mathematics and linguistics
Category
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LearningTranscript
00:00Hello friends, welcome to Humanology 2226. Happy Tuesday.
00:07Yeah, I think my computer is doing some regular scheduled virus scan.
00:12That's why the fan is running on the CPU.
00:15Yeah, we'll just let it run.
00:17So there will be some background noise there.
00:20CPU fan.
00:22Okay, today is Tuesday.
00:25Yeah, I'm taking a break from carpentry because I did a lot.
00:30I mean, carpentries are like mathematics to me.
00:32It's a hobby when I do that only when I want to, okay?
00:36Otherwise, I just take a break.
00:39Unless it's something emergency, okay?
00:42Yeah, just like mathematics, I do carpentry only when I want to.
00:45It's a hobby, okay?
00:47Okay.
00:49Let's take...
00:52I mean, let's...
00:55Do some stretching.
00:58Okay.
01:02Yeah, after work, I watched that movie.
01:05Uh...
01:06Puppet Masters.
01:07That's like year 1992 or something.
01:10Maybe 1993.
01:11Oh, it was nice, yeah.
01:13It was in Daily Mo-
01:15Ah, was it?
01:16It was in YouTube, okay?
01:17Yeah, it was nice.
01:19And after that, I watched another movie.
01:22This time in Daily Motion.
01:24Shattered.
01:25It's about amnesia, okay?
01:27Yeah, that's nice.
01:28Yeah.
01:31Okay, yeah.
01:32Good movies.
01:35Uh...
01:36Shattered, probably it's 1991, something like that, okay?
01:40Yeah.
01:41Yeah, I like 90s movies.
01:42Yeah.
01:45Yeah.
01:46ugh.
01:53Ugh.
01:57Ugh.
01:58Oh.
02:00Haa...
02:01Yeah.
02:06Hmm.
02:08Mm.
02:09Youth.
02:10You.
02:11You.
02:12You.
02:13You.
02:14You.
02:15Okay.
02:45Ah, ah, ah, ah.
03:14Okay.
03:21Okay.
03:44Okay, there's your exercise.
04:14Okay.
04:44I exercise?
05:14Okay, now let's do side backswing kick.
05:26Okay?
05:36Okay?
05:37Yeah.
05:38So basically, side kick or side swing kick, under your stepping foot, you open it like that.
05:47Okay?
05:48As you do.
05:49Under your stepping foot, open it outward.
05:52Okay.
05:53Okay.
05:54Okay.
05:55Good.
05:56Five minutes.
05:59Okay.
06:00Okay.
06:01Okay.
06:02Okay.
06:03Okay.
06:04Okay.
06:08Okay.
06:09Okay.
06:15Okay.
06:17Okay.
06:18Okay.
10:19Okay, let me take a look at task manager of this computer.
10:24Oh, probably the antiviral scan.
10:26Yeah.
10:27Yeah.
10:28Yeah.
10:30Yeah.
10:32Yeah.
10:34I think that's what's running.
10:37Yeah.
10:47Yeah.
10:48Yeah.
10:49I think that's what's running.
10:50I think that's what's running.
10:56Okay.
10:57You're very wrong.
10:58Yeah.
10:59Okay, so let's get back to mathematics.
11:04Let's do mathematics.
11:05You take your breath from carpentry, so let's do mathematics.
11:11Co-primes.
11:12Co-prime pairs.
11:14Yeah.
11:21Yeah.
11:22Yeah.
11:23Yeah.
11:24Yeah.
11:25Okay, cheers.
11:45So what we are looking for is enumeration of all the coplan pairs, okay?
11:55It's an infinite set, okay?
11:59That's what far-right sequence is about.
12:02But we're going to do it in a different way to enumerate all the coplan pairs.
12:13We'll start with zero, okay?
12:17We're dealing with only non-negative integers, okay?
12:20So the one and only number that is coprime with zero is one, okay?
12:30All the other numbers, they are non-coprime with zero,
12:37due to their common factors, and it's two of them, okay?
12:41Two, for example?
12:45Factors of two, one and two, multiplicative factors, okay?
12:49And both one and two are factors of zero, yeah.
12:54One is zero times one, and zero is zero times one, and zero is also zero times two.
13:02So both one and two are factors of zero.
13:06Multiplicative factors, okay?
13:08Yeah.
13:09And so on.
13:10Okay.
13:11Four?
13:12Factors of four?
13:13One, two, and four.
13:14We share all factors of zero.
13:15Okay.
13:16Okay.
13:17Okay.
13:18Okay.
13:19So whatever this number may be, six or eight, whatever, it has this set of factors, right?
13:37And they are all subset of factors of zero, because factors of zero is all non-negative integers.
13:46Okay.
13:47Okay.
13:48Okay.
13:49Okay.
13:50Okay.
13:51Okay.
13:52Okay.
13:53Now, what numbers are co-prime with one?
13:56Uh, that's all non-negative integers.
14:08Okay.
14:09Okay.
14:10Okay.
14:11Factors of one, it's just one, right?
14:13And all the other non-negative integers, they are a factor of one.
14:20Okay.
14:21So one is co-prime with all other non-negative integers.
14:26Okay.
14:27How about two?
14:29Uh, all the odd numbers are co-prime with two.
14:43Okay.
14:44Yeah.
14:45How about three?
14:58Well, we want to be non-redundant in this enumeration.
15:03Okay.
15:04So we will look at only the number and other numbers that are higher than that number.
15:11Okay.
15:12So that this enumeration will be non-redundant.
15:16Okay.
15:17Three and three, they are not co-primes.
15:21Okay.
15:22But three and four, they are co-primes.
15:25Okay.
15:28All the numbers, when it comes to three, all the numbers, there are not multiples of three.
15:40We are talking about all the numbers larger than three.
15:44Okay.
15:45So all the numbers larger than three, there are not multiples of three.
15:49They are co-prime with three.
15:51Okay.
15:52Okay.
15:53Sure.
15:54Okay.
15:55Okay.
15:56Cheers.
15:57How about number four?
16:03All the numbers larger than four, there are odd, there are co-prime with four.
16:12Yeah.
16:42Mm-hmm.
16:52Mm-hmm.
17:00Cheers.
17:12I can see why this world of coprolans are so less underexplored because this is big.
17:41It's a lot and we are dealing with basically non-negative integers and it's a lot and I'm hungry.
18:01Okay, let's take five minutes break.
18:03I'm gonna eat two boiled eggs with milk.
18:09Yeah, let's take five minutes break.
18:11I need some energy, okay?
18:15Yeah, I need some energy to do this, okay?
18:19All right, five minutes break.
18:23Let me have some healthy snacks, two boiled eggs with milk.
18:30All right, five minutes, thank you.
18:35Okay.
18:39Cool.
18:42Thank you very much.
18:43Bye.
18:44Bye.
18:45Good morning.
18:47Bye.
18:48Bye.
18:49Bye.
18:50Bye.
18:51Bye.
18:53Bye.
18:54Bye.
18:57Bye.
18:58Bye.
19:00You
19:30You
20:00You
20:30You
21:00You
21:30You
22:00You
22:30You
23:00Okay, so the generation of co-prime pairs
23:30It is founded upon this co-prime audition theorem here that we proved a couple days ago, okay
23:40Uh
23:42Uh
23:44So
23:46If
23:50Bring this closer
23:52If
23:56AMB are co-primes
23:58Then A and A plus B, they are also co-primes, okay
24:02And B and A plus B, they are co-primes too, okay, so
24:06Uh
24:08From then
24:10Uh
24:12We can just keep adding
24:18Adding
24:20Adding
24:22A and A plus B are co-primes, right?
24:26Then
24:28And then
24:30Then
24:32A
24:34This and this are co-primed and then
24:38A and uh
24:40Add both of them, okay?
24:42A plus A plus B, so 2A plus B
24:46Okay
24:48Okay
24:50Okay
24:52Okay
24:54Okay
24:56A plus A plus B, so 2A plus B
24:58Okay
25:00Also
25:02And 2A plus B
25:04And 2A plus B
25:06They are also co-primes
25:08It's an extension, okay?
25:10Yeah
25:11And also
25:12B
25:14And add together
25:16A plus 2B
25:18And
25:20Add together
25:21A plus 2B
25:22They are co-primes and A plus B
25:26And add them together
25:30A plus 2B
25:32Uh
25:33They are co-primes as well, okay?
25:34Yeah
25:35So, uh
25:36It's
25:37Kind of growing like exponentially
25:39Okay
25:40Okay
25:45And here
25:46In general, okay?
25:50Yeah
25:51Add again
25:52A and
25:53A plus 2A plus B
25:56They are co-primes too
25:57So A and
25:58Uh
25:59Like 3A plus B
26:00That's also co-primes, okay?
26:02In general
26:03Yeah
26:04A and
26:05N times A
26:06Plus B
26:08They are co-primes, okay?
26:10Uh
26:12We
26:13Did this before
26:14Yes
26:15I saw in the whiteboards
26:16In the past, okay?
26:17Yeah
26:18Yeah
26:19Yeah
26:20Looking at the past whiteboards
26:22They are really inspiring, okay?
26:24That's why I do not like erasing
26:27Okay?
26:28So
26:29We really have to look at it
26:30Okay
26:31Okay
26:32Okay
26:33Okay
26:38Uh
26:39Uh
26:40Uh
26:41So basically
26:43A and B are co-primes
26:44Then
26:45A is also co-prime with
26:53N times A
26:55Plus B
26:56Okay
26:57B is co-prime with
26:59A plus
27:00N times B
27:02Okay?
27:03Just add and add and add
27:04Again and again, okay?
27:05Yeah
27:06Good
27:07Yeah
27:08Good
27:09Easiest case
27:10B is co-primes
27:12B is co-prime with
27:13A plus
27:14N times B
27:15Okay
27:16B is co-prime with
27:17A plus
27:18A plus
27:19N times B
27:20Okay
27:21Just add and add and add
27:22Again and again, okay?
27:23Good
27:24Yeah
27:25Good
27:26Easiest case
27:31Easiest case, one and one and one and one, they are co-prime, right?
27:46Then, one and n plus one, they are co-primes, okay?
28:00How about zero?
28:07Zero and one, they are co-primes, right?
28:19And zero and one, they are co-primes, so zero and n times zero.
28:29Zero and one co-primes, so one and n times one, one and n, they are co-primes, okay?
28:48Here, n, it's positive integer, okay?
28:55It's positive integer, okay?
29:02All right.
29:04There's a coma.
29:10Okay, I guess we did enough mathematics, okay?
29:15Let's do linguistics, okay?
29:17After five minutes break.
29:19Okay?
29:20Yeah, this pen running is kind of distracting, but, well, anti-virus pen, so I just have to
29:30let it run.
29:31Yeah, five minutes break, okay, and then we'll talk about linguistics, okay?
29:38All right.
29:39All right.
29:40All right.
29:41All right.
29:45All right.
29:46All right.
30:00Bye-bye.
36:45Okay?
36:46Grammar is like this.
36:47Word ordering is different.
36:49Okay?
36:50I love apple.
36:52In Korean sentence, it's different word order.
37:01It's different word order.
37:02It's different grammar.
37:03Okay?
37:03Okay?
37:04So, yeah.
37:15So, basically, grammar education can come later.
37:17Okay.
37:18So, you can kind of, yeah.
37:30Okay.
37:32Yeah.
37:34And then, yeah.
37:35And then, yeah.
37:36And then, yeah, you read more sentences than language, yeah, they can, you can kind of learn
37:48the grammar in indirect fashion.
37:49Okay?
37:50Yeah.
37:51That's one way to do it.
37:53All right?
37:55Cheers.
37:57Yeah.
37:58Yeah.
37:59Yeah.
37:59Uh-huh.
38:04Uh-huh.
38:05Yeah.
38:06Yeah.
38:10So, yesterday, uh, after the show, what 20 song episode did I watch?
38:27It was another Charles, Mr. Charles Bowman written piece.
38:45Oh.
38:46Printers Devil.
38:47Okay.
38:48Yeah.
38:49So, after I watched that show, yeah, I, while I watched the show, I, I, I, I, I, I, I,
38:55while I watch the show I eat my dinner and then after that go to bed and so I
39:04looked at on my bed look up Wikipedia of that episode yeah printer's devil
39:08actually printer's devil is a it's a phrase it's like back in the days they
39:15have this like movable printing piece right Gutenberg whatever okay
39:22actually wasn't from China okay so printing machine back in the days okay so
39:29printer's devil means printer's apprentice okay and their hands get stand
39:34with ink yeah so also very interesting story history about that okay printer's
39:43devil so printing machine in Europe when was that I don't know maybe 1600 AD
39:57let's look up Gutenberg okay what year was that
40:13Gutenberg German okay 1400 AD close enough yeah 1400 AD okay yeah Gutenberg the
40:33printing machine okay yeah 1400 AD so when it first came out people were just like
40:43any new technology there were some concerns okay so uh printing machine it must be from the devil
40:53okay and that's another they say potential world origin from this printer's devil okay so
41:02yeah and another possible origin there are a lot of theories in wikipedia uh before printing machine um
41:15um
41:17Europe uh they are mostly catholic priests monks who knew the latin language okay yeah or scientists okay
41:31scholars scholars uh so before like 1400 AD around there uh there was no printing machine so they
41:44would just
41:44to make another book they would write it all again handwriting copy
41:56for example
41:57for example bible okay
42:03okay
42:05and it is like wikipedia hyperlink okay uh
42:08uh this was called um wicked bible
42:14adulterous bible okay interesting mystery there okay
42:17uh so
42:18describes monks when they copied over this entire bible by hand to make another bible book because they
42:28did not have printing machine okay uh they omitted this word not okay
42:37mosaic 10 commandment like thou shall not commit adultery
42:42but somebody by mistake uh uh forgot to put that word not it became thou shall commit adultery
43:04uh so that's wicked bible or adulterous bible
43:09uh there were in the world there were about 20 copies that's preserved and they're in museums
43:16uh and some private collection too and uh it was they are still highly priced
43:25collector's item because there are only 20 of them okay just like
43:30some stamps postage stamps if there are some typo in there rarely yeah it becomes very highly
43:41priced
43:45item for the collectors
43:49right
43:51yeah they feel late list like what's it called
43:56uh stamp collection yeah let's go back to scrunchia
44:04is it like feel late list
44:11yeah stamps okay feel lately study of stamps okay yeah
44:18no those rare omission errors uh
44:27actually become highly priced because they're so rare although it's it contains error mistakes like
44:33some stamps they contain some kind of uh misspelling
44:37and although it's wrong
44:46just because it's rare rare error it becomes highly priced items okay yeah the wicked bible
44:55in private collection it was sold something a hundred thousand dollars okay
45:02interesting
45:02okay
45:10okay
45:11okay
45:16five minutes bro okay
45:20please respond
45:24okay
45:25thank you five minutes thank you oh time check
45:36it's been less than one hour
45:41well let's do some ventilation
45:45anyway
45:52okay
45:55okay
49:02Yes.
49:04Okay.
49:05It's kind of a secular joke.
49:06Okay.
49:07It's irreverent.
49:08But it's there.
49:09Okay.
49:10Okay.
49:11Okay.
49:12Let's not always be serious.
49:17Okay.
49:18Okay.
49:19Okay.
49:20Okay.
49:21Okay.
49:22Okay.
49:23Okay.
49:24But very reverent toward God.
49:27Okay.
49:28Okay.
49:29Okay.
49:30Okay.
49:31Okay.
49:32Okay.
49:33Anyway.
49:34Now let's talk about some movies.
49:38Okay.
49:39Okay.
49:40Okay.
49:41Okay.
49:42Yeah.
49:43Okay.
49:44Okay.
49:45Okay.
49:46Okay.
49:47Okay.
49:48Okay.
49:49Okay.
49:51Okay.
49:52Okay.
49:53It's a little bit lower budget movie. But the storyline is based on Mr. Heinlein's novel.
50:02I enjoyed watching that movie again.
50:06Next movie I watched, After Work, Shattered. Mr. Director Wolfgang Peterson. It's one of my favorites.
50:15Good acting, good casting. It's about amnesia.
50:23Danny DeVito was in that movie. Good acting. Yeah, good casting.
50:38Also, Joanne Wally was in that movie too. Very cool.
50:51Uh-huh.
50:53Let me check out my dinner.
51:06Okay, my dinner is cooked. Good. It's like onions and hot of sausages. No water. Okay? Yeah. Nice.
51:18Yeah.
51:21Uh-huh.
51:23That's it.
51:32Okay.
51:32Okay.
51:32I don't know.
52:02I think I can see the influence of that episode upon the Little Mermaid.
52:08Basically, a lady, young lady making a deal with a witch.
52:15Okay.
52:16Okay.
52:20Okay.
52:29And...
52:32Yeah.
52:37I think that's probably what I have to say.
52:39Okay.
52:39So, when it comes to witchcraft, I mean, it's a religion.
52:43There's a pagan religion, like we call...
52:45I've met some people who kind of subscribe to their religion, okay?
52:49No religious discrimination, okay?
52:51So, we appreciate all the religions, like shamanism, we call tradition, and voodoo, because those obscure religions, okay?
53:03They are great materials for, like, movies, TV shows, fictions, novels, something esoteric and mysterious, right?
53:19Like, witch art, okay?
53:21Yeah, magic.
53:25Like, they're kind of like UFO, okay?
53:28It may not be real, but still great material for fiction, movies, TV shows, okay?
53:36Novels.
53:37So, I appreciate that, okay?
53:40Novels.
53:41Novels.
53:42Novels.
53:43Novels.
53:44Novels.
53:45Okay.
53:46Well, in humanology, we are very much based on science, okay?
53:50So, yeah, martial arts, education, color development, exercise, healthy diet, good hobbies, okay?
53:58Okay, yeah.
54:04That's all I have to say today, okay?
54:07Yeah.
54:09I watched another Twilight Zone episode, and while eating some dinner, and then,
54:16I'll go to the end.
54:17Okay.
54:18Okay.
54:19See you tomorrow, okay?
54:21Yeah.
54:22Happy Tuesday.
54:24Yep.