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CreativityTranscript
00:00:00Hello friends, welcome to Humanology 2056. Yeah, I dressed up in a long time. I think
00:00:13for a change, I guess. But it's just one more necktie. That's it. But this is a good necktie
00:00:21actually, okay? My parents' friends gave it to me and I'm very grateful. Yeah, so now just one
00:00:30more necktie. One necktie. That's the only difference I had from like yesterday, right?
00:00:35Just one, one necktie. It makes a big difference, huh? Yeah, sure. Okay. Uh, yeah. No.
00:00:44So, physical therapy, let's go.
00:01:02Almost healed, almost.
00:01:06Yeah.
00:01:14Almost. Good, good, good. Okay. For my arms, let's do
00:01:34uh,
00:01:42swing kick. Front swing kick.
00:01:46Front sideways swing kick, okay?
00:01:50Okay, good, good. Five minutes break, please. Thank you.
00:02:08Good exercise.
00:02:20Good.
00:02:50Good.
00:03:20Good.
00:03:50Good.
00:04:20Good.
00:04:50Good.
00:04:52Good.
00:04:54Good.
00:04:56Good.
00:04:58Good.
00:05:00Good.
00:05:02Good.
00:05:04Good.
00:05:06Good.
00:05:08Good.
00:05:10Good.
00:05:12Good.
00:05:14Good.
00:05:16Good.
00:05:18Good.
00:05:28Good.
00:05:42Okay.
00:05:44you
00:06:14you
00:06:44you
00:06:55okay welcome
00:07:01some question on the record I read more about after all I read you about John
00:07:09dark French hero
00:07:17she was 16 years old then like 17 18 19 something I think so yeah underage
00:07:24minor saving France as a best basically she played a role as cheerleader
00:07:30basically okay so and also a military advisor although she was not trained
00:07:37okay she gave courage to generals and soldiers are like but they took a very
00:07:43seriously okay so I learned more about her so some important later later the
00:07:50error correction so some background okay so you know it was the hundred years
00:08:01between Britain and France okay it's a war of succession who's gonna be the
00:08:10next king of France and you know the William the conqueror he came from
00:08:19France to England conquer England so some dynasty king in England as some of
00:08:29them have some French origin okay so one of them was it Edward the third or
00:08:37something like claimed hey I'm gonna be the next king of France because I would
00:08:42descend on French people royal family and then that like two more candidates
00:08:50for next king later on with just the last 100 years war but later on near
00:08:58the end of the hundred years the that's when John dark came okay
00:09:04Joan of Arc
00:09:08only for 1400s okay yeah and
00:09:16didn't take us yesterday first okay later on okay
00:09:21and so there's this prophecy legend that says that yeah a virgin French
00:09:30version will save France from England okay so she's saying I yeah I am that
00:09:37woman and it turned out to be is I said footprint prophecy okay so and so in her
00:09:49time the two competing parties like they were getting party for a party
00:09:53America okay now one of them Brugundy Brugundy and can northern France okay
00:10:00and southern France this like our monics I'm a neck party okay and she John dark
00:10:13supported I'm a neck why Brugundy and they are allies of English people okay
00:10:22so they can allowed England to invade France in order to gain power okay the
00:10:33day got the struggle deal between Brugundy party of France and English
00:10:38people they struggle deal okay so their military allies basically okay yeah
00:10:45Brugundy yeah because you know to gain power okay so and thanks to John dark
00:10:51yeah I like our maniac party won the war okay so the people who captured and
00:11:02executed John dark then I use people there are French people there Brugundy
00:11:07Brugundy and okay yeah so I was there okay I didn't know I yeah I love
00:11:14something every day right there well something old historical okay yeah
00:11:24okay let's do mathematics a little bit because I I know when I'm ready to
00:11:30mathematics because when I am on my bed I kind of I'm curious about that part of
00:11:36that problem okay so then it's I'm ready to get back to it okay sure let's
00:11:43have fun it's broken then we get back to this sure it's about time
00:11:51yes
00:11:54okay
00:11:57ah
00:12:04there we go
00:12:17okay
00:12:27you
00:12:57you
00:13:27you
00:13:57you
00:14:27you
00:14:34you
00:14:36you
00:14:56ah
00:14:58you
00:15:05so during the lunch hour I went back to the lake Lucille Park for running and
00:15:11then I picked up some more Irish cranberries oh they're delicious okay
00:15:18yeah yeah same bottle yeah I wash them rinse them in the cold water
00:15:30okay
00:15:36I can't think about this terms I don't want to be like too close okay let's look
00:15:43at this it's Gaussian summation like n times n plus 1 over 2 1 1 plus 2 2 plus
00:15:53dot dot dot plus n okay here your variation start from 4 3 okay so
00:16:01that's why we have to do n plus 2 n plus 3 over 2 divided by 3 okay now let's plug
00:16:09in the number let's verify this okay just this part
00:16:14when n is 1 3 times 2 6 6 minus 3 3 when n is 2 2 times
00:16:325
00:16:3510
00:16:40oh let's let's go back when n is 1 3 times 2 6 6 minus 3
00:16:523 okay when n is 2
00:16:572 times 5 10 10 minus 3 7 so okay there's something wrong with this
00:17:04okay okay
00:17:11ah
00:17:25you can return
00:17:34you
00:18:01ah
00:18:04Let's do Gaussian summation real quick, okay? We have 3+, 4+, dot dot dot plus, and minus
00:18:20It's a little bit confusing
00:18:35You
00:18:43Okay
00:18:55You
00:19:04You
00:19:13Okay, okay, okay, how about this?
00:19:23You
00:19:34You
00:19:36Three
00:19:48Okay
00:19:54And
00:19:59Let's say there are n of this, okay
00:20:01Then you have 1, 2, 3, 4, right? If there are n of this
00:20:11Dot dot dot dot dot then n plus 2, okay? So there are n of this. So this is equal to
00:20:222n plus
00:20:24There are n of this. 2, 2, 2, 2. So n of this
00:20:28n2's, okay? So 2 times n plus, the rest is n. 1 plus, 2 plus, 3 plus, blah blah, plus n
00:20:47Okay, and now let's find, let's check it
00:20:53If n is 1, 2 plus
00:20:561, 3, okay, right? n is 2. 4 plus
00:21:083? Which is 7. Still not working
00:21:26You
00:21:38Oh, wait a minute
00:21:42This formula is correct, actually
00:21:48Well, because we are looking at summation, not individual term in the sequence
00:21:54So
00:21:56When n is 2, 4 times, 2 times
00:22:025, 10, 10 minus 3
00:22:057. 7 is 3 plus 4. Okay, I was confused, okay?
00:22:11Yeah, we have to look at the summation of the sequence. How about this one?
00:22:15When n is 2, yeah, 4 plus
00:22:183, 7, yeah, so they are equivalent
00:22:23Yeah
00:22:45Yeah, yeah, if we just expand this, it is equivalent formula. Okay, good
00:22:53It works. I had dinner, so I'm full, so that's why I'm
00:23:01A little bit low energy. Digestion, digestive fatigue
00:23:09It was warm-up, though. It's nice. Yeah
00:23:16Mm-hmm
00:23:19Yeah, okay, good
00:23:24You
00:23:27Mm-hmm
00:23:39Now we are combine those two of this
00:23:48And it's a little bit tricky
00:23:54You
00:23:58We are combining these two sequences, okay, and what we are looking for is the summation
00:24:06Okay, yeah
00:24:08Minus 1, 3, minus 2, 4, minus 3, 5, minus 4, 6. Okay
00:24:17Or you can end in minus 4
00:24:20Then we have four terms up there and three terms down here
00:24:27Okay
00:24:29So it depends on the indexation. Okay, so we need to unify these two formulas and
00:24:37somehow
00:24:39come up with a
00:24:40combined summation formula
00:24:43Okay
00:24:45This requires some thinking, okay, and some trial and error
00:24:51Examples, okay. It doesn't have to be trial and error
00:24:55Because we may get it right for the first time. Okay, so we need some trials
00:25:01Make some examples. Okay. Okay
00:25:04Okay, let's take a break. Okay. Thank you
00:25:06You
00:25:11I'm digesting. Okay. Yeah, so a little bit low energy
00:25:21All right, five minutes, thank you. Yeah
00:25:27Yeah, there we go
00:25:36You
00:26:06You
00:26:15Ah, let me get some water
00:26:36You
00:27:06You
00:27:36You
00:28:06You
00:28:36You
00:29:06You
00:29:36You
00:29:47Okay, welcome back and
00:29:51Let's talk about
00:29:52Beauty a little bit. Yeah
00:29:54Taking a good rest very important. Okay
00:29:57So it's about balancing. Okay work, play, rest, socialize
00:30:03people time, long time
00:30:05It's good for health
00:30:08mentally, physically and also
00:30:10Good for youth. Yeah
00:30:13Stay young, stay young
00:30:15It's same as being healthy. Okay. Yeah
00:30:19Youth, health, same thing. Okay
00:30:25Okay and creative health, okay, yeah creative
00:30:29Endeavor like writing or you can if you can yeah writing on music, playing music
00:30:36Me, I'm a writer. So I just write
00:30:39Like poetry, novels, it's just a lot easier than composing and playing musical instrument
00:30:46That's a lot more difficult and I couldn't do it. Okay, so
00:30:50I did write music for Seraphix for my Teflon movie, but I played it on computer
00:30:55Okay, because I don't know how to play the instruments. Okay, so
00:30:59Okay
00:31:01Okay, so
00:31:07It's like this, okay, um
00:31:12This
00:31:14I worked on this problem before. Okay a couple days ago. Okay, so
00:31:18while the
00:31:20Zoom is disguising the prior footage. Okay, so
00:31:23um
00:31:26We have
00:31:29Eight terms
00:31:33Eight terms here. Okay, one three, two, four, three, five, four. Okay, let's cut it there. Then we have eight terms
00:31:41Okay
00:31:43And total four terms upstairs for uh
00:31:49I'm sorry, let's combine six. Okay
00:31:52Uh
00:31:53One one three, two, four, three, five, four, six, then we have eight terms
00:32:01In that case we have four upper terms and four lower terms
00:32:08Okay
00:32:10Yeah, eight divided by two
00:32:13Because eight is even number. Okay, but when we have seven terms
00:32:18One three, two, four, three, five, four. We have four upper terms and three lower terms
00:32:26Okay
00:32:27In that case, it's not seven divided by two. It is
00:32:31um
00:32:35Upstairs
00:32:37It's um
00:32:40Seven
00:32:42Quotient two
00:32:47Okay, which is three three plus one, okay
00:32:52downstairs
00:32:54seven quotient two
00:32:59Seven q two three
00:33:02Quotient function that's like
00:33:05Euclidean division like if we divide seven by two what's the quotient three, okay
00:33:11Okay
00:33:16So it we have to like uh
00:33:23Bifurcate two branches branch out, okay
00:33:36And it depends when the number n is um even or odd
00:33:41Okay
00:33:43Okay
00:33:46Yeah
00:33:52So I came up with a formula
00:34:05We can use that formula that I came up with I just write it down copy it down here, okay, so
00:34:10Uh, but not yet
00:34:18Let's just work this out
00:34:21um
00:34:40You
00:34:53Let's give it a name
00:34:59This one, okay, uh, we give it name and we call it cn. Okay. Yeah. Yeah
00:35:09So
00:35:13To summation of cn
00:35:20This is cn, okay cn
00:35:24Minus one plus three minus two plus four is alternating sequence, okay. Yeah
00:35:31Uh
00:35:34Alternating sequence alternating series
00:35:38It's not a very well studied area
00:35:41Why? No, they don't have row algebra like we do. Okay
00:35:46That's why
00:35:48Okay now, let me
00:35:56Grab some cup
00:36:07You
00:36:15Uh
00:36:21Because there are so many of this high-protein cranberries I can actually eat some of this as I drink it. Okay, so
00:36:30All right, beautiful that is just
00:36:33Uh
00:36:37In my opinion that tastes better than commercial cranberry and then maybe related species, I don't know but
00:36:42The texture is similar, but I think this one tastes better. Okay. Yeah. Cheers
00:36:49High vitamin c
00:36:54My my my neck is already this look let's change the angle of this chair
00:37:01And let's take five minutes break, okay, thank you
00:37:04um
00:37:06All right
00:37:11If you want to come up with a formula
00:37:13For scn go for it. Okay. Yeah, we take
00:37:18five minutes break
00:37:26Okay
00:37:33You
00:38:03You
00:38:33You
00:39:03You
00:39:33You
00:40:03You
00:40:33You
00:41:03You
00:41:31You
00:41:33You
00:41:45So high bush crab is great also vitamin c and also antioxidants
00:41:52Just anti-aging
00:41:55And uh
00:41:57It is just so healthy but i'm full so I should not be eating. Okay, maybe later
00:42:04Cheers
00:42:08This is gonna break I came up with nice
00:42:11Formula to calculate this. Okay
00:42:13I'll share that with you. It's ceiling function flooring function. Okay, so
00:42:19Invented by gauss half really gauss. Okay. I don't hate him. Okay. I just came up with better notation convention modulo
00:42:26Instead of modular arithmetic from gauss. Yeah, roger brah
00:42:29By far superior method. Okay notation conversion. Okay
00:42:34That's all cheers
00:42:39I like gauss. Okay. Yeah. All right, let's go
00:42:51So welcome to opera epsilon
00:43:03So
00:43:21Is ceiling
00:43:24Of a robot tour
00:43:28Okay
00:43:30when they add elements
00:43:33Eight divided by two four
00:43:36ceiling of four four
00:43:38the
00:43:39Next higher integer. That's what ceiling function is. Okay. So when n is seven, okay seven divided by uh, two
00:43:47uh 3.5
00:43:49the
00:43:51nearest higher integer four
00:43:55Okay. Yeah, so
00:43:59We have minus
00:44:03You
00:44:08Okay plus
00:44:13This one, okay this one
00:44:17Uh, we can simplify this
00:44:26When
00:44:32Seven
00:44:36Okay
00:44:39When it's two
00:44:41Yeah, seven. Yeah
00:44:45It's one
00:44:47Three and three
00:44:5212 yeah, it works. Okay
00:44:56Uh
00:44:59Why why don't you figure this out if you want to okay, I'll give you like two minutes, okay
00:45:06Oh
00:45:09Yeah this part okay the lower echelon, okay. Yeah
00:45:15Dammit
00:45:19Uh, we use ceiling function, okay use the other one
00:45:29You
00:45:32Gauss is one of the greatest mathematicians of all time. Of course. Yeah, I don't question that. Okay. Yeah. Cheers
00:45:43It's just that when he his method is inefficient
00:45:48Then we should come up with better one
00:45:50Instead of just following his inefficient
00:45:53Notation like modularity. Okay, so that's what other mathematicians do
00:46:01They don't dare to defy Gauss they don't dare to claim that
00:46:07Uh, they can be better than Gauss
00:46:09Okay, they don't have that kind of courage or ambition. Okay, so we do
00:46:16That's why we are better mathematicians, okay
00:46:18Yeah, yeah, I regard myself as one of the greatest mathematicians of all time, okay
00:46:25Yeah
00:46:27Just being honest, okay, cheers
00:46:32You if you want to be yeah you would
00:46:36All right, let's go
00:46:48You
00:47:10Um
00:47:18Now we can combine these two
00:47:24Okay
00:47:26And we can simplify by this sigma expression, okay, let's go for it
00:47:35Uh, we need to separate out the last element, okay, this is interesting
00:47:48You
00:48:00How intriguing
00:48:12Um
00:48:18You
00:48:22Let's look at this
00:48:40Um, okay, let's how about this
00:48:48You
00:48:59Like for example
00:49:18You
00:49:26One one is
00:49:44Okay
00:49:48You
00:49:59Okay, so then this is
00:50:18You
00:50:28Yeah
00:50:29If n is even number
00:50:32n rho 2 is 0 but when n is odd number
00:50:36The n rho 2 is 1
00:50:38Okay. Okay. Good
00:50:42Amazing
00:50:45Wow, time check, okay
00:50:53I feel like exhausted. Okay, it takes tremendous brain
00:50:58Power brain energy. Okay, so it's been less than one hour. Okay
00:51:02Okay having this
00:51:04formula here
00:51:07I'll give you five minutes. Okay, if you want to
00:51:09If you want to combine these two sigmas into one sigma and then some remainder term, okay, yeah
00:51:31Oh nice
00:51:33You
00:51:37Oh, i'm like exhausted
00:51:40Well, we are making tremendous progress that's why i'm being exhausted
00:51:47That's why I have to take a breath of mathematics, okay, it is quite exhausting, okay, so
00:51:52All right, five minutes. Okay. Thank you
00:51:54Booyah
00:51:56Oh
00:52:04You
00:52:10There we go, yeah, if you want to combine these two go for it, okay. Thank you
00:52:16Wow
00:52:18You
00:52:48You
00:53:18You
00:53:48You
00:54:18You
00:54:21You
00:54:23You
00:54:43No, but our sigma convention is this if index reverses
00:54:49Then it become we'll define it as zero. Okay. Yeah
00:54:54But that's easy to define if you come to program it, you know
00:54:58For example, like sigma k from one to zero. We'll just regard it as zero. Okay. Yeah
00:55:06Okay, there'll be our
00:55:09definitional
00:55:10premise
00:55:12Kind of okay. That's easy to program, right? Yeah, so
00:55:16Yeah
00:55:18Yeah
00:55:24Okay
00:55:27Any more time I do I will drink a little okay. Cheers
00:55:39Oh nice, he's giving out the juice now
00:55:41I
00:55:43Have a cranberry vodka. It's so fresh
00:55:50And it's extremely healthy vitamin C and antioxidants and
00:55:56Give the military show like apples or cranberry. Yeah. Cheers
00:56:05Ten years I was just like cranberry has the name
00:56:08Ten years I was just like cranberry has the name
00:56:11but it is totally different maybe that related species, I don't know but
00:56:16Traditional cranberry they like grown a bog or something. This one doesn't okay. It's a small shrub. Okay dry land. Yeah
00:56:25well-drained
00:56:27They just taste similar sour, you know
00:56:31Okay, now let's move here because we have space there
00:56:38Okay
00:56:56You divide this, okay, so let's move some more
00:57:08As a filmmaker, okay, I'm very
00:57:12Conscious about this framing not too much back room not too much
00:57:19Bottom room because then it looks unstable. Okay, so, okay. It's a little bit too close
00:57:32Okay
00:57:38You
00:57:55You know formula over there
00:58:07You
00:58:35Now
00:58:37This one we can express this one better than this, okay because when um
00:58:43n is even number
00:58:47n rho 2 is 0 so k from 1 to 0 will define as a 0. Okay
00:58:52And when n is odd number
00:58:55Yeah, then uh k from 1 to 1
00:58:59So it's just a single term of this. Okay
00:59:02and
00:59:04When k is 1, okay 1 times
00:59:082 divided by 2 that's 1 right so this can be simplified as further simplified as
00:59:35Plus
00:59:38If k is even 0
00:59:42k is odd 1
00:59:46k is from 1 to 1 and when k is 1 yeah 1 times
00:59:532 divided by 2 that's 1 right? Yeah, this whole thing becomes n rho 2
01:00:00Magic
01:00:02All right, yeah, wow
01:00:09Booyah
01:00:15I technically got n o 2 times 1 that's n o 2. Okay
01:00:27What's that magic
01:00:32Miracle, okay
01:00:39Cheers
01:00:55Now
01:00:57Let's take another five minutes let's take it slow. This is a lot
01:01:01It's not difficult it's just a lot
01:01:07Using this plug it in
01:01:12Now let's find our final formula I give you five minutes if you want to do it on your own, okay
01:01:20Yeah, just practicing it right here. Okay, and then
01:01:24Then we'll come up with final formula for this
01:01:27Okay. Yeah final spread. Thank you
01:01:31You
01:01:34It feels like i'm like running with my brain, okay, so yeah
01:01:39this is why
01:01:41I take a breath of mathematics for like several several several days
01:01:46All right, finally. Thank you. Yep
01:01:54Yeah, there we go, thank you
01:01:56Yeah
01:02:26You
01:02:56You
01:03:26You
01:03:56You
01:04:26You
01:04:56You
01:05:26You
01:05:56You
01:06:26You
01:06:56You
01:07:26You
01:07:56You
01:08:26You
01:08:56You
01:09:02You
01:09:26You
01:09:56You
01:10:26You
01:10:56You
01:11:20Oh
01:11:26You
01:11:31Okay, welcome back
01:11:36Wow great progress very fast progress today
01:11:40Because uh, this is not a difficult concept, okay, it's just uh
01:11:46It's a long story
01:11:48It takes long time with a lot of content here
01:11:53But it's not difficult so it's not like deep down deep down like you don't have to dig too deep
01:11:59It's just that we have it's a long journey
01:12:02Because there's a lot over here. Okay
01:12:05All right
01:12:06so
01:12:08Do you feel that it's out? Uh
01:12:12Any more time I do
01:12:14Let me do some more
01:12:16Because i'm super excited about this. Okay, but big picture. Yeah, the uh
01:12:22Basic coefficient
01:12:26Constant time algorithm over one. Okay
01:12:30Now what they have is log n over log n. Okay, uh, we're gonna make it just one formula for all
01:12:37Calculation for basic coefficients. Okay. Yeah cheers
01:12:43After that, yeah
01:12:45Constant time algorithm or formula for uh chance remainder theorem contrary that over
01:12:51I log n. Okay
01:12:53All right
01:12:54So that's our goal. It's a long journey. I did not take I did not think that you take this long
01:13:03Oh, yeah, that's fine real time cheers
01:13:16So back in open zoom days, yeah, I was running for us
01:13:20Senate in alaska 2022 two years ago. Yeah, I used to wear a suit and tie like this during the open zoom show and
01:13:28One guy joked
01:13:31Hey honky, you look like a uh, an lgbt
01:13:35lgbt
01:13:37uh
01:13:38youth pastor
01:13:40That was funny
01:13:43There was like a good sense of you
01:13:45I
01:13:48G-a-y
01:13:50Youth pesto, but I cannot pronounce that word. Okay
01:13:55Towards my mouth, okay
01:13:59Okay, any more time I do I want to do some more because I'm excited yeah cheers
01:14:16You
01:14:18You're going somewhere with this
01:14:23But this is the case of when the the smaller number best question, okay smaller input is five
01:14:30When smaller input is some other numbers
01:14:33Uh, my guess is that you look similar
01:14:35So we we have another layer of generally photo generalization to do. Okay, but that's later
01:14:43Okay. Yeah
01:14:44maybe tomorrow or
01:14:46Over the weekend. Yeah. Well, happy july 4th
01:14:50The day after tomorrow. Yeah cheers
01:14:56Hmm
01:15:11Okay
01:15:14So
01:15:24So also I eat small amounts of food
01:15:28At a time. That's why I don't have pot belly. My stomach is small
01:15:33But I eat like five to seven times a day
01:15:36Okay, and that is recommended
01:15:39Why?
01:15:40If you eat too much food
01:15:42At a time like three times a day
01:15:44That's not healthy
01:15:47You may develop pot belly
01:15:50Okay, and you don't want that. It's not healthy
01:15:52So in korean word, it's called so-sik
01:15:55Okay
01:15:56Japanese are very good at eating small amount at a time multiple times over multiple occasions
01:16:01Like I eat like five to seven times a day for small amount at a time. Okay, that's healthy. Okay. Yeah
01:16:08three times a day meal, uh that
01:16:11concept is outdated
01:16:13In the school of humanology, okay, we eat more than three times but small amount amount at a time. Okay. Yeah, that's a lot healthier
01:16:22It's easier on stomach, okay
01:16:32And drink a lot of water I always carry my water bottle anywhere. Okay. Yeah
01:16:37Yeah
01:16:41And wash your hands often, of course, yeah, I will wash my hands like 10 times a day at least
01:16:48I don't use soap though. Okay. I wash my face at least five times a day. Maybe 10 times a day. Okay
01:16:54without any soap
01:16:56Okay
01:16:58When I wash my face I wash my ear neck too, okay
01:17:04Okay, all right cheers
01:17:08You
01:17:10Okay, i'm talking too much let's go let's do this
01:17:18So we have same problem, you know what I need some vocalize let's take five minutes break I'll give you more time to
01:17:23come with the
01:17:25Combined formula for this. Okay
01:17:28Here's some vocalize
01:17:30Five minutes. Thank you
01:17:33Time check
01:17:38Okay
01:17:40It's been more than one hour we have more than 30 minutes, okay good time flies when we do mathematics, huh?
01:17:47Good
01:17:49Yeah, we're enjoying this
01:17:54Like discovering something new
01:17:57First time in the human history, okay
01:18:00Ladies and gentlemen, we are witnessing
01:18:03history in the making
01:18:05In mathematics and science welcome to humanology. Yep
01:18:10Awesome. Yep
01:18:20What
01:18:35You
01:19:05You
01:19:35You
01:20:05You
01:20:35You
01:21:01Okay, welcome back we're back
01:21:05Okay, let's do this
01:21:12Okay
01:21:14All right
01:21:18Ah
01:21:20Let's get settled
01:21:23Or just
01:21:25Rain and uh
01:21:29Take off my suit
01:21:32Blazers sport coat
01:21:35With many different names, huh?
01:21:38Yeah, I I matched the necktie color and suit color okay pants color short color kind of like a
01:21:47Light blue dark blue. Okay. Yeah cheers
01:21:55Let's do this and get this done and over with okay, so
01:22:01No, I need more vodka
01:22:03I mean this is very special moment for me
01:22:07Special moment for us. Yeah
01:22:15Well, I let me switch out the bottle here
01:22:33Yeah
01:22:43We discover formula quite often, okay, so now this is our newest
01:22:48Newly discovered most recent formula that we just discovered. Okay, so
01:22:55Yeah
01:22:56and then we
01:22:59Tomorrow we'll verify it by making some examples plugging some numbers. Okay. Yeah. Cheers. Yeah
01:23:11Oh, that's good
01:23:20Now i'm ready
01:23:22So
01:23:25Why do I wash my hands very often because i'm very sensitive
01:23:30Like tactile sense touching. Okay. I want my fingers to be dry
01:23:35I don't want to be like sticky or oily, you know
01:23:39Yeah, i'm sensitive about everything like sound
01:23:42temperature
01:23:44Lighting like brightness. I'm very sensitive. Okay, so
01:23:49Because i'm very smart person. Okay, so yeah
01:23:52um
01:23:54Sound noise. Yeah, i'm very sensitive. Okay, so
01:23:58Alaska is very quiet. This neighborhood is very quiet. Okay in Wasilla
01:24:03Yeah, actually it's like uh close to big lake but uh, just right inside of Wasilla. Okay. Yeah
01:24:13Nice neighborhood. Yeah great neighbors. Yeah
01:24:18Very safe
01:24:22Okay, okay, so we have same upper limit of sigmas
01:24:27like
01:24:29Flooring flooring. Okay
01:24:32Yeah
01:24:40And let's take one half out, okay
01:24:52Yeah
01:24:55Yeah floor flooring
01:25:01Uh
01:25:04Yeah, k k plus five, okay
01:25:09So k squared plus 5k
01:25:13Here minus k squared yeah, they cancel out and the minus k okay, so uh
01:25:225k minus k. Okay. Okay
01:25:29So 4 over 2
01:25:37Okay
01:25:44How nice huh it simplifies greatly
01:25:49And minus
01:25:52n rho 2
01:25:55Serious
01:25:57Surprisingly simple, okay, so you
01:26:01Gaussian summation n times n plus 1 over 2. Okay, and then you have 2 and 2 cancel out so you have
01:26:22Yeah
01:26:28Yeah simple beautiful elegant and quite surprising
01:26:41I in the past we have some
01:26:43Big formulas that we've discovered like the tank that look like a machinery in the factory
01:26:49the tank
01:26:51Tank formula. Okay
01:26:52You have seen many of that
01:26:54I've discovered many of those but this one is very elegant simple
01:26:59Beautiful. Yeah. Cheers. Yeah
01:27:06Now how much time do we have
01:27:15We have more than 30 minutes left, okay, you know what
01:27:18We'll take five minutes break and plug in some numbers
01:27:23And then verify this
01:27:26Okay
01:27:29Uh this formula
01:27:33Is supposed to be summation of c n
01:27:40Minus 1 3 minus 2 4 summation nth summation. Okay. Yeah
01:27:48Okay
01:27:50We'll plug in some numbers and then we'll verify whether this is correct or not. Okay, so
01:27:55summation of this sequence
01:27:57Okay, minus 1 plus 3 minus 2 plus 4
01:28:01minus 3 plus 5
01:28:03Nth summation not the element of sequence itself. No summation of fourth n numbers
01:28:11Okay, let's see if this formula is correct or not
01:28:17You don't verify it. Yeah, go for it. We'll take five minutes back. Okay. Thank you
01:28:24Yeah, i'm only a little bit getting drunk just a little bit
01:28:32Because I think very slow, okay five minutes, thank you. How exciting
01:28:43Oh, yeah
01:28:46There we go, thank you we are
01:29:05Yeah
01:29:15You
01:29:45You
01:30:15You
01:30:45You
01:31:15You
01:31:35Yes, so well
01:31:37go ahead and verify if you want to okay, but let's take a break from mathematics because
01:31:43Yeah, let's talk about politics a little bit maybe religion. Okay. Yeah. Mr. Jesus said
01:31:48Yeah
01:31:49Prophets they get persecuted
01:31:52like John dark
01:31:54uh
01:31:55for example
01:31:56Yeah
01:31:57but
01:31:58As a mathematical prophet myself honky lee
01:32:02Yeah, I mean the worst
01:32:04persecution that happens to me
01:32:06is like happened to me in the past it's like uh
01:32:10Get ridiculed made fun of joked about
01:32:14You know messed up state exchange.com. It's not too bad. It's not as bad as like
01:32:18Death penalty, right? Yeah
01:32:21So people have evolved humanity has evolved. Okay
01:32:25Or in politics. Yeah, not me not getting elected
01:32:29Getting like the lowest votes or second lowest votes
01:32:34You got humiliation, but it's not as bad as
01:32:38Like dying on a cross or like in john dark's case, uh, like uh
01:32:44Death penalty by burning. Okay
01:32:47It was really bad back then. Okay, so at least i'm not getting that
01:32:55Or me getting persecuted in social media, yeah being cancelled my account blocked
01:33:02Like uh cancelled. Okay, which is not as bad as
01:33:08Death penalty
01:33:11Humanity has come a long way
01:33:14We're more civilized more evolved. Okay, so yeah, I am getting persecuted but it's not like
01:33:21Physical torture. It's more mental torture
01:33:25or
01:33:25heart feelings
01:33:27Which is not as bad as actually getting physically tortured
01:33:31you know
01:33:34That's what happened back in the days in historic like 1400s or before that it was so bad back then, okay, so
01:33:42Yeah
01:33:46These days we
01:33:47drop human as a prophet getting persecuted
01:33:51yeah, just being ignored and
01:33:53underappreciated and uh on voted for
01:33:57and and uh
01:33:58Being cancelled in social media sometimes
01:34:01Or being made fun of in mass exchange
01:34:06Or just being ignored
01:34:09Dismissed disregarded
01:34:12But that's not as bad as like getting
01:34:17Death penalty like mr. Jesus
01:34:19Socrates
01:34:20John dark
01:34:22They all got death penalty for being prophets
01:34:25Okay, so i'm not getting that
01:34:31Humanity became a lot better because evolution civilization. Okay. Yeah, just great. Yeah
01:34:43Yeah
01:34:46I'm lucky to born in this era. I was born in 1978
01:34:51Okay, uh, but
01:34:53When it comes to political persecution when a scandal happens like it happened. Yeah, January 6th
01:35:00Yeah, all the lower ranking people they went to jail like mike michael cohen for example, okay
01:35:06He went to jail and other subordinates lower ranking. Yeah, they went to jail for
01:35:12January 6 or whatever other things that trump did but top dogs like trump
01:35:20They didn't go to jail
01:35:23Yeah, they're above the law. They're untouchable too big to fail kinda
01:35:28Golden parachute trump running for re-election golden parachute. Okay, so
01:35:38The low-ranking officials
01:35:41Subordinates, uh, they become scapegoats
01:35:45Alaska it happens to uh, back in the 1990s or early 2000s or something like that
01:35:51Bribery scandal by oil company in alaska
01:35:54In alaska, uh to bribe this
01:35:59Politicians, yeah
01:36:02Yeah, there's big fbi investigation doj investigation. Okay. It was a federal case. Okay
01:36:08again top dogs like congress people in alaska or
01:36:12the
01:36:15Senators u.s. Senators in alaska didn't get
01:36:19Didn't go to jail
01:36:21But lower level like a state
01:36:24level
01:36:25Senator state senators state like congress people the state
01:36:30Legislators some of them did go to jail. Okay. He's a scapegoat
01:36:34Okay. Yeah, i'm very sorry about it. Okay
01:36:39Yeah
01:36:41Yeah
01:36:47So my advice
01:36:49When you get up there don't do anything illegal, okay
01:36:57My advice regarding trump
01:36:59Stay as far away from him as possible
01:37:02Okay, because a lot of trump's subordinates went to jail because trump he does illegal things
01:37:10And when it's discovered he does not go to jail his subordinates his employees go to jail
01:37:16Okay
01:37:18Okay, it's like scapegoating because prosecutors they work so hard
01:37:24They want to see somebody going to jail and so forth. It's copium transfer. Okay, they want to get something back
01:37:32From their hard work prosecutors
01:37:35Yeah, these three attorneys
01:37:36Doj fbi. Okay, so they are determined to send somebody to jail
01:37:43You know big scandal, okay
01:37:45But uh higher ranking people, yeah, it's very difficult to send them to jail too big to fail. Okay
01:37:52and so yeah, they choose this
01:37:54underdogs like
01:37:55Low-ranking subordinates like michael michael corn, for example, okay
01:38:00They send them to jail. Okay, so
01:38:02Okay
01:38:05All right, yeah
01:38:11That's a relative thing but it will get better
01:38:14In the future, okay, look they try to uh
01:38:17They did come back trump
01:38:20That was a trump. Okay, but he has he nominated three supreme court justices. So
01:38:26Now he has like immunity
01:38:29From all the wrongdoing he did
01:38:33Because he had three justices appointed by him in u.s supreme court
01:38:40So
01:38:42So they owe him a favor now they are returning it yeah presidential immunity they extended that
01:38:50okay, that's
01:38:52Political reality today in america. Okay, but it will change. Okay, so
01:38:57Yeah, it'll get better because it's a great step that uh, he had this criminal trial
01:39:04As a former president, okay, and he lost
01:39:08He is convicted by jurors
01:39:14So at least we have that okay, but uh, so u.s supreme court, I disagree with that decision, okay
01:39:20presidential official act immunity
01:39:23Uh, I think that's baloney
01:39:26It is politically motivated. They want to return the favor to trump who gave them their supreme court job. Okay
01:39:33It is corrupt
01:39:37Politics in today's america, okay, but it will get better
01:39:42Okay, yeah evolution, okay, but yeah it happens slowly, okay
01:39:53Now I talk too much, okay, so you take finance very very
01:39:57If you want to verify the formula by plugging numbers go for it
01:40:01Uh
01:40:04Less than 10 minutes left. Okay. Yeah fine is very okay. Thank you
01:40:10Yeah, we do a lot of mathematics so we are taking a break from mathematics again, okay, so
01:40:15We got the formula, but if there's some error there we'll fix it
01:40:20No problem. Okay. Fine is right. Thank you
01:40:23You see I know how to take a rest
01:40:26Okay
01:40:30Okay, thank you five minutes
01:40:55You
01:41:25You
01:41:55You
01:42:25You
01:42:55You
01:43:25You
01:43:55You
01:44:17Okay, so we found a problem in politics, huh
01:44:21Also judicial system yeah compared to mathematics yeah problems in politics so easy to solve okay, so
01:44:29Okay, so we have three u.s. Supreme court justices appointed by trump. So
01:44:35Uh, they owe him a favor. So now they are protecting him returning the favor. Yeah, there's a big problem
01:44:43Because judicial system is supposed to be politically neutral, but it's not
01:44:48Okay, so yeah, let's come with solution to that problem, okay
01:44:53You want to stop it? Yeah, I give you two minutes. Okay
01:44:57Sure
01:45:01Hey mathematicians, we can continue this tomorrow because we got the formula we just need to verify if there's an error
01:45:08We just fix it. Okay, that's easy difficult part is done. So that's why we are just
01:45:14Talk about something else. Okay, so
01:45:17Yeah
01:45:22How would you make u.s. Supreme court, uh to be independent of politics like it's supposed to be
01:45:34Any solutions
01:45:43I got one
01:45:45This is political problem you solve okay. Yeah cheers
01:45:51Using logic rhythm, okay. Yeah rationality, you know common sense cheers
01:46:04More time sure. Where's my chaga vodka?
01:46:15Oh
01:46:19Oh there it is
01:46:36It looks almost like coffee dark coffee
01:46:46You
01:46:51So, yeah, well cheers, yep
01:47:00It kind of tastes like coffee too actually
01:47:06Little bit
01:47:09Okay
01:47:12Uh
01:47:15So
01:47:18One possibility is this okay, how about election like uh, the people vote for u.s. Supreme court justice
01:47:25Because some states yeah state level supreme court justice
01:47:30some sometimes it's not or like
01:47:33Lower level judges sometimes some states in america. They they are they hold election for that
01:47:40even prosecutors
01:47:42State level or federal level. Okay. Sometimes it's appointment based appointed by governor
01:47:48Okay, so depending on the state some other states. Yeah is they hold the election
01:47:53to uh
01:47:54Vote for this prosecutor judge justice
01:47:58Okay. Yeah, it depends on states. Okay
01:48:02So
01:48:03we saw we witnessed that uh this
01:48:06President appointment of u.s. Supreme court justice is now working
01:48:12They've become too politically biased
01:48:15Okay, they want to return the favor
01:48:18Okay, uh, so it's we saw the sort of failure of that
01:48:24Methodology so let's try something different. How about
01:48:29election of u.s. Supreme court justices like people's choice. Yeah
01:48:35I think they will work better
01:48:37Okay
01:48:41Because then they don't owe any favor to president
01:48:44Who would have appointed them?
01:48:47Okay. Yeah simple solution right now. How much time do I have?
01:48:55Well, we have like 10 minutes left, okay, yeah sure let's go for this, okay
01:49:01Couple of examples, okay
01:49:08When n is one
01:49:13Yeah summation
01:49:16of c
01:49:18one, okay
01:49:20which is uh
01:49:22Minus one
01:49:24Now let's plug in the numbers into our brand new found formula
01:49:33Yeah, minus one works, okay
01:49:38So
01:49:42Yeah, this shorthand for like sigma
01:49:47K from one to two
01:49:51Ck, okay, so
01:49:54Uh, there's supposed to be two
01:49:59Now plug in the number two to our brand new formula
01:50:08You
01:50:15Yeah, one plus one two, yeah now third one
01:50:27Another notarial combination we are good at this because
01:50:30We are good at linguistics like foreign languages. Okay symbols, okay
01:50:34Okay
01:50:36Same analogy is the study of symbols. Okay. Yeah, very good. We appreciate that. Okay the umberto echo and
01:50:42his colleagues
01:50:46Okay, uh, it's supposed to be zero okay minus one plus three minus two is supposed to be zero now does our formula work
01:50:55Yeah, so plug in number three
01:51:04You
01:51:13Uh
01:51:23Hey, it looks like it didn't work, okay
01:51:28Uh
01:51:31One one plus two
01:51:39Uh one plus one, uh two
01:52:01You
01:52:05Yeah, it didn't work it did not work, okay, so
01:52:12Uh, there's error somewhere
01:52:25I am disappointed. Yeah mathematics and like anything has a roller coaster ride ups and downs
01:52:31uh
01:52:34But we'll fix it tomorrow or after when this uh zoom software is digitizing, okay
01:52:43Uh, yeah, I work on this, okay
01:52:47Digitization takes like 10 minutes sometimes, okay, so
01:52:51Which may be enough time for me
01:52:54We have like five minutes more than five minutes left
01:52:56Do you see any error somewhere
01:53:27You
01:53:38Well, uh when n is two
01:53:45Okay, let's recalculate when n is one
01:53:47One
01:53:55It worked when n is two
01:54:03Two one zero, okay worked when it is three
01:54:15It didn't work
01:54:18Aye, aye, aye
01:54:23No sound well
01:54:30Time is ticking we are like three minutes
01:54:32So
01:54:44But I think about it later, okay, but yesterday the instagram live, okay. Yeah
01:54:50uh
01:54:52Our friends some of our friends asked me. Do you like jimi hendrix? Yeah, I like his music but uh
01:54:58He's african-american very handsome, okay, but he only dated young beautiful young white ladies, okay, so I
01:55:07Did not like that, okay, I mean one person of time. Yeah mixed marriage when they're young. Okay. Yeah
01:55:14That's fine. Okay. It's also good for the race because
01:55:19If race is too pure, it's like a incest. Okay, so
01:55:22Genital illness, okay, like cancer for example, okay, so one person time. Yeah, it's healthy for the race
01:55:28I expressed this opinion many times with broker. So well 99 percent time if they're young enough to have children
01:55:34Yeah, like hand marriage. Okay, same as marriage. Okay
01:55:38But hey mixed race people mixed race people. They're beautiful. They're mysterious
01:55:45And they're very beautiful. Yeah
01:55:47exotic and
01:55:49mixed race people
01:55:50They're magical and very beautiful and highly highly intelligent people
01:55:56Okay
01:55:57so
01:55:58Yeah, it's complex matter like
01:56:01In human as a anti-ultrasonic
01:56:04With one person exception. Okay, how about young people getting married? Yeah five percent session
01:56:09Okay, because i've seen quite a few people who got married under 25 and they became successful family
01:56:17without any divorce
01:56:21Okay, but even you're after 25, okay, uh
01:56:29Marriage success is not guaranteed. Okay, you need to have a good job
01:56:34raising children
01:56:36Raising a family you take a lot of money
01:56:38Okay
01:56:40And sometimes you need to go back to school
01:56:42Okay, and to get more education training and get higher paying job. Okay
01:56:48Okay, that's what i'm saying, okay, so, uh
01:56:52Mixed races. They're beautiful. I've seen them. Okay. Some of the most beautiful people i've ever seen is mixed races. Okay
01:56:58Well, I don't know. I'm 46. I I've been around
01:57:03Okay
01:57:04they're cool
01:57:05very beautiful and
01:57:07Some of my best friends are mixed races. Okay. Yeah, I know how beautiful and
01:57:13Smart they are. Okay
01:57:16They're amazing, okay
01:57:19Now how many ways to have
01:57:27Yeah, some of those questions are
01:57:31Difficult. I mean, yeah, not too difficult, but it requires longer answer. Okay, so
01:57:38Because there's a lot to it
01:57:401% exception 5% exception. Okay rationale reason behind it those rules human rules, okay
01:57:50Okay, right, uh, we'll see you tomorrow, okay. Yeah when
01:57:57Zoom software decides this for like 10-15 minutes. Yeah, I'll try to find the error here. Okay
01:58:03Maybe one or two errors. I don't know
01:58:06See you tomorrow. Okay. Thank you. Yeah. God bless you. God bless you and love my jars focus on education and career development
01:58:12Okay. Thank you. Yeah be successful. I know you will yeah
01:58:17You're amazing. I'm your normal friend