Listen, man, this is a million dollars worth of game, man. Boxing edition with the one, the only, Shakur Stevenson, man, Jersey's finance, man. Listen, this boy right here, man, he been ducking me for a while. I don't know why. I try to spar him in all different types of states. You know, I didn't know we had to get commission, the laws. There's always an excuse, you know what I mean? Sometimes it's my ACL. Sometimes, you know what I mean? I don't know. I just don't know. But these young boys keep ducking me and Gil. I don't know why. But I know that's a sport of boxing now. Everybody's ducking, you know what I mean? The logo of boxing should be ducked. Now, I'm going to get straight to it. Why people keep ducking? Like, what's going on, man? Why they keep ducking you, man? I think boxing got a bunch of stuff. I think it's a lot of stuff who don't want to lose. Like, a lot of people don't want to lose. And the thing with me, I embarrass a lot of fighters. So I watch my fights. I beat people up and embarrass them. So I don't think people want to be embarrassed. This episode of $1 million worth of game is brought to you by Zip Recruiter. Did you know that if you're an employer who's hiring, the average cost per hire is $4,700? If you're investing that much into each new hire, you want to get it right. So the most effective way to find the best people for your roles is Zip Recruiter. See for yourself, right now, you can try it for free at ZipRecruiter.com slash game and experience the values Zip Recruiter brings to hiring.  There's no cost to try Zip Recruiter. So you can just go there right now. Do-do-do, whoop-bop-bing, get on line. There's no cost. You can post jobs for free so that you can see for yourself how effective Zip Recruiter is in helping you hire. It's simple. Zip Recruiter helps you get the right hire. Four out of five employers who post on Zip Recruiter finds a qualified candidate within the first day. 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Body Armor, doing your thing right. Waiting to see what type of season you had this year.  When you come across that Body Armor, get your sum. Body Armor is available at stores nationwide, nationwide. But make sure you go to the Body Armor store on Amazon and get yours today, right. Did you think, do you think Floyd played a major part in that though? People not wanting to lose because so many of the young fighters now look up to Floyd and Floyd was so big on, I never lost, I never lost, I never lost, I never lost. So, you know, fighters before Floyd, a loss didn't, it didn't determine who you was. It was the best for the best.  But now the younger fighters at the Floyd, everybody whole thing is, I'm undefeated. I can't be beat. I ain't, you think Floyd played a major role in that? I think Floyd played a big role in that, but like with me, I think it's a lot different. Like, honestly, like my honest opinion when it comes to stuff like that, I'm not scared of taking chances. Like I'm not, scared money don't make no money. So I'm not scared to put everything on the line. Like losing don't give me feel. I'm the type of person I want to take every risk that I can.  So honestly, I do think Floyd played a part in that, but you can't blame Floyd. Nah, I ain't blaming him.  You want to be similar to that person. Right, you know what I mean? You kind of take on what he took on. Like, yeah, I'm undefeated. Yeah, that was a big thing about Floyd. Like nobody can't beat me. But we can't forget that there was other great fighters in our generation. I mean, in other generations, like Sugar Ray Leonard, Tommy Hearns, Roberto Duran, on Fighters Who. Wasn't undefeated. For everybody. Everybody. They wasn't undefeated and they are great. But absolutely. In his sport of boxing. To me, the greatest fighter of all time is Muhammad Ali.  You know, that just did a lot for, not only boxing, but a lot for black people. Yeah, I think, you can't really pinpoint one greatest of all time. Just because of the fact that it's opinionated. Absolutely. My opinion? I said my opinion. My opinion, as of right now, I'm gonna go with Floyd. Just because that was who I seen in my generation. But other people that's older than me, they be thinking Muhammad Ali. Sugar Ray Leonard. Sugar Ray Robinson. That's who I heard a lot. He was smooth. He was that guy, Mike Tyson. He got a lot of people, but like, I think people be overdoing the whole loss.    I'm 7 to 31, but I still came through to do, I didn't get them 31 fights, you know, I did what I needed to do. Did you fight everybody though? I fought everybody, I needed to fight. So it was like, it was, you know. Did you fight the best though? I got 31 losses. It was all a journey, man. But I wasn't scared to fight nobody though.  People be scared, people be scared, listen, I'm, this one I'm saying, everybody is scared to fight. I can't even, listen, I'm gonna be straight up. I wasn't seasoned in the business of boxing. I'm still not that well-versed, but I'm just saying from understanding the aspect of like, damn, how you just could, I thought they posed to fight them. The number one team played the number one team, right? The play, it's like, I'm thinking like the playoffs. Oh damn, they ready to fight. Gil like, no, they ain't gonna fight. Why? Because this promoter, all this ain't happening. This ain't this much, this much. So my whole thing is, when you and Devon gonna fight? I mean, at the end of the day, I want to fight. Like I'm a fighter. I love boxing. I love boxing. All I do is sit and watch boxing all day, every day. I came up, when I came up, we fought everybody. You know me for going to Sparta. Everybody in the entire world, right? I go to Sparta. Any fighter you can think of, I done been in the ring with. That's because I'm not scared. I'm a fighter who I want to challenge myself against the best. I've always been that way. Me and Devon is not fighting because of Devon.  What's chump change? Is it a percentage? Yeah, chump change is, I'll tell you exactly what it is. They offered me less than I made in my last three fights for supposedly the biggest fight of my career. I didn't. So you mean all three fights together, less than them three? Less than my last three fights was, I ain't. You ain't saying the money. Don't get into the money. But you just saying the last three fights together, this is gonna be less. No, no, no. He's saying the last three fights, if I made X amount of money this fight, then I made X amount of money this fight, then I made X amount of money this fight. And then now I'm supposed to be fighting. This supposed to be a big fight, but y'all trying to get me less than what I made in them three fights? I fought Yoshino, I fought Oscar Valdez, I fought Robb St. Cunseise South. I made more in them fights than what I was offered to fight him. Well, let me ask you a question. But hold on, but they put it in the media that they offered you. 25%. And that's a lot. Hold on, they did offer me that. Okay, okay. That's true. They put it in the media. I don't know if they put it in the media, I ain't gonna wanna say that, I'm gonna say it was in the media. Right, it was in the media. That's why we gonna straighten it out now. That they gave you 25% that, and that 25% would have came out to be more money than you ever made. That was the reports in the media. And they put a specific number out there too. Like eight million. Exactly. They say eight million. I see everything. So if it was eight million, right, how much would he have made? Let me ask you a question. 32 million. It would have been, what, 32, right? Something like that. 32 million now it got eight. Or 24 million. Whatever it was. Because if he give me you 25, he taking it. Smart man, smart man. But look, 24, you think he was making 24 million dollars versus me? Top rank is doing the fight. Top rank is doing the fight. How, how in the world would I be, if I was offered eight million, I'm jumping. Jump, quick, quick, quick, come on. Eight million, let's do it. Set it up. You know what I, this is what I wanted. It's live. There's so many lives. No doubt in your mind. I'm, and I'ma flip it up. No doubt in your mind.  Now I'm, it's another one after that. Let me ask you a question there. I'ma answer your question with a question. Do you have two eyes? Yes. Can you pay attention to boxing? Look at him and look at me. I actually got three. I got three though, but that's another story. Look at him and look at me though. I'm, I'm a way better fighter than him. He's not on my level. Now I'ma say this. If you know you a better fighter than him, I know money is money. You're not, you got money. You got a bag. You're not broke. Why not say, you know what? I'ma take that to beach and take your hole. I didn't say no. I went to another direction. Cause that's the twist narrative. Cause they only focus on one thing. I, I went another direction. I said, okay, I'ma enforce the WBC to do their job. So I enforced my mandatory. Once I enforced my mandatory, this man gave up the belt and moved up to 140. Who is ducking who? I, I didn't say, okay, I hear y'all a little offer. Cool. I'ma just go this route. I'ma go this way. I do that. And then this man moves up to 140. I can't control what this man do. I can't control what other fighters do. Y'all clearly see there's a million people that don't want to fight me. There's a million fighters that don't want to get in the ring with me. Is it frustrating sometime? Do you ever say to yourself, I'm not going to get that big fight I deserve? It's stressful. It's very stressful and frustrating because this is what I do for a living. I do this every day of my life. I love boxing. So at the end of the day, it's stressful, it's frustrating, but I believe in God. And I know that God is, God has everything written down already. So what's happening right now is meant to happen. And what's going to happen in the future for me is going to happen the way that is supposed to happen. You listen, who the top five fighters you want to fight right now? Be like, yo, what's it like? Right now I want to fight y'all. Number one tank. I mean, honestly, number one tank. Me and me and tank is the best fight. I think that's the fight. You could name 15 of the fighters, but it's one fight that truthfully need to happen. What's stopping that fight? I don't know. I can't tell you. I'm not tank at the end of the day. I'm going to be real, I'm a real nigga. So I'm going to tell y'all to like the real, the truth. I'm not tank. He's the big star. He's the pay-per-view star. I can't throw no offers to tank. I'm not, who am I to throw an offer to the biggest star in boxing? What I'm going to offer him? What? Like, it don't make sense. So that will have to be on their part, on their team to want to do that. I want to do it. I would love that fight. I think that's the best fight in boxing if he's speaking like skills-wise. He's not going to tell y'all that because however he be thinking, he think the way that he think, but me, truthfully, I think that's the best fight in boxing and I want to prove to the world who I truly am. So you can name five fighters, but all them other dudes don't matter. This is one person that I really got my mind doing at the end of the day that I really want to fight when it comes down to. You be training all the time. You so eager to fight, but it's like every time a fight pop up, it disappear. Because, what happened with Frank Murray?  That is a straight, I never seen nobody more made than Frank Murray.  Like I done DMed this. Mind you, I would never had that thought if I didn't have a DM conversation with the, I talked to this on the DMs, I explained this man, look, this is how much money to fight this. We, me and you, you're not that big of a name, bro. You don't bring none to the table. I'm the name. So this, how much the fight is worth? This man sat there in the DMs, after I told him, I told him, look, I'm getting this much, you get this much. He tried to act like it wasn't 25%, but it is. He wanted, he wanted, he wanted 50-50. 50-50 or he's not fighting me. And it don't make sense, that don't make sense to me. Like why would I fight Frank Murray? He never won a title. He never been in a, he never even, he never done nothing in the sport of boxing. No, I like Frank Martin as a fighter.  He don't think that, he just scared. He's not going to fight unless it's, what a cash out number. Just like other fighters, Lemitchenko was offered the most money in his career to fight me. Why not fight me? The most, your older is the end of your career. Why not take the most money in your career to fight? In one of the biggest fights in boxing, why not? Is the purse dispute the new duck? Yes. That's the new form of ducking? Yes, because... I asked for something that you know you're not, that you know you're not even on a level of getting, that's just the new way of saying I don't want to fight you. I mean, honestly, you got to understand, like with Frank Martin, let me explain this too, cause I forgot to say this.  His highest payday was $250,000. We offered him a million dollars, $250,000 four times. That mean we also quadrupled more than he ever made in his entire career. This man agreed, and I don't know if it was him who agreed, I think it was his team. His team agreed to the fight and then pulled out the fight. How's that not a duck? That mean you're scared for your life, bro. But would it be better for him not to fight you? Keep fighting dudes that don't even love him. Get his jacket beefed up more and still get the money without taking the L and taking the million dollars. Because guess what? He's going to go fight. No, I disagree with that. Cause his next fight, he's going to go fight. Somebody probably never heard of and made another $250,000 or 275 when he could have been fighting me. But truthfully, when it really come down to it, I think fighters just don't believe in themselves. Fighters don't believe in, cause I'm. I mean, the only reason why, cause I heard Frank say that, he want to fight you. But he don't believe in this. But no, I'm saying before, even y'all was even talking about. And he spoke on my situation. Yeah. That man spoke on my situation with me and Devon trying to chime in on his thoughts on the situation. He don't know nothing about.  I'm going to say this. He said something right. Fighters don't believe in themselves because them 31 fights that I lost, I always believed that I could win. I believe that I could win. You couldn't. It wasn't about that. It's about belief. He said something very important. No, no, no. Right, right. You got knocked out. I thought obviously I just needed that one win. But I beat the first seven 31 I lost. But my whole thing is like this though. It's like, he said something very important. They know, people be knowing what time it is. You know what I'm saying? And let me say this. They don't believe in this. That's why, that's why you got to respect somebody like Errol Spence. Exactly.  Just keeping it real. He was not stopping. And he was not stopping. He gave it anything he got and then he activated his rematch clause. Because he's a dog. You got to respect a dog like that. You got to be like, dog salute.  You really broke. And boxing, bro. The worst thing you could do in boxing, bro. Is go out on your stool. I don't want to fight no more. That's like the ultimate. Not him. He didn't do that. You feel what I'm saying? Like even when the ref was like, Errol was like, like, what you mean? You're like, good dog is over, bro. He had a better night than you tonight. So you can't, you can't. You got to respect Shakur. Because don't call tank out. And he's just trying to get a payday. Know they going to sleep. He really think he going to win. It's a difference. You got to respect boots.  But boots would take that fight at the drop of a dime. Like, let's go.  Facts, facts. You got me. Facts. You feel what I'm saying? And that's really what sports is about. The best playing the best. The best fighting the best. The best against the best. And then at the end of the day, we might talk. We might him and tank. They go back and forth. They had a dispute.  Because it's a sign of respect. Like, no, we got a hand. You a dog. You a dog. So at the end of the day, man, this is about selling fights and making money. That's it. Why are you telling me this stage? Y'all got to capitalize to make the most money in your life that y'all can possibly make, man. But it's hard to do that when everybody is scared. This episode of $1 million worth of game is brought to you by Shopify. Abandoned carts, rejected payments, spotty support. If you're selling online and something just isn't working, you deserve an upgrade. You deserve Shopify. Shopify is the commerce platform revolutionizing millions of business worldwide. Whether your garage, entrepreneur, or IPO ready, Shopify is the only tool you need to start, run, and grow your business without the struggle. Shopify puts you in control of every sale channel. So whether you're selling satin sheets from Shopify's in-person POS system, or offering organic olive oil on Shopify's all-in-one e-commerce platform, you're covered. And once you reach your audience, Shopify has the internet's best converting checkout to help you turn them from browsers to buyers. And one thing about Shopify, Nauwalo used to sell all his books and all of his, I think believe, merch.  He used to show me them numbers and he was great. Shopify is a war-winning, here to help you support your success every step of the way. So sign up for $1 per month trial period at Shopify.com slash million, all lowercase. Once again, go to Shopify.com slash million and take your business to the next level today. Shopify. Like, I feel like the only way somebody gonna fight me if I go have a battle for me.  And it's not happening. Hey.  Facts. Because let's be for real, what fight was it?  Cause that was like one of the first things you've seen that he didn't ice, he didn't, so he was like, hold. So that's how it would go. You go in there, you have a little dev going there. He get rocked with one punch by Lenaris and do a little walk over to the corner, get it together. He cool the rest of the fight. But they still looking at that, I got a shot at him. Boots going there. He fight that ran for 12 round streak. Now I'm talking about nice. That's different though. This was in the best shape of his life. That's different though. You feel what I'm saying?  Nah, but people still knew Boots was a. Dangerous. Yeah, but still the media still talking all. For sure. He didn't put on a performance bro. I just for the. That's the life we live. Another professional grown man that didn't throw no punches, didn't give me no opportunities for counter punches. And all he did was run from side to side. Did he get in there with Vila? I'm gonna say this. Oh, but hold on. Well, let me say this. We was in the back when it was over. This boy Vila, he's a different type of monster. He wasn't taking the wheel. He just was on some, he was a savage man. Seeing that fight and seeing how he just kept going, kept going. And that's a perfect example of somebody who got in the ring and lost. And lost. And I left that arena. He put it on the line. And you respect that. I left that arena with. I left a lot of respect of Vila fan. Yeah. Like that is a gangster. Facts. He took a hellish swiping and did not full, did not give up, did not quit. And kept trying. I left the arena with more respect for the dude. So, okay. That's why I respect Earl so much. I think Earl. Earl's a monster. He's a legend. He's a monster. People gotta give Earl's face his respect because Earl's face is a legend. We're absolutely. It comes second to none. Right. Nobody has that mentality he got. Nobody. And I'm gonna say this too. Let's give Terrence Crawford his flowers because everything he said he was gonna do. He done it. He did it. But the greatest. He done it. My eyes. And he was confident on the calm. Even when he came to our show. Well, he definitely wanted the greatest just in that. His accolades alone.  And what? Like what? What he used to don't know. He is a two-time undisputed champion. Floyd wasn't a one-time undisputed champion. So he has all the belts in one division and then moved up and got all the belts in another division. I don't know if that's ever happened in the history of boxing. Yes, and he beat the man. And he beat the man to do it. Earl was the man. Earl was the top dog. Earl had the three belts. He had the WBO. You feel what I'm saying? So if it comes that, so if Earl, so if Tarence Crawford fight 10 more times and he go 50 and no, and two-time undisputed champion and a champion three-weight division champion because he had a belt at 135. Is he the greatest fighter of all time? I mean, yeah. I would say, in my eyes, yeah. Listen, what if Tarence Crawford don't go 50 and no? What if he go 44 and no? But he go 44 and no. Okay, Floyd, you got six more fights. You said Floyd is the best fighter in yards. Floyd, you got six more fights than me, but I got 10 more belts than you. I mean, like I said with Bud, I think when it comes to Bud, I think a lot of people took credit away from a lot of his wins. Like I feel like when they kept throwing it out there that he didn't fight nobody. Well, he did. I disagree with that. I disagree with that. Why do people hope? Why do people say that? That logic is terrible. Anybody you get in a ring with is a chance you can lose. He didn't fight nobody that was on that level. That's what we're saying. No, bro. If you get in a ring with a C-plus fighter and if he clipped you good enough, you can go to sleep. So he forced somebody, but come on, bro. I think he fought people. Julius and Don go. We can, that's the, you named the worst person on the resume. Victor Postal. That's a bad, own name. That ain't a good, that ain't it. During that time. In order to say. I'm saying during that time, when he fought him. He was over height. He was over height? What? Victor Postal was like this.  Yeah, I'm a boxer too. Victor Postal was like this. A lot of people couldn't deal with that. A lot of people can't deal with that style. A lot of people can't deal with that style. You can't deal with that. A lot of people can't deal with that boxer style. He's jumping up in the air. He's a boxer. I know how to use his range and his distance. A lot of people can't deal with that style. But okay, in order for me, this how I look at it. In order for me to say, you know, you beat top tier, you gotta say, okay, well what did they do in the sport? No, no, you can't, because let me tell you what the problem is. Now this way everything's getting messed up. Hold on, hold on. This way everything gets messed up. When after somebody fights Bud Crawford, the fight is not the same. So you can't judge what they done after they fought. Bud Crawford, because he done messed them up. Mentally, physically. Well maybe you know more than me on that tip. That's all I'm trying to tell you. So you saying Earl Spence not gonna be the same in his next fight? I'm not disrespecting Earl like that. I'm just saying far as in the past history, that I done seen fighters. Well, he just fought Bud though. He just fought Bud. You say anybody to fight Bud. You just say anybody to fight Bud.  Hey look. You told me to ask you to bridge. Earl is my brother. So I'm not. That's my brother too. You feel me? I'm sticking that way. But I just feel like anybody that fought Terrence Crawford, after they fight him they're not the same fighter. Terrence vs. Floyd and he proud.  I can't give you an answer. What you mean? You gotta give me an answer. I can't. You posed to give you an answer. Now this is what I say. This is what I say. Hold on, hold on, hold on, hold on.  He couldn't go in there and have a all out war. Because remember, pretty boy was when he fought the markets chop, chop, quarterly. He went in there, he pressed chop, chop out, but he kind of got hurt. Well all these, I love Floyd, you know I love you. My guy. But, Bud, I don't think like at that point in time, pretty boy could have gotten a ring with Bud because Bud was real strong. Now Money May, like his intelligence and the smartness that he had and the boxer that he was, I think that that would have been a hard fight for Bud to be in front of. So it would have been like a, it's a 50-50 fight for me. Now I think that's a 50-50 fight. If they gave you 500,000, they said you got to bet it the day to all the fight. I can't bet it. And they would say they proud. But they gave it to you, they said you got to bet it. I couldn't bet it. This ain't even your money. I couldn't bet it. And listen, if Bud is plus money, plus 165. I got you, I got you know what? I'm gonna bet on the draw. Oh man. I'm bet on the draw. Because you serious. Man. Bet on the draw. That is hard to pick with somebody so intelligent. And then you got somebody like Bud that's a great boxer but he got power and both hands could switch. And he's a southpaw. But Floyd is the smartest fighter that I've probably ever seen in the history of boxing. It's hard to get you a real answer. But you know they say, they know that, you know they say at the age you are now, right? They say, well Floyd, maybe it was that age he got hit with 8% of the punches thrown at him. Yeah. They say you get hit with 4% of the punches thrown at you.  I got great defense. You know I was watching one fight you ain't get hit with a jab until a six round. For real? I believe it. Like I said, I got great defense. What fight was that?  I got great defense. That's something that I like. I grew up, like with my grandfather he always taught me the art of boxing is to hit and not get hit. Swimming don't get wet baby. Exactly. Yeah. The way that I was brought up, I always knew like, okay, I want to be able to hit a fighter and not let them hit me back. And I trained myself every day out to make sure that's how my style was. And I know if I'm doing that, I'm the best fighter in the world. This episode of me and I was worth a game is brought to you by Street Talk. Are you paying too much for your wireless plan? Are you? Street Talk just introduced a new Street Talk multi-plan where more lines mean more savings. Just $25 a line with unlimited data, talk and text on nationwide 5G. So that's $25 a line. So that mean if you got four people in the house, everybody in the house could get phones for $100 a month. Unlimited, 5G. I mean, what are we talking about?  Ain't no stopping because it's unlimited on this for $25. Plus no contracts, no hidden fees, no compromise. That's the Street Talk talking from Street Talk Wireless available at Walmart and Walmart.com. So when you're on Walmart, you paying these high fees, paying all these extra fees on these phone bills, you got eight people in the house, everybody got a phone for 200,000 a month. Talk to me. No, Street Talking is talking to you. Holley at Walmart and Walmart.com. So you could be street talking. Right. This episode of $1,000 Where Every Game is brought to you by Omega Accounting Solutions. Attention, small business within, I'm talking about five to 5,000 employees. All you small businesses, you are responsible business owners who have continued to pay taxes and employee staff during the pandemic. Omega Accounting Solutions is a small business champion. I'm talking about the other champion. They call it a safety day. In your business, get back the money you deserve through the CARE Act. How much, how much they give back? They get up to 26,000 per employee. So if you have five employees, up to 5,000 employees, when you sign up for this. 26,000 per. You get 26,000 per employee. Recover the payroll taxes you overpaid as a refund, up to $26,000 per employee, even if you got the PPP Learn. 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He came in New York. He called me out. He came to Newark, New Jersey, didn't he? He slid up on it. He slid up on New York. He slid up on New York. He slid up on New York. He slid up on New York. He slid up on New York. He slid up on New York. He ain't looking for you. He ain't looking for you. Yeah, he was, he was, but look. He not so gangster because he was downtown. Oh, he was. He was downtown. Come on, man. Oh, damn. He was down by the gallery. He was downtown. It's a video about a city hall. He was right there by the convention. He wasn't doing anything. But look. He called me out. I answered the phone call. Frank pulled out next on Best Available opponent. It's Edwin De La Santos. He's a fighter with big power. He's strong. He's a South Park. Did he fight anybody?  See, that's what I'm saying. They always, y'all, say that nobody fought. What's his record? He's, uh, no, no. He's 16-1. 16-1. But I'm going to tell you now, go watch him before y'all judge. No, you're not judging him? No, listen, no. He's a real, he's really, he's a solid fighter. Strong power. The man that can't got good boxing skills, good reflexes, but he's not going to be able to beat me. Man, what's going on with you and Bill Haney, man? Man, Bill put, I don't know.  Did you hear him, though? Did you hear every word that he said? Yes. OK, so if you heard every word that he said, why do he get sent every interview speaking?  All you hear Bill talk about is your core. Why do he talk about me so much? Why, why is he so interested in me? Well, Bill might know the big money fighters you and Devon in a couple years. Man, Bill is cow. Bill know that I smoke Devon, and we're going to be real about the entire city. He know that I smoke Devon, but he got to do what he got to do for his son. So you got to respect him. But Bill is a. He's a. That's why he tried to put that little video out of. Right. That was my next trick. I know that. I know who's coming next. Gilly, I know. You put the video out of the sparring, and I say what I say, right? But look, did y'all watch my face? Did y'all see what was going on on my face? I was smiling at him, right? I was smacking. Why was I smiling? Was you really tired? If I was tired. I'm just asking you, because you said it. If you say it, I'm tired.  You're just hot in there. Answer the question, though. Go ahead.  I know you've been in a boxing gym. You done seen some. They be dead. They dead tired. Sometimes people smile when they're nervous. Sometimes people smile when they're nervous. You know how you laugh in the dentist? You be in their head. Nervous? Why? Like, what's going on?  I'm just saying, look. Me and this man, Spard, I want to say three times that week. I want to say that was the last day. I just did eight rounds with him. I've been doing, I done done 10 rounds, eight rounds, however many rounds he won it all week. I got off on him, beat him up again.  Tell them to post the actual video on the sparring. They got the video. They recorded that video. Tell them to post the sparring, and y'all see what happened in the sparring. Post every round. Every round, then see what they say. See what the world think. Was I tired or? I've been in the gym a lot of times with. Playing around with that man. Prime example, when Tim got out on Terrence. Terrence all up in the gym. Terrence, let's go some more rounds. Tim's like, no, dog, I'm good. So I just did what you're saying from that side of things, because I have been in the gym. I don't know if that's what happened, but I have been in the gym a lot of times where that happened. Well, I can get out on it, but still want to go some more rounds, like no, I'm through, dog, I'm done. I've been there before. You know what I'm saying? So that's what you're saying was the situation. What I'm saying is, I whooped this sparring spared him a billion times. It wasn't, I'm not, I'm not about to say what you want. Did he get off on you too? Have he ever? Is that the question? Yeah, have he ever had a day when y'all swarmed and he got off on you?  But let me ask you a question. I respect that, though. I'm gonna say this. Hold on, man. I respect that, man, because it don't cause nothing to keep it real. I know all the blogs gonna take this. They gonna remix it. They gonna try to, yeah. They gonna chop and screw it. Take that part. They gonna take the little small part. Yeah, he got out of, no. Keep, let it be known that he sat here and he kept it real. Yeah, we sparred a gig at a time. He probably at a time where he might've got the best of me that day, but, on the old, I got the best of him the most. Even though, no. Bill told y'all, listen to the video. He told y'all, he told y'all, you done always got in on Devin. What that mean? He told y'all. He let y'all, he let y'all know what happened. You know, I got love for both camps, man. And I just want y'all, when y'all do eventually fight, if it ever happened, I just want y'all to make the most money that it could possibly make. You know, because me personally, right now, I don't really believe it's the time for y'all to fight. I think it is. Because you just want some action, man. You ain't. Why you don't believe that? It's, hold on, hold on, hold on. I always want to say this. Because, because it's a business. All right, give me the game.  See it, like him and Givante, it is a perfect fight for right now.  He came in, he was up under Floyd, that's great marketing and promotion, and he ice. Yeah, he no joke.   So, okay, you got Shakur Stevenson, that's the boxing world. Everybody knew this. They knew this since he was a kid. You feel what I'm saying?  You don't know about him. So for him now to fight a star that go together, for Dev to be right here, and Shakur right here, and they like this, and you need somebody up here, you need somebody up here, because this is about numbers, bro. But can I tell you why I disagree with it? Bring it down. I disagree with it because, you never, this why Wilder and Joshua never really got to fight each other during the time that they were supposed to fight each other, right? You got one fighter in Dev and you got one fighter in me. Oh. This dude just came close to losing his last fight. How y'all know he's not gonna get close to it? How y'all know he's not gonna take an L? Then he takes the L, the fight goes down, right? So say he go fight Regis right now. Now, I don't know, I'm not saying that I think Regis gonna be him. I'm saying he go fight Regis right now, Regis beat him. What happens with me and Devon as a fight? Nobody wants to see it. But how many people, how many people going to tune into it for it right now? You know what I mean? When y'all got Uber talent, bro. But the first that we'll make now is it probably ain't as big as it could be, but it could go down if somebody take the L. But that's always the opportunity. That was always the opportunity with Bud and Arrow. You feel what I'm saying? One of them could have took a loss.  You feel what I'm saying? So that's the risk of it. But now when it, both bad motherf***ers. But listen, oh so you gonna throw that out there?   I'm just saying what I choose to feel, man. Dev not a bad motherf***er. He's a good fighter. How many tickets, how many pay-per-views get sold? You and him fight right now? How many pay-per-views? I mean, it's gonna be interesting because at the end of the day, Devon don't, I mean, I'll sell the sh** out of it. So it'll sell good. I'll sell the sh** out of it. How many pay-per-views? See, I think if, just think about this. I think if Terrence Crawford and Arrow spends this 600 and some thousand pay-per-views, just imagine if they ain't let it build up more and able to afford two years ago. Shit might have did 400,000 pay-per-views. But imagine one of them wasn't like that. That's all I'm trying to say. Imagine one fighter wasn't like that. They was like that, but Arrow helped it more with the pay-per-view. Imagine one fighter wasn't like that. Dev is, Dev-ho, you're trying to say, hold on, I'm lost right here. See, you looking at it from a boxing standpoint. Let me tell you something, let me say this. You looking at it from a boxing standpoint in a ring. I'm looking at it from a fan standpoint, from just a general boxing. No, no, you looking at it from a standpoint because you got a relationship with Devon. I got a relationship with you. Oh, yeah, yeah, yeah, it's love. No, no, no, no, no. I'm saying, like, let's speak boxing. Let's speak boxing, right? Lemonshanko wasn't the first skier that we seen with Devon. Who was the first skier? You, when you said it earlier, Lenorez, Lenorez. Oh, yeah. But no, he beat Lenorez. No, he did. He won Lenorez. Lenorez is a fight. Anybody could get clipped. Honestly, look, look. I think that was his best performance before he got clipped.  So you don't think you could get clipped? I can. I can't. I'm just saying, with him, I just felt like we done seen him in these skiers that it's getting closer and closer. And you know what problem is, too, though? I think that, and I told Dev, I told Dev this. I don't think it's a problem, but I said, in the Lemonshanko fight Dev, I said, I feel like. I think he slept on Lemonshanko. I said, I feel like you felt as though you was longer, you was younger, you was stronger, you was faster, and you fought most of the fight right here in the pocket, where you could have jab, jab, you take a step and I'll take a step back, jab to the stomach, jab, jab, you take a step and I, you could have made the fight a lot easier. But it ain't easy to do that with his skills that he got. It's not easy to do that against a Lemonshanko because Lemonshanko, he giving up ground, but he's not giving up ground. So he's forcing Dev into stand right there because if he move a little bit, you never know. Lemonshanko may gain confidence. Y'all never know. He talking some real life, because if he move to that little left. It's boxing, man. But we understand the boxing part. You see it from a different lens. I just watch boxing. I watch boxing all day, every day.  I'm really a real boxer. I'm not no person who I really like. I study boxing, I watch, I watch that fight a hundred times. I watch tears and earl a billion times. You said you was better than Terry. Yeah, in my opinion, I'm better than everybody. That's my opinion, I believe in myself. I'm confident in my abilities. And you just said, Terry and Scrawford was the best. Yes. As of right now, as far as accolades, and who was the number one pound for pound fighter in the world? Terry and Scrawford. Exactly. I would never take none away from my big brother. I love him. Oh, no, Tans Scrawford is a bad mother. I think Tans got about three more fights left, and he going to call it quits. Probably so. But if you ask me, who do I think is the best fighter in boxing, far as like... The world. I'm talking like, I think myself. That's how I truly believe in myself. Like, I don't... And you're not, and it's a beautiful thing because you're not just saying that because, no, that's what you're supposed to see. You're supposed to see, I'm the better. No, you really can't believe that. No, I believe in myself. Izzy, how do you feel about him? I feel as though he is definitely... You'll count me too. Top five pound for pound. Who's out of four? I think it's Tans Scrawford. I think, I'm not talking off that. Accolades. You feel what I'm saying?  If I look at... No, you're saying skills.  Canelo Alvarez was a motherfucking come in, hit you with the jab. He threw six punch combinations. Ba-boo-ba-ba-ba-ba-ba. Now Canelo Alvarez follow you around and go, ha, ha, ha, ha, ha, ha, ha. So he not looking like Canelo Alvarez to me. I'm just keeping it real, bro. You look at Canelo Alvarez at 154. You look at Canelo Alvarez at 160. You see him hitting Jocito Lopez and them niggas with combinations.  Ba-boo-ba-ba-ba-ba-ba-ba-ba-ba. You don't see that no more. You don't see that that you see him walk around and he try to hit you with bombs. The whole like, ha, ha, ha. So for me, right now I'm saying skill box. I want to hear it. I want to hear it. I'm saying bud. You know what you do see? Paper view box. Right. That's all that matters. You're right. But, but. I'm just saying, you got to make the money. I'm not, hey, I'll just keep it a hundred. I mean, well, Canelo for a fluid. But I'm just saying he got a whole country behind him. Right. He got, like, all people don't be supporting us like we should be supported. That's how I feel. You know? But like with them, like with the Mexicans and the Mexican culture, their entire country is going to get behind the Canelo Alvarez and everybody's coming to Canelo fights and. Yeah, it's going to be more Mexican. Just because it's, like he's a, he, they stick together. I just feel like they stick together. For me, I think his butt, I think his boots. I think his, uh, Shakur. I got to put any way in there because he beat my young boy, cool boy Steph. He's cool boys coming back. And I got to probably, I got to put David Benavidez in there, man. You don't want to fight him. They've been calling us up forever, man. Forever. How you feel about that file? Any disputes? Any disputes in that file? Talk about it. I don't, I don't care disputes. Oh my God, I got to put Devin in there. I'm, me, I, I look at Devin like he's skilled. That's all my skills, bro. Skills. He just beat Lominchenko. Whatever, look. And you watch the fight again and you double back and say, after I watch the fight, I see everything. What did I say? I just showed you in my phone when I go to my YouTube. Finish what I say. Finish what I say. What did he say? He might have pulled it off. No. What you say then? Yeah, yeah. There we go. I said I go to the draw. Or, yeah, I said I go to the draw. Or, or seven, five, Lominchenko. So at the end of the day, when you look back at it, it's like it was a little more competitive than what I thought. And then. Yeah, it was a little bit more, but I'm saying I wasn't giving him the fight. Okay. Cause when I judge, I judge off of like clean punches. But okay, let's just, this is like he lost the Lominchenko. Okay. Boxing don't understand that Lominchenko is a one of one. He's a duck. He is a, he ducked you, but as far as doing some that nobody's ever done before. Now he's a beast. He's a beast. He's a one of one. He's a beast. And one from the amateurs to the proves and said I'm going to sign with whoever get me a title fight, my first fight. They like, bro, that ain't never happened in the history of boxing. What are you talking about? Now, but Bob said, I can't get you a fight your first fight, but I could get you a fight against the number one contender. If you be him, then I'm going to get you a title fight in your second fight. As a pro, bro. He coming. He's the fastest. He's definitely one of the. He's the fastest three weight division champion in the history of boxing. He's the best amateur boxer ever in the history of life. He won two gold medals at the Olympics. We not talking about no regular person. But my question with you right now, when you first started sparring him, it was a very competitive. Yeah. It ain't competitive now. I was younger. I was younger. But you still was over talented. I was a beast. You wasn't, you wasn't younger. And he's like, you a young Floyd. You a young Ponell Whitaker. You a young, you a young spursing that special. Then when you got in the ring, 99% of the people you get in the ring with, they get made with. And it's a 1% that it's like, oh, this is a little good too. Like, let me hold. I gotta be on. He flew a punch. He said, hold on.  Hold up, wait, hold up, let me. So Lomintenko was one of them people, right? Yeah, but I'm saying with your list. Now, I like your list. I ain't going away from your list. But I just feel like you, it's one fight that you also didn't say. I think it should have been. Well, if it was my list, I oughta put a tank on it. Oh yeah. How you feel? I'm tripping. I'm tripping. Cause you got skills. I'm tripping. Let me do my list over. Now you can't redo the list now. I gotta do my list over. I was sitting here doing it off the fly. I gotta put tank in there for sure. I gotta put bud in there. David Benavidez is like. I gotta put. It's there. So I like it. No, I gotta put. Of course I gotta put Inuit in there. Shikor in there. And the fifth one gotta be, I gotta put Devin in there, man. Damn. I got Devin accomplished more than Benavidez. Yeah, okay. He did though. In boxing, I'm saying. But we're talking about you. Oh, you can't, cause now you contradicted your list though. You said you wasn't talking about accomplishment. You said you put my skills. Right. That's why I said you contradicted your list. I'm trying to say skills. Everything got on skills? No, I'm saying if I go for skill, for skill, Devin and Benavidez, I feel like they both right here. So then the, the, the, the, what, the, what? That way. You still got tank. Tank, tank. I gotta go with tank five. That's what I was saying. You told my skills. No, I said tank first. I said tank, but. Inuit and me. You, and then I said David Benavidez. Okay. But then still it's kind of hard because still, I would still give it the arrow because only one person beat Arrow. You feel what I'm saying? So it could go up and it could, it could fluctuate. You feel what I'm saying? Like, you know what I'm saying? Yeah. But I think, you know, I, that, that's, that's my guys. Devin, Arrow, Benavidez, any of them could go in there. You got butt in there, right? Yeah, yeah, yeah. For sure. What was the number one fight in the world? For sure. Ain't no if ands and buts. You know what I mean? I'm just gonna let my man Boots prove a little bit more. Now Boots are bad motherf***er. Boots are my, I came up like, me who came up in there with just that. And Boots are f***ing at me. He a bad motherf***er. I know Bootsy, Bootsy and Boots got a lot of love for you two. I got a lot of love for them too. You know what I mean? They always talk highly about you. You know what I mean? So, but listen man, we out here in Colorado Springs. We had to put the pads on. We had to pull up on you. You know what? You've been in the news heavily. Heavy. That's cause, that's cause man, listen here.  Nah, I'm not fed up. It just, I would just speak my mind. I don't mind like speaking my mind. Just like what y'all don't mind like speaking what I truly believe. A lot of people try to twist and turn everything that I'm saying into something else but it's kept. If you ask me a question, I'm gonna answer. If you ask me a question, I'm gonna answer the question. But if I answer the question, they gonna turn what I say into something else. But I mean, it's the life for me. I think too. I think I felt like when I was looking in your eyes earlier in the video, I seen a frustration. Like somewhat a frustration or just like these really don't wanna fight me. Yeah. You know what I mean? Well, always remember bro, things happen when God wanted to have it. You know what I mean? So just stay the course.  Certain mothers, I ain't gotta call it. Never give them no work hard speeches.  What was you doing over there speech? Nah, yeah, I appreciate you. You feel what I'm saying? But I ain't never gotta call and say you ain't working? I know I ain't never gotta call boots and worry about that. Yeah.  They live each. Boxing. Boxing. That's what they do.  He said it probably happened what? The biggest for you. Oh, trust me.  You know what I mean? Yeah, yeah. I see what's going on. And here's my, I know where frustration come in there because in your mind, I'm the best fighter on planet earth. Facts. And I'm seeing other fighters get accolades. Exactly.  Nah, it's, my frustration. You beat me, I'm that. My frustration is I just wanted to be, I just wanted to get an opportunity to prove myself. Right. Because a lot of people, because honestly I put a lot of pressure on myself. When I say it, I talk to y'all or I talk to somebody else and I say what I feel, I put pressure on myself cause I like the pressure. But it's not really pressure cause you believe it. It's pressure, but I like it. I like putting myself in pressure situations. That makes me like, I'm the type of person I'm going rise to the occasion. But, like I said, it's just very frustrating when you got a bunch of fighters that pump fake or perpetrate like they want to fight, but they don't really want to fight. I would rather or respected more fighters just say like, I don't want to fight or just ignore it out of me. Ignore me, don't say nothing, keep it moving, go about your business.  He was with you 26 now, 27? Yeah, 26. 26, yeah. So, let's write about the time for you to have all major fights. 28, I'm going to have the biggest fight. 27, man. 27, 28, I'm the biggest fight going to happen. For the future. Speaking into existence. I know. You know what I mean? Yup. That's what you got to do. If you, at the end of the day is like this, us seasoned fighters, you know. What? What? I got Cuzz. Black belt. I got 38 fights. Black belt. You're still a seasoned fighter even if you win 31. If you lose 31 out of the 38, you're still a seasoned fighter. Come on, girl. Who keep getting in the ring like that?  Most dudes with a, yeah. A sparring partner. Most dudes with a gave up. Listen, he knows sparring partners that got the a** with 4,000 camps. He knows sparring partners with records like mine. Listen, he, he does that sparring partners that got the a** with 4,000 camps. They still sure for that money. They should have been, they going for it. Hell nah, nah. So, maybe a lot of sparring partners, hell nah. If you looking like this, they still. And you got to understand this, though. Most of my losses, that I wouldn't even qualify them as losses, is like 75% of them my trainer through the talent. So it wasn't like it was a loss. Did you just get your a**? No, no, they, I felt like, listen. No, no. You any fire him? I felt like.  I felt like. What he did what he was supposed to do? He did what he, he was doing what he was supposed to do. No, I'm just saying they through the talent. I ain't know what was going like. Why would you do that, man? He did what he was supposed to do. So wait, did you fire him? No, it was multiple trainers that done that. Oh, it was. It wasn't just like him, you know, the one board that started. Let me, everybody telling you it's time to retire, man. Man, I don't need that type of trainer. That's what I'm trying to find. That's what they mean when they throw the talent. Nah, if you got 30 different trainers. They throw the talent. No, it was like. Okay, so let me ask you a question. So if a fighter get a towel, throwing in on him in three fights, is this time to throw the talent? No, we got to keep going, cause you might, it might be that one fight that'll change anything. When the trainer throw the talent.  Like, so if the trainer had to throw the talent three different occasions, you just retire time. But they don't mean, they don't mean you can't fight. I had kept going, man. That mean you can't fight, brother. I had to keep going. Like it's like. Your record means you can't fight. You shouldn't even be telling them about your record, man. Right. 7 and 31. No, no, no, I was in the game. I was in it.  Listen, think about this. Think about this. You know how many dudes say, yeah, I'm a real one from the streets. They never made no money in the streets for 15 years. They never won. They never got no trophies. They lost every year. Every season of the streets they lost. But they still qualify to the street, dude, right? No. No. Hustler or whatever, right? It was just the failure.  What, they was decorating the scenery there? You think I was. You failed, man. You failed. I'm a part of the boxing industry. And all of them was amateur fights. You better talk about that Taekwondo. No, no, I got 13 black belts in that. That's why I switched sports. Hey, besides your biscuit. That's what you be doing, that's what you be doing. Yeah, that's called low-quantum. That weird one. That's what I created my own stuff.  Oh, he talking about my beef ribs. He talking about beef ribs. I'm gonna show you. I sure ain't that joint. That's when he come. Huh, huh, huh. He ain't never showed you beef ribs. I'm gonna show you. Hell, no, I don't even need to see it. Oh, you gotta add that to yours. Because you know what I learned about a lot of your boxes? Y'all be thinking y'all slick too. See, I told you about this. I said, we watching the fight. I said, you know what I realized? All that stuff they doing training. A lot of that stuff go out the window. They just be making everything, they be in the ring. A lot of stuff that you doing training. You be doing all these techniques.  Y'all get in the ring. Something go wrong.  Because you know how I know that? I be listening to the trainers. That ain't what I told you. Stick to the plan. Why you gotta sell that? Why you gotta sell that if you stick it to the plan?  And listen, I'm like, we just have to find my own. You see that? You hear that? You ain't sticking to the plan. If the trainer man, he's doing some new stuff.  I don't mean that though. I don't mean that. Because my grandfather be getting mad at me. I'll be whooping. And Bozy be getting mad at Bozy. Yeah, Bozy, y'all. That's how I know Bozy. That's ain't Bozy being gonna do some free stuff.  Bozy's like, move your damn head, man, do it. What's your father be saying though? Bozy and my grandfather, they hell of a trainer, man. Yeah, but what's your grandfather be saying though? What he get mad at you? Me and him go right about it. You ain't listen crazy. You told me he wasn't listening one time.  Man, I ain't, I can't even put it out there. That's crazy. I'm talking about during the fight, like. During the fight?  I got one for you, I promise you. When I fought Jamel, you watched that fight, right? Jamel here, yeah. I swear to God, I came back to the corner. This man told me, he said, you lay him back in the fight.   But, but, but you got it right.  But, but, I think that should kind of help me because when he said that it automatically clicked, like, okay, now let me turn it back up. Even though I was turning it up, man, I gotta turn it up. I turned it up even more, man. So it kind of helped me. So I'm not going to fight the crazy though. Yeah, yeah, yeah. So he had to check. I started looking outside the room. He was, he was like, jam, jam. He said after the fight, he knew we used to go get pop up in high school. Pop up in high school. We used to go get pop up in high school. I hit Jamel with a 20 piece. I come back to the corner each other. You let him get back in the fight. That's why I'm going to get pop up. That was in the plan. He was supposed to be knocked out by them. So that's, let me know he did some free styling. I think like the best trainers, like my grandfather and Bozy, especially like when they know like they're, they're a fighter. Like I feel like they, even when you're doing your best, they still want better. Like they still pushing you for even better. So I feel like even when I hear Bozy at the booths come to the corner. Bro, you couldn't look no better than Jamel here in fight. You probably right. But they still want more. Of how? Like that's a great trainer.  It's like, it's like. A great trainer. I think a great trainer don't put no limitations on their fighters. So even at your best, it's still more. It's always something better that you could do. So I just feel like with my grandfather and like Bozy, I think that don't honestly from what I see, them two of the best trainers in boxing and Bob Mack, and Bob Mack, and Bob Mack. How many times I told you that? I say that. How many times I told you the whole city of Philadelphia you do one motherfucking thing. You want some real work, nigga? Go over top of that. But you gotta understand back in the day, see back in the day, see you young back in the day my teacher karate arrow and Bozy. Oh man, come on man. Now you already know, you already know Bozy, karate arrow and Bozy. He told you that. Listen man, we here in California. It started from our shorts. It started from our shorts, didn't with the box. Come on man. He had to get a lot of things off his chest, man. We here. Now we're gonna get a lot of things, show him a couple moves. And we just had to come, show him some love because that's what we do. You know what I mean? We here to amplify, you know what I mean? Attain you a while or a sparring session too. I'm not, whoa, whoa, whoa, I don't know. I can't tell y'all they like that. I'm still amateur. I know it's a new who, new who. I'm an amateur, I'm a sport amateur. I sport professionals who mix martial arts, but not in boxing.  No, no, no. He's a bitch, that's it. But I'm new with amateurs. We appreciate y'all for tuning in. Make sure y'all like, comment and subscribe. Me, me, me, me, me. You know what? I'm coming with my what's name. Anybody wanna fight out there? Listen, I'm ready to start my own boxing. I'm a trainer slash promoter.  That's your bitch, and it's just like that. Right.


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So, let us now start on with constraint optimization, algorithms for constraint optimization, constraint optimization algorithms. Now, there are the constraint optimization methods for constraint optimization are again extremely varied and there are many different types of methods out there. But the simplest I will let us start with the simplest method which basically attempts to convert a constraint optimization problem into an unconstrained one. It is a very elegant and nice method and so let us just see what this idea here is. So, this is what is called a penalty method. So, in a constraint optimization problem what we are faced with is a problem like this you want to minimize a function f subject over a set s. Now, what a penalty method does is it says it looks for a function p. So, introduces a function p introduce a function p such that the following holds first p is continuous p is non-negative for all x and 3. So, p is a function now from R n to R. So, it is defined on the entire space. So, it is continuous it is greater than equal to 0 and it is 0 if and only if it is 0 if and so p of x is equal to 0 if and only if x is in s. So, when you are in the set it is in the when you satisfy the constraints or you are in the feasible region then p is 0 and everywhere else it is positive. But unlike the kind of function that we had seen in when we were talking of duality where we had defined this sort of if you recall we had defined these i 0 and i plus functions which went from 0 to infinity outside the feasible region these the function p is a continuous function. So, it is not just it is not it is not that it is not it is not an ill behaved function. So, it is a continuous function it has it is 0 on the feasible region and outside it is positive. But because it is continuous it will bring with it a little bit of baggage means that it is you cannot it is not going to be an exact it is not going to give you an exact to be formulation of the constraint optimization you would need to do a little bit more work in order to solve the constraint optimization problem using the penalty function ok. So, first let us look at a few examples of this sort of function. So, let us say suppose my constraint s right here examples. So, suppose my constraint s is just x or my feasible region s is just x z h of x is is equal to 0 right. So, it is some some one or more in equality constraints. So, in that case what is the correct penalty function for this sort of set one can take for instance p of x as simply norm h of x. Now, what does or norm h of x squared if necessary. So, why why can we do this the reason we can do this is that you can see that h of x is equal to 0 if and only if norm x is equal to 0. So, so property p holds for free. So, p of x is 0 only on this on the set s everywhere it is obviously greater than equal to 0 and if your h is continuous p is continuous right h is if h is continuous p is continuous right. So, so as a consequence we get that. So, let me write this here. So, where where h is continuous. So, if p h is. So, if h is continuous p is continuous on. So, therefore this is now a penalty function. So, how can one do this for an inequality function inequality constraint. So, another example would be say s which is x such that g of x is less than equal to 0 what what would be what would be an appropriate penalty function for this well one can do take for example p as as the maximum of 0, g of x. So, what does this do. So, this this is a max of if and g again is continuous and what does this this p of x do the p of x is the maximum of 0 and g of x. So, when so it is a maximum of 2 continuous functions one is just a constant function see it is a maximum of 2 continuous functions. So, it is also a continuous function. So, it so it satisfies 1 it is a max it is a maximum of 0 and something. So, it is always greater than equal to 0. So, it satisfies 2 and when is this equal to 0 well this would be equal to 0 only when g x is itself less than equal to 0. So, when this is less than equal to if so p of x is equal to 0 if and only if g of x is itself less than equal to 0. So, consequently it satisfies 3 also. So, this gives us another penalty function another kind of penalty function. Now obviously, this is not as nice as this function because it is it is it is it is non-differentiable, but so you can you can even do a little you can make this a little smoother. For example, you can also do this the whole squared and that will that will ensure that the derivative that that will give you a little bit more differentiability also at at the at points where p of x is equal to 0 alright. So, what is the method now what is the penalty method the method itself is this. So, what does one do you you define. So, so define this this this function q the function q of x given ck I will explain what this is. So, this is let us say x given c. So, this is defined as f of x plus c times p of x. So, you have your original function plus c times the penalty function. Where what is c? c is any constant, c greater than 0 is a constant. So, for a given c you will define this sort of function. So, what has this done it has defined it has given you a new objective it has given you a new function where where you have the original function plus a constant times penalty. Now, when you are on the in the feasible region the penalty function by by property 3 the penalty function should be 0. So, in that case therefore, the q is actually identical to f. So, in the feasible region minimizing q is actually the same as minimizing f. But then what we will be doing is not we are not going to put constraints anymore. The whole idea of penalty method was to convert the to convert a constraint problem to an unconstrained problem. So, what the method would do is it would do the following it would so, so take it will take an increasing sequence ck going to plus infinity. So, it has an increasing sequence of constraints ck going to plus infinity and by increasing I mean ck plus 1 has to be greater than equal to ck. So, this is a sequence like this where it goes to plus infinity. And then what does one do at each step for each k solve minimize q of x given ck over x in Rn. So, what are we doing at each step at each step you take your constant and minimize and minimize q of x given ck.  So, whenever what this tends to do is that whenever the ck is becoming extremely large if your x goes into the region where p is not 0 that means where p is positive that is the region outside your feasible region it tends to blow up the value of c times p.  So, when you are minimizing q here when you are minimizing q the better value for x can be found where in the region where p is actually 0. That means in the region s itself. So, what it does is as k becomes larger your the minimization tends to gravitate more and more towards this minimization this unconstrained minimization in effect tends to gravitate more and more towards the feasible region s. And it starts producing looking for iterations in looking for solutions in the region s itself although you have not actually imposed them as constraints though you have not imposed them as constraints it sort of implicitly looks for those for solutions in that region because outside that region the objective value itself becomes very large. So, the iteration will tend to look for those solutions there. So, the result that we have for this is let me state it as a theorem. So, let xk so this suppose the generated here is xk. So, let xk be generated by the penalty method above then any limit point x of the sequence xk is a solution of the minimization of f over x in s. So, what does this mean? So, you keep doing this for over k and keep increasing it increasing your ck eventually you get a sequence the sequence will gravitate towards the towards even if it has a limit point it will that limit point will be a solution of this particular problem. Now, the thing that you that is interesting here is that when you are solving this problem for when you are minimizing sorry when you are solving this particular problem you are minimizing f plus something else over this entire region. So, what you actually end up doing which is somewhat counterintuitive may seem counterintuitive is that you end up approximating f from below. So, your objective value actually increases to the optimal solution rather than decreasing to the optimal solution which is what you would otherwise do in an optimization problem and that happens because of the because you are penalizing the constraints and then it is the nature of the penalty function that creates this effect. So, with this actually let me also mention to you that there is an slightly related type of method which is called a barrier method a barrier method only what it does is instead of instead of penalizing the entire constraint it tends to penalize the approach towards the boundary. So, as you go towards the boundary the barrier function blows up and so it tends to keep you within the constraint. So, in a penalty method you are you are searching all over the space in the entire space Rn without going out of the without imposing the constraint and then eventually you end up inside the constraint whereas in a barrier method you do not impose the constraint but you impose you penalize movement towards the barrier towards the boundary of the constraint. So, that gives you a different type of method. So, with this I think I will end today's lecture we can then we will continue on with more optimization algorithm in the next lecture.