shoulder recovery, okay?
00:09:16It's healed.
00:09:17It's time to build up back to the previous level of fitness, you know?
00:09:24Yeah.
00:09:25So, yeah, slowly, yeah.
00:09:28Cheers, yeah.
00:09:32Okay.
00:09:35Um, well, let me start drinking a little bit.
00:09:40And, uh, yeah.
00:09:48I have to fill all these bottles.
00:09:55It will take a while.
00:09:58I can't feel lazy today.
00:10:00It's Monday, so.
00:10:10Yeah.
00:10:28Good.
00:10:32Okay.
00:10:48So, they say, like, Kamala Harris, like, it's her honeymoon period,
00:10:53yet it's not going to last very long, all this excitement.
00:10:57Well, some say that, but we'll see.
00:11:00I mean, she's a very exciting person, actually.
00:11:03Big smile and everything.
00:11:04Great sense of humor.
00:11:10And she's been quiet as vice president because she does not want to outshine
00:11:21her boss, Joe Biden.
00:11:24So she's been quiet.
00:11:25But now that she is the nominee, now she can shine.
00:11:34And she did that.
00:11:36And it was quite surprising.
00:11:40Kamala Harris, she caught everybody by surprise, especially Republicans.
00:11:50And she's been there all this time.
00:11:57But it feels as if she's some kind of meteor.
00:12:03You know?
00:12:06I was surprised.
00:12:08I didn't expect this at all.
00:12:16I don't think anybody did.
00:12:20As a matter of weeks, she basically secured nomination, basically.
00:12:28The rest is just formality.
00:12:32And surprising turn, really.
00:12:42See, Biden is quite a smart guy, right?
00:12:44Yeah.
00:12:47It's such a dramatic moment.
00:13:01It is chilly.
00:13:02Wow.
00:13:05Okay.
00:13:07Okay.
00:13:09Okay.
00:13:11Okay.
00:13:13Okay.
00:13:16Okay.
00:13:18Okay.
00:13:20Okay.
00:13:22Okay.
00:13:25Okay.
00:13:27Okay.
00:13:29Okay.
00:13:32Okay.
00:13:34Okay.
00:13:36Okay.
00:13:38Okay.
00:13:40Okay.
00:13:42Okay.
00:13:44Okay.
00:13:46Okay.
00:13:48Okay.
00:13:50Okay.
00:13:52Okay.
00:13:54Okay.
00:14:24Okay.
00:14:26What do we have here?
00:14:30Uh...
00:14:39Yeah.
00:14:41We are not done here yet.
00:14:43We're just making progress.
00:15:03You know what?
00:15:04Instead of drinking something strong, let's drink something more moderate,
00:15:07like wine, okay?
00:15:08Wine and beer.
00:15:09Okay?
00:15:11Yeah.
00:15:18Okay.
00:15:362-0-1-0, okay.
00:15:37Let's see if we found a function for that.
00:15:40Cheers.
00:15:58Okay, we have index K.
00:16:06Okay.
00:16:08We're trying to figure out what our next step would be, okay?
00:16:10Yeah.
00:16:12It's a big project, okay?
00:16:13So, yeah.
00:16:27Okay.
00:16:30We're transforming 0-1-2-3 into minus 2-0-1-0.
00:16:40Okay.
00:16:54Yeah.
00:17:18Okay.
00:17:46Okay.
00:18:00I see.
00:18:03Okay.
00:18:04Okay, okay, okay.
00:18:08We have index M and we have index N.
00:18:13So, we have to find a function that defines the relationship between N and M, okay?
00:18:17So, that's what's going on.
00:18:19Okay?
00:18:21And N, we pair them up.
00:18:25And the first number, the right number, 2M-1.
00:18:32Okay?
00:18:33Left number, 2M-1-2.
00:18:38We have 2M-1.
00:18:40And then 2M-1-1 and 2M-1.
00:18:44Okay, okay, okay.
00:18:45That's what's going on here.
00:18:46Okay, okay, okay.
00:18:48It's a lot, yeah.
00:18:52Just to remember what we have been doing because this is a long story.
00:18:56Yeah, it takes a while to actually go back and remember what we did, okay?
00:19:01Because we did a lot, okay?
00:19:02Yeah.
00:19:04Okay, now we're back on track, okay?
00:19:06Yeah.
00:19:07We're going to have to grab another whiteboard, okay?
00:19:09So, let's take five minutes break, okay?
00:19:11Yeah, thank you.
00:19:12Yeah.
00:19:13Cheers, yeah.
00:19:20Okay, five minutes.
00:19:22Thank you.
00:19:30Okay.
00:20:00Okay.
00:20:30Okay.
00:21:00Okay.
00:21:30Okay.
00:22:00Okay.
00:22:30Okay.
00:22:46Okay.
00:22:48Okay.
00:23:19Okay.
00:23:28Okay.
00:23:38Okay.
00:24:00Okay.
00:24:20In front of me, on the floor.
00:24:32There we go.
00:24:35What a workout.
00:24:38These whiteboards are heavy.
00:24:45Okay.
00:25:12Okay.
00:25:18Let me drink something stronger, okay?
00:25:21Cheers.
00:25:27Nice.
00:25:36I do not want to just copy everything.
00:25:39I mean...
00:25:49I'm sorry, I have to.
00:25:50Okay.
00:25:56Yeah.
00:26:25Okay.
00:26:56Okay.
00:27:02Okay.
00:27:08Okay.
00:27:27Okay.
00:27:52Okay.
00:28:02Okay.
00:28:31Okay.
00:28:32Okay.
00:29:01Okay.
00:29:07It is so dry, that's why I drink alcohol, okay?
00:29:09So, I know this is too boring.
00:29:11Cheers.
00:29:42Okay.
00:29:51Okay.
00:30:01Okay.
00:30:31Okay.
00:30:41Okay.
00:30:51Okay.
00:31:01Okay.
00:31:12Okay.
00:31:18Ah.
00:31:22Cheers.
00:31:53Okay.
00:31:56Okay.
00:31:59Okay.
00:32:02Okay.
00:32:05Okay.
00:32:09Okay.
00:32:12Okay.
00:32:15Index K.
00:32:41Let's start from zero.
00:32:42Okay.
00:32:43Okay.
00:32:53It is so much.
00:33:24Okay.
00:33:27Okay.
00:33:31That's K.
00:33:55And K rule four, we call it A.
00:34:15Okay.
00:34:24Let's take five minutes break, okay?
00:34:29Yeah.
00:34:32All right.
00:34:34Let's take it nice and easy, okay?
00:34:36Yeah, it's a lot, but...
00:34:38Yeah.
00:34:40Okay.
00:34:42We'll take it easy.
00:34:44Nice and slow.
00:34:47It's kind of tedious part, but yeah.
00:34:49Need to be done, so...
00:34:51Five minutes.
00:34:52Thank you.
00:34:56Yeah.
00:35:00Okay.
00:35:31Okay.
00:35:40Okay.
00:35:50Okay.
00:35:59Okay.
00:36:10Okay.
00:36:19Okay.
00:36:30Okay.
00:36:39Okay.
00:36:50Okay.
00:36:59Okay.
00:37:10Okay.
00:37:18Okay.
00:37:26Okay.
00:37:33Okay.
00:37:41Okay.
00:37:49Okay.
00:37:56Okay.
00:38:04Okay.
00:38:12Okay.
00:38:19Okay.
00:38:27Okay.
00:38:35Okay.
00:38:42Okay.
00:38:48Okay.
00:38:54Okay.
00:39:00Okay.
00:39:06Okay.
00:39:12Okay.
00:39:25Okay.
00:39:26Okay.
00:39:27Okay.
00:39:28Okay.
00:39:29Okay.
00:39:30Okay.
00:39:31Okay.
00:39:32Okay.
00:39:33Okay.
00:39:34Okay.
00:39:35Okay.
00:39:36Okay.
00:39:37Okay.
00:39:38Okay.
00:39:39Okay.
00:39:40Okay.
00:39:41Okay.
00:39:42Okay.
00:39:43Okay.
00:39:44Okay.
00:39:45Okay.
00:39:46Okay.
00:39:47Okay.
00:39:48Okay.
00:39:49Okay.
00:39:50Okay.
00:39:51Okay.
00:39:52Okay.
00:39:53Okay.
00:39:54Okay.
00:39:55Okay.
00:39:56Okay.
00:39:57Okay.
00:39:58Okay.
00:39:59Okay.
00:40:00Okay.
00:40:01Okay.
00:40:02Okay.
00:40:03Okay.
00:40:04Okay.
00:40:05Okay.
00:40:06Okay.
00:40:07Okay.
00:40:08Okay.
00:40:09Okay.
00:40:10Okay.
00:40:11Okay.
00:40:12Okay.
00:40:13Okay.
00:40:14Okay.
00:40:15Okay.
00:40:16Okay.
00:40:17Okay.
00:40:18Okay.
00:40:19Okay.
00:40:20Okay.
00:40:21Okay.
00:40:22Okay.
00:40:24Okay.
00:40:25So, that was the, that's what, fun part.
00:40:26And, like, verifying the formula that's more, like, tedious.
00:40:28But, we only have four cases.
00:40:32Zero, one, two, three.
00:40:34So, and it's supposed to be minus two, zero, minus one, zero.
00:40:47And, blah, blah, blah.
00:40:49It just repeats itself, okay?
00:40:51okay so
00:40:55zero zero minus two okay it's one one
00:41:03one minus two yeah it becomes zero when it's two
00:41:08zero one minus two minus one okay three um
00:41:15one one minus two zero okay it works okay good
00:41:24okay cheers
00:41:34next step
00:41:38i'm gonna get the wiper over there
00:41:45um
00:41:52um okay
00:42:00um
00:42:09now
00:42:15we need to find a relationship between k and m
00:42:25okay
00:42:33ah
00:42:45m is here okay m
00:43:16okay
00:43:28it will be
00:43:37so
00:43:41this m is equal to
00:44:04ah
00:44:10so
00:44:32hey divide by two
00:44:41actually
00:44:50k plus one
00:44:53divided by two
00:44:55c length
00:45:02yep
00:45:10okay
00:45:16yep that works okay okay
00:45:19wow that's tricky
00:45:23cheers
00:45:36this m
00:45:40ah
00:45:44ah
00:45:52time to go quick
00:46:00it's been like less than one hour okay
00:46:03okay
00:46:05okay
00:46:11what would be the next step
00:46:15the goal is this
00:46:17you want to express bn in terms of n okay yeah that's the goal
00:46:22okay
00:46:26yeah
00:46:42m k a that will intermediate variables okay
00:46:46yeah you want to express bn in terms of function where only and nothing else
00:46:52okay yeah cheers
00:47:22you
00:47:52you
00:48:23you
00:48:34okay
00:48:38okay
00:48:53so
00:49:00i mean i'm kind of debating should we just continue this or
00:49:04okay let's take five minutes break okay and um
00:49:08then we'll see whether to continue this tonight or not
00:49:13okay i'm kind of debating because uh this is heavy
00:49:17okay yeah uh but let's take five minutes okay and then see
00:49:25then determine let's determine whether continue this tonight or not
00:49:30we may as well continue tomorrow okay because it's a lot
00:49:35yeah
00:49:38yeah i have quite busy not too too busy but
00:49:42fairly busy day at work today so yeah
00:49:47okay five minutes thank you yep
00:49:50wow
00:49:59all right
00:50:13you
00:50:20you
00:50:42you
00:51:12you
00:51:42you
00:52:13you
00:52:17now let's take a break from mathematics a little bit okay
00:52:20yeah uh
00:52:24uh we are on the right track uh you know what we are doing and uh
00:52:28just taking time right yeah so the humanized series in the daily motion
00:52:34is like podcast basically okay so it's just me talking alone
00:52:38there's no guest so it's recorded it's not live okay but instagram live it's more like
00:52:46radio talk show i used to call to write this talk show
00:52:50when i ran for u.s senate okay so so radio talk show is like this okay when there are
00:52:56no callers then they just talk okay yeah
00:53:02but when there are callers then they take the call and then
00:53:06with the caller and the host of the show they have conversation okay
00:53:10yeah instagram live is just like that okay yeah same format okay
00:53:15yeah i learned from radio talk shows i guess yeah
00:53:20because i called to them a lot okay so and but the difference yeah we have video so it's like video
00:53:26talk show okay so audio visual okay yeah
00:53:33it's kind of new but uh i mean inside of life other people do it right
00:53:41but uh also back in the days tumblr nowadays i tumblr they printed out the video show
00:53:47this is called meet me okay yeah maybe enhanced security measure yeah
00:53:57okay cheers
00:54:00um
00:54:04i really like tumblr live i i i did that couple of times but not many people showed up
00:54:12because i'm not very well known in tumblr universe but uh i went to other people's tumblr show
00:54:18live show okay that was fun yeah great people all around the world
00:54:25hmm
00:54:29oh yeah
00:54:35now
00:54:43uh
00:54:55you
00:55:26you
00:55:29me and other index okay
00:55:34we'll call it
00:55:37see
00:55:41you
00:55:54it's the 2m minus 1 then 2m plus 0 and 2m plus 1 2m plus 2 yeah so minus 1
00:56:020 plus 1 plus 2 plus 3 okay that's c okay so uh
00:56:10yeah
00:56:16yeah four elements grouping okay
00:56:23so
00:56:39okay oh yeah
00:56:43okay
00:56:49let me do some more okay yeah it's kind of boring okay so
00:56:57why is this part boring because it's kind of easy it's not very challenging okay so
00:57:02but not too bad
00:57:07okay so it will be
00:57:13c is equal to
00:57:16um
00:57:19um
00:57:40four five six seven it becomes zero okay so uh so k
00:57:48divided by four
00:57:51floor it
00:57:54minus one okay
00:58:04yeah mathematical marathon here
00:58:09cheers
00:58:13yeah
00:58:25um
00:58:42um
00:58:53and this number like minus 2 0 minus 1 0 we'll call this uh d okay
00:59:05now
00:59:09you
00:59:11our next step would be
00:59:17n is equal to
00:59:20some function
00:59:24let's say j function j okay over
00:59:30you have um
00:59:35d well you have c okay okay you have m
00:59:43c and d okay
00:59:53and uh
01:00:05if you can if you're not find that function
01:00:09go for it okay yeah we'll take five minutes okay okay
01:00:14one step at a time
01:00:18okay
01:00:22five minutes break please thank you yeah
01:00:26making a very good progress here
01:00:35yeah working hard yeah five minutes thank you yep
01:00:40it is fun yeah it is yeah
01:00:46okay
01:01:04you
01:01:34you
01:02:04you
01:02:34you
01:03:04you
01:03:15okay let's continue yes now it's getting a little bit more
01:03:21for now
01:03:24yeah
01:03:27okay
01:03:30um
01:03:33i'm not
01:03:37okay
01:03:42the primary right
01:03:45let's relax let's chill
01:03:51cheers happy monday yeah
01:03:56you
01:03:59um
01:04:03you
01:04:23okay that's ck right
01:04:28and uh dk
01:04:35so i guess we need to include
01:04:41okay
01:04:44okay i mean it's like the most difficult way to express
01:04:51greatest common divisor five
01:04:55i mean there's a lot easier way right i the last is five or zero what is not
01:05:01input number then greatest common divisor is just five otherwise it's one okay
01:05:07that's very easy but we are using best coefficient okay and you know to uh
01:05:15find a general formula for credit common divisor that's what we have to okay
01:05:19that's why we are doing this okay okay yeah
01:05:25yeah
01:05:33now m
01:05:41okay so we have mk ck and dk okay yeah their functions okay okay so all right
01:05:55so
01:06:13and later on maybe tomorrow we'll make another kind of new approach okay so like
01:06:21we'll see what if we include the uh multiple five here okay we are excluding it okay but
01:06:31uh yeah we can try that tomorrow okay yeah we'll see another time okay if not tomorrow
01:06:37okay cheers yeah
01:06:43yeah i think i call when i do mathematics sometimes because i'm so excited because i'm
01:06:48having a lot of fun i want to amplify that fun other times yeah because sometimes it's
01:06:54too boring so to neutralize the boredom you know ease the boredom yeah so either
01:07:01way it works whether i'm enjoying mathematics or not quite enjoying it i will
01:07:06have helps both both ways okay so cheers yeah
01:07:12let's make it better my feelings if i'm having fun
01:07:20improvise it if you're not having fun yeah it is the border okay so okay like
01:07:27plus alpha basically alcohol okay
01:07:32cheers yeah
01:07:36okay
01:07:39i don't know of any mathematicians who drink alcohol when they do mathematics
01:07:43i don't know of any okay i do
01:07:51okay
01:08:05okay
01:08:12here's
01:08:16okay
01:08:32uh-huh
01:08:46okay
01:08:49okay
01:09:12well we have care there also yeah
01:09:19okay
01:09:37okay now
01:09:43we have mk here ck here and dk here okay
01:09:51if you are to express this n okay in terms of just k go for it okay yeah
01:10:03we'll take five minutes okay now n as a function of k okay
01:10:10oh i'm kind of a little bit tipsy
01:10:18time check
01:10:24it's been more than one hour okay yeah good
01:10:29five minutes break please thank you
01:10:33mm-hmm
01:10:37okay
01:10:44all right there we go very cool
01:10:51get some water
01:11:06mm-hmm
01:11:36you
01:12:06you
01:12:36you
01:13:06you
01:13:37you
01:13:58okay
01:14:02you
01:14:05uh-huh
01:14:16let's look at this together
01:14:24right
01:14:32you
01:14:36oh
01:15:02you
01:15:23um
01:15:32you
01:15:45yeah bn uh we are not there yet we have done this uh in different methods okay
01:15:51we are taking alternative approach okay so uh we are just playing with the index
01:15:58for now bn yeah we deal with that later okay so
01:16:02yeah
01:16:09basically we are having fun with mathematics okay yeah
01:16:16mathematical entertainment adventure okay
01:16:22whether uh this will have practical purpose eventually yeah
01:16:31maybe find the general formula for greatest common divisor okay so
01:16:37cheers
01:16:43mm-hmm
01:16:53you
01:17:06let's just plug it in yeah
01:17:10mk okay
01:17:23you
01:17:28ck
01:17:41uh dk it has a okay yeah so it will be like
01:17:48careful okay so
01:18:11there we go okay
01:18:15oh yeah
01:18:23yeah
01:18:32now let's think about the relationship between ceiling and flooring function
01:18:38okay
01:18:42uh sure time check
01:18:52we have more than 30 minutes left okay
01:18:58the relationship between ceiling and flooring function okay
01:19:06cheers
01:19:12mm-hmm
01:19:16there's some room here so let's use it
01:19:31uh
01:19:36if it's a whole number right
01:19:47what was not a whole number
01:19:53you
01:20:04okay there's a difference of one okay this is four this is three right yeah
01:20:12how can we generalize this
01:20:17I would say
01:20:23you
01:20:283.5 is the 7th over by 2
01:20:35okay
01:20:38uh
01:20:45okay
01:20:53you
01:20:59one is seven row two
01:21:06okay
01:21:23you
01:21:33okay
01:21:37now a hypothesis okay
01:21:53you
01:22:06it's a hypothesis all right yeah
01:22:11I don't think this is true okay yeah I doubt it okay
01:22:18but if this is yeah most likely this is not true okay so but if it is not true
01:22:25well it's good starting point we can modify this okay yeah cheers yeah
01:22:31because it will be minus zero or minus one okay so okay
01:22:38mm-hmm
01:22:49you
01:22:58like
01:23:19um
01:23:38okay
01:23:41mm-hmm
01:23:47okay I do not think it's that but it will be more like um um
01:23:58uh
01:24:02you
01:24:06okay yeah this is not true okay so uh it'll be more like this okay
01:24:16using Iverson bracket
01:24:31you
01:24:41yep
01:24:45mm-hmm
01:24:48okay now we need to convert this Iverson bracket into regular algebra okay so uh
01:24:54yeah okay
01:24:57she want me to be difficult okay yeah
01:25:03the thing is I'm getting drawn
01:25:08who draws to do mathematics people
01:25:14we'll take five minutes right okay yeah
01:25:19you
01:25:24we have more than 30 minutes left good
01:25:30if you know convert this Iverson bracket expression to yet regular algebra go for
01:25:36it okay yeah we'll take five minutes break thank you
01:25:39yep
01:25:43ah
01:25:46Oh
01:25:51there we go mm-hmm
01:25:56oh yeah mathematics Monday
01:26:12you
01:26:42you
01:27:12you
01:27:42you
01:28:12you
01:28:14you
01:28:16you
01:28:18you
01:28:20you
01:28:22you
01:28:24you
01:28:26you
01:28:28you
01:28:30you
01:28:32you
01:28:34you
01:28:36you
01:28:38you
01:28:40you
01:28:42you
01:28:46you
01:28:56you
01:29:00you
01:29:04you
01:29:06You
01:29:36You
01:29:48Okay
01:29:49Yeah, do the cigarette break. I came up with an idea to convert this I was Wilson bracket to regular algebra
01:29:55Okay, and then let me share that with you or maybe you already have it. Okay. Yeah
01:30:01Mm-hmm
01:30:03Wow
01:30:07Okay, cheers
01:30:13You more time yeah
01:30:16Hint yeah, like ceiling flooring and divide by whatever I did
01:30:22Come like that. Yeah
01:30:26Royal zebra, of course, right there
01:30:30Cheers
01:30:34Hmm
01:30:37So
01:30:39Do you more time
01:30:42I'll give you more time. Okay
01:30:45Yeah, use raw as a Brazilian division
01:30:49That stuff the usual right here
01:30:52This is a phone actually
01:30:57We are tremendously contributing them to the mathematics, okay. Yeah methodology, right
01:31:03Royal zebra and blah blah blah, okay
01:31:07Rhymes that way
01:31:09Yeah
01:31:11Don't methodology. Okay. Yeah
01:31:14contribution
01:31:16Okay
01:31:23Let's just do it, okay
01:31:26You
01:31:31Just boom up one more seat and then we'll be talking about that. Yeah. Cheers. Yeah
01:31:39Hmm is this
01:31:44One more service care I'm giving you some like 10 more seconds, okay
01:31:56Mm-hmm it is
01:32:00You
01:32:23Okay
01:32:25Yeah, I have never seen formulas like this well, I mean rule in mathematics
01:32:32Transition algebra they use mod
01:32:35Yeah, we can use our
01:32:37Capital R. Is that role when we type in the computer because there's a lot easier
01:32:43ASCII character, okay
01:32:45but when it comes to
01:32:47White board. Yeah, we prefer to use Greek letter all okay
01:32:52Why it is easier to write
01:32:55as opposed to
01:32:58Capital alphabet English alphabet R. Yeah rule is just a lot easier to write
01:33:02Okay, but when it comes to computer typing, yeah large capital letter R
01:33:07They'll be a lot easier to type. Otherwise, we have to copy and paste from
01:33:12Greek alphabet letter, okay
01:33:15Okay
01:33:18On the whiteboard, yeah rule is just a lot easier. It's hip very exotic Greek letter, okay
01:33:26Yeah, so that's that. Okay. I have never seen any formula like this. Maybe somebody already found this formula
01:33:34I don't know. I don't
01:33:37Know they use like a mod modulo arithmetic. I don't know. Yeah, that's that. Okay
01:33:45Yeah
01:33:53Okay
01:33:56Yeah, so not arrow B, but arrow B divided by B and CLM. Okay, and then it works
01:34:03Good
01:34:05Okay, making great contributions in number theory
01:34:09All right mathematics, okay
01:34:12methodology like mapping
01:34:14methodology and
01:34:15We are making tremendous contribution to mathematics. Yeah, okay
01:34:19Cheers. Yeah, welcome to Humanology, okay
01:34:26You
01:34:30Now
01:34:31Let's have one more thing and then we wrap up for tonight. Okay, and we'll continue this tomorrow maybe
01:34:39Wonderful
01:34:41Hairstylist
01:34:42Barbershopping so South Korea. Okay. Oh, yeah
01:34:46Because I'm balding. I'm getting old, right? It's they left this like
01:34:51some pieces of long hair
01:34:53What to that
01:34:56Pieces of long hair would cover my
01:34:58balding spot, okay
01:35:00They are artists. Okay. Yeah hairstylist in so South Korea. Okay, very smart people. Yeah great professionals
01:35:07Cheers. Yeah
01:35:12Okay, so I start digitizing this in the zoom software and then
01:35:17Start to upload to Deremotion. Okay, and then we'll do Instagram live together. Okay
01:35:23Happy Monday. Thank you. Yep. See you tomorrow. Oh, see you soon. Okay. Yeah. Yeah
01:35:29Mm-hmm. Thank you