humanology 2091 .
Transcript
00:00:00Hello friends, welcome to Humanology 2091.
00:00:07Happy Thursday.
00:00:09Let's see.
00:00:11Exercise.
00:00:13Okay.
00:00:20Let's do martial yoga, okay?
00:00:22Yeah.
00:00:30Let's do it.
00:01:00Okay.
00:01:21Okay, good.
00:01:23Five minutes break, please. Thank you.
00:01:25Nice.
00:01:27Yeah, I'm running the dehumidifier
00:01:29backwards.
00:01:31Yeah, that's the background noise.
00:01:33Okay.
00:01:35Wow.
00:01:47Okay.
00:01:59Okay.
00:02:29Okay.
00:02:31Okay.
00:02:59you
00:03:29you
00:03:59you
00:04:29you
00:04:47Oh
00:04:52Okay
00:04:59You
00:05:18Very cool
00:05:25Nope
00:05:29Okay, so
00:05:32Let's get back to mathematics. Let's give you what we did yesterday. We made a lot of proofs
00:05:40Last night yesterday evening
00:05:45Yeah, and
00:05:49But before that, yeah, let's go well, I took a shower
00:05:53So I think it's a good idea. I will take a shower like maybe Monday through Thursday and Saturday Sunday
00:06:01I just keep showering Sunday taking a bath. That's a good idea because
00:06:06If I don't do shower if I just take a bath once a week. Yeah, when I take a bath, I scrap too hard
00:06:14my scalp
00:06:15Hair falls out. So yeah, I think taking a shower like Monday through Thursday
00:06:20Actually, it prevents hair loss and promotes hair regrowth I think okay good good. Yeah. Yeah
00:06:30Learning something new every day. Yeah Cheers
00:06:34So camera Harris get had the CNN interview and uh, I
00:06:40Read what you said. I didn't watch it, but also heard some radio show
00:06:45excerpt
00:06:48I
00:06:49Some goods and bads. She want to appoint some
00:06:52Republicans to her cabinet. That's good. Yeah more centrist
00:06:56Yeah, America politics evolving in the right direction there. That's good. You might move bipartisan or harmony
00:07:04Excellent. I'm glad
00:07:07but
00:07:09well
00:07:10Her limit as a Democrat. Yeah anti climate change rhetoric, right?
00:07:15because
00:07:16It's wrong theory in science. Okay climate change. There's nothing to worry about it. Okay, but but you don't know not understand
00:07:26Science okay
00:07:29Yeah
00:07:31Mm-hmm
00:07:34Well
00:07:36I'm not for your present myself. Okay, but it's fun to talk about other candidates and it's so educational as well. So
00:07:43My recommendation to Harris would be that she should adopt more Republican parties policies like fossil fuel usage
00:07:51okay, and
00:07:55Because
00:07:57Dema she will not lose a single Democratic voters
00:08:02By well, even if she adopts the program parties
00:08:06Houses like continue usage of fossil fuel. She will not use a single Democratic Party's voters
00:08:14Why do you think they will vote for Donald Trump? They won't
00:08:18Okay
00:08:20So winning strategy for camera Harris would be would be that yeah, Bill Sodom for the wall
00:08:25There's a different pipe policy from Trump adopted. It's not copyright protected
00:08:31Idea cannot be a copyright protector
00:08:34Expression of idea can only be a copyright protected. Okay. I don't know this. Please. I'm a lawyer. Okay, and
00:08:40Yeah, please. I don't put a wall and she's kind of leaning toward that and that's a good news. Okay, and also
00:08:47Continued usage of fossil fuel oil and gas and coal
00:08:51Okay, but she's not gonna lose any Democratic voters, even if she adopt a report on policy as a Democrat
00:08:58But if she adopts more and more good Republican Party's policies
00:09:03She will start to get more and more Republican Party voters
00:09:09Okay, but she may still win
00:09:13Defeat Trump, even if she does not do that
00:09:18With our company is doing pretty well
00:09:21No, I'm like you as president myself because I'm better than Harris I'm better than Trump
00:09:26Okay, so honkily Kamala Harris doesn't Trump. Okay in that order, right?
00:09:31but
00:09:33I'm not famous enough so far. So what anything can happen? Okay. Yeah
00:09:40Yeah
00:09:42Mm-hmm. Oh
00:09:44Yeah
00:09:45No, I'm not there. I've been over it. I'm not
00:09:48I'm not like RFK. Okay, Junior. I'm not like that
00:09:52Yeah
00:09:54Yeah, I don't ever for years, okay, yeah
00:09:59This year we'll see what happens
00:10:02Yeah, no problem
00:10:07Okay
00:10:11Now I'm gonna do I'm gonna switch out some bottles, okay
00:10:16You
00:10:21The important ones
00:10:33I was going to say and chug out
00:10:41Yeah to connect after work and then
00:10:44Go shower basically taking care of myself. Yeah, it's a long
00:10:57Yeah
00:11:04Yeah, take on that very healthy you give your body time to repair
00:11:14I don't think I need to tell you anything. I just need to refuel
00:11:25Yeah, I did some running through the lunch hour it was fantastic beautiful sunshine there to that
00:11:32Where was beautiful
00:11:41Mm-hmm
00:11:43You
00:11:46Okay
00:11:50Uh-huh, let me find a spray, please. Thank you. Okay
00:12:06Okay
00:12:08You
00:12:12Yeah, a little whiteboard
00:12:15Mm-hmm
00:12:18Okay
00:12:28Mm
00:12:38You
00:13:08You
00:13:38You
00:14:08You
00:14:38You
00:15:08You
00:15:38You
00:15:45You
00:16:00Okay
00:16:04Now time for mathematics
00:16:06good yeah so Labor Day weekend is coming yeah happy Labor Day weekend coming
00:16:15will I travel? I might go to Anchorage just for one day one night I might
00:16:26because it's long weekend I might I don't know we'll see pizza is too
00:16:33expensive you know all right let's take a look let me start drinking you're doing
00:16:41mathematics here
00:16:47Alaska Ginseng springboard vodka
00:16:53oh I got something here let me finish drinking that then I don't miss drinks
00:17:03okay so I don't know I think it's Alaska Ginseng maybe cheers
00:17:13it is oh nice
00:17:17okay so let's look let's review what we proved yesterday okay yeah
00:17:29X plus N yeah and cross out theorem and cross out of the bottom function
00:17:36plural function we put it to the bottom function okay
00:18:06you
00:18:36you
00:19:06you
00:19:36you
00:19:47here I I kind of skipped one step here basically
00:20:00bottom of
00:20:03bottom X plus N plus
00:20:10col-x
00:20:13let's go to
00:20:33you
00:20:35you
00:20:37you
00:20:39you
00:20:41you
00:21:01yeah because this bottom X plus N this integer right
00:21:08integer plus like fraction meaning it could be it could be zero or more than
00:21:20zero but strictly less than one okay so yeah let's not complicate it too much
00:21:25this is just that okay
00:21:28okay yeah
00:21:33mm-hmm
00:21:38you
00:22:08you
00:22:14you
00:22:32likewise that's not over-complicating that's not overly formal okay
00:22:38Yeah, we don't have to be overly formal, okay?
00:22:41Here, likewise, left hand.
00:22:44Yeah, we can prove this using that,
00:22:46but another way to prove this.
00:23:00X is equal to bottom X plus curly X, okay?
00:23:04Yeah.
00:23:09Now, bottom X plus N, that's integer, right?
00:23:13So you have curly X, so yeah, and this just...
00:23:32Curly X, okay?
00:23:35Yeah.
00:23:39That's good enough.
00:23:40You don't have to be overly formal, okay?
00:23:41So, okay, okay.
00:23:48Yeah, we can call it disappearance theorem,
00:23:50N just disappears, okay?
00:23:51Or sheds, shedded, shed.
00:23:55Corollary theorem, okay, good.
00:23:57Very good.
00:24:05This, we can call it a contraction theorem.
00:24:08Yeah, okay, good.
00:24:14Very good.
00:24:32Now,
00:24:38what I would like to prove next would be...
00:25:09Okay?
00:25:10Yeah, top X, okay?
00:25:13Does N also, yeah, bottom curl-out theorem,
00:25:17top curl-out theorem, is this true?
00:25:21I'm sure it is, right?
00:25:24We just need to prove it.
00:25:26Just like we did it here, okay?
00:25:27Yeah.
00:25:31So,
00:25:32we just need to prove it.
00:25:32We just need to prove it.
00:25:33We just need to prove it.
00:25:34Just like we did it here, okay?
00:25:35Yeah.
00:25:39Okay, you want to prove it?
00:25:41Go for it, okay?
00:25:42Yeah.
00:25:43Even symmetric to what we did here, okay?
00:25:45Yeah.
00:25:47Okay.
00:25:49Five minutes, please, thank you.
00:25:52Very cool.
00:25:55Okay.
00:25:57There we go.
00:25:59Yeah.
00:26:03Mm-hmm.
00:26:08Mm-hmm.
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00:30:00Mm-hmm.
00:30:01So besides personal hygiene, shower is another benefit.
00:30:07It's kind of reset, right?
00:30:08After all this work, work hours, stress, yeah,
00:30:12after taking a shower, oh, refreshes.
00:30:15Reset, right?
00:30:16Mental reset.
00:30:17Oh, great benefit there.
00:30:20Yeah.
00:30:22Okay.
00:30:23Let's go ahead and prove this real quick.
00:30:26For now, let's assume, I mean, X is always positive.
00:30:29It's zero inclusive, more than zero, or equal to zero,
00:30:34or strictly less than one, okay?
00:30:36I mean, the fraction X.
00:30:38Also, complement X, okay?
00:30:41That was positive, okay?
00:30:43Yeah.
00:30:44And when N is negative, well, for now,
00:30:46we'll assume N is positive, okay?
00:30:49When N is negative, yeah, we'll take care of that later,
00:30:52after proving this, okay?
00:30:56Okay.
00:30:59Oh, yeah.
00:31:01Brand-new algebra, fraction algebra.
00:31:08Oh, nice.
00:31:12Brand-new found land.
00:31:17Brand-newly found land.
00:31:20Yeah, cheers.
00:31:21Welcome to Humanology, yeah?
00:31:29Yeah.
00:31:30Exciting adventure, excellent adventure.
00:31:34Okay, so left-hand.
00:31:42Like before.
00:31:49Maybe this will be a little bit different now.
00:32:04But let's see what happens.
00:32:06It was the same.
00:32:20Okay.
00:32:41Now it bifurcates, okay?
00:32:51Well, fraction X is zero.
00:32:59Then,
00:33:11bottom X is integer, N is integer,
00:33:13so ceiling of one integer is integer.
00:33:17Exact same thing, okay?
00:33:22Oops.
00:33:46But because fraction X is zero,
00:33:50bottom X and top X is the same.
00:33:53Okay, all good, okay.
00:33:59It's the same as right-hand side.
00:34:04It's silly.
00:34:05Okay, let me turn the heat off.
00:34:26Okay.
00:34:30I'm sneezing.
00:34:33I, like, close my nose through and then, okay?
00:34:37Equalize, pressure equalize, okay?
00:34:40Yeah.
00:34:43Cheers.
00:34:54This is when X is an integer, okay?
00:35:02When X is not integer, then
00:35:23Okay.
00:35:51Okay.
00:36:03Okay?
00:36:04Yeah.
00:36:05So, yeah.
00:36:06That's the ceiling call-out theorem, okay?
00:36:11Good.
00:36:12We proved it.
00:36:13Okay.
00:36:19Good.
00:36:21Yeah.
00:36:32Good.
00:36:33We proved that, okay?
00:36:34Yeah.
00:36:35Good enough.
00:36:36Yeah.
00:36:37Cheers.
00:36:46Good.
00:37:00Let's say five minutes, Gregor.
00:37:01Yeah, thank you.
00:37:05Then we create a new IPod or old IPod and add new IPod, okay?
00:37:13And we consider when n is a negative integer.
00:37:19Okay.
00:37:20Yeah.
00:37:23We didn't quite assume that n is a positive integer, okay?
00:37:26But it's a little bit different stuff.
00:37:29So we'll consider when n is a negative integer, okay?
00:37:34Okay.
00:37:35Five minutes, thank you.
00:37:37All right, good.
00:37:39Very good.
00:37:42There we go.
00:37:44Okay.
00:37:48Okay.
00:38:18Okay.
00:38:48Okay.
00:39:18Okay.
00:39:48Okay.
00:40:18Okay.
00:40:48Okay.
00:41:18Okay.
00:41:26Okay.
00:41:34Okay.
00:41:40Okay.
00:41:48Okay.
00:41:56Okay.
00:42:05Okay.
00:42:11Okay.
00:42:17Okay.
00:42:23Okay.
00:42:29Okay.
00:42:37Okay.
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00:44:56Okay.
00:45:04Okay.
00:45:12Okay.
00:45:20Okay.
00:45:26Okay, welcome back.
00:45:28So I took the trash out, and when I did that, I saw some puffball mushrooms.
00:45:34Yeah, it's a mature stage, so it gives out the spores, so I pushed it so that the spores spread,
00:45:42instead of puffball mushrooms, okay?
00:45:44There's small ones and mid-sized ones and quite big ones, okay?
00:45:48So, yeah, they're edible.
00:45:50So, yeah.
00:45:52Yeah, it's kind of mushroom farming, like puffball mushroom.
00:45:56It's very round, spherical, okay?
00:46:00But let me make sure they're edible.
00:46:02Okay?
00:46:04In this mushroom Bible.
00:46:08Make sure they're edible, okay?
00:46:16Make sure they're edible, okay?
00:46:18I know one kind, the small kind is edible.
00:46:20I know for sure about that, but mid-sized one, bigger one, I'm not sure.
00:46:28Yeah.
00:46:36I see three different kinds.
00:46:42Okay.
00:47:02Some of them may not be edible.
00:47:06Okay, I don't know.
00:47:22Puffball, yeah, that's the small one.
00:47:32This one, yeah.
00:47:36Let me look them up.
00:47:38Yeah, I think that's the small one.
00:47:42Yeah.
00:47:52Yeah, it's edible.
00:47:54This means very good taste.
00:48:18Oh, some puffball mushrooms are poisonous, huh?
00:48:38Pigskin poison puffball.
00:48:40Yeah, okay, okay.
00:48:42It's good that I'm looking them up.
00:48:48But that's not the one growing up in my yard, I don't think.
00:49:12I don't see it here.
00:49:38It could be western giant puffball.
00:49:40Could be.
00:49:45And they are edible.
00:50:02You see this?
00:50:03Yeah, it could be this or it could be something else.
00:50:05I don't.
00:50:07I don't.
00:50:25I'll look them up later because I'm not eating it because there's only a handful of that kind of bigger puffball.
00:50:32I don't think they are poisonous, but I look them up on the internet, okay?
00:50:38Puffball mushroom in Alaska, okay?
00:50:40I look them up on the internet.
00:50:42Yep.
00:50:43I'm not eating it.
00:50:45There are like two of them in my yard, so.
00:50:48Okay.
00:50:51Oh, new iPhone?
00:50:52Sure.
00:51:02Yeah.
00:51:23We can use this one.
00:51:25Yeah.
00:51:28I haven't seen that white board in a long time, sure.
00:51:48Yeah.
00:51:52Let me check real quick.
00:52:07It's been less than one hour, okay.
00:52:10Okay.
00:52:14House has warmed up.
00:52:17Good.
00:52:22Yeah, back in the complex analysis days, right?
00:52:25Yeah.
00:52:29Yeah, it was fun.
00:52:50Okay.
00:53:06Cheers.
00:53:07Happy Thursday.
00:53:12Okay.
00:53:17Yeah.
00:53:28Yeah, same thing we proved, but this time N is negative.
00:53:32N is negative, okay?
00:53:54N is negative integer, okay?
00:54:00Okay, yeah.
00:54:01Very complex notation.
00:54:02Nice.
00:54:04I've never seen anybody writing it like this, but N is the integer and N is negative, okay?
00:54:11Yeah.
00:54:12Nice.
00:54:14Now, if you can prove it, if you want to prove it, go for it, okay?
00:54:18Let's take five minutes break.
00:54:20Okay.
00:54:23But let's go to internet and let's check out performance in Alaska, okay?
00:54:31Sure.
00:54:54Yeah.
00:54:55Edible Alaska, very good website.
00:55:11Yeah, there's like, well, studded puffball mushroom.
00:55:20The big one isn't quite studded like that.
00:55:24I'm not quite sure.
00:55:25I'll look at it again.
00:55:42Yeah, the big one is not that big.
00:56:02It's like ping pong ball size, but it was not as studded as this.
00:56:09It was more like that.
00:56:29It was quite smooth, actually.
00:56:31It's more like this.
00:56:33It's more like this.
00:56:54Okay.
00:57:12Kind of light brown.
00:57:19More like this.
00:57:28Yeah, that's more like it, a little bit.
00:57:42Okay.
00:58:11Yeah, more like it.
00:58:33It looks more like this.
00:58:34Yeah, it's not quite like rugged, like studded, but fairly smooth, actually.
00:58:40Let's try this one.
00:58:49Yeah, look really cute.
00:59:03Okay, it's not as big as that.
00:59:09Yeah, it looks kind of like this, yeah.
00:59:15Maybe this.
00:59:17Yeah, so I guess it's edible.
00:59:26Yeah.
00:59:31Very cute.
00:59:39Looks like an egg.
00:59:42So cute.
00:59:46Enough.
00:59:47Okay, so yeah.
00:59:49I think they're edible, okay, because the poisonous one, well...
00:59:53Now, let me look at the poisonous puffballs.
00:59:58I want to make sure, okay?
01:00:11Okay.
01:00:18In this wonderful book, when it's not edible, they put eggs on it, okay?
01:00:24Next to the picture, so...
01:00:32Yeah, puffball mushrooms, yeah, most of them are edible, but there are a few poisonous ones.
01:00:42This one.
01:00:46This is inedible one, okay?
01:00:48Yeah.
01:00:49So inside is like purplish.
01:00:51Okay, yeah.
01:00:53Pigskin poison puffball.
01:01:08Oh.
01:01:10Another one, destroying angel.
01:01:12Okay, okay.
01:01:16Let me remember that.
01:01:37Another one.
01:01:40Death cat, okay?
01:01:42Poisonous, okay.
01:01:48Oh, agaric?
01:01:49Yeah, agaric.
01:01:50I know what it looks like.
01:01:54Right?
01:01:55This.
01:01:57That.
01:01:59Fly agaric.
01:02:00Yeah, I get rid of those.
01:02:02Fly agaric, yeah, in my yard, I get rid of them.
01:02:05Okay.
01:02:06All right, let's take five minutes break, okay?
01:02:08Thank you, yeah.
01:02:09Mycology, study of mushrooms.
01:02:12Biology, nice.
01:02:14Very cool.
01:02:17Okay.
01:02:20Five minutes, thank you.
01:02:21If you want to prove this, go for it, okay?
01:02:23Yeah, thank you.
01:02:25Okay.
01:02:28Boom.
01:02:30Oh.
01:11:41Okay.
01:12:06Okay.
01:12:26Okay, so I am not sure what puffball mushroom that one is.
01:12:31It does not quite look like the poisonous one, but it could be related species, okay?
01:12:38It could be poisonous.
01:12:39I don't know.
01:12:40I simply do not know.
01:12:53Yeah.
01:13:01It is too...
01:13:19Common earth ball.
01:13:21I see.
01:13:22That's what poisonous pigskin puffball mushroom look like, okay?
01:13:27So it has a lot of dots and very rugged, right?
01:13:33And the mushroom I see in my yard, it does not look like this, okay?
01:13:38But it could be another poisonous one.
01:13:40Who knows?
01:13:41Okay, so until I found out exactly what that puffball mushroom is, I'm not going to eat it, okay?
01:13:48But it does not look like this pigskin poison puffball, okay?
01:14:00Common earth ball, also known as scleroderma citrinum, okay?
01:14:07That's the poisonous one.
01:14:08It does not look like that because...
01:14:12Let me show you.
01:14:13I took some pictures, okay?
01:14:15So...
01:14:17Oh, my neck is hurting now.
01:14:24Yeah, the one in my yard look like this, okay?
01:14:30It does not have those, like, studded, like, dark brown dots.
01:14:35It's very smooth.
01:14:43But this one more looks like that, just a little bit, right?
01:14:46It does have some light studs, but not, like, very pronounced.
01:15:03Hmm.
01:15:08Well, well.
01:15:09I don't know.
01:15:10I'm not going to eat it, okay?
01:15:11So...
01:15:14Okay, let me charge my phone, and let's get back to mathematics.
01:15:18Oh, my neck is hurting now.
01:15:20Oh.
01:15:22Ah.
01:15:45Okay.
01:15:51Yeah.
01:15:53Oh.
01:15:57Okay.
01:16:00Time to look.
01:16:05Because I've been looking down that mushroom, you know, in my yard.
01:16:10That's why my neck is sore.
01:16:13Okay, it's been more than one hour, okay?
01:16:16Ah.
01:16:18Oh.
01:16:21Cheers.
01:16:27Mm-hmm.
01:16:30Let's make some examples, huh?
01:16:34X is a positive fractional number, okay?
01:16:37All right?
01:16:38Yeah.
01:16:46For example, 1.7.
01:16:54Let's say plus minus 3, okay?
01:17:00And minus 5.
01:17:10Minus 3.3.
01:17:19Minus 4, okay?
01:17:22Yeah?
01:17:23We're going to the left, okay?
01:17:24So...
01:17:27Cheers.
01:17:33Mm-hmm.
01:17:44Piece of hell.
01:17:45Yeah.
01:17:46It's the same as...
01:17:49Can minus 5 crawl out?
01:17:59Cheers.
01:18:02One, minus 5, yeah, minus 4.
01:18:05Yeah, it is, okay?
01:18:08Yeah, so it works.
01:18:15It does, okay?
01:18:17We don't need to formally prove this, because when we prove this,
01:18:22we did not quite assume that n is a positive number.
01:18:26We didn't, okay?
01:18:28We just follow the definition, okay?
01:18:29Yeah.
01:18:37Let's see if we assume that n is a positive number, okay?
01:18:42Just to make sure.
01:18:45With the opening of a new chapter in mathematics, fractional algebra,
01:18:50so we need to be mathematically rigorous, okay?
01:18:54Yeah.
01:18:56We are building a firm foundation.
01:18:59Error-free, okay?
01:19:00Yeah, cheers.
01:19:04Mm-hmm.
01:19:15Hmm.
01:19:28This one, for example.
01:19:37If bottom x plus n is negative?
01:19:50For example.
01:20:06Negative 5 plus 0.3.
01:20:27Negative 4.7.
01:20:34Which is negative 5, okay?
01:20:43It still holds, yeah.
01:20:46So the bottom function, we are moving to the left.
01:20:51Whether the number inside is negative or positive doesn't matter.
01:20:57It works exactly the same way.
01:21:00Okay?
01:21:01Yeah, we're moving toward the left, okay?
01:21:03Top function, we are moving to the right.
01:21:06So it does not matter at all whether this argument of this function is negative number or positive number, okay?
01:21:13Yeah.
01:21:14This bottom function, we move to the left.
01:21:17Ceiling function, the top function, move to the right.
01:21:20It works the exact same way, okay?
01:21:22So, yeah, that's why this, we don't need another proof of this.
01:21:27All right?
01:21:30Okay, good.
01:21:31Then we're done here, okay?
01:21:34Yeah, nice.
01:21:35Okay.
01:21:36Now that my neck is hurting, yeah, let's wrap up for this episode.
01:21:40It's been more than one hour, okay?
01:21:42And then I decided to start uploading to Dailymotion.
01:21:47And, yeah, let's go to Instagram live, okay?
01:21:50Bye.
01:21:52Yeah.
01:21:53See you soon.
01:21:54Okay, thank you.