 Hopefully the live stream is kicking in. Good, good, good, good. Hello, everyone. Hope you're doing well. Today is October 22nd, 2020, and we're doing a math tutoring session. Number 61, as far as I can keep count from when we started this stuff. Let's do a little mathematics game, and we've done a few of these over the last three years, I guess, or two years maybe. I don't know, I can't remember now. But they tend to be pretty good. A lot of fun, a lot of mathematics. Talking about education, talking about whatever really comes up. It is an open discussion, but mathematics supersedes everything else, okay? So whatever we're talking about, if math question comes up, or someone wants to talk about a certain concept of mathematics, we'll dive right into it, okay? Aside from that, let me give you my little intro while we wait for notifications to go out. If you want to know what this is all about, I am on Patreon, patreon.com forward slash, gcho, c-h-y-s-c-h-o. I don't put anything beyond paywalls. Everything's great of commons. Share and share alike. If you want to know what this is all about, you can follow the work there, and after checking out what it is that we are doing, if you think you have the means to support this project through Patreon, then it's a fantastic way to make sure that we continue to do what it is that we are doing. We are live streaming on Twitch, twitch.tv forward slash, gcho live, c-h-y-c-h-o-l-i-v-e. If you want to participate in the chat when people start popping up, popping in, Twitch is where you want to be at. And for those of you who've been supporting this work through Twitch, through subscribing, through following, thank you very much for being here. Oh my God, how are you doing? How is your Mongolian grill? And for those of you who've been supporting this work through Patreon, thank you very much for your support. There's a few that have been there from day one when I set up the Patreon page. And I appreciate it very much. It is in large part because of what you have done, what you are doing, that we are able to continue this work. We do announce these live streams 30 minutes before we go live on Elo, Mines, VK, Parler, Gap, and Twitter. Okay. And if you want to follow the work on those platforms, the content that we're sharing, the links will be in the description of this video. And it is available on our Twitch page. If you go to our Twitch channel, no matter if we're live streaming or not, totally so, let's check it out on the constant. I got serious craving for sweet and sour, not spicy sweet and sour with rice. You can go to our Twitch page and irrelevant for live streaming or not, and go to our chat and just type in exclamation mark social, and it'll give you all of our social links. For live streams where we don't have any visuals, which we do today because it's mathematics. For the live streams where we're just doing open discussion, talking about whatever it is that we end up talking about, we do upload the audios to soundcloud.com forward slash chicho learning balance. Hello, hello, hope you're doing well. Man Slayer Rudy, just so happens, I was listening to system. You weren't expecting surge to come on to teach a little mathematics, were you? All notifications sent, awesome. Oh, I got mask of Raven, how are you doing? How is life? Chicho, what's up? Any snacks today? Yeah, I do. I got my, I went harvesting, I showed this yesterday, but autumn olives, right? So there's a, in our neighborhood, there's a autumn olive tree, there's a couple of autumn olive trees actually. One of them, the person that owns the property is very happy to have us come there and pick his autumn olives. And he told me that it was only starlings. When I was picking it goes, you come every year. I go, yeah, I try to come every year. He goes, you and the starlings are the only ones that pick these berries, right? And it was like, I go, it's the starlings, they're pretty smart because they know what to eat. Let's see if this is gonna focus. I don't know, feel focused. Let's check it out, there it is, look at that. Look at the colors on that. Look at the spots on that, right? Absolutely beautiful. It is a beautiful autumn olive. They call it autumn olive, but it's more of a, sort of a cherry, I guess, but it's tart. Okay, and all you do, you just pick this on. Cactus, thank you very much for the Twitch Prime sub. I'm gonna, boop, what kind of emote did we get? Nice emote. So these things, it's tart. It's got lots of vitamin C and I pick every year, every year I try, go and pick a whole bunch and we put it in the fridge and it lasts for a few weeks. And all you do is just take it like this and go, super delicious, man. You know, it's so good. I tried making jam with these one year and it didn't work out, it was all seed. So we just eat em all now, put em in our cereals and whatnot. Okay. Twitching Jason, I was about to start studying here, but I think watching this counts, right? Half, yeah, it does indeed, Twitching Jason. No, I wasn't. How are you doing? Nicely, you're doing good, doing good, doing good, thank you. Do that, they look a bit like cloudberries in Scandinavia. I don't know what cloudberries are. They're very prolific, they're like all over the place in North America and very few people eat them. I don't know why, they're just amazing. They look like a superfood, right? Indeed, all the gods. Mask of the Raven. Zack, how are you doing? Zack the River Chichou, how are you doing? I was chatting, I'm driving, but I'll be listening. Leaving the dispensary, nice, nice, awesome, awesome. I'll show you guys my harvest this year once I get a chance. Drive careful. The Welsh dragon accidentally clicked on the stream and could hear you talking and thought there was someone in my room behind hiding where it is pounding. You should call Ripper over, he'll calm you down. He just came from a place. Diet thigh. I was told they'll make you sick when I was a kid. Really? No, I've been eating a lot of them over the last few years. They haven't made me sick yet. They're quite delicious, quite delicious. Hello Crafter, how are you doing? How is life? And we will be uploading this video to BitShoot and YouTube, okay? And if you wanna support this work through BitShoot and YouTube, you can support this work by following, by sharing, by commenting, by sharing, by what do you call it? Subscribing and if you're on YouTube, you can join YouTube membership and for those of you who've been joining through YouTube membership, thank you very much for the support. Life is very monotone. Crafter, for many people, right now a lot of people, I'm gonna take these guys down, a lot of people are having a hard time dealing with the loneliness. Loneliness kills gang, right? Especially the elderly. A lot of people, a lot of the elderly are quite lonely right now because they're isolated. As a society, as human beings, as people, as entities, that we are continuously on the learning path. And one way we learn is to know about history and know, try to understand what is coming for us. And that is an interaction with our elders. So we have to take care of our elders. Malajras, thank you very much for the bits. A crafter, following classes online, doing work for school online and then just doing stuff online for fun. Yeah, crafter. Gang, if you're doing that, which is basically a lot of people, I'm doing that as well, of course, right? Make sure you're staying physically active, right? Like move around. That's one of the reasons having plants in the house is good because they need taken care of. So you have to get off your ass, right? Get off from in front of the computer and go take care of them, pick up the dead leaves, give them water, talk to them, love them. You have a living creature inside your house or multiple living creatures inside your house and they get you interacting, right? Pets do the same thing, right? A lot of people, they wouldn't get any exercise if they didn't have a dog to take for a walk, right? During this whole lockdown thing, what I've heard in certain places, only if you were walking a dog, you were allowed to be outside in certain parts, right? I think in Russia for a short period it was like that. And people were borrowing their neighbor's dog to take him for a walk because they needed to go outside and go for a walk, right? So manage your life, don't get bogged down, right? Tan King, how are you doing? I started a coffee morning, started a coffee morning against government guidelines. Hilarious, Mask of Raven, how's it going? Please keep everyone safe and take precautions. Been getting worse lately. Yeah, Mask of Raven in some places for sure, for sure. Where's the worst country in Europe? I don't know, let's keep politics on politics train gang. Politics, let's see if our little thing, yeah. So we got a little command that we can do, we go exclamation mark politics and our bot comes out and says, please keep politics and other heavy subjects through their perspective streams. I know I sort of instigate them to a certain degree, but my apologies. Red low, red low mitts, solid advice, man. And everyone, right? I meant as in cases, but I'm not talking about anymore. Crap, good, good, good. I thought you meant, what's the worst country in Europe? I'm like, oh my God, that's like serious question, serious business. And I don't know, it all depends on your lifestyle, I guess. As far as cases goes, I don't know. I stopped following numbers. You know, we were doing it for mathematics, we're following numbers for a long time, but they just stopped making sense anymore, right? So we stopped collecting the data. The experiment was flawed. We got enough to do a little mathematics on them in regards to exponential growth. At some point we'll put our modules together and create word problems based on the data set we collected. Good enough for us, right? I no longer believe the case is BS, yeah. Ding Bobber, Chico, imagine the mathematics involved at the atomic level with regards to higher consciousness and entheogens. And Ding Bobber, yes. And the reason I'm saying yes is because I have tried to imagine it. And I can honestly tell you, we're coming out of the dark ages right now. Like gang, because this is related to education, I'll just mention this. I'm on the same mindset as Robert Anton Wilson because during an interview that Robert Anton Wilson gave, I don't know when it was, maybe late 90s or early 2000s, mid 2000s, maybe I forget when it was. No, I must have been earlier, mid 2000s. I think it was late 1990s. Where he gave an interview, he said, it was like a seven hour interview. It was huge, right? And I've listened to it multiple times. And during that interview, and there's video interviews of him as well, saying this, I believe, he basically said that as a society, as a civilization, we are just coming out of the dark ages because a lot of control mechanisms are collapsing, right? A lot of prohibitions are disappearing. So people are exploring consciousness of what it means to be alive, to be human. Exploring science, mathematics, the information is flowing at an incredible speed, right now, nothing like we've ever seen before or that we know that according to recorded history, civilization has been around, according to Graham Hancock for a lot longer and a few other people and a lot of other people. I'm on the same mindset as that, that civilization has been around for a long time. But as far as we know that we are aware of, this is the fastest that information has traveled across the globe and so much of it at the same time. We are just coming out of the dark ages. We are in a renaissance right now and one of the driving mechanisms for this renaissance for the sharing of information is mathematics because that is the driving force behind it and to understand what is happening around the world, what is happening in our lives, in regards to consciousness on the subatomic level or macro or micro level or however way you wanna look at it, you need the language of mathematics to be able to do that, right? Hence, these live streams. Mitt, red. I'm gonna call you red brother or sister of course. I hope that's okay, agree. Numbers become crazy, gave up following for a while. Think in the UK here, we managed like 25, 26,000 plus yesterday. 26,000 positive, that's what they were reporting. Red, boo. What does that mean, right? Let's do math and true capacity. My prime minister confused about what the full means. That's my politics about it, oh my God, hilarious. By the way, the other snack I have too, the other snack I have to crack in me up. Elder God mentioned, we thought discussion of Scotland has come up a little bit. So I got myself some cookies, like these are like butter cookies or something. They're just bought, but they're very, I didn't make these, okay? And they just have flour, sugar. That's basically it, that's all they got, right? Couple of other things, right? So they're very, they're generic, but they're not, as far as junk food goes, this is on the healthier part of the spectrum if you're looking really bad for you, really good for you. I guess this would be in the middle. It's not horrendous for you, right? It's not McDonald's, it's generic cookies. So I got these two as a snack. Figured I'll show you that too. We came out of the dark ages to encounter our new leaders. Ripper, we came out of the dark ages and discovered how the world is governed and what are we gonna do about it? Ding-Babur, enjoy the ranch, you show dark ages for sure, but what comes after the dark ages? We're in the Renaissance right now. What comes after the dark ages is usually huge disruptive innovation that propels us into the next stage of civilization, next stage of growth. If you've studied evolution and stuff like this, evolution is not linear, right? Evolution doesn't occur like this. Red works for me and look tasty. Yeah, the cookies are tasty too. So evolution doesn't occur like this, right? So here's time, here's evolution, evolution, right? Evolution doesn't start off with us being wherever you wanna start to scale, right? Us not even being existing at the beginning of time. So beginning of time, there was no life, right? If we're gonna go like this, if we're gonna call this beginning of universe, right? Big bang, right? The great kabooy, right? No life, energy from somewhere, point source, right? Within a few milliseconds, all of a sudden matter forms, we don't know what happens during those first milliseconds, matter forms, universe expands, matter is being created. Well, not matter is being created, but matter is created and then they're merging together and all, growing, growing, stars come together and stuff like this, nuclear fusion, fission, whatever happens. Heavy metals are made and bup, bup, bup, bup, bup. Supernova's explode and these heavy metals go all over the place. At some point, we'll get life, right? Here's no life, no life, here's life, right? Life, not life being the curve from a particle of carbon slowly turning into life, it just occurs, we don't know, right? There's lots of questions there, right? But let's say we have life, evolution is not like this, right? It's not like this and by the way, this would be exaggerated, this would be 14.5 billion years and then this would be like 0.5 billion years, right? So this is not a linear scale either, right? If we're gonna do a linear scale, we'll just, it would be like this. Here's universe, no life, no life, as far as we know, and then life, right? It's just to be a blip, right? But for us to be able to visualize it, let's say we're like this, right? So evolution does not occur here, we're standing here, man, right? That's not how evolution occurs. Evolution also doesn't occur like this. It doesn't go exponential like this, okay? There's man, it doesn't. Evolution occurs like this, let's try a different color pen. Evolution occurs in steps. They're made up of these things like this, but it goes more along the lines of step, step, maybe exponential, oh, step, step, like, it's just, it's step-wise, right? God, am I doing this properly here? Let's do it like that, right? I don't know what those ones are, right? But that's basically how evolution happens, okay? So I have no idea how you are onto this, but it is what it is, it gave me opportunity to make a graph in the little mathematics, right? So dark ages, so we're about to, that's how we got into it. We're about to see a huge burst in consciousness, and we are witnessing it right now, okay? Really, I love butter cookies. Butter cookies, that's what these are, butter cookies. Yeah, super good, yum, yum, nice layer. They're crazy addictive, they're crazy addictive. Cycles, and we are at the end of one. Yeah, and things occur in cycles, and within these things, within, if we zoom in, let's assume we zoom into a little part here, bring it up here, right? Within this thing, there are cycles, and the cycles here occur, there's long wavelengths, short wavelengths, within each cycle, there's additional cycles, right? And this occurs on an economic front, on a biology, chemistry, politics, like it occurs on every level, right? Red, thank you very much for the Twitch Prime sub. Okay, it occurs on every level, and our lifespans can be maybe this much of it, or could be this much of it, and it's up to us which wave we wanna ride, right? It's just the way it is. That's why mathematics is crazy important, because it allows us to interpret cycles, and this stuff kicks into trigonometry, like trig, trig is this, is cycles, right? So if you're gonna graph f of x, a function of sine theta, sine theta, and music has this too, like everything, cycles, everything, right? Apologies of the camera focusing, not focusing. It is what it is, right? But a sine function looks like this, negative one. Here's one cycle, 360 degrees or two pi, or one cycle, right? One cycle goes like this. Dook, dook, dook, dook, dook, dook, dook. There you go. If you understand this function, you can understand many aspects of life, many aspects of life. Do you believe something comes from nothing? Do I believe something comes from nothing? I don't believe there is nothing, like zero point space. According to, you know, take zero, is a zero point or zero space or whatever it's called, where take complete vacuum, right? Take a square meter of vacuum. Now, is that completely empty of anything? Well, there's space in there. So I don't believe there is nothing. Nothing is the opposite of infinity to a certain degree, right? So absolute, like just try to, this is one thing human beings try to do. They try to clear their minds, right? There are yogis sitting in the mountains and the Himalayas for 40 years trying to clear their mind so their mind doesn't think about anything, right? Try doing that one day, right? It is virtually impossible to stop the machine from processing, right, to thinking, right? When we say there's nothing, there's a unit has to be attached to that. There is no absolute nothing, right? How much money do you have? Oh, I have no money. Okay, so you have zero money, right? But zero anything, thought, matter, time, space, what does that mean, right? So when you say do you believe something comes from nothing, I don't believe in nothing, right? Dairy is more addictive than, oh my God, I've read long time lurker, not sure why I've not used this sooner brother. It's okay, Red, thank you very much for using it now. I appreciate the prime sub, Dengbaba Chichou. I heard humans run on a 90 day cycle and so I had an idea to journey every day for like a year to find the cycles and understand myself more. Maybe Dengbaba, but the problem with journeying, if you're journeying, you're exposing yourself to other cycles. If you wanna understand yourself more based on a 90 day cycle, the ideal thing would be don't change your surroundings, get into a routine and document that routine without introducing external cycles into your life, right? So if you're traveling, I don't know, you know, the noise factor will be a lot, right? Dengbaba Chichou, Eduardo, how are you doing? Music has a time signature, so does our lives. Yeah, dollar God, well said. And Eduardo, thank you for linking up so much music on our Discord, fantastic. Spider-Man, how are you doing? Rap Dormant, Chichou, yes, I'm saying absolute nothing. I don't believe in absolute nothing. What does that mean, absolute nothing? It really would, according to the Big Bang, right? Everything in matter in the universe right now came from a point source, but we really don't know what that point source is, right? Even science doesn't, it says it's expanding. It came from somewhere, it all has, we're all connected, right? And all this, but science hasn't come up with the concept of absolute nothing, Raptor. As far as I know, there isn't. Elder God, I can confirm that, well, minus 68 days. Twitching Jason, zero and null, are two different things in programming. Yeah, yeah, well said, Twitching Jason, by the way. I said journal, not journey. Oh, journal, oh my God. Sorry, Ding Bobber. Yeah, journal, perfect. My apologies, if I read anything wrong again, please correct me, thank you, Ding Bobber. So if you're gonna keep a journal for a year to see what your 90 day cycle is like, fantastic. Yeah, yeah, yeah, yeah. That's the way to go, for sure, for sure. A lot of us know how it works out. Starsky, yo, chiche, how's it going? Doing good, brother, thank you very much. Your beard is looking very nice, thank you. I like it. Raptor, raptor meant that means universe must have a beginning and it cannot come from nothing so that something which created the universe can be called the creator, the first cause. Do you wanna call the creator? Okay, up to you. I call it, I don't know. So from now on, if someone asks me a question that I don't know, I'm gonna say the creator, right? Is that how we're gonna define it? If we don't know something, are we gonna call it the creator? But that's what a lot of human history, civilization has done previously, right? Sometimes they called it magic, right? Science fiction stories have written, I don't know, I don't know how many stories about this where a primitive civilization is living somewhere and someone flies in, right? Or they glide in and everyone's like, oh, this must be the God because we didn't know, right? They don't know how this is done. So they must be the creator, they must be God. Is that the mentality you wanna go? There's a movie that was called Time Warp or something like this. There's a motorbike guy riding a dirt bike and time travels into the cowboy dimes. He's got a lighter, he's got an engine. He starts looking for oil, trying to get back. It was hilarious, it was a good movie, fun movie. Jan James Bond, intergalactic space has about 10 to 100 atoms per cubic meter. So in space, even when there is nothing, there is something, 100%, right? Like, I don't know, has anyone ever created a cubic meter of absolute nothing? You suck out all the air, create a vacuum. Does that mean there's nothing there? No, it doesn't. There's something there. True zero is that to me. True zero is that to me, all the concepts. Something cannot comprehend nothing. Yeah. To be able to interpret, understand the box we live in, we have to look at it from outside the box. Now, how do you escape the box of physical matter? Material, you have to become disconnected from the material. This sort of connects up to what we did yesterday, right? So is it absolute zero? No. This is great. The unwanted gamer, you two. Can you explain to me the process of Pythagorean theorem? Sure, let's do it. Pythagorean, I don't know if I can explain to you the process of Pythagorean theorem, I can explain to you Pythagorean theorem. How did he drive it? I'm not 100% sure how they drove it, like how Pythagorean came up with it. I'm never, I'm pretty sure I looked at the proof before, so we've got Pythagorean going on. I'm gonna catch up with chat, now that we got a little bit of mathematics going on, or more mathematics going on. I'm going insane. Another movie I have waited seven years for has been delayed. Oh, no. Which movie Allergaard? A Dune? She chose a logical, isn't it? Else we will have the problem infinite regress. Infinite regress. I'm not sure what you mean by infinite regress. Think about Rachecho. What about all the space? Whatever it is has a quality to it. Emptiness, silence, stillness. Yeah, good point, Dingbobber. This contemplation of true zero, null absence of something has a ton of philosophical implications as well. Yeah, twitching St. Jason. I looked into this a long time ago. A long time ago. And I came to make peace with it. James Bond, the light is passing through the nothingness, so it is, it will always have something in it. Yeah, I never thought surge was so good at mathematics. I should start memorizing some of the, or re-memorize some of the system without lyrics, right? Let's do Pythagorean theorem, right? Pythagorean theorem states the following, right? Like literally it just states the following. If you have a right angle triangle, and it has to be a right angle triangle, right? So let's draw a right angle triangle. And these, this and this don't have to be the same length. Let me change it up so they don't necessarily the same length, right? So let's draw a triangle. Here's a triangle. And my drawings are never too scale, right? Never too scale, the disclaimer. Inferent regress means nothing creating something else infinitely. That's nothing creating something, something else infinitely. I don't know, that's a serious philosophical question, I guess, more physics than math. But check out how black holes are starting to be seen as the engines of the universe, yeah. Consuming matter, ejecting matter, consuming more, ejecting rise, repeat, rinse repeat, yeah, yeah. So raptorment, look into that. The unwanted gamer, thank you very much for the bits. I love this, Pythagorean theorem, yeah, for sure. I hope so, is that the one you're talking about? But Pythagorean theorem says this, if you have a right angle triangle, and a right angle triangle means this angle is 90 degrees. Which means that this line is perpendicular to this line, right? So this line, the slope of this line is 90 degrees perpendicular to this line, okay? Is that clear? And that has its own implications I wasn't getting into. So if you have a right angle triangle, and if you call this side A, okay, and if you call this side B, and if you call this side C, in mathematics you're always trying to find relationship between different unknowns, right? Different properties, different elements, different things, right? Like look around you. We try to fit an equation to almost everything because we're trying to understand that system. And this is a system. What is the system? It's a right angle triangle, right? So we're trying to understand this right angle triangle. When we try to understand this right angle triangle, we're trying to find out, is there a relationship between this side, that side, and that side? Well Pythagorean came up with their theorem, right? Their proof, and you can do this. That says this. This is the formula they came up with. A squared plus B squared is equal to C squared, okay? So if you, the value, if you square the value of this, whatever that value might be, and if you square the value of this, whatever that value might be, if you're on a right angle triangle, the sum of that equals to the length of this squared, okay? No, that came a lot, that's a French movie. A lot, boop. I'm not sure why Audemars zapped at James Bond, all right? Let's do an example. Here's an example. Let's assume example, okay? Let's assume the first length here. Let's draw a little triangle here, right? I'm gonna call this 90 degrees, okay? Let's assume this side is three, and this side is four, and I want you to find C, right? Let's make sure this thing focuses. I want you to find C. The way you do this is follow Pythagorean theorem, because this is a right angle triangle, and it is because I told you it was a right angle triangle. I gave you three pieces of information in this triangle for you to be able to find this, right? A triangle has six pieces of information in it, okay? Don't forget this. It's got three sides, right? And three angles. So angle, let's call this angle B, and let's call this angle A, and let's call this angle C, okay? Let's call it, make it capital letter A, okay? And the reason I'm calling this angle B, because angle B controls side B, right? They're related, okay? So if you want to find side C, because this is a right angle triangle, you can follow Pythagorean theorem. Pythagorean theorem says, this squared plus this squared equals that square. So you just put in the numbers. So what you can do is say, three squared plus four squared is equal to C squared. Three squared is nine plus four squared is 16 is equal to C squared. Nine plus 16 is 25 is equal to C squared. And if you're trying to solve for C, it's C squared, so you square root both sides. So you square root this side, you square root this side. You find out C is equal to five. So the length of this side is five. Okay. Does that make sense? Catholic traditionists, thank you very much for the Twitch Prime sub, right? Now, check this out, okay? Let's look at this visually. Yeah, I'll draw it down here. I'll do it in blue, okay? After you die, it's nothing. Humans have a tendency to search for a higher and good, good, pretty answer to problems. But in reality, the answer might not be what you think they are. And there is a high chance you won't like them. EL001, we could change, we should change your sentence or your comment and say, after you die, there might be nothing, right? Use Robert Anton's MaybeLogic because unless you've come back from the dead, you can't say absolutely that there's nothing after when you die, right? So MaybeLogic says, Robert Anton's MaybeLogic states that as human beings, we shouldn't be so absolute into thinking that we know everything, right? So you should use Maybe in your statements. So after you die, maybe there's nothing. Humans have a tendency to search for a higher and good, pretty answer to problems. But in reality, the answer might not be what you think they are. And there is a high chance you won't like them. There may be a high chance that you might not like your answer. By the way, gang, thank you for the follows. Thank you for the subs, okay? Here's the other thing that the Pythagorean theorem says, right? Let's, before we get into the understanding of it, let me ask you this. Let's assume we have a rectangle, right? Let's call this link A and call this link B. What's the area of this rectangle? I don't want the nothing reality that God says, at least for the average person, right? Crack me up. So this is a rectangle. Area of a rectangle is length times width, A times B, right? So the area, area of this is A times B, right? Here, let me write that bigger so it shows. So area of this is A times B. Area, area is equal to A times B, right? Now what if I drew you a square where the length A and B are the same, right? So I'm gonna make this a square. I'm gonna call this A and I'm gonna say this link is the same as that link, the same as that link is the same as that link. Then the area of this is A times A because this link is also A because they're the same length. So area is equal to A times A, which is equal to A squared. A squared, A squared, ah. So if that's A squared and that's A squared, this is just the area of a square, right? If this is the area of a square, then this is the area of a square with side length of A, right? So what the Pythagorean theorem is really telling you is this. If you have a right angle triangle, if you have a right angle triangle, side A, side B, and side C, and this has to be a right angle triangle, then A squared is the equivalent of you drawing a square and saying this length is equal to this length is equal to this length is equal to this length and that would be A. So this is A squared. It's the area of a square made with a side length of A, right? B squared is the same. This is B squared. Oops, this is B squared, right? B, so all of these are the same. So B times B, so this is B squared, B squared. And C squared is the same. Let's make a square with side length of C. C squared is the same, right? So this is the same as the same as this, and this is C, so C times C is C squared. What is the Pythagorean theorem telling you? It's telling you if you have a right angle triangle, then the square that is made by this length and the square that is made by this length is equal to the area made by the hypotenuse, which is the side that they refer to that is a cross from the 90 degree angle, okay? I hope that clears up what you wanted to know about the Pythagorean theorem. If you have any questions about it, let us know. There's no proof, there's nothing. As a person who believes in God, I'd like to think there is something after that. Yeah, the people who say there's nothing come out and say, there's nothing after life. I'm like, dude, how could you be so absolute about your ignorance, right? Because it is pure ignorance. And you can take it on the same level. Those people who say there has to be something, well, no, we don't know, right? Maybe there is, maybe there isn't. I'm on the mindset that we're not just this matter. I think there's more to life than just these fingers and this, right? There's a lot more. Van James Bond, exactly. Normally, the movie would have been released in cinema, the 23rd of November. Oh, which movie is this? Which movie is it? Oh, I missed which movie? Kuru91, got to give it to you, man. ASMR sends tickles to your body, but you took it to a whole new level when I saw that math tutoring session title. It sent chills down my spine. Ha, ha, ha, awesome. Inenor, inenor, a cool name. Nice spelling, by the way. Gicho, I enjoyed meditating and math. I am just having a tough start. Where to start combining both? Or do you have anything I can wrap my head around while meditating? You know what, Inenor? Look into our 10 by 10 math puzzle. To me, it's one of the pure meditative things with mathematics. Also, trig identities are really just brilliant. There's problem solving and you're trying to bring pieces together. Trig identities, right? Really, I didn't have an appreciation for trig identities when I was in high school studying that stuff. When I started teaching it, oh man, the beauty and the meditative feel of trig identities was brilliant. But if you want, we do have, let's see, we haven't done the 10 by 10 puzzle for a long time. We have a 10 by 10 puzzle and if you do Chicho 10 by 10 puzzle, videos will come up where we play a 10 by 10 game and that is very meditative for me as well. I haven't done it for a while but it's really meditative. I would highly recommend that as well. My movie is Krish 4, a Bollywood movie. Walter got nice. But I love French cinema as well. Yeah, French cinema. My movie nomination is French. Nice. Oh yeah, that's right. The wolf one. Life after death might be a hell or worse. 001, triple 001. Man Slayer. Well, I understand. Unwanted Gamer. Do you play games at all? I have in the past. I just did a whole bunch of, we did three live streams. Six hours worth of more than six hours worth of me showing you guys my gaming collection from the beginning of late 1970s, I guess. So I have gone through periods where I game a lot and at some point I will get back into it. I'm just loving the state I am right now with everything we're doing right now with mathematics, with cooking, with comic books and stuff. I just haven't had the time to slip into gaming. I will at some point for sure. That's Camelot. There's a movie Camelot coming out? Oh my God, Chicho, we are star stuff. We are star stuff. Carl Sagan. But our consciousness is another matter, in my opinion. Yeah. I think our consciousness animates our star stuff, personally, Catholic consciousness. Chicho, in our topology is an area of mathematics that is rich with possibilities for contemplation and meditation. And that's some place I haven't gone into yet, topology. My mathematics, I have to improve my mathematics. As Bruce Lee would say, what's your style? How does it go, Elder God? He says, my style? My style? There's a movie, I think it's called. One person comes up to Bruce Lee, I think it's Enter the Dragon, comes up to Bruce Lee and says, what's your style? Bruce Lee says, my style? My style is a fight about art of fighting without fighting. Something along those lines. I am now on your Discord, awesome. Right on, that's there. We got some great info being shared on Discord, by the way. You know, okay, thanks. I'll give it a look before my next session, awesome. Awesome. So you cap says, you're true French. Can water style? Nevermind. The art of fighting without fighting. Yeah, I'm pretty sure that's the quote from Bruce Lee. My style is the art of fighting without fighting. I'm sorry about the accent. That's more of a Shaw Brothers accent that came out. Which isn't even really Shaw Brothers because all of that is subtitles. It's in Cantony, Mandarin, right? Enter the dragon, enter the dragon. Bruce Lee made five and a half movies, if I recall correctly, right? The game of death he died halfway through and they put in a body double. The accent sounds good. What's your favorite math lesson to teach? It depends on the students. I like talking about all of them. Like I love talking about Pythagorean. If the person wants to learn Pythagorean. I love talking about the real number set they want to learn about the real number set. I love talking about logs. I love talking about trig. I love talking about completing a square graph in parabolas. It really depends on the engagement of the students, right? Teaching to an empty room is not the same as teaching to someone, right? What's the real number set? The real number set is the natural numbers and natural numbers. We can talk about that. Poor Defender 13. Pythagoras used math to purify his soul as did his Pythagoreans in what is now central Italy. In ancient times, the most virtuous souls went to Olympus to serve the gods and when they were dismissed, they spent time in Elysian fields. Epicticus late wrote that life was a test to reward those who chose love over other passions. They also had some crazy beliefs as well by Pythagoras, I believe, right? Catholic tradition is, quote, the art of fighting without fighting. Lee was definitely channeling Sun Tzu when he said that. Bruce Lee movies are a brilliant game. If you've never sat down and watched a Bruce Lee movie, there's five and a half you need to watch and do it. There must, actually, we should start recommending some Bruce Lee movies and our movie streams. Help me with my homework. Sean, what do you need help with? Let's talk about the real number set. I hope that was clear enough for Pythagoras theorem. The real number set is basically us human beings going through evolution, trying to understand what life is. Really, trying to understand the world around us, right? Initially, when as we're evolving, I know a story about Einstein, is it a good story? There's a lot of stories about Einstein, right? So think about it this way, right? Ask yourself the following question. How did languages come to be? Written languages, right? Even verbal languages, where did language come to be? For us, we're talking about specifically written languages, right? Because you have to think about mathematics as a language. Algebra two, I keep messing up the positive and negatives. Positive is negative, how so? We can talk about here, we'll get into the positives, negatives, Sean, music line. Yeah, there are different languages all over the place, right? Music, some people, a lot of people consider music to be a language on its own, right? Mathematics to me is a language and to many other people is a language. Written languages, right? English, whatever language you speak, right? These languages evolved, right? They didn't all of a sudden become a language, right? Either verbal or written, they had to be developed, right? And the reason languages have come to be is because as human beings, we've reached a certain level in our lives where we had to specifically for written languages document things, right? Because in the past, before written languages, we passed on information from one generation to the next by telling stories, right? Sean, dividing and multiplying them and my teacher moves so fast, it's online. Sean, we'll do the, we'll talk about it, okay? I hope you have a little bit of time, right? Do you have about half an hour to stick around? We'll get to it in about 15 minutes and I'll explain it to you, okay? Mathematics is the only language humans would use to communicate with aliens. Some people say music is one that's going to be, but I agree with you, Starsky. Mathematics is going to be it, right? Oh, this is Einstein's story. Okay, let's read Einstein's story before we continue. A kid came one day and asked, quote, do you believe in God? Einstein didn't say yes or no right now and asked the kid his address. Few days after the kid received the letter which Einstein wrote that, quote, anyone who is seriously involved in science will come to understand that a spirit manifests itself in the laws of the universe. A spirit immerses, immersely, immensely superior to that of man, end quote, possibly, right? That's Einstein's belief on it, right? Remember, Einstein was not a seer. Einstein was not correct in all of his beliefs, right? Einstein didn't believe in quantum mechanics because he didn't believe in probabilities on that scale, right? His famous quote is, he couldn't comprehend that God could roll the dice, right? Some paraphrasing, of course, right? So, true. The more you understand, like the quote, the meat of it is 100%, I agree with it, right? The more you know, the more you realize how little you know, right? That's the beauty of education. That's the beauty of science. That's the beauty of mathematics. The more you look into things, the more you realize how little we know, right? That's why it connects up with Robert Anton's maybe logic, right? Saying absolute statement is, and I do it myself as well, right? I haven't reached that nirvana yet, right? Where I say maybe all the time, it doesn't work. Robert Anton Wilson, I believe, wrote a book just using maybes, no absolute statements, right? But that connects up with Robert Anton Wilson's maybe logic. The more you know, the more you realize that there are no absolutes. Everything is a maybe, right? Okay, awesome, Shaw, we'll deal with it. I love the story when, if that false, I found that wonderful that he asked a question to him to answer to a kid he didn't know. Cool. So, real number set is an evolution, right? So just imagine human beings, we're evolving, right? We're trying to learn about the world around us, right? If we're telling stories when it comes to tribes, we don't want these stories to be lost. So we come up with a written language and alphabet to document these stories and make scrolls where people can read them and whatnot, right? We come up with mathematics to be able to keep track of this language that we've come up with to be able to understand, analyze the world, because as we came up with these axioms of mathematics, there's five axioms that all the mathematics is built on, right? Which is just a distributed property and whatnot, right? Then the laws of mathematics, adding, subtracting, multiplying, dividing. Then once we started building the stuff up, we realized it's a pretty powerful language. So we have to basically start defining it better, right? What is your view, Chichou? What is your view on crypto cryptography, game or real stuff people try to hide? What do you mean my views on cryptography? Like privacy, surveillance, privacy by design? Starski, Chichou, what about finding the equilibrium in a supply and demand curve? Two questions for this. Bop, bop, pch. Okay, let me write this down and then we'll deal with it. Or can you bring this up again, write down these equations, after we do the real number set. Did anyone here put that beard quote on Discord? Cathetris, an old adage quote. Epsi se nile seria. I only know that I know nothing. I only know that I know nothing. Yeah, we're very little. So check this out, real number set, human evolution. When we start trying to understand the world around us, we came up with what's called counting numbers. So let's assume we come up with number one, two, three, dot, dot, dot. That's the way we're understanding the world or communicating with each other. If we're, the example I use, I have videos on this on the real number set. I think the third video I ever put out regarding mathematics when I put that in 2007, like 13 years ago. If you go Chicho real number set, you should find the, it's a two-parter video on YouTube, part one and part two, and I put out in 2007, which is, I'm gonna give you a quick version of that. So as human beings, we're trying to communicate to each other and try to figure certain things out. So just imagine a village of sheep herders where one person is talking to another person, trying to understand who has more sheep. So they give the values what's called counting numbers. I might have five sheep, you have six sheep, you have more sheep than I have sheep, right? So as simple as that, right? We call that the natural numbers, right? And then what happened is, so this is the box we lived in, right? So this was our world, natural numbers, sheep herders, right? And then in that village one day, you have someone come to your village, right? And start interacting with people, let's say in a tavern where all the sheep herders are gathering and having their nightly drink and talking about their sheep, you know, oh, one of their sheeps had a baby sheep, now they have one more sheep, right? Ooh, now they have, you have seven sheep because you just, one of your sheeps had a sheep, right? And then some Joe below comes along into the tavern and sits down and they go, hey, who's this Joe below? Did they just move over our village? They go, I don't know, let's ask him. He goes, how many sheep do you have? And the guy says, I have zero sheep, I have no sheep. That was an introduction of a new number to the language of mathematics for humanity, right? And because that was an introduction of a new number and with that new number came certain properties of mathematics, certain properties of the world around us that baffled us. And because of that, because this boundary from the natural numbers and to what we call the new number set, which includes the natural numbers, but it's an expansion of our universe, our understanding of the world, that's set zero, one, two, three, dot, dot, dot, we call whole numbers, okay? So whole numbers, which includes natural numbers because what we knew before is not null and void, is an expansion of what we knew before, right? So because it's an expansion of what we knew before, we call it whole numbers and create a new box, right? And we say, okay, here is more information, our world just expanded, cool. And by the way, if you wanna know what zero introduced into our lives, it's huge. It introduced an impossibility into the universe that we were looking at because you cannot divide by zero. This is undefined, right? It just introduced something that blew our minds, right? The universe just exploded, right? Hence a bigger box that includes what we know, but more so, right? And then everyone slowly began to grasp what this meant, right? Who this person was, you know, they didn't have any sheep. Maybe they were, I don't know, what were they, blacksmith? They made horseshoes, right? Now just imagine a year later, in our case, maybe a few hundred years later, if we're talking about mathematics, right? Some other Joe Blow walks into the tavern, everyone's drinking it up with, you know, the sheep herders and the one blacksmith that they have that doesn't have any sheep. And this new person sits down there and, oh, is this guy, is he a blacksmith? Or is he a sheep herder? And they go, hey, listen, how many sheep do you have? He goes, oh, I don't have any sheep. They go, oh, he must be a blacksmith. He goes, no, I'm not a blacksmith, right? I'm a merchant, right? And I'm looking to buy sheep. I have sheep that I owe people, right? I promise people that I'm gonna be selling them, right? I've already collected the money for it. Now I have to deliver it. So in my ledger system, as an accountant, I have a negative that I have to fill, right? All of a sudden the concept of negative numbers were introduced into our lives, right? Our universe expanded, what? Negative numbers, right? Negative numbers, what does that mean? He wants to buy two sheep. He's got negative two sheep that he has to fill, what? So all of a sudden you got dot, dot, dot, negative two, negative one, zero, one, two, dot, dot, and because our universe expanded, right? Well, we're gonna come up with a new name for this and we called it integers, right? We call this thing integers, and this is whole numbers. What are I write down the whole names for them that way you know what they are, right? So we call this whole numbers, whole numbers. These are natural numbers, natural numbers, and our universe just expanded, wow. And again, what we knew before is not null and void, right? It's still there, we just know more, right? We just know more. Excellent, evolution. We understand more of the universe, fantastic. And by the way, the reason we put this in its own category because it was a step up in human evolution, right? Because negative numbers introduced new things to our understanding of the world, right? They also created problems because we couldn't take the even root of negative numbers. So you could go, oh, what's the square root of four? Or square root of four is two. It's really plus and minus two, but if we're talking about the real number set right now, we're not gonna worry about the negatives, right? If we can do something called the square root of a natural number, of a whole number, then let's try taking the square root of a negative number. So what would the square root of negative four be? This created serious problems for us, we didn't know, right? And we have a whole bunch of series two of the language of mathematics and there's a lot of some ASMR math videos we put on on regarding how to take roots of numbers how to deal with the rationals. But this to us was what is going on, right? This brought about the word imaginary numbers and later on evolved into complex numbers, right? Cool. So now we're going through human evolution here. Remember this, human evolution. Well, one day after, let's say another year where people understood what merchants were, the merchant would come back every season and try to buy more sheep, right? Because it was sung at another village, right? So everyone's sitting there during the time when the merchants there are all drinking it up, the sheep herders talking about their sheep, the blacksmith, they're talking about how many horseshoes is made, right? And the merchants, they're just saying, oh, I got myself some sheep that I need to buy, right? Another person walks in and sits down at the bar and the people are like, oh, who's this dude? They go up to him, go, how many sheep do you got? They go, oh, I don't have any sheep. They go, oh, then are you a blacksmith? They go, no, no, no, I'm not a blacksmith. Oh, you must be looking for sheep, right? You must be a merchant. How many sheep do you need? Do you need two, five? How many sheep do you need? And he's like, no, man, I don't need a whole sheep. I'm just one person. I want to feed my family, right? I need to buy a half a sheep, right? I don't know what to do with a whole sheep. We don't have refrigerators. We need to cut it up, take that half a sheep and cure it and do whatever they need to do in that time to have it available for them for the winter. They're like, half a sheep. What do you mean half a sheep, right? Half a sheep, what do you mean half a sheep? Well, half a sheep in mathematics is rational numbers. All of a sudden, that introduces a new category into our lives, which is fractions, right? So rational numbers, the category above integers, rational numbers, the definition of rational numbers is numbers you can write as fractions of integers, okay? So, human evolution. Now in school, they tell people rational numbers are numbers that repeat or terminate. And they, it's true, rational numbers are numbers that repeat or terminate, right? Repeat or end, but it's a crappy definition, right? The best definition of rational numbers is fractions of integers, fractions of integers, fractions of integers. Any number that you can write as a fraction of integers is called a rational number. Our universe expands, cool. We know more, we know more, we know more. Wow, wow, what can we do with all this information? What can we do with all this information? My straight lines suck, right? Very cool, very cool, very cool, very cool. Rational numbers includes integers. It doesn't make these void or this void or this void. Includes integers, includes whole numbers, includes natural numbers, but it's more. It's fractions of integers. So for example, two is a natural number. It's also a whole number. It's also an integer, but it's also a rational number because you can write two over one. That's a fraction of integers. One over two, that's a fraction of integers. 0.3 is the same thing as three over 10 is a fraction of integers, three over 10. You can make it negative if you want, right? So any number that you can write as fraction of integers is a rational number. Now in general, you try to write things in their lowest term, right? Lowest group category they belong to, because if something is a natural number, you already know that it's also a whole number integer and a rational, right? So if I say what type of number is negative two, you're gonna go negative two is an integer. It's a rational number for sure because you can write this as negative two over one, right? But a lower category is integer, right? So you always bring things down to the lowest level, okay? Now in mathematics, the beauty, one of the beautiful things about mathematics is, it mirrors the real world, right? When there's light, there's dark. If there's good, there's bad. We have yes, we have no, right? If rational numbers are numbers you can write as fractions of integers. There's another category called irrational numbers that are numbers that you cannot write as fractions of integers. Our world expands, our world expands. So I'm gonna break this in half and I'm gonna call this group here. Can I fit this in? Irrational numbers right at sideways. Writing it sideways is gonna be hard. But let's do it, irrational numbers. E, oh man, it's so difficult. Irrational numbers, okay, I'm gonna write it here. Irrational, irrational, I don't even know if I spelled that correctly, right? Irrational numbers, what are these numbers? Numbers you cannot write as fractions of integers. Numbers, numbers you can not write as fractions of numbers you can't write as fractions of integers. Now the symbols for these, for rational numbers in my part of the world is Q. I don't know why, I think it's land or something. In mathematics, if you put, if I say Q means rational numbers, right? Let's make sure this focuses. If I say Q means rational numbers, then in mathematics if you put a line on top of a letter of a descriptive word, right? It means not Q. So irrational numbers, the symbol for that in my part of the world, you use Q with a line on top of it, right? So we call this Q with a line on top and we call rational numbers just Q. Q. Some parts of the world, they call integers Z, some parts of the world, they call it I. In my part of the world, we refer to it as I, okay? And the driving mechanism, right? Behind, and this thing right here is called the real number set. And examples of irrational numbers are pi, square root of two, any root of a prime number, prime number, right? And this whole thing is called the real number set. Real number. So what is the real number set? Real number set is human evolution. That's it, right? Really, it's talking about how information developed regarding our understanding of the universe in regards to mathematics. That's what it is. Yeah, my marker is on his last leg. I've gone through, I have so many markers we've gone through. I gotta get online and buy a huge batch of markers because I go through these things like mad, right? I hope that's clear. And all of this, the foundation of this is prime numbers, the base of it, right? Prime numbers. And prime numbers are numbers that can only be divided or natural numbers, we begin here, natural numbers that can only be divided evenly by one and themselves, okay? I'm just gonna read some of the chat, just get caught up with chat, just make sure I didn't mess anything up. And if anybody has any questions or if there's anything directed towards me, please let me know again. I'm just gonna scroll down, just speeding on Zala style, sheep distribution. Wow, your story is so cool. Awesome, Van James Van. Imagine if you could just change realities like changing game consoles. Although that would be a fake life, I'm not sure. Sheeps created mathematics, macro. Hey, Chicho, I just had a trick test that I did not do particularly well on. You win some, you lose some, right? I had a question about instantaneous rate of change, slope. And I used a series of average rates of change because calculus was not allowed. Oh wow, then I then took the average. Oh, we gotta do the negative numbers. Sorry, I forgot who it was that asked it. Many intervals close to the point and got my approximate answer is right. Is this right? What did you do? I then took the average of many intervals close to the point and got my approximate. Yeah, as long as you took the averages from both sides, right? So if your point was here, then you took the averages from here, you took the numbers from there, there and there, right? So take numbers from even the same amount of numbers from either side. Negative numbers, gang. I'm gonna stop reading. I just gotta explain the negative number stuff. So for example, define K as the value which multiplied by zero gives one. Anything that's multiplied by zero is zero. I'm sure this makes no sense. Otherwise we really already have it, like complex numbers. So negative numbers. Here's the negative numbers, right? Integers introduce negative numbers. So I forget who it was that wanted this question. It was... Ba, ba, ba, ba, ba, ba, ba, ba, ba, ba, ba, ba, ba, ba, ba, forget a Shawn. Shawn. Negative numbers are introduced to us when we start dealing with integers, right? and integers all of a sudden negative numbers. They created the problem where you can't take an even root of a negative number. Ah, thanks to all of God. Shankwasha, thanks. You couldn't take the even root of a negative number, right? So negative numbers started to introduce their own thing in mathematics, because if you had, for example, 2 plus 2, that's equal to 4, right? Now it should be intuitive to say, okay, what's negative 2 plus negative 2? That would be negative 4, right? Two negatives if you're adding them, right? If you owe me two dollars and then you owe me another two dollars, you owe me four dollars, right? So the adding and subtracting negatives started, you know, sort of made sense. It became intuitive to a certain degree, right? Because subtraction to minus 2, well, this is zero, right? But you can think of 2, subtraction really just being another way of saying addition, adding negative numbers, right? So 2 minus 2 was really 2 plus negative 2, which is zero, right? So 2 plus negative 2 is zero. Should make sense, right? Now, what you have to focus on here is this part here, the plus and the minus, because what you have here is really positive times and negative. And once you started dealing with multiplication of negative numbers, things became a little bit more complicated, right? And that's where people have a hard time with it, right? Because the other stuff is just on a number line. Think of it as a number line, right? You got this. Here's your zero, one, two. Let's assume you're standing here, one, two. Here's you. What happens if you take four steps back or five steps back? You go one, two, three, four, five. Where are you at? Negative three, all right? If you're standing at negative three, negative two, negative one, zero, one, two. If you're standing at negative three and you take three steps forward, one, two, three, you're at zero, right? So negative three plus three is equal to zero. Two minus five is equal to negative three. So that's the adding and subtracting numbers, right? Multiplication is a little different. When it comes to multiplying negative numbers, think of it this way. And this is the way I teach my students, right? Think of English. When it comes to English, if I say I'm not here, what does that mean? That's a double negative. A double negative in English means a positive, makes it a positive. And that's the way it works when it comes to multiplying negative numbers. If you have an odd number of negative numbers multiplied together, it's negative. If you have an even number of negative numbers multiplied together, you get positive, right? So if I write down negative two times negative three, that's six, because the negative and the negative becomes positive, and two times three is six. If I say negative two times negative three times four times two times three, and let's make that negative, what is that equal, right? We could just do the numbers. Don't worry about the negatives yet, right? You could go two times three is six, six times four is 24, 24 times two is 48, and then 48 times three, 48 times three, 48 times three, four, two, 12, 14, 144, right? So 48 times three is 144, 144, right? And then what you do is you go back to your multiplication and go you have one, two, three negatives. Three negatives is an odd number of negatives multiplied together, so that makes it negative. So it's not 144, it's negative 144. If I add another negative number here, negative one, well one, two, three, four negative numbers multiplied together, it makes it positive, okay? That's how you deal with the negative multiplication of stuff like that. What's the meaning of negative multiplication in the sheep example? I haven't taken it there. What's the meaning of negative multiplication in the sheep example? So negative two, because we don't, I haven't really, with the real number set, we're not really doing multiplication to a certain degree, right? Because what I've done in the past, debt interest possibly, what I've done in the past, I did the real number set video and I used the real number set to explain adding, subtracting, multiplying, dividing, and I overlaid exponents into the real number set as well, right? And in those videos in series series one and series two of the language of mathematics, the videos we put out in 2007, 2008, we go into this pretty deep talking about it, but I never associate the multiplication of negative numbers to the sheep. So what do you guys think? What would it mean in the sheep, in the realm of the sheep, what multiplying negative numbers would be? How would it apply in the real world? Interest? Maybe? Can you fit 56 into 15, sir, wing wing, 56 into 15? What does that equal? I don't know what that equals. Redeem high, 56. Can you fit 56 into 15? I can divide it. Let's do a division, bro. Oh, that is age. I don't know what that means. There must be a meme going around or something. So let's check this out. The answer is no, you can't. Oh, is that what you want? That's a straight for what you're asking? Let's do the division. I want to take it more complicated. Okay, this guy's seen as N2. I'm going to kill this guy too. Let's try another pen. Let's try another pen. No, it's an oh, yeah, I don't do those kinds of jokes, man. To me, that's not a joke. That's a crime. And a crime like that needs to be dealt with. Right. 15, 56. How many times does 15 go to 56? Three. And you can't put 15 into five, so you move on to the next one, right? So 15 into 56 is three. Three times 15 is 45, right? Do a little subtraction. Six minus five is one. Five minus four is one. So 56 divided by 15. 56 divided by 15 is three and 11, 15th. That's the answer. Thanks, Elder God. Thanks, Elder God. Bitstorm was correct. The answer is no, you can't. Good math. Good math. Math is the key. Math is the key, right? What was the other thing we were going to look at? Timeout. Timeout is good. Trick, trick, trick, trick, trick. Kind of wondering if this box could be expanded further now. One that comes to mind is the division by zero thing. Could this be expanded into a number speed? Possibly. There are different, there are different number sets, right? The irash, there's tensors, I believe. Tensors is something I looked in a couple of decades ago, more in a couple of decades ago, looked into that and went, okay, I'm not going to go there, right? People whose mathematics is more powerful than mine that they might still be here, they would, they would know more about that, right? Because this is just a real number set. There are different types of number sets out there. So at zero is, it's its own beast, right? Cryptography. Yeah, just a broad view of it. Okay, I got to look at the crypt. Cryptography is just encryption really, right? It's security, it's privacy. It's, to me, that's what it is, right? Safe communication, safe transfer information, safe, safe method of doing trade, conducting business, commerce, information. I see it as patterns. You see it as patterns. I would have to delve into it. A, it's probably a silly question, but the notion of anything divided by zero is undefined. Watching you explain this, you do have, you do have to wonder if that space could be defined the next one. That's the gazillion dollar question, BitStorm. What if we're able to come up with certain type of mathematics, right? Maybe it's a new language we come up with to try to understand what division by zero means. What if at some point we're able to divide by zero and all of a sudden that spits us out into a new understanding of what the number set is, or a new number set where there, and there are, by the way, there are different, I'm trying to remember my calculus, all things divided by zero are not the same, right? There are different ways of dealing with a division by zero where you enter the realm of limits, right? But that's some, that's a place I looked into a long time ago. Sorry, I was counting until, and I heard, dealt with. How big of a multiplication can you do in your head? 12 times 12, 144, 10 times anything at a zero, a thousand times anything at three zeros, right? I'm not a calculator. I do things manually, right? I do things manually. 250 times two, 500, rock and roll, nine times anything, nine times anything, nine times anything, nine times zero to 10, nine times three, one, two, three, nine times three is 27, nine times seven, one, two, three, four, five, six, seven, nine times seven is six, oops, 63, right? Nine times four, one, two, three, four, nine times four is 36, nice trick. Is there number you see a lot in real world? Well, a lot of people say they see 11 a lot. 11 is, you know, magic number. Some people say seven, some people say 23. I think we sort of manifest our own reality to a certain degree, right? So good. Autumn olives, crazy delicious. You know what? I think you could make wine with this, with autumn olives. I don't know if there is. I've made liqueur with this, made autumn olive liqueur. Number six, yeah. Some people say 33, right? Some people say number 33 appears a lot. Look at these three guys. So yummy. This thing's so addictive. Number three. Number three is magic, by the way. But number three appears a lot. Like tripod is a very stable structure, right? You see trigonometry is three everywhere, right? What do you think of the number 666? That's the flip of 999. It's a big deal in metal, metal music. That's one of the premises of the German Netflix show Dark, the number 33. Yeah. And the number 33 is related to, you know, secret societies and stuff like this. Number 23 as well, of course. Rule of six months and six feet after months. Logic man. Yeah, 666 is interesting. You can look, one of the things you learn is, you learn through the realm of fantasy books a lot as well. You can empower objects, words, thoughts with power, right? So, you know, if people want to give a certain number of power, it might have power over them. Rule of ones is quite interesting. If you know that one, then first law, I've heard about it. I can't remember what it is exactly, but store top of my head. Should we empower numbers? Some people do, right? Some people do. 11 is huge, right? Some people say, if you see 11, 11, some people say the most common number you see on a clock is 11, 11. I don't know if that's true. Some people call it God's number. I don't know why. Oh, autumn all of jam. So toast it in with baked goods. Yum. I, Cheryl, I tried to make autumn all of jam. It was like full of seeds. And when you ran it through the mill, you only got a little bit out. So it wasn't really worth it. Have you made autumn all of jam successfully? Or jelly, I guess? These days, the world of fiction has become a survival manual. I think it has for a long time, Elder God, right? Survival manual, indeed. Indeed. Indeed. L-U-L-W-Tru. There is no spoon. I see 9-11 on the clock, most commonly without a doubt. Really? Chaser. Chilton Chaser. 69. I would assume you see 69 more often than not, according to your name. But 9-11 a lot, really? Cool. Bit storm. So from memory, for many naturally occurring numbers, about 30% of the time, the, oh, that one, yeah, yeah, yeah. The number will start with a 1. Benford's Law, that's right. They can use this to catch people faking data sets, right? And they have. Benford's Law, I believe. It's even used to spot people faking tax returns and tax returns as well. And the Benford Law is fantastic. I didn't know about that until I read about it, especially in regards to economics, right? And I looked at the reasoning behind it, and it made sense at the time, but the reasonings, I forgot about it from New York, so I don't know if that's why it's messed up. Oh, maybe, yeah, if you're from New York, the 9-11. Subconsciously, because we have a human clock, internal clock, really, and it's very good. Our internal clock is amazing. You can fine-tune that thing to, like, within a minute, you should be able to tell what time it is, right? Any super, a super interesting makes no sense, but you read it, read, and it starts to make some sort of, yeah, I read it and it made sense, but the understanding of it didn't last that long, right? The reasoning was because the numbers from 100, they appear more than the 200s and then the thousands. So basically, Benford's Law says this, if you have a data set, a number set, right? I need new felds. Like, these things are dying. I need to get new ones. We've got math to do next week as well. Hopefully, that's better. Is that better? Yeah, that's better. Benford's Law says this, if this is frequency, let's just call it f, 1, 2, 3, 4, 5, 6, 7, 8, 9. Benford's Law says this, number one has a higher frequency. I'm not sure what the rate is. Is it half? I forget what it was. Maybe it follows some kind of relation to pi, right? Then the frequency of the numbers, what the numbers start with, drops. I'm pretty sure I took it down way too fast, right? Yeah, I took it down way too fast. That's as soon as this. Hold on. Let me make this a little bit more realistic. It would be like this, right? So if you had a data set, right? Then majority of your numbers would start with a number one and then a number two and then a number three and then a number four. So if you have a large data set, you can run it through a program to give you a distribution of the numbers, right? And if it doesn't follow this pattern, then the data set is flawed. It's a wrong. I don't know if anyone's done it. 30% for number one. So 30% of the numbers are here. 30%. Let's say you had a data set. Let me write that so you can actually read it. So this is 30%, right? 30% of numbers are number one. Start with number one, right? So let's say you had a million data points, right? You punch it into your program and spits out what they start off with. And it's pretty easy to do, right? What does the number start with? If only 10% of the numbers in your million data set start with a number one, the odds are that data set is flawed. So 30, 18, 13, 10. So 30, 18, 13, 10. And we'll call this frequency percent of the numbers, right? And if you add up all these guys, they should add up to 100%, right? So 100 would be like way up there in the thing, right? So this would be 30. And my 18 here should be way down here. So my distribution was pretty accurate, right? Incredible. Now governments are using this to find tax cheats. Yeah, I wake up within minutes of my alarm every day and I can tell when five minutes has passed within a few seconds, our background brain stuff is nuts. Insane, right? It's super cool. Super cool. I didn't, I haven't gone to, I went in once during this whole lockdown pandemic thing to go buy markers and I use them all up. I have these ones as well. Let me see if these won't show up with you guys. I bought these ones. These ones are thinner. If these ones work, you guys tell me here, let's see how this, this turns out. What do we do? I don't know, let's write a function f of x. Is that come out okay? That comes out okay. f of x is equal to x squared plus five x plus six. Oh yeah, that's okay. That's insane actually. Wait, what? Unless it's BBC presentation, like if you take the length of all the rivers in the world, 30% start with sizes of lakes. That's insane. It's crazy. I mean, this is proof one that there is, to a certain degree, if people wanted to use it, proof one that there's some kind of mathematical code behind reality, right? It's super cool. How does this come out? Is this come out okay? x plus two, x plus three. Yeah, that comes out okay, right? Can we use these pens? I bought these ones too. I can see it just fine. Okay. Oh, look at this. You got a whole stack of these ones. Nice. Nice. I got ones that are two-sided too. Let's check out the two-sided ones. Let's check out this one. Oh, look at this. Oh yeah, look at that. Look at that. That's great. Nice, nice. That's okay too. Okay, cool. Nice. Yep, we're going to the new versions of pens. Nice, nice. Good to know, good to know. That'll last us for a couple more live streams. Good pen, good pen, good pen. Cheryl, how are you doing? Gang, should we call the stream? Should we say a stream? Good math today. I liked it. Fun. I hope whoever was asking the questions will help you out. I hope, and at some point, by the way, I've started doing calculus with a student of mine and loving it. So I'm reviewing my calculus. So slowly, calculus questions, limits, and stuff are going to become game as well for these live streams. I'll let you know, or not let you know. Feel free to ask calculus questions and if we can help out, we will. Okay, from my end. Glad I got to catch you for a little bit. Been watching you on YouTube for years but have yet to catch a stream. Awesome. Glad to have you here, Rummy Kid. Actually, because one comes first, so of course, there will be more ones. I don't know if it's enough course, 001. I don't know if it's of course. But why though? And your name, your number comes first, 001. Gang, thank you for being here. Mods, thank you for taking care of business for memory. Interesting. Think about it. Yeah, I can read the Wikipedia. Yeah. Yeah. Gang, as well. Thank you for the subs. Thank you for the follows. Apologies if I didn't catch, I didn't catch most of them. Just because I'm on my train of thought, I want to make sure things connect up properly. I do appreciate them a lot. Thank you for the tier one subs. Thank you for the prime subs. And thank you for the follows and the conversations and the questions and the interaction. It's fantastic. A great, great thing to participate in. And it's because of you that we are able to do this, right? As far as who I am, I am on Patreon. Patreon.com forward slash chichou, C-H-Y-C-H-O. If you want to support this work, if you want to follow this work, Patreon is a fantastic way to do so. I don't put anything behind paywall. Everything's creative commons, share and share alike. And for those of you who have been supporting this work through Patreon, thank you for the support. Thank you very much for the support. We are live streaming on Twitch. If you want to participate in the chat that's going on here, Twitch is where you want to be at. And again, mods, thank you for taking care of business. Thank you for being here and gang. Thank you for the follows. Thank you for the subs. And thank you for the bits. I do announce these live streams 30 minutes before we go live for scheduled live streams on LOMinds, VK, Parler, Gab and Twitter. And just a few minutes for unscheduled live streams, which we might do tomorrow morning. Okay, we need to do part three of the reading of Salvin Norn, the psychedelic essence of Salvia the Vynorum by Dian Turner. I'm hoping to get it in tomorrow morning. Okay. And you can follow the work there and go to our Twitch page in the chat. Just type in social and all the links will pop up. And the links will be in the description of this video. For live streams where we do open discussion where we don't have any visuals, we will be recording on a lapel mic and uploading that to SoundCloud. And that should be available on your favorite podcasting platform, including Spotify and iTunes. Okay. And we will be uploading this video to both YouTube and BitShoot. And you can support this work by subscribing, following, liking, sharing. And if you're on YouTube, you can support this work by joining YouTube membership. And for those of you who are supporting this work through YouTube membership, thank you for the support. Appreciate it a lot. And it is because of all the support we're getting on all these different platforms sort of decentralized ourselves that we're able to continue this work and slowly upgrade and do more and include more into our repertoire. Right. And gang, we got another 10 live stream set up for the next week and a half. Okay. Tomorrow we're probably going to do an unscheduled live stream, reading a book. Saturday, we're doing a liqueur live stream. Sunday, we're doing a cooking session in the kitchen. I believe we're doing politics on Monday. I believe we're doing personal finance on Tuesday and a whole bunch more. Okay. And there's going to be comic book readings. We're going to do two days of comic book readings on October 30th and 31st. And then we're going to hit up Julian Assange, two days of Julian Assange the following week, right? And catch up with some important information. Aside from that gang, thank you for being here. And I'll see you guys, if not tomorrow, Saturday for sure. Bye gang. What was the Mongolian girl going on? I hope you have a fantastic day. Bye everyone.