 Cool. Hi everyone, this is Chichou. Today is June 1st 2019 and we're doing live streams again drop-in tutoring mass session and this is number 30 that we've done I guess this year maybe I might have started the beginning of school year I might have started at that what do you call it beginning of the year 2019 I can't remember when we started to count but this is live stream number 30 drop-in math tutoring session number 30 okay and basically it's an open discussion talking about you know if I can help you out in mathematics I will if you have any questions and how are you doing how's life welcome to another live stream on a Saturday morning Saturday morning very sweet now one thing we're going to do today at the beginning of year I'm gonna be post this up hey Chichou I am in a bit of a predicament I would love your opinion in a situation I mean can you help I'll give you my opinion I don't know if it's gonna be a help or not it's not math related for sure Hannah we'll wait until I'll do the little intro to what we're gonna do first once people start rolling in what's what's the issue here I'll give you my opinion again I can't guarantee you that it's gonna be any good advice I've been a coach the last 11 years of my life we went for goal to win the district championships and develop the kids through a club team cool I really have enjoyed it the last two years and put hundreds of hours into the kids to make them the best they have ever been the kids have developed and excelled nicely but sadly parents have come in and decided they want control of this team and are going to take it all over as an analogy it's like if you build a house from scratch and somebody came in and the text cuts off there I'm gonna wait until Hannah puts it up a tough situation and that's just what you're describing right now is sort of the situation that a lot of people find themselves in when they're working for a corporation the simplest example I could give you let me finish off reading the test because I just posted it as an analogy it's like if you build a house from scratch and somebody came in with a gun and said and said get out this is hours now and you were forced to walk away my passion is coaching specifically this level of ball I've won so far 11 years since high school I've won so you won 11 so for 11 years since high school however I'm discouraged because the team I put together is being stolen by I'm done okay I've done so far okay yeah that's right I've done I should fill in the blanks myself X how are you doing stolen by me and by some duchess who has done nothing some parents four of them are going to pull their kids due to this I am discouraged and a bit depressed I feel unappreciated hey chicho how's it going brother going good Richard thank you very much 6 p.m. in the UK time perfect awesome awesome good timing so Hannah your analogy is not perfect okay because I appreciate what you're saying it hurts it's happened to me really it's happened to me I just to give you give you a thing after graduating high school I was playing soccer both in the high school team and in a league right same here hello chicho Martin how are you doing I was also playing in the league right and then when we turned 18 the coach said okay kids okay guys it's been nice and I'll see you guys hopefully we'll run into each other again and I was like wait a second I want to keep on playing soccer right and the coach said well this league that we're in is 18 years or younger right if you want to play soccer you're gonna have to find a men's league to play in which is 19 and over right and I was like well what do you mean like I I was connected I knew I know people from all over the place right so I knew people all over where we were in like three different divisions right and I was like well there's a ton of us that want to continue playing soccer how do we do this so he said okay listen I can get you in touch with someone that you guys can form a new league a new club and you can register teams if you can get people coming in so I want to talk to the guy and he was he sounds like a person that you're describing sketchy as you know sketchy and he was very self-centered and power hungry and wanted to control everything right but I didn't care I just want to play soccer so I sat down a talk with him and he basically said listen if you can get the numbers if you can get the kids registered then we'll register the team we'll form a club and registered the team and I said okay done deal so I put the word out I said listen I called a few people and during the games I met people hello racer kill and met people and stuff like this and I said listen on this day on a Saturday I believe I was gonna be in a stadium sitting down and registering people and I told people to bring money bring money bring ID everything that we needed right and I didn't know how many people were gonna show up and it ended up that tons of people showed up so we had enough we had like 50 people show up or something that wanted to register right play soccer men's league so you know I took down all the names took the money took their IDs that and we went out and formed a team right we were able to not only form one team we registered a club put three teams together the person I talked to took the best players in his mind he took the best players right big soccer game tonight yes the champions league he took the best players and then the second best players went with another coach and then I got everybody else and I had some pics as well at my friends I wanted to play with me and stuff like this and I got the third ranked team where Lord in the third place right and we didn't even have a coach I was playing coach I was doing coach and player which I really didn't like so I got burned a little bit but I didn't care at the time because I wanted to play soccer okay spurs tonight can't wait and a basketball tonight too that's right I think is I think that's the spurs I don't even know who's in the champions league tonight so I think it's tonight anyway so I learned a lesson from that okay the lesson is this it's the same lesson that a lot of comic book creators artists have learned throughout time no come on I'm Liverpool no spurs discussion so this is the lesson that a lot of creators and not just artists but also scientists that work for pharmaceutical companies or whatever technology companies or whatever it is right if it's not your company okay then you whatever work you put in is per hire and or for your case volunteer which was my case as well as volunteer I wasn't going to pay to do this soccer thing right and you don't own that right so the analogy that you're using it's like building a house and then having people to come in with a gun to kick you out is flood the flow is this you build a house on somebody else's property okay so you don't technically own the house because you don't own the property this person that's forcing their way into you to kick you out is a piece of crap right they've seen an opportunity they want power and who knows what's going through their heads right and they want control like you said right but that's the nature of the beast right now because you're dealing with parents and their kids and it's not a club that you formed yourself right I assume you don't you're not the registered owner of the club or the team okay so somebody must be the registered person for the team which I'm assuming it might be a collective of the parents so lesson learned would be this you're 100% correct I don't know that yeah one and this is a lesson that you can carry with you forever really it I've learned it myself as well right and that's the reason I do what I do in the way I do it and the way I would live my life and whatnot because I've come across you and I'm just gonna say this straight up majority of people in this world are beautiful brilliant they will lend you a hand when they can they will help you out they were they were they will give you advice they were they will hear hear you they will listen to you right they are kind people however there's a handful of people out there in every community there are pieces of shit okay that will take advantage because they're either psychopaths or sociopaths or they've been abused when there were children or there were been abused period they've gone through hard times and the only way they can interact with the world is to abuse other people or take advantage of other people okay learn to recognize those people so look at the person that's doing this to you and highlight some of the traits that they have right some of the traits that they have might be fast talker right sales you know I'm not trashing sales people I'm a really good salesperson myself I've done some sales in the past but they come at you like a generic used car salesperson they're and they want things done rapidly okay and they have a posse that come after you or you know lackeys that enforce their their power backstabbers are everywhere these days false charm false charm false charm Martin 100% and they're called backstabbers basically right I've come across a few of them and it's happened to me right so I've recognized the traits now and it's not something that can pinpoint or one thing it's a combination of things right so don't get angry don't get depressed don't get don't get disappointed this guy cannot have a constructive conversation if you disagree with him he escalates the aggression yeah those are some of the people 100% doesn't want the traits they take it personally they think it's a personal attack and for them to keep their status in their community they think the only thing they can do is crush you crush the competition right they're perfect example of our current education system what it what it breeds right which is competition and aggression okay hello chicho hello gentle chaos how are you doing we're dealing we're talking about something right now gentle chaos oh my goodness the mass on the spiral problem isn't it is intense gentle chaos the problem you presented well exhausting I don't have a solution for you but I'm gonna lay out the problem okay and I'm gonna give you my perspective and some of the things I encountered which is basically what I mentioned but it's it's exhausting it's exhausting he doesn't work he is a stay-at-home dad who can't work in society then this this is what you can do Hannah this is what I would do okay so all of that stuff said personally this is what I would do okay now I don't know I forget how old you are and you've been doing this for 11 years so you must be at least in your late 20s or early 30s or something like this right or mid 20s or something okay this is what I would do if I really wanted to pursue this if I really wanted to keep control of the team I'm almost 25 okay take a look at this and by the way I did all that soccer stuff when I was like 1920 right just a pup didn't know I knew there was bad people around but when you're a teenager kids you deal with those types of people is a different way to deal with grown-ups like the person I was talking to this this father this guy who was in coaching and who was you know carrying himself really high he was like in his 40s right so I was just a Joe Schmuck like I was I was a guy you could control right and again I don't hold anything against him I'm still I haven't seen him for like 30 years right but I would still talk to him and say hi I don't hold any ill will against him I just learned what I needed to learn from that experience right but this is what I would do if I really wanted to continue coaching and I had a good relationship with a lot of the parents and a lot of the kids I would go into the club there must be a centralized what do you call it committee that has clubs that manages all these clubs and sets up all the games and stuff I would go to them and figure out how I can register a team okay so get all the paperwork okay figure out what loops you have to jump through okay sit down and think about what it's going to take to do this right and then if you really want to continue coaching and you want to have control of the team right right now is the perfect time to do it approach every kid and about don't approach the kids yet okay first order of contact should be through the parents right if you're dealing with 19 and over or 18 over whatever is considered out though you could talk to them directly right I just talked to when I did this I talked to my friends I didn't go to the parents to say we're gonna do this right because I was their age right three one Liverpool Martin do you have money on it what's the odds I don't even know the odds so approach the parents and contact the parents I'm assuming you have contacts of all the parents contact the parents to say listen and don't go in there with emotion right don't go in there with anger approach them and lay it out straight out what you want to do what you want to do is this is you've been coaching for a long time and you have a lot invested in coaching in in this type of lifestyle because you love it okay and right now there's a little bit of conflict occurring in the relationship of the way you're managing the team and the way some of parents want to manage the team or have control of the team and because you haven't registered this team you don't have control over this whoever has control over this has control over this okay and they want to take that control away from you and that means you can't coach to the best of your abilities okay so what you're deciding to do is to register a new team okay where all this politics will not come into play it will not affect and really emphasize this that you don't want the kids to be exposed to the politics of the game and of the parents right you want to create a safe space a good environment for the kids to play a game to appreciate what the game is and you want to instill in them the what do you call it the gamesmanship there's wars that are given for this sportsmanship right you want to instill in them sportsmanship dedication and list out what you want the way you coach right and approach all the parents with this pitch because this is a pitch you're telling them to trust you and you have a pretty good track record 11 years right you're asking not telling them asking them to trust you to be able to form a team and manage that team the way you have done over the last 11 years without the politics of the parents interfering in the game and affecting the children and if they would be willing to register with you if they are go through the hoop go run through the whatever it is that you need to run through okay fill out the things get people registered get the down payment from them because it costs money to register these teams get down payment from them okay get all the names whatever you need to do and register your team okay and let every parent that you're involved with with their kids with this team know that you're doing this okay including the guy who's trying to muscle his way into this team that you've created this atmosphere this community really that you've created right this is what you're doing but first contact all the parents okay and contact him last maybe right but don't take too long don't take a week to do this okay do it within two days three days because the word of mouth will go out right and at the same time put the word out to people you know that are playing games in other places other teams that you might have enough room to bring in other players okay now don't make promises make sure you fill the spots with the team with kids in your team and if you need additional players then put the word out that you need additional players right so it takes it's gonna take a little bit of maneuvering on your part okay and it's gonna take a little bit of work but once you laid a foundation properly that you're in control this is your team and you will not allow politics to interfere with the game if it if it's not the ideal team that you want at first it will turn into the ideal team that you want in the future okay the ideal and there's gonna be mistakes you're gonna make mistakes and if you fail in your first attempt and doing this you don't get enough players wanting to sign up with you and you can't find additional players that can join the team to have a minimum number of players that you need to register this team because you need a minimum number of players to register a team okay do it again next year but start out earlier and let the word out okay so that's one thing you can do that's the way I would approach it if I really wanted to do it okay I hope that helps and I hope you don't get burned taking my advice if you do I my apologies I don't take responsibility okay take every bit of advice you get from anyone with a grain of salt and realize that advice is not someone put a gun to your head forcing you to do something which is something that I've seen a lot of people do they don't own their actions right and I've been a I've been at fault at this as well in the past you know I've taken someone else's advice and done what they said without doing the research and legwork trusting them and I get burned and I go oh I got burned because of that person no I didn't get burned because of that person I got burned because of me the decision I made and what I didn't the research I didn't do I hope that helps Chico how's my favorite person doing great spider besides my wife for sure and I'm assuming you have no kids I hope your kids are some of your favorite people I hope so anyway I hope so how's everyone doing I hope you're doing well we're gonna do mathematics today 20 to one for results really hold on a second live who's Liverpool playing against this is the finals isn't it my pleasure Liverpool final oh three to one is 20 to one odds okay okay three to one is 20 to one so I'm assuming Liverpool is a fate plus I can if three to one is 21 us for Liverpool then I don't know who they're playing I have to say that otherwise my wife would kill me a kiss yet going to the top so so nice man gonna do so awesome man I hope you give me why you will if you you've been around for a while spider I'm assuming you're gonna provide a fantastic home fantastic home aside from that aside from Champions League politics and sports and stuff like this that's an outstanding that's outstanding spider Hannah says so we're gonna do mathematics and today it's an open discussion you can ask questions but we're gonna lay out a problem that Tottenham hot spurs hey evil toast how are you doing so Liverpool is playing Tottenham in Champions League wow really wait a second Champions League I'm a followed European soccer for a while Champions Leagues all of Europe so two British UK teams are in the Champions League or is the Champions League the Premier first division thank you so much teacher sorry to get off topic I'm excited for the math today me too man I wish I had more time to look into this and tell you the truth I probably wouldn't have a solution gentle chaos it even if I looked further into it because of mathematics is intense all English final wow I didn't realize that was the last time Martin were Champions League was all English final I don't think I'm like I used to follow soccer in the 80s and 90s I've never seen a Champions League I don't recall seen a Champions League with all English final that's gonna be intense today in the UK wow I had no idea Italians and the German 2008 oh I didn't follow it in the 2000s in the 80s and 90s I can't remember was all English final that's cool man that's super cool you're in the bar Martin you guys gonna be busy today you're probably busy right now Chelsea that versus Manchester United that's cool both Europe League and Champions League had all had English teams in the final really England must be kicking ass right now I gotta I gotta start following soccer to see who the some of the top players are right now someone's gonna get drunk that is someone the whole country's gonna be pretty tipsy that's funny that's funny should we lay down the well yeah we have game on no kidding let me link you to the video that gentle chaos put out okay now during the last math livestream which was last week a gentle chaos asked if you could present the problem and could discuss it in this stream right and it's a spiral problem so I'm gonna that's the video he put out as a short videos beautiful video gentle chaos fantastic you should be doing ASMR physics math computer stuff right because you got it down packed man you're explaining it nicely gentle with it really and presenting a very unique problem and showing visuals and tables and flipping between the two and cleaning dude I wish I had you really I mentioned this I wish I had you as a physics teacher or a math teacher or teacher when I was trying to learn stuff right because you made it very enjoyable okay just to give everyone a rundown this is the problem that gentle chaos was presenting right and we found some solutions online the algorithms if you go to gentle chaos is a video gentle chaos reminds me of a Ben Frank true that true that I vote you vote for president what do you call it or doing all the scientific work right so gentle chaos if you look at the description and gentle chaos is video thank you he says gentle gift if you look at the description of gentle chaos is video he's got a link to a table where he's created where he's put the parameters and the variables in and sort of he's using those tables to create the spirals right and if you look in the comments of that video I sort of had my initial reaction I was like oh wow that's cool blah blah blah I'll tell you what my initial thoughts were and then I did a little bit of research and I found some solutions to the problem that I was looking for and one of them was just a write-up just a little story where the person said this problem came up when they were in a bar talking with someone and stuff like this and they came up with a solution and they wrote code there's code in Java and HTTP whatever and there's code there to generate the solution and I looked at the code and I'm not a programmer so it would have taken me a long time to figure out what the code said okay so I looked at the code is cool and there's different parameters that you can put in and generate your own spiral your own points right and then I found another place where it had you know someone had the same problem and the solution was provided where they had it was calculus it involved calculus and I looked at that understood some of it didn't understand a lot of it and I found some other links and I kept on going I was just getting deeper and deeper right into it I was like okay my brain isn't getting fried a little bit right so that's where I'm coming from right now where gentle chaos is right now okay and in the comments of that video someone else has provided a solution a formula that the person says it'll work for what gentle chaos needs now I looked at it I don't know if it'll work or not gentle chaos can tell us no let us know if it works or not all of that intro said here's the problem that gentle chaos is dealing with right he has a spiral so let's draw this here's a spiral now this is the center of the spiral and this could be a I don't know if I said out the solution links got blocked by YouTube what they got blocked they weren't blocked for mine wait a second someone just provided a gentle chaos someone provided a formula oh you know what you're right YouTube marks stuff as spam right like for me I've had I had to go into spam and approve comments because a lot of comments because YouTube's algorithm marks in the spam so if you go spam you could approve those comments if they are legit solutions right I just saw the formula so I might have not seen the links to the solutions I saw the links that I posted as the comments right but here's the this could be a comedian I posted another video there should be an area where you can approve comments YouTube get them could get them there yeah even to scratch if you look into the comments in the top so if you're looking at your channel if it's your channel you're looking at all the comments and wherever it is here's the comments here right that are posted if you look here in the top this is posted comments I forget what it's called and then in this part there's spam okay and if you go to this tap here it'll show you the spam comments you should be able to approve them incredible video spiders as I agree it was a beautiful video right beautiful video now here's what the problem is there's two ways let's assume you're standing here let's do different colors let's assume we're a person here and we want to move around the circle I'll move around the spiral right you just want to go around the spiral and there's two ways there's more in two ways but there's two ways that you could do your spiral let me draw another spiral here okay so let's do another mirror spiral here okay and again you're in the center I should have started at the same location I guess yeah let's do this way we'll start off at the same location there we go that way we're consistent same location and this is you again right and you're gonna move around the spiral okay so consider this one way you can get this person to move around the spiral is getting the person to move equal angle from the center of the spiral so what you could do is do this here's our x y axis right let's just draw a solid line here's our x y axis right and we did this in trig right what you can do is say okay the next location that this person takes you could do it this way break up each quadrant let's say into you can see this is too light and say okay if you're starting off here what you're going to do at every 30 degrees because this is 90 degrees right each quadrant 90 degrees so you break this into three parts every 30 or as many parts as you want we're just doing each quadrant it's gonna be broken into three segments right so 30 degrees apart so what you could do is say okay every 30 degrees you do a movement you're just gonna go this is the type of movement you're gonna do so you're doing the measurement your next step based on the angle that you're going okay so every angle here if this is 30 that's 30 that's 30 your next step would be 30 degrees away 30 degrees away and you can do that fairly easily the problem with this is the movement each distance here is not going to be the same because the spiral is going all the way out so it's getting bigger and bigger I mean you can see this visually right that distance from there to there both of those are 30 degrees but this link here is a lot more or this link here is a lot more than that right which is basically something that so what's the problem here's the problem ready this isn't a problem this is one way you could move around the spiral right and what's going to happen is your steps are going to become wider and wider right so that's one way you can move around the spiral now what if what if you didn't want to move based on an angle where all the angles are the same which is basically a concept of similar triangles right so if you have a triangle this is something everybody's seen and I think it's presented in grade nine grade eight or grade nine in high school right if you have this right so if this is let's say 30 degrees that distance gets bigger and bigger right now we're it's a curve right so these are called similar triangles similar triangles similar triangles right and so on and so forth that's the movement that you have here now what if the one thing you wanted to do is to make sure that each one of these links was the same right so for example this link here was five you want to make sure you're only moving five so in the spiral if you draw another let's draw a cartesian coordinate system again obviously my spiral is a little wacko right now you wanted all of these distances to be the same then you no longer can go based on the angle because what's going to happen is these things aren't going to be sitting there exactly they're going to be shifted right so the problem is this how do you because this one is easy you just do the angles you can run algorithms where you figure out where the angle is it's basically this doing a triangle and you're done right because you can do this you can just lay it out like this these are your triangles easy peasy right and another one would be here you go like this and the arc would be here this one is much harder to make sure all the distances are the same so what you're trying to do is to make sure the distance here is the same as a distance here is the same as a distance here is the same as a distance here and move around the circle and that means they're not all going to lie at the same angle okay my initial reaction was this I'm gonna erase this part okay my initial reaction was this my initial thought now visually I can I can tell you what the way I would imagine it happening I don't know how to do it mathematically okay visually my first reaction was this what if you can take a line take this spiral roll it out right the distance of it right cut this line into equal parts whatever distance you want let's assume this was your axe the axe distance right so take a line whatever the length of the spiral you need cut it into equal parts and then wrap it around your spiral right so just imagine taking this cutting equal parts putting one end here and just wrapping around it right now how do you do that mathematically I don't know right I don't know how you would wrap around the spiral racer kill their parametalization is going to look something like T cost 80 T cost assigned 80 that's the coordinates for some constant a okay I have no idea if that's true now but I know racer kill is better at mathematics than I am right higher level I'm good at high school math and elementary school math above that we got some people here that are really good at it right that's what we're presenting the problem so that's one way you could do it okay I don't know if that's an efficient way of doing it where is T is the parameter T where T is the parameter so T would be the parameter you're talking what the distance is you want between them for some constant a or is a your distance there did I miss something mask of Raven you're a good at math I would mask of Raven you're good at math agreed let us know and I'll run you through the whole thing it's speedy Gonzales wise here's the video that we're talking about by the way mask of Raven okay this is the problem presented by gentle chaos no a is just some constant it could be just one so where we're getting a from racer kill where's the a coming from and mask of Raven basically what we want to do quick problem we want to have a spiral but what we want to do is move around the spiral equal distance along the spiral so we can't base it on an angle it has to be some kind of algorithm that calculates the arc length of the spiral to move along right so my first idea was take a straight line cut into equal parts and wrap it around the spiral and here's the other thing that I thought I don't think that's viable I really don't know this sounds like Star Trek speaking to me and here's here's the other thing that I thought what if let's zoom into this area right so let's take this area here let's take these three points and zoom into them I've done like I went to the beach where I do a lot of thinking and I took some notes and laid it laid down the problem and did this thing so I'm gonna show you what I think the what I thought and the problem with what I thought right you can choose a as you want different a changes the shape someone would that be the shape of the spiral or the distance of the movement and that is basically trigonometry what racer kill has presented right so let's zoom into this area I'll show you what could be related right so we got three points here right let's take this down this this and this what I thought was this now this doesn't work when you're close in because the spiral is tighter faster it would make it spin faster okay so take a look at this what if what if I mean large array large array larger so my thought was this and I wrote this down here let me go to the and the discussion was presented in this in in our math folder okay for me the first thing this is what I thought about this is what I wrote I'll read this to you because I shout to say it a couple times before here's a question that I have which may send us on the right track I haven't looked into the answer yet is the angle from the tangent on a point on the spiral going to be the same from one point to the next through the spiral if so then we should be able to create the spiral with equal distance distance between the points for as many rotations as you want I think okay that's me trying to explain it as few words possible but here's a visual of it right what if the tangent you take the tangent for this line you take the tangent for this line you take the tangent for this line oh that's not a tangent let me draw the tangents properly because that's a tangent and here's a tangent here so my idea was this the way I was thinking about this if you take a tangent on a point to this point is this angle if you draw a straight line to this point is this angle theta going to be the same as the tangent to this point is this guy also going to be theta that's theta 1 that's theta 1 if that's the case there will be quite easy to figure out the angles and get the x y coordinates for the next point because you're going the same theta and the same radius right now this will work as the spiral gets bigger it will approximate it closely because the arc on the spiral is getting wider and wider I guess the spin on it right but when you get closer here the tangent is not going to work because the tangent from here and the tangent from here and the tangent from there I don't think we're going to be they're gonna have the same length the same magnitude okay Lord how are you doing I leave for 10 minutes and then all of a sudden you have a world of not not if the distance between the points is the same so if the distance between the points is the same it's not gonna work because the spiral here is tighter right like if I drew this properly if we zoom into this area imagine if the spiral is really big eventually the angle would be close to zero yeah eventually you're just going this this angle would come tighter and tighter and all you're doing is just doing the same distance right very good the election in Belgium were really controversial we're talking werewolves you're talking Belgium elections yeah so that's where I am at right now I looked at some other stuff but the mathematics was too much for me I couldn't figure out how they want to have had about doing this I looked at angular momentum angular motion and stuff like this the angle gets smaller every time the angle gets smaller every time exactly right which isn't a solution for the spiral close to the center it's not gonna work because the I don't know what the error would be what the difference would be between theta one here and theta 2 here right I'm assuming the error on it is fairly large the the difference right but as you get further and further out this data is going to equal that data right or approximately equal the problem was really imprecise if you don't have a parametalization of the spiral what is parametalization of the spiral I don't know what that really means tell you the truth I'm looking up parametalization now because this problem is really parametalization is the process of finding parametric equations of a curve a surface or more generally a manifold or a variety defined by implicit equation the inverse so basically finding the function for the the equation right for the for the curve right so with this method you would have to have this function f of x that it wouldn't be a function as a relationship right like you said parametalization of the spiral I guess that's the proper terminology for it I'm not sure looks a little bit like for the new chief yeah but not so right so you would have to be able to present the spiral I don't want to say function because it's not a function that doesn't pass the work like this as a relationship you have to have some kind of equation for it and then you could take the tangents and then from there you pretty much said I think no it's not a function because it doesn't pass the vertical line test right so for a given x point for this x value a function basically means for a given x you could only have one y but for this x we have one two three four different y's the way I've drawn it and that's called a relationship it's not a it's not a function okay let's stick to the curves it's how you get from a parameter t to the point on the curve so essentially you have a function going from an interval to a curve you have a function going from an interval to a curve fails vertical line test fails vertical line test like I said it's going to be t cos t t sine a t okay so racer sorry a gentle chaos racer kills me stating this where t was your parameter and a was your whatever constant you had if I recall correctly yeah for some constant a where t is the parameter I should have paid more attention left I should have paid more attention math class think how that looks as t goes from 0 to 5 for example so for example when you say t is a parameter racer kill what parameter are we changing with the spiral it's some kind of parameter but what parameter are we changing so if it's a parameter would it be a function we change t well what is t like what what does t define right so for example for for a circle right the radius really decides everything right so if you change bar you change the size of the circle how is that really visually to the spiral we've drawn t varies for sure but how so for example if t is 0 what happens to our spiral if t is 5 what happens to our t is from some interval say 0 to 10 okay so what would a t of 0 equal and what a t of 10 equal is t t of 0 okay for every t in an interval you get a point for every t in the interval you get a point here okay so these would be here let me erase this because if you remember trigonometry x y and you can consider your x axis to be cos theta and your y axis to be sine theta right and racer kills mentioning would give you the point 0 0 t 1 gives you the point if a is 1 so that's the next point is that true so if we're doing the spiral let's do the spiral the same way we did here so what we're saying is or what's being said here is this a point on the graph would have the coordinates x and y right but x is cos theta and y is sine theta for just a simple circle but based on what racer kills saying the point is really t cos a a theta is a theta we're saying t is that the way we wrote it oh a t a t and t sine and as you change t you change the location on the spiral and if t is 0 you're at 0 0 here here that's what racer kills one way to parameterize para para meteorization maybe someone would correct me if I'm wrong is as a similar animal to change is as a similar animal to change of variables of which you substitution is an example the difference is that in changes of variables you have the same number of variables before and after the change whereas in parameterization you end up with fewer variables than you started with you end up with fewer variables than you started with no it's not the points you're talking about but it is points on the spiral oh so it doesn't give us the points that we want the movements for but it's the points on the spiral and once you find the points on the spiral then you can calculate the distance between the points based on the curve is that correct racer kill so what you're doing this function this is well I want to keep on calling function but it's not a function this here gives you the points on the spiral and once you find the points on the spiral you can calculate the distance between the points on the curve okay okay so this is a two-step process you need to take your curve and I mean basically taking something that's infinite and reducing it down to point for right infinite number of points reduce it down to points and then find the distance between them I forgot what the term is for it to make it discreet I guess it's not really discreet because they don't have to be discreet holy I need to learn trigonometry I understand almost zero but it's interesting yeah I just know the foundation of sort of what's going on but not as you have predicted correctly chicho we have double capacity this evening I need to go and lead the troops okay enjoy the game Martin I hope I hope a UK team wins which they will on British European chef say can you spiral in the other way for Australia sure we go right okay racer kill that so basically we're defining the spiral first before we can even get into making the movements equal distance I don't know if that helps you out gentle chaos hey guys I just turned in are you all finding equidistant points on a spiral or something else yeah that's exactly we're trying to do collapse the moment collapse the limit yeah okay so wait what's the confusion with keep up announcing this metization I don't think we're confused about it now I think we understand that parameterization is taking a curve and representing it as points right well if you don't have a proper definition of the spiral how could even solve I true that I'm assuming I always I always work with functions so I was I keep on thinking this as a spiral of a function and then from a function you can take the tangent I'm just assuming because my math isn't powerful enough that there's an equation to represent the spiral okay and all you would have to do is find the tangent to the points but that's not going to work when you get close to it that's where I got stuck right I think this is called parameterizing curve by arc link okay that's what it's called sounds legit to me oh make if you haven't seen this is the problem that I'm gonna present here oops I'm gonna find the video again a copied parameter a parametization this should be the video that was presented by gentle chaos the solution of problem would be that this is not a arc link parameterization the solution of the problem would be that so the solution of the problem would be I think this is called parameterizing the curve by arc link so the solution would be parametizing curve by arc link so that would be the solution would be distance between these points but first thing you would have to do is parametize the curve right so you would have to define your curve which is from what I understand that's what it's really saying you have to define your curve gentle chaos what a problem you gave us oh by the way gentle chaos why did you want to do this I looked this up and I couldn't believe the Archimedean spiral how to generate the Archimedean spiral is super cool of how to do it and then I kept on going on the rabbit hole how it's used and stuff is used for condensers air condensers and for clocks and stuff like this I'm not sure I'm pretty sure there's tons of applications for this going the same distance along the curve but I'm not sure what gentle chaos was using it for and as far as I know this is as deep as I could go with it like I really can't go any deeper than this with it arc link parameterization means that you have a curve where the distance along the curve is equal to the distance distance in distance in parameter and I really don't even fully understand what that means for example coasty site is an arc link parameterization of a circle is that what it's called so the core that this is the parameterization of a circle I have no idea what a fantastic way spend your time right just kind of think of a problem try to solve for it that's good exercise that's like that's like that's phenomenal just the chaos I love it right so basically a racer kill is saying what we talked about I didn't notice when I created the trip videos where we talked about the stuff that if we draw a circle if we draw a circle as soon as you say that this is the point here because this is x and y and again x is cos y sine on a unit circle then cos theta and sine theta are parametralizing the circle I like applying this to the Milky Way yeah Milky Way 100% where are we we're on the outskirts of the Milky Way racer kill is that not equivalent to saying that the points are equally spaced along the curve which is our result no because the distance between the points along the curve is different from the distance between the points yeah because the distance between the points if we do it here so the next point would be here the distance between the points would be that but the arc length is an approximation for the arc would be this so the arc length is greater than the distance between the points fresh Kiwi thank you for the prime subscribe that's cool for example the distance between 1 0 and a negative 1 and 0 and 1 and 0 is 2 but their distance between each other along the circle is pi yeah and that's what racer kills mentioning is this the distance between 1 and 0 here and here on a unit circle is 2 because if you have an arc link or if you have a radius of 1 then that's 1 and that's 1 right so that distance is equal to 2 but the arc length this distance is pi so this is 3.14 dot dot dot right so if the that's the maximum would be I guess well with the maximum be that I guess you could put the points right beside each other the distance could almost be 2 pi right but that's a really good example odd make okay so I've actually done something like this before you have nice you have the parametral parametrization let's just assume something something x t is equal to RT cos t y t is equal to RT sin t what you would what you want to do is find the line integral between any two points on the spiral say t and t prime or t theta then you have to try and find an algebraic solution to the integral which doesn't work but you can't get a good approximation which should be fine since gentle chaos does physics I can link a stack overflow answer to it in this score dude odd make thank you gentle chaos odd make some kind of stack overflow thing our example was concerned with distance along the curve though but this is a curve and dice power this is a curve right if you if we take this right let's assume we're taking this let's use a different color let's assume we're taking these two points if you extend these two points down right to a central point then what you have here if you extend this it's a larger circle right well what happens if you take these points and put them across each other you have exactly that guy right so it is a curve it's just an exaggerated curve are we talking about equal distance along the curve or equal distance equal distance along the curve was concerned with distance along the curve though yeah equal distance between the points I didn't realize it was this hard to do this really I looked at some of the stuff I kept on clicking clicking clicking and you would have integration symbols coming in from the limits of this to this and doing this and this this reminds me of my time at ninth grade standing mat to a certain degree it's just been a long time so I don't remember much myself yeah and you definitely need more than grade nine mathematics to do this I watched the video and I'm somewhat confused as to what we're trying to do we're trying to go along the spiral but equal arc length along the spiral so for example if you could you know if you think about it as a line if you think about it as a line you want to make sure your steps are the same distance right and then just imagine taking that line and wrapping it around a previously known or graft spiral so you would take this guy and go lay it down and that would assure that the distance between your points was the same along the arc length right like for me that's that's the way I visualize it and that seems simple enough well you have a I guess that's what it's called your paramet parametizing the curve and then taking a line that is equal distance and we're wrapping it around the curve how to do that mathematically in a spreadsheet right great problem though good for the brain this forced me to look at some stuff that I looked at at university that I hadn't even like I probably didn't understand them when I looked at the stuff let alone 30 years later and we want a parametric form that produces a spiral like that basically I think so yeah I had a sadistic multivariable calc teacher sign something like this as extra credit and undergrad I didn't really solve it but I fully utilized the power of the internet nice nice yeah I don't I can't remember if we ever did anything like this in math and we did some crazy stuff in undergrad some of the problems were like oh my god like hurts to think about it right but I don't think I ever encountered any problems like this you get the arc length of a parametric curve x y by the integral of square root that that's what you just typed in there uh razor kill that's one of the things I saw in one of the one of the links that I followed and it took me to certain math forms right where's the derivative yeah yeah and I haven't done calculus for so long I sort of you know skim through it read the formulas and I didn't spend too much time trying to connect up the parameters and the formulas sort of different things you can write this in Cartesian coordinates it is just easier to parametize it one day I'll go back to doing steady math again maybe maybe once we make enough content for elementary and high school we'll start taking calculus again cool I think that's as far as we can take it I believe so anyway it's weird certain problems that's a thing with mathematics or physics or science really certain things seem to at first class they should seem easy but then when you look at it you try to define it and prove it and come up with the solution they become much harder right look for example one of the things that blew my mind way way back in the day I can't remember when I looked into this or studied this is uh taking a global map how many different colors do you need to be able to make sure no country is touching another country on a map with the same color and the answer is four and people have known this for a long time but the proof of this hasn't wasn't done until like 50 years ago or 80 years ago or something like this calc 3 is really neat a lot of the interesting stuff with physics goes to this level oh really I went for me the highest level math I went was a calc 3 or cal I can't remember what it was but I took calculus all the way to the end of second year calculus I didn't go to third year calculus I went to third year uh statistics but I didn't go to third year calculus because I was getting my minor in mathematics not a major in mathematics my pleasure gentle chaos I'm sorry if I don't have but a lot of people provide solutions for this and I think it was odd make that said he's going to provide some stuff in the in discord so I hope it helps you out I looked at your tables and I try to figure out how you approximated the the first column in your third sheet where you're approximating the distance that you were going to 720 where you talked about the acceleration I couldn't figure it out um what's super cool super cool it's just good exercise talking about this and thinking about this and seeing how this relates to our unit circle really trigonometry that that's the basis of all this right that's the basis of all this thank you gentle chaos for putting the problem for us to look at uh and thank you everyone for providing solutions for this or the next step well here's a here's another fun problem here's another fun problem is this from your synthetic calc three teacher professor was there a moment in your life when you needed to understand understand fourth dimension I've uh had that few times only to feel that's beyond my skill to understand uh cyberfan fourth dimension for the way I perceive it is time time is the fourth dimension and yes the fourth dimension was extremely hard to get a handle on it okay but for me I was able to get a handle on the fourth dimension through the realm of that and fusions okay and then once I did that to get a visual to get a feel for what it was and then I understood it on a mathematical level to a certain degree to my level anyway to my satisfaction and all of a sudden it's just everything fell into place where I read Einstein's paper on the electrodynamics of moving bodies and I finally understood why we can travel at the speed of light because we get a division by zero in the equations in the mathematics so for me the fourth dimension is time and for everyone really the fourth dimension is time this problem is pretty crazy it's pretty crazy super cool though like just imagine without the internet without technology sitting there with candlelight trying to come up with a solution to this and it would have to be visual you would have to have drawn all this stuff out and connect things and this that's the way the mathematics was done every even integer greater than two can be expressed as the sum of two primes every even integer greater than two if you can find either a proof or counter example you'd be the most famous person in mathematics yeah some of the most simplest statements are the hardest proofs in existence right every even every even integer greater than two can be expressed as a sum of two primes let's present that okay we're gonna take all this down now gang fun I was for me I was nervous doing this by the way just letting you know because I thought there would be an easy solution to this and I hadn't come up with one before the stream so I'm like oh my god I couldn't even find a solution to this so I'm glad to find out that it's not an easy solution here's a proof that needs to be found out and as Audnick says you'd be one of the most famous people in mathematics you could prove this and it's this right so let's write integers 1 2 3 4 5 6 7 8 9 10 11 12 etc right well these are natural numbers but let's call them integers okay so every even integer greater than two so it is even integer greater than two well I've written down the integers so even we're talking about four six eight 10 12 and so on and so forth right the problem is this or the proof we're looking for is this prove that every even integer every even number counting number can be written let me say this correctly can be expressed as a sum of two primes right so take 10 for example 10 you can write down a 7 plus 3 that's the sum of two primes 12 you can write down as 9 plus 3 is 12 7 plus 3 is 10 and so on and so forth right so no matter what even integers you have as a sum of two primes is that correct as a sum of two primes so if you go to let's say 48 what can we write 48 as I don't know 50 well it's got to be the sum so you can't subtract if you could do subtraction you could go it's 51 a prime I don't think 51 is a prime let me go to prime numbers that I know by top of my head let's check it out so prime numbers we know are 2 3 5 7 11 13 17 19 right and then you got 23 29 31 and these are called double primes they appear together in double primes or whatnot so if we just add these guys let's go 19 plus 17 61 7 16 36 so 36 you can write down as 19 plus 17 right and so on and so forth if you can prove that this is true for all even integers greater than two you'd be one of the most famous mathematicians in the world and the odds are you probably win like a million dollars because there's prizes for certain proofs right you can just let the math take you take you there best way to think about it physically is where three directions and then use colors this is for the map uh mask of raven I use simple cube uh thing but now when think of it both hints give me much better understanding that that I went to complex you use the whole board I use the whole board I sort of study higher dimensional spaces for my phd in my qualifying exams don't kill me don't do it it hurts math is it's called the gold box conjecture it was first stated in 1917 42 it's still unsolved and we have even sniff sniff to prove so wait a second is this the map one odd nick uh cyber you can just let the math take you there that's way to think about it physically is with the three directions and then using color could be false oh 17 plus 31 that's right equals 48 so 48 would be 17 plus 31 cool my prime numbers go to 31 and 37 37 and I think 41 right yeah I'm having trouble with this problem find a quotient and the remainder if that is divided by that I'm fine dividing by x but when plus two sure we can do that add it to it just uh read on polynomial division and nine is in front no nine is not prime uh no the global box conjectures the problem I told you guys about about integers oh so this is so there was someone that came up with the proof they already killed the proof the proof is invalid odd nick really that's cool let's do long division never can do synthetic division on that too right as the gold conjecture we're proven yet rest in peace I was talking about four dimensions you can visualize the fourth dimension as color okay where just like a 3d object can't go through another coordinate red 4d objects wouldn't go through red 4d objects no hasn't either cool so we got a long division here of this x plus two and you have what we got three x to the power of five still no idea what would even look like yet I had fun trying for a bit x to the power of five three x to the power of five uh plus six x squared plus six x squared and plus seven plus seven we can do long division on this right so the one thing you have to ask yourself constantly and by the way I've got a whole playlist on long divisions for here let me find you a link because we're going to go through it quick chico long videos polynomial long division let's see if we got one oh my god I got one right there there and you know what I'm just going to give you the search there's a whole bunch here that we've done okay and I do a whole series if you go to language or mathematics series 3a and 3b lays it all out for you these problems were actually fun for me for some reason usually with proofs and stuff no one actually imagines four dimensions mathematicians usually use metrics it's ironically one of the most non-visual fields in mathematics so take a look at that and that's the problem with mathematics really you have to be able to visualize it for me anyway there are people I know they could do it or have known they could do stuff without visualizing they just rely on the algebraist like wow wow so what you ask yourself is this his math is cool get high give your life to the math god it's the only demand demand blood sacrifice so you always ask yourself what do you multiply x by to give you three x to the power of five right and that becomes three x to the power of four right and then you multiply this and this by it right so three x to the power of four is three x to the power of five three extra power five times two is plus six x to the power of four okay now what you have to do let's wrap my sake let me grab my first board son real quick usually you got to sacrifice your own sanity the mathematics right so what you got to do now is subtract this from that right and I like adding so all I do is multiply this by negative one so we just change the sign and I add them so this kills this now you can't subtract x to the power of four from x squared they're different powers right so all you do you put this down first the highest power first negative six x to the power of four and then you put down the rest right and remember this is x squared so there's an x cube there as well if you want to save us put a place order so you don't get confused you could put down plus zero x cube plus six x squared plus seven right do it sequentially okay next thing you ask yourself is what do you multiply x by to give you negative six x to the power of four that's negative six x cubed so this multiplies this in this so this becomes negative six x to the power of four minus 12 x cubed right multiplied by negative one add so I change the signs and add them this kills this this becomes 12 x cubed plus six x squared plus seven what do you multiply x by to give you 12 x cubed 12 x squared plus 12 x squared so that's 12 x cubed plus 24 oops 24 x squared change the signs and add them this kills this this becomes negative 18 x squared plus seven what do you multiply x by to give you negative 18 x squared you multiply by negative 18 x minus 18 x so that's negative 18 x squared minus 36 x change the signs and add them this kills this this becomes 36 x plus seven what do you multiply x by to give you 36 x 36 so plus 36 you get 36 x plus 72 change the signs and add them you get negative 70 so your division statement would be this if you're doing a division statement you would go three x to the power of five plus six x squared plus seven divided by x plus two is equal to this three x to the power of four minus six x cubed plus 12 x squared minus 18 x plus 36 plus negative 70 or minus 70 over x plus two right you could do this through the synthetic division as well i'm just going to get caught up with chat proof stuff that we're actually imagines on because math is cool get hype get sacrifice cool uh yeah best thing to do yeah right that one visual for 4d is to use cube within a cube that loops okay you kid but there are people who would slaughter their families for solutions for famous problems like reman's hypothesis wasn't reman's hypothesis uh hasn't that odd make i guess it hasn't been proven i thought it was for some reason i bet andrew wells can solve it yeah but those visualizations aren't usually substantial enough to find new interesting things most work is done by imaginary imagining analogies between 3d and 2d space and thinking how those change between 4d and 3d really that's cool great wills probably can't at this point he's old and firm and probably took enough effort for life okay i gotta look up andrew wills i think i know who that is but i gotta we'll see his face before i know i love these discussions i'm learning so much from these fantastic oh yeah this guy andrew wills also yeah i'm just i'm i'm guessing there's only so much brain power left after you do certain things right you're gonna down mathematicians do so with people like teres tau or peter schultz we need teres for the twin prime conjecture i gotta look up teres teres tau tau tau teres tau oh wow this guy he's that powerful his mathematics really gang i didn't know i didn't know he's that powerful that's cool pure schultz i gotta look at peter schultz peter schultz wow youngins youngin mathematicians awesome fresh blood rh has not been proven i would have thrown a party really masculine raven has a remincypophysis thank you very helpful i also bookmark some of your long division and synthetic division videos my pleasure man i hope you you enjoy i took a fair bit of time doing this because this really hurts a lot of people when it comes to mathematics in high school it takes people out of the game and i i made some stuff initially when i started making math videos specifically tackling stuff that people had a hard time with because i wanted to make sure that if people were hitting obstacles they could go beyond right a weaker version of twin prime constructions proven that's fair but he does a lot of work and analysis to do this is insane which i could have his kids awesome which guys this is just a terrorist guy or the other guy that's awesome well fun wishes kiddos if you're actual physics you often go beyond three to four dimensions tau has done quite a bit over many disciplines pretty rare really that's cool yeah sort of but only strength theory and other high energy stuff terence tau has math power levels past whatever high number you can think of really ought mech i gotta look this guy up subchichoke jake up how are you doing how's life it's proven that there exists infinitely many pairs of primes with difference at most 246 really all pairs of primes at most 246 it's it's proven that there exists infinitely many pairs of primes with differences at the most of 246 really oh wow the bound used to be 7 million yeah and that was proven by someone who used to work at subways really that is trippy that's cool oh terence ter absolute mad mad serious i gotta check this guy out i don't know this guy no man have you ever looked at supersymmetry supersymmetry i looked at stuff a while ago when i was looking at string uh string theory the plus ronge lens is where it's at i'm in terrace but it's also totally mary peter shoals who you you attributed to it was proven to by yatang zang but his bound was much larger than 246 dice power have you posted an explanation of the trig identity a cos theta plus b cos theta cos c cos theta minus five no i haven't done that yet dice power the identity stuff i'm going to be doing as the second part of trigonometry the videos we've put out i i paused not paused i i put out a set of videos in trigonometry and i ended it that first phase at a point where you could branch off into trig functions and trig identities so i need to create those branches i haven't known those yet unfortunately i'm going at 420 speed brother i'm doing things that i love and things that i well i'm doing things that i love and i love many things so i go a little slow on creating specific content right a lot of people that have been following my work for the math for the comic book readings are like are you ever going to finish off series for it i'm like yeah at some point we will yeah i have mirror symmetry is part of strength theory and high energy physics have you always been good at math i'm not sure who that's towards for me uh no i like my math my math power is much below the math power of some of the people talking on chat right now right for me uh what i love is data i love functions as well i love high school math but i love large data sets and what you can do with large data sets and what they give you so for me my mathematics is pattern recognition and i'm really good at pattern recognition just intuitively i don't know how that came to be it's just i think it's a human innate ability we're pattern recognition machines and i think i just at some point when i was a kid i just looked at patterns everywhere so i just intuitively got into it my math ability to recognize patterns is not as powerful as i would like it to be uh if the question was for me still noob student rare popo have you looked into the seven millennial challenges the only one solve is the point point care conjecture by gregory perlman a 400 page proof he didn't accept the one million prize he felt that work was rude unprofessional is this the russian guy jacob that he lives in a one bedroom apartment and he just did the stuff and he didn't take the one million dollars no had a bad time until i learned some proofs a generally thing i'm bad at math still but i guess my i'm actually not odd mic you're not bad at math but our abilities are to our own standards right like people say i'm really good at math i'm not an odd mic because math is so much more powerful than mine and he still thinks it's not good at math right okay do you do uh a little chemistry math questions i used to chatty like i i dealt with uh chemistry before 20 years ago i was teaching a little bit but i haven't done for a very very long time so i can't remember most of chemistry there's a lot of geometry associated with chemistry but a lot of chemistry that i was dealing with was just balancing equations for my students like trying to explain that to them and that's just fractions that was easy i believe the thought that proof was enough of a prize for him and he wasn't going uh doing it for the money yeah yeah for the love of it it was directed towards all the super smart people in this stream it's really i was sure it was a failure on the oryx part but i guess not uh pearl man is kind of a sad case he felt betrayed by the math community it's too bad all really that's unfortunate i want to look at uh i want to make sure this is the same person i'm thinking about pearl man math is this the russian guy yeah this guy this guy i really liked man gregor pearl man oh did he get burnt i'm sorry to hear that i i looked at this guy many years ago that's unfortunate is this the same guy i looked at before no this different guy that's unfortunate chicho if you love data you must have read into the development of big data amazing stuff is what i hope to go into later in my life you're talking about like just through technology like with metadata and data and just processing data for sure i if if these corporations if uh weren't so evil i might have gone that direction but i found most of these corporations that are dealing with big data to be completely there's no morality there's no they're not they're evil so i just didn't go in that direction in trepid how are you doing how's your weekend been so far pretty good brother pretty good i got the students in panic but we wanted to meet up so i'm doing a lot of running around yeah that's him the russian guy yeah that's unfortunate you know what this world is too brutal for many amazing people i've known some of them personally and i know some of them historically and this world is brutal for a lot of people and i hope uh we're able to improve this world so that those among us who are brilliant who are sensitive who have a huge amount to contribute to our society that just can't deal with the way society is uh to shine right actually he didn't accept it because another person have contributed just as much to the solution so there seems to be a little bit of discrepancy between why he didn't accept it could you talk about strategies to factor in higher degree polynomials uh it's you should do um the strategy that's uh the mask of raven here so if you have a polynomial here let me let me just quickly catch up with chat if i can uh is that so i must do that or real quick for what it's worth i'm a girl i'd make you a girl i figured you want to have few you want to have mathematicians children not a dude doesn't matter but i know something not knowing any female mathematicians except for mariam uh mary kazzie my i gotta look that up i gotta look up your hero nick my hero uh discourage discourage me at times so i should clarify informant stuff if i was a female i wouldn't mind having some crazy mathematician kids as well for the record okay isn't iranian mathematician really and a professor of mathematics at stanford university her research topics include tech miller theory hyperbolic geometry uh ergodic theory and uh symplatic geometry awesome awesome awesome the internet is one giant data set of one and zeros yeah hopefully soon to be quantum just joining here hi chicho hello curious debon how are you doing we have some polynomials going here yeah we have some polynomials and a lot more unfortunate that she died so yeah oh what she died what she died she's dead no died in 2000 how old was she oh no 98 i gotta do it with my fingers 87 40 years old oh that's unfortunate god dang it just sad how these uh stereotypes still exist uh that you have to clarify that you're female nice to chat with you yeah my boyfriend is going going into ai and stuff i thought about it but i am also worried about ethics yeah yeah i cared i cried for hours when she died what a challenge my older brother is developing the super niche and technical field in ai he's turning 25 next year and he's getting a phd cool it's not a big deal it's just that i think it's important to clarify yeah for sure oh i really want he's looking at oh what he's looking at oh she's really cool actually the only iran mathematician to win the field matter really and the first female to win the field matter awesome depends feels matter whoops x i meant to convey with uh have no uh clues of niche if you like i can link his recent research paper on chat so take a look at the polynomials this is the way you do higher higher order polynomials f of x is equal to a x to whatever power you use all the way to a constant plus c okay so if you're doing it manually what you're looking for manual we're just talking manual here right if you're doing manual then the first ones you should try are going to be this the possible factors of this let's call them x are going to be the possible factors of this divided by possible factors of this so factors of c divided by factors of a the first one is always going to be one or negative one okay so for example let's do this um two let's go three x to the power of five plus seven x squared plus 12 right so possible factors of this that you can do manually would be plus or minus one plus or minus two plus or minus three plus or minus four plus or minus six and plus or minus 12 those are all the possible factors of 12 divided by possible factors of three which is plus or minus one and i should put commas between these plus and minus three right so you should always start off with one and the way you can do it is you can just punch in find f of one right now if you're given a polynomial like this these are all positive so if you put any of the positive numbers here you're not going to it's not going to equal zero because what you're doing here you're asking yourself what f of f of one is basically you're asking yourself what's y when x is one so all you got to do is just punch it in here one to the power of five plus seven one squared plus 12 right well one to the power of five one one squared is just one so this becomes three plus seven is 10 plus 12 is 22 so when x is one y is 22 for this function so none of the positives are going to work let's try negative now i don't even know if there's a factor for this that we can find manually right i'm just giving you an example negative one to the power of five plus seven negative one squared plus 12 negative one squared is one so that's just seven negative one to the power of five is negative negative one times three is negative three right so negative three plus seven is four four plus 12 is 16 right so when x is negative one y is 16 it's not a factor because it's not on the x axis and if you want to know what this looks like this is to the power of five it's got a positive thing in the front here so we know it opens up like this we just don't know where the x intercepts are there's going to be at least one right because this thing can go like this like it needs to cross the x axis at least once right so you can do this and find one that works and then use synthetic division on it and if you do chicho synthetic division in search there's a whole bunch of videos we have where we go through doing factor and polynomials like this okay but that's just the general gist of how you go about doing that either i normally understand a few first few sentences of a research paper and then kind of skimming over the rest and okay let me find that you too i usually just read the abstract and pretend to know the rest only biology papers can i even guess as to what they're getting at damn the paper can only be accessed by having an account on the website the title is this local representation learning with a convolution auto encoder wow there's a fact and a fact of formula for the roots of third degree polynomials but it's horrendous yeah i would even third degree i would just do it this way i would do synthetic division and just find them like this and if there is none that you can do manually easily just use a calculator but usually if you're doing in high school they're giving the ones that work out right get us access j i generally think biology is the hardest undergrad major so much memorizing and i have no idea how people stick with it odd make i agree with you i biology grade 10 i couldn't go take grade 11 or grade 12 let alone undergrad just a terminology the memorization was too much for me i think if you have no linguistics you'll be really good at biology because you can connect up the meaning of the words and stuff well don't ask me i switch from biomed to math nice i'm trying there used to be an unblocked version i should have said too bad uh erin what's his name erin schwarz uh there weren't more people like erin schwarz to release all of these papers scientific papers that should be under the public domain to the public right i don't like paywalls and all these research papers that you have to subscribe to and there's gatekeepers of publishing causes that are preventing certain papers to be published i don't like it so you can be threatened your brother i was gna do a biophysicist i thought i took organic chem organic chem i i've done some organic times well rare organic chemistry as well rare the way you're doing it only works if the polynomial has a rational root though yeah agree like this only works for rational roots right because it's manual that's why i say when i say manually we're talking about rational roots for their irrational stuff this is not going to work you need you need some kind of algorithm and rational irrational roots i think they're approximations you do racer kill isn't it the non-rational roots of polynomials you're running algorithms you're approximating the solutions a very very good approximations from what i understand i haven't done it for a long time i've looked into it for a long time yeah this is what you do in high school math you're doing it this way i'm trying to remember but who but there is a russian woman who was starting up services to torrent research papers or something was she nice i hope so and i hope she doesn't get burned like erin shorts that right suicided maybe yeah our our society needs to defy the financialize everything right my solution to this stop giving money to large corporations erin shorts mit tried to free all the knowledge behind the higher academia paywall and got looked up and got according to many got suicided right did he commit suicide maybe either way the the state the most powerful entities we know on this planet went after him just the same way they're going after uh julian assange and they go after manning right we need to take power away from these centralized institutions in almost any way we can for me personally i refuse to work for them now and i do this and some other things no i can't seem to bypass these stupid block access sites i asked them to send over a copy uh gt gtg i got to go now but if i if it replies i'll post it in next stream awesome and jaca feel free to post it in the math forum on discord okay thanks for looking into it i'm not sure what the paper is about but anyways it's champions league final time have a fun stream guys and girls enjoy the champions league i got students so i can't watch it but i'll try to find something on the stream 2020 what's the 2020 refer to mankas 2020 i think there there are u.s companies that are trying to sue her but it does nothing because she's in russia and russia doesn't care so won't extradite her or anything nice that's good i think our freedom is dependent on people in other countries releasing information for other countries and bypassing the control mechanisms of other countries so americans can do it to uk to france to russia and russians can do it to us china and all like that's what's needed my dad is huge spurs fans so hope your team boosts his swazi seafan rooting for liverpool i have many egyptian friends see you next time see you next time enjoy the game enjoy the game oh that's fair i'm danish so my entire family is in love with ericsson is he still playing wow he's was around in early 2000s late 90s i think wasn't he or it could be a different ericsson there must be so many ericsson's around crazy fun guys fun stream i don't know if gentle chaos still around the gentle chaos thanks for putting out the problem for us augnek thank you for providing a lot of info uh jakep rare bubble racer kill thank you very much thank you very much mask of raven i'm just scrolling up there's a lot of people that participate here a lot of math going on a lot of math going on fun christian ericsson so much younger i think christian ericsson okay i forget what the first thing of the previous ericsson was yeah i used to follow soccer religiously almost but i stopped professional sports were starting to piss me off but i love soccer and i love wrestling and i love many many many many many sports but in our school system here they in the last 20 years they've taken a lot of funding from academia and put it into the athletics department right so there's a lot of kids that i'm that i work with for to teach them mathematics because they've been missing a lot of school because school pulls the team for the school team they're playing they pull them out of school and they send them on tournament tournaments for a week right or just random games during the week where they're missing a lot of math and physics classes so their marks academic marks are just completely dropping uh so that just and one of the things that convinced me that professional sports were very detrimental to the health of the academic life of citizens was in canada in the mid-2000s early 2000s there was a hockey strike so one year or canada in the united states one year the nhl there were no games and during that one year some of my students that were struggling greatly right all of a sudden they didn't have they weren't watching games every night and stuff they had time to do their homework and study and that changed their lives dramatically where some of those kids maybe they were in grade eight nine or ten or something like that if that strike had not happened they would have never taken grade 11 and 12 physics and math or chemistry and a lot of those students ended up taking great physics math physics math and chemistry 12 and graduating going into academia instead of spending their time watching sports so that made me move away from professional sports in a big way in a big way i follow a bit of soccer but i'm mostly a hockey and baseball fan baseball is really fun to follow if you like stats lots of fun things too yeah baseball is basically all stats right and a lot of drinking i know people that play baseball and watch baseball there's a lot of drinking and a lot of stats going on baseball you teach in america i teach in canada that's incredibly tragic not necessarily sports fault but so tragic how our culture values different things yeah yeah and the pressure they put on the kids the it's incredible it's incredible right it's crazy we should call it a stream gang that's a couple hours of nice mathematics okay thank you for being here everyone thank you for participating thank you for educating me thank you for sharing information thank you for the great discourse dialogue and the fun times right i enjoy these very much i hope you guys have a fantastic weekend and if you guys are watching the games i hope the games go your way okay i gamble a lot with baseball it it is fun but not always lucrative no there's a lot of fixing games and professional sports bye everyone hope you have a fantastic weekend and i'll see you guys in the next