 make sure we're coming in live. Drop in through the ring session. Nice. Hi everyone. How are you doing? This is Chicho. Welcome to my channel and welcome to the live stream. Today is January 19th, 2021 and it's our second live stream for the day. We just did a quick sort of a comic book live stream. Sort of a weird surprise live stream. And we're doing a math drop-in session. And this is math drop-in session number 68. Approximately number 68. I started numbering these after the fact. And we've done a few of these as you can guess. And it's basically me making myself available for a couple hours to help people out with mathematics if they need it. And there's a lot of people that drop in here. And if I can't help you out, they might be someone else that can help you out with the mathematics. And we do have a discord page where people come in every now and then and sort of the discussion sometimes carries over to the discord page when someone needs help. And we sort of try to deal with it. Aside from that, welcome, welcome. I hope you're having a great start to your new year. And while we wait for notifications to go out, hopefully notifications will go out. Sometimes notifications don't go out when there's sort of back-to-back live streams or two streams in one day and whatnot. So, yeah, we are live. So that's a good thing. Aside from that, if you want to know what this work is about, I am on patreon.patreon.com. She chose C-H-Y-C-H-O. If you want to follow this work, if you want to know, if you want to follow and know what we're doing, Patreon is a great way to do so. I don't put anything behind paywalls. Everything's creative, comments, share, share, okay. And for those of you who've been supporting this work on Patreon, thank you very much for the support. It is in large part because of your support that we're able to do this. So wholeheartedly, thank you very much for supporting this work. We are live streaming on Twitch, twitch.tv.com. If you want to participate in the chat, that might be popping up here at some point. Twitch is where you want to be at. And for those of you who are following this work on Twitch, joining the streams and for the mods, thank you very much for being here and taking care of business. Okay. I don't think notifications have gone out, by the way gang, but we'll see where it goes. For live streams, scheduled live streams, usually before we go live, I announced the streams 30 minutes before we go live. This time, because we had the other live stream and I got caught up doing the stuff, I announced this live stream about 10 minutes before we went live. So I do announce these live streams before we go live on Mines, VK, Elo, Gab, Parler when it comes back online and Twitter. And again, we do have a Discord page and you can come to our chat anytime on Twitch and punch in exclamation mark social and the social links will pop up. And in the bottom there, that's our Discord page that you can join. Okay. And for live streams, when we don't have any visuals, we do announce the live streams on, not announce live streams, upload the audio for live streams to soundcloud.com forward slash Chicho, C-H-Y-C-H-O as podcasts and they should be available on your favorite podcasting platform. And we will be uploading this video to YouTube, Bichute, Rumble and Odyssey. Okay. And if you are on those platforms, you can support those support this work on YouTube by joining YouTube membership and there's a button there. And on those platforms, you can follow, you can like, you can share, you can comment and whatnot. Thanks for being here, gang. Donnie Te, how are you doing? Welcome. Welcome. Good morning. On Charter Days, Hey, Chicho, hope you in chat or well, hope you got your hall sorted out. I, you know what, man? I went on and for those that might not know, I, I did a comic book haul last month. I bought a comic book lots, multiple lots from this one seller that was getting rid of their comic books. And I did the purchase in November. The purchase was finalized in November 27th. I just looked it up November 27th. So it's almost two months ago. And the guy sent me the books and we got the books like a month later and we did a comic book haul or three weeks later and we did a comic book haul cheesy monkey. How are you doing? And we did a gigantic comic book haul. Like it was a short box, a short box and another half a short box, right? So almost a full box. It was 180 comic books, right? That we did. And it ended up costing me $270, including shipping all in, right? Canadian, by the way. And it was a great haul. Like whatever we got was a great haul. However, there were 13 books missing from that haul. And those 13 books were out of the 13, 10 of them were key issues, right? There were first appearances, first penciled works, first ink works, first issues. So there were a lot of firsts there, right? So there were some of the key issues from all the comic books that we got, right? And those comics weren't included. Getting false is good toy, it is good toy. So those comics weren't included. So I messaged the guy, I said, listen, you didn't include these 13, but that's the reason. And the most expensive lot was that lot, plus it has some other comic. So I said, you didn't include those in there, you know, can you send them please? And the guy goes, oh, sorry, sorry, I'll send them right away. So he sent them to me, he sent the packaging number. And the packaging took forever, took like a month later, right? And I just got the package yesterday. And I was all excited. I wanted to crack it open, but I said, okay, we wait until we do a comic book haul, right? So we just cracked them open like an hour ago. And he sent me Gideon Falls trade paperback 1234, instead of the 13 comic books that he was supposed to send me, right? And the 13 comic books were first penciled cover, first penciled work, first artwork of Todd McFarland with infinity number 14, his second official story work. It was the first appearance of Hans Stress, first appearance of Wild Dog, first appearance of Lady Cop, first appearance of Kung Fu fighter, first appearances. There was a few first appearances in there, right? And they weren't in the package. So I just went and, you know, sent a message, not filed a claim, sent them a message saying, listen, you know, I've been pretty patient. I'm willing to give people a benefit of doubt, but you know, this is pretty far given a benefit of doubt. So I sent them a message and I went on eBay where you buy it and I said, didn't receive the package. So I filed a claim, right? But I didn't want refund. I want the books. And in the little notes in the thing, it says, eBay, this package is not guaranteed, a money back guarantee under eBay's money back guarantee thing. I'm like, what? So I haven't checked into that. I don't know if it's money back guarantee or if Chijo just got scammed, whatever it is, the comics that we got was a great deal. But those 13 comic books, those 13 comic books alone would have been 200 plus dollars worth of comic books, right? So he sent me about $50. Getting falls, one, two, three, four would go for about, you know, anywhere between $30 to $50 Canadian, right? So I don't understand if it's a scam. It's a weird kind of scam because he sent me every, all the other books. He paid for the shipping on this one. He sent me Gideon's falls, like, and he was selling Gideon's falls in another lot that I didn't buy. So he was selling Gideon's falls. He sent me Gideon's falls, paid for the packaging. So I don't understand. It was a weird kind of scam, but it is what it is, right? Eugene Jason, how are you doing? Hello, hello. Did I miss a comic stream? You must have a weird comic book. And check this out. The package is supposed to be coming from Winnipeg, but then the tracking numbers from Winnipeg, but the person that sent the written hand address is from Oshawa, Ontario. So I'm guessing the guy, he said he was moving from Canada and he was dumping his comic books and that's what it looked like. He was selling his comic books. So maybe he went to visit a friend in Oshawa. Oh gosh, I've been to Oshawa. Oh, I'm going to take these guys down, man. I'm going to take these guys down. Oshawa. I've been to Oshawa. I did a lot of geophysics there, environmental work there and stuff. Oshawa needs a lot of environmental cleanup. Yeah, it's just weird. It's just weird. I mean, I'm sort of laughing at it, but it's very unfortunate. I didn't have, I had one of those comic books in my collection out of the 13. It was the cheapest one. Twitching Jason, thank you for the cheers. That's the cheers. Where's my 13 comic books from? So I did have any of those comic books in my collection. 15 cheers. Right now I'm twitching Jason. Fun. It is what it is. So either you are being scammed or dealing with someone trying to sell comics to support a habit and just got confused on a sale maybe or someone, and supposedly he's left the country already. Maybe people are after him because he's been scamming people, but supposedly he's in the UK now. So he's supposed to be in the UK. Maybe in the movie he got confused, but here's the kicker. The books coming from Winnipeg are coming from a bookstore. If you're in Winnipeg, the tracking number is from Bison Books in Winnipeg. So I looked it up online. It's a gigantic bookstore. So I'm like, what in the world is going on? The handwritten address and name, and it's not the name of the person that's supposed to be sending these books, right? The handwritten address of the person is from Oshawa. The tracking number is from books coming from Winnipeg, and the guy says he's in the UK. I'm on the west coast of BC. What a shit show. Very unfortunate. Very unfortunate. Or the guy is a complete moron, really. He could be just... Let's do the mathematics on that. What? How does that work? It doesn't make sense. It doesn't make sense. It's very unfortunate. I was looking forward to again having those books in my collection, really. I was looking forward to it. So it is what it is. It is what it is. If I can't get the refund, you know, we got scammed. We got scammed a little bit. I told him, look, reply to me by the end of the day. Why is it either super smart or super dumb people who mad his stuff like that? I don't know. It's so funny. I had one time. Check this out. I had one time. I bought comics off eBay, and it was a tick. The tick number one to seven or something, the original run, sounds like drop shipping from that bookstore. Maybe the bookstore made the error. I don't know. But the kicker is that the lot that I bought, that those 13 books were supposed to be in, had... It was a total number. It was like 39 books. So why were they... And there were other keys in there as well. Like that was the lot that contained the Teenage Mutant Ninja Turtles, the Green Lantern with the finger rings, and that's the key as well. Two Rock, First Appearance of Two Rock from Valiant. It had other keys in there as well. Why were these 13 books not there? Because they were the more expensive ones. That was actually what I was thinking. It sounded like... So it's like a drop shipping. Bison books. Is that what it is? Okay. Didn't think about that. Did the guy have good feedback? Yeah, his feedback rating was only like 39. Like he's not a high volume seller. He does this as a hobby. And he seems like a really nice guy, right? Should I read you the email that I sent him? The message that I sent him? Here's the message that I sent him. Let me read this to you. Might as well. And if there's any math questions gang, mathematics comes before anything. But this is the message that I sent him. Hold on. Let me find it. And I try to be really nice and stuff with everyone. So this is the message that I sent him. And by the way, before we read the message gang, don't forget Free Assange, Free Assange, Free Assange. Julian Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capitalist power to humanity. For more information, please see our Julian Assange Wiki playlist. And I'm laughing. I'm giggling about this. I'm a little upset that I didn't get my comic books. And we might have been scammed and all this jazz, but put everything in perspective gang. This is not a big deal. What we're talking about right now, big deal would be what's happening to Julian Assange, which is a publisher and journalist, someone who's doing incredible work for humanity. Seriously, has taken on the biggest evils in this world that we have that is being crucified by those powers. That is important. I would be willing to give up my whole complete collection of everything that I have for Julian Assange to go free. I would just burn it or give it to whoever. So none of this that we're talking about these little minor hiccups in the real world matter on the grand scheme of things. It is our daily challenges and what makes life fun. What makes us learn from our experiences and stuff, but don't confuse what matters to humanity, to all of us, to the betterment of our societies, to everyday fluctuations that we have in life. So I take all of these things with a grinning of salt, but this is what I sent the message to the guy. I said, hey, his name. I'm not sure what's going on, but I got the package that you sent me the tracking number for, but it wasn't the 13 books that I bought and that you were supposed to send. This package contains the first four Gideon Falls trade paperbacks and the package came from someone else's name in Oshawa, Ontario. I'm not sure what the deal is here. As I said before, those 13 books were the reason I bit so high on that lot. By spending the money there, I lost out on some other auctions that I wanted to bid on and that is 100% true. There were some other things I really wanted to bid on, not from him, but someone else, and I blew my budget on that one so I didn't bid on the other ones. Continuing with the message, I'm okay with a partial refund on the lot, but considering the 13 books were the main keys, the partial refund will have to be significant. Please reply to me ASAP as to how you want to handle this. I'm probably going to file a claim by the end of the day today. Very disappointed, man. You seem like a very nice guy and I'm willing to give the benefit of the doubt, but it's hard to do on this level, right? And it is hard to do on this level. It's a little bit wacko. So that was my, and I've exchanged other messages with the guy, right? That's a more reasonable, reasonable, that's a more, more than reasonable. I think so, and I did this right after we finished the live stream earlier, right? So I was still like, oh, what are my books? As a comic book collector, you're like, oh, when you buy something, as any collector, if you're a collector, when you buy something, it's precious to you. Irrelevant, if it's beat up, irrelevant, if it's, it's really expensive, if it's a dollar comic or dollar or anything, or you, someone gifted it to you, once you're a collector, you give value and worth to something. You wanted what you paid for. I wanted what I paid for, right? Good morning, deckman. How are you doing? Hello, hello. How was life? Hope 2021 is treating people well, man. Hope 2021 is treating people well. Funny, funny, funny, funny, funny. Anyway, we're here to do mathematics. If there's any math discussion going on, right? And school systems are crazy right now, gang. If you're in school, you got my sympathies because it's wacko in Canada, the United States anyway. If you're out of school, really be considerate to those who are in school. There's a lot of kids that are struggling with what's going on, right? Especially extroverts, especially those that need the attention for them to work things out to get over some of the hiccups that they may be having, learning any subject, especially mathematics and physics, sort of things that if you're missing one little piece, it's very hard to grasp things that are being built on that concept, right? So be considerate to those who are in school who might be struggling, who need help, who might be feeling angry or depressed or sad because a certain part of their lives, and for some people, you know, going to school is very important to them, and youth in general is very important, the social awareness of it, right? There's a little trauma there, right? I was talking to a friend yesterday and she mentioned, she knows people in different parts of the world where they've been in lockdown for a long time, okay? And she mentioned specifically she knew people in Spain that have been in lockdown for a long time and for a few months, and she mentioned one of their friends, they have really young kids, and those young kids have been in an apartment, right? For a few months now, right? And when the lockdown opened up a little bit and they were able to go to the park because that during that severe lockdown in Spain, I believe, only one family member was allowed to go shopping and come out, so they were living in the apartment, and when the young kids went out to the park, they were having a hard time adjusting to the perspective because when they're living in the apartment, their eyesight is usually you're seeing within a room, right? So they weren't used to the vastness of nature. So he said, she mentioned that the kids were really overwhelmed by the nature and the trees and that light and stuff like this, which is something that I hadn't considered before, right? So there's a lot of things happening to our society that we're not aware right now, okay? Touching Jason, my younger brother has just started his college studies over the last few months, and he has been absolutely taking the whole thing strides, super proud of him, awesome touching Jason. You should be, you should be, right? And kudos to him, right? Dekman. I put off my last year of college because of all this. Did a half semester online and it was miserable. I'm studying film, which is so hands-on. So online classes absolutely don't cut it. Props to your younger brother for sticking with it. Yeah, props to Jason's younger brother. And Dekman, you're not the only one. They're students that I know that have dropped out of certain classes that they're taking. Now they're taking correspondence, trying to deal with that. And a lot of classes, they've been gutted, right? Not that they were, they weren't gutted before, but they've gutted even more now. Like there's a couple of chapters that they're not teaching. Like I have one student in math 11, and one of the chapters that they took out was personal finance. So they're not teaching personal finance. Like, what? It's crazy. Master West 2, do you have any advice for starting trigonometry? I'm getting ready to start my, at my university, but it's been a while since I have taken a math class. Any advice? We can cover trig. I can give you a really quick rundown on trig. If you want a really, really, I put together an amazing trigonometry playlist on YouTube. It's fantastic. Okay. So here, let me give you the playlist for trig. And it gives you an intro, and it really depends. Trig. Let me find that. Oh, come on, YouTube. Here's the trigonometry. Let me grab it for you. And really, it's a fantastic playlist. And it gives you the intro for it. If you're thinking about just basic trigonometry, where you need to figure out what Sokotoa is and stuff like this, it's, oh, come on. Where are you? When you want to know what Sokotoa is and stuff like this, we can go over that real quick. And there are videos for that as well. But this playlist takes you through trig from the get-go relation to like grade 12 pre-calc stuff, right? Related to a circle. After watching the first six videos of that, seven videos of that, and they're long, they're ASMR format, you should have a really good appreciation for what trig is. Gina, Chicho, take a moment to consider the babies born from about November last year and the existential sadness of Zoom play. Oh, do Gina? Yeah. Yeah. Like, as soon as my friend told me this, like she told me this yesterday or day before, I can't remember yesterday. No, yesterday. Anyway, as soon as she mentioned it, all of a sudden I was like, Oh, wow. Yeah. And just babies born and just the stress level in with people. And by the way, if you guys aren't aware, if you don't have friends that have had children and stuff like this, when mothers, families have kids, right, newborns, there's a serious support group there for women who are pregnant as well as when they first have their child, right? They get together in groups to have play dates, like Gina says, Zoom play dates, like playtime, they touch, they hug, they kiss, they lash out, they learn how to interact together as children, right? And what happens is that also relieves a lot of stress for the parents because when they get together in play dates, for example, let's say three, four, five mothers and fathers get together, right? They throw a little potluck and the kids get to play together. That's a break for the parents, right? So they can de-stress. So the trauma involved in this is huge, huge. And it's not, you know, there's the senior citizens are going through it. A lot of people are going through it. Felix, hello again. How are you doing? You're laughing away. Joe 56658. I have a question about the concept of division that I've had trouble with for a while. For sure, ask away. Let's deal with it. And Master Wes. Oh, fantastic. Thank you. Should we go through, oh, for the playlist. Master Wes, take a look at that. Just skim through it. Let me know if you want me to do a little intro to trick right now. Okay. As far as the division goes, Joe, let us know what's your question regarding division. I had a math exam, Felix, earlier today on differentiation and trigonometric algebra. Cool, cool, cool. Heavy, heavy, heavy. Don't even touch, touch through the zoom playlist. Yeah. It like just like if you ever seen kids, especially toddlers when they play, they walk up to each other and they just hug each other. Right. It's like watching cats play. Right. They, they hug each other. They jump on each other and whatnot. So it's important. Go ahead, Joe. Master says, I'll give the playlist a watch and see where I'm having trouble. Yeah. Okay. And Master, Master Wes, keep in mind when I uploaded those trigonometry videos, at the time YouTube had the opportunity or had the option to do annotations. So you're going to see things pop up where it says skip and YouTube in their stupidity removed annotations. There's a YouTube has been doing so many stupid things for the last few years is beyond belief. Right. But they removed their options for annotations. Right. So if you need to skip the sort of ASMR parts where I'm doing a circle and this like this, you can skip to the appropriate timeframe. I might have put the table of contents in the description of the videos as well. Okay. So you can skip that stuff. Use into a grotto find the area under all integration Felix. I can't do integration right now. We can deal with the, it's just, I've totally forgotten. I would have to do review. Okay. Joe, I'm going to deal with division as soon as I catch up with the chat speeding on Zalastau. Cheryl, how are you doing? Welcome. Welcome. Our libraries are still hosting interactive time for infants through pre kindergarten. Only the moms need to keep their distance. Ah, cool. That's great. Cheryl. Greetings from Germany. Greetings. Greetings. Tim, how are you doing? I hope all families have something like that right now. I hope so too. Right. Thanks. My pleasure. And gang, don't forget free Assange, free Assange, free Assange. Julian Assange is a publisher and journalist that is being crucified for trying to bring transparency and accountability of capital's power to humanity. Okay. Joe, one of the ways, so this division, one of the ways to interpret division is we are splitting a number into an equal number of parts. For example, dividing six by three is two because if we split six into three equal pieces, each piece is two perfect. How do we make sense of this when dividing by a non integer such as 1.3 or 0.7? What does it mean to split six into 0.7? So three into two pieces or one point, convert it to fractions. Okay. Convert it to fractions and you can look at it in the integer form. Okay. Or into 0.7 or 1.3 equal parts. Does this way of interpreting division just not make sense when dealing with non integers? I would say division to me is fractions. Right. So think about it this way. Let's take a look. Right. So let's say you're doing this. For your example, you're dividing six by three or two. Dividing six by three is two because three pieces. So if you do it visually, right? If you got six, right? Well, let's do it just by numbers. Let's do it by numbers. So if you're doing six divided by three, right? Now the division, if you're going to do this, convert to multiplication. Right. Six times and this is three over one. And when you're doing this, you flip this and it becomes one over three. Right. So six times one over three and six is just over one. This turns into six divided by three, which is equal to two. So you're taking six, breaking it into three pieces that have two each. Right. So let's deal with a fraction. Let's say you're taking six and dividing it by 0.7. Right. So 0.7 convert to a fraction. Okay. So this becomes six divided by 0.7 is a fraction is seven over 10. Right. Now how do you do division? You do division by going six. You change it to multiplication and you flip this. So it becomes 10 over seven. Right. Now multiply this out. Well, top multiplies top, bottom multiplies bottom. So this is 60 divided into seven pieces. So what you're doing, if you're going to think about it as integers, convert it into integers. The top into an integer and the bottom into an integer. So what six divided by 0.7 is means really as a comparison, direct comparison, sort of something that you can wrap your head around visually, you're taking 60 and divided into seven equal pieces. Right. And whatever this turns out into, what does this do? Well, this turns out into, we can do the multiplication with the division. Right. Oh, sorry. We're not going to do the multiplication by division. Let's do the division. Let's do long division here. Seven, 60. Right. Seven doesn't go into six. It goes into 60. How many times? It goes into eight times. Eight times. Seven is 56. Subtract you get four. Well, now you add your zero. You add your decimal. Bring the zero down. Seven into 40 is five. So that's 35. This becomes five. You add another zero. Bring it down. Seven into 50 is seven times, which is 49. So that becomes one. Bring down another zero and so on and so forth. Right. So, oh yeah. And for sure, you can convert it into what we call it the mixed number. Right. But as a decimal, it would be, as a mixed number, this would be, thank you, Graham, by the way. So, seven goes into eight. Seven goes into 68 times. And what's left over? Four over seven. Right. If we didn't continue this, it'd be four over seven. Right. So it would be four over seven. Right. As a decimal, it would be eight point five seven one dot dot dot whatever it is. Okay. That's the way you can visualize it if you want. If you want to visualize it in terms of integers. Right. Because this makes it an integer. Does that make sense? And dividing by any number, which is on a number scale. Right. If this is zero, this is negative one. And this is one. Open circle doesn't include that. Open circle doesn't include that. If you divide any number, any number by anything between, which is greater than, let's say you're dividing any number by x and x is greater than negative one, but less than one. So if x is between negative one and one, if you divide any number by any number that is between negative one and one, it makes the number bigger. Right. Which is a sort of a weird thing. So one of the first weird things that students encounter when they're doing division. It's like, wait a second, you're dividing this by a number. Why is six? Why is six now bigger? Because you're dividing by 0.7 and 0.7, it would be here. 0.7. So if you divide any number by a number that is between negative one and one, the number gets bigger. Right. Why? Because if you convert that number, that decimal, there's decimals beyond the spec. People refer to this decimal. This number to a fraction, it's really if you're dividing by it, you flip it. So the 10 or the 100 or whatever it is is on the top and the other number is in the bottom. So the number is getting bigger. Right. Does that help? I know I didn't do the visual part, but it just, it doesn't make sense when you're going into this level. Okay. For me, it's easier to look at it in terms of fractions. 0.7 can go into six more times than one can go into six. Nice way of putting a graph. 0.7 can go into six. Right. More times than one can go into six. That's a great way of setting a graph. I'm jacking that. I'm going to start using that. Thank you for that, by the way. And gang, keep this in mind. I don't give a rat's ass how good any teacher you think is. Right. Another perspective can always introduce you to a different way of looking at a problem. Right. So if you're taking a course with someone, if you're trying to learn something and you're having a hard time learning it either from that student or from that book or from that video, don't think the concept is too difficult to understand. Find yourself a new instructor, maybe a new book to read or a new video to look at. Okay. There's always another perspective that will all of a sudden make you go, aha, that makes sense. I get it. Right. And to me, I've never thought about it this way. As Graham said, 0.7 can go into six more times than one can go into six. Brilliant. Right. Brilliant. Thank you for that, Graham. Right. Joe, how does this translate to the real world? How does that translate into the real world? If I have six items and I'm asked to divide them by 0.7, how can I do that? Because the answer will be 0.87. So I end up with more coins than the number I originally have. Real world, Graham, can you think of a real world version of this? I mean, there's places you have this, but I'm trying to think of a simple way. The good question, by the way, percentages, percentages, 0.7% of six. Yeah. Yeah. I'm trying to think of something right now that's more less percentage based. 70% of, yeah, that's the reverse of it. That's the reverse of it. So what Graham is saying, Joe, by the way, is this. So what you can do is reverse engineer, you could say, Hey, what's 70% or let's do a question that way. That would question that way will be better. What if you were going to buy something? Let's say you walked into a store and they said, sale, sale. Here's your item and they have a tag on there saying, sale price. Sale price is $6. Right. Sale price is $6. Let me write this more clearly so you see it better. I'm going to erase this. Let's make it better. That's a nice example, actually, Graham. So they say sale price, sale price, $6. Right. Seventy sale price, 70% off, 70% off and it's $6. What if you wanted to find the original price? You tell yourself, Hey, the original price times the, the percent off 0.7 has to equal six. So you go X is equal to six divided by 0.7. And that's going to be 8.57. So that's the original price. Why would you want to do this? Well, what if you walked into another store and they said, sale price, sale price, 65% off. Right. And it's $6.25. Right. Well, what was the original price of this one? Right. You could do a comparison or something like this. Right. I know that's probably not a tangible one because it involves percentages. Eagles and cycling. Think shock or polygons on today? No, I don't think you would. Word is out. He may, but who knows me? No, I don't think so. Cheryl, especially if you are a visual thinker, especially if you're a visual thinker. Right. Gina, a math question. Consider a Venn diagram, two circles that partially overlap. How do you calculate the area of each of the three segments? I'm assuming that's supposed to be area. Yeah. Area. Okay. Cool. Let's draw a Venn diagram. I hope that's okay, Joe, regarding visualizing what the decimal is. Right. Felix, could you explain why we use sin cos 10 and how they relate to angles? Yeah. For sure. I know how to use trigonometry ratios, but I don't know why. Yeah, for sure, Felix. And that playlist that I supplied, this thing, I hope that's from the playlist, it goes into it, but you have to dig down a little bit. I'll explain that to you, but let's do the Venn diagram. So Venn diagram will need numbers in that Gina. The real thing, Graham says to Joe, the real thing is that you would never really be asked to do that. That's one way of looking at it. Right. Could you define calculus in one or two sentences? Yeah. Calculus is an introduction of time into mathematics, the rate of change. No, it's not super complex. It's basically looking at functions and seeing how they vary over time or over the duration of the function. The unit circle is a great place to start. And that's exactly where I'm going to start with the trigonometry. But let's deal with Gina's question. Consider Venn diagram, two circles that partially overlap. So are you guys okay with the red? Here, let's change up the color. Let's go, you know, let's go black again. Let's go black. So we've got two Venn diagrams. Is it black or green? What is this? Oh yeah, that comes out. So we've got two Venn diagrams. So this area is overlapping. Let's just do this. This area is overlapping. And we would need numbers for this, Gina. So I'm just going to throw numbers on there. Let's say r is equal to 50 and distance between center point. Oh, so we're not doing statistics. We're doing the, okay, okay, okay, geometry. Okay, okay, okay. So I shouldn't draw them the full size. Oh, I don't like this. It doesn't come off nicely. Let's grab a different color. Let's grab a blue. Okay, so it's more geometry related. Yeah, yeah, sure. r is equal, the radius is equal to 50 and the distance between center points would be 30. So this, the distance, so are they both the same size circle, Gina? Keep asking questions if you need. Same, same size circles. Okay, that makes more sense. Okay, so same size circles. So the radius is 50. So this is 50 and this is 50. 50. And the distance between, between, between center points is 30. I should have overlapped them more because the distance here, because if that's 50, that's not close enough. Let me erase it and draw it again. So, oh, sorry, I touched the mic. So we got a circle. Okay, this is 50, right? Now if the distance between the two circles is 30, so the other circle center will be here. Okay, so I'm going to erase this. So the other circle center is here. I'm going to try to make it around the same size. So it's like this. Is that crap? Crabby circles, by the way. Just for theory, the center, both are in the middle. Yeah, yeah. That's not to scale, not to scale. That's good. Okay, so this radius is 50. So we want to find the area here. Is that what we want to do? How do we find the area there? Let's think about this. Let's think about this. So the area of circles, both circles is going to be the same. So the area of the circles is going to be pi r squared of each circle. Right? Yeah, I want to be able to calculate it. How do we calculate the area of the center? There's an easy way to do this. What's the trick of doing this? What's the trick of doing this? What's the trick of calculating the area here about this? As your distance between the center points change, the area will change. Yeah, I'm thinking about coming up Pythagorean theorem. What I was thinking about doing is this. So let's assume the two circles are on top of each other, and you move one of the circles in this direction. So what you're going to start getting is circles slowly moving away. Right? And you're going to stop it when it reaches 30 here. So that's the best way of doing this. I hope it doesn't involve calculus. Tell you the truth. Pythagorean, there's a line segment between the two intersection points that is critical. There's a line segment between the two intersection points that is critical. You're talking about here? Joint centers with cross points. Are we talking about going like this? That would be a little wacko. Because that's 50, right? I'm looking at the screen right now trying to visualize it. Yeah, that would be 50. So good question, Gino. You can build a triangle that way, for sure, but it's just going to be an approximation, right? And if you can draw this, you've got this thing going on. You've got your diamond. You've got a right angle triangles. For Pythagorean theorem, you have this thing. But you could give points names so it's easier to communicate areas. But this is going to involve, will this involve calculus? Will this involve calculus? Is there a way to do it without calculus? I think it might have to be an approximation. It would have to be an approximation. We can always look at it again next stream. It's just something that's been mulling in my head. Yeah, that's a good question. I mean, it's related to trigonometry that we want to do after this. What are the possibilities? What are the possibilities? I mean, the other possibility is finding out, eliminating this area. But how do you find the area there? You found the proof, but it's unclear. I think you might have to, let me take a look at the proof again just to see if it's going to make sense to me. Area of intersection between two circles, labour the center of the circle C and the center of the second circle C prime, label one of the points of intersection of the two circles A and B. Yeah, yeah, okay, okay. Okay, which is they're not doing this. They're doing it, taking it all the way to the edge. Okay, area was shaded. Oh, interesting, interesting. And then there's the integration version. So for sure it would be that calculus, but I don't like the integration because we're not going to go there. The area was shadow. Oh, snap, crackle, pop. Okay. Ah, so we need to find the angle. Oh, very cool, very cool, very cool, very cool. That's cool. No, no, wait a second, that's not a circle because the radius would not be that. No, this is assuming that it's from the center of one circle to the center of the other. No, this is not the special case. There's a proof for special case, but that's not it. We would have to do this on another stream. I would have to look into this more. Yeah, unclear to me. There's a special case. There's one special case where it had it. Like Gina says the distance between the two centers is 30, right? So here, let me draw you what they had. One of the cases would be this, right? Check this out. So if you had a circle and you had, I should draw it better. So centers here, here's the other center and it goes like this. Is that better? Oh God, my circles suck. The kicker with this is when you're doing geometry problems like this, it's really important to try to get a nice perspective on your drawings because that makes it easier for your brain to be able to figure things out, right? So take a look at this thing. Oh God, this is horrendous. This is worse than the last one. Like seriously, do I have a big circle something here? I'm trying to draw it too big. Okay, let's just do it this way. Let's assume it's this and this. So one version was this. Got to run, Graham. Go on without me. Awesome. Graham, thank you for finding the link. Mark, hello Chico. Funny enough, helping my niece with her mouth right on. So take a look. One version is this. Figure out the angle here, right? And you can figure out the area here because if you can figure out that angle, whatever that theta is, right? The full circle area of a full circle is pi r squared, right? That's the area of a full circle. Now, if this is 50, right? So this is the area of the full circle is going to be pi 50 squared, right? 50 squared, right? So five squared is 25. You had two more zeros, you get that. So that's the area of the full circle for this, right? Now, whatever this angle is, right? The area of a full circle, area full circle, full circle is equal to 2500 pi. That was over 360 degrees, right? That's your ratio, conversion ratio. So if you know this angle, whatever this angle might be, you're going to go 2500 pi divided by 360 is going to be the area of the segment area over the angle, okay? It's just proportionality, right? You can find the angle using trig as you have the triangle side length using the angles. Then use the angles to calculate the sector size. Add the sectors and take out the triangles, yeah. So you would figure that out, right? You would do the same here, right? Take a look. You would do the same here because that's the other thing. So you would add them right? And then remove this because this was being double counted. That's actually very cool. That's actually very cool, right? Good afternoon Electric Shepherd, right? So the question is for us right now, what is this angle? If we know this angle, right? We can do this. So our main problem is to find out what that angle is. What is that angle? Let's check it out. If they're 30 meters apart, 30 meters apart, how do we find out that 30 meters? Oh, we can find that angle. Easy peasy. Nice. Let's do this. Excellent. Excellent. So check this out. Let me draw and do another drawing. Watch this. Super cool question, Gina. Super cool question. And thank you everyone for directing us on Sunny Leo 98. Thank you. And did you get it? I'm going to work it out, right? So cos A over 2 is equal to 50 over this. So basically we want this triangle, right? So if we take this part, the two things here, let's do this. Draw it out here. I'm just taking the top part of this, right? We know that this is 50. We know that this whole thing is 30. If we draw a straight line here, right? Then this distance here is 15. This part here, right? Let me draw that so you can see it better. So if the whole thing's 30, this part is 15, right? So we want to find this angle. This is going to be theta over 2 because theta was the whole thing, right? But let's just call it x. Here, we'll just call it x. Let's call it or let's call it beta, right? So trigonometry says this is going to be cosine, right? So cos of beta is going to be 15 over 50, right? So we would have to punch that in. So this is 5 goes into this 3 times, 5 goes into 10 times. So this is cos beta is equal to 0.3. So beta is equal to cos inverse of 0.3, right? Whatever that is, let's punch it in. I'm going to punch it in so we get a number, okay? So 0.3 and we're going to take inverse cos. So that gives us 72. approximately 72.5 degrees. So beta is equal to 72.5 degrees. You should actually use the exact number, okay? So theta over here. So this part, this part is 2. The angle is 2 cos inverse of 0.3, which is going to be approximately 2 times 72.5. What was that number? 5, 4, 2. So you should take it 2, right? So multiply this by 2. You get times 2. We get 145.084. So we're just going to go to 145 degrees, right? So theta here is 145 degrees. Well, if we know that, now we can plug that into here, right? And find the area of this, okay? So if we want to find the area of that, it's going to be, this is a messy board, right? I should have drawn my circles here smaller and then work my way. But over here, let's bring this up here, we're going to get 2500 pi over 360 is equal to the area divided by 145, right? So the area is going to be 2500 pi over 360 times 145, right? That's the area of one chunk. The area of the other chunk, which is going to be this part, is going to be that times 2 because that's going to be the same amount. So this is going to be times 2. And then what do we need to do? We need to remove the diamond, the area of the diamond. What's the area of the diamond? The area of the diamond is easy to calculate because all you need to do is calculate the area here and multiply it by 4. There's 4 of them. So you do Pythagorean theorem here. Where are we going to do this? So we can do Pythagorean theorem here. Let's do this here. Okay, that went there. Pythagorean theorem says 15 squared plus h squared is equal to 50 squared. So 15 squared is 200. Actually, let's just do this as the squares. So h, if you move your numbers around, is going to be the square root of 50 squared minus 15 squared. So h is going to be equal to, let's punch that in. I just laid down in bed to think about it and you came up with the same, awesome Danite. Held a message. Can you teach me the math? Sweet. What happened to the thing? Okay, Danite took care of it. Thanks, Danite. Appreciate it. So this is going to be troll, yeah. Perhaps the ballistic. Okay, I'm going to, hey, how do we ban the guy? Should we ban? Up to you. Danite, up to you if you want to take care of it. I would say ban. Hey, it's not noting for me, my little thing. Really? My tolerance for messing around in math? My tolerance for messing around in math is very limited, especially because I didn't get my 13 comics. Especially maybe, maybe. Man, I'm banning. That's it. I didn't get my 13 comics today. Oh, my gross crop. Right? So 50 squared minus 15 squared. 50 squared minus 15 squared. And then you take the square root. 47.7. So the height is 47.7. 47.7. So the area of the triangle is one half base times height. So it's going to be, let me erase this, it's going to be one half 47.7 times 15. Whatever that ends up being. By the way, I forget who your name was that would, I ended up nuking you. Muscrop 2. If you want to come back, message me, and we can talk about it. Okay? At a future stream. So it's 47.7 times 15. Oh, my pleasure Gina. Now I'm curious. Divided by 2. So it's 357.75. And we're going to multiply it by 4. Times 4. 1000. So the total area of the pyramid is 1431. 1431. And this minus 1431. And that should give you the area of that guy. It's going to be 2 because you have two segments. Yeah, we multiply it by 2 here. So that segment times 2 minus the area of the diamond inside. I think that's, I think, I hope we did that right. I hope we did that right. Looks chaos. Looks chaotic. But yeah, Graham was on the right track. Same with, gave us the hint, found us the link to see it. And Sun in Leo 98 helped us out a lot. Right? So nice tag teaming this. You could also use the angle to calculate the area of the triangles and end up with cot 0.3 at the end rather than rounding up or down earlier on. Yeah, agreed. Like I personally, if I was doing this, I wouldn't be punching in these numbers. I would be using cos inverse of 0.3. Right? You want the exact values for as far as you can go. Right? You don't want to round during the process. All right. I'm just doing that because I'm very limited. And in general, they might just want an approximate answer. Right? I love it. We'll definitely review the VOD. Okay. Awesome, Gina. I'm glad you brought up the question. Very cool. And it's related to trigonometry. Should we jump into trig? Let's jump into trig. Let's do trig. Hopefully, I didn't make any brain fart mistakes here. Sometimes I end up doing that right down the wrong number or whatnot. But the process is there now. Cool question. Very cool question. Right? Very cool question. Yeah. Very cool question. I like it. Okay. Let's erase this. Let's go to trig. And then obviously, I think there is a calculus integration way of doing it as well. But we ain't there. I brain fart all the time. Me too. Me too. Cheers, gang. Little tea. And I got my cookies. I got my honey chocolate chip cookies going on. Not too many chocolate chips, but some. And I put dried apricots in these too. So super delicious. Let's talk about trig. Properties of triangles. Some of the angles in a triangle is 180. For any triangle, some of the angles in a triangle is 180 degrees. The only triangles you like is pizza. No, I'm pretty sure you like other things. Other triangles. For sure. Triangles come into play everywhere. Do you like music? Trigonometry. Do you like light shows? Trigonometry. For right angle triangles. A, B, C. Keep in mind, there's six pieces of info in a triangle. Pieces, slices aren't triangles. They're sectors of a circular technology. But they are related to triangles because triangles are related to circles. So triangles definitely are related to pizzas because if pizzas come in circular sizes, their circular shape, then that's trigonometry as well. Because the unit circle, the way we find ourselves in a coordinate is through triangles, right? The triangle is also the only shape where the some of the angles are 180. Every other shape is 360. For this reason, triangles have more structural integrity. They have, and that's why you have tripods. Like tripods are stable, more stable. But with triangles, triangles are the building blocks of all polygons, right? It's like the prime factors of polygons or triangles. For example, if you have this, here's a polygon, right? What's the sum of the angles of this polygon? Right? That's your hydra. Well, break it down into prime building blocks. It's just the same thing as H2O. H2O is H2 and O and H and H, right? The building block of H2O is HHO. The building block of 12 is 2 times 6 and 2 times 3, right? The building block of this is one triangle, two triangles, three triangles, one, two, three, sorry, four triangles, right? So there are four triangles that this, how many shape sides? One, two, three, four, five, six. Six sided polygon is made of, right? Well, what's the sum of the angles in this triangle? It's 180 times 6, right? You can break all polygons into triangles. And then from there, you can work out their angles or whatever it is. If they're regular polygons, this is not to scale, not regular polygon, right? So triangles are your smallest building block of a polygon. That's why they're super important. One of the other reasons they're super important, right? So take a look. Let's kill this as well. Triangle has six sides. Oh, sorry, six bits of information. Y times six. Did I say times six or did I say times four? Oh, I should have said times four. Poop, I made a mistake. That was a brain fart. That was a Chicho brain fart. That should have been 180 times four. There was four triangles, right? Gotcha. Yeah, Chicho brain fart. Correct my brain farts, please. Okay, I am not making, because I'm mentioning other numbers and other numbers all of a sudden enter my calculations. Oops, don't do that on an exam. Don't do that on homework, right? There's six pieces of info in a triangle, right? Three sides and three angles. And an angle controls the opposite side. So this angle, this guy controls it. So we're going to call this capital B. So this angle is called capital B and it controls small case B side, right? This angle, we're going to call A because it controls this side. And this angle, we're going to call C because it controls that side. Let's put the A here too, so we're consistent, right? So this angle controls this side. This angle controls that side. That angle controls that side. Okay. The smallest angle controls the smallest side. The medium size angle controls the medium side and the largest angle controls the largest side. If you've got a right angle triangle, the 90 degree angle is the largest side. Hence, C is your longest side. And don't forget gang, free assange, free assange, free assange. Julien Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capital's power to humanity. Support him. Right? So in a right angle triangle, we have the following other relationship as well, which is the Pythagorean theorem, right? We got one relationship, angles in all triangles equals 180. Hello Mac, 650. For right angle triangle, we have the Pythagorean theorem, which is A squared plus B squared equals C squared. That's the relationship that exists between A, B, and C. Okay. And C is your hypotenuse. So the two legs of a triangle squared add it together equal the hypotenuse squared. That's another property that we have. There are three other properties of a triangle, features of a triangle, right angle triangle that we also deal with. We should call the trig important ratios, right? So three, trig ratios, ratios, right? Which are sine of an angle is equal to the opposite side divided by the hypotenuse. Cos of an angle is equal to the adjacent side divided by the hypotenuse. Ten of an angle is equal to the opposite side divided by the adjacent side. Those are the properties of a right angle of the trig ratios adjacent side. Mac, I never like math. Do you suggest a book that makes you like math maybe? It really depends what you're into, Mac. What's your interest in life? No matter what your interest is in life, mathematics can relate to it, right? If you're interested in business, look into mathematics of investing and stuff like this. If you're interested in music, look into mathematics of trigonometry, really, frequencies, waves, and stuff like this. If you're interested in engineering, there's tons of books out there on engineering. If you're interested in pure mathematics, just look at the algebra as problem solving, right? We just had a problem. We just did a problem where it was complicated, it was cool, but together we're able to solve a problem. So if you like puzzles, mathematics is the place to be, right? So what do the trig ratios mean? Ratio is something compared to something else. Now, remember, there's a difference between a fraction and a ratio. Fraction and ratio. The difference between a fraction and a ratio is this. I can give you the following. 2 over 3. What does 2 over 3 mean? 2 over 3 means part of a whole. Interesting investing. Yes, I like the math and finance, but it's simple compared to you are explaining on advanced math. No. Financial mathematics, investing, can be extremely complicated. Some of the most complex mathematics ever done have been in the realm of investing, personal finance, right? You can start out with some simple stuff, but it can go into very complicated stuff. Mathematics is a tool. You can build a shed in your backyard, or you can build a skyscraper, right? If you want to do a comparison, mathematics is limitless, and you can apply it into extremely complex levels on any topic, even art, like paintings and stuff like this, hues of colors and play around with that stuff. Right? Fraction. 2 over 3 is part of a whole. So if I have a whole thing, I break it into three pieces, I'm going to eat two of them. Two out of three, right? Two parts of a whole. Okay, thank you. Sorry for... No, no worries, Mac. Right? As far as math books go again, nothing really comes to mind. I have certain math books that I've used, to learn certain topics, right? If I write down a ratio 2 over 3, ratio 2 over 3 is a comparison of two or more things. So 2 over 3, if it's a ratio, it means two circles versus two triangles. Okay? It's a comparison, right? Okay? 2 versus 3. Okay? Keep that in mind. So these trig ratios are not fractions, they're ratios. It's a comparison of one thing to another thing, right? And what are these two things comparing? Well, the formula tells us what it's comparing. It's saying that the sign of an angle, right? The sign of an angle is equal to the opposite side of that angle, divided by the hypotenuse of that triangle, right? So I'm going to erase this part. Okay? So trigonometry says this. If I have a triangle like this, right? Right angle triangle. And these only work for right angle triangles, okay? They don't work for non-right angle triangles. If this is my theta, the sign of theta is the opposite side, opposite divided by the hypotenuse. So what does this mean? The ratio, why is this important? Well, it's important because of the following. If I say that let's assume this is 30 degrees, right? And this is a right angle triangle. And let's assume the hypotenuse of this is 5, right? I want to find this x, okay? What I'm going to do is say use this formula to find x. This is an absolute. It means that for any triangle, right? So let's find here, let me just tell you what sign of 30 is. Sign of 30 degrees. If you punch that to your triangle, you're going to get this. There's a special triangle called this. 30, 90, 60, 1, root 3, 2. If you punch in sign of 30, you're going to get 1 over 2. It's equal to 0.5, okay? Really, right? Here, we're going to punch it in. Let me punch it in. Make sure I didn't do any brain farts here. 30 degrees and you're going to go sign of that is 0.5, right? So sign of 30 degrees is 0.5. Now sign of 30 degrees is not 0.5 just for this triangle or for this triangle. Sign of 30 degrees is 0.5 for any triangle. Any triangle, no matter how big it is, how small it is. I used to hate math growing up until I went to college. A lot of people, right? So if I give you a triangle like this, I say this is 30 degrees and I ask you what the ratio is between this side and this side. You will tell me that it's 0.5. The ratio of this side, let's call this the opposite side and let's call this a hypotenuse. The ratio of this divided by this, opposite over hype, is equal to 0.5. That's what I wrote down here, by the way. Where is it? Right? So if you have one of these, you can always find the other one. So if the hypotenuse is 5, you just put 5 here. Oops. Then the opposite side is going to be 0.5 times 5, which is 2.5. So we know this is going to be 2.5. So the ratios, the trig ratios are in absolute four specific angles. It's the relationship of one side of a right angle triangle relative to the other. It may be adjacent versus the hypotenuse, opposite versus the hypotenuse, or opposite versus the adjacent. It could be this divided by that, that divided by that, or this divided by that, or it could be this divided by that, that divided by that, or that divided by that. There's six different combinations you could do with this. And that's what the trig ratios are. Some people think these are magic, they're not. It's just a way of saying, instead of saying, what's the ratio between the opposite side of an angle and its hypotenuse? That's the definition of sine theta. But that's too long. As I've said before, mathematicians are some of the laziest people you'll find, and they try to simplify things, and they end up calling these things sine, cosine, and tangent. Where they got those names from, I haven't looked into the history where the name came from. I hope that's clear. Is that clear? Does that make sense? Would you like expanding on that? I forget who was asked that. Trigonometry, trigonometry. I'm just going enough to see who asked about the trig ratios. And by the way, if you already have the opposite and the hypotenuse, so let's assume you have a triangle. Let's erase this. Let's assume you have a triangle. You already have the two sides, or two sides you're trying to compare. Let's assume you have, this is six and this is 15, and you want to find angle theta. Well, you want to find this angle, and the two sides that you have is this and this. Remember, if this is a 90-degree triangle, you can always find this, just using a Pythagorean theorem. But right now we don't care if we're trying to find theta. So if you're trying to find theta, what am I looking at? Mathematics. If you're trying to find theta, well, what sides of this triangle do you have relative to this angle? You have the opposite side and the hypotenuse. So you look at your formulas, you go, which formula has opposite and hypotenuse? Oh, we got this one, opposite and hypotenuse. So just fill in the blanks. So you got sine theta is equal to six over hypotenuse is 15. So how do you isolate? Now, the only variable you need to get by itself now is theta. And the way you isolate this on your calculator, you got something called second function of the sine sine inverse. So the way you separate the sine and the theta, you got theta is equal to sine inverse of six over 15. And if you punch that in, you'll find out what the angle is. And that's the ratio of what the opposite side is relative to the hypotenuse of this angle. And if you punch that in here, let's punch it in. Six divided by 15. And you go trigonometry, second sine is 23.6 degrees. So theta is equal to 23.6 degrees. So any triangle that has an angle, any right angle triangle that has an angle of 23.6 degrees, its ratio will always be six over 15, which is really two over 5.4. So the relationship between this side, relative to this side, that divided by that will be 0.4. What does that mean? What's 15 times 0.4? It's six. So the opposite side will always be 0.4, 40% of the length of the hypotenuse. Okay? No, we only open up a black hole and we divide by zero. If you divide by zero, black hole pops and the universe explodes. That's where the black hole comes in from. That's where the black hole is. Why can't we travel at the speed of light? Enigma. Why can't we travel at the speed of light? Do you like sci-fi? I hope you like sci-fi. Why can't you travel at the speed of light? For anyone that's like Star Trek, Star Wars, any sci-fi, infinite mass. If you try to travel at the speed of light, you get infinite mass. Do you know why you get infinite mass? I'm going to erase this. The reason you get infinite mass is because in Einstein's paper on the electrodynamics of moving bodies, not zero mass, infinite mass, in Albert Einstein's paper that he wrote on the electrodynamics of moving bodies, if you end up traveling at the speed of light, in his equations, whatever the equation is, I forget what all the symbols are, in the bottom, you're going to get velocity minus c. And velocity is your speed, and c is the speed of light. Speed of light. So if your velocity, your v, is equal to the speed of light, you're going to get whatever the rest of the variables are. Whatever the rest of the variables are, and there's a couple here. Right? You're going to get, if your velocity is the same as speed of light, you're going to get c minus c, which is going to be that over that times zero. And you're going to get whatever that is, that times zero is zero. You're going to get a division by zero and the universe explodes. You can't divide by zero. That's the limitation of mathematics. All right? Donate. Light has no mass. How can it have infinite mass? Not infinite mass. Why we can't travel at the speed of light? We, anything in this universe of matter, so no matter can travel at the speed of light. So nothing material that has any type of weight can travel at the speed of light because this mass would be infinite. It would require an infinite amount of energy to take this pen and make it travel at the speed of light. Traveling without moving. Elder God, how are you doing? Fold space. That's why there's a lot of in science fiction. There's a huge, huge emphasis on folding space, like in Dune. The worm, the spice, the worm creatures, the spice that you get off Arachnus from the worms, that allows that certain species to be able to fold space. And you just step over that space. So if this is your space, let's say, let's say this planar, you fold this, you bring these two points together, you step over, unfold, and you've traveled light years without moving. That's different though. Yeah, for sure. Light can travel at the speed of light because light is light. Fear is the mind killer, fear is the mind killer, fear is the mind killer. Here's the kicker with mathematics. A lot of people hate mathematics because they fear mathematics. So right away, they just killed their minds. They're not able to process information. Their learning capacity is reduced, which is very unfortunate. Folding space is possible. I think so too. I think folding space is possible. I don't think we're there mathematically. Or mathematically we are, but we're not there practically. We can't do it right now. Mathematically speaking. Yeah, theoretically speaking. Yeah, abba. Abba for. How could we know the exact trigonometric value of every angle? There used to be, before calculators, there used to be tables you looked at. You looked up at. It's actually from a series. It's like, I forget what the sequences are. It's a series of numbers that you add together. It's an infinite series. So it's like x squared plus x squared over 2 plus x squared over 4 plus x squared over 8 plus. I don't know what the exact series are, but that's how they generated it. So with your calculator, when you type in inverse sign of a number, so if you type in sine, so theta is equal to inverse sine of 0.4, which we got, which was 23 point something, right? What was it? Do I still have it up? Yeah. So this was equal to 23 point 5, 7, 8, 1, 7, 8, 4, 1, 7, 8, 4, 7, 8, 2, 0, 7, 8, 2, 0, dot, dot, dot. The more accurate the significant figures here are based on how far down the sequence you go. Now I don't know if this isn't the sequence series for sine, but it's something along those lines. Sorry. I just woke up getting ready for 21, 20. What a ride. What a ride. What a ride. What a ride. No, you don't need to apologize, but that's where it comes from. And I don't know the sequence in the series, what they are for sine and cosine and stuff. You missed it by about a year. Oh yeah, it's 21, 20. It should be 21, 21, right? Or 20, 21, depending on which convention you follow. Good catch, Eugene, by the way. Good catch. Fun. Gang, that's a fun stream. Great problem at the beginning. Great problem at the beginning. And we did a little bit of a trick. You missed the joke. Did I miss the joke? What did I miss? 21, 20, 21, 20. Oh, what? No. 21, 20. Rush? No, that's not rush. 21, 12. 21, 20. What's the joke? I missed the joke. What's the joke, Elder God? Let us know what the joke is. What the hell? That went over my head then. 21, 20. Fold the space again. Fold the space again. Cheryl comes in. Cheryl slips into the folded space again. Oh, so, hold on. I want to know what this joke is. What's going on? 21, 20. 21, 20. I want to know the joke. I can't remember jokes. I laugh at certain jokes, but some of my jokes were pretty nasty. Hey, guys, what's up? Tony, Buzz, how are you doing? Hope you're doing well, brother or sister, right? I hope you're doing well. Enjoying your Tuesday afternoon or if you're across the other side of the planet, your Wednesday morning. Never mind. It's a dark joke. Is it a dark joke? Oh, Elder God. Tell us the dark joke on Discord. Have you heard something about the Laurent sequence? Yeah, I can't put it. I don't remember what it is. Yeah, but if you study mathematics, I know I'm dealt with it. I just can't remember it. I don't remember what it is. Wednesday morning. Wednesday morning. Good morning. Not for mathematics stream. Not for mathematics streams. We've got to be strict with that from now on. None of the other chaos and math and comic books and whatnot. Unless comic books are dealing with the chaos, of course, right? It's just gone too far. It's gone too dark. It's gone so dark. Chico can't even get his 13 comics he bought. I have popcorn ready for tomorrow. I think it's going to be a non-event. I think it's going to be a non-event. But tomorrow I'm actually going to be on someone else's video. They want to talk politics with me. So here, let me find you their website or their YouTube channel. They're not live streaming it. It's going to be pre-recorded, but they'll have the video up later on tomorrow or the following day. Hopefully, I don't put my foot in my mouth. But gang, if you want to follow these guys, they're on YouTube. They have a YouTube channel. They share lots of information, a great couple of people, and they bring in a lot of guests. And their grassroots foot's on the ground in the United States talking politics, economics, and some of the turmoil that's going on. Grassroots. If you're getting any type of information, this is the type of people you want to listen to and get their perspective on what's really going on. Cheryl, I always tell jokes out of order. So several friends stop me and say, hold on. Are you telling a joke? If so, just stop right there. At which point we're all rolling? Did he mail back? No, I don't think so. I haven't checked my email. I'm so disappointed. Every time I think about it, I'm in the grand scheme of things. It really doesn't matter, right? But we do have our little joys that we like to indulge. No, he hasn't emailed back yet. I don't expect to hear from him. I don't know. No, he didn't email back yet. Very weird. This is like the weirdest, if it was a scam, it's the weirdest scam I've ever had perpetrated on me because I still got graphic novels sent to me. The guy had to pay for shipping, tracking. The deal we got on the books was already amazing, but those books were pretty important. And the elder god, Kung Fu fighter, the first appearance of Kung Fu fighter, it was in there. I don't have it. Pooper scooper. I need your beer. So bad now. No, you said January, nothing elder god. You've received good value for this guy. I know. That's the kicker Gina. It's the weird because I checked some of the books. We checked some of the books. Some of those books were mint conditioned. We got Teenage Mutant Ninja Turtles, number three, second print of number three and second print of number five. Like in pretty very nice condition, right? And plus Seribus, like early issues and first appearances, the up the yin yang and special covers, like one in 25, 175 bucks for $250, including straight pink. Plus, we got Gideon's Falls, trade paperback, one, two, three, four, brand new. That's like a reverse scam, but it's just a weirdest scam. I know. It's just, I think the scam was you get so excited. You build up your, your, oh my God, I got the greatest deal on earth on eBay during this buy. And it brings down to a level was, oh, I got a really great deal. Not the greatest deal I ever got on eBay, but a really great deal. It's weird. It's very weird, very weird. The funny experience, funny experience. It is what it is. It is what it is. Funny. I know Elder God, my kung fu fighter number one. It was in the mail, but it was Gideon Falls. It was in the mail twice, but it never showed. Booper, scooper, booper, scooper. And first appearance of Huntress. Anyway, it is what it is. We'll see what happens. Can't do anything about it now, but that fun gang. So this was the last sort of stream for this set for scheduled live streams. Tomorrow I'm going to be on that show. They'll have the video up either tomorrow or the next day. Okay. I'm not sure what the discussion is going to be. It's an interesting day to have it. Wow, wow, wow. All right. And then we also get two kittens tomorrow. Our two kittens are supposed to arrive tomorrow. I hope they arrive. The comic books didn't arrive. I hope the kittens arrive. The kittens arriving. I'm going to do some random streams of the kittens. We're going to show you our kittens and introduce you to our kittens. And our kittens' names are Sal and Via. They're two boys. They're brothers. Okay. So two brothers, Sal and Via. And hopefully finger crossed. Everything goes okay. They arrive tomorrow and we'll do streams, random streams. And I'll show you guys the kittens. I hope you love them. I still need to meet my comics for a while. Oh, you still haven't, oh, you haven't gone there. That's right. Cooper, scooper. I hope they're, like I packaged them tight in foam and stuff. I hope they haven't been sitting there too long, getting squished. Hopefully not. But you'll get them at some point. They're just crossed. At some point the lockdowns are going to be over, right? Anyway gang, look, I hope you have a fantastic day. Thank you for being here. As for my outro, I am on Patreon. Patreon.com forward slash chico, C-H-Y-C-H-O. If you want to support this work, if you want to follow this work, Patreon is a great way to do so. I don't put a theme behind paywalls. Everything's creative, common, share and share. Like, for those of you who've been supporting this work for a while and for those of you who just joined up, thank you very much for the support gang. It is a large part because of your support that we're able to do this. And gang, don't forget, free Assange, free Assange, Julian Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capitalist powers for humanity, right? More information on Julian Assange and WikiLeaks playlist, of course, right? We are live streaming on Twitch, twitch.tv forward slash chico live, C-H-Y-C-H-O-L-I-V-E. If you want to participate in the chat, Twitch is where you want to be at. Those of you who've been following, subscribing, bits, points, participating in the discussion shown up to the live streams and the mods, thank you for taking care of business. Thanks, chico. And great question. Gina, I enjoyed that. Yeah, great question. The circle one was fantastic, right? Fantastic. Yes, thank you, chico. Yeah, me too. Me too. And thank you, Graham. And thank you, Graham and Son in Leo 98 for helping us out to solve that thing. And Graham for finding the link for us, right? I do announce these live streams before we go live on Mind's L-O-V-K Gap Parler when it comes back online and Twitter. And we do have a Discord page. You can come to our channel anytime you want. I'm punching social and all the links will pop up and there's a Discord link there where people have joined the Discord page, 700 plus people sharing information, talking, challenging each other, sharing as much as we can, open discourse, right? No censorship. Okay. For live streams, when we don't have any visuals, we do upload the audio to SoundCloud.com forward slash chico. C-H-Y-C-H-O is a podcast and they should be available in your favorite podcasting platform. And we will be uploading this video, this live stream to YouTube, Bichute, Rumble, and Odyssey. I'm most likely going to use Twitch's editor to break up the question with the circles into one segment and the question for the trigonometry into another segment and then upload the full stream. So that's what I'm sort of gearing towards right now to doing. And if you're on those platforms, you can share, you can like, subscribe, you can comment. And if you're on YouTube, you can support this work by joining YouTube membership. There's a button there. For those of you who joined YouTube membership, thank you very much for the support. And as Elder God says, the sleeper must awaken. Okay. And the sleeper could be inclusive, not just an individual. Gang, I hope you have a fantastic day. And I'll see you in the next few days. Rumble needs more followers, indeed, on all the platforms, on all the platforms. Bye, everyone.