 Hi everyone, this is Chicho and we're in May 3rd 2019 and this is Drop in Math Tutoring session number 26 and I initially started titling these let's do some math open discussion. So we're going to keep in sort of track of how many we've done and we're going to continue doing these. Hopefully we'll end up doing these once a week until the end of the school year which is end of June in my part of the world anyway. So that's what we're here to do and it is an open discussion sometimes we don't get too many math questions sometimes we go off on physics questions and biology and astronomy and astrology and politics, economics and what not but math takes front stage if there's anything that we're talking about during this live stream that is not math related and if you have a math question post a question and we'll do our best to deal with your question and help you out if we can and there's a lot of people all there's some people that show up here that know a fair bit of mathematics their mathematics is more powerful than mine especially in regards to calculus and statistics and some of their things as well right and we're getting a sun peeking out so hopefully we won't get whited out on the board here we might we'll see we have a sort of what do you call it a skylight where the sun shines through okay and we're definitely going to keep this nice and chill we'll see where we end up with these discussions and tomorrow morning from 8 a.m. until 10 p.m. we're doing a live stream on current events if you're if that is what you are interested in okay so if there's some politics economic stuff that show up today in the chat and they're a little deep we might deal with them tomorrow if they're quick or what not if there's no math questions we might talk about them and if there's no math questions I do have some stuff we could talk about and just to let you know I'm going to start creating if you're interested in mathematics I'm going to be starting to create some content regarding early education specifically in regards to mathematics for some reason well I'll just go through ways I go through ways and stuff and I'm getting some requests both online and in my daily activity from people to do some early preliminary sort of the introduction to mathematics how to how to do some simple stuff such as counting and adding subtracting multiplying dividing and stuff like this but teaching it to people that aren't necessarily have entered high school yet or they might have entered high school many many moons ago and they haven't done mathematics for a long time and they want to learn mathematics do mathematics and I've been getting some requests from parents to create content to help them homeschool educate or supplement their kids education in regards to mathematics at home okay so I'm going to start creating some content on that front as well okay aside from that I'm not sure how busy is going to be today it is Friday afternoon my part of world evening for some early morning for others I guess or early Saturday morning for others so we'll see where we end up going spider how are you doing hey chicho so happy to be here excited for the math that I need to I'm I'm doing a fair bit of math like because we're coming to the end of the end of the school year there's Caldeen how are you doing Hannah how are you doing long division of equations long division of polynomial equations sure let's do long division of two polynomials okay let's do it the thing with mathematics at the end of the school year usually in the northern hemisphere anyway in Canada I start getting more busy with students rolling and dabbling up on lessons and stuff like this because we're covering the whole school year right we sort of start review if the kids are up for it early on and cover a little bit more and maybe sometimes try to prep them for the following years to come right so that's sort of what I'm kicking myself into the mode of so I might start actually most likely I will I do need to create some content to send to my students so I'm the odds are I'm going to be starting creating some additional ASMR math videos specifically for preliminary mathematics learning counting adding subtracting and stuff like that right dividing long division of polynomial equations okay let's go down this rabbit hole let's go down this rabbit hole now check this out the types of questions you get are basically doesn't want to take this off so I don't get dizzy okay basically what Hannah is asking is along this these lines right x squared plus five x plus six divided by x plus one right and this guy up top is a polynomial expression and this guy is up in the bottom is a polynomial expression or polynomial function polynomial function it really depends how you write it out right if if I have three cookies and you take two what what do you have I got two I have a math question how many squares make a circle infinite right it has to be infinite and I will take a little deviation right here's a circle how many squares can you fit in here well take it on the limit on one side okay I know it's the lighting it's the it's the skylight hitting me I got one black eye so if we just do one square we have a lot of gaps right empty empty empty right so let's do another square fill it up and it doesn't say your question how many squares make a circle so you didn't specify what size of squares and you couldn't right if you did then there would be a limit because you couldn't go smaller than a certain size right so we still have empty spaces so we could just do another square another square I guess another square and you keep on going like this right and what you're going to find out is you're going to be hitting the edges okay and no matter how small you get if you zoom into this area I feel multiple squares no matter how small you get here's the edge of the circle you're still going to have empty spaces right and if you zoom in here again zoom it in you could go smaller squares but you're always going to have empty squares so it's infinite okay it was a true question squares can't make a circle he's a witch he's a witch it's it's a legitimate question but the answer is infinite you would be going forever doing this right no that's the punchline of the cookie joke yeah you have a black eye if you take my cookies okay again I thought the lighting shows me as a black eye you have a black eye with the cookies well how about if you if we decide to take one and a half each how about if there's three cookies three people come in and each person gets one cookie magic confuses so take a look at this polynomials and by the way what's going on here just so you know okay this guy here you could think of as a function f of x x squared plus five x plus six and this guy here is a linear function which is a line which is equal to x plus one okay so this guy graphs a parabola the f of x this guy graphs a parabola that looks like this okay and this guy graphs a line h of x that looks like sorry why it's just at the one and goes like this that's this guy that's that guy right so we're taking a polynomial dividing by a line and we'll dig into this and once we go through the mechanics of it the syntax of it I'll show you what this all means right a couple more concepts I never understood long division in school no matter how much it was taught to me I was asking mainly because uh curiosity killed the cat cat being me but in in all seriousness long divisions always confuse me I mean be it with polynomials are just two integers thanks for we'll do integers side by side okay so take a look at this I'm going to erase those so we want to do oops here we'll write it again and we'll do mirror integers and polynomials okay so we've got x squared plus five x plus six divided by x plus one and let's say on this side we have integers okay let's draw this on this side we have 27 divided by two okay easy sorry to get off topic but I'm curious would you say teaching in the US uh is better worse or about the same canada um uh it depends which side you're coming from if you're a student uh education system in the US is worse high school education in the US is worse than Canada 15 20 years ago it was much worse than Canada right but Canada's education system has been collapsing they're sort of integrating two systems right so Canada's education system has collapsed in the last 15 years so Canada's education right now is equivalent to US high school education like 15 years ago is is really bad right um in the United States is horrendous okay and Canada's horrendous as far as I'm concerned as well in regards to being a teacher teaching in the United States or Canada I don't know I'm not I don't function in a centralized education system but I know in Canada uh the really good teachers that my students have had they take a lot of mental health days some have some have had nervous breakdowns and some have quit so there's less uh the ratio of good teachers to bad is much lower right so there's way less good teachers now than there was in the past uh the centralized education system is collapsing private education is picking up there's a lot going on there's a lot going on we're asking real questions here like how many uh like does it take to get to the center of it to see oh I'll set three links everything in math class I get a ball so check this out we want to do long division right let's do this guy first integers so the way you like set up your long division is this 227 okay so we're going to mirror it here so you know how this is playing out right so we have 27 divided by 2 so we set it up like this and that's the division symbol do the same here x plus 1 x squared plus five x plus 6 hopefully that's big enough that you guys see it yeah it should be good no sorry I can't do the fundamental theorem calculus I'm not teaching calculus right now so first question you're going to ask yourself when you're doing long division is this does two go into two and if it goes into two how many times does two go into two first question so you're always dealing with the leading number okay so how many times does two go into two and the answer is one so you put one up here okay and what you do this is just an algorithm right you take this multiply by this and put the answer here so one times two is two so you put the two here and you subtract this guy from that guy okay so let me erase these guys so it doesn't get overwhelming so we got this so one times two is equal to two and whatever you put here you're subtracting from the top guy right so two minus two is zero okay let's do the same here you ask yourself what do you multiply x by to give you x squared same same method right what do you multiply two by to give you two one one times two is two you get zero what do you multiply x by to give you x squared because what you want to do you want to start eliminating these first leading numbers if you can or you can get as close as you can right so you multiply x by x to give you x squared so we put x up here and x multiplies this and it multiplies that it multiplies everything here it multiplies all these guys in the bottom right and you lay them down here and then you subtract whatever's here from the top so you go x times x is x squared and x times one is one x right plus one and just like here you subtract whatever's here from the top you're going to subtract whatever's here from the top so we're going to subtract this whole thing from there and the way you think about it is this when you're subtracting this whole thing this is all in brackets right so this is x squared minus x squared and five x minus oh sorry this should be an x my bad what's x times one is x right you put that in brackets so five x minus x is going to be four x now i don't like this bracket deal right i don't appreciate it okay so what you do is what i do is i do this multiplication lay it out here and then i change these signs and add these guys so this is positive x squared this becomes minus and that's positive x so i'm just going to change it to a negative and add because sometimes you end up getting negative numbers i don't want to deal with negative minus and negative okay so what i end up doing is just changing the signs and adding them it's less confusing so x squared plus negative x squared is zero and five x minus x is four x okay let me just read a couple chats just in case i made some mistakes here people will point them out for me no i'm not teaching calculus brother or sister of course right you want the integration i'm not doing calculus right now narnia narnia narnia algebra at least pretend like i can follow what you're saying hey chichu hey nicholas how are you doing are you hyped for some mathematics chichu you're an earth wizard can you prove the earth is round it's easy to prove and it's not it's it's spherical it's it's not perfect circle of course right all you got to do is look at a ship coming over the ocean and if you see the sail coming up you know it's curved right instead of really hard you can learn all of this for two to three years and then completely empty it from your brain well it depends if you want to empty it i don't know if you want to empty it brother this stuff comes in handy i'll show you how it comes in handy okay so right now we have this so you're always asking yourself what do you multiply this by to get rid of this what do you multiply this by now to get rid of this if you don't have now over here let's jump to here so we're doing both going here to here right so right now this is what we've got now in general you don't put that you're zero right i don't put down to zero if it kills each other you just knock it off so i'm just going to knock these guys off right and we've got four x down here now what you do when you get to the next line bring everything down you do it over there you do it over here so i'm going to bring the seven down okay and i'm going to bring the plus six down now you ask yourself what do you multiply x by to give you four x okay and what you multiply x by to give you four x is four right it's like asking yourself what do you multiply two by to give you seven well the closest you can get to seven is six with a two so you're going to in here you're going to multiply the two by three three multiplies the two and comes down here that becomes a six you subtract these you get a one got that so far over here what do we multiply x by to give you four x you multiply it by four and it's a positive four so you're going to go plus four four times x is four x four times one is plus fourth okay and then you subtract this whole thing from that it's like subtracting six from seven now it's minus brackets this whole thing i don't like doing it that way all i do is i like adding better and subtracting i change the size and add so this is minus and this guy's minus and usually when i'm doing it with when it's not on a whiteboard i just cross this out and just go minus right on a pen and paper or pencil and paper right so when you add these guys four x minus four actually kill each other six minus four is two okay that's where we are right now now what do you multiply two by to give you one now once you reach a point where this doesn't go into this this number is smaller than this you're done with the long division if you like you can put decimals in we will but if we're doing polynomials you don't put decimals in right so over here you can't really multiply two by any integer to give you one so we're going to pause there we're going to stop there for now over here you ask yourself what do you multiply x by to give you two well this doesn't have any more x's once you don't have any more x's you have to stop as well okay and the way you express these things now i'm going to show you how we can express them okay because as soon as you reach a point where this number doesn't have any of these numbers in it okay you stop so two doesn't have any x's you stop one is smaller than two so you can't really multiply by two by an integer to give you one this is what you end up getting okay and this is called the division statement to a certain degree when we have this what you can write is this 27 divided by 2 is equal to 13 plus 1 over 2 okay 13 plus 1 1 over 2 right and if you're going to do this if you're going to add fractures here if you want to take a look at it that's over one common denominator is two you multiply that by two 13 by two is 26 plus 1 that gives you back 27 over 2 so what you've really done is rewrite rewrite 27 over 2 as 13 plus 1 over 2 or 13 and a half okay this is equal to 13 and a half because that's a mixed number two times 13 is 26 plus 1 is 27 27 over 2 right over here the way you write it is this you're going to go this over this x squared plus 5 x plus 6 divided by x plus 1 is equal to x plus 4 plus 2 divided by x plus 1 and the expression for this so that it would be too yeah exactly exactly not this evil on toast not all this evil on toast welcome welcome right and take a look at this okay now if we wanted to go from here back to here this is what you would do you would put this over one right so i'm just going to do a little aside here x plus 4 over 1 plus 2 over x plus 1 the common denominator here is x plus 1 right so you can draw your x plus 1 and you're going to multiply the top by x plus 1 so that's going to be x plus 4 times x plus 1 because that's what you have to multiply 1 by to give you x plus 1 plus 2 if you foil this out you're going to get x squared plus x plus 4x plus 4 and then you got plus 2 here right all over x plus 1 yeah and then you combine your like terms that's an x squared that's x plus 4x is 5x so this becomes x squared plus 5x 4 plus 2 is 6 over x plus 1 so you end up getting the original back right sorry if it's a little too small but it's just i can just even read it out just to prove that you get the original back just the same way as you get the original back here right that's how you do long division now let's do something a little bit more complicated because this is just a general gist of it and there's a meaning behind this by the way okay what we just found out is this doesn't go evenly into that which means this is not a factor of that right so for example uh let me erase all these i'm going to leave these two guys up here i'm just going to change these guys up a little bit okay my love map quote so i'm going to erase these guys and by the way if you need to save these and just notes if you're dealing with this at school or trying to learn this on yourself just take a screen capture of this so you have it okay so if we erase this let me modify the original questions slightly so you see what happens right take a look at this what if we made this guy actually let's change the bottoms instead of change that that's 27 let's change the bottom guy to three okay and let's change this guy to a two now just take a look at what happens 27 divided by three okay now three doesn't go into two so you're not going to deal with three and two okay so basically you ask yourself how many times this three go into two you go zero right so you don't you never do this when i'm going to show you the step so you know what's really taking place and then i'm going to erase it right so you ask yourself how many times does three go into two it doesn't it goes zero times so you put zero zero times three is zero right and then you subtract those you get two and then you get seven down right now you're going to deal with the two numbers together how many times does three go into 27 and that's nine so you put nine here nine times three is 27 so that's zero you subtract them so 27 divided by three is nine as it it works out okay it goes in perfectly now how does that play out here let's do this guy this is x plus two and you got x square plus five x plus six how many times or what do you multiply x by to give you x squared and the answer is x right and x multiplies this and this and you put them down here right so x times x is x squared x times two is plus two x right and then we subtract this from the top i change the signs and add them right so minus and minus right if i'm doing it with a pen and paper or pencil and paper that's what i would do and i would just cross this out so i don't get confused right and then you go x squared minus x squared they kill each other five x minus two x is three x okay and once you reach this level you bring this guy down plus six and then you ask yourself what do you multiply x by to give you three x well you multiply by three so you go plus three so three multiplies this and this right so three times x is three x three times two is plus six you subtract this from here right change the signs and add them minus minus this kills this this kills this you got zero left over what just happened was this if you divide this by this the answer is x plus three now take a look at this x squared plus five x plus six divided by x plus two is equal to x plus three because we have nothing left over zero left over if you want you can write it the way we wrote it previously you can go plus zero over x plus two but zero divided by anything it's just zero you don't have to include that right so that's what we got so far take a look at this cross multiply this guy up because you can't right you got an equality in equal sign so you can cross multiply it up take this cross multiply it up you got x squared plus five x plus six is equal to x plus three times x plus two if you foil this out you're gonna get that this is this guy factored right this is a trinomial simple trinomial and we've done a lot of simple trinomials if you're trying to factor a simple trinomial you ask yourself what do you multiply what multiplies to give you six and ask to give you five and that's two and three so you write it out there right so for example let's do another aside here i know i'm missing some comics uh people i'll read the chat i just want to make sure i i cover this so the flow of information goes well enough right if you foil this out x plus three times x plus two you're gonna get x squared plus two x plus three x plus six combine them you get x squared plus five x plus six right which is what we had right so if you're able to factor something completely if you divide by one of the factors what's left over is the other factor here's another way you can think about it let me erase this guy okay take a screen cap if you need to okay now just imagine this if you wanted to simplify this all you would have to do is factor the top and if you factor the top here let's do simple trinomial factor right what do you multiply to give you positive six and ask to give you positive five two times three gives you six two plus three gives you five so you can factor the top and go the top is really x plus two x plus three and we're going to divide it by x plus two well guess what x plus two kills x plus two the answer is x plus three that's another way you're going to look at it as well now i'm just going to reach out and then i'm going to show you what this means what it implies right let me put on my glasses chicho gives education for free is that legal it isn't my world math is beautiful when it works yeah over and all how are you doing and i love math nerds nerds throws balls he's a paper and i still got it nice that's right people on toast you still got it what was the x over what was it it was uh two over x plus one uh yeah education for free not in the u.s he's a criminal not everybody's a criminal everybody's a criminal those in choral performance i used to get the screwed in algebra because i tried to use short cussing here blind guessing to get out of doing the actual yeah a lot of people do that you don't want to do blind guessing in math that's the beauty of math right guessing is just doesn't work guessing doesn't work oh wow we got two chats how come we got two of these things going oh i think that's because i got the stream labs on here as well that's what's going on i'm gonna grab this guy bring it over and resize it to that i'm gonna take out the alerts i just added by the way i just signed up for stream labs as well that's where you were getting when people and thank you for the follows and uh and the subs by the way if i've missed any okay but just to let you know why we're getting two one popping up here and another one popping up here is because i just signed up for stream labs and i put the notifications on there and that comes in with donations as well through stream labs uh so the i'm incorporating more tech into here and i'm definitely going to be i'm just using regular obs but at uh maybe this week or in the next month or so i'm going to load on stream labs obs i start using stream labs obs okay my exam results demonstrated my luck 70 every time really that's pretty good guessing if you hire a higher level math you go to the guessing is not going to work i love how you say kill is not cancelled sorry or it is what i do right i try to watch my language sometimes when i'm working with younger kids though i don't say kill i say i think i do sometimes it's just my habit but i do sort of say uh eliminates or nah you know what no matter how hard i try kills comes out but cancels uh see we are doing some algebra today glad that you teach people the basics as they are required for progression 100 i think most of the problem in math matters people have is because of the basics have you ever come across a math problem you could not forget oh for sure spider yeah 100 yeah really 100 like i don't consider myself to be a mathematician i just know enough math high school math anyway to be able to do everything i need to do in my life that requires mathematics and trust me with high school math you can do anything you want almost anything you want it in your life with the knowledge of high school mathematics except for the you know 0.01 percent that want to go into some special fields and stuff like this even when they do you can still do what you need to do right but even hardcore mathematicians have come across problems they haven't been able to solve it's driven some of them insane okay not me i don't go insane not trying to solve the problem uh what does that mean i don't know um a lot of numbers a lot of numbers they keep seeing them what do they mean depends when you're seeing them brother chain chopa chan later if you have time can you show long division with two variables um where you need to get the value of a variable i'll try to find that uh question if that that does make sense i don't even even tell us i don't think i've come across a long division with two variables not that i could call anyway i probably did in university but i don't remember doing any for like 30 years so i would have to probably look it up to be able to remember the technique that's a whole different subject that is a whole different subject that goes into spiritualism which is 100 different than math that is 100 agreed 100 agree my favorite mathematician is sthetoric uh velali such a cool guy in a wonderful uh cool i don't know which one he is uh what he came up with i found high school math vital to my skills although university is completely different equation yeah but if you know you've done you know your algebra university you're okay with made to insult hero scissor was it has nothing to do with satan realm yeah very mathematics doesn't people try to incorporate it are you able to prove that through math mathematics though mathematics is that there's a there's a theorem called chain of chain chan uh there's a not a theorem but a basic principle of mathematics is incompleteness theorem they call the incompleteness theorem and the incompleteness theorem by the way we're going to continue on this i'm going to show you what this means right the incompleteness theorem says that you cannot analyze anything from within the system right so a system is incomplete it cannot give you the answers to everything because it is a closed system to a certain degree i'm really uh simplifying the matter now take a look at us we still need this up we don't need this up because that was just for the long vision so let's kill this guy okay now if you recall and we've done this before let's assume this is a function f of x right x squared plus five x plus six and you want to graph this and if you're going to graph this because it's a parabola it graphs something like this right because it's a problem you would do um completing the square but you can do it without completing the square okay what you can do is factor this x x plus two plus three okay and right now we have now this line here this is the same as this they mean exactly the same thing they're saying the same thing okay this is my mouse this is my mouse my mouse this is mouse mine like different ways of saying things right it's the same way as saying oh f of x is also equal to uh x squared plus five x plus five plus one that is the same as that is the same as that because five plus one is six right we're just rewriting it in a different way because by rewriting it you get different types of information out of it okay or you could get different types of information out of it marco how are you doing hey chichou i tutor a student grade seven he wants to get ahead of his level should i teach him math before physics or vice versa i think i can start with basic physics and then go more in depth with mathematics uh sure you can go physics and mathematics but for me my physics students uh teaching them physics is basically explaining them how a system works right so for example if i'm throwing this guy like this right we do a little drawing we say oh this is me here's the pen i threw it right there then we'll make it a dotted line right so the physics part of it comes like this right it goes and i ran over and i caught it right here's it or i'm passing it on to someone else my stick figures even suck it right i'm throwing it to someone else right that's the physics and the physics information the data you get from it is oh the distance from the throw to the catch let's say it's 10 meters okay um what else we could give other bits of information the weight of the thing and you know if there's wind being played or whatnot or you could give the height or you could say how high does it go or whatever it is right the mathematics part comes in like this oh this is a quadratic equation which happens to be this and to be able to analyze this this projectile the motion of this projectile hello curious how are you doing to analyze the motion of this projectile this function will do it minus one let's say or plus six plus six let's assume it's the same function but you can analyze this the motion of this projectile right that's the mathematics the physics is the motion the drawing what's really taking place so it's up to you you can present a physical situation and then overlay the mathematics or you could teach the mathematics and explain to them that this mathematics applies to the system i go both ways depending on what the student is doing if i'm teaching a math first physics physics math or what they're receptive to um it really depends but you can go either way but make sure they the one thing make sure they understand that without the mathematics they couldn't do the physics like analyze the system you need the mathematics to analyze the system okay without a doubt without a doubt i prefer to be taught the system first for example retractive index i'd like to learn about how it works and what it used what it used for before i started into the calculations cool math is used to help us understand physics it's it's a language we understand it's a language we use to do calculations for physics and for chemistry and biology and whatnot physics it's meant to be a tool for understanding the world around us 100% agree math has worked so well as a tool all the way up to until quantum uh physics that's where we are trying to develop new math to help understand quantum properties yeah he was really curious about um about science he's interested in terms such as absolute zero and the anatomy of some oh fantastic man you got a good student marco nice i love having students like that right fantastic you could just pump them full of information right and then once they start going a little crazy reduce it let a little bit of air out and then focus on certain topics that you might have talked about right so try to think as math as a tool and not a solid concept yeah the language i like to i always tell my students is the language we use to understand the world is in every field economics politics science music doesn't make a difference right oh i thought you were talking about i want to use math to solve spiritual problems you can if you want if you know the language of mathematics you can apply it anywhere if you can come up with a theorem right to solve spiritual problems and that hypothesis can be replicated and the mathematics behind this sound then you just won a global award and then there might be i don't know if there is right you might be become one of the most famous people in the world by using mathematics to prove that spirituality certain aspects of it are real right that's what 21 grams is about and other things like people try to prove this stuff but very very important other people must be able to replicate your results if you're conducting experiments that's taking it from the realm of mathematics to the realm of experiment science right you science has certain steps you have to do right hypothesis or something you know come up with the hypothesis conduct collect the data conduct the experiments get the results repeat someone else has to be able to recreate your experiment right as you're not sure is the bible the pyramid well a lot of spiritual texts have numbers in them right for example number 19 appears in the in the oran in the uh muslim spiritual texts right number seven number 12 appear in the bible uh the Torah has you know magic numbers a lot of them do right shapes numbers there's uh what do you call it the solid geometry the magic objects i forget the names man i better go to sleep it's getting late okay evil on toast will be a fantastic dreams mathematical dreams mathematical dreams i can't wait to rewatch the stream later and talk about my whole knowledge list also it's my first experience with a student teaching someone is great for reinforcing past yeah and by the way marco what you're gonna find out is you're gonna learn a lot of things from simple stuff that you thought you knew because your students going to be asking you questions and even the most simple questions that you know what you need to do to get the answer start looking into why you do it and the why will blow you away it did me really when i started teaching mathematics i knew you know a lot of the stuff i was teaching but i didn't know why i was doing certain things that i was doing once i started looking into it i was like how come they didn't teach me in this in school right once you start doing the wise uh marco your student is just gonna and then they're gonna pass on the word to other their friends and families and you're gonna start getting a lot of calls people saying hey can you teach me physics or math or whatever it is right and not you know not to mention that your knowledge of the world is gonna greatly improve it's it's basically an upgrade to your processing system if you can teach it man teach it well i'm not talking about just get monkey monkey see monkey do right answer your students questions if you can teach it well it becomes an upgrade to the process system because all of a sudden you see everything all around you it's very trippy it's very cool have you ever heard of the magic square of the sun she chose you might find it's super interesting it can be it can be recreated magic square of the sun i don't think so it's good to have ambitions but just be warned math was intended as a tool for physics so it may be difficult applying it to metaphysics the good analogy is is trying to use a carving knife to hammer in a nail you can work but it will be a lot harder than hammer yeah but sorry for the interruption let's get back to quadratic wait let's get back to quadratic also did you teach the audience linear equations before this i have taught linears before but we can definitely go over it we're going to do a little bit of linear right now by the way i'm going to show you linear because this is a called a quadratic but each one of these individually is a linear function and we've talked about this right is it possible for a person with non-mathematical pain to learn math is yeah everybody has a mathematical brain it's like saying is it is it possible for people that don't have a natural language brain to be able to speak any natural language yeah everybody can learn how to communicate mathematics is just a language it's just a way we've decided to or the system we've come up with to analyze the world to talk about the systems within this world everybody has math abilities mathematics is an innate property i wrote an article on my blog if you do chicho mathematics innate feature of human beings it'll it'll show up right here here let me uh dear park live let me give you an example that proves to you that even like anyone who even you who asked this question will appreciate that you have a math ability right so and then we'll go back to this stuff yeah the education is terrible especially in Canada it's horrendous in Canada um yes it is think of mathematics as a language it would be farfetched to think it's impossible to learn something yeah now just on that note aside from math being a language and stuff like this here's the innate property innate ability that human beings have and by the way a monkey has this innate abilities as well and i've proposed this experiment before and i don't know if it's ever been conducted right just imagine right something that you really like right some kind of food that you really like if we want to make it cookies here's a cookie right here's a chocolate chip cookie and here are exactly the same cookies but four of them which one is more is this more than this if you understand the concept of more you have math abilities right i realize that there are some people that have difficulty with this but out of the seven plus billion human beings on this planet if you presented this to them and you asked them which one is more if they're the same size i'm talking about physical cookies just take physical cookies put it in front of them and ask them which one is more they would say that one right if you asked them which one would you like to have if you could have this one or those ones you would say those ones and the the the proposal i've been i've made before and i and i mentioned this to my students and i tell them at the end look i don't know if this is true or not but this is what i tell them right i say because they say oh i don't have math abilities i hate math i don't understand math so first thing as a someone who tries to teach people mathematics is to convince people that mathematics is not magic it's an eight less is more that's awesome it could be it could be right the one of the tricks to teaching people mathematics is try to convince them that math is not magic okay and it's an innate ability that everybody has even monkeys and this is this is what i tell my students right if i find them they're they're getting pissed they're closing off they're they don't believe me or anything like this i go listen just imagine a monkey right they go okay there's a monkey because everybody likes monkeys right almost everybody likes monkeys right so go monkey monkeys so they get some perked up right i go just imagine if you had a monkey and we usually we're usually sitting on a table and just imagine a monkey sitting on a table over there right and you put one banana here and you put a whole bunch of bananas over here which one is the monkey going to go for right is the monkey going to go for one banana or is the monkey going to go for a bunch of bananas right and i guess because we have human abilities we know we understand the concept of more and less almost all my students say they're gonna go for that one i go well even a monkey knows mathematics because they know the concept of more right so all you have to do beyond this is to break the more down into individuals being added together to create the more and then you add addition and stuff like this and then from there we'll go back to the topic that we're doing right it's just planting seeds trying to break barriers within them okay a monkey tore off my heart i don't care for monkeys right i think people start to get confused when variables come into play exactly and one of the things i do marco with variables right if they're having a hard time with it they need to understand that a variable is just a placeholder for a value in an equation 100 so sometimes what i do is if i'm writing it like this i go instead of f of x of course if they're not understanding variables i say this a triangle is equal to a box squared plus five times a box plus six so instead of using x's and y's i use triangles and boxes right and then i go okay let's assume we've got a whole bunch of different things and we're adding them up right and then i go oh a box plus a triangle plus a diamond minus a star i don't know plus whatever that's the name is called and stuff and they go okay i go look isn't this getting a little confusing and most of us go okay yeah a little bit i go like we're running out of shapes right you can create an infinite number of shapes but mine are different it's very difficult so you know the alphabet gives us 26 letters why not just use letters x plus y plus z minus w plus b right isn't that easier than placeholders and then we'll move on right so i don't spend too much time on these things i break down small barriers that students have put up really rapidly boom boom boom boom boom boom let them get get rid of their anxiety about it right and then if they still have a hard time with it during the lessons i go back to it i go okay what's the placeholder you know what's the box and then we do substitutions right let's go back to this guy so this sentence is the same as this sentence right they shoot it's unknown variables for me finding the value of variables was always hard that's because you didn't know how to move around an equal sign so it's not finding the value of the variable that's difficult one of the main issues that i found that people have is they don't know and this is a box because it could be a big expression they don't know how to move around an equal sign okay that's the reason i put out a video if you do a search for chicho equal sign what it means to solve an equation right if i think i called it what it means to solve an equation right and i put out a bunch of videos on this one of them was asmr which was a long extended video and and there's a bunch of them that we put out for the language of mathematics right and we've done some other asmr videos on this too right so if you do chicho equal sign you find videos where i specifically focus on how to move around an equal sign because when it comes to solving for something all it means is get the variable by itself that's it and that's one of the things i emphasize with my students what it means to solve an equation means get the variable by itself right and we start off with simple stuff here we'll start off with this we're taking a lot of tangent but these are good questions okay so if we have this x plus two is equal to five right i say solve this equation and i ask them what is it that i'm asking you and they say well to find out what x is i go yeah but mathematically was it that i'm asking you and if they don't give me the answer i say to get x by itself how do you get this guy on one side of the equal sign by itself and what you need to do is undo what's being done to it right so this is x plus two so two is being added to x so to undo this you got to subtract two from this side and an equal sign is a scale it says if you do one thing on one side you got to do it to the other side so you can't just arbitrarily subtract two from this side without subtracting two from this side so you have to do it to both side so you subtract two from here and line up your equal sign you still have the x here but two minus two they're done right they kill each other five minus two is three you got the x by itself so x is equal to three that's what it means to solve an equation get the variable by itself and then once they appreciate this we might do you know add a number here do divisions there's a whole bunch of stuff you do right and then to really solidify the concept of getting whatever variable you need to by itself i write something wacko right i go like this i go w two plus five z divided by q x is equal to two y minus six i don't know what else we got k over n right and i say oh solve for x or solve for k or solve for n so i pick one of these variables and i say solve for it and they go what i go get it by itself right and then i watch them do their thing okay guys if you're if you're confused about math check this guy out great content man you have a special touch worth explain to us thanks marco a math comes in handy for me with the recipe yeah recipe is huge especially pastry baking right Nicholas beyond that my brain closes that but i've been enjoying the stream so far awesome awesome glad you like it Nicholas your channel is a great variety of content ranging from true and honest yeah my linear algebra would hit up a lot more once we get into matrices determinants but basic linear algebra right here we're about to do watch this okay so as we said this this is the same as this right this sentence says the same thing as the sentence and here's the difference between okay this one is quadratic okay you write it as a quadratic equation quadratic okay this is also quadratic because it's two linears multiplied together okay so that's a linear which is a line and this is a linear which is a line which multiplied together gives us a quadratic quadratic equation which is a parabola right so first of all let's graph each one of these guys because this says f of x our function is this line multiplied by this line okay so what you can do is call this line h of x a new function and you can call this line g of x name for another function if you don't like h of x and g of x you can call this h you can call that g you can call this y i'm just using f of x h of x and g of x just to introduce these concepts because higher level mathematics you use more complicated expressions symbols to represent the function excellent stream i'm drunk i almost understand you nice this is going to make you feel pretty pretty cool about this right so basically what we're going to do we're going to graph h of x so h of x is equal to x plus two and g of x is equal to x plus three right so another way you could write this function is f of x is equal to h of x times g of x this guy times that guy so take two lines and multiply them together you get h f of x and what is f of x f of x is a quadratic function quadratic function it's the same function this is my mouse my mouse this is this mouse belongs to me the same the same thing okay this this this they mean f of x but let's graph h of x and g of x individually right right h of x is x plus two and this is a line linear function which is y is equal to m x plus b right where m is the slope and b is the y intercept right and if there's no number in front of a variable it's just one one one right so we could confuse about that if I write down y it means one times y divided by one to the power of one right but we never write that we don't need to so the way you graph a line is you go to the y intercept and you do the slope right and one is the slope and the slope is rise over run so we're going to go to two right and then the slope is one over one which means up one over one and we're going to graph this that's h of x this one is the y intercept is three one two three and then up one over one it's going to be parallel to it it has the same slope so if we draw this my line had a little bump here here let's get rid of the bumps it looks cleaner so we have this okay hey chicho love your channel especially your comic calls me too i love the channel and i really like like the comic the pause and the mathematics and the pomegranate unions right so that's h of x this guy and that's geo x right geo x so we graph two lines now if we want to find out what f of x is f of x is this line times that line okay and if we complete the square to this and stuff like this what we get let me do this in a different color let's do the same orange let's see how orange is going to come up if we graph this line and we've graphed this line before it turns out to be like this so just imagine just imagine we have three different sentences that tell us what f of x is which we've come up with three different ways to represent and graphically well this one is just a summation of this one so we basically come up with two different ways to represent this right and this one basically breaks it down into two lines multiplied together to give you the function and that one is them already multiplied together and it gives you this form okay the equivalent of this is this equivalent of this is saying six here let's do this in green it's like saying saying six is equal to two times three so if you go to a store to buy something and something is six dollars they'll say the item is six dollars what if the school was a the the store was a mathematical store and the guy was very eccentric and he wanted to teach people mathematics and whenever you went to buy something it would be an operation that would give you the price of the object so instead of pricing the object the six dollars he would say the price of this object is two times three dollars and you would have to do this calculation to figure out what you have to pay at the time that's the that's the equivalent of this right really if you want just ridiculous comparison right this this makes sense not really but it is what it is right now what does it mean when you're dividing well when you're dividing you're saying this take this orange function f of x and divide out x plus two divide out that what do you end up getting oh you end up getting this function g of x which is equal to x plus three yeah let me erase these guys because we did this already right so this is equal to x plus three how does this apply like an example in the real world just imagine doing biology or chemistry and you want to find out what certain compounds are made from you break them down just imagine if this was a compound and you want to take out one element from it or one mineral from it or something you want to find out what you end up with okay i'm just going to read a little bit of chat i hope that made sense that was sort of long division i can do a bigger we'll do a big polynomial long division and when i erase this okay i'm just going to get caught up with the chat a little bit also slope is rise over yeah also slope is rise over one the one is one up one over so slope is slope of a line is equal to rise over run and if you have two points is y2 minus y1 over x2 minus x1 math is very important for measuring narrow band uva rays too bad my math skills are just barely sufficient i have the uh permanent scar tissue to prove it permanent scars issue nice job man you got my attention cool cool that's good i'm glad you're enjoying it now i b booker 1 a.m is a little late for math for me gives you nice dreams it's 7 p.m here in texas right now we're in mancouver west coast of canada five p.m so texas you're two hours ahead of us ahead of me anyway i have drank a lot of vodka but the dude makes hopefully it's not just the vodka speaking not to be mistaken for texas germany is there texas in germany i'm uk i should be asleep but to be honest texas japan is there texas in japan no i agree with your logic hello how can remove an element be like dividing by another expression because you're taking out an element when you're dividing you're taking out it's not subtracting well it is subtracting division is really subtraction okay it's the opposite of multiplication and multiplication is an extension of addition so it's all a loop really okay what's an example we could use oh man my chemistry and biology isn't very good okay i really use it right but h2o take water for example right let me erase these we're gonna we're gonna do one long division right so hopefully you took a pic if you wanted it but basically you could do this h2o is water right h2o divide out i know i don't even know of chemistry if this is what they do well actually let's divide out an h let's divide on an h so people don't confuse this with zero right divide out an h well what do you got left over you got ho think about that way i don't know if that's a legit expression but that's the way you can think about it why not right the colored markers dry erase up use use a filament pump hey h2o do you like spacex or nasa sorry for the odd question but i'm curious to hear your your division i like space exploration i'm not a huge fan of nasa they put out some good stuff but i also think they do many nasty things and they have done many nasty things right it's really a military operation right and no matter what they say right spacex i'm okay with it but again i don't know how the workings go i i am just generalized i'm in full support of space exploration 100 percent humanity's future is in space okay we need to break that barrier and explore space we have well it depends how if you consider the sun the end of the sun to be when the sun goes i think it's gonna go uh red giant is it gonna i forget what this our sun is meant to do what is end lifespan is going to be the size it's saying it was burning and stuff like this but the sun is basically whatever happens to the sun besides our future right and the sun has a limit of lifespan right and we might have a little lifespan depending on how we treat the environment right all right i get it okay are there any kids in here that are smart enough to just ask their math homework questions if i was still in school i'm totally for see that's the kicker right price pricey m9 right i've set these up to give people the opportunity right not necessarily in school you could be anywhere i've had people i've had people here have come in that they want to write their equivalency tests and stuff like this or they're trying to learn something to for an entrance exam or they're trying to learn something so they can get a job and they're applying and stuff like that but personally if i had the service available where someone was offering two hours uh to help you out i'd be here in a heartbeat right i would have been here in a heartbeat so there will be this is the future of education and it is here right now it's not really the future but uh our education system centralist education system is so horrendous it has an empowered kids to try to find solutions to their problems right they convert them into passive consumers of everything right that is changing and it will need to change and i'm seeing the changes taking place by the way this viewer is called elimination space x is just an investment uh investment chaos out to say possibly yeah most people think that nasa is uh civilian but why the stuff they have in yeah nasa is not civilian they it's like it's like it's like saying oh bill gates is a nice person because he contributes a certain amount of uh from his billions that he has a few million dollars to charity or 10 and they're not really charity they're investments into the future of microsoft and bill gates right they're not really charities none of these things right so there are there are people that say you know these oligarchs are really nice because they give millions of dollars to their favorite charities which aren't again aren't charities their investments into their future right and then there are people who realize what the rest of the stuff is that they're doing right nasa is the same way i treat them the same we'll become a red giant red giant that's what our song will become that will end life on earth unless we adapt right we need to go into space and earth well yeah it'll end life in earth because it'll consume the earth so the earth will be done for we need to get off this planet i know they will follow through on any of their promises or ambitions space x you mean yeah they're not going to mars yes not yet anyway not for another 100 years 150 years 200 years uh maybe right colonizing mars it's not going to happen for a long long time battles to jihua i i really wish nasa would make their alpha particle readings public that's actually true like these streams are still very informative you don't just solve problems that you get asked you teach on the methods to solve similar forms 100 and that was my intention and that is my intention for all of my math work and not what i'm doing online here with a live stream with the videos that is exactly the way i treat my students right may they be just students that i work with online or students that i work with in person right i'm not here just to answer do their homework for them i'm here to explain to them what the question is asking them that they see in their homework and how that applies in the bigger picture of things and how they can think about solving it right and sometimes that involves going through it once or twice or three times and then you let them loose a little bit and let them go on their own right if they don't know how to do it after one two three times then you got to kick it back a notch and figure out where they're having the problems right i've been pretty far in physics but i always sucked in math yes this is real and there are so many gaps in my mind until today like how our math domain is really divided and what are the real practical fields of each domain and why yeah it's incredible i've known people like my math has been pretty good in general there's certain physics courses i've taken where the physicists the people they're taking the physics were better at it than i was right because they've seen they've done a lot of work they've seen those types of problems they knew how to solve them and they would help me out and i would help them out with the mathematics and collaboration if you're in school collaborating with other students other people or even if you're not in school just collaboration is an amazing way to learn really two heads are better than one and so on and so on i would like to know the speed at which i would like to know speed up which alpha particles travel outside of the orbit it would be nice imagine waking up for school in the morning and logging out to twitch yeah that would be amazing dude that would be amazing right you know parents asking hey what are you doing kid what are you doing son daughter whatever right i'm going to go on twitch no games now no no no i'm going to log on to a live stream tutoring session fantastic fantastic right the best thing would be to use this planet to the max with the less less energy consume yeah and we have a nuclear power plant in space the sun that is sending us a tremendous amount of energy why aren't we not maximizing that use of energy right i'm the same with biology one day we will get through this and fill the gaps yeah i respect you man you're a scholar and that's true son thanks brother do you teach as a profession or are you retired retired no i'm not old enough i first of all i don't think i'll ever retire retired for me retirement from one field means i'm getting into another field right if you don't mind me asking i i teach as a profession yeah i teach have students say i consider this part of my profession having the space available to answer questions and stuff i learn from these streams okay i learn from the interaction from the different types of questions coming my way and we have there's a lot of times we have people here in the live streams that are from russia or india or wherever it might be from the middle east from south america from united states can wherever it might be where their mathematics is more powerful than mine and sometimes when there's a question being asked i don't know the answer and i can't help out they help out in the chat i learned from this all right there's so much energy available to us both in the earth orbit and below its surface yeah below its surface is huge it's just a matter of how to get it and how to get it fast and there's another place that there is energy that i've read stuff that explorers zero point energy in a vacuum there's energy there right how do we tap into that right from what i understand or just take a cubic feet of just air there's energy there right biology and chemistry don't require advanced mathematics at least at the apprentice level you mostly only need to know basic mathematics to deal with atoms and cells yeah ever heard of cupelets or drive no i purpose i don't think so i would have to look those up to see what they are maybe i have to read the description on on bat with names so chemistry does require advanced mathematics when you're dealing with radioactive compounds it it's it's radioactive decay and growth radioactive compounds it's radioactive decay right biology you have bacteria growth that's exponential growth those two certain to be could be considered more mass mathematics but it's all high school mathematics when it comes to radioactive decay if you're looking at how they're decaying if you're going to a subatomic level uh yeah you need more powerful physics once again i have the scar tissue possible future cancer to prove it oh no you got exposed to radiation that's not good yeah in the end in the end play we have dyson dyson spheres but i think that will will we will travel first dyson spheres there are some lobbies the fossil fuel lobby for example and that's sad but historically the reason why the states has gone so far in astrophysics is because they want it to be better than the soviets in a military sense politics are still the boundaries for science i think yeah and economics right now it's basically economics is the boundaries of science when it comes to military stuff is politics but economics is driving a lot of the engines the engine behind the push right now so you have gone far then we are far far away from requiring the dyson sphere off topic but did you hear the rights experts for the UNWG a working group on arbitrary detention have criticized the UK government for Julian's a sentence and a calling for his release saying it's a violation of human rights sorry for the tangent just want to know if you heard about that they've been Nicholas they've been saying that for a while now i believe yeah UN bodies have come out and said Julian Assange's detention is illegal and not only that the UK not only that the does the UK have to release them they have to compensate for forcing his detention right maybe hopefully we get that we'll see where it goes but we'll the outside will talk a lot more about this in tomorrow's stream when we talk about current events i talked about the fossil fuel lobby because you said why don't we max my small energies yeah and because one of the other reasons is technology i don't want to just beat down on the fossil fuel industry that deserves a serious beat down right really huge they've wage wars and destroy like ridiculous right but it's also technology we we haven't had the will to reach out into the stars to the capacity that we can because we don't have anything that stores energy right now as well as fossil fuels right so basically if you can think about you know think about it oil if this was oil we don't have anything that is as contained in this as easily to transport easily to use as oil that has this much energy everything else requires more right i meant that the high school level but still if one finds high school math basic then it is basic yeah i consider high school math to be the bare bones of what you need what people graduating now need to make sure they have a prosperous future and that's been the case for the last 20 years you need high school you need to know high school mathematics to make sure you have a prosperous future okay sound sane okay these types of streams would possibly more useful for those who find them my teacher in school used to just teach their curriculum guide lessons by lesson and that was it yeah although i suppose i can't blame them when you're trying to teach 30 40 kids the same thing at the same speed yeah that's one of the reasons that ain't going to centralize education system it's impossible to work with it really from 30 or 40 people you might be able to help one or two but you're uh disenfranchising 28 38 right the ratio of the good you're doing to the bad you're doing is too low for me yes um in the most reckless and dim-witted theoretical cellular biologist but seriously for any kids regarding this radiation is no joke don't be like me yeah don't get exposed to radiation and one of the things uh like can't pronounce your name one of the things regarding getting exposed if you're youth when you get a job with a corporation okay if you go into the system right it may be small company or a large company or whatever it is your bottom up total total pull and you're disposable so if there's dangerous things to be done they will get you to do them okay keep that in mind be weary of that okay use your brain if you're working in an environment where your boss the company sends you somewhere and they say they want you to do this do a little pause do a little breather okay ask yourself is this the right thing to do for me for my health am i going to be paying the price five ten twenty thirty years down the road for a job right for people who want me to go into this area and collect data or go into this factory and do something really keep this in mind if you're just getting into the workforce you're the bottom of the total pull there are people in positions of power that will take advantage of you be aware of that looking forward to us okay tomorrow's stream yeah me too me too there's a lot going on man wow wow wow dudes sorry that i have drunk a lot of vodka the subject involved or more than i can handle no worries brother no worries being exposed to radiation on a level like that is not meant to be influencing when i ask how you were exposed that's a good question love your channel thanks brother our sister dinosaur juror dinosaur juror gyre dinosaur juror dinosaur gyre dinosaur i may or may not be developing a low energy reactor this may or may not be illegal in dude don't blow people up and don't expose other people to radiation if you're messing around with stuff that are radioactive it's not just your yourself you should be concerned about it's people around you as well right don't be silly if that is what you're doing don't type shit like that your FBI agent will see and i may or may not be experimenting with concentrated UVA and UVB narrowband racism uh palladium that man i wish i could uh say i'm doing that at the dinner table there's a lot more boring than people think what math do you need to be a legit software engineer um depends what level if you want to be an electrical engineer you need to go pretty high up in in your mathematics if you want to just get into programming you don't right aqua warp alco beer warp drive or alco bear metric referring to metric tensor is a speculative idea based on a solution of einstein's field equation in general relatively as a as proposed by mexican theoretical physicist miguel al corbera which by which a spacecraft could achieve apparent faster than light travel if a configurable energy density field lower than that of a vacuum that is negative mass could be created really that's cool i don't know about this uh perps personally i think uh work technology folding space and all that jazz is achievable in my lifetime i doubt it in i doubt it i don't know how long it's going to take right but i think it's plausible and basically what uh perp is saying here is einstein's theory of relativity his paper on the electrodynamics of moving bodies okay so he put out a paper in 1930 i can't remember what day it was 1920 something uh perp's might know this right he put a paper called on the moving on the electrodynamics of moving bodies right and in that paper basically in the mathematics equations and we put out a video on this by the way if you do chicho einstein's theory of relativity there's a video that'll come up that we do a little discussion on this paper and basically in the mathematics of it we find out that we can't travel at the speed of light because in the math equations you get a division by zero so what perp's saying here is if you can create a negative mass okay so if you can basically would we consider that antimatter i don't think we consider an antimatter i guess it might be antimatter but if you can consider creating negative mass then you can create some kind of field i would have to read this again but can create some kind of field density where it would protect you from the effects of faster and less speed travel in our normal space in matter that's what i'm assuming that it proposes right so basically just imagine having a by the way i could be way off here but that's just from the initial reading this is what i'm visualizing right just imagine if this is you right and you try to go at the speed of light speed light speed here light speed that's right light speed right you can't go at light speed because if you go at light speed you get a division by zero in the equations of mathematics your mass becomes infinite right you would need an infinite amount of energy to get even a particle like something small as this to light speed right so we can't travel light speed because gravity gravity and acceleration sort of work the same way and stuff like this right but just imagine if you could create a sphere of negative mass negative mass i'm assuming this is an antimatter but i'm not sure right so you guys can look this up right if you can create a sphere of negative mass which would create a bubble around it and what does this refer to configure energy density field lower than a vacuum so in this field the physics of normal space wouldn't apply it would basically act as a shield and by being within that shield you could go faster in the speed of light possibly maybe the worms in dune with the spice that's what they were doing right or the what do they call the the ones that were using the spice to travel my best friend is a software engineer he used to do freelance scripting and 3d design in high school it takes middle school math skills yeah it doesn't take very much if you're just doing programming and stuff i haven't taken advantage of as a previous job because of my work ethic ended up reaching a breaking point and got the boot for it a few months later the manager who exploited me and finally got me can't got the boot himself because he was caught handing out personal favors and being overall crap yeah and you see this within corporations in every type of corporation and you see this in governments all over the world perhaps always always support from an aerospace engineer x how are you doing i finally got to your thing i'm way behind chat by the way the problem is the space with lower density than a vacuum theoretically cannot exist theoretically for now anyway mark 1905 you put out the paper on the Einstein put out the paper 1905 on the electrodynamics of moving bodies wow 1905 oh you are aerospace engineer now that sounds fascinating all i do is type boring logs down all day and try not to burn myself that's part of data collecting right data collecting is very boring it's also very meditative as long as it's become muscle memory what it is that you're doing if i had this guy as a as a class and you guys as classmates uh then i would have learned things a future one two two more years of uni left that unavoidably cost 21 000 all the yikes i understand your pain yeah dude great movie great movie indeed i loved it great book indeed i loved it uh chicho life has been live for one hour and 34 minutes cool oh wow by the way you look like the singer system of down surge tanking on uh halib steadfast love system of down bent to their shows i've written a review of system of downs music if you do chicho system of down you'll get an article where i in 2006 i wrote a review of their music uh i'm proud of that review took me a while to write it i was looping system for a while well my debt is nowhere near that high but i understand i want to be done with it with college yeah yeah school is painful indeed indeed learning brilliant magnificent beautiful soothing not painful education system horrendous painful destructive you got to balance it out i guess the best dream to be drunk i have about a month of uni left and i can't wait to finish get me out yeah that's the way i felt as well i was done i wanted out you're lucky i'm only in my second year of undergrad and by the way marco it is fun as well so do appreciate it university was a lot of fun but when you can see the light at the end of the tunnel you're one out man you're one out the university of toronto has painfully expensive tuition fees i think everybody does now i'll look it up yeah look it up i think you'll like that review i mean it was uh uh it got people liked it there was a at the time when i wrote it there was an unofficial system of down fan website and they took my review and they put it right beside reviews from rolling stone magazine and verb metal magazines and stuff like this and then there was like cheech or review right beside them right it was a good review experience with radiation except to turn a plant into swamp thing really watches a plant turn bright reddish after two weeks dreams realized my fees are nine grand a year yeah that's expensive man but that's cheap compared to some people i guess it is expensive relative to what i was paying at the time but that was like a long time ago 25 years ago 30 years ago so i guess with inflation my fees would have been about nine grand now johnny quest was a lot of science in his name no johnny quest well i haven't watched johnny quest for a long time yeah i love the learning process sense of independence and freedom but the cost man the costs are crazy 21 000 for a year without the without the what what are you studying marconi where are you studying that's the university of toronto it can't be mad unless you're foreign student and that's what they were charging they love housing foreign students and we don't get a loan from a masters in the uk not sure if you do so i couldn't afford to do one even if i want to yeah people get loans to do masters and phd's or any school you got to get a loan so cool i always thought their lyrics were deep yeah their lyrics were crazy deep system of down this i would love to see a musical of system of downs music right with from their first album to the last you could create a magnificent musical with system of towns system of downs music oh aerospace engineering yikes 21 000 a year dude that is insane that is ridiculous i bow to this learning is amazing indeed i have to say i really appreciate people who share their knowledge i have a lot of love for taking an idea taking an ideas my problem has always been special specialization and focusing in on one thing i imagine my little heaven would be a huge library to share with people with all the possible books and getting all the possible conversations awesome yeah for me i jump from different fields ideas and things i'm interested you can tell with my channel right so i have a hard time focusing on one thing and i compensate that by focusing on multiple things that way when i need to focus on one thing i can't because it's not the only thing i'm focusing on i felt the same way i'm going to apply my total that is 15 grand i'm not ashamed to admit i pirated 70 percent of my textbooks freedom of information that freedom of information 100 percent why are textbooks 200 dollars a textbook hundred dollars a textbook 300 dollars a textbook really ridiculous ridiculous there it's just highway robbery right hopefully i get a job when i graduate and they'll fund the masters for me for me part time that'd be a good way my program and pharmaceuticals are the two most expensive programs i believe wow so aerospace and pharmaceutical yeah the reason pharmaceutical is because it's the pharmaceutical industry and it pays really well and you get perks and i'm not a huge fan of it it's basically in most part anyway we won't go down that road what program are you in i'm in france uh studies have cost me zero zero euros ha ha sometimes we don't realize how lucky we are until we compare our situation to ours is yeah you are very lucky okay as in what do i study or where am i studying uh both i guess what do you study sports science wow wow cool so kinesiology and stuff is wow yeah pricey but it's worth worth it my job pays a good amount yeah so a few years will pay off my debt as long as the economy doesn't take a huge tumble right as long as the economy doesn't take a huge tumble which it could which is the trap that some people fall into right when they go into when they start off university there's huge demand for what they're getting a degree for what they're getting an education for training for but at time to graduate the whole industry's taken up is collapsed right now the trick is to get an introductory job and wait out the downturn and reap the rewards when it's picking up again it's a cycle but keep this in mind everything is a cycle so make sure you're not going finishing school or have a lot of debt at the peak of the cycle and you're going to go into a low end of the cycle right so for now i'm learning with my parents for the next few years yeah yeah a little bit of uh bio mechanics and stuff like that that's the most math i have to do on my course cool that is enslavement especially when it's based on interest usury but that's my personal opinion it is that's that's not a personal opinion highly that is the fact of our current economic system right and to make sure people stay in that go banking institutions and money lenders have taken over governments right they've done there's been regulatory capture and they've passed laws to make sure that when people declare bankruptcy their debts are not white claims for their debt for ever right i agree that we have the ability to get drunk unless of this morning of the same time that's funny why are you go possibly possibly but don't remind me that i could happen hopefully not i have a minor in pharmacy studies so that's a backup okay cool that's good the backups are always good safety net is always good in some colleges in Germany you can still get practically free education even as a non EU citizen really Cuba offers that doctors degrees Cuba offers training for as long as you you're willing to serve for free for like five years for room and board and stuff i think it's around something like that you'd have to prove you have the funds to sustain yourself with living expenses for the duration of your studies but there's only like 150 euros or so it may cost for the college per semester that's cool the current economic system will die in like 10 years crypto will take over not bit going but better opportunities we're in some serious disruptive innovation taking place i don't know if crypto will take it over i don't think it's well i can't say let me put it this way i think 10 years is too early for that prediction to happen but i think we're in the transition of different things happening one of the problems with all this is digitizing everything and making cashless societies because no matter how secure you think you might be through cryptos as long as you're going through nodes you can be tracked and it could be you lose your anonymity okay so we have to make sure that we still maintain cash within our societies because physical cash is the one true one true anonymous form of conducting trade currency money it's the one system that provides you perfect anonymity what pisses me off is that this system is made in such a way that if you're already super super rich banks you have them almost zero risk managing other people's money because they're kind of forced to give you their money with which you you're pay and make money out of it and take the loans for you from which you also make money out of just time passing by agreed and don't forget that banking institutions can get money at zero interest rate so they're being given free money they're given being given the opportunity to create money out of thin air so it's not that they're just taking people's money and charging interest by loaning other people's money they're creating money out of thin air right actually i guess the most mathematical thing in my degree is the statistics analysis and price uh pricey statistics is huge statistics is in so many different fields right although the computer software does that all for me so it's good i i bet you could do it without the software though right you chose uh to a certain degree some of the stuff yes uh a lot of the statistics the reason a lot of statistics has been rolling out within our societies is because of computing power right statistics was powerful in the past and you did a lot of stuff by hand or you had computers you ran you know programs in the background to process the data and stuff like this but because computing power has become so powerful right processing has become so powerful now we're able to do way more intricate statistical analysis than we could have done in the past so statistics is a huge part of our world right now so there's a lot of statistics that you couldn't do by hand but it's important to know what the what the ratios what the variables what the analysis tells you and for that or what the numbers tell you what the what the percentages tell you and for that you have to have a pretty a good understanding of what the process is one of the problems with statistics is people punch in the numbers right they press a button processes spits out something and they're not aware that there's a flaw in the data right so it's good to have the background crypto is just so much more efficient yeah i may be too early uh they will milk it as long as they can they will milk it as long as they can 100% but as as far as effectiveness goes it takes a lot of energy to solve those mathematical problems for the blockchains to be processed right so it's not necessarily the most energy efficient way to do things i don't get how it it still works this way and people don't make a revaluation about it is this crypto i'm assuming i plan to go go back to school in 2021 for an md in immunology it is a massive money maker in the u.s because of our elevated allergen sensitivity and according to my uh immunologist interesting yeah there's a lot of allergies in the western world in kean united states right the u-man and the people who are involved are the true scholars this is the vodka drinker it will take another 70 000 k and three more years but it's worth it okay cool i struggle i struggle mostly with selecting the analysis to use exactly pricey that's one of the core things which model because statistical analysis when you're pressing that button you're running a model over the data so you might be losing a lot of data when you're running the models right so you have to have a really good understanding of when the models apply in which situations the models apply and if they apply to your data set before you can run them right and that's to use them i always have to google flowcharts to pick which tests to run yeah crypto is dangerous because it takes more power from the government it gives more power to the government i'm pretty sure we will get even closer to pure capitalism yeah we'll get closer to centralization uh so we have to make sure it is decentralized should we do a long division let's do a long division of a polynomial because that's one thing we said what we're gonna do right i caught up with the chat so let's do a long division division let's say we're doing this negative two x cube let's make it to the power of five yeah let's write it out because that way we're going to use up the whole thing so check this out what if we said x plus one and negative three x to the power of five plus two x to the power of three plus two x squared minus x plus one okay let's say we want to divide this by this and if it goes sorry buddy i am going to time out this guy 600 seconds we're gonna do it again i might do it again i'm gonna do it again another 600 seconds so for 12 minutes ballast ballast ballet ballast okay we had this thing nps man do your thing okay automob grabbed it because that statement that you said not cool so we time you out brother okay uh sometimes i'm harsh sometimes i'm not right now i'm not harsh sometimes it just goes straight up bad man okay get some twitch moments my basic understanding is the more powerful the currency the more morality it can purchase crazy so check it look at this right so you ask yourself what do you multiply x by to give me negative three x to the power of five right well we multiply this by negative three x to the power of four because we already got one x there okay so this times this and this so whatever we put up here is going to multiply both of those okay so that negative three x to the power of four times x is negative three x to the power of five negative three x to the power of four times one is negative three x to the power of four right maths i know there are some big tricks with polynomial operations but i forget everything we're going to go over it you'll see right so negative three x to the power of four right so again we're subtracting this from this so what we're going to do is i'm just going to multiply this by negative one and add that it's the same thing as subtraction which basically means just change the signs and out of it right so whenever there are minuses i just make them pluses and out of okay there's the best guy to just be nice do you know how to break down infinity to a half it's it's infinity i don't know if that makes sense but it's worth a shot infinity broken down divided by two is infinity okay infinity divided by a gazillion is infinity okay it's now 2 am for me good night good night pricey good night okay so if we add these guys that guy kills that now take a look at this that's two x to the power of three that's three x to the power of four we can't add them right so what you do is you write down the extra power for first basically the way it works is think of this as a zero spot for x to the power of four reserving the spot and that's the way you should think about it you're going down sequentially right okay so sweet dreams brother so you can't add that down so you just write this here three x to the power of four and then you bring everything down i usually bring everything down they tell you don't have to i do because i don't want my eye scanning all the way to the top when i'm doing something wrong so this becomes plus two x cube plus two x squared minus x plus one and then you ask yourself again what do you multiply x by to give you three x to the power of four well you multiply by three x to the power of three so plus three x to the power of three this multiplies this and this so this becomes three x to the power of four plus three x to the power of three change the size and add them this kills this this becomes negative x cube bring everything plus two x squared minus x plus one right what do you multiply x by to give you negative x cube you multiply it by negative x squared okay minus x squared that multiplies this and this so it becomes negative x cube minus x squared change the size and add them right this kills this add those guys you get three x squared plus x sorry not plus x minus x plus one what do you multiply x by to give you three x squared you multiply by three x so plus three x that multiplies this and this and you put it down there three x times x is three x squared three x times one is plus three x change the size and add them that kills that that becomes negative two x plus one what do you multiply x by to give you negative two x you multiply by negative two right so that becomes negative two negative two times x is negative two x negative two times one is negative two change the size and add them that kills that and that becomes three you have no more x's left x doesn't go into three you're done okay so if you're going to write a statement this oh sorry this divided by this so i'm going to write it here really small okay negative three x to the power of five plus two x cube plus two x squared minus x plus one divided by x plus one is equal to that guy right negative three x to the power of four plus three x cube minus x squared plus three x minus two plus three divided by that plus three over x plus one okay that's one way you could write it now there's another thing you could do so the answer for the world is three the answer for the word i used to be two but because the world's a little chaotic now it's three right i used to tell people always the answer is always two right okay but how is it easier expression check this out we got this guy here right just imagine we have this guy 27 divided by two was equal to 13 plus one over two right get rid of your denominators multiply the whole expression by two so 27 over two is 27 is equal to 13 times two let's write down 13 times two plus one over two the two kills each other so plus one so you just came up with an expression where you said 27 is equal to 13 times two plus one we could do the same thing here multiply this whole equation right because it's this thing is equal to this thing by x plus one so what you're doing now is you're going to break down this thing and rewrite in a different form so if you multiply this whole thing by x plus one x plus one times this just kills that it's just that guy so it's negative three x to the power of five plus two x cube plus two x squared minus x plus one is equal to this guy times that plus three negative three x to the power of four plus three x cube minus x squared plus three x minus two times x plus one plus three and it's all one sentence right so this guy this is equal to that and what that does you basically took a function like this and broke it down further right it's like taking h2o h2o and saying h2o is equal to two hs plus an oxygen it's got two hydrogens and an oxygen okay i don't know if that's the proper chemical way to write that right but when you're balancing equations that is exactly what you do this makes sense but i'm just drunk sometimes that's what i think brother okay that's actually pretty cool super cool super cool right you break things down what what have we as human beings tried to do since the beginning of time that our time i guess since we acquired consciousness we've tried to figure out how things work and what that means is break things down and see what their core building blocks are the core building block of this function of this function is to this level that we've taken it one step broken down is this guy times this guy plus that guy that's all it is right this is that times that plus three 27 is 13 times 2 plus 1 makes big problems into smaller problems exactly exactly it allows us to analyze systems and figure out what makes them work and if we want right for example if this represented a type of system and we were really interested in the x plus one part of it we can take the x plus one whatever it might be and mix it with another function and create something brand new right smaller problems yeah that gives us a framework to understand things 100 watching this stream is jogging my memory remembering all the algebra i learned three or four years ago it hurts it's like working out man you go to the gym left weights and stuff like it hurts if you do it right you're sore the next day but it's good for you very good for you right fun that's a couple hours brothers sisters friends twitchers chatters fun thanks for being here again slowly slowly restart i think maybe hopefully start getting people coming in more and we'll talk like this stream we talked a lot of mathematics which is fantastic a couple of streams ago we did math and we talked mainly about politics economics or something like that's right but i'm assuming the next couple of months we're going to start talking more and more about mathematics because the end of the school year is coming up right so just putting this out there again if you know anyone that needs math help pass on the word they're welcome to come to the streams we're going to try to do these streams at least well which we're going to try to do these streams at least three times a month so until the end of the school year weren't made until the end of June we'll try to do at least six more of these in the next couple of months and keep an eye out for for the announcements and if you know people that need help tell them to come this way right i'll definitely try to teach as much as i can help you guys as much as you can as much as i can and thank you for being here by the way everyone i prefer that than games actually it's games is fun right but you can't just play games for your whole life that's not what the essence of existence is games is part of it right thanks for giving us a time man my pleasure man thank you for being here i hope you don't have a hangover this was excellent glad you enjoyed glad you enjoyed game thanks for being here and if you want to talk current events politics economics technology whatever it might be tomorrow morning 8 a.m my time okay pst pacific time we're gonna do that stream bye for now