 Hi everyone, this is Gicho, welcome to my channel, and welcome to another live stream. Today is May 24th, 2021, and we're doing a live stream open discussion, but centered around mathematics. Drop-in math tutoring session number 75, or thereabouts, and as the numbering indicates we've done a few of these, and it's basically me making myself available for two to four hours a month, a couple of live streams a month, two hour sessions every time to help people out with high school mathematics if they need to help, sort of a drop-in tutoring session I guess, that's the best description for it. Aside from that, welcome to another live stream, I hope you're enjoying yourself, I hope you're having a fantastic, fantastic, today's Monday, 10am my time, Pacific West Coast of Canada time, West Coast of Canada, United States time, and I hope your week's gonna start off with a bang in a nice way, okay. Aside from that, we'll wait for people to drop in, if you want to know, slick mick, gicho, math time, math time, how are you doing? Today is actually a holiday in Canada, in BC anyway, so I sent out a message to my students saying, there's a couple of students that didn't want to have a session because of holidays, so I sent a message to the rest of them, I'm only gonna have a session with a couple more students, and you guys, morning, let's learn, let's learn, let's talk about mathematics, let's have a nice chill session, just focus on what's really important in the world, which is our ability to analyze data, understand what's going on, thank you very much for the follow, crunch, I caught that one, real MC Mike, how are you doing? Good morning, gicho, I hope you're having a fantastic long weekend, looking forward to the math, last stream, me too, me too, I'm very chill today, actually, firehack said, hey gicho, hi all, hello, hello crafter, how are you doing, hello, hello, 420 math for the win, 420 math for the win, yesterday after the stream, we did a stream on the patio yesterday, just open discussion, and after the stream planted some of the seedlings and stuff like this and enjoyed the sun and whatnot, I had the kitty cats outside and the kitty cats were loving the sunshine and just chasing the bugs and stuff like this, so it was a nice day yesterday, and sort of following up with today, being a holiday in Canada and BC anyway, so it's very, very low energy there, salutations gicho, wingnut, how are you doing, haven't seen you for a while wingnut, I hope you're doing well, gang, while we wait for notifications to go out, if you want to know what this work is about, I am on Patreon, patreon.com forward slash gicho, C-H-Y-C-H-O, what we're doing today is a core building block of what my work is centered on, which is basically layered on mathematics, if you want to know what this work is about, you can follow the work on Patreon, I don't put anything behind paywall, everything's great of comments, share and share, like for those of you that have been supporting this work on Patreon, I hope you're enjoying the content and thank you very much for the support gang, it is a large part because of your support that we're able to do this, and we are live streaming on Twitch, if you want to participate in the chat, Twitch is where you want to be at, and for those of you who are supporting this work on Twitch, thank you very much for the support gang, King Canada Live, pretty sure it's a holiday everywhere in Canada except Quebec, also what up Gicho and Chad, what up what up King Canada Live, and so everywhere in Canada is a holiday today, except Quebec, they gotta be special man, they gotta be special, and they are to a certain degree, right, so happy holidays to everyone in Canada except Quebec, and I hope they're taking the time off too, I know the markets are closed, the stock markets, because I check the numbers every morning, right, so you see the numbers stuck from the Friday level, right, Marco, Chicho, what calculus book do you recommend to a soon to be first-year student who has never done calculus, let me go find it, okay I've done a recommendation here, let me find it online, if you do Chicho book recommendations, Chicho book recommendations, the first, and this is a recommendation, something that is even going to, there it is, nice, nice, nice, here, this is a video went out back in 2008, right, and this is part two I believe, no this is part one, and I list the books in the description of the video, and it's calculus and analytic geometry by Howard and Tom, and here's the video, and the reason I put this out is because since I started loading up math content and just videos in general and articles in general and stuff like this, people have always asked me, they always ask me what books do you recommend, what books do you recommend, especially math books, calculus books, take a look at this video, in this video I recommend five books, one of them is Calculus with Analytic Geometry by Howard Anton, another one is Guru Lasher Bach, an eternal golden braid by Douglas Hofstetter, Gods Equation by Amir, The Axel, The Elegant Universe by Brian Green, and Bone by Jeff Smith, gotta throw a comic book in there, and again this video is from 2008, it's Chicho with a beard, and here are the book recommendations I make in this video, and there are, I've done other book recommendations as well, okay, Cheryl, how are you doing, hello hello, hi everyone, Milzy, how are you doing, fire exit, Chicho, quick question, what do you think of blank blank blank for learning math, you can't provide any links, fire exit, only me and Moz can provide links, if you write down the name I might have a feedback on it, Cheryl, Cheryl, by the way Cheryl, I start, since you mentioned a demon slayer, you said the movie was fantastic, I started, I went back to the series and I watched a couple more episodes of the series, season one last night, so good, so good, I want to finish that off so I can watch the movie, I don't want to watch the movie before I finish the series, King Canada, Quebec's Long Weekend is next weekend, Saint Jean Baptiste, okay okay, Ronnie, Joe, how are you doing, crafty, I really like Spevac, his calculus book, I don't know that one, I don't think I know it, MC Mike says to Marco, I recommend Ian Stewart for calculus, Robert Adams has a good one too, but Ian Stewart is widely used and nice to follow along with, cool, cool, cool, Ronnie, my college used Stewart calculus book and I like that, awesome, awesome, I don't know if I've, I know those books, maybe I do, I don't know, thank you Chichot in chat, much appreciated, our pleasure, our pleasure, Ronnie Chichot, how does one find his, her, true passion for career, you have to sample, you have to sample, if you feel like doing something or dabbling in something, dabble in it, don't put all your eggs in that basket, before you really know what it's about, but sample, try things out, it's the only way, that's why kids, if you watch kids, they don't take anything and put it in their mouths, really, there's little kids that eat poop, they poop and they eat it, because, but why not, like what is this thing, no not good, put it away, try different things out, that's my recommendation, you fail, you learn, you succeed, you learn, congrats, you got lucky on the first go, fire exit dance, sorry, brilliant.org was the link, brilliant.org, I don't know brilliant.org, I don't know it, fire exit, if you link it up on our discord, I'll take a look, later on after the stream, Ronnie, sorry for such a broad question, no Ronnie, don't need to apologize, like for me, I got lucky, share, I won't regret it, okay demon slayer, I won't regret it, good, good, good, good, good, Ronnie in regards, it's a legitimate question, right, because our education system, everybody that's going through our education system knows that they do a very poor job on feeding our passions, if anything, they suppress our passions, right, human desire to learn, they suppress it, that's what our centralized indoctrination centers do, so one of the first things we should be asking ourselves when we get out of jail, right, is what do we want to do, right, what do we want to try, right, legitimate question, legitimate question, right, MC Mike, if you're doing calculus three, I could see if I can share a link and discord if possible, it's a textbook from UBC, ah nice, and has some great examples when learning both multivariate and vector calculus, oh I love, oh okay, I actually went to the first university I went to was UBC, but I didn't like UBC very much, so I dropped out and went to college and then went to a different university, Ronnie, I'm working in a corporate job and I feel like miserable, I went to college and grad school for this and I feel like I need to find something else, I'm 30 so I'm not getting any younger, 30 is pretty young still, but yeah, I feel you, right, 30 you need to do a transition if you're stuck in a rut, a good thing is I have no debt and have money saved up, I'm just trying to find an alternative, oh Ronnie you're way ahead of the game compared to most people, right, and here's the thing, you got an education in whatever it is you got an education in, just because the corporation you're working with is treating that system, that genre that you got an education in, in such a horrendous way that it's making you hate it, it doesn't mean what you got an education in is useless, maybe there's another way that you can apply your, your education in that field where you're going to appreciate it, right, so for example, you know, if you, just from my experience, you can, you can study geophysics, but there are multiple branches of geophysics you can go down, you can go down theoretical geophysics, you can geophysics, you can go to astronomy, you can go to exploration, you can go to mining, you can go to environmental geophysics, you can go into building the equipment, so there's multiple branches of whatever it is that you studied, there should be anyway, right, crafter, I feel like you can't know if you'll like something in college, I feel like I would really like math engineering, but now that I try to applied math engineering, I noticed that I mostly like math in high school because how easy it was crafter, yeah, math can get pretty hardcore, some people have a passion, but for others I feel like it's like it could be luck as well, it could be luck as well, right, I lucked out gang, like I can honestly tell you, I lucked out, and it wasn't, it was a little bit more than luck, right, I made an educated guess because I had a really good teacher that was teaching earth sciences and he touched on geophysics and I decided to go to geophysics and I loved it, right, I lucked out, but I've tried a few different fields as well, like I've incorporated, you know, three different companies, incorporated and I've done partnerships, proprietorships and stuff like this and some of the stuff I love, some of the stuff I didn't, but I tried it, real analysis was super hard, there's certain aspects that are super hard, gang, I do announce these live streams 30 minutes before we go live on Mines, VK, Gabb and Parler and we do have a Discord page where people are sharing a lot of information, you can come to our chat anytime you want on Twitch, type in exclamation mark social, right there and all those links will pop up including our Discord page and you're welcome to join us on Discord to share information and participate in discussion, okay, bring your thick skin, okay, some people might agree with you, some people might disagree with you including me, okay, for live streams we don't have any visuals, we do upload the audio to soundcloud.com forward slash chico as a podcast and those podcasts should be available in favorite podcasting platform including Spotify and iTunes and this is mathematics and we will be uploading this on sensor tube and everything goes on, bitchy rumble and odyssey and if you're following this work on only sensor tube you're not getting a full meal deal you want to follow the work there, okay because sensor tube censors information and prevents us from sharing certain types of content for those of you that are supporting this work on those platforms there are a handful of you that are supporting this work through sensor tube membership gang kudos thank you for the support it is because of the collective support we're getting on these platforms that we're able to do what it is that we are doing aside from that gang welcome to another live stream and don't forget Free Assange, Free Assange, Free Assange, Julian Assange is a publisher and journalist that has been crucified for trumpeting transparency and accountability of capitalist power to humanity for more information see wikilease.org defend.wikilease.org and our Julian Assange and Wikilease playlist on sensor tube and keep in mind I believe in July Julian Assange's birthday comes up and this will be close to 10 years of him being persecuted tortured for revealing information truth transparency of capitalist power that humanity needs to know for us to make sure future generations have a pleasant planet to live on okay oh my god how are you doing hope you guys are doing well indeed indeed free free assange again i'm still munching on chocolates i want a chocolate binge right now so dark chocolate this is like cooking chocolate chip dark chocolate right i'm refraining from making chichou's honey chocolate chip cookies because we've been eating a lot of sourdough bread lately my partner's been going ballistic with making sourdough bread and i made some sourdough chocolate chip cookies and we're really good July 3rd 50 years old he's gonna be 50 years old Julian Assange on July 3rd and he looks beat down man he looks beat down i'm older in Julian Assange by the way okay and man huge huge respect to anyone that takes on the most powerful centralized powers in the world and does it for humanity like there's nothing else to be said on that right for anyone that uh you know considers those who acquire wealth to be their idols i would i would tell you to reanalyze your life who you should be considering to be your heroes your idols people that you want to emulate people that deserve your full respect are not those that acquire wealth on the back of humanity but those who try to free humanity from those that are acquiring wealth on the back of humanity mc mike chichou i love your recommendations for sourdough honey sourdough honey i would do how i would not have guessed but it is it's so good so good so good so good it's your birthday coming up chichou indeed indeed you can consider me an elder because according to the mayan cycle i have lived i believe so anyway i remember this from terence mckenna i have i have lived 52 years and according to what terence mckenna mentioned the mayan cycle the long count i believe not everything cyclic that's why we study trigonometry cyclic functions but according to terence mckenna the long count cycle or was it hosé or guerrillas um the long count is 52 years so they don't consider someone to be an elder unless they are 52 years old which means they have lived through one cycle right so i'm very happy about that the gray hair shows the gray hair shows ronnie i kind of respect osama bin lana for that he was wealthy and he decided to leave all that behind to stand up for the massive superpower powers twice i think he did it the wrong way i think a sound is doing it the right way ronnie against against against the us and russia yeah oh good i have a few more years charl you're not an elder yet gang you you don't have to listen to what charl says only to what chicho says i've lived one cycle with age comes responsibility with great age comes great responsibility that's sort of a spin-off spider-man with with great power there must also come great responsibility faith you yeah i would say bin lana did it the wrong way indeed indeed indeed and unfortunately he was pushing wabi ism and wabi ism is a cult fanatical cult that basically is looking to enslave humanity kill as many people as possible that don't believe in their ideology right just like any cult i have the memories of a 60 year old melzy laughing let's go void how are you doing the grog grog grin 12 thank you very much for the follow i appreciate it apologies if i missed the follows and the subs and stuff like this gang i try to stay up on top of chat and i go off on rance and whatnot and i'm not sure if you know we could just do open discussion we haven't been doing a lot of hardcore math lady i didn't really i didn't really plan anything out about i'll show you one thing um here let me show you this let me show you this i have a lot of notebooks and stuff and i if you if you remember i mentioned before that i highly recommend keeping a journal keeping notebooks keeping pads keeping little booklets where you jot down your notes it pieces of paper have a pen paper handy because if you're working on projects all of a sudden you get an idea through something or you find a solution to a problem and if you don't jot it down right away it it disappears right it's like a dream oh it was there but you lost it right so i have a lot of these things and i've had this booklet for a long time and i kept it you know i didn't make too many notes in it just because um i knew i was going to use it for something legit that was going to be useful right now some of the early notes that i took on and i've shown you guys some of my notes that i they've taken uh how to take notes how to study here let me show you let me bring out if you go to my house study page and this is this is actually pretty important because um what i find with a lot of my students is two things which are ridiculous crucial one of them is they don't know how to read a textbook all right that's why i put out a video on if you go to this should be it where's my playlist how to study here's my house study playlist okay i've written in diary since 1993 then you're way ahead of me oh my god i just got into it in the early 2000s this is my how to study playlist right and you know i put out a video in this long format short format of how to read a textbook and this is one of my most popular videos regarding asmr and how education and stuff like this i put out a video on how to make it to do lists okay and basically it's this is reverse order so i start off in the bottom the lowest one is the unless youtube changes this up and it does youtube messes around with people's playlists you you order it from most recent to the oldest or oldest to the most recent and censor tube messes around so every now and then i have to go reset the stuff it's insane it's insane right what a bloke broken platform but in here there's one video i put out is how to take notes okay and this is oops hey come here pause so this is tip number set no this is not the numbers like i want the other one oh my god you censor tube so sucks how to take notes okay so this is the video that you know goes through bojo master how are you doing this is the video that goes through you know how i take notes and how i created a lot of my my videos really the content that you see mathematics content that you see all of it almost has been put into books like this right over the years right um and you know some of us messing up whatnot but there's a section here i start off a whole series and this came about from a video that i haven't released yet we did the video live stream where i was making exercises for one of my students i did them on lemon by 17 paper and what i've done is i'm going to release these sunish okay exercises and solutions because exercise solutions were being hosted for the videos that were created were being hosted on google's image sharing platform when they killed out a few years ago so i lost all that crap not all of it but all the organizing but basically here's the pages of exercises that i've started giving one of my students and i put some of the stuff together from previous work as well right and i'm going to release these sunish where we start off with graphing right exercises for factoring polynomials complex trinomial factoring graphing polynomials and it keeps on going keeps on going so there's a fair bit of exercises that i'm going to release most likely i'm going to create a brand new category on discord especially specifically related to mathematics okay and we're going to build this math content on discord we're not going to do it on blogger because blogger belongs to google and they've already in the last month they've already started removing pages from our website being hosted on blogger because their automated algorithms are complete garbage they're they're they're killing things because their their algorithm is messed up right so we're not going to do the stuff on blogger and we're going to do it on patreon most likely as soon as even patreon's little compromise right but i'll will load the stuff on patreon but we're going to build it once it's finalized but we're going to build it on discord and we'll put videos together on it and stuff like that so um the math is coming along just for those of you who have been following this work you want to know what this is all about and for those of you on patreon that have been supporting this work for a while i keep on saying it's all layered on mathematics and it is all layered on mathematics as you know uh but slowly we're going to start releasing the modules hopefully i can put at least one of the modules together this summer and it's going to be related to factoring okay because factoring just just so you know what factoring is a lot of people have a hard time understanding what factoring is right and factoring is us taking something and breaking something down right if you were a kid how many of you when you were kids you took something and you broke it apart just to see how it worked or what was in it what made it like even even toys right you would take the limbs apart or what not and then put it back together take the limbs of this person over here of this soldier this character over here this doll over here and put it on the other one right you you open up um radios i've gone through one my encyclical so i still remember radios right or jute boxes jute boxes who misses jute boxes did you ever have a jute box man did you ever carry a boom box like this we had them okay but you take things apart right just to see what they're made from and that's what factoring is just imagine it doesn't have to be an equation in math life there could be anything right this is what they do with uh biology and chemistry right they have something here they have something here right here's a here's b right you break a down you break a down you break a down you break a down right it a is made up of all these things right b is made up of this this this this and this right interesting that's what a is made of that's what b is made of right think a bit of h2o h2o h2 and o and h and h you got h h and o makes up h2o which is water right this could be on the same level this could be a function this could be a compound this could be the people this could be genetic they could be anything right and then you decide to make something called c this happens in comic books a lot mad scientists do this right mad scientists come along and say wow i really like this trait i really like this trait and i really like this trait i'm gonna take these three and make c what is c who knows what c is what are these guys if you combine these traits right and make up c does that mean what these three traits of a and b the dominant traits or whatever the traits were that you're interested in do they really make c powerful and are they able to work together right do they make what you thought they were gonna make or is this just junk right critting all the godsets building muscles right really that's what this is all about that's what factoring is for us we take functions we break them down to smaller functions right f of x could be made made up of g of x oops let's put the arrow down properly h of x and h of x could be k of x and m of x that's what they're made from well analyze these functions individually and see if you can use them right it's cool stuff that's what factoring is that's what factoring is in mathematics and that's basically goes into personal life choices you know what have you what have you done investing what have you done in your life that worked out well break it down first of all why did it work out well was it just luck or was it because of all the factors in play it's cool like once you once you get a math perspective on everything it it really opens up the world it really does factor in the wind bojo master factor in the wind indeed snipers video games right crosshairs here's a dude here's a dude laying down oh my god i'm such a horrendous drawer this is this is his skull his scope with a gun shooting factor in the wind if the wind is blowing this way you fire this way the bullet goes right that's bad physics by the way factor in the wind factor in the wind i'll take down my scribble of horrendous drawing right that's one of the things i like if you're a teacher nowadays or educator nowadays uh you're going to encounter a lot of students that are gamers i do anyway and it's so easy to convince gamers to learn mathematics the trick is to keep them at it i was laughing too hard maybe i'll make nfts out of it oh my god taking critting has math factors water intake and salt in increase in diet an important factor in uh critting the levels yeah cool and by the way bodybuilding is 90 percent mathematics 10 percent discipline ah let me rephrase that no maybe not oh my god what percent of it would be what 50 percent mathematics um 50 discipline mathematics plays such a ridiculous role in every aspect of your life if you really apply it to whatever discipline it is that you want to do that once you do it that way if you can't go back like it doesn't make sense right Catholic traditionalist how are you doing and thank you very much for the twitch prime sub appreciated brother hope you're doing well man hope you're doing well hey crosshairs void mc mic here's a fun factoring and counting math problem determine the number of divisors of the integer petoink hint use prime factorization yeah let's write it down also wrought 13 algorithms wrought 13 algorithms i don't know wrought 13 algorithms about right 50 50 elder god mathematics and discipline 4,312,440 4,312,440 what's the best way to split the sub game what's the best way to split the sub a lot of people go divide by two nope i wouldn't divide by two i decrease it by a factor of 10 right take this take this if you see zeros here take up to one side one zero you go like this if this was two zeros you go like this three zeros you go like this right if you if you're trying to break up integers and there's zeros at the end take those down to one side as tens right that way you just lower it by a factor of 10 catholic traditionist pleased to be able to find some time to make a live stream even more pleased that it is a mass stream awesome catholic traditionist nice to have you you haven't been on a mass stream for a long time by the way 80 to 20 if you want to lump up you've got to have a program based on math yeah yeah i had a friend i watched a friend and the reason i know this is because i watched a friend go through it right i watched a friend that i knew in high school he was out of shape right he went to you know he won't carry me sharing because he knows me right and he's proud of what he did but he went through you know some hard times um in life right you know those divorce and stuff like this and he came out of that pretty in pretty rough shape right but what he ended up doing is he bunkered down and started reading reading um fitness magazines and elder god i don't know if you read fitness magazine but fitness mat magazines and we would go to the beach together he was one of my beach partners right i bring my books math books and lay out my book list math things that we would do in a clothing optional beach right sit down lay stuff out read books and do this and lay everything out and he'd be reading his fitness magazines right and he'd be taking notes and stuff like this i watched this guy go from being overweight pot belly like this this within four five years he was competing in a bodybuilding contest and he won his category right within five years six years five to six years his pot belly went in his muscles went boom right he was symmetrical and he'd be he would read some of that stuff to me oh yeah juju look at this you have this much protein this much salt you do this uh this is this this is like it was total chemistry right total mathematics and i went to school high school with this guy and he wasn't an academic person but he found something that was so passionate about right that he was applying math he was drawing charts graphs i've never seen this guy do graphs and charts in school like literally like what the f right he was laying stuff down and plotting the dots of what he's been lifting what he's been eating how much calories he's been consuming what he's been burning off amazing amazing amazing right five thousand five thousand calories seventy percent protein twenty percent fat ten percent carbs is my standard call catholic traditions tracking mac macronutrients managing uh caloric deficit sets reps from progressive overload responsible supplement consumption body composition all good applications of math and bodybuilding yeah and i would i started going out to the gym with him by the way and he showed me a lot of stuff in the gym and how how the routine was and he would one of the funniest thing he would do he would do this first of all recommendation dates almonds if you need a snack when you're lifting weight you need to feed those muscles speedy gonzalez style you need sugar carbs and protein to be delivered fast to your body right he would take walnuts and dates and um and almonds almonds walnuts and dates he would say that's one of the best snacks you could have he also had supplements and proteins and stuff like this right but he would go in there and he would go he was pretty hardcore about it he would sometimes he would do some cardio but he would say chicho i don't i don't go run on the treadmill for half an hour to do cardio i do my weights or cardio he goes i don't i don't sit there and you know do a set of reps and take a five minute break i do a set i go hit the other one i go hit the other one i do it i do a circuit with the reps and within 20 minutes he was sweating right his muscles and he wasn't doing heavy weights at the beginning right he'd do the weights he'd do the reps where you're doing the posture correctly you're basically prepping your muscles to be able to do the weights right so he would do a round of his circuit his weights what he was going to do he he switched between upper body and lower body right you got to work the legs gang if you're doing weights you got to work the legs if you're not working the legs you're being foolish when you work your legs you're giving 20 more pump to your body right 20 more effectiveness in your bodybuilding uh when you do when you do legs then when you don't right so you got to do your legs and he would switch up and within 20 minutes he was warmed up he was already getting sweat and then he would start hitting the heavier weights fantastic weight to look at it right and a lot of the body work he would do was um he would say look you won't you walk into a gym if you want to know who's capable of doing power moves you watch the people who are able to do chin-ups pull-ups those people who can't do pull-ups useless pull-ups that's what you're working towards you go into the gym even if you can't do one try it out go into find the equipment where you get a little assistance in doing pull-ups include pull-ups chin-ups in your routine and push-ups as well right are you still lumping up so much math tool should should be playing right that tool should be playing right now tool is pure mathematics in their music right pure mathematics back to this you want to break this down you want to break this down so we broke this down what's on this side is the rest of the stuff four three one two oops we don't need this four three one two four four right break it down so we just took it from four million in from the millions down to the hundreds of thousands pull-ups and weights on my leg thanks bad man how do we break this down this is even you can break it down with two breaking up down with two is fine but if you could break it down higher number it makes it easier to break it down later right every herd uh every herd mathematics by ever heard math oh yeah mathematics by dude mathematics by most that i took that track and i cut it into one of my math videos let me show you which one one of the first math videos i put out let me show it to you i'm proud of that one uh which one is it the real number set i believe here let's go in here let's go content real number set real number set there it is i think this is the one that has mathematics playing with music this is a video if this video is blocked yeah this video is blocked i believe this is most stuff playing the beginning here let me see let me see let me see let me see let me see i'm just gonna do a search i hope i'm sure what it is wait wait yeah this is it check this out it kicks in hold on it kicks in you'll see what's playing the music begins at 222 i put this video out on 2007 right i put this video out on 2007 mathematics it's all mathematics right that's the third video i ever put out in regards to math creating math content okay and i cut it to most devs mathematics at the beginning and the music kicks in around 220 okay should have been 420 but 220 it is uh supreme leader of twitch what sort of math are you doing here i'm a total new with uh probability and base law which i happen uh to have to study but i feel like the teachers aren't explaining very well yeah base law i gotta remember base law is base law the normal distribution is that the normal distribution 62 people doing mathematics awesome base law if it's the normal distribution we can go over it by the way okay this guy you can break it down with 22 it's even so two goes into it right we can use a calculator you can do it by hand i would use a calculator for numbers like this right but what is this breakdown into should we do long division let's do long division might as well practice long division right four three one two four four two goes into four twice four subtract you get zero bring three down two goes into three ones two subtract one bring the one down two goes into 11 five times you get 10 minus you get one bring the two down two goes into 12 six times that's 12 subtract you get zero bring the four down two goes into four twice that becomes four minus zero bring the four down and then two so two goes into that two one five six two two right easy peasy do it again it's even two what does this break down into can you do it in your head 215,622 I would say it's 100 and let's do it by hand right let's do it by hand or we can do it with a calculator but let's do it by hand again until we get to numbers that we can do that don't have the odd numbers in there with the two two two one five six two two gang learn how to do long division it's worth it okay a solid understanding of Bayes Bayes is critical understanding problem statistics so catholic traditions is Bayes law the normal distribution is that what we're talking about oops not two one two subtract zero one two doesn't go into one you goes in zero times so bring the one bring five right two goes into 15 seven times you get 14 subtract you get one bring the six goes eight times 16 subtract you get zero bring the two that goes once and then you bring the two that goes once so two goes one zero seven eight one one right supreme leader of twitch well I'm being taught Bayes law in another language so it's a little hard to understand the English term I gotta look it up Bayes law but this is the formula provided under the chapter okay I gotta look it up your links don't show up supreme leader just because only me and uh mods can Bayes law for you only me and mods can uh oh yeah conditional probability that's what you're doing conditional probability yeah yeah yeah if Bayes law is this the conditional probability probability of a occurring given b is equal to probability of b given a times the probability b given a times the probability of a divided by the probability of b okay that's the formula for Bayes law is that the one we're talking about uh supreme leader we go do you ever use the horizontal and vertical lines for uh multiplication horizontal and vertical lines for multiplication I don't know I don't know what that means horizontal and vertical lines is that the box what you're doing yet no I'm old school I do it the old school way do you guys like comic books in the stream I like comic books here right now right now I'm reading um I finished star man number 12 okay this is from 19 uh when did this come out 1990s so I'm reading I just finished this one star man number 12 it's a three-parter and I'm gonna read sins of the child this is sins of the child part one sins of the child part two sins on the child part three of five and star man number 13 and then number 14 right always reading comic books star man is really good star man is really good for Bayes through him it is helpful to understand uh uh set theory mc mike do you ever use the horn no I don't know about that one is there anything in the world that math can't solve uh yeah there's we can't do division by zero division by zero the universe explodes all right it seems like that's the formula yes I'm impressed by you knowing it like that well I looked it up I looked it up but I I knew this I just wanted to know which one it was right I've never been able to remember that formula so it's it's just think of it as conditional probability what's the probability of this occurring if you already know this has occurred right and sometimes it doesn't change the probability at all for example here here's a coin right here's dice right one two three and here's heads and then tails on the other side my question to you is what's the probability of flipping a tails knowing that a three has you've rolled a three on a die right so you've taken a you've rolled a three on dice what's the probability of rolling ahead well the probability is still 50 so if these two guys are not related there's no link between them base theorem just becomes the probability of whatever the original event was if they're related then you have to look at the probabilities and see how they're related right and it it can become difficult I agree with you it can become confusing it can become confusing star man he's talking about the method they use to teach Canada King live I think finger round is talking about the method they use to teach multiplication to grade school kids in a lot of the Asian countries no I don't know it can Canada and Kevin Kevion I don't know that one the horizontal and vertical line thing well and Catholic tradition says well math cannot help me determine what my wife would like to eat for dinner I maybe could have probabilities right look at past me as I elder god pot and chimes in look at past meals do a probability chart for my favorites and there could be mood and whatnot related to right comfort food comfort food is always good bojo master what's the most you ever lost on a coin toss a hundred dollars I I've had there's been times where we're flipping coins for a hundred bucks a pop okay on one flip it was just between friends nothing too serious even though it got serious Cheryl you could try catheter but it may yield unsanitary results Cheryl says your partner might say what are you doing treating me like a probability probability data set what the hell that is far too rational approach to have any chance of success haha Kevion if I try and use the calculator on my computer to divide by zero what will happen will it break something my computer explode well your computer says error it can't compute it's too big it's it doesn't happen I really struggle with math in school and that's because our education system bojo master education system completely sucks and in regards to dividing by zero take a look at this thing here what's one divided by one and then go one divided by zero point one and then one divided by zero point zero one and then one divided by zero point zero zero one and continue this process and by the way I think the third video I ever put out was talking about this right continue the same process until you get one divided by zero point zero zero zero zero zero and just continue it on continue it all one you're gonna get a huge number huge number right and when you get that huge number consider this what if this was zero one divided by zero just becomes it explodes okay now if you want a video talking about this this and this is one of the questions that zero boom let's see if it's gonna pop up as one of the um language let me bring it up zero language oh come on okay I gotta go to my playlist and grab it language of mathematics check out this check out this video right now when I put out this video there's a reason I put out this video right to answer your question about regarding dividing by zero but this video is one of the math videos that gets the least amount of love from mathematicians right people that know mathematics because their comments was chico you can't do this this is wrong right like literally they would say you can't do this this is wrong but they don't they fail to understand that this is a video to answer to deal with a problem that some people have and our education system has in regards to dividing by zero okay so there was a lot of haters that came on there oh this is wrong this is wrong this doesn't make sense math matters because you can't cross multiply this thing and this thing because if you do this one divided by zero I did this equals infinity right and they said infinity is not a real number well infinity you can think of I think of infinity in two different ways I think of infinity is counting forever right forever forever okay and the other way I think of infinity is the universe explodes universe explodes right and what I ended up doing with this in that video I said cross multiply this up that goes up there that goes up there so one divided by infinity is zero right one divided by the biggest number you can think of is approximately zero people are like oh you can't do that you can't do the cross one because infinity is not a number blah blah blah I'm like dude you guys have never taught high school mathematics you guys are talking about mathematics at a university level dealing with calculus and stuff like this when you when people are trying to wrap their heads around the concept of dividing by zero it is important to break it down to something simple like this to show people what the problem is so take that video with a grain of salt but it really does a good job at explaining why we can't divide by zero okay let me kill this guy too right Felix how you doing welcome welcome to the live stream I love the stream laugh out loud thing around I love the stream math comic book crystals teacher sharing with us what he loved indeed then that's my main thing that has been on that's the whole bunch of child at the beginning oops if you try and use the calculator yeah yeah I really struggle with math in school yep supreme near to which I see so in your given example of the coin and da a dice what if I asked I asked what is the probability of throwing a dice and a coin and the dice landing on three and the coin on tails would that be yeah so that's the way it would be the probability if you're doing probability of two events that are not related right and what's the probability of them occurring together then probability of rolling was it a header thing you said coin tails so the probability probability of tails on a coin is a half probability of rolling a three is one out of six right one out of six so the probability of rolling a tail and rolling a three is going to be these two guys multiply together times one out of six which is one out of 12 right yeah that should be it unless I'm mistaken I've been watching your content for years but only now come to join you welcome welcome hinden adam hinden thank you for joining us on twitch for the live streams appreciate it oh my god I calculate potatoes have an 80 percent chance of being successful funny funny coding cormac no country for no country for old men haha bojo master sweden's cool could you help me understand the bends certerium I don't know that I gotta look it up I don't know what that thing is what's up to joe philix philix superhero twitch mc mike try writing a tree diagram in the first step write down six branches to represent the outcome for rolling dice yeah and that's the way you could do it as well are we doing it together because the tree diagram is like this for a probability distribution right so let's assume you toss the coin first right so coin you toss the coin a head and a tail so probability of a head is fifth one half and the probability of tail is one half and then you're going to roll the dice the dice and a dice right so the dice has six possible outcomes right one two three four five six and one two three four five six so on the first roll if you roll ahead you go to the dice and then each one of these is one six probability right one over six let's put it here one over six one over six they're all one over six right so you could do this if you want to find out what the probability of rolling a head and then rolling a one two or three you would go okay the probability of rolling a head and then a one two or three well probability of a one is a half times one six one one over six probability of a two is a half times one over six probability of a three is a half times one over six this is one over 12 this is equal to one over 12 and this is equal to one over 12 and then you add up the totals you would do it over here you add up the totals at the bottom you get 3 out of 12, which is equal to 1 over 4. So there's multiple ways you go about probability distributions and stuff. I want to keep on reading MC Mike's reply. MC Mike, try writing a tree diagram in the first step, write down six branches to represent the outcome for rolling the dice. Yeah, and you could flip this around. You could say dice first, 1, 2, 3, 4, 5, 6, and then heads or tails, and that would probably be better because you write down the higher branches first, that way you only have to do it once, and then the lower two branches. And then for each branch, there are two branches to represent the outcome of the coin toss. The total paths represent the sample space S, then count the number of events you need. Yeah, Chichou makes math interesting. I like calculating, but just struggle, and everybody else here too, like the contributions, there's people here that know mathematics way better than I do. Like the Catholic tradition, this is one of them by the way. It's like bad math. I never got taught that in school at all. They suck, man. Our essential education system is so bad. I just remember anything divided by zero is zero. No, anything divided by zero is the universe explodes. You can't divide by zero. It's a limit. King Canada Live, Chichou, I just looked it up. The intersecting line method of multiplying you have not heard of is colloquially known as Japanese multiplication. Okay, if you're curious at any point, just search for that term. Okay, Japanese multiplication. I think that's the one where they line up. Oh, God. I probably looked this up like 15 years ago or something like this, where they line up the numbers and then they go diagonally or something like this, right? They go like this. I think I don't know. There's some kind of wacko way like this. I think it's going to be multiplied together. It's not going to be plus a half plus one six. It's a half times one six. If you got an orange and you need to divide it into zero pieces, then you get zero pieces. If you got an orange, you want to divide it into zero pieces. Okay, let's see. If you have an orange, you don't want to divide it into any pieces, then you just have a whole orange, right? My brain can't understand. Yeah, I think you're thinking about it the wrong way. You're posing the problem in a way that it's flawed, right? The question has to make sense. That's one of the reasons sometimes there are no solutions to certain types of questions because the question is flawed, right? Supreme Leader of Twitch to MC my thanks. The tree diagram method is definitely interesting. First time I heard of that, thanks. If you divide an orange into zero pieces, doesn't that mean you have one piece? Yeah. If you divide by zero, but you're not really dividing it by zero. That English doesn't translate into mathematics, right? You're saying I have an orange and I'm not going to break it up. That's what you're saying. But you're saying I have an orange. I want to divide it into zero pieces, but that doesn't make sense. That doesn't translate into mathematics, right? So you have to be careful translating between one language and another language, right? So translating between English and mathematics and mathematics is a language, the translation doesn't work, okay? There are words that in English have no meaning in Armenian or Farsi or Latin or French or Mandarin or Cantonese or Russian or whatever it is and vice versa. So you have to be careful in that translation, right? Bojo Master, are numbers numbered or limitless? Is zero an actual number? Sure. I have zero dollars on me right now. I don't have any money in my pockets. And it's the unit that matters, right? And gang, don't forget. Free Assange, Free Assange, Free Assange. Julian Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capitalist power to humanity. For more information, see wikileaks.org, defend.wikileaks.org, or our Julian Assange and WikiLeaks playlist on censor 2. Catholic Traditionist, Chico, Leben's criterion is used to show that a certain class of alternating series is convergent. Now, check this out again. This is how while Catholic Traditionist knows his mathematics, and for me, he knows it better than me because I would have to translate what he just said, right? So Leben's criterion is, okay, so is you can translate into equals, okay? So Leben's criterion means, or is, used to show that a certain class of alternating series is convergent. So what that means is this, and Catholic Traditionist, correct me if I'm wrong, okay? This is what I'm understanding. It's basically saying this, you have a set of numbers. I don't know if it's alternating series or is it going to be, and it's a series, so they're added together. So there's a difference between the word sequence and series. Series means they're being added or subtracted together. Sequence means there's a comma between them, there's a set of numbers, right? So point, point, we're just going to do plus. It means these numbers converge to an actual number. So there's going to be a number here, okay? If it's divergent, it means these set of numbers, series of numbers, would not have a sum. This would be infinity. That would be divergent, right? Is that correct, Catholic Traditionist? John S. 99, thank you very much for your Twitch Prime sub. What's going on? We're doing math, undefined. What about zero divided by zero is undefined? Zero divided by zero, it depends on the type of function, but zero divided by zero is undefined unless there are certain parameters in relation to those functions that if the top is a function, bottom is a function, it's a limit you're talking about, right? I got to find out it is undefined as well. It is undefined. Yeah, zero divided by zero is undefined. Thanks. That's totally it. It helped me learn visually. You can get it live. That's the one, Japanese multiplication. I got to look that up. Supreme Leader of Twitch, what is the difference between a half plus a half plus a half and a half times a half times a half in the context of probability? When you're multiplying them, the events have to be concurrent. They have to occur back to back, right? If you're adding them, it's the total sum of the events, all the probabilities added up. So when we went this way on the tree diagram, when we drew it going, those are the events happening together. You're doing one experiment. Oh, no, because the other one, the whole thing could be one experiment, but basically they're occurring together. And then when we added it up this way is the total sum of those events occurring together, right? Probability of that whole system, what's that thing happening? I'm not sure if I'm explaining that properly or should plus not be used at all. No, you can use plus. We added the stuff when we went down, right? 112 plus 112 plus 112 plus 312 equals a quarter, right? Not to be used at all. In the beginning, my intersect was to use plus. Instinct was to use plus, but my teacher told me to never use plus. No, you can use plus, but it's multiple probabilities you're adding up together. You use plus. If you start at zero, you don't need to travel. I have zero dollars. Yeah, I noticed you put the division in there, so I didn't read that. Technically I have negative dollars. Most people have negative dollars. Or let's rephrase, they owe money. It's not negative dollars. It's not realized yet. Bojo Master, I've got an orange for my walk in a bit. I've got an orange for my walk in a bit. A walk will help my brain process all this. Yeah, I gotta know. Oh, you're going to take an orange with you for your walk. That was confusing me. Nice. Oranges are delicious. MC Mike, too. Supreme Leader of Twitch. Yeah, you could also use set theory to solve that too. So there are three basic operations, intersections and union or and difference, subtraction. For your problem, let A represent the event that died lands on a three and let B represent the coin lands on heads. The probability is the number of events divided by the number of possible outcomes for each. Then take the intersection and multiply the fractions to get the probability of getting a heads and a three on the die. In fact, all of mathematics can be expressed in terms of set theory. All of mathematics can express in terms of set theory. Really MC Mike? I never thought about it that way. I need to do full blown review of my probability. I've taken pretty hardcore probability courses at university, but I've forgotten the majority of it. Swagboy Flex is a good way to get started with proof is to write proofs for basic arithmetic operations first. Yeah, start off with the most basic stuff first and understand the different types of proof. Proof by induction, proof by this, proof by this. For me, I'm not very good at proofs, tell you the truth. Because there are certain assumptions you have to have for you to begin the proof and where you're going. So there's a lot of ... what do you call it? You set your parameters at the beginning. Supreme Leader of Twitter, MC Mike, thanks. I had to take a moment to translate some of the terminology used since I normally learn all of this in Dutch, but it's still useful. Awesome, awesome. MC Mike to Swagboy Flex, what kind of proofs are you working on? Have you looked into basic formal logic? That would be a good start, but also different proof strategies. Yeah, I direct method, contradiction, contra, position, induction. There's so many different types of proofs. MC Mike, no, I just got a book on discrete mathematics. I guess I should learn math logic first before I learn how to write proofs. One of the best ways to learn proofs is just to do the terminology and the symbols used. So you don't have to drop your discrete mathematics book. You can keep on doing that, but learn some of the basic terminology of proofs first. Not first, but at the same time. Catholic tradition is to MC Mike. The fundamental position to set theory holds in mathematics is mind-blowing. Really, I gotta get into set theory. I gotta get into set theory. I understand. I'm officially lost. Oh my god, me too, to a certain degree, depending on the proofs they're talking about. It's all the terminology. Not too lost, but it's not. I would have to find the definition of some of the words. Communication, Bojo Master. But reading people is my math power, haha. And gang, don't forget. Free Assange, Free Assange, Free Assange. Julian Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capitalist power to humanity. For more information, see wikileaks.org, defend.wikileaks.org, or Julian Assange and Wikileaks playlist on Sensor 2. Swagboy Flex. So MC Mike to Swagboy Flex recommends starting out with Centennial and Quant, Quantificational Logic. Learned logic operators and quantifiers. Example, there exists, and for all statements, either you'll use deductive reasoning or inductive reasoning proved by mathematical induction. So it's the terminology then, if, if, then, and the other stuff. I'm not very good at that stuff. I love, like the, I love tree die around the tree stuff, true and false stuff. MC Mike, I'm currently doing discrete math right now. So we cover number three, logic set theory, function, and relations counting and probability, and finite state automaton. Oh, wow. If there's something specific I can help out with, let me know. Awesome MC Mike. Serious brain power there. Leader of Twitch. So this is an example, probability question I'm trying to solve. The chance of having a girl baby is 49%. And that of a boy baby is 51%. What's the chance that a family of three children is made up of two girls and one boy? Here, check this out. Let's do this. We ended this one. We'll leave that out because this is just a tree diagram. Supreme Leader of Twitch. How would I go about solving such a probability set? You do it like this. So child number one, number one. Let's write it out so we understand it. Child. Child number one. So child number one girl or a boy, right? The probability for a girl is 0.15. The probability of a boy is 0.4, right? Is that true? Girl, yeah. Oh, no. The other way around. Oops. So girl baby is 49%, but boy is 51%. So this would be boy. This would be girl. Okay. I'm going to kill this guy. Gang, for this one, you would just break it down. And you can't divide by two anymore because this is a one. So you would have to find an odd number that goes into this because two is the, two is the only, and this one would be two and five, right? And then two is the only even prime number and you're going to look for other primes that go into this. So you do the prime and you're going to do it with the calculator, right? Let's do this. So the next one, one. You can have a boy. You can have a girl. You can have a boy. You can have a girl, right? Again, the boy is 0.51. The girl is 0.49. The boy is 0.51. And the girl is 0.49, right? I can actually do this question officially back. Oh my God. I got to go have a good rest of stream. You too, Melzi. And then the next baby, next kid is boy and a girl again, right? 0.51, 0.49, boy, girl, 0.51, 0.49, boy, girl, 0.51, 0.49, and by the way, you could do this by laying it out in what do you call it? The power stuff you can use. And then your question is this, right? So I'm going to read the question again, right? From Supreme Leader of Twitch. Answer this question. The chance of having a girl baby is 49%. And that of a boy baby is 51%. What's the chance that a family of three children, so we got three children, one event? Oh, sorry. One event? So that's your first kid. This is a child number one. This is parents. Parents, right? So this is a child number one is here. Child number two is here. Child number three is this column, right? So what's the chance that a family of three children is made up of two girls and one boy? Right? So I'm going to do this in red pen. So two girls and one boy. So let's assume you go down this road first. You get your boy first, right? Here, let's do it this way so you see. You have your boy first. And then the next two kids have to be girls because you want two girls, right? So then you would have to go girl. Your second child is girl and girl, okay? So if your first kid is a boy, you have no choice than to go girl, girl, right? So this would be 0.51 times 0.49 squared. Let me write this down better. So this one, the outcome is 0.51 times 0.49 squared. That's not that much better, but it is sort of, right? Now, your next avenue you can go. Your first kid can be a girl, right? If your first kid is a girl, and your second kid is a girl, then your next kid has to be a boy. So over here, the probability is 0.49 times 0.49 times 0.51. So 0.49 squared times 0.51, right? Now here's another avenue you can take. If your first kid is a girl, your second kid could be a boy. You don't care which one it is, but your third kid has to be a girl because you're looking for two girls and a boy. So then you go down this one. So over here, you got 0.49 times 0.49 times 0.51. So 0.49 squared times 0.51, okay? So what we have right now is there's three different paths for this family, these parents, to have two girls and one boy. And these are the paths that you have. And what you do, you add those up. So you have the total probability, and this is where you add them, right? And if you're adding them, all three of them are the same. It's 0.49 squared times 0.15, right? So all you would do, you would go 0.49 squared times 0.51, add it together three times, or just multiply this by three. And that would be your answer. Okay, is that clear? That's the way you would do this problem. And the problem is the chance of having a girl baby is 49% and that of a boy baby is 51% was the chance that a family of three children is made up of two girls and one boy. The tree diagram works for this. Is that clear? Swagboy Felix, the MC Mike, thanks. I enjoy these streams because everyone here is trying to either learn or solidify their knowledge on some form of math. Yeah, me too. That's why I like them too. MC Mike, Swagboy, Swagboy, you're welcome. I know what you mean. I started watching Cheecho when I was upgrading my math to get into university. A couple of years went by and he was one of the people to inspire me to go further in mathematics. Ah, dude, serious, really like. Awesome. I love the live streams for the same reason. Happy to help when I can. Awesome, MC Mike. That makes me happy, man. Awesome, awesome, awesome. Awesome. The tears to Cheecho's eyes. Another mathematician into the wild. Fantastic, fantastic, powerful. Hey, Mike. Supreme leader of Twitch. Oh, wow. That's a very nice and clear visual explanation. The teacher never explained in this visual way, but now I feel like I actually understand this. So basically, I just made the mistake of only considering a single path. Yeah, basically. Very interesting. My pleasure, Supreme leader of Twitch. And by the way, I'm pretty sure this is correct, but if I'm wrong, please let me know anyone. Okay. And there is this level of mathematics. You can do it with the tree diagram, but if you have a lot of path, then you got to sort of apply this. You come up with proofs, formulas that do this thing without you really having to draw it. And you can come up with equations to do more complicated stuff, right? Numbers. Yeah, numbers, the TV series. Yeah, yeah. That's really good. I like that as well. Swipe. Swipe boy flex. MC Mike. Same. I watch his YouTube videos back in the day where he would explain how to study math. I thought I was never a math person, but I bought a book on pre-algebra shortly afterwards and worked my way back up. Now I'm about to take Calc 2 and cause awesome Swipe boy flex. Fantastic. Two mathematicians in the wild. That brings happiness to Chico. Fun. Fun. Yeah, the number series is really good. I watched some of the episodes a long time ago. I haven't watched any of their episodes recently. Just been engaged with other things, right? What's fantastic? Guys, you guys made me happy, man. Mathematics. Fun. Fun. I hope you guys are on a fantastic Monday, by the way. And by the way, Super Junior of Twitch, I'm amazed that your teacher didn't give you this visual. That really sucks that your teacher didn't give you this visual. Why wouldn't they give you this visual for considering different paths? It's a no brainer. This lays it out properly. Right? Pause online notes for good Calc 2 practice problems. Cool. Cool. Pause online notes. I used to use, before online stuff, I used to use a lot of books that had different types of problems you could do. I still have a lot of them. All of them, really. For me, gang, by the way, I collect comic books, but I have a lot of textbooks as well. It was rare for me to get rid of math textbooks. I end up using a lot or reference them a lot, used to anyway. Supreme Leader of Twitch, yeah, she just started by doing math formulas, and I have a very hard time understanding what was actually going on with those numbers. Yeah. Look, mathematics, one of the reasons mathematics came to be was because of visualizing. People were seeing things happen, and they're trying to understand it, and they came up with the language to try to understand something that they were seeing in real life, like a visual. Right? Maybe back in the day, people seeing stars do this, and then there were these seven things that didn't follow the pattern of the rest of the stars. Right? Mathematics is extremely visual. It's very unfortunate that they don't really focus on that. Right? Bojo Master, if only the world could be saved by math equations, it can be. We just have to make sure that everyone is literate in the language of mathematics, because one of the most powerful, powerful aspects, one of the most powerful things that mathematics teaches you is it gives you the ability to have a very, very fine-tuned BS detector. When you see BS coming your way, if you know mathematics, you can call it for what it is, way better than people that don't have a good math understanding. Right? Because mathematics is about logic, is about finding patterns, understanding the data. When the data is flawed, mathematics can save you money, pain, heartache. It can save you your life. Okay? Ridiculously important. Ridiculously important. Oh, my God. I got formulas in school. It was just cold, hard, emotionless numbers. No charts. Oh, unfortunate. Unfortunate. Gang, by the way, thank you very much for the follow-ups. Apologies if I'm not catching them. I'm just... When I get distracted when I'm doing mathematics, I make silly mistakes. Right? And that's one of the things I advise you to do. If you're working on a math problem, don't take your eyes off the problem. Don't take your eyes off the prize. Right? That's when mistakes happen. That's when you drop a sign. That's when you forget to do a division or add a number, do a multiplication. Right? Or drop a bracket. The wondering stars. The wondering stars. If the formulas wouldn't that be cold, hard letters? Yeah, letters and constants. Right? Supreme Leader of Twitch, thank you very much for the tier one stuff. You're a great math teacher. I thank you. I appreciate it. I've worked hard at it to try to help out, really. It's not that my math is extremely powerful. It's just that I understand the struggle. I try to relate. I try to have empathy with people that are trying to learn something because I've gone through it myself. Right? And I still go through it, trying to understand certain aspects of life. Right? The Fubonichi sequence. Awesome. I love the Fubonichi sequence. I put out a couple of videos on the Fubonichi sequence in relation to the mathematics of art and design. Do chicho and Fubonichi sequence in the golden rectangle. And you'll see two videos I put out with a friend of mine. One of them was building a golden rectangle from the outside in and the other one's building the golden rectangle from the inside out, which is phenomenal. My friend, that's Dirk Marwig, where we looked at his mathematics of his art. He builds it from the outside in because he's using a canvas to superimpose the golden rectangle into his art. Right? So he had a limit that he had to work with. For me, I work from the inside out because that makes more sense to me. Right? Visually, it's more appealing to me. Right? MC Mike, the swag boy flex. Maybe I can link up some of my calc two notes to the discord page. If I can. Oh, for sure. MC Mike, please do. I've basically got notes for calc one, calc two, three, linear, algebra one, two, some discrete, currently taking probability courses and differential equation, RN. So when those are done, I can link up those notes later too. Maybe we should, you know what? I'll look into creating a separate main math folder as well where people can share their notes because I'm going to be building my own notes in there for the different modules. So MC Mike, message me on discord and I'll hop on it. I'll create something, see what we can put together. This is struggle, but it's fun and a lot of beauty learning mathematics. It is indeed. Dr. Hengmathan just came. Not sure if you have time, but I got one that seems related to the one on the board. I have not worked through it though. Two players A and B, A has $1 and B has $2. In a game, each round, the winner gets $1 from the loser. A is better than B. So A has $1 and B with a chance of winning equals to two-thirds. Game ends if one is bankrupt. What is the probability of A winning the game? Yeah, that's basically this. That's basically this, but it seems a little bit more complicated because as soon as A has more money than B, then A is going to win. Oh no, not necessarily. Putin-Rosser, how are you doing? Is this graph theory? This is a probability, just different branches. Probability of this probability is, we can do that one as well. Hengmathan, let me erase this. I think that can be done this way as well. Should be able to. So the game is this, or the question is this. Does Calc 2 knows really include? Is this graph theory? I'm just going to make sure there's nothing else. Hey, Chicho, we'll do. Awesome, MC Mike. Thank you. You look like Cersteca. Do you know her? Do you know him? I wrote an article, Do Chicho? System of a Down Review. I wrote an article, System of a Down, back in 2005. Their music. We keep, keep set real. We keep set real. How are you doing? I'm 30 and still trying to master pre-algebra because math is really cool. And I know it answers the questions to the universe, but I feel like I'll never get to the level of asking question of that caliber, let alone answering it. I still want to learn as much as I can. I just find it hard to use it enough in my daily life for it to stick with me to get to the level. We keep it real. Take a look at this. Look, mathematics, the end goal of mathematics is not for you to understand quantum mechanics. The end goal of mathematics is for you to have enough literacy in the language of mathematics to be able to look at certain problems from the lens of mathematics, from a mathematical perspective. That means understanding charts and graphs. That means understanding data sets. That means understanding anomalies. And that doesn't require for you to know extreme levels of calculus or anything like this. It just has to be enough mathematics for you to be able to look at something and go, this looks like this, or it looks like that. This looks weird, or this looks like there's an anomaly here, or this looks legit. That's the end goal of mathematics as far as I'm concerned. Yeah, I remember those now. As much wisdom as much grief. He that increases knowledge increases sorrow or joy, right? Seriously, no, I disagree with that. That's very nihilistic and nichiest, right? It's like, what's that saying that says, ignorance is bliss. Ignorance is not bliss when you're being led to the slaughter. It's good to know if you're being led to the slaughter. That way, you can hopefully escape, right? I'm not sure if people are interested, but down the road, I could compile some material for anyone interested in learning finance and computer programming too. I'm also doing finance with math at uni. So again, happy to share, oh man, we need to create a new whole subsection and discord elder God. As for the problem, where was the problem? Here's the problem. There's two people. Person A, person B. Person A has $1, person B has $2. Person A, when they're playing this game has a two-third probability of winning, and person B has one-third probability of winning. Whoever runs out of money loses. So here's the game. Begin. Begin game, right? So if A wins, right? And B wins, right? The probability of A winning is two out of three. The probability of B winning is one out of three, right? I gotta make this tighter because we're gonna have more branches, right? Let me put this in the center, right? Game begins. Game begins. Let's see if we can do this properly. So we got A and we got B. Two-thirds probability of winning, one-third probability of winning, right? Person A begins with $1. Person B begins with $2, okay? Whoever runs out of money, the game's over, right? As soon as someone runs out of money, the game's over, okay? Now, if person B wins, because person A only had $1, game over. Game over. We're here now, right? When person A wins, then you have, you can play again because person B now only has $1. Here's person A winning again and person B winning again, right? Probability of A winning in is two-thirds. Probability of B winning again is one-third, right? So if person A wins, person B is down to $1. If person A wins again, B is down to $0. A wins. Yeah, this is where the problem occurs, I think. Not sure if people are interested, but down the road, okay, yeah, that one. So this one game over, game over. The issue is this, right? Because if you go down here and then you can play the next round, two-thirds and one-third, right? If this occurs, person B wins, check this out, person B wins. So person A had $1, he had $2, and then person B had $1, he had their back to the original, and then if person B wins again, game over, game over. But if person A wins, then they're back to B having $1 and A having $2, right? So what happens here is this pattern is going to repeat A and B, right? So what happens down the road here? Using this method, you can get an approximation of what the result will be. What was the end thing you wanted to know? Game ends if one is bankrupt. What is the probability of A winning the game? You can get close to it using this method. I don't know if you can get exact using this method. There's another way. There has to be another way to do this, okay? But using this method lays down the problem in a way that you can actually visualize it, right? So probability of A winning is if you go down, because at some point the probability is so low that it really doesn't affect the, it converges to a number, okay? Dr. Skill, hey, I have struggled with the Pythagorean theorem. I don't know if it's the correct name because I'm German. Yeah, Pythagorean theorem is the right angle triangle, right? Let me know what you guys get for this. If you do this calculation, we'll do the Pythagorean theorem right now. I'm just going to put the question out there for people, right? This is, game over would be one-third. This would be two-thirds times two-thirds, two-thirds times two-thirds, which is four-ninths, right? This one would be two-thirds times a third times a third, which would be two-twenty-sevenths. So you can add these guys up so far, right? What was the original question again? Wait a second, what? Game as a one. What is the probability of A, or of A winning? Poop, just A winning. This is B winning, so we don't care about this one. This is also B winning, so we don't care about this one. So, so far, probability of A winning is four-ninths, and then over here again, you can do this calculation, would be two-thirds times a third times two-thirds times two-thirds, and you get a number here and you add that to that, right? And then you do a few more branches. What you're going to find out, it converges to a number. What is that number, right? That's going to be eight-eighty-nines, eight-eighty-first, eight over eighty-one, eight over eighty-one, okay? So eight over eighty-one plus four over nine plus what? That doesn't matter. So this is going to be, here, let's just add this up, eighty-one multiplied by nine, thirty-six plus eight, which is going to be forty-four over eighty-one. What is that? Forty-four over, we need to take a limb or something. Yeah, we need to talk about limits for this. There's no doubt we're doing limits. So we have to come up with an equation, right? So this is saying right now, fifty-four percent approximately, right? How much higher is it going to go? Fifty-four point three two percent, point three two percent, right? So that's the lowest that is going to be. It's going to look like higher. It looks like series. Yeah, it's going to be a series. There's no doubt about it, right? Because that's what this is right now. So it's going to be something along the lines of something plus something plus something plus something and each one of these guys is going to contribute less and less to the total, right? And then you do the limit of this. You come up with an equation, f of x. So limb, you're going to come up with some kind of function as x, whatever the iterations are, approaches infinity, which is going to be most likely permutations and stuff, right? Looks like four times n minus one over three to the power of n for n equals two, three. Who's Julien Assange? Is he a whistleblower? He is a journalist and a publisher. He's the guy that started off WikiLeaks and allowed whistleblowers to release information on the shenanigans of capitalist power. And he's being crucified in UK prison right now on behest of the US government. Okay, very important person, very important person. So the formula that Dr. Hang mentions is this. He's saying the formula goes like this, four n minus one. I'm assuming the start is three to the power of n. Or is that supposed to be four to the power of n? It could be that for n for n equaling two, three or higher. But if it's higher, then the problem is going to go zero all because it's going to contribute less and less, right? So what's going to happen is as the n goes higher, the bottom is going to explode, it's going to become bigger than the top. So the contribution of these guys is going to be less and less, right? Elder God, you got 57%. I'm rubbish. No, this is the lower bound. There's going to be more, because we only went two levels on this, right? There's going to be more coming in from this and this. So for sure it could be 57. It's a sum, yeah, but just eyeballed it. Yeah. Yeah, it's cool. It's cool. As far as Pythagorean theorem goes, let's do Pythagorean theorem last couple of minutes. Nice problem, by the way. Nice problem. Very cool. Thank you, Joe. My pleasure. Yeah, I wonder what the formula would be. I must go where you live. This is the Pythagorean theorem guy, right? Is it? Right. No, no, you got to take off for Pythagorean theorem. Oh, well. I'm in Canada. I'm in Canada. Let me see my, it's okay. I wrote those two books down. I got a PDF for proofs called Introduction to Abstract Mathematics by Keane. Oh, Keane, I know Keane. I haven't worked it out yet. Nice. Oh, where am I live? For mathematics, we do math sessions, not live, wait. Mathematics, we do about two math sessions a month. So, and I do a math session every livestream that we announce sets. I do them in sets. So, we're doing one this week. The odds are the next set will be next week. So, we're going to do another math livestream next week sometime. Okay. You have to check our either Discord page or go to Patreon. And when I have a livestream schedule set, I pin it to the top and you can see when the math stream is during those sets. Okay. This is the math stream for the set that we have lined up for this week. Okay. So, if you check the Patreon page, the next set that I announce, there will definitely be a math one there and you can make plans to be there for it. And I can run you through the Pythagorean theorem because we can expand on the Pythagorean theorem. It's pretty important actually. Okay. Yeah. Dr. Scale, Supreme Leader Trich, quote, an employee works from Monday to Friday. On Mondays, there's a 30% chance of a mistake being made in a project. 30% chat, damn. On Tuesday, Wednesday, and Thursday, there's only a daily 5% chance of a mistake. And on Friday, it's a 15%. That employee should drink less on the weekends. On Friday, it's a 15% chance of a mistake. At the end of the week, there's a single mistake in the project. What is the probability that the mistake was made on a Monday? You just have to do weighted averages. How would this be written into a good and understandable formula? My teacher won't accept it if I solve this with a diagram. It's probability. It's what do you call it? You average it out. So 30% Monday, 30% Monday, next three days, 5% each one, mistake. Oh, 5% for the rest, 5, 5, 5, and 15% on Friday. So Monday, Tuesday, Wednesday, Thursday, Friday. I don't know if I have time to do this. It's averages, yeah. So what you end up doing is, what you could do is just total up the thing. So this is 30, 40, 50, 60. So all of these, you can divide by 60. All right. 60. So this is 50% probability here. This is whatever that is, 5 divided by 60, 5 divided by 60. What's the percent there? 5 divided by 60 is 0.0. So this is 8.3 repeating percent, 8.3 repeating percent, 8.3 repeating percent, and 15 divided by 60. What is that? Quarter 25%, right? 0.25%. So the question is, what's the question? What is the probability that the mistake was made on a Monday? 50%. That's all. Any good entry-level books on logic, understanding it for basic everyday use? C.S. Lewis for logic. Read C.S. Lewis to get an appreciation for logic. It's not mathematics-related, but it's logic-related. Oh, wow. You made a look. I think this is it. MC Mike, is this correct? I'm pretty sure this is correct, if I'm not mistaken. Pretty sure anyway. Yeah, it should be. I love these at school. We were given a calculator, but I always said, how am I supposed to get a bear with machine doing my work indeed? That's it. It appears to be correct. I think so. I think this is it. The method looks much easier, though. Yeah, I don't know what methods they're teaching. Centralized education is garbage. Aside from that, gang, let's call this stream. Fun mass stream went all over the place. Super fun. Super fun. We did probability, which is cool, and there were some mathematicians talking about crazy stuff that we didn't know what they were talking about. That's sort of what we had to do review. Me and I got a little lost, but we got back. We got back in the game. Gang, thank you for being here. Thank you for the feedback. Thank you for participating. Thank you for the questions. Thank you for answering the questions. Thank you for the subs. Thank you for the follows. Thanks a lot. That was fun and educational. Awesome. Supreme leader of Twitch. I'm glad you enjoyed. Me too. Me too. And I think most people here did. So that's super fun. Gang, if you want to know what this is about, I am on patreon.patreon.com forward slash chichou, C-H-Y-C-H-O. If you want to follow this work, which is basically layered on mathematics, this is the core essence of what we're doing. Patreon is a great way to do so. I don't put anything behind paywall. Everything's creative comments. Share and share. I'll like. And for those of you that are supporting this work on Patreon, gang, thank you very much for the support. Very much appreciate it. What is the probability of me having a beer tonight? It's Monday, zero. You're not supposed to be drinking on weekdays, right? Did you break it? Gang, we are live streaming on Twitch. Twitch.tv forward slash chichou, live, C-H-Y-C-H-O-L-I-V-E. If you want to participate in these live streams, Twitch is where you want to be at. And gang, again, thank you very much for the follows. Thank you for the subs. Thank you for the discussions. Thank you for being here. And mods, thank you for taking care of business. Very much appreciate it. Correct. Awesome. Yay. Peace, everyone. Peace. I do announce these live streams 30 minutes before we go live on Mines, VK, Gab, and Parler. And we do have a Discord page and you're definitely welcome to join our Discord channel where you can share information. You can come to our Twitch page anytime you want, type in exclamation mark. Did I write it out correctly? There it is. Exclamation mark social. And all those links will pop up, including our Discord link there. And you're definitely welcome to join us there. Cheryl, Cheryl, you've been listening the whole time, man. So we'll see, we'll see where the mathematics goes on Discord. And for live streams where we don't have any visuals, we do upload the audio to SoundCloud.com as a podcast. And those podcasts should be available on your favorite podcasting platform, including Spotify and iTunes. And we will be uploading this live stream to SensorTube, to Pichu, to Rumble, and Odyssey. For those of you that are supporting this work on those platforms, gang, thank you very much for the support. It is because of the collective support we're getting on all these platforms that we're able to do what it is that we are doing. And I appreciate it very much, gang. MC Mike, when I get some time, I'll try to find a way to add my math notes to the Discord page for math. Awesome, MC Mike. Awesome. And hopefully by that time, I'll figure out how we're going to go about the math channel. We've got a heavy topic, a light topic. We're going to create a math folder. Maybe I'll just create it and then we'll just add the folders as they people requested, right? Yeah, maybe we'll just do that. Simple, easy peasy. Aside from that, gang, if you're around, we've got two more live streams set up for the next two days. Tomorrow night, current events, Wednesday morning, we'll read another comic book. Awesome, awesome, awesome. Aside from that, I hope you guys have a fantastic Monday and I'll see you guys in the next couple of days. How did you become, remain so, remain so fast with the mental arithmetic? Like, you have always much faster, just practice, just practice. I like stats, I like numbers. So, and sometimes I make mistakes, major mistakes, right? Bye, everyone. Have a fantastic Monday. Holy scarlet. My pleasure, gang, my pleasure.