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00:00:00Hello friends here. Good to Friday Nalabodhokkalee 171 yeah happy Friday let's see exercise
00:00:14okay well how about this back punch
00:00:20okay okay
00:00:22oh okay oh yeah back punch okay
00:00:32good enough yeah five minutes back please thank you okay yeah
00:00:48all right
00:00:52you
00:01:22you
00:01:52you
00:02:22you
00:02:52you
00:03:22you
00:03:52you
00:04:22you
00:04:52you
00:05:22you
00:05:52you
00:06:20oh
00:06:23welcome welcome happy Friday let's see
00:06:31uh
00:06:33mathematics okay yeah sure let us continue
00:06:44um
00:07:02oh yeah so we realize that this works exact same way when n is negative yeah flooring shift to the
00:07:11left whether n is negative number positive number flooring shift to the left okay and
00:07:21ceiling shift to the right it doesn't matter whether n is negative positive or not it works
00:07:28exact same mechanism okay so that's why we do not need separate proof okay yeah all right now
00:07:37what we have left yeah so we have good foundation we proved things so let's go to the next problem
00:07:51okay um uh
00:08:05dude there are so many theorems here it's fractional algebra brand new algebra okay
00:08:11there's a suit it's like gold mine they're gold everywhere okay so there's so many theorems so um
00:08:20it's difficult to keep track of which theorems we uh once we already proved proved and which
00:08:30theorems are conjecture still because we haven't proved them yet okay that's just so many of them
00:08:36okay so
00:08:42i think our next conjecture where theorem will be proven is uh this
00:08:53you
00:09:03happy friday
00:09:13okay
00:09:16let me tell you something okay happy friday happy level day weekend yeah
00:09:21officially started now great will i travel i don't think so i got no money
00:09:28oh too expensive if i stay one night in anchorage it cost me 500 okay so
00:09:38i got i i don't have that kind of money no too expensive
00:09:51you
00:10:01okay
00:10:05oh nothing to prove if you want to prove this go for it okay
00:10:15left hand side
00:10:22okay
00:10:24right hand side
00:10:29okay we'll call it inversion theorem okay
00:10:39um
00:10:52um
00:11:02let me refill the vodka bottles
00:11:11i think we are ready to prove this
00:11:15okay based upon what we have proved so far if not we'll prove more stuff that is necessary to
00:11:24prove this okay yeah
00:11:44so
00:11:54um
00:12:07uh
00:12:18okay
00:12:37so
00:12:49okay now it's time to switch this out
00:13:08you
00:13:14you
00:13:26you
00:13:38okay
00:13:42you
00:13:44you
00:14:04i don't labor here yeah just think about the car so just tinctures
00:14:14you
00:14:28now let me start drinking okay uh one more
00:14:36i need to refill this
00:14:37this yeah if you want to yeah go ahead and prove this okay if you want to me i don't know how to
00:14:46prove this yet just refilling the vodka bottles pictures
00:15:08you
00:15:14okay
00:15:25well so next file quote from amazing malini you gotta feel these things you know
00:15:32now
00:15:35we'll talk about the dove you know like
00:15:40circus magic
00:15:44uh mr malini's apprentice uh
00:15:52fbi amazing malini episode
00:15:54uh
00:16:01his character name is something lavonge something like that
00:16:05french malini that's the italian name
00:16:24you
00:16:38labor well happy labor day weekend sure doing some labor here
00:16:54you
00:17:00yeah i ran uh in the park during the lunch hour yeah legos park nice
00:17:14well i got more but by the outside so it's so cool
00:17:17cool
00:17:21let's say five minutes thank you
00:17:39yeah
00:17:40okay five minutes thank you okay uh definition
00:17:56call x is equal to
00:18:00x minus
00:18:05bottom x
00:18:06x slash x
00:18:12is defined as okay
00:18:25um
00:18:25um
00:18:29top x minus x
00:18:36okay
00:18:41yeah for example x is 1.7
00:18:51oh
00:18:56if x is 1.7 bottom x 1 so call x 0.7
00:19:06uh if x is 1.7 top x is 2 slash x 0.3 okay okay
00:19:17okay well you want to prove this go for it okay thank you five minutes thank you yep
00:19:31nice
00:19:37beautiful surgery there
00:19:42oh yeah
00:19:47you
00:20:10uh
00:20:16you
00:20:46you
00:21:16you
00:21:46you
00:22:16you
00:22:46you
00:23:16you
00:23:47you
00:24:00okay
00:24:04now i can drink some
00:24:08oh
00:24:16you
00:24:21all right
00:24:46you
00:25:08yeah i'm drawing on the tumble dryer some linen like bad shits yeah so there's a background noise
00:25:16over there okay ah okay let's make some examples
00:25:30and uh put myself some drinks
00:25:32let's start with this
00:25:53yeah uh there's honk mushroom
00:25:56um
00:26:03good one
00:26:11cheers happy friday
00:26:27you
00:26:35according to the definition
00:26:57this is minus one okay so minus minus one minus one plus one plus one minus 0.7 so 0.3 okay yeah
00:27:14um another thing to useful uh theorem complement theorem okay yeah
00:27:27you
00:27:35okay yeah
00:27:46cheers i'm suffering from digestive fatigue because i had good dinner yeah cheers
00:27:57so i skipped the napping after work nap yeah but i recover
00:28:07using the definition
00:28:19you
00:28:22okay uh looks like we need to
00:28:26find some formula for this one okay so uh before we proceed with this
00:28:37um
00:28:49you
00:28:51now hypothesis okay
00:29:06let's make some examples
00:29:10um
00:29:18motor left so this is minus two okay which is minus
00:29:31okay wow how cool is that yeah so bottom crawl out theorem okay so nice
00:29:40you
00:29:45okay when minus sign crawls out it flips from bottom to top how cool is that
00:29:54okay it's our newest discovery uh we need to prove this okay yeah beautiful
00:30:01so
00:30:05is this wikipedia i don't think so but let's check this is something really cool
00:30:13welcome to humanity we discover something new like quite often
00:30:22uh
00:30:30okay
00:30:43oh that water is stale let me get new water
00:30:48what is so important
00:31:00so
00:31:20yeah
00:31:24well you know i like kamala harris but kamala has no honky lee okay so
00:31:29i'm like way up there she's way down there okay in terms of knowledge okay so
00:31:34but i like her she's beautiful yeah very good looking lady kamala harris okay yeah
00:31:40i like watching her she's very photogenic yeah kamala kamala kamala kamala kamala kamala kamala
00:31:48okay yeah cheers
00:31:50cheers
00:31:56now
00:32:01okay so there's some negative
00:32:05number there good
00:32:09now do they have this crawl out theorem i don't think they do
00:32:19so
00:32:29so
00:32:46oh they do have it they do have curl out theorem right here
00:32:53okay oh nice
00:32:59so
00:33:12um
00:33:29okay cool so i kind of suspected it okay so they already have it good good good but
00:33:44we approve it okay yeah
00:33:48yeah
00:33:52how do you prove this
00:33:56well
00:34:00you
00:34:03oh my neck
00:34:09cheers
00:34:20it's already the only assuming we keep it yeah but uh didn't provide the formal proof
00:34:26so we're gonna prove it ourselves but it's already proven by some others okay yeah most likely okay yeah
00:34:56you
00:35:11well let's use the definition
00:35:17because here what's going on here is um
00:35:26oh
00:35:38okay
00:35:50you
00:35:54okay
00:36:20you
00:36:28um
00:36:37you
00:36:47uh yeah it's kind of circular logic there uh
00:36:54you
00:37:01it's tricky yeah my neck is already so let's
00:37:04take five minutes break okay thank you yeah yeah cheers
00:37:15yep oh this one's tricky one okay five minutes thank you oh
00:37:25you know okay very cool
00:37:39um
00:37:54you
00:38:24you
00:38:54you
00:39:24you
00:39:54you
00:40:24you
00:40:41okay how about some narrative mathematics
00:40:45it's mathematical narrative yeah you can see the two way two different ways okay
00:40:56yeah me uh i believe in god creator so uh we're discovering something that
00:41:06god created a long time ago okay it's very humble attitude okay
00:41:10yeah as a believer of god okay another way more atheistic way yeah well we are making this we are
00:41:21building a country ground up brick by brick where is both okay yeah cheers
00:41:30you
00:41:36it's two different ways of looking at the same thing okay creative mathematics here okay
00:41:48so what worked before is this okay
00:42:00well this approach didn't quite work so let's make another approach
00:42:09x is equal to
00:42:15floor x yeah we interchangeably use the two terms the floor actual bottom s top x ceiling x okay yeah
00:42:30you
00:42:33and we have
00:42:39and then what we have here is
00:42:56okay
00:43:00you
00:43:13and we have disappearance theorem right which we proved
00:43:19because bottom x that's integer so it disappears okay
00:43:30okay
00:43:38okay and minus
00:43:45coli x is go to the other side yeah slash x
00:43:55minus one
00:44:00okay again disappearance theorem okay
00:44:12now because slash x is a positive number okay between uh it could be zero or more
00:44:21and strictly less than one okay uh that's true for both slash x and coli x okay
00:44:30ta-da
00:44:35good very cool cheers it worked okay awesome
00:44:48um beautiful
00:44:53now
00:44:54now
00:44:57i think the reason why wikipedia did not put the
00:45:01proof in there maybe they don't know how to prove it
00:45:07they can intuitively understand you know the uh
00:45:13this curl out theorem but they don't know how to prove in my opinion okay yeah okay
00:45:21now now we can prove this curl theorem okay yeah
00:45:45uh
00:45:51next
00:45:58just left hand side
00:46:20uh it's a mess here okay
00:46:37well
00:46:40let's redo this okay so left hand side is equal to
00:46:44minus x minus coli minus x which is equal to yeah using
00:47:00inversion theorem over there we just proved
00:47:15you
00:47:24yeah you're selling us
00:47:32we just right inside 3d
00:47:37okay
00:47:39whoo yeah
00:47:45next
00:47:49a lot of more proofs y'all
00:47:53yeah cheers
00:47:54cheers
00:48:09now the ceiling curl theorem okay
00:48:25now
00:48:27let's make some examples to come up with conjecture hypothesis
00:48:43minus one
00:48:54you
00:49:12okay
00:49:25you
00:49:45you know to prove that we'll possibly need to prove something else
00:49:55yeah the dual
00:50:00the counterpart of that okay
00:50:05so this coli uh inversion theorem or coli convergent theorem okay now
00:50:15counterpart yeah slash uh inversion theorem
00:50:24you
00:50:29okay
00:50:36i think this is easy to prove
00:50:41okay you don't prove this like uh
00:50:46uh
00:50:49slash inversion theorem go for it okay hint use this because we already proved this okay
00:51:00oh yeah this is fun oh fantastic it's brand new but not too difficult
00:51:08okay yeah nice the newness adds some difficulty because nobody's been there before okay yeah
00:51:16but technicality is quite easy it's algebra
00:51:23right high school level middle school level algebra okay
00:51:31we are dealing with chi philosophy yeah fractional fractional algebra okay
00:51:37you want to prove this go for it okay using this we'll take five minutes break yeah now time check
00:51:53it's been less than one hour okay okay i people may call me loser or it's friday
00:51:59level day weekend yeah other people may have a date other guys may have a date with a beautiful
00:52:06lady hunkily yeah wrestling with mathematics what a nerd geek loser well i don't see it that way
00:52:15look i'm happy morally ethically legally happy that's how our human defines successes
00:52:26yeah moral happiness that's success okay welcome to humanology yeah five minutes okay thank you
00:52:34yeah you're approved just go for it okay nice
00:52:43very cool yeah oh
00:52:49oh amazing let's go yep
00:52:54beautiful
00:52:57oh
00:53:04yeah
00:53:13okay
00:53:33you
00:54:03you
00:54:33you
00:55:03you
00:55:33you
00:56:03you
00:56:04you
00:56:25okay well let's take a break from mathematics
00:56:30and uh let's talk no mathematics uh uh after work i watched this youtube documentary
00:56:39like true lives channel i think it's their british production i think okay
00:56:44yeah documentaries documentary filmmakers uh youtube channel uh they made a documentary about
00:56:53columbine incident i'm very sorry about 15 people passed away in that incident it's horrible okay
00:57:00i'm very sorry so one of the two uh criminals there uh high school student uh his father
00:57:10according to the documentary okay his father was a test pilot in united air force okay uh well test
00:57:18pilot in air force they are the best pilots in the world well in america for for sure okay
00:57:25well not not in the world let me take that back okay because i don't want to be like america
00:57:30being best country i'm against that attitude that's arrogance okay yeah test pilots in air
00:57:38force they are the best pilots in america okay uh because was test pilot in air force
00:57:46uh they uh they are pilots of uh brand new model airplane models so it's very dangerous job
00:58:00okay brand new experimental airplanes yeah they tested out
00:58:05test pilots okay they're the best pilots in america okay
00:58:11so my guess educated guess is that uh
00:58:16he should not have married and have children okay yeah my guess is that he's very career
00:58:23oriented person and he did not spend enough time with his son and i think that's why his son became
00:58:32a criminal in the columbine high school incident okay yeah in colorado okay
00:58:39okay me i don't want to get married i don't want to have children okay because
00:58:45well i'm a lawyer but uh i don't want to be a judge judge is there too busy they even work during
00:58:52the weekends at home okay i don't want to do that okay so i i'm not career oriented person i'm more
00:59:00like hobby oriented person i do mathematics as a hobby okay this is not my job my hobby okay
00:59:08i'm a hobby oriented person i'm too busy with my hobbies i don't have time to have a family
00:59:16raise children so that's why i don't want to get married and i don't want to have children
00:59:20okay because i will not have time to spend with my children if i have children okay
00:59:26marriage is not for everybody okay
00:59:29okay all right
00:59:41i mean my some parents they're career oriented they have very good
00:59:50they educated very good children my parents for example
00:59:54highly successful yeah career oriented but they raise their children very well
01:00:00because they're like superman wonder woman like my parents okay they're busy but still they
01:00:07spend time with them time with us their children okay and we grow very well
01:00:15but not everybody can do that
01:00:16that yeah look at bill clinton hillary clinton
01:00:23career oriented right their children turned out to be very well
01:00:29chesley clinton okay yeah
01:00:34barack obama michelle obama career oriented parents their children turn out to be very well too
01:00:40huh some people can do that but not everybody can surely i can't do both
01:00:50now okay yeah okay so now let's continue
01:01:03let's take five minutes you approve this and this too go for it okay yeah five minutes
01:01:09okay okay welcome to human logic yeah we are more than mathematicians
01:01:15we are educators as well as a humanologist okay five minutes okay thank you
01:01:26okay
01:01:33yeah
01:01:39you
01:01:51right
01:02:08you
01:02:38you
01:03:08you
01:03:39you
01:03:51okay so well let's talk more some more about parenting okay so uh some people decide to be
01:03:59like stay-at-home mom stay-at-home dad that's cool too why because parenting is one of the most
01:04:06important job in the world yeah to give birth to and raise and educate children future generation
01:04:11okay very important okay it all depends on personality personal background okay experience
01:04:18okay they're cool okay yeah all right now let me pour myself some more drinks and we continue
01:04:37yeah we are laboring
01:04:41which befits the occasion of this Labor Day weekend but well
01:04:48we level up during the weekends anyway so it doesn't really make too much difference
01:04:58second week Labor Day weekend okay that's that's all but even if it's not Labor Day weekend still
01:05:03we work mathematics right yeah now I want some chaga I mean not chaga but
01:05:13Alaskan Ginseng Bark Vodka okay yeah dragon dragon you look like dragon right yeah
01:05:19Alaskan Ginseng Bark Vodka let's go
01:05:23Alaskan Ginseng Bark Vodka is inedible
01:05:33yeah
01:05:37I have more common name devil's club but Alaskan Ginseng is better name because that's not
01:05:43well okay devil's club okay it's very prickly okay thorns and also its fruit is inedible
01:05:53although bears they eat them okay no I'm dumb but humans cannot eat
01:06:00Alaskan Ginseng fruit this is red in color okay
01:06:03because it's poisonous okay to humans not to bears though okay cheers
01:06:15bears like oh don't worry no worries I eat them
01:06:20also lupine okay there's purple flowers yeah legume yeah too lupine seeds or lupine flowers
01:06:31uh okay I looked it up in the internet okay uh they are not edible as it is but lupine seeds
01:06:40uh
01:06:41lupine seeds like in middle east southern europe okay yeah or american natives also in south
01:07:09america as well okay uh they soak in the cold water and then kind of leach it sometimes flow
01:07:18in cold water okay several times to get rid of the beta alkaloid toxins after that yeah they pickle it
01:07:29yeah
01:07:30yeah
01:07:32in australia as well lupines yeah they're in alaska as well they're beautiful purple flowers
01:07:39other countries sometimes pink yellow different kind of colors one lupines actually uh
01:07:47is called a blue bonnet flower which look like women's hat actually it's a step flower texas
01:07:55yeah I learned today after work okay yeah cheers
01:08:05there's some news about texas step air and in the picture they describe yeah this is like a
01:08:13blue bonnet flower texas step flow and I looked at it so it's in texas so it kind of look like alpine
01:08:22alpine lupine in alaska okay
01:08:27so i googled it blue bonnet flower and wikipedia i go about it yeah it's
01:08:37a relative lupine okay oh okay cheers
01:08:43yeah
01:08:48yeah they're popular gardening flower as well because it is beautiful you don't see it sure
01:08:59yeah they're quite common flower in um alaska yeah there was a lot okay
01:09:14you
01:09:20you see yeah
01:09:25oh yeah beautiful flowers lupine okay
01:09:30how nice
01:09:34okay
01:09:38let's go
01:09:39oh come check
01:09:49it's been more than one hour okay so uh
01:09:54let's take five minutes okay yeah we have time okay so
01:09:59okay we'll take it nice and slow
01:10:03it's friday let's relax yeah there's no time pressure here so but five minutes thank you
01:10:17yeah bears they lupine flowers which is toxic to us but bears it's like they don't care
01:10:28yeah
01:10:30yeah
01:10:41because look bears they eat rotten fish like salmon
01:10:50dead salmon that passed away from last fall now dead salmon from last fall last autumn season
01:11:03next year during springtime when water thaws bears eat those dead salmon during the springtime
01:11:12if they're rotten fish dead salmon for like several months right bears eat them bears eat
01:11:22dead animals rotten meat they'll carry that they don't get sick no so yeah biologists also
01:11:33medical scientists they need to study bears how they can eat those rotten meat and do not get
01:11:41harmed at all bears they they rotten meat all the time they need to study that okay yeah five minutes
01:11:53thank you
01:11:54yep
01:12:23you
01:12:53you
01:13:23you
01:13:53you
01:14:23you
01:14:53you
01:15:23you
01:15:53you
01:15:57uh some more talking points sure let's go on marriage yeah it's like gamble also having a
01:16:04child or gamble right how about mathematics it's a gamble too i mean we come up with some
01:16:12hypothesis conjecture it could be true it could be false okay uh it's kind of a gamble but it's
01:16:18safe for gamble more soft core gamble than marriage or having children that's hardcore
01:16:25gamble that's like a lot of money involved here not that much money it's pen whiteboard
01:16:35yeah whiteboard between like instead of $30 or $35 pens like come many times come with the
01:16:45whiteboard for free okay
01:16:50cheap gambler okay yeah marriage having children oh that's like million dollars
01:16:57at stake that's like hardcore gambler okay so all right so i don't do that
01:17:06how about me running for your president i don't spend any money yeah i do spend some money right
01:17:13yeah whenever i go outside of wasilla city sometimes wasilla city to going to some like
01:17:22city sometimes wasilla city to going to some like concerts or
01:17:29staff fair or encourage yeah it's campaign campaign expenditure that i report to FEC
01:17:38okay uh because me going out there is part of my campaign and i do spend money there okay like
01:17:45three hundred dollars five hundred dollars okay yeah but
01:17:53it's safe okay i don't give out speeches uh i go there some take some pictures
01:18:02and some videos and upload to like social media streaming services it's part of my political
01:18:08campaign it is okay it is campaign expenditure okay but i'm not like
01:18:16giving out speeches or anything so it's safe okay yeah sure
01:18:24okay now seriously let's get to this
01:18:26okay uh it's just like there
01:18:41all right let's exercise some diligence extra diligence
01:18:48use the level that i can okay sure uh left hand side
01:18:56uh
01:19:12how about this
01:19:16we uh proved curly disappearance theorem right
01:19:22we need to prove uh slash disappearance theorem as well
01:19:27like uh
01:19:47if you haven't approved it yet
01:19:56uh there's so much things to prove
01:20:03you know uh i would
01:20:08refer this episode okay so it's been more than one hour okay this is tedious laborious
01:20:15it's mechanical process okay so uh let's continue mathematics tomorrow okay
01:20:20and we'll decide this and then we'll go to insider life after that okay yeah i'll see you soon
01:20:26or i'll see you tomorrow okay yeah
01:20:31yep okay thank you happy Labor Day weekend thank you