humanology 2053

  • 3 months ago
Transcript
00:00:00Hello friends, welcome to Humanize in 2053.
00:00:07Let's start with...
00:00:08Physical therapy for my right shoulder, okay, yeah, it's healing, yeah, good, nice,
00:00:38okay, now, martial arts, let's do tiger style, okay, oh, oh, yeah, okay, five minutes break
00:01:02please, thank you, oh, oh, that's two, yeah, I did not fall, okay, five minutes, thank
00:01:17you, thank you, thank you, thank you, thank you, thank you, thank you, thank you, thank
00:01:45you, thank you, thank you, thank you, thank you, thank you, thank you, thank you, thank
00:02:13you, thank you, thank you, thank you, thank you, thank you, thank you, thank you, thank
00:02:41you, thank you, thank you, thank you, thank you, thank you, thank you, thank you, thank
00:03:10you, thank you, thank you, thank you, thank you, thank you, thank you, thank you, thank
00:03:38you, thank you, thank you, thank you, thank you, thank you, thank you, thank you, thank
00:04:06you, thank you, thank you, thank you, thank you, thank you, thank you, thank you, thank
00:04:34you, thank you, thank you, thank you, thank you, thank you, thank you, thank you, thank
00:05:02you.
00:05:03So, how to solve a quadratic sequence, okay, how to come with the coefficients for polynomials.
00:05:15So, let me share that with you, okay, let's grab a new whiteboard, I guess.
00:05:29Well, let's use this one, we have some space here, oh, yeah, okay, oh, oh,
00:05:59good evening.
00:06:03So, yeah, there are several ways to calculate this thing, okay, so, fourth way using kind
00:06:13of like calculus, okay, second way, the system of equations with three variables, okay, yeah,
00:06:28it's nice to review, okay, okay, oh, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah,
00:06:56yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah,
00:07:25yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah,
00:07:53yeah.
00:08:11Difference 1,2,3,4,5,6,7.
00:08:20Difference 1, 1, 1, 1, 1, 1 and then 0, 0, 0, 0, 0, and from here on it's always 0, okay?
00:08:34Okay? Yeah.
00:08:37Well, let's make triangle, sure.
00:08:42Okay?
00:08:45Now, so we are looking for A, A n, okay, polynomial, second degree, okay, so A n is equal to, well,
00:09:09A 1 is, okay, it's like this, okay?
00:09:13From n squared, but coefficient has to be 1, okay, okay, it's like A n, this is different
00:09:31A's, okay, A n squared plus B n plus C, okay?
00:09:36Now, for A 1 is 1, okay?
00:09:51So, A should be 1.
00:10:06I kind of forgot what I did.
00:10:12Let me take this off, okay?
00:10:14It's hot.
00:10:21The way they did was, they kind of compared, so you have 1, 2, 4, 7, 11, 16, 22, 29, right?
00:10:48They compared this with just n squared, okay?
00:10:501, 4, 9, 16, 25, 36, 49, 64, okay?
00:11:09Yeah, this is n squared, okay?
00:11:11Now, subtraction.
00:11:18Minus 0, minus 2, minus 5, and minus 9, minus 14, minus 20, minus 27, minus 35.
00:11:47Okay?
00:12:17And, okay, now we have 2, 3, 4, 5, 7, and 8.
00:12:27The difference between the two subsets adjusts the numbers, okay?
00:12:33Now, let me pour some vodka.
00:12:35I'm still shaky about this.
00:13:05Cheers.
00:13:07Happy Wednesday.
00:13:09Well, let me grab a new vodka.
00:13:31Okay.
00:13:33Okay.
00:13:37I'm super excited about this, okay?
00:13:39I mean, we found a relationship between polynomials and Bezier coefficients, right?
00:13:45Wow.
00:13:47Unexpected term.
00:13:51I don't think anybody knows about this, okay?
00:13:55Most likely it's brand new.
00:13:57But who knows?
00:13:59Somebody would have found it, I don't know.
00:14:05Okay.
00:14:07Cheers.
00:14:15Oh.
00:14:17Oh.
00:14:47Oh.
00:15:13Okay.
00:15:16Bn, okay, so
00:15:20Bn
00:15:30Here, yeah, okay.
00:15:32Cn is equal to
00:15:34n plus 1.
00:15:38Right?
00:15:46And
00:16:02Oh, it's tough.
00:16:16Let's take it easy.
00:16:20Bn plus 1 is equal to
00:16:22is equal to.
00:17:22Okay.
00:17:23B n is equal to, okay, you know, summation of, summation of sequence, right?
00:17:48Okay, so, it's like this, B n is equal to, okay, B n is equal to, okay, B n is equal
00:18:05to ...
00:18:33when n is 1, yeah, 0, when n is 2, yeah, when n is 3, yeah, works, okay, this is the formula,
00:18:52okay?
00:18:53Right.
00:18:54Okay.
00:18:55Ah, this is tough, ugh.
00:19:14So then A n is equal to n squared minus B n.
00:19:44Okay.
00:19:58So, A n is equal to, okay, let's plug in number, when n is 1, yeah, works, when n is 2, works,
00:20:27works, when n is 3, works, when n is 4, works, okay, we got it, okay, yeah, wow, phew, okay,
00:20:56let's take 5 minutes break, okay, yeah, cheers, okay, we got it, it was not easy, not to me,
00:21:22okay, 5 minutes, thank you, yeah, what, we got it, there we go, okay.
00:21:52Okay, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah,
00:22:18yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah
00:22:48yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah
00:23:18yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah
00:23:48yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah, yeah
00:24:18okay wow yeah let's grab a new iPod yep
00:24:48Oh
00:24:56Oh
00:25:00Okay
00:25:03Just outside
00:25:11With back
00:25:15It's going up
00:25:19You raise
00:25:28Wow
00:25:31This is basic right the Russell you don't need to keep this
00:25:40Yeah
00:25:48You
00:25:51What doesn't it
00:25:59Now
00:26:01But that's an artificial example easier problem, okay, so now our main problem from like gamma
00:26:095 5 being smaller number, okay, so
00:26:14Yeah, let's go call it characters listed polynomial, okay
00:26:18Cheers
00:26:29We're gonna call you gamma polynomial, okay, so
00:26:48You
00:27:14Okay, I'm gonna copy it down
00:27:17The original problem I'm I'm excited
00:27:29You
00:27:40You
00:27:46You
00:28:16You
00:28:46You
00:28:50Okay
00:28:54A.m. B.m. C.m. Okay now C.m. Is equal to
00:29:06It's alternating sequence, okay, so
00:29:10You
00:29:15And plus 2
00:29:20Minus 1 to the nth, okay
00:29:32Yes
00:29:40You
00:29:56And the n is equal to
00:30:10Well
00:30:23One two three, let's do this. Okay. What b3 is equal to 2 plus
00:30:32Minus 3 plus 4, okay, which is
00:30:41Um
00:30:48B1 plus
00:30:54Sigma
00:30:57K from 1 to 2 of C.m. Okay
00:31:01You
00:31:08Then B.m. Is equal to 2 plus
00:31:14Sigma
00:31:17K from 1 to n minus 1 of C.m. Okay
00:31:25Uh
00:31:31You
00:31:43Cheers
00:31:50Let's look at alternating sequence summation, okay, so
00:31:55Uh
00:31:591 plus 2 plus blah blah blah plus n is equal to n n plus 1
00:32:07Over 2, right
00:32:11Yeah
00:32:14Now 1 minus 2 plus 3
00:32:19Minus 4
00:32:22Plus 5 minus 6
00:32:28Is equal to
00:32:32Minus 1 minus 1 minus 1 so minus 1 times 3
00:32:41Okay
00:32:51You
00:32:58It is tricky
00:33:21You
00:33:41But problem arises when we have odd number of those
00:33:52You
00:34:01We're to find general formula for this, okay
00:34:07Yeah, cheers
00:34:21You
00:34:31You
00:34:51You
00:35:13It's like this
00:35:15Let's write it in reverse. It's kind of Gauss Gaussian
00:35:19Method, okay. Yeah Gauss. I don't hate him. Okay, he's fine
00:35:32Okay
00:35:35If we add them up, okay, then
00:35:41Two times
00:35:44S7 is equal to 8 minus 8 plus 8 minus 8 plus 8
00:35:55Minus 8 plus 8. Okay, so yeah this things become
00:36:09Zero okay
00:36:14You okay
00:36:30Let's generalize this okay 1 minus 2 plus 3
00:36:38Dot dot dot
00:36:41Plus n
00:36:59You
00:37:10You
00:37:33You
00:37:41You
00:37:51Dot dot dot
00:37:53You
00:38:06It's a case like this, okay
00:38:16You
00:38:23You
00:38:28If that's the case
00:38:50Okay
00:38:53All right
00:39:07But when this ends with minus n
00:39:23You
00:39:53You
00:40:10And then together
00:40:23You
00:40:53You
00:41:02Yeah, it's not as nice, okay, okay, yeah, that's fine this fun
00:41:10That in this case is easier to do this, okay. Yeah tn is equal to
00:41:20Minus one times
00:41:23You
00:41:27And what to
00:41:32So we have two different totally different formulas
00:41:39That's an equal situation
00:41:46It's quite challenging a problem, okay, but not too difficult though, right? Yeah
00:41:53Cheers yeah
00:42:03Mm-hmm
00:42:17Yeah
00:42:19You
00:42:21How interesting it's elementary
00:42:24Is this a high school mathematics?
00:42:26but I
00:42:28Have never seen this kind of problem in high school or college or any anywhere any time
00:42:36We have alternating sequence
00:42:40Okay
00:42:42You
00:42:47I mean maybe I've seen something like this before but
00:42:59You
00:43:12You
00:43:14You
00:43:16You
00:43:42When n is an odd number
00:43:45Then this when n is even number then this
00:43:50These two formulas cannot be combined
00:43:53the two totally different
00:43:55Formulas one of them positive number the other one negative number
00:44:02These two formula cannot be combined unless we use Iverson bracket
00:44:10Okay, which is an if then else statement in computer programming, okay
00:44:15You
00:44:19Sure, let's use Iverson bracket
00:44:25Well, okay
00:44:27Use row algebra and Iverson bracket. Okay, you don't know what that is. Iverson
00:44:34IVERSON
00:44:37Iverson bracket. There's Wikipedia article about it. Okay row algebra
00:44:41I
00:44:43Only we know about it. There's nothing in the web
00:44:48Okay
00:44:49Because I am not published about row algebra yet
00:44:54Okay, I will after we're done with this
00:44:57Whole thing. Okay, which may take several months
00:45:03But
00:45:05We talked about row algebra many times before so, you know what it is by now, okay
00:45:09Yeah
00:45:11Yeah, so combine these two formulas using row algebra and Iverson bracket. Okay, if you want to
00:45:16Okay. Yeah, let's take five minutes break. Okay
00:45:20Good
00:45:23Amazing good progress
00:45:25You
00:45:38All right, five minutes, thank you nice
00:45:56Oh
00:46:02Yeah
00:46:25You
00:46:55You
00:47:25You
00:47:55You
00:48:25You
00:48:55You
00:49:25You
00:49:55You
00:50:25You
00:50:55You
00:51:25You
00:51:55You
00:52:25You
00:52:55You
00:53:25You
00:53:55You
00:54:10Okay, welcome everybody
00:54:13All right
00:54:15So Iverson bracket is like
00:54:19the if-then-else statement in computer programming, okay, so
00:54:23Yeah, it was popularized by
00:54:28Professor Donald Knuth of Stanford University in the computer science department. Okay, so I have his books. Yeah, he's cool
00:54:35He's also a mathematician as well. Okay. Yeah, and a
00:54:39Good one. Yeah
00:54:42He's more like more more like
00:54:45A
00:54:48Kind of librarian of
00:54:51mathematics
00:54:52archivist of mathematics, okay, but because he doesn't well he did contribute to
00:54:58mathematics on his own but
00:55:04In terms of like original theory and not very much, okay, so it's more like an educator in mathematics, okay, so
00:55:13But he's a computer scientist by profession, okay. Yeah Cheers
00:55:22Mm-hmm
00:55:26So
00:55:31When n is even number, okay
00:55:33You
00:55:39Then this this is n is even number meaning n
00:55:43row 2 is
00:55:46equal to 0
00:55:49Okay
00:55:50This formula is when n is an odd number
00:55:54so n row 2
00:55:57Is equal to 1, okay
00:56:00so
00:56:03You
00:56:08Uniting this to okay. Let's call you your van. Okay, I
00:56:19Wasn't bracket if n row 2
00:56:27If this is true, there is any odd number, okay, then use this I
00:56:33Wasn't bracket when it's if Boolean expression is true
00:56:35Then it's one if Boolean expression inside of Iversen bracket is false, then it's zero. That's the definition of Iversen bracket. Okay
00:56:44Okay
00:56:52Plus
00:56:59When n is an even number
00:57:03Yeah, n divided by 2 was the remainder, okay, yeah, that's what row algebra is
00:57:09Then
00:57:13Minus n over 2, okay
00:57:16Yeah
00:57:22Cheers
00:57:29And I think we can get rid of Iversen bracket
00:57:33Okay
00:57:35Yeah
00:57:55Let's think about this
00:57:57You
00:58:02Well, let me forget my eyes
00:58:11You
00:58:28You
00:58:41Let me get rid of the Iversen bracket somehow it briefly occurred to me when I was in doing cigarette break, okay, so
00:58:51Cheers
00:58:58Yeah
00:59:18Ah
00:59:27You
00:59:57You
01:00:20Hmm
01:00:22You
01:00:27It's like Brianna zebra right zero one
01:00:30one true zero false
01:00:33It I switch on and off. Yeah, Brianna. They were very useful in
01:00:38Electronics because like electricity you turn it on turn it off
01:00:43Binary numbers. Okay, so
01:00:46She's foundational computers
01:00:49Yeah, resist or resist the like
01:00:55Not resistors, but
01:00:59What's it called like semiconductor transistor, right it's a switch like it represents zero or one
01:01:06Okay, kind of in the hardware computer. Okay
01:01:14Electrical engineers if they have to learn to learn algebra
01:01:18So do couple of scientists. Okay. Yeah
01:01:26Okay
01:01:31You
01:01:48You
01:02:03How can we get rid of the Iversen bracket here
01:02:11It's a puzzle
01:02:13You
01:02:18Interesting one
01:02:23Wow
01:02:35Yeah
01:02:37You
01:02:42This world need to be changed we test to our gal like algae
01:02:58You
01:03:07You
01:03:09Let's do some trial and error
01:03:14If we just say
01:03:26Okay
01:03:28If n is odd number
01:03:32Yeah and row to one
01:03:34Yeah
01:03:35Yeah, so one times this. Yeah, cool
01:03:40When n is even number n
01:03:42row to
01:03:43zero
01:03:44Okay, so it's just multiplying n row 2
01:03:48It's same as Iversen bracket like n row 2 is equal to 1 and it's simpler. Okay, so yeah, it works here
01:03:56How about here?
01:03:59You
01:04:01We have to flip the switch when n row 2 is 0
01:04:08Then it's up we need to multiply 1
01:04:14Okay
01:04:17When n row 2 is 1 we need to make it into 0
01:04:24Yeah, some logical operator
01:04:28Flip
01:04:29Okay
01:04:33But
01:04:34That's like Boolean algebra and computer science. Okay, it's not a traditional mathematics. Okay, that's fine
01:04:42Okay
01:04:50Yeah, so we are mapping 1 to 0 and 0 to 1
01:04:59Can we do this in algebra traditional algebra
01:05:05Maybe we can
01:05:11Yeah, I'll go find a function such that
01:05:17f of 1 is 0
01:05:20And f of 0 is 1
01:05:23You is it possible in traditional mathematics, let's think about that, okay
01:05:45If you can come up with this in five minutes go for it, okay, if not
01:05:51Let's think about this. It's like playing a video game. Okay. It's a puzzle. Nice. We're having a lot of fun here. Okay
01:05:58Yeah, five minutes try. Okay. Thank you
01:06:00How interesting huh? Welcome to Humanology. Yeah. Oh
01:06:06Yeah
01:06:08Five minutes, thank you
01:06:20You
01:06:50You
01:07:20You
01:07:50You
01:08:20You
01:08:50You
01:09:20You
01:09:26You
01:09:38You
01:09:51You
01:09:59You
01:10:07You
01:10:09You
01:10:19Okay
01:10:27So
01:10:28Well Boolean algebra, okay, that has to do with set theory
01:10:34You know George Boole
01:10:37He's like British mathematician and
01:10:42Yeah, it has to do with set theory, okay, like binary numbers Boolean algebra, okay
01:10:47Very important in computer science and electrical engineering. Okay
01:10:51It's like bitwise operator. Okay, flipping the bit like 0 becomes 1, 1 becomes 0. Yeah
01:10:58We have that, okay
01:11:01Traditional mathematics, yeah, well computer science is electronics. That's very modern. Okay, so
01:11:10okay, so
01:11:14I don't think we can
01:11:18Express the bit flipping operation
01:11:22in traditional mathematics
01:11:24Although it's extremely simple because 1 becomes 0. There's a 1 minus 1 right here
01:11:300 becomes 1
01:11:320 plus 1. You have minus 1 here and plus 1 here. Yeah, that's like opposite
01:11:41Okay
01:11:45So we're gonna have to introduce a more modern
01:11:49Yeah, like bitwise operator in computer science electronics, electrical engineering. Okay, so
01:12:00Ah, okay
01:12:03Yeah, it's bit flipping operator. 0 becomes 1, 1 becomes 0. Okay.
01:12:10I cannot think of any other ways
01:12:13If you can, go for it. Okay
01:12:17But as for me, yeah, we gotta move on. Okay. So yeah, we just call it bar bitwise operator, okay
01:12:25Yeah, just flip the switch, yeah. Is it on? Yeah, turn it off
01:12:30If it's off, turn it on
01:12:32Yeah
01:12:35I cannot think of anything else
01:12:50And logarithm exponentiation, I thought about that but I don't think it will work here. Okay, so
01:13:00Yeah
01:13:05Yeah, now time check real quick. Yeah, time flies when we do something, right? Yeah
01:13:16It's been more than one hour already
01:13:22Yeah
01:13:24We start around 6, just before 6, okay
01:13:29We have more than 30 minutes left still, okay
01:13:36Yeah, more than 30 minutes left
01:13:41Okay, good to know
01:13:47Yeah
01:13:50Mm-hmm
01:13:59You
01:14:06So, okay using this
01:14:09flip operator
01:14:11Okay in electronics, computer science. Yeah, 0 becomes 1, 1 becomes 0, okay
01:14:17Yeah, there's like bitwise operator for that. In computer programming languages, they have this operator. Okay. Yeah
01:14:24So
01:14:26What's it called? I forgot
01:14:29It's been a long time, okay
01:14:31Okay
01:14:33But this operator exists in a couple of programming languages. Okay. Yeah
01:14:37Yep
01:14:42You know what? Yeah, let's go to ShareScreen. Internet. We haven't done that in a long time, huh?
01:14:54Mm-hmm
01:15:03Bit flipping operator
01:15:25Not. Yeah, negation. Okay
01:15:36Let's look at the notational convention, okay
01:15:51Once complement, sure
01:15:54You
01:16:21Okay, well
01:16:25You
01:16:48C program, sure
01:16:55You
01:17:05Oh, bitwise complement, yes, tilde, okay
01:17:10Hmm
01:17:12You
01:17:19Yeah, C programming language is kind of hardware oriented, okay
01:17:23It's halfway between like higher level and low level. Low level means like machine language, okay
01:17:30This is very important for like computer engineers, okay
01:17:34who like program like
01:17:37computer chips like CPU, okay, so
01:17:39Yeah
01:17:41Okay, so it's tilde. Okay. Okay. Very cool
01:17:51Yeah, bit flip operator in C++
01:18:09You
01:18:18Okay
01:18:28Yeah, people in a program languages
01:18:39You
01:18:53Yeah, logical not operator, sure
01:19:09You
01:19:23Good enough. Okay, so in C
01:19:27Language. Yeah, it's tilde. Good enough. Okay, so but we just
01:19:32Go with bar. Okay. Yeah
01:19:34You
01:19:38Yeah
01:19:42Okay, good. Case settled, okay
01:19:50Hey, we have this development in computer science, let's use it in mathematics, okay
01:19:57Mathematicians, they use computer programming all the time. Okay. Yeah, most of them. Okay, so
01:20:04Yeah, so this is a very good tool. We have a modern tool. Let's use it
01:20:12Okay
01:20:14Can we express this bit flipping using traditional
01:20:18mathematics
01:20:20Maybe it's possible, but I don't know how to do that
01:20:23I don't think it's... I do not think it will be very easy. Okay
01:20:28One becomes zero, zero becomes one. Yeah, if it's one, yeah, then minus one. If it's zero, then plus one
01:20:35Okay, it's going to opposite direction
01:20:38Depending on the inputs. Okay, it's very
01:20:41simple
01:20:43But to express with traditional mathematics
01:20:47I don't think it will be very easy a task.
01:20:52I cannot think of one, okay
01:20:55Right
01:20:58You
01:21:02Yeah
01:21:14Yeah
01:21:29So we have a long way to go still, okay, we are having fun, that's what matters, okay, so
01:21:35My inclination, yeah, we did enough for today
01:21:39Well, looks like a deadline, but it's like past 7 p.m
01:21:45Alaska summer is like this, broad deadline, okay, midnight sun
01:21:49concept
01:21:51Yeah
01:21:54And I'm kind of drunk
01:21:56So let's wrap it up for tonight, okay, and then what I'm gonna do
01:22:05Now there's a new tradition, right?
01:22:07Yeah, I stopped this episode and then let Zoom Software digitize this
01:22:14They'll start uploading to Denimotion
01:22:17After that, yeah, we'll do like
01:22:21Episode like point one, okay
01:22:24Yeah, Instagram Live, yeah, sure, okay
01:22:28Instagram Live is a very educational program, okay, we are learning from each other
01:22:34People from all around the world, okay
01:22:36Okay, yeah
01:22:38Okay, maybe I'll see you in 10 minutes
01:22:40Okay. Yeah. Thank you
01:22:42Very cool, right? Yeah, this is nice
01:22:46Very cool