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00:00:00hello friends welcome to Shumaizer 2087 let's do some push-ups for exercise
00:00:09okay maybe a hundred times
00:00:21yeah
00:00:30ah
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00:00:56oh hundred times but light push-up okay yeah edge finger wrist fist and then palm
00:01:04right yeah 20 each hundred times nice light push-up okay five minutes break
00:01:11please thank you
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00:08:02it's all packed in one place
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00:15:09hello friends welcome to human analogy let's take a break from mathematics okay
00:15:14so yeah we got a lot to catch up in the news anyway so so democratic after work i will check
00:15:22i will i read news during the breaks like uh democratic party national convention dnc in
00:15:30chicago illinois i guess and some speakers i haven't played in the youtube i just read
00:15:41in the news some excerpts yeah mr obama obama and uh bill clinton yeah very interesting uh
00:15:49the good orators yeah i like some parts of what they said there and
00:15:58but after work yeah i watched several documentaries by uh austral australian
00:16:06company abc australian one um four corners uh show uh uh about trump okay yeah so uh trump's
00:16:18the russian conspiracy right uh he was investigated by robber miller but under
00:16:26trump administration so uh their bias toward trump because his robber miller's boss
00:16:34doj okay yeah so not quite fully investigated okay but uh
00:16:43after watching the documentary yeah i'm i'm kind of convinced that uh there was conspiracy there
00:16:48and uh basically uh i mean it's good that trump befriended putin russia that's good thing that he
00:16:57did okay but uh quid pro quo yeah before that kind of exchange or deal conspiracy which is illegal
00:17:07but trump he has no problem doing something illegal right he has done something a lot worse
00:17:13like january 6th okay so uh and this kind of like conspiracy with russia you know to win the election
00:17:21yeah that's what trump would do gladly he enjoyed doing that stuff okay shady stuff so
00:17:29basically the deal was yeah russia will uh find some hacking tool uh dnc like email server
00:17:37and then basically and then hand it over to wiki leaks and to uh damage hillary clinton's campaign
00:17:472016 right and in return uh trump would lift the sanction against russia the sanction
00:17:58yeah i looked it up okay so during also in the documentary as well 2014 obama days uh russia
00:18:07invaded ukraine in crimean crimean peninsula okay this is island or peninsula south of ukraine okay
00:18:15it used to be part of ukraine but now it's part of russia okay this russian ukrainian war started
00:18:24back in 2014 actually okay yeah i did not know okay i just learned in wikipedia okay
00:18:33so obama imposed sanction against russia and now russia want trump to lift that sanction
00:18:41i'm not sure if trump uh made his end of the deal because i i doubt it did trump lift sanction
00:18:48against russia i doubt it because then it will look too obvious that he conspired with russia
00:18:55to win the election right which is illegal okay so yeah but yeah that was my guess i don't think
00:19:03okay so yeah yeah it was very interesting documentary
00:19:11yeah i ate food so i'm digesting still so it can't do energy but i took on that though yeah
00:19:18yeah so i'm digesting food now okay so okay
00:19:23okay uh
00:19:29yeah let's get part of this okay thank you okay okay
00:19:53you
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00:26:49um
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00:27:24you
00:27:26okay
00:27:34uh
00:27:53you
00:28:24you
00:28:32okay let's get back to mathematics because that's probably what i have to say
00:28:37i mean yeah trump's strategy is like just pick up some low-ranking guy and uh let him do the dirty
00:28:48him or her and after that abandon that person like you know escape good distance himself
00:28:58from former employee very disloyal heartless he has done that to so many people including
00:29:08sydney powell rudy giuliani to name a few okay like uh that's why it's not advised
00:29:19that people vote for trump because one day you'll be there told to be
00:29:24abandoned then being thrown under the bus like be used and then discarded his tons
00:29:34yeah that's what he does to his employees all right yeah
00:29:41that's strong okay all right so during the cigarette break i i told you the idea
00:29:49yeah it was actually easy okay okay so um
00:30:03you
00:30:07okay let's just think about positive numbers okay yeah what are we doing okay
00:30:13okay
00:30:29yeah my feet are still recovering so that's why i did not draw
00:30:33today yeah for a couple of days i'm still recovering from my
00:30:37like sore feet due to like a lot of running so yeah i just do like indoor exercise like well
00:30:46in the park like there's push-ups you know stretching and stuff yeah waist exercise
00:30:53yeah no just a little bit but my feet are healing
00:31:00so
00:31:15hopefully i'll be able to run again tomorrow now okay
00:31:20okay we have this equation for ceiling and uh
00:31:29ceiling and flooring okay and subtract the two the excess cancels out yeah so ceiling minus
00:31:37flooring is equal to fraction x plus a couple of x okay yeah and this whole thing can be either
00:31:47zero or one so it is binary that's why it's so interesting okay yeah okay what do i drink
00:32:01oh yeah
00:32:09alaskan ginseng bark vodka
00:32:17so
00:32:29well i bought a new bottle so no problem okay and let me get some beer okay i'll be right back
00:32:41today
00:33:11you
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00:36:42okay oh so cheers happy thursday time goes fast huh that's good
00:36:52good that means we are enjoying ourselves okay yeah cheers
00:36:58oh it's good
00:37:02very good
00:37:12alaskan ginseng vodka
00:37:18cheers happy thursday
00:37:24oh it's good yeah so
00:37:41it's like this
00:37:50if x is integer well we're just dealing with positive integers for now okay
00:37:56if x is a whole number yeah like positive integers or non-negative integers okay
00:38:01then this will be zero okay yeah
00:38:06yeah but if x is a fractional number like 1.7 or 0.3 then this will become one
00:38:17okay so uh yesterday we did a lot of mathematics we discovered this like at the end of yesterday's
00:38:24session right i was just too tired okay but now that i'm refreshed to no cigarette break i came
00:38:34up with an idea actually it's not a difficult problem okay okay yeah i just needed some rest
00:38:41that's all cheers do you want to find on find a function for this like equation
00:38:57we so far we used i was in bracket right
00:39:00yeah that's good step intermediate step but we can express this without i person
00:39:05breakers just regular algebra okay if you want to go for it five minutes okay thank you
00:39:11yeah good stuff yeah good i don't want to just lecture you know i want it to be more like
00:39:18interactive if i'm interested okay here we go yeah this one okay fine thank you
00:39:27thank you
00:39:29yeah
00:39:57you
00:40:27you
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00:41:27you
00:41:52okay
00:41:56all right
00:41:58my food being digested so i'm getting more energy now slowly recovering from digestive fatigue
00:42:09okay
00:42:14okay
00:42:15okay
00:42:22but yeah my social media posting yesterday i carved it one of it because it was just too
00:42:28offensive uh because like uh yeah that happens sometimes okay so i i carved me
00:42:34hiding from the view but yeah my apologies i was too drunk okay cheers
00:42:46okay let's go so if this okay what is fraction is like this okay fraction that's like x minus
00:43:00uh flow of x okay okay now let's ceiling it
00:43:12okay
00:43:16if
00:43:20x is integer this is zero okay but if x is fraction or number
00:43:31like 1.7 okay now 1.7 minus
00:43:341 is equal to 0.7 ceiling it become 1 right yeah so yeah this is the answer okay
00:43:49how cool is that
00:43:52yeah
00:43:58beautiful how fun
00:44:01yeah
00:44:05uh but proving this we just need to prove one of the one of it okay i i do not know how to do that
00:44:12yet okay then uh maybe tomorrow okay because i do need to take a break from mathematics we did a
00:44:20because i do need to take a break from mathematics we did a lot
00:44:23we discovered a lot and uh yeah now time check
00:44:42it's been less than one hour okay
00:44:44okay maybe we do some just a little bit because i want to make it at least one hour okay so
00:44:53we got 15 minutes left okay uh
00:45:01proving one of this okay
00:45:14you
00:45:44you
00:45:51let's look at this one second one okay yeah example
00:45:54fraction of negative fractional number okay
00:46:08ah
00:46:15um
00:46:17cheers
00:46:23we are using the definition of what fraction is yeah number minus flooring of that number
00:46:32here by definition okay so um
00:46:39um
00:46:43yeah some dual dualism here okay ceiling was flooring of number is actually maximum of numbers
00:46:50which is less maximum of these integers less than x okay so you're flooring like going down
00:46:57max going up right here opposite the ceiling of number is a minimum of any number larger than
00:47:05that okay so ceiling going up minimum going down okay so dual dualism right here okay
00:47:10very cool symmetry yeah nice now that one okay
00:47:35so
00:47:55uh let's work this one out again
00:48:00fraction minus 1.7
00:48:02is equal to
00:48:08minus 1.7 minus flooring of minus 1.7 okay
00:48:19cheers
00:48:32so
00:48:42yeah manual 1.7 going to minus 2 okay uh minus 0.3
00:48:58right
00:49:03this
00:49:182 minus 1.7
00:49:26and this 2
00:49:272 is ceiling of 1.7 okay
00:49:39okay
00:49:58so 1.7 1.7 they cancel out
00:50:03minus minus cancel out so what we have is
00:50:13okay okay
00:50:27cheers
00:50:57you
00:51:28you
00:51:45actually i think that um
00:51:48um here look flooring or something or ceiling or something that becomes an integer right
00:52:00and here they're both integers so we do not actually need flooring here
00:52:08so
00:52:13what we need
00:52:15parentheses
00:52:38you
00:52:44yeah
00:52:47you
00:53:07let's verify this yep it is minus 1 okay so minus 1.7
00:53:12uh
00:53:22plus 0.7 so minus 1 okay okay yep good
00:53:32you
00:53:37cheers
00:53:49um
00:53:52then let's try to prove the first one okay
00:53:58yeah
00:54:02even the information
00:54:10using the definition there
00:54:14um
00:54:16yeah
00:54:36yeah still not quite proving it okay
00:54:44but we simplified it okay that's good we are making progress step by step yep
00:55:14so
00:55:25again minus slash becoming like call okay yeah because they're complements each other okay
00:55:33okay
00:55:44so
00:55:52one more then
00:56:15yeah using complementation rule
00:56:30okay nice
00:56:44let's take five minutes okay yeah uh i still don't have the proof yet but
00:56:50we are making good progress here so that's good
00:56:56okay five minutes thank you
00:57:02okay
00:57:04okay
00:57:10um
00:57:22dark
00:57:34you
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00:59:52all right
01:00:04oh fruit fly let me get that fruit fly
01:00:23yeah i got it
01:00:30all right
01:00:34it's been more than one hour good good good good yeah because i i do need to take a break
01:00:44from mathematics okay so yeah let's wrap for this episode and let's after that let's go to
01:00:53okay sure yeah yeah thank you