In lecture 19 of our lecture series, we introduced the notion of mathematical induction. We called it the first principle of mathematical induction as the name suggests there's a second principle of mathematical induction that we are gonna introduce now. Now the first principle of mathematical induction that we introduced earlier is typically just referred to as the principle of mathematical induction or the principle of induction or just induction for short. The second principle of induction that we're introducing right now is commonly referred to as strong induction. Some people refer to this as the first principle by weak induction, but that's not a very common term, but strong induction is commonly used here. And when you compare the principles, the first principle and the second principle of induction, you'll see why this adjective strong is used here. So let's state what the second principle induction says.  And suppose that S of N sub zero here, well, so just so you'll be clear here, N sub zero could be any integer. It's indexed by the natural number zero in this case. So suppose that we know it's true for S of N sub zero. So this is our base case. We have the base case established. If for all integers K, so that K is greater than or equal to N sub zero, we know that S of N zero is true. S of N zero plus one is true. S of N zero plus two is true. All the way up to SK is true. If that implies that S of K plus one is true, then SN is true for all integers greater than equal to N sub zero. Now on the surface, if you're not careful about how we read this, we might not see what's the difference between the first principle and second principles in induction. For the first principle of induction, the difference comes down to your inductive hypothesis. So you have your base case. That part's exactly the same. For the, for the, for regular induction, your inductive hypothesis only assumes, only assumes that SK is a true statement. And then you use SK to show that SK plus one is true. With strong induction, you actually assume that all of the statements up until SK are true. And then of course, if that implies that SK plus one is true, then it's true for all of the integers greater than N zero. And so that's what makes it strong. It has a stronger assumption. That is to say that the, there's a stronger inductive hypothesis. You have more assumptions about the predecessors. For weak induction, you only assume that the immediate predecessor has the property. But for strong induction, you assume that all of the predecessors have that property right there. So if I were to rewrite these principles in induction, you're gonna get what I call weak induction. Again, this is the first principle induction and we'll abbreviate this as I for short. I for induction. We can then actually write this as a statement. I'm gonna use logical forms right here. So instead of the symbol S, let's recall it P for a moment. The statements, because I wanna use S for strong induction in just a moment. So if we really relabel all of these statements as P, right? So we have this sequence of statements P sub N. So this is a statement. A statement about N, okay?  So for induction, we have a base case. And for simplicity sake, I'll just call P sub zero. It should be N sub zero. It doesn't have to start at zero. But again, for simplicity, we're just gonna call it zero. Up to relabeling, if the statement is about N, we could make it a, and if the statement is about N sub zero, we could make it about zero itself. That's just semantics at that point. So you assume that the base case is true. You also assume, so there's an N statement here, for all K, for all K, which are natural numbers, because we're starting with zero here, that P of K implies P of K plus one. Okay? So we know that P of zero is true. And if P of K is true, then P of K plus one is true. That then implies the statement for all N, which are natural numbers, we have, let me rewrite that natural number, it looked a little bit better, we have that P of N holds. Now I could fit that in there. P of N holds. Little cramp, but we can do it. So what this means here is that you read this conditional statement. We have the base case as a hypothesis. And we also have that, this is our inductive step here. If P K holds, then P K plus one holds. If this is true for every natural number, then these imply this right here, that the statement holds. This is, if you write it in symbolic logic, this is what the principle, the first principle of mathematical induction tells us. Now let's then change our perspective here into strong induction. How does that change things? So we'll call this one S for strong induction. Well, we both assume, both of them assume the base case, but what's different now is that we have our inductive step is very, very different. It starts off the same for all K inside of the natural numbers. We have this big old A N statement where I ranges from zero to K, P of I. So we assume all of the previous steps are true. That then implies P of K plus one is true. And so then if you have these hypotheses, this implies that for all N inside of the natural numbers, P of N holds, like so. So the difference I'm trying to highlight here is that in this situation, we only assume P sub K. And in this case, we assume everything up until P sub K. So this gives us the first, this gives us the first implication pretty quickly, that I implies S. We get that one very immediately, that if I is a true statement, then S is a true statement because S has more hypotheses. And so if I can prove this to be true with fewer hypotheses, then adding more hypotheses is perfectly fine. It might be superfluous to add the extra hypotheses, but we get that direction. That's the easy direction. Whoops. This is the easy direction. The other direction is a little bit more challenging to get here, but it's actually not so ridiculous when you actually try to unravel it a little bit here because this is how induction works. Honestly, if you think of it like a recursive sequence, what this is basically telling you is that if P sub zero is true, then that implies because we know these implications here, we know that, so what we're trying to do here is that we're trying to, we assume S to be true. So we assume the principle of strong induction. Now we wanna prove this principle of weak induction here. Well, induction itself is a conditional statement. So we assume this to be true and then we need to prove that this is true. So what we're gonna do here, so we have that Pk implies Pk plus one and we have the base case, okay? So if P zero works, that means P one works because P zero implies P one, but then also means by this P two works and by this P three works and P four works and P five works until we get up to Pk. And then once we have all of them, P zero, P one, P two, P three, P four up to Pk, we've then satisfied the conditions of strong induction. So P zero plus the strong assumption then gives us Pn for all natural numbers. That's then the conclusion of weak induction. And so sure enough, there's a little bit of more of an argument here, but strong induction implies weak induction, but also weak induction implies strong induction. So from a logical perspective, these two principles of mathematical induction are actually logically equivalent to each other. The domino effect is the same in both of them. And so anything that you could prove using induction, you can also prove using strong induction and vice versa. Now, when it comes to strong induction, I would say that it has the advantage that your inductive hypothesis is stronger because you have it true for all of the previous cases, not just the immediate predecessor. That can be extremely useful in proofs when the regular induction doesn't necessarily have that. So some people say like, I will only use strong induction when I must use it, which to be fair, you never need it because it's equivalent to weak induction. Now I confess that there's, it really comes down to writing, right? It comes to writing style that for me personally, if I'm trying to prove something, do I use strong induction or do I want, do I use weak induction? Which one do I use? Well, it kind of comes down to that if I only need the immediate predecessor to prove my inductive step, I'm going to use weak induction and that's how I'm going to do it now. But if I do want to use more predecessors than just the immediate predecessor, then I'll use strong induction right there. It's never wrong to use strong induction always. That is, you just always take the most assumptions that you can, even if you don't use them, there's nothing wrong with that. Some people shy away from it because they're like, well, that's you're using extra assumptions, you don't need shame on you, but it's like they're there, they're true. But so that's how I break it down. If I'm only going to use the immediate predecessor, then I will write it as an induction proof. And that's how I kind of do it by default. But then as I'm writing the proof, if I realize actually I want to use not necessarily the immediate predecessor, but I want to use any predecessor, I'll then rewrite it in revision to a strong induction proof and go forward from there. So let me give you some examples of proofs by strong induction because these would be two good examples on why you might want a predecessor besides just the immediate predecessor. Because with our previous induction arguments, we'd only needed the immediate predecessor. Why might you want a generic predecessor? Well, it turns out when you make arguments about divisibility, about divisors of an integer, the immediate number in front of it is not a divisor. Like if you have N, the number N, you can actually show that N minus one does not divide it. But at the same time, the divisors take N to be a positive integer here, the positive divisors of N aren't gonna be smaller numbers than N, but not the immediately first smaller number there. So they're gonna be somewhere smaller for which, so this is why strong induction can be very useful because if you know the statement's true for all smaller numbers and the divisor shows up here as some smaller number, it can be quite useful. So let's demonstrate that. Two proofs about divisors. So let's take this one here. Let N be a natural number such that N is greater than one. So I don't wanna use zero here and I don't wanna use one because when it comes to divisibility, N and zero are a little bit different, right? Zero has this property that anything times zero is equal to zero and one has the property anything times one is equal to N. One is the multiplicative identity and zero is the multiplicative absorber. And so because of that, their divisibility traits are a little bit different. So we'll just focus on positive integers greater than one, so like two, three, four, five, et cetera. It turns out that every natural number greater than one has a prime divisor and we can prove this by strong induction. To do this, we start off with a base case. So the smallest number in play here is two, right? N equals two, two does have a prime divisor because two itself is a prime number. Two divides two and that's our prime divisor. So then for the sake of induction, we're gonna assume that all natural numbers from two to K minus one have a prime divisor. So every number from two to K minus one, let's assume we have shown that they have a prime divisor. Now let's consider the K, the K number. So when N equals K, can we show that K has a prime divisor? Well, if K is itself a prime number, then K divides K just like it did with two divides two and we're done, all right? So if K, we're doing this by cases here. If K is prime, we have an argument. If K is not prime, then K is necessarily composite and there exists positive integers A and B such that K equals A and B. Now this gets to the fact that I was mentioning earlier. If K is a positive number and A and B are positive divisors of it, I can then argue that A and B are numbers between one and K, all right? So I can assume since this is a composite number that A is not K itself. But I also know that A is not equal to one because if A was one, that would imply that B was K, but I also can assume that B is a proper divisor of K. So these two numbers, A and B are divisors that sits somewhere between one and K. And as such, the inductive hypothesis applies to these numbers. A and B, neither of them are gonna be K minus one, but there's some numbers between two and K minus one. So the inductive hypothesis applies. Therefore, the number A has a prime divisor, A equals P times C, where P is a prime and C is just any integer, I don't care what it is. And therefore, when you look at K, K equals A times B. A, I can then factor as PC. And so I can write that as K equals P times CB. Therefore, P divides K and K then has a prime divisor. And hence, every positive integer greater than one has a prime divisor by strong induction. So you saw in this argument here that I used my inductive hypothesis on the number A. I know A sits somewhere between one and K, but I don't know where it is. And this is why it was extremely useful to have my hypothesis cover all numbers between two and K minus one, because I don't know where A landed and that's okay. Strong induction gives that to us. Let's look at one more example of strong induction here. For all positive integers N and primes P, there exists a natural number K, such that P to the M divides N, but P to the M plus one does not divide M, N here. This is sort of like a, this natural number here should be an M, not a K. Sorry about that. So we have, for every positive integer N and every prime, there's this maximum number of times that the prime divides into it. This is sort of like a precursor to the fundamental theorem of arithmetic, which tells us that every natural number has a prime factorization, I mean, other than zero and one. We excluded those for the previous proof for that reason here. So there's this maximum number of times a prime divides it. Like for example, if I take the number 12, 12 is equal to two squared, two squared times three. And so two squares, the maximum number of times that two divides 12. On the other hand, you can take something like say eight, this is two cubed times nothing else. So two, three is the maximum number of times two divides eight. We can take like 15, prime factorization is three times five, and actually two divides that no times. So you get two to the zero in that situation. It is a natural number. So that's what we wanna argue right here. I'm gonna again prove this by strong induction. So we're gonna start off with N equals zero. At this time, I am doing pause integers. So N equals zero, and I don't actually care which prime this is. This is just a generic prime here. When you take N equals one, excuse me, P to the zero, which is equal to one, divides one, one divides one. But on the other hand, P to the first does not divide one. No primes divide one. So this gives us the base case. For the number one, your base case is in fact equal to zero. Now also be clear as we go through this argument, the prime P is fixed throughout the whole thing. It's arbitrary, but it's fixed. It's not a different prime, even though I don't care which prime it is. So for our inductive hypothesis, we're gonna assume the statement holds for all numbers between one and up to K, not including K at that moment. We know it's true for one, and we're gonna assume that every number two, three, four, five, et cetera, up to K, it's also been proven to be true. So let's consider N equals K. Well, we have two possibilities. If P does not divide K, that could happen, then we set M equals zero and we're done. Cause again, M is a natural number. That's the natural number we're gonna choose right there. On the other hand, if P does divide K, then that means we can factor K so that it looks like P times A. Now, like we talked about in the previous proof, A is a positive divisor of K, so it's gonna be less than K, but it's also gonna be greater than or equal to one. So the inductive hypothesis applies in the strong sense. So I don't suspect that A is equal to K minus one. In fact, it can't happen because it's not gonna be divisor of K in that situation. Of course, there is a notable exception, like a K equals two, then of course, one is equal to K minus one. It is a divisor in that situation. But the important thing is I'm not supposing that A equals K minus one. It's probably not. But because a strong induction, as long as I'm any number smaller than K, then the inductive hypothesis applies. So therefore, with regard to the prime P, there is some number M such that P to the M divides A and P to the M plus one doesn't divide A, which actually would suggest that P doesn't divide B in this situation here. So we have this factorization, A equals P to the M times B and the prime P does not divide B, otherwise you'd have a larger power of P dividing A. And so we're gonna insert this into the previous equation here. So K equals PA, which equals P times PM times B, which then gives us PM plus one times B. Now, like we said earlier, P does not divide B. Therefore, it turns out that M plus one is the number we're looking for. P plus two doesn't divide K because that would then force us to have that P divides B and we don't have that situation. This is a consequence of Euclid's lemma, which we'll talk about actually in the very next, later on in this unit about induction. So don't worry about that right now. And therefore the proof then follows by strong induction, just like we saw before. This is again, this example of using divisors is really a good place to emphasize strong induction because I need to know information about a generic predecessor as opposed to the immediate predecessor, strong induction has a huge advantage. And try not to get dog down into this debate about whether I should use strong induction or not. If you write every induction proof using strong induction, there is nothing logically wrong with that. It comes only down to stylistic reasons or cultural reasons, like everyone shuns you for using strong induction when you didn't need to. But using weak induction is logically equivalent to strong induction. So from a logical point of view, it doesn't matter which one you use. It honestly comes down to the composition of the proof. These two examples that we've seen in this video were so much easier to write the proof using strong induction over weak induction, therefore we use strong induction. But I could rewrite the proof using weak induction, that's perfectly fine. On the other hand though, if I'm writing a proof and I only need the previous term, I can write it as a strong induction proof, but you're making assumptions you don't need and that doesn't lead to great mathematical writing. So I would then suggest weak induction in that regard. So in the end, it doesn't matter which one you use, it's only for the sake of composition that you're gonna decide whether you use the strong induction or the regular induction principles.


5 weaknesses all narcissists have but don't want you to know. Narcissists have a lot of weaknesses, they're not the big bad wolves that they pretend to be, they're very fragile and there are many ways that you can turn the tables on them, there are many ways you can reverse the situation and gain the upper hand and it all starts by identifying some of their main weaknesses. 1. Jealousy, narcissists are very jealous. They feel envious resentment of other people and their achievements, possessions and perceived advantages so they begin to feel and show opposition and dislike. They become unfriendly, they become anxious to prevent and put an interview, they disagree with you on everything, they always have to like and support something that is opposite to what you like, they're always contrasting and conflicting with you because that's how they gain control and they need control because they're very insecure, they're very weak and fragile, they're always comparing themselves to other people, they're always looking at other people's lives and wondering why they have what they have, wondering why they don't have that and believing that they are more deserving of it. Narcissists are very jealous because they're very ungrateful, they're never happy with anything they have which makes them very weak because they can't be happy for anyone, they're always comparing themselves, they're always scanning the environment for threats, they're always looking for competition. 2. Greed, narcissists are very greedy, they have intense and selfish desires for wealth power and even food, they don't know when to stop, they always want more, they are insatiable, they have an appetite that is impossible to satisfy which is why it's so difficult to reach an agreement with them and to deal or bargain with them, there's never a resolution, there's never an act of solving the problem or finding a way to improve the difficult situation because they're never satisfied, they're never happy with anything which is one of their main weaknesses because just like anyone else they want to feel satisfied, they want to be happy. 3. Lack of empathy, they lack the ability to understand and share other people's feelings and experiences, they lack the ability to imagine what it would be like to be in another person's situation, they don't understand what you're experiencing from within your frame of reference, they don't share your feelings and emotions as if they were their own, so it's like they're deaf and blind, because they don't see or hear anyone else's opinions or perspectives other than their own, so they're not open to any kind of resolution, nothing ever gets resolved with them because people don't feel like they're being seen or heard with them, people don't feel like they matter so they never progress because they don't see other people's opinions or perspectives. 4. Criticism, narcissists are very sensitive to criticism because they have no inner sense of value, so they're very easily offended, it doesn't take much to set them off, they can dish it out but they can't take it, they can easily criticize other people, but they don't like it when other people criticize them, even if it's constructive, even if it's intended to have a useful and beneficial purpose, they don't want to hear it, they don't want to take accountability for anything, so they don't learn from their mistakes, they don't improve anything. 5. Paranoia, they always think people are out to get them, they think people are against them because they have a black and white mentality, where you're either with them or against them, and if you're not supporting them, then you must be their enemy, so they're always on edge, they're always waiting for the other shooter drop when you may be trying to cooperate with them, but they can't see it because they're so paranoid, their anxiety and fear takes over them. Thank you for watching, I hope this video resonates with you, please like, comment, share and subscribe, if you would like to donate, my PayPal link is in the video description, coaching inquiries, you can email me at coaching at Narcisfy.vet.uk, thank you for watching and I'll talk to you soon.


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Because in Fatima, the difference is quality. Ask your dealer for Fatima in the bright, sunny yellow pack. Fatima. Best of all, king-size cigarettes. The documented drama of an actual crime. For the next 30 minutes in cooperation with the Los Angeles Police Department, you will travel step by step on the side of the law through an actual case transcribed from official police files. From beginning to end, from crime to punishment, Dragnet is the story of your police force in action. It was Tuesday, August 9th. It was warm in Los Angeles. My partner's Ed Jacobs. The boss is Captain Kearney. My name's Friday. It was 728 PM when I got to Lincoln Park, the West entrance. Hey, sir. Got a couple of bags of peanuts, please. Yeah, sure thing. Ten a bag, that'll be 20 cents. All right, thank you. Thank you. Hi, Friday. Jack. It'll come over sooner. I saw you walking around the park one to make sure you weren't tailed. Yeah, make sure of that before I came in.  See, there's a lot of stuff just came in town. Some new pushers came with it, you know that? Yeah, I heard some talk. Like to knock them over? I got the contact. What's in it for you, Jack? A couple of reasons. One thing I'd like to pay you back. I got out of jail last week. I talked to the wife. She told me what you've been doing for her and the kids while I've been out. A nice family, Jack. You let them down. And you didn't. I'm not going to forget it. Wife still has that job you got it. The kid's asthma is a lot better, too. Appreciate you finding that place into hunger for him. It's your health. I was glad to do it. Want some peanuts? Yeah, thanks. Now, what about this narco ring you mentioned? Remember Snuffy Brain? Yeah. Busted in the same time he did me, got a year. Yeah. Just before I got out of county last week, he told me to go see a guy who'd get me a job. What kind of a job? Same kind you busted me on before, pushing his stuff. What's the guy's name? Cadillac Red. Hm? Yeah. New York, I think. Likes to drive big cars. I guess that's how he got the name. Hm? What's the story on him? Red's been in town a month. Four or five guys with him off in the east. Red says they got a big one to unload. Six kilos. Harold? Mm-hm. Mexican stuff. They seem to be having trouble. What do you mean? Finding pushers, setting up a deal. The only contact they had out here was Snuffy. He's in a can to shop in the room. How about the one peanut snack? Yeah. You talked to this Red, did you? Mm-hm. What's he asking from you? Like I said, he wants me to start pushing stuff for him. They need contacts bad. I let him hang. I didn't say one way or the other. He's going to phone me tonight. Then so? Wait for you'll tell him. Depends on you, Friday. I know one thing. I'm not going to start pushing the junk again.  You figure what you want to do, I'll help all I can. I owe you that much. You pretty sure the gang needs contacts? Hungry for them. Sitting on 20 ounces of junk. Can't find anyone to trust to push it to. They got problems. Yeah. Think you could give me an office to them, pass me off as a buyer, a friend of yours, maybe. There's a chance. How do you want to do it? Well, let them know you have a friend who's ready for a buy. Tell them I'm from up north. Make it Fresno. Red Mountain Neighbor, is that all right? OK, sounds good. This man, Cadillac Red, he's going to phone you tonight, is that right? Mm-hmm. I'll call you as soon as I hear from him. All right, fine. Don't call me at the office. Right here. Here's my home phone. Don't worry about it, it's a silent number. I can't trace it. Mm-hmm. When you call there, if I'm not in, leave the message with my mother, OK? Your mother, OK. Pleasant 49321. OK, I'll ring you. How much do you know about this Red? He impresses you as a big operator? Middle size, I guess. He's out in New York, that's about all I know for sure. Same for the rest of the gang. Supposed to be handling quality stuff real good. How good? Red claims to test out 40%. I don't know what his asking price is. Where's this Red's staying? Did you find that out? No, he wouldn't tell me. He was at a hotel on West 7th, but he moved yesterday. Nervous guy, doesn't sit along in one place. Guess he's got a right to be shaky, all of them, I have. How do you mean? Got all that dough in the white stuff, close to 50 G's worth.  We'll kill a lot more if we don't. Before I left our informant, Jack Wallace, we set up a plan for future contacts. In case of any emergency, I would not attempt to get in touch with him at his rooming house at Third and Olive Streets. Instead, I'd contact him at his work, the Joe Adonis meat market, on West Temple, where he was employed as a butcher. Wallace also promised to try to get me a sample of the heroin from the narcotics ring. 10.50 PM, I check back in at the office and brief Captain Kearney. Sounds a little fantastic, Joe, six kilos. If it's true, it's a break a cop gets once in a lifetime. Lots of way Wallace tells it. I can't figure any reason why he lied to me. How about this front man, Red? You checked him out yet? Well, Ed's checking him through the moniker file now. He's a New York operator. That's all Wallace could tell me. You got any idea where the plant is? No, I don't. Wallace didn't even know where Red was living. Red's supposed to have a meet with him tonight. I gave him my home phone and told him not to contact the office. You got any court cases pending? No, but I got two I was going to file on tomorrow. You better give me the packages. I'll have Lou Walters assign them to somebody else.  All right. Wallace is going to try to get your sample of the junk, huh? Yeah, he said he'd try. Captain, Joe. Hi. Hi, Ed. You dig up anything? I don't know. Found one Cadillac Red. Could be our boy. You get a mug on him? No, all we have is correspondence from New York. There was a want on him back in 1945. Same thing, narcotics. Later that year, the want was canceled. He was picked up. No disposition. You want us to radiogram New York for a rundown on him? No, let's not stir it up. Starting tomorrow, you two stay away from here. Get yourselves fixed up in a hotel room downtown. Let me know where you're staying. OK. Call me at 2 o'clock sharp in the afternoon. I'll make it a point to be here. Better call me on the inside line. Right, Skipper. Where do you think we ought to set up, Joe? Oh, I don't know. How about Pop Sherman's place down there on Hill Street? Hill Co-operate. You know what that stuff did to his boy? Yeah, OK. You want to check in tonight? No, my wife's going to scream her head off as it is. You better make it in the morning, huh? All right, we'll do it. Narcotics, Kearney. Oh, yes, man, just a minute for you, Joe. OK, thank you. Friday talking. Oh, yeah, ma. Did he say what time? Yeah, OK. No, don't worry, I'll get a bite downtown and I'll be home. Yeah, OK, bye. My mother, Wallace, just called my home, left a message for me. He had the meat with red. He's got the sample. At 7 30 the next morning, Ed Jacobs and I checked in at Pop Sherman's hotel on South Hill Street and took adjoining rooms. We'd left all possible identification in our lockers at the office. At 9 30 AM, technicians from our crime lab arrived and installed a bug in my room and set up the receiver next door in Ed's room. In the event any of the gang happened to come to my room, they'd be able to record the conversation. I registered as Paul Lindsay, San Diego, California. Ed registered as Ray Morrissey, Sacramento. At 11 AM, I went alone to a Donis meat market where our informant, Jack Wallace, handed me a dummy package, which I took back to the hotel. Inside the package, I found a sample of the narcotics along with a note from Wallace. He wrote that he arranged a meat with red for that night. I was to pick up Wallace in front of the subway terminal building, the Hill Street side, at 9 30 PM. I gave the sample of heroin to Ed, who took it to the crime lab, where Sergeant Jay Allen ran a test on it. The sample tested out within 40%. For the drug market, it's considered good quality. At 9 20 that night, I left the hotel and walked five blocks north to the Hill Street entrance of the subway terminal building. Wallace was there waiting for me. He said we were to meet red at a hotel on West 54th Street. 9 47 PM, we got to the hotel, went to a room on the second floor. This one here. OK. Yeah? Yeah, who's that? It's Jack. Morning. Red, this is my friend I was telling you about. Yeah? Paul Lindsay. Paul is his red. Hi. Yeah, I hear you got some H to unload, huh? What are you talking about? What is this, Jack? You giving me a bump steer here? Relax, and it's all right. He's solid, Red. You can talk. He talks too fast and too much. I'm here to do business. If you're ready, I am. If you're not, say so.  I'll take it easy with you. Get along a lot better. What do you want, Jack Vox for me? Isn't that enough for you? The guy who Vox for Jacks in the county jail we haven't been able to talk to him. What have you done business before? Well, I could ask you the same thing. Now, look, mister, we got one thing in common here. You got something to sell. Maybe I want to buy it. If we can't get together, let's forget the whole thing right now. You're not the only pusher in town. There's a chair over there. Why don't you sit down? I'll fix a couple of drinks. Jack can fix them. Let's find out if you and I can get together. All right. Same, Paul, bourbon and water? Yeah. Well, how about it? How much you got to sell?  There's no rush. Talk better over a couple of drinks. Well, maybe you got the time, mister, I haven't. How much can you furnish me with? More than you can buy from the looks of you. Hey, Red, you got any lemons? Oh, no. No lemon twist, ain't it, Paul? That all right? Yeah, that's all right. Make it light, will you? Now, this junk you got, what's it test? It's the best this town's seen in a long time. It's 50% or better. Who you trying to con? My tester used your sample this afternoon. He says it won't go 40%. OK. You know where you can get better? Paul. Here you are. Red. Thank you. How about a Lindsay? Do we do business? Maybe. Oh, he's playing cozy now. Well, if I do go, it won't be for standard price. Your junk isn't worth it. It's 40%. I don't care what your tester says. An ounce will cost you 400. No, not to me, it won't. I'm not paying out good money for milk sugar. I want a big buying. I want quality, but not at 400 an ounce. Maybe we can work something out. Why get excited? Because I don't like chicken operators. I don't like stalling around. Now, if you've got an offer, let's make it. Price is going to depend on a lot of things. How much merchandise are you going to want? 20 ounces. I got customers up north. I have to have it for them the 15th of the month. Up north where? San Francisco Sacramento. That's funny. We checked on them. Yeah. Yeah, the hotel you're at. You're registered for San Diego. Yeah, good address. I've never been there. I heard some talk about you. You ever worked Fresno? Maybe. I take customers where I find them. 20 ounces, huh? At the minimum? For your stuff, yeah. Now, what's the price? I think we might get together. It's a pretty good buy. Might work out a discount on it. How much? Three and a quarter an ounce. I figure that's reasonable. Maybe you do, I don't. $2.75. I can't go better. If I didn't need this stuff right now, I wouldn't offer that. Split the difference. 20 ounces, 300 an ounce. You can't do better than you know it. Now, how about it? 300 an ounce? I'm not lining up for a soft touch. I want another sample when I move on. You'll get it.  All right, you got a deal. 20 ounces, when do I get this stuff? We'll get in touch with you tomorrow through Jackie. $6,000. You sure you got the money? I got it. Now, what's the setup? Tomorrow, you'll get the word. All right. If I don't hear by 4 PM, I'll know you're gone hinky. I'll look up somebody else. You're here. How about it, Jack? You ready to go? Yeah, OK. See you later, Red. Jack? Yeah? You got a wife and a couple of kids. That's right. How are they, Jack? OK, fine. Why? Nothing. I'll talk to you later, Jack. 10 40 PM.  I got to a pay telephone called Captain Kearney and my partner, Ed Jacobs, and we set up a meeting. 11 20 PM. The three of us met on the side street out in the North Wilshire District and I briefed them on what had happened. In order to prevent any possible harm to either Wallace or his family, the captain told me he'd have them placed under 24-hour surveillance. His children would be kept under observation going and coming from school. The next morning, I stayed close to my hotel room waiting for a contact from either Red or another member of the gang. 105 PM. Hello. Lindsay, this is Red. Yeah. That talk we had last night, you still interested. Well, yeah, aren't you?  Mission road. All right. You going to be there? No. How I know your man, he might make a mistake. You won't make a mistake, you know. I hung up the phone and checked with Ed Jacobs next door to see if he'd picked up the conversation on his receiver. He told me he'd notify Captain Kearney of the plan for that night and that the captain would be in the office if I wanted to contact him on the inside line. As soon as I picked up the sample of heroin, I was to return to my hotel room and Ed would immediately take it back to the crime lab for analysis. 130 PM. I left the hotel, went downtown to a payphone, called home and talked to my mother. She said there hadn't been any phone calls. I walked around for a couple of hours, went to a late afternoon show, and then I went over to Frank Tang's place for dinner. 1115 PM. I caught a yellow street car going north on Main Street and rode to the end of the line on Mission Road. It was about 300 yards from there to the designated meeting place, the west end of the park. The place was dark, completely deserted. 1125 PM. 1130. Lindsey? Yeah? Package you want? Eucalyptus tree back there in the middle of the park. Where? Straight back there. You can't miss it. You'll find the package under a rock at the bottom of the tree. See you later. I started across the park. Eucalyptus tree pointed out was about 200 feet from the edge of the road. There was a narrow path hemmed with shrubbery leading up to the base of the tree. It was a large rock beside it. I bent down and looked under the rock. There was nothing there. I started to turn, but it was too late. All right, boys. Give me the whole stand. Shake his pockets, Dan. No identification on him. He's clean. Let's go. He's got his sample. You are listening to Dragnet, authentic stories of your police force in action. Fatima, America's first largest selling blended cigarette, now king size. See the difference. Taste the difference. Smoke the difference. And in Fatima, the difference is quality. Yes, you get all the advantages of extra length, plus Fatima quality, which no other king size cigarette has. You see, Fatima contains the finest domestic and Turkish tobaccos, superbly blended, and Fatima is extra mild, with a much different, much better flavor and aroma. Fatima, definitely the best quality in its class, but the same price as the cigarette you are now smoking. No wonder more smokers now insist on king size Fatima than ever before. Friends, try Fatima. Buy several packs. Compare them. We're convinced you'll start the new year with Fatima. Yes, when you see the difference, taste the difference, smoke the difference, you'll switch to Fatima. Because in Fatima, the difference is quality by Fatima. Best of all, king size cigarettes. When I came to, it was a few minutes past midnight.  I felt dazed, sick to my stomach. I made my way out of the park and down the road to a public phone booth, where I called my partner Ed Jacobs. He came out right away and drove me back to the hotel. Ed put in a call to Captain Kearney, and he made arrangements to have a doctor sent over to examine me. He treated me for numerous cuts and bruises about the face and head in the upper part of the body. There were no serious injuries. At 10 minutes past 1, Captain Kearney called back and wanted to know if Ed and I could meet him at his home. He didn't want to take the chance of being seen around our hotel. Ed and I drove out to his house in the Silver Lake district. Come on in. Sit down. Yeah, thanks, Gipper. How do you feel, Joe? My side hurts a little. Fair, I guess. Yeah, they really gave you a working over. Do you recognize any of them? Yeah, one guy. I don't know his name, though.  No, that's not going to help any. Suppose we pick them up now. What do we got on them? A misdemeanor, battery, 30 days in jail, and they're out again. We're right back where we started. What do you figures wrong, Joe? Think they got hinky? I don't know. I can't figure it. I think you better take a couple of days off, go home, and rest up. Let some of those bruises heal. The whole thing could be blown by that time. The deal will be cold. If we're going to make it pay, I got to stay on it. How do you know they haven't made you for a cop? The deal might be cold right now. Yeah, that's possible. What other reason would they have for tamping you? How about your friend, Jack Wallace? You might have a straight story. Ask him about it. No, I'll do better. I'll ask Red. Captain Kearney finally agreed to go on with the plan with the understanding that Ed Jacobs and another man from our office would have me under surveillance at all times. It was understood that I'd go back to Red's hotel room to see if I could pick up the loose ends. Jacobs and another officer would follow me to the hotel and remain within calling distance. 2 10 AM, I got to the hotel on West Fifth Street and went up to the second floor to Red's room. Yeah, who's that? Lindsay. How you doing, Lindsay? Lazy punk. Red Lindsay, wait a minute. What's this all about? You want to know, you set your hoods on me.  I don't know what you're talking about. I went back to pick up the sample. This is what happens.  All right, Stan, what happened out there? How much? You said he was acting smart. We thought he'd cool him off a little. I told you to keep an eye on him. That's all. Not to rough him up.  We hardly touched him.  Every time you get on that ache, you get muscle happy. I've warned you before, Stan. Now, this is the last time. You better quit chipping with that junk. You cause me more trouble, I guess, than you're out. Understand? He's a crybaby, Red. We didn't hurt him. I heard enough from you. Now go on. Take a walk. OK. You see, Max, tell him I want him. Yeah, all right. Sorry, Lindsay. These things happen sometimes. Can't be helped. Why do you keep punks like that around? I thought you were too smart to connect with users. They could get both of us in trouble. Oh, they'll be all right. Relax. Every once in a while, they get geed up and have to straighten them out. I wouldn't trust them with my laundry. They're all right for what I use them for. They're good errand boys. I get you a drink. No. All right. What about this stuff? You ready to move on the deal? I've been ready. I told you I needed this stuff for the 15th. How about tomorrow night? What's the matter with right now? You know better than that. I don't keep the plan around here. I'll call you at 8 o'clock tomorrow night. I still haven't got the sample. You don't need one. It's as good as the first one you got. Come on. What are you stalling for? I'm getting tired of this sample, yak. If you don't want to buy, say so. You'll bring it to my hotel tomorrow night? Oh, I'll call you. I'll tell you where you can pick it up. 20 ounces, 300 knots, right? Yeah, no phony stuff. You keep your hands on the table so a lot. You deliver the merchandise. I'll pay the money. What are you worrying about? I trust you. Why can't you trust me? Sure, I did.  I left Red and went back downtown to my hotel room. A few minutes after I got in, I heard Ed Jacobs and Lieutenant Lou Walters enter the adjoining room. I checked the hallway first, and then I went next door and briefed him on what had happened with Red. I told him I'd let Ed know about the time and the place of the meet as soon as I heard. Walters said he'd keep enough men ready at the office to cover the area on short notice. I went back to my room, took a shower, and got some sleep. At 8 o'clock that night, I was in my room standing by the phone. I waited. No call. 8.30, 9 o'clock, 9.15, still no word. 9.25 PM. Hello? Lindsay, this is Red. Sorry, I'm late. I couldn't get to the plant. What's the pitch? It's outside. Norwich Grill, West 7th Street. When? 10.30, shot. Before he hung up, Red told me to meet one of his pushers in the last booth at the back end of the grill. He said I'd recognize him. The man would have the package of heroin wrapped in newspapers. I was to hand him $6,000, and he would give me the package. I immediately contacted Ed in the room next door, and he notified the office. At 10.15 PM, I left the hotel with a dummy package of money containing six smart bills. 10.28 PM. I got to the Norwich Grill on West 7th Street. It was almost empty. I went to the rear booth, where I found one of Red's pushers, Stan, drinking coffee. Right on the dot. Sit down, Lindsay. Yeah. Let's not camp on this thing. You got the money? I done business with you before. Where's the stuff? Didn't Red tell you where to be? Yeah. Wrapped up in that newspaper. He told me there'd be some stuff under a rock one time. It wasn't there. I want to look. What's the matter? Don't you trust me? You think I got a reason to? All right. Have a look. Yeah, are you satisfied? No. Open it. It's all there. I saw it made up. Had enough for you? Yeah. OK. You just made a deal. Yeah, what you have? Coffee, black, a piece of apple pie. All right. You? Coffee. All right. OK, stuff's there. Now how about the loot? I got it. Let's have it. Six G's. Red wants me back in a hurry. Well, relax. We'll have some coffee. This is a big deal. Money, now how about it? All right. There you go. What's the matter with you? What are you shaking about? Nothing, a little nervous. Red wouldn't let me have a fix for her left. Getting a little sick. Gonna have a look here. What are you doing? Red told me to tell you not to open it till you got it back to him. Well, you're kidding, mister. All right. You go ahead and open it up. You'll have to answer for it, not me. Sure. Hey, what's the deal? Only a few bills in here, the rest of it's paper. Are you trying to beat us? It's already done. You won't get away with this. We'll fix you up Max's outside. Friday, we saw him take the envelope. You get the stuff? Yeah, right here. The guy waiting outside, Joe. We got him. They're taking him in now. Cops, lozzy cops. Will Red hears about this? He will, Ed. Yeah, I'll get him. OK, let's go. Come on, fella, move. What are you grabbing me for? I deliver the stuff.  Mine, I'm small time. Fix once in a while, that's all I want. Just a little fix is the biggest deal I ever made. Yeah, sure. It's the truth. Now, what about Red? He's got a lot of this stuff left. This guy's above him. Big dealers. Why don't you get them? We'll get them. You'll never guess who the other two are. They're real high powers, big deals. Not more big deals. You won't bust them 100 years. Yeah, let's go.  Yeah, OK. Hey, forgot your check. Who's going to pay for the coffee? Hey, Will. Oh. This one. Me? Yeah, you just made a big deal. The story you have just heard was true. The names were changed to protect the innocent. On August 13, the booking was made at the Los Angeles Police Department, Watt's substation city and county of Los Angeles, state of California. In a moment, the results of that booking. And now here is our star, Jack Webb. Thank you, George Fenerman. Friends, last year, we were honored with thousands of letters from listeners all over the country, letters telling us that you've bought Fatimas and you find them the best of all king-sized cigarettes. Well, thanks to you and the many thousands of other smokers who have switched to Fatima. Now, if you haven't tried Fatimas yet, make this your cue for the new year. Next time, get yourself a pack of Fatimas. Compare them, see the difference, taste the difference, smoke the difference. And when you do, I'm convinced that you'll switch to Fatima. Because believe me, in Fatima, the difference is quality. The two suspects, Stanley Parrish and Max Higbee, were booked at the Watt substation on suspicion, the Narcotic Act felony. After a meeting in the district attorney's office, they expressed their desire to assist the police in the apprehension of the outstanding members of the gang. They were filed on, and before a magistrate in municipal court, they waived their right to a preliminary hearing to conceal the fact of their arrest. Next week, the big red, part two. Ladies and gentlemen, to build our strength against aggression, we must equip our armed forces with the weapons of war. At the same time, we must produce adequate supplies of civilian goods in order to keep prices down and defeat inflation. We can meet this double challenge by raising our productivity, by turning out more goods and services for every hour we work, and by refusing to let up until our nation is secure. Remember the better we produce, the stronger we grow. You have just heard Dragnet, a series of authentic cases from official files. Technical advice comes from the Office of Chief of Police, W.H. Parker, Los Angeles Police Department. Heard tonight were Barney Phillips and Stacey Harris, scripted by Jim Moser, music by Walter Schumann. Hell, give me speaking. Fatima cigarettes, best of all, king-size cigarettes, has brought you Dragnet transcribed from Los Angeles. Every one of your waking hours, NBC broadcasts the very finest in comedy, mystery, music, drama, news, and programs of public service. So always set your dial to NBC, the leader in radio programming. Counter-Spy fights international intrigue next on NBC.


Hello and welcome to this session. This is Professor Farhad in which we would look at what is the alpha of a stock? As always before we start, I would like to remind you to connect with me only then if you haven't done so Subscribe to my YouTube where I have one thousand eight hundred plus accounting auditing tax finance as well as Excel tutorials If you like my lectures, please like them and share them if they benefit you if you're listening to this recording It means you are here to looking for help. Please share this help with others Also visit my website farhadlectures.com for additional resources the complement and supplement this course as well as your other Accounting and finance courses. So what is the alpha of a stock? Well, simply put it's the difference between the expected return the stock expected return and its return Per the security market line or simply put following the cap M formula Which is the capital asset pricing model and what's that formula the expected return equal to the risk free rate Plus the beta times the expected return on the market minus the risk-free rate The best way to illustrate this is to work an example to show you how it works Suppose the return on the market is expected to be 14 percent We have a stock with the beta of 1.2 and the T-bill rate is 6 percent, which is the risk-free rate The SML would predict an expected return as follow will take the risk-free rate of 6 percent plus beta Times 16 a 14 minus 6, which is the risk premium will give us an expected return of 15.6 as per the security market line. So simply put When we say we said 14 percent here This is the expected return on the market and the expected return on the market Well, we should have a beta of 1 so this is right here and this is the security market line Any stock falls on this line. We say it's fairly priced Obviously, this this is a beta a stock a beta of 1 its expected return is 14 Now when we said a beta of 1.2 when we said this stock is a beta of 1.2 the expected return of this stock should be 15.6 So per the capital asset asset pricing model the expected return of this stock should be 15.6. Now, let's assume if one believes that the stock will provide instead a 17 percent return not 15.6. Well, if it if at beta 1.2, we're going to earn Let me change the color here if we're going to earn at beta 1.2 if we believe it's gonna be 17 percent It means we have a positive alpha of 1.4, which is the difference between 17 and 15.6. What should we do? It means this stock because it's not on the security market line It's above the security market line. It's above the security market line We should buy it if we expect it to be If we expect it to earn 17 percent because according to the cap M it should only earn 15.6 So this stock is outperforming outperforming. Let's assume the expected return is is only 15 So, let me do this in a different color if the expected return is let's say 15 is here. Let me go back Let's say let's use this color 15 will be right here. So 1.2 It will be someplace here 15 someplace here Then we have a negative beta of negative sex. What does that mean? It means this stock will underperform the market What should I do? I should sell the stock because it's underperforming and buy the stock that's overperforming Let's take a look at another example to see how this all fits together Stock XYZ has an expected return of 12 percent a beta of 1 Stock ABC is expected to earn 13 percent with a beta of 1.5 The market expected return is 11 percent risk free rate is 5 According to the cap M which stock is a better buy and what's the alpha for each stock actually from the alpha? We're gonna know which one is the better buy and plug the SML and the two stocks Well, we can't let them roughly first. Let's compute the cap the expected return for each stock starting with x y Z well, what we're gonna do. We're gonna take the risk free rate, which is 5 percent risk free rate plus the beta of x y c the beta of x y c is 1 plus 1 times The market return is expected to be What's the market return here it's expected to be 11 percent right here. Sorry 11 percent Minus the risk free rate 5 percent. This is all percentages. So let's do this 11 minus 5 equal to 6 6 times 1 equal to 6 So the expected return on XYZ stock is 11 percent Hold on a second the expected return is 11 percent per cap M. This is I'm gonna write this per Cap M, but we're saying the expected return is 12 We should definitely buy the stock because it's gonna outperform outperform By by how much what's the positive alpha positive alpha of 1? Well, let's look at ABC Maybe ABC has higher positive or maybe it lies exactly on the cap M line or maybe below the cap M line Let's see for ABC Again, the risk free rate is 5 percent. This is all percentage plus the beta for this stock is 1.5 Multiply by 11 percent minus 5 percent and that's 6 6 times 1.5 is 9 Plus 5 is 14. So per cap M Per cap M. We need to be earning. We should be earning 14 percent. Hold on a second. What we're saying is The expected return is 13. The difference between them is negative one. This is a negative alpha So this one has a positive alpha and This one a negative alpha, which one would you buy? You will buy the positive alpha because the positive alpha will out outperform the Market so what would it look like? It would look something like this. So this is 5 percent risk free rate. This is the beta. This is the expected return and Let's just draw a line here and start to plug in some numbers a beta of 1 Beta of 1 per cap M. It should be 11. So let's see. This is 11 So this is what it should be. But what happened is Beta of 1 the return was 12 Okay, this is for For that for the first stock the second stock the beta is 1.5 Per cap M per cap M. It should have been 14 percent. So this is going to be right here. So it should have been 14 percent, but what actually happened this stock is expected to earn only 13 so it has it has a negative beta. Sorry my you know Hopefully you get the point from the prior graph But hopefully also get the point the difference the difference of 1 percent positive alpha and 1 1 percent negative alpha Which stock would I buy? I will buy the stock with positive alpha because it's outperforming It's outperforming the cap M. As always, I'm gonna remind you to like this recording Please visit my website farheadlectures.com for additional resources for this course as well as your CPA preparation best of luck good luck study hard and most importantly Stay safe


That's right bitches. I'm back. Hi friends. My name is for free shavakadoo I guess it's been a while since I've been in this room.  Yes, I just finished knee on Genesis Evangelion. Oh my god that show that fucks you up real bad One could say I've dabbled in making bees specifically minecraft bees I'm familiar with bees, Cardi B, Michael with the bee, the beetles, bee plus averages And I saw this TikTok that was like a few months ago Everyone sent it to me.  So I've seen it. All right I've seen the TikTok. You can stop now I make one video about a minecraft bee and then suddenly I'm the low racks of the bees and I'm finally caving I'm gonna make it. I didn't want to do it because then it would be time-consuming. I would never use them I would put them up once and never bother taking them down So you know I'm about to put them around here and I just don't want to do it. Very lazy. It's Christmas break But I'm bored at home. I fish all of NGE in a day in one sitting plus the movie. Something is wrong So let's do some work. All right, very Michael. I'm gonna set you aside. You'll be the mascot today No, these are not anal beads. They're called perler beads They're basically little plastic things that you can melt with an iron and they make patterns Usually people do pixel art so two months ago. I bought this then a month ago. I bought that I also bought an iron at the same time I spent money on an iron for no reason and a week ago I was gonna film this but then Frederick realized there's no brown in my perler bee collection as you can see on our Diagram there is a lot of brown around here. There's a lot of dark brown So I had to order some on Amazon if this is not enough. I don't know what to do guys This is regular brown. I wanted dark brown, but it was out of stock. So we're just gonna make it do I'm not buying anymore because I don't care or should I I'm not gonna do it and that's not all I bought I also had to buy separate colors black yellow and white. Why this is exactly why I didn't want to do this Let's make some bees. This has a collection of all different types of blue I need the light blue and the transparent for the wings This has some light orange that I'm gonna use for texture and this has other shades of yellow and orange That I need to use and everything else is useless to me So I'm gonna have 10,000 extra beads for no reason. Maybe I'll melt it into one big ball But right now only four colors are organized and I need to separate all of this so Yeah, I guess Oh whoever recommended this video. You're on my hit list. This is from TJ Maxx if you're wondering I'm gonna organize them. We're gonna plop them like this Okay I'm gonna do that for you for you.  I'm trying to cut Frederick cut. Wait. I'm naked. Okay, so today's Christmas We had a windstorm yesterday, so I literally couldn't record because all you would hear was It's still going on a little bit But either way I would like this to be over because I think I spent a total of three hours too many Organizing these beads. I have orange a lighter orange light blue and translucent and the rest of them are all in here So if you would like me to add more to the string like collection, let me know what other types of things you want me to make I'll make a creeper head. I can probably make a squid. The only color I don't have is red So all I have to do now is just prepare them and then proceed to iron. Luckily I have parchment paper I bought it for baking and I just remembered you need it for this I need to look up this template really quick and then change my camera angle because you don't need to see my face Okay, so I have a template right here I'm watching a video because this has obviously been done before so I will credit this in the description because I know that This tutorial is much better than what I'm about to show you. So let me zoom you guys out show you what I have I have some qualms about these pearler beads I literally wrote down notes while I was organizing. First of all the tweezers suck If you have carpal tunnel or like any form of arthritis, this is not good for you If you lose this clear one on a carpet good luck finding it I have lost five and if you're also colorblind well, this is just hell for you I don't know why they don't package it so that each color is individual inside the packet That's the end of my rant. I'm gonna start off with the head Oh my god, this can take forever Wow, you know, this is so efficient Oh god, what ages this for again ages six plus I don't know how a six-year-old has the patience to do this Let me see how long this takes me to complete one thing I'm also realizing now. I did not need this orange because it's not used in the template So I just wasted more time. Oh my god No, stop it. Please open. Please. It's gonna burst Who seals it like this?  You know what? Okay. No, that worked These came in handy for once they can rip open plastic. Okay, I'm just gonna see if That doesn't work. Okay. I was hoping it would fall into place and that didn't happen. Now everything is jumbled here Let me get very close for this. Do you see how?  You can only make pixel art I would make pokemons sprites out of them. I just had all the time in the world. I was in elementary school We didn't have tests back then I feel like now no child has the time to finish this because you got to study for a quiz or go to soccer practice This also calls for a pastel yellow. We don't have the budget for that So I'm not doing that and I would like to get rid of all of this Okay, how long did that take basically five minutes? I started the timer late. So if there's One, two, one, two, three, four, five Oh my god, I can't count six pieces That's gonna take 30 minutes to make one B body and that's not including the wings or the antenna or the legs This is day two of Frederick's suffering If you would like to add your own day one of blank in the comments I would appreciate that they make me laugh a lot and you know what if it makes me laugh I'll heart it. Okay. How about that?  I organized all the orange for nothing please Oh Jesus, you know, if you're lucky you can pick up two at the same time which helps so little at the end of the day Okay, so this is the brown. Wait, what am I doing? Use the method This ripped it right open. I'm gonna probably make different bees So one's probably gonna have black stripes because that's how it should be because this is not dark enough I feel like but it's okay. I want all of my bees to look different because I want them all to be unique So I'm gonna change them up. Please Please Oh my god I'm sorry if you don't have good hand-eye coordination this I lost it guys. I don't know where that went. We're not getting it back Now I have to duplicate this on this side No, god damn it. Is this why you wanted me to do this?  I don't know how many I'm willing to make before I give up I'm gonna see if I can go to three a solid three. Okay. I think these are equal. Yeah So now that the sides are done, we have to do the top and the bottom. Don't touch it All right, and now the bottom there's some holes in here though. I don't understand what that means I think they're for the legs My back needs a break. Hold on.  Did not mean to say it that way or did I okay? I think that's a let me double check triple check quadruple check one more thing to do and that's the butt I wonder if I just do this. Maybe I'll get a head start How did the perler bead go in between the holes? Wait, they're all in between the holes. Are you kidding me? They're all off by one.  I can't even get mad at this because if I do this, I know it'll mess everything up Yep. Okay. This is your template. Take a good look at it So I'm gonna go ahead and do some other ones I'm gonna do a total of four before I pass out and give up and contemplate my life because it's christmas And what am I doing and I'm gonna cue an intense montage. So yeah, let's do that Did I put an anime reference in there? Probably did I'm done. As you can see, I have four completed bees. Here are our types. We have original Realistically accurate angry and blushing I'm not doing more in case you're wondering because uh, I don't want to my back said we're done forever Actually a way I found to make this less painful not tolerable Just a little bit less pain inducing is to put the color in your hand So when I was doing all the orange, I would just take a whole handful And then it's easier to grab them by two and I would do it in pairs. So basically I cut my time in half Which thinking about it if I was a kid, I wouldn't have done that So this would have taken all night instead, which is just even more painful when I think about it Either way, I think I'm supposed to iron now. I'm going to double check because my god if I mess this up I'm going to throw fit now. Keep in mind. I've only done the body so far So I haven't even thought about antenna, which I might do right now Because I feel like I can save space and just get it all done Hold on. I'm gonna make a tiktok really quick So for the antenna and wings the template looks like this and I think I can fit all of that on here I forgot to mention I messed up on I think this one because Yeah, so this side is down a little bit and I had to move this here instead because I made the B head One too high and just because I made that one mistake Suddenly nothing fits so double check your space because this is like just enough to have Everything fit this way in that way. So I'm going to just do this in the corner. I feel like that's safest I think this is for the butt If you haven't subscribed by now, I would recommend doing so because my back sets That's my christmas gift My christmas gift to my back was giving it a break and look what I'm doing to it on christmas day breaking it again Then I have antenna, which I don't know how they're supposed to connect that makes this makes no sense to me Like is that really going to connect diagonally? I don't believe so because I remember how hard it was to even iron the stuff to the point where it All melted together. They're very delicate. So I'm not moving it when I'm done. No when I finish this project I'm keeping it in this room because I know if I touch it it will break Um, I don't know if I can fit everything anymore. I'm gonna try we're gonna try at worst case I have to do the the wings by themselves, but this is pretty good so far six pairs of legs They're also looking like elves say less. I can do this. I know how to maximize space I live in the new york apartment. I can fit one right here beautiful Wow, look at me. This is so good three legs already All right, let's think again if I want to save space for the wings I can do one right here So that's four pairs of legs already and I don't know how many spaces the wings cost But either way I'm just going to put these in the corners and we should be good there It fits wing wing done But just keep in mind you need this exact template if it's going to work for you The original package I bought came with like some star shapes I'm like, what why? It was a heart. It was a star and then one was like a hexagon and that was not cute It was not efficient either So I just bought a separate pack of templates if you want to use this exact stuff I'll link it but just just no this isn't cheap for some reason plastic beads cost 30 dollars Why for what? Every time I'm moving my hands around some pieces fly away and I'm so scared. I missed one If one's off, I'm gonna be so mad Okay, I don't have clear but I have translucent with glitter in it. Can you guys see a sparkle?  Maybe count beforehand That would have been a good idea except I still don't know how many colors you need for each So, uh, that's going to be a you problem because I'm not doing that Just like how I don't believe that there are a thousand beads in each packet. No way they count that. Oh my god. I'm done. Wait Let's double check. Yes. I'm done. Okay I guess we iron now. So I have an iron. Thanks mom. Even though I bought one. That's still in my apartment I know how to iron at least and I have parchment paper too. So I'm just gonna take This much Not sure if it's gonna burn the parchment paper. I don't have wax paper. I know that's what you usually use Don't quote me on that. I see people use painters tape too. It works fine So go with your gut and I want to iron both sides of it. I know that much How do I test though? How do I know when you're ready? What if I just I'm gonna trust that you're not releasing steam. I'm just gonna place it there for a second I need some space and I'm gonna zoom you out for this So you can sort of tell when it's melting when you see that it's starting to stick to the parchment Is it melting? Yeah, I can tell it's definitely melting. I just want to make sure I get every side Give it an even amount and you also notice that the more it melts the smaller Oh, that sounds so wrong the smaller the hole gets of each pearler bead And I always should have get it so that it's pretty Pretty melted. You don't want to melt it all the way. I know and if you want to get a specific part Just use the tip. Oh, that sounds wrong too. Use the tip of the iron. Okay, while that rests I'm going to put something on top of it to flatten it and on to my next victim So this one no I just wiped it out. Oh my god. I destroyed it.  It's fine. Hold on Don't do that. First of all. Oh my god. Okay. I'm gonna have to replace my other hand because turns out I cannot use my left hand.   I'm getting I'm getting to you. Oh my god. You're so dramatic No, this was not part of the plan I've rehabilitated it and we're going to try take two do the opposite way this time Oh, and be careful too. This is very hot. I should probably warn that I think I said don't do it unless an adult is present Wait, there's a white here. Why is there a white here? I'm missing something. I'm missing something There's an extra white piece here. I don't know. I'm gonna come from did I miss a piece?  Let's put a box on top of this now and let me show you what it looks like Okay, this is what we got so far. It's all glued. So now we have to flip it over Everything is surprisingly sticking even the ones that are on diagonals. So we have to flip this over Oh lord That not like not like that. Oh a lot of moldy tasking going on here. I don't appreciate it. Oh no, I wiped out another piece Oh, no, I wiped out another one So for this it's a little bit harder because you can't have them stick together You want them to be all separated only problem here is to be cautious of where you're placing your things to make Sure that they don't accidentally glue together. I want to make sure they're very spread apart They have no chance of sticking together and then I'm going to take my other parchment piece and put it over that Like so and then I'm going to just do this I'm going to try not to move anything let it slide let it glide over your stuff I hope I'm doing this right. I stopped looking at the tutorial because I got bored at this point It's all winging it get it because there's wing. Okay, I'll stop. I'm still kind of worried about these diagonal ones I don't know how they're going to stick together. I'm going to really put some focus onto them moment of truth It looks like everything is good. It's very hot. So I'm going to let it cool down We have a minor issue. These did not end up gluing together. So I'm going to try and do that now Oh my god, this is so hard to do. I don't know how to get these two to stick Maybe I need to put them back on. Okay. They stuck together now. Good. Good. Good. Ow. Ow. Damn these hurt I'm going to turn off my iron and just see if I can do the first two bees and let them cool So this should be put together like a puzzle basically Oh, I'm so scared. These are going to break, but that's why we iron both sides I think I ironed too much. This is like impossible to snap. Oh, hurler bees. How durable are you? Okay, it's less snapping and more forcefully pushing them together and hoping they won't break, but it's working Okay, well everything else seems pretty straightforward. I don't want to put this together yet until I have everything ready So I'm just going to go ahead and finish ironing This is day three of Frederick suffering as you can see This is a mess and this is the last bee I have to do. It's the blushing bee problem is I would have finished this last night If this didn't mess up on me. See what happened was I accidentally ironed wrong and it lifted the parchment back accident which then led to a chain of events where this Flipped so everything fell out. The worst part was I didn't capture it on camera So I just wasted my reaction because I couldn't even get content out of it Anyways, I gave up last night because I was too tired and angry, but today is a new day So we're going to finish this now. See what happened was when I did this it slid off and then the parchment paper went up So just be careful. Hmm. I smell burning. I don't like that. I don't like that. This needs to stop it Oh, I really don't appreciate this scent. Hmm. I don't know why it's burning today It did not do that yesterday. So if you could stop that'd be great now Here's a new trick I learned you're gonna do this you're gonna put one thing on top of the other Hold it together flip do this and then lift up and then put this over Wow Will this burn my table? I don't know. Do I really care though? No because this table has been ruined already She is used to pain All right, that's done We're done and flatten it so it doesn't bend while I'm waiting on that. Let's do some of these So this is my draft. I just wanted to see if I could even click the pieces together So these antenna, I just had to sort of mush in there You just kind of have to hope you don't break your things and for these legs I'm pretty sure definitely not this way. Hope and pray it goes through like that there Not so hard. This also be easier if you didn't melt this I might have gone a little bit overboard This is flat now. It's a little pancake-y. So that's why it's harder for it to even push through the hole And I said it. Okay. Yeah, this might be impossible. This might not work This does not seem like it's possible to do. Let me try one less melted. I'm not even being gentle I'm really trying guys. Oh my hands hurt. Jesus. Okay. Oh my god. Come on You can do it kind of have to do it for the video. Okay there Honestly, do I care about getting these legs perfect? Not really I don't think I'm gonna pay attention to the legs of all things. Yeah, this stuff is like indestructible Okay, once you have the base done it's best to do the sides. You just click into place and then right here Yeah, this will be easier if you don't melt it too much I am like forcing this to fit together.  Let me do the stinger Oh god. Oh no, this one's not gonna fit. Jesus. I don't know if I can give this be a stinger I think this is too hard. You could just super glue something to it too. That is another option That's the best. I'm gonna be able to get it This is way too melted for me to even push this through and then click this into place right here If you want to secure it, you could use glue But I'm not gonna do that yet and then finally the face now for the antenna You just have to be careful and slide it in between this little crevice and then hope to god everything stays together While you click it. Okay I'm not gonna put this on yet just because I need to put the light in between it Not really sure how to get the light in there, but we'll figure that out. This is done though It's pretty cute. Look at it. All right next up black bumble bee Oh, this bumble bee is gonna have brown legs by accident That's my bad should have made black legs wasn't thinking about it. Oh not again, please Nope, I need to drill a hole if I'm gonna get any chance of pushing this through This is as difficult as pregnancy. I don't know. I'll never know. I know I don't even want this to have brown legs and I want to give it black legs So I will do that off screen for now You will be legless if anything I should put the top on first and leave the front and back empty so that I can weave the string lights through. Yes, Frederick. Yes. Use that. Oh use that in my new knowledge I went to college to know this Jesus see what happens when you melt them too much. They're not they're not they won't stay put Oh, wait, how do I put the wings on? Oh, no, I do need glue. I didn't even think about the wings yet Well, it's probably better. I do this first then when I put this through the string lights Then I'll put the wings on with some encouragement it went through so this one is done I don't know if you can tell it's a little bit curved. I didn't flatten it My bad. Okay. So to get the butt through you have to sort of Do this not going to explain too much of what I'm doing I've got to loosen it up a little bit and then it'll pop there. See Wow She just needs encouragement and it works. It actually works. I'm not just doing this to tee he everyone Maybe that's why they gave us tweezers This is the real purpose. That's what nyu education taught me how to widen a bee's butthole The only problem is these things don't want to stick this antenna. They won't stay put I might super glue them because they're being annoying. Okay. This one's done grand finale I think this one is my best one because I learned to not melt everything so much and this antenna also looks different I connected everything together because I was like it keeps falling apart. See that's so much easier Oh, why didn't I think about this the first time stingers still need some some help just some assistance Um, hello, what happened here? It appears as though I still messed up I am missing two yellow pieces right here. It's okay. That's fixable. I just don't want to fix it Then you do this and this And this then you got yourself a bee. I'm gonna go ahead and get the string lights. I'll be right back except It's tangled so someone has to untangle this first. All right. We're in the final stretch So what I've concluded is I'm going to bunch up a bunch of these strings inside each bee to hopefully make it more Bright and then I'll hot glue the wings on the bee once I put it on Oh No, everything's ruined Oh, also my hot glue gun is yellow. I hope you appreciate that very on brand I'm just gonna create a little bunch right here I think that's enough lights and then I do this the gaps big enough to make the copper wire go through So I think we'll be okay and then close it once again Pretty delicate might need to hot glue it together if I wanted to be here forever Damn it be here forever, but I think that's good. So I'm just gonna skip ahead Maybe like four lights and then do more and let's do the blushing one next I made another mistake here. I just realized that's a lot of holes. I don't know what happened This is why you should not do this unless you are focused and don't do this at when I am I found the best place to make the light escape is through the antenna because there's also a gap because I did not do it Right or through this gap as you can see if you want to make this more secure You can obviously super glue it inside But obviously I'm going to move these bees around because I'm indecisive And I'm definitely going to question this placement in five minutes. Okay. Angry bee. Oh, hello. That's not right This is not right at all. Why do you have a leg in your butt? Are you into that? No, no, no You need a stinger. All right three done. I just untangled this.  How how is this? Physically possible imagine I do this and then the string lights don't work. Haha Oh, I didn't test them out. So they better or else I'm going to hit something The butt is not cooperating guys. I repeat. Let me first plug this glue gun in actually so much glue Okay, let's see what I can do with this. Oh, that's not what I want. Oh my god. It's already drying. Oh, no, no, no This was not my vision Oh, no Abort a board mission a board mission. Nope restart.  Hopefully it's melting the perler beads too So when I do this I need to put the string lights through but there's some holes here because Frederick messed up last time and didn't put legs on it. So I'm just going to have a legless B. It's fine I don't care. I just want this to work. Okay, let's do it. I think it worked Okay, this is good. Wait, it's backwards. Shit. These are backwards. Oh, no, I can't undo that Oh, no, no, no, this one's hot glued. Can I take it back? I take it back. I'm so sorry I ever hot glued you I take it back No, I even had a feeling that would happen. No, everything's breaking again Okay, I got the beyond except I didn't get the antenna in please go in there and stay in there Okay, everything is in now. I need to put on the wings. So it looks like this It's so cute. Oh my god. It was all worth it. This is so cute Seriously though, this was pretty fun. Now. I don't care about any of that. I just want to know. Will it light up? Oh It worked you guys it worked. Wait, let me turn the lights off Oh my god, this is gorgeous. Look at my bees. They're so cute. This is actually so cute Oh, I'm so happy. I'll give you guys a close-up really quick. This is like the most difficult thing to hold Wow, adorable, amazing, beautiful I definitely want to add more to this. Obviously, there's only a certain amount I made and I got a lot of string light left So, uh, I'm gonna do something. How about you guys comment along with the day one things if you're so pleased Some recommendations of other stuff I should do to add on to my collection of 3d Perler bead string. I don't know what to call this. Probably want to do a glow squid. I feel like it makes sense Maybe creeperhead. Maybe tnt. You guys know the colors. You saw them. I just don't have red I'm going to set these aside because I'm about to break them and that's the end of the video So if you enjoyed give it a like leave a comment down below and subscribe for more videos Whenever I have time to post turn on my notifications so you don't miss out on them Instagram, twitter, twitch, second channel, gaming channel, podcast channel And as always, I love you guys and everything is less than three.  I don't know the week goes to lost coast dolls I'm sorry. I forgot to say it in the video, but thank you so much for your submission Go haul them on instagram right here. Thank you for dealing with my uh, my terrible anime memes. Bye


What's going on everyone Sam here with late in sports guards, and I'm ripping one box of 2022 puny UFC select hobby For Richard V. So good luck Richard.  That'd be awesome. It's awesome. That's awesome Rob Yeah, I'm from Connecticut originally, so I was never I wasn't alive when the whalers were around unfortunately, but um, I Definitely would have been a huge whalers fan if they were around very sad about that First auto BJ Penn nice one there John H and chat that's a potential Hawaii governor right there. Is he really? Yeah, and Rashad Evans on the red to 99 Heck yeah PC Rap the 8 6 oh, baby Got Brandon Moreno on the select flyweight materials nice one there and Silver Khabib's brother rookie For a Khabib family member. I got shale son in scope not numbered Brad was making fun of me the other night when I was doing personals and That 203 and 860 forever Maybe next time dang man Francis and Ghanu silver Dominic Reyes PC are you an 860 or a 203? Serial Ghana on the arctic on side and Francis and Ghanu silver. There you go. Have you a champ my favorite? Gotcha Ian Gary Nina Nunez got Marlon Vera on the light blue to 199 203 tactic gotcha gotcha gotcha. Yeah, I was from like the Hartford area, so I'm 860 all the way I'm the dead middle of 860 Moreno got Dan Hooker tri-color Not numbered on the tri-color Sure got nice Urija Faber on the patch auto bantam wait silver 83 out of 199 congrats on that one heck yeah, that's sick and Tiago Moses Rookie on the tri-color. Oh Yeah, big win for Vera recently for sure Khabib Forrest Griffin silver cane Velazquez got bronze algemae sterling bantam wait nice one there very cool Few more to go here again guys. I'm gonna try to get through as many as I possibly can we will have Personals tomorrow, so whatever doesn't get done tonight. We'll go tomorrow Nice Charles Olivera on the tri-color another champ Mrs. Wain and silver Brandon Roy Val That will do it for your box there Richard congrats on all the hits man. We'll get them right out to you. Thanks again, buddy


Good morning, John. A couple of years ago, I found out a cool secret that there is a warehouse in my hometown right behind me right now. I used to be part of a lumber mill, and there's still lumber mill stuff going on right now. It smells like wood here. But now in that building, they make the soap for like organic luxury beauty brands, brands that you have heard of, but that I cannot say the name's of because this is like a secret. But I can tell you why they do this because it's hard to make great soap. So what happens is companies work with suppliers. And if you want to get amazing soap that feels great and smells delicious and is 100% organic, there's a good chance that you're going to end up working with Botany. It is fascinating to me that there could very easily be two fancy soaps right next to each other on the grocery store shelf with two totally different brands and looks and feels marketed to different groups of people. And you might also have one at a farmer's market and they are all made in this building. Now, Botany's client list is extremely secret. Companies want the people buying their products to imagine that they had like a perfect image of a soap in their mind and that it just started to exist somehow. But like this is the way that it actually works. And the fact that I know people who work at a company who make a high quality luxury bath stuff for some of the most respected companies in the beauty industry is super cool. And the only thing cooler is that I can just work with them, which is what we have been doing. They know so much about soap, about which oils are best to clean while still moisturizing how to source all the best ingredients. And we've been talking to them for over a year now and we are creating our own brand called Sunbase and Soap, which just like all of the other unnameable people who work with this company is extremely nice high quality velvety soap. But unlike them, the Sunbase and Soap Club, you guessed it, donates all of its profit to charity. And because we don't have to do a bunch of fancy marketing around it, the final product is actually cheaper than the brands that work with Botany. You can go now, you can order a sample pack with all five of our current fragrance options, each a different experience with different exfoliants and different fragrances. Everybody in the office has a different favorite, but I think that mine is probably Navigator, which just really like a fresh smell. It's one word description is clean. But one of the best parts of the Sunbase and experience has got to be our product descriptions, right? Here's here's navigators.  And no, an artificial intelligence did not write that. You can subscribe for every month, every two months, or every three months, and for either one, two, three, or six bars with more bulk buying resulting in cheaper individual bars because bulk ordering lowers our costs. FYI, on average, a well-drained bar of soap will last a person who showers once a day about a month. Domestic shipping is $4, no matter how much you order. And of course, you could cancel your subscription at any time. I love this soap. I've been using it for years, and it is made among the mountains of Montana by people who care about their impact on the world. And I'm excited to share it with more people, so you can check out Sunbase and Soap by going to good.store. John, I'll see you on Tuesday.