Hey survivors and frivers, in this video I'm going to be explaining Gangstalking and discussing the footage from the last two videos. I have updated the video descriptions on both videos where I have clearly described what to look for so please check that out. Please like, comment, share and subscribe. If you would like to donate, my paypal link is in the video description. If you are interested in one-on-one coaching, you can email me at narxfivercoaching at gmail.com Understanding Gangstalking I have been reading through the comments from the Gangstalking footage of the last two videos. Some of you can see what is going on. You can see that this is about extreme control, intimidation and isolation. Others do not see what is happening. Some viewers have commented that there is no Gangstalking in these videos and that I'm paranoid. These comments were very invalidating but I can understand that some of you do not see what I see. The reason for this is because the Gangstalking is designed to affect me, not you. I am the target. You are an outside observer so you may not see it the way that I do. Some of the comments were quite offensive. With some viewers saying that I need meds or I am overworked I need to take a week off. I think there may be some confusion here. This is not something I am only experiencing recently. I have experienced Gangstalking 24 hours a day for over 4.5 years. This is nothing new. Everyone in my environment is a Gangstalker. If there is someone who is not aware of the Gangstalking they will be contacted and then they will know about it. So everyone you see in those two videos are Gangstalkers. They are following me, they are watching me and they are harassing me in various different ways. It started off in the workplace around 4.5 years ago. The coworkers there were always watching me and indirectly talking about me. There was one woman who was clearly very bitter and resentful towards me. At the same time it seemed as though she was trying to prove herself to me. She said something about seeing what she looks like when she goes out at night. As though she could tell that I was not physically attracted to her in work. She later made hints about a dance class and how she would start talking about me there. From that point on I noticed people would start following me around. People who I didn't even know. I believed that they were envious of me. I come from a wealthy family and I was living in a big house at the time. I had a Facebook page with 5,000 friends and over 10,000 followers. Some of my friends convinced me to post pictures of the house and my father's cars. I also took topless pictures of myself. I was young and didn't really know what I was doing. Who would have thought that all of this Gangstalking would come from that? The coworkers were fully aware of the Facebook page and had likely seen all of the pictures. The topless pictures of me had thousands of likes from women in the area. So from an outsider's point of view, looking at that Facebook page, it would appear as though I had it all. Big house, cars, beautiful women, I was living the dream. Of course, that was far from the truth. In reality, I was severely depressed, drinking alcohol several nights a week and even doing drugs. But to anyone that saw that page, it looked like I was living a good life. And this made everyone in my area very envious of me and it got a lot worse once that coworker decided to create a smear campaign while I was in a relationship with the ex-narcist. These gangstalkers would follow us around everywhere on bicycles. I remember one time we were sitting on a bench on the beach and she saw them and quietly she said they're crazy. I was happy that she could see what I was seeing but at the same time I knew that she would never openly discuss this. She revealed a lot of information to me regarding the gangstalkers. She claimed to have an app on her phone which gave her access to me at all times. She claimed that there are surveillance cameras in every room of my apartment. I was living in a different apartment back then, that was over 3 years ago. I now know that this is completely true and even in the apartment I am living now there are surveillance cameras in every room. The gangstalkers observe and study me 24 hours a day and have done so for over 4 and a half years. As well as this they are also tracking the GPS on my phone so they can follow me around wherever I go then everyone in the area can be notified. This is a full time hobby for them and something that they have been engaging in for over 4 and a half years so it has probably become an addiction. I also experienced noise campaigns for over 3 years there has been constant loud banging on the floor in the apartment above. Even as I am recording my videos the banging is directly above my head. It follows me around the apartment whatever room I am in which proves that the gangstalker in the apartment above also has access to the surveillance cameras. There is also constant banging outside where people slam their car doors or they start shouting or indirectly talking about me outside my window. They also drive up and down in modified cars which can be very loud and this is something that I have experienced for over 4 and a half years. The people you see in those two videos are all gangstalkers. They are all following me around and harassing me. They have access to an application on their phones which displays live surveillance of every room in my apartment including the bathrooms. They observe and study me every day. They watch me use the toilet, shower and bath. They have suggested many times that they have watched me having sex with an arseist in my bed as well as one other girl. They probably even watch me going to sleep at night. When I go to sleep I have to use a speaker with meditation music on full blast as well as earphones with more meditation music otherwise they will be gangstalking me throughout the night and constantly waking me up. Sometimes the speaker will lose its connection or the earphones will run out of battery and then they get the opportunity to wake me up. So my sleeping routine is almost out of my control and has been for over 4 and a half years as well as having access to hidden surveillance cameras in every room of my apartment. I believe that the gangstalkers also have access to the CCTV around the city. It's clear that they always know where I am and they always know where I am going to be before I get there. I believe that they access the CCTV through wifi via an app on their phones. This is a gangstalking criminal network. Every day for over 4 and a half years the gangstalkers wait for me outside to leave my home. They used to follow behind me but now they don't do that that much. I'm not sure if it's because of shame or because they think I look down on them or see them as less than me for creeping up behind me. But recently they have started walking in front of me they will even increase their walking pace or start jogging just to get in front of me then it appears as though I am the one stalking them. They want me to feel shameful and embarrassed as they probably felt when they were creeping behind me. Wherever I go they will be waiting outside. Sometimes they will even come inside and start making noise or trying to distract me from whatever I'm doing. This is a constant 24 activity for them and has been for over 4 and a half years. When I first started to experience all of this I couldn't understand what was going on. I then discovered gangstalking and it was very similar to what I was experiencing although I didn't notice anything to do with coloured clothing or cars but then I started researching the colour coding and suddenly they started doing it. However they have access to all of this on an app on their phones so they are observing whatever I am researching and then using it against me they have always displayed different kinds of scenarios. I have seen men with girls maybe under 5 years old there was one man taking off his shirt and putting his arm around a girl who was very young and then another time outside my apartment block police were walking past and as I went in the elevator there was a man with a very young child. They also display men with teenage girls a lot. White men with Muslim women it's all very strange behaviour but I believe it is designed to hurt me somehow. They engage in this behaviour because it is exciting to them. It gives their lives purpose or meaning. It gives them a little high makes them feel alive by stalking and harassing someone who doesn't know what they are doing. They are also envious and jealous of the target. They are envious of the target's happiness and contentment and jealous of anyone their target could potentially come into contact with if they didn't intervene. They want to isolate the target. They want to take away their happiness and contentment. This behaviour is linked to narcissism. They cannot be happy if you are happy. They are always comparing themselves and their lives to yours. I have updated the video descriptions of both of the gang stalking videos. This should help you to identify exactly what is happening. Please let me know what you think in the comments and if I have explained this clearly enough. Thank you for watching and I will talk to you soon.


Awesome. All right, guys. This is the 21th Convention 2010 of Stockholm, Sweden. I'm Anthony Dream Johnson. I want to welcome everyone here to Sweden. I'll give you guys a hand, too. This is a long way off, man. We're a couple thousand miles from Orlando. Yeah. So I'm glad you guys made it out here. It's a long way. It was for me, too. Long flight, fun flight, fun city. Again, my name is Anthony Dream Johnson. I'm sure everyone knows up and now. 21. I currently live in Orlando, Florida. My dream, though, is just coming years of travel. So, man, I live there too much longer. By the way, before I talk too much about myself, where is everyone from, the countries and things like that? Because we knew this in Orlando. We always have a few, but it's always like Canada or something like that. Like, it's kind of a country. But what is a country but so close? Like, you're from Sweden. Yeah, of course. Yeah, northern Sweden. Yeah. Cool. Where are you from, man? Costa Rica. Costa Rica. It's a long way, man. That's good. That's awesome. That's farther than me, man. Scotland, I think you said. That's badass, dude. I'm Irish. That's close, right? My geography's horrible. Typical American. Who else is... Raise your hand if you're from England. Who's from England here? Couple of you guys. Fantastic. Anywhere else interesting around Europe? I'm just really curious. Everyone else here from Sweden? Really? Yeah. Oslo. Oh, Norway. Dude, I'm Norwegian. Yeah, yeah. Awesome, dude. I'm a quarter Norwegian, so... My name, the surname was Ingebotsen. I guess it's pretty Norwegian, yeah. Yeah. All right, cool. So we have a pretty international convention going here. It's awesome. Loving it. But moving on, I'm not here to ramble to you guys about the convention and what countries you're from for the next hour. It's not that cool. You get old pretty fast. I'd actually, though, before I get into the title of my speech and the actual subject matter, so to speak, I want to ask you guys, like, why are we here? Why do you think we're here? Not necessarily the esoteric one. I think the answer to that would be, like, we're here because we want to learn how to live. That's the question, the answer I seem to come up with. When I talk to guys, when they ask me questions at the convention, when people ask me questions about anything, it just comes in and I hear it as, like, you know, I want to learn how to live. That's awesome. That's why I'm here, to learn how to live. That's one of my purposes in life. But why Sweden? This convention in Orlando, three years ago, four conventions ago, so does anyone, you know, the guest is, like, why we're here? Anybody? Anybody? Just because it's Stockholm, hot babes. I always script the plural and singular. I don't know how to do it. Yeah, I think we're here. I believe we're here because this convention is meant to help people and it's meant to change the course of a generation. To do that, we have to do remarkable things. And this is one of them. The other thing we do is put the footage out for free, which makes it mega, mega popular, thanks to, in part, our Jonas, our tech guy who's here. So that's awesome. I think it's a huge part of what's going to help make it have any chance, any legit chance, of making an impact on a new child generation. And I really believe it's meant to do that. So that's remarkable thing number one. Markable thing number two, and this is more so why we're here in Sweden, is we're the first conference for men, as far as I know, to ever host it both in North America and Europe, back-to-back. So again, give yourselves, give yourselves a round of applause for making it out here, especially for Danny, who made it from Florida. So, damn. Yeah. So, enough about the convention, all that fun stuff, the remarkable things we do. Again, I'm not here to round with you by the convention, I'm actually more to talk to you about a specific subject that I've had a very interesting experience with over about the past eight weeks and especially the past four weeks. The title of my speech is Becoming a Stronger Person. How I did it and the key elements I see on how to do that in your own life. And also how a dream became a reality. Literally, us sitting here in this room, this was a dream of mine once and we're here now, it was amazing to me. I'm still having trouble processing it. I'm in Sweden doing this. I always thought I might be in Orlando, Stockholm really. So that's really cool. And also a part of my speech today is going to be discussing the most severe test I've ever been through in my life. Which was the past four weeks when I toured Europe speaking about this convention in Stockholm, Gothenburg, Amsterdam, Munich, Vienna. All these places, touring Europe. I never thought I'd do that. And that was a very, very strenuous time for me these past four weeks. It turned out really well and I'm very glad I did it. So the title of the speech is Becoming a Stronger Person. And the four key elements is what we're going to kind of discuss and then go throughout the entire speech discussing. The first element that I found about and this isn't necessarily an element of a strong person. It's more of an element of how to become a stronger person. So it's more of like about the journey and the process and like some arbitrary other for like a strong person. Whatever that means to you. So again, it's more about the process and then the end result being unique to you. The first element that I see is you have to do your own thinking. You've got to be an independent thinker if you want to become a strong person. It's just a massive, massive part of it. And it's the number one element that I see in it. The second element and we'll get more to these as we go along. The second element is you have to drop and discard it as fast as you can immediately. The second element becoming a strong person. The third element becoming a strong person. You've got to be willing to sacrifice everything for something you believe in. Obviously you have to know you have to find that thing first. Once you do, you've got to be willing to sacrifice everything for it. And the key part of that too is willing. You don't necessarily have to do that. But if you're willing to, that's the important part of it. The fourth element and this sounds a little bit I don't want to say woo-woo but a little more esoteric I think is the word. And that is you have to find peace in your heart and rise to the challenge of massive, massive uncertainty when it comes your way. You shouldn't have it non-stop. That's artificial, it's unnatural. But when you do face it you've got to be able to step up and rise up. And the first one, I think that's going to really skyrocket the process of you becoming a stronger person. And not just like one area of your life, like women or school, academics, career, whatever but I mean like the whole thing like the foundation, the pillars supporting you as a person in every endeavor you take on every action you take. So the first element I get said is to do your own thinking. Become an independent thinker how do you go about becoming a critical thinker, an independent thinker? One way I found is to and this isn't always the answer but for a lot of times for my personality it is I have to isolate myself. So about 8 weeks ago when the convention here by 8 weeks ago I realized the convention here was lagging ticket sales. It kind of hit me like all once. I saw the ticket sell throughout the year and it was a pretty good amount. In June we had X tickets sold we needed to sell more fast. And then I started kind of freaking out I was kind of getting scared I was like what am I going to do? I want to do this but I was like man there's a lot at stake here it's not as simple as like just plow through it and promote the hell out of it and push tickets because there's a lot of risk. If I messed up financially with this event it could hurt the Orlando event and everything like that so it was really important to me to isolate myself. When I started feeling that stress from the possibility this event not happening I started going for walks a lot more which I say I do but I didn't enough but when it started happening that stress I started going for walks a lot more I went for drives by myself I got a loan I got into my head so I could kind of figure out what I want to do with my life and what I want to do with this entire convention over here I knew there was going to be a very tough journey ahead so I think if you can isolate yourself that's a huge part of becoming an independent thinker you just got to like get that noise out of your head make kind of quiet it down and think real clearly and just get even other people too that want to help you just got to be like you know what hang on a second I got to figure this out for myself really important and the point too of there's a point to isolating it not only becoming an independent thinker but also being an independent thinker and being an independent thinker and this is what I ended up doing is you boil it down to something very actionable and action so for me I quieted down all the stress in my head I kind of got everyone out of my life for just like a few days maybe a week or so and I was like what I need to do with this event and I decided I was like you know what I'm going to do this whatever it takes and guys I'm freaking out but you know what if we move x tickets by this date then we'll do it and if not we'll just you know not do it but I knew in the back of my head at the time I was like it's nonsense like I'm not going to do that and I knew that but I couldn't tell myself that yet I wasn't there yet but I was close so deep down I said I was going to do it at that time when I boiled everything down to that action and then two weeks later it was going to really hit me when I decided to come to Europe really early and do this event and bang it out another thing too is you should I got some extremes from friends I had about you know advice on doing this event so I had guys telling me like you shouldn't do it man too much of a risk financially you're going to lose your ass you shouldn't do it man focus on the United States do it in California yeah people really have told me to do that I think I should mention in New York and California maybe but we already have a guy doing it over there and I don't see like the potential for the event there yet I saw it in Europe is where I saw it so I have people telling me not to do it and then other people other friends that were like yeah man just do it man you can do it you're the dream baby and I'm like really like it's not that simple right now it's kind of a gray matter I mean eventually you know I went through that and made a decision through isolation but I listened to those extremes and it gave me like perspective on where I wanted to find where my answer was at which is kind of I mean I ended up just doing it at all costs but really it was more in the middle I was like alright I got to do this at all costs but I can't just be an idiot about it like when I started this convention it happened through like sheer like force I was like I want to do this and everyone wants to do it with me and I'm going to do it and I worked my ass off and made it happen which is what I did again here too we all made it happen like I passed four weeks especially and bust some ass around Europe so it was just like pile drive my way to Sweden it was like pile drive my way like really fast and like weave through all these jagged rocks and like obstacles along the way so not sheer force my answer is in the middle well I guess it leaned a little bit to just fucking do it that's how I am, it's personality, crazy another idea too that I'm going to get more into in a second is that by becoming an independent thinker you don't just, I used to think this way you just discard everything it's like I'll think for yourself everyone else can just screw themselves man I know what's up, I'm the man I think for myself, dude not cool like I said you listen to the extremes to get perspectives like those points in the end of the spectrum at the same time like that's like I made that decision that was somewhere in the middle because I was thinking for myself I became the filter of all that noise from all these people on extremes people in the middle people that had invested interest in the event people that didn't so all these different people all this different advice it came down to me thinking for myself and filtering all that stuff that's what being a critical thinker is all about is being the filter rather than blindly accepting what someone tells you or doing the opposing thing to that which should be just discarding everything like an arrogant prick which I've done in the past and I'm thinking for becoming a strong person massively important, foundational I've read about 50 note cards in Europe by the way and am I speaking to her around Europe I did so many speeches I used them all up so I'm down to a friggin little notepad thing but it works, it works it's good the second element to becoming a stronger person which we'll talk more about in a second well it'll tie into element one and element three is dropping the ambiguity so like I said I was like I was writing on my blog, Jonas I was writing on my blog when I figured out this event might not happen I was still kind of shaky about it I was like I want to do this but we need to sell X tickets by this date and on the surface level that's really what I was thinking on the deep down that was nonsense nevertheless that's how I was acting on the outside and that at the time I think is why it didn't pick up even more steam at that time because I hadn't yet just shed that ambiguity and myself that weakness I was like man I don't know it's just a weak move I was like nah I don't know what I'm going to do I said it was rambling forget it the point though element two is drop the ambiguity and I'm going to talk about how to do that well you drop the ambiguity by like I said combining element one and element three so element one is doing your own thinking element three is being willing to sacrifice everything for something you believe in so when I was thinking for myself from those extremes was that you know don't do it at all you're crazy you know you shouldn't do it and so many different ways too it wasn't always like that abrasive route some of my friends were like dude you shouldn't do it man it was almost like that underhand like nah it's cool man just should be alright don't do it do it in Orlando take the safe route man nah that's not my personality the opposite on the spectrum too though well I already told you guys that so I came to the middle and when I finally dropped that ambiguity it was because when I shed that ambiguity you saw my blog it was because I was like you know what I believe in this convention I believe it helps people individuals and I believe it has the ability to help the collective too on a massive scale I was like that's what I believe in and that's what I'm willing to sacrifice anything for there's actually a friend of mine named Steve and when he said that about me in an interview we did of him that really hit home and I haven't forgot it and I probably never will because I really do believe in this event and man when I decided on that when it became clear to me that that's how I fell deep down and that I was like you know what there's a filter I need to put here to find that answer for this convention that's how I dropped that ambiguity so if you ever feel the weakness in your own life get really clear on what you believe in what you're willing to sacrifice for willing but not necessarily going to and then be that filter and you'll drop that ambiguity so you come together in the middle from it or another way to say it too is that I forgot to hit as far as finding out what you're willing to sacrifice everything for that's not the easiest question to answer I can't tell you that that's like asking me like why is the sky blue it's just blue so at the end of the day though it's a conscious choice and it's an action you have to take and yeah it's something you have to decide on your own isolation though like I said for independent thinking can also help in this regard you don't want to isolate yourself too much I've done that in the past growing up and I can have really really devastating effects on your social life on your relationships on your academics on your mental well-being I'm not even joking man if you isolate yourself too much they have a lot of barriers in between them man you'll like lose your mind so you can't overdo it and you can get alone and you can really get the core of what you want to do with your life and think all that BS noise out of your head that distortion you'll probably find at some point I think we'll have it too there's something you might be meant to be doing in your life and you'll find it and when you find it you're going to become a lot stronger person automatically because you're going to say like I want to do with my life and this is what I'm going to sacrifice everything for my assets, all of my time like who knows what man my health, my sleep, whatever if you believe in it man that's what counts and the way to do that is through isolation again temporarily there could be other ways too that again though seems to fit the way I've grown up in the personality I've somewhat created for myself so if you find other ways too a million different things that help you find what you want to do with your life and what you want to sacrifice everything for keyword again they're willing not necessarily going to two different things there so in that sense too don't be eager to just like trash your life for something you believe in you shouldn't necessarily have to do that I've done it but you're not always going to have to and don't be like eager and like you don't have to believe in it's like oh if I believe in this then I have to like trash other parts of my life not sense you don't have to do that it's total BS but you've got to be willing to do that and when people see that in you that's what brings people across the world to Sweden, Stockholm that's what brings like tens of thousands of historic sites every month that's what brings hundreds of people to Orlando too in Florida is I think people see that I mean they know that I'm willing to like make what I want happen and what we all want to happen together no matter what it takes and when you guys can find that in your own life whatever it be, career, academics relationships, who knows it could be like saving pandas or something saving zebras you never know there's a quote I read in a book recently and while this isn't an exact quote it's not a butchering but it's like a paraphrase of the thing of something you believe in you're going to come to a point and I did and with this convention in Europe it happened with a friend of mine who's also speaking next I got to Sweden, right, in Stockholm that's the big reason I came here was to promote the event and make this happen but the came a point when I was doing all these things and I was pushing as hard as I could and as intelligently as I could and like it wasn't working and I was continuing to kind of freak out man it was really scary and I tried all these things a large amount of money in a ppci campaign I contacted all the speakers to promote the event I did everything I knew how to do and then some I used to go to sleep at five in the morning the sun be coming up in Stockholm it already be up for two hours it comes up at like three in the morning here it's crazy you come up from the club and it's coming up but there came a point and this is where this quote comes in is when it's actually right two and a half weeks when I got to Stockholm May 10th and it's two and a half weeks after I was here and long story short I decided what I needed to do was a tour of Europe speaking like I told you guys Stockholm Gothenburg Amsterdam Munich Vienna when I decided to do that that was when I broke the threshold that most people think they don't pass not necessarily they're going to fail out but that's just where it ends up happening for a lot of people and the quote from the books The Alchemist and the quote and it more or less says don't be the guy that dies of thirst just before the oasis which literally is what that point was for me when I was here in Stockholm don't be the guy that dies of thirst just before you're seeing the palm trees and you're in that desert you're dying of thirst don't be that guy that's like right there and just falls apart because that point came to me I was terrified man this event wouldn't happen financially the cost of doing this across the world I'm not going to lie but I came to that point and I was like man if I can just if I can just hold on to that same courage that we all have the same amount of if I can hold on to it a little bit longer I'm going to get to that oasis and I got to it and that oasis ended up being a tour of Europe that was pretty hectic too and pretty stressful but really fun and I did that and I think it helped this event massively if not actually indirectly because the cost of flying around Europe they're not too expensive but we only moved so many tickets so I think actually the bigger point of doing that tour of Europe too when I found that oasis in the desert is that it was another expression of like I was willing to do anything to make this event happen so people saw that online they saw it on my blog they saw it on the site when I told them I had this actually this map I made like five in the morning and got them to the airport with like a track pad on paint it was really crappy I was just so tired I was like I got to tell you guys what I'm doing I'm at the end of my ropes I'm so scared but I think when people saw that people do when I wrote that people donated people donated money people bought all these things to help support the event because then y'all are struggling to make this happen but when they saw that express that strength they're like man it's like you know you can do that and when you see someone else doing it you want to support them because then you like you receive that back it's like a mirror almost I get that too with guys like one of my favorite guys I like to support is Tim Ferriss I have his book I got to get the other one too now I'm becoming superhuman it's coming out and all it's saying so you see that strength in him for example who's the fan of Tim Ferriss by the way yeah figure as much awesome guy I think too that's why he's a strong guy man I don't think people see that in him and that's why it's really clearly expressed so not only is he a strong person he's become a strong person but people it's reflected really clearly in him and when people see that they support him massively because you get that back it's like reflected in the center even more back at you so in the same sense of people supporting this convention when I wrote about that and they saw that strength when I was just like you know what man I'm making this happen no matter what I'll sell like my shoes to make this happen walk barefoot through Stockholm with the Sementska Flickas people saw that just like you see it in guys like Tim or who knows and when you support that you get it back too which I think is a huge reason why that happened people saw that expressed so clearly in me when at five in the morning at Gothenburg airport on a dying laptop I've been on this third key element for a while we got to move on to the fourth one so we can get day on the man up here the fourth element again it sounds a little bit woo woo I call it spiritual but I'm dead serious and it's you've got to find peace in your heart and then you've got to be able to deal with that massive uncertainty so I had all this stress right from you know like you know the event almost was not going to happen financially it's got a lot of expenses and I had that stress when I was in Stockholm and every night I'd be up I'd get no sleep probably because of working probably because the sun was up and I couldn't go to sleep but all that stress all that noise it's like I shook my head up so much and I allowed that noise to come back when I was in Stockholm it got so freaking loud it like made me deaf all of a sudden and I was like man all this stress I'm going to let this feed me being relaxed and getting clear on what I need to do which ended up being the tour of Europe Stockholm, Gothenburg, Amsterdam Munich, Vienna so in that sense if you can find that peace in your heart for me the way I did it was through that massive amount of anxiety I felt it's not a good feeling but it's not necessarily anxiety for example I felt isn't an inherently bad feeling but it didn't feel good but you know what? when I allowed that to feed into what I wanted to do that's another thing that gave me a lot of strength all of a sudden to be like you know what this is scary as shit but I'm going to do this tour I'm going to make this convention happen so find that peace in your heart and let that massive amount of uncertainty that's I'm sorry to tell you guys it's going to come to the territory of becoming a strong person in any way shape or form whatever way is unique to you it comes with the territories, massive uncertainty especially for live events let me tell you but if you can let that feed into finding like that peace and relaxing and getting clear on what you need to do that's like number four this helmet is huge and number one so very important the stepping up too I got a question in Amsterdam when someone I talked about not this exactly but it was a very similar event in my life where I just all of a sudden stepped up it was actually happened at the 2008 convention in Orlando where I lost a lot of money of the filming we had too many cameras too much camera work we had like 70 guys but there was like 130 RSVPs and we collected money at the door instead of online so we were like way short of funds so that was a really rough time in my life too and I talked about that my best friend also at that time that was in 2008 I talked about in Amsterdam that really traumatic time a friend died, finances were on the floor probably somewhere a couple feet below the floor I talked about it I stepped up after that and that became like really the big change in my life where you saw me change as a person from like kid to like I don't know if you call it man but you saw me grow up really fast all of a sudden because these really traumatic events and when I talked about that his question was like how did you step up? like I said a minute ago it was a conscious choice I've told you about the ways it happened to me with the noise and isolation all these things but ultimately the same thing with you guys everyone in this planet let on this room it's a conscious choice you have to make that everyone can make it can be with women too like growing up I was as I've talked about elsewhere the previous conventions growing up I was very very horrible social skills women everything like that but you know what I always had the choice to be better with women to be sociable to relate to people to do all these things and communicate clearly you always have that choice you just have to let the experience catch up and eventually you'll be able to you'll see and you can make that choice which is how I made it it always comes down to yourself for that big choice in your life so it's the same thing again too with you can't ask people how did you do that massive thing in your life and they can tell you all these things like I've just told you but ultimately it comes down to you so if you ever have in your life like that really hard point where you're like holy crap man I'm just really scared right now just remember it comes down to you not only does it come down to you that's where it ends up it can only come down to you for example becoming more successful women dude we have all these coaches coming in all these speakers flying in from around the world they can help you massively get better with women right but you know what at the end of the day it's going to be all you guys helping yourselves so they can help you they can talk you through all these things give you all these ideas and you can filter out and become that independent thinker it's cool good to see you man so you can yep so you can do that but ultimately again it's just going to come down to you every single time there isn't an option you can have 247 be a personal assistant right it doesn't matter it's going to come down to you people can't make choices for you so they can but that's not good you've got to make your own and when you do that man that's another thing too it's like it's cyclical the more choices you make for yourself for a person it just compounds upon itself people ask me like they always ask me like dude how do you do this convention they see it on the internet and it's like mystical to them it's like how do you do this it's like man is this what I want to do and I just figured out as I go along like life it kind of sounds like it's not like day on yeah but I'm dead serious it's always going to come down to you and not only is that the way it just turns out it's the way it's meant to be it can only be that way so if you get these four elements down just to reiterate again too you need to be an independent thinker you've got to drop the ambiguity which I totally stole from Jason Savage definitely 2009 speaker become an independent thinker critical thinker think for yourself drop the ambiguity you want to sacrifice find that thing you believe in and then be willing to sacrifice everything for it and the fourth element and again that keyword is willing when you're willing people are going to see it you can't hide that you couldn't hide it if you tried I couldn't hide how I feel about this event if I tried I could wear like who knows what I could do to try to hide it and it wouldn't work you guys would see that or it would be impressively difficult to hide it because I'm a total nut child like that and if you hang out with me in person you'll see that and the fourth element is you've got to find that piece in your heart and you've got to be willing to deal with that uncertainty that comes with every so often it's a part of everyone's path you're going to come to that point in your life it's just part of becoming a stronger person it's unavoidable it's not a bad thing even if it makes you feel like total crap it causes you to become depressed anxious your life just falls apart you're getting no sleep for two months you stay up every night for two hours staring at the ceiling freaking out about something that turned out pretty good we're in Stockholm and again let that fourth one too it's important to let that when you come to that point when you're seeing the oasis and you're thinking about quitting and whatever you're doing it's important to let that feed it all those negative emotions we just want to label is inherently bad nonsense use that let that feed into what you want to do and then be expressed so people can support you because you truly want something man and I stole this from the alchemist awesome book for real when you truly want something the world will inspire to help you which I think is exactly what's happening in this convention over the past three years four events now in Europe in Orlando online everywhere Jonas is a guy again who does her web work and he does it like for free because he believes in the event which I can't even tell you like how invaluable it is because he's like so awesome with it and I can't do everything and neither can anyone else but he's awesome and again man like this event too I got more help during these past four weeks when I was in Sweden in Europe and other parts of Europe I got more help than I ever had before in my life to make this event happen because I believed in what I was doing and people saw that and when you truly want something I swear to God people can aspire to help you man and if you don't the America's aspire against you so believe in what you're doing it's important little paradox there some of you might be wondering a lot of people come to this event because it focuses especially in Europe especially in Europe for the time being success with women stuff like that so how does this relate well it directly relates I'm sure you can kind of connect the dots and how it directly relates to success with women and going through a journey where you go from someone who can't talk to girls someone who can or even if we get girls I couldn't talk to people which I think is a problem for a lot of guys in the pickup community so to speak they just can't even talk to people let alone girls to relate all this foundational pillar stuff you should let that be a continuous like journey underneath service level journeys that you take throughout your life so the four elements that I was talking about about becoming a stronger person you need to let that support and feed into journeys that are more specific so with women for example I went through a couple years of just torture trying to learn how to talk to girls I basically crammed 17 years there were 17 years in my life where I should have had social experience I basically didn't have any so I crammed 17 years of lack in the two years of going out to bars and clubs and meeting girls I just did that all once and it was a really traumatic part of my life and all that and it was that service level journey that things like that things like I've just talked about those four elements they came into being and they began to support that journey and you know what I didn't complete that journey so to speak and I never will I think we're supposed to but I got my ability to talk to people and women in my life handled to the point where it was no longer a dark cloud following me around like in Winnie the Pooh or something like that or whatever other cartoon uses that so that's a service level journey that you can use these to feed into and support so women is one and I recommend everyone watching this or here I think everyone here has probably already done that started you start with women I think as a man it was like the number one thing you need to like get off your mind as again the dark cloud thing so you've got to focus on that first and eventually you're going to come to a point for me it was just my ability just to talk to people and girls that was the point where I was like alright I'm not done with this but I got it handled so to speak when you get a chance to can you give me my backpack from under the table I'm going to need something in a minute the whole thing so start out with women I think you're the best event in the world for this those other events too they're pretty awesome awesome events and the twenty one convention in Orlando, Florida it's next month you guys want to make it out Danny will be there a couple other guys here will be there so you have these events you have this help and really as a guy it's super important man you need to get that that handled thanks all my stuff backpacker bag of bond so start out with that and then right after that I'm going to recommend you move on to your health I think is if you have if the most human thing you can do is socialize or have sex you kind of combine the two like that's we're social animals right that's the most human thing you can do so you've got to get that handled to the point where it's no longer dark cloud again though you're never going to be done with it got to continue the second one though I think right behind that as a human being you need to get your health handled which we didn't fly anyone in here but if you go to Orlando and you watch the footage online we're going to have some of the best guys in the world speaking in the land of Florida on how to exercise on how to eat on your lifestyle on sleep on how to sleep on like how to work out man everything everything you can imagine like I'm not really good at describing these things even though I love them I'm more of a very long window so it takes me forever if you ever read my blog Good Dream Mind you'll see that but yeah start out as a guy getting that party life handled with women being able to talk and then move on I recommend as your next journey well it should be almost a mirror image it was for me as my journey with women and learning how to talk to people the next area of life you should focus on is health nutrition exercise fitness any one of these words that we as a society never seem to take the time to define they actually try to define exercise it would be interesting because you never find something really concrete to do that that's why I'm bringing this backpack up I have my four favorite books as far as the we pass this around to you guys want but they're day on no never mind okay I own these books too this is in my opinion the number one book it's the number of book I've ever seen on how to eat and how like a healthy lifestyle nutrition anything you want to call it diet it's an amazing book the author Mark Sisson the guy on the front is coming to Orlando a pretty famous guy so kudos to myself awesome though I gotta buy him a flight I gotta buy him a flight he's a really good guy though I've talked to him on the phone ironically the first thing he asked me he's like he called me he's like hey so Anthony I gotta ask you is this like a how to get laid convention or and I'm like nah man hell no and it's not of course I've talked about this relentlessly on the internet and past years too it's become a lot more than that the first thing he asked me so the Prima Blueprint you can Google the review of this the Prima Blueprint review or Prima Blueprint review and you'll pull up my blog actually I got the Prima Blueprint review of it I don't know how I beat Amazon I don't know why but it's an amazing book I wrote a full review of it it's one of the few books I've taken the time to hardcore review awesome book highly recommend it he also has a blog marxdelliapple.com highly recommend that it's got like a bajillion posts on it amazing book so that's nutrition and lifestyle the second book I highly recommend for getting the health of your life handled is body by science awesome awesome book this to me is the definitive book on exercise period like I've never seen something better written not in the past nothing more concise nothing more condensed nothing more logical nothing more well written it's like it's not the be all end all but it's pretty damn close awesome book Doug McGuff actually the author just filmed two reality series with Tony Robbins part of it it's coming out July 27th right out of the convention and of course I'm a huge fan of the book and Doug McGuff will be in Orlando, Florida at the 21 convention currently as I speak awesome book obviously watch his footage for free on Tony McGuff mentioned.com sick book sick book awesome guy and he's also too he is like the man an exercise medical doctor he's been a personal trainer for over a decade I want to say owns his own gym but you know what too if you read his blog bodybyscience.net and you go through and you find his comments I swear to God that guy is like one of the smartest people on the planet very underrated not only with exercise but I mean just like a a really wise human being that needs to write a book on like how to live your life awesome guy Doug McGuff okay so those are the two books for that that area of your life as far as the getting women handled area of your life we got like the best guys in the world coming here and Orlando and on the website 21 convention.com so you have a million books for that or speeches for that content a lot of content the number one book too that I don't have for that area of life I recommend is called The Way The Superior Man I have a copy back in Orlando but God that's an amazing book I invited David D to speak he was going to but he's on a writing sabbatical so it didn't work out I guess that's where you just write forever and you just you isolate yourself right that's what it is right yeah so you can't come but man that books amazing The Way The Superior Man we pimped out a convention add the convention every year we probably sold like you know a billion copies but keep buying it it's an amazing book there's no way I can get commission for it I don't care awesome book seriously awesome The Way The Superior Man buy the book immediately if you haven't read it it's not pushed hard enough despite being pushed more than like any other book from men I've ever seen the other two books that these would relate more to the first those key elements I talked about about becoming a stronger person the first one is called meditations or the emperor's handbooks another edition of it meditations by Marcus Aurelius Emperor of Rome this guy was an awesome awesome guy there's different translations this is the one I have I got it from a guy named Ryan that I found he wrote a post on Tim Ferriss's blog awesome guy he's like our age 21 something like that awesome book, meditation super cheap it's just filled with wisdom men if you ever like if you ever like need to find that mirror like I said Tim Ferriss earlier there's another guy too that's like obviously died a long time ago but god this guy was an intelligent guy read this book, meditations the final book that will relate to the first four elements of becoming a stronger person is the book I quoted a little bit, The Alchemist what you got the idea from Dion I can't tell you like meditations almost like I can't even describe I just finished reading it so I'm still processing it but amazing amazing book once you got in once I got into it after the first few chapters I was just like incredible another I don't even know what to say his last name Paolo Coelho Coelho, yeah amazing amazing book about just the journey we go on as human beings it's really underrated I never heard of it before Dion told me god awesome book just like meditations amazing book and that's more or less my speech for the opening of this convention I could take more time and just ramble on about how much I love it I think you guys like it though and I write enough on the website about it and my blog and I span you on Facebook all these things so you get that idea if you want to I'm very personable I'll talk to everyone here and I will throughout the next three days I'm very one on one so if you want to know more about it the history everything like that that I could just go so much of it so many years now long history a lot to talk about and I'm here on the side but I'm not going to take time on stage away from Dion to do that so that's the end of my speech I hope you guys enjoyed it I wish I had even more time to prepare it and condense it but should happen then I was really really busy preparing for this event I hope you guys enjoyed it that's it so thanks guys oh before we take a break before Dion speaks does anyone have any questions or anything like that oh he's going to get a mic for you yeah it's not too big of a deal yeah well I can just go anyway the name he's asking you're asking the name of the fourth book The Alchemist I would just give you this copy if I had like five more at home I should just bottom up and spam them out because they're amazing awesome book and I like this it's one of the books too like the way the superior man I've read the book years ago and I still like I haven't read it in like over a year now but I've read it like four times and man like I just want to I want to keep whenever I get a chance I should just keep buying that book and giving out to people it's like that it's not a bible but man like that book is awesome years after you read it it's like it changes your life the way you probably your world of you will like be changed by this book if you're ready for it if not come back a year later because I've done that too books I've read like I almost didn't read this book first few chapters I was like it's alright yeah the answer it was good and then all of a sudden I was like holy crap it's like crack so it's amazing awesome book The Alchemist by Apollo Quelo here's a bunch of other books too and then next question anybody? no? no? thanks guys down's up next bye bye bye bye bye bye bye bye bye bye bye bye bye bye bye bye bye bye bye bye bye bye


So what we can now do is calculate what's called the molar enthalpy of combustion. And this allows us to make direct comparisons not only with or between different alcohols but also between the value that we've gained experimentally and the value that we might expect to find theoretically if we looked it up. So in this case what we have is to calculate the molar mass of ethanol. And again we use our periodic table to do that. So we need to write down the formula C2H5OH. It's sort of the way we write down ethanol. So that's two carbons, six hydrogens and one oxygen. When you put those together you end up with a value of around 46. So in this case all I'll do is just multiply my 6.2 kJ per gram by 46.068 I think is the exact value. And that will give me a number that is around 285.2 kJ per mol. Now that's nice as a number but what does it mean? Well it only means something if we do two things with it. Firstly we compare this number to other alcohols. Have you got methanol? Have you got propan-1ol, propan-2ol? Have you got butan-1ol, butan-2ol? Have you got methyl butan-2ol to compare between primary, secondary and tertiary alcohols? It will depend what you have as to what you use. But the other thing we can do is we can compare our experimental or empirical value with a theoretical value. If I look up theoretical value for the molar enthalpy of ethanol I find that that value is actually 1 about 1360 kJ per mol. You can see this value is significantly higher than this one. That's telling me that I may have some questions about my validity in this particular experiment. And in fact there are a couple of factors that may have affected that particular value. Obviously any energy loss is going to be very significant. So as the ethanol is combusting, if it's hitting the air, if it's hitting any other objects, it's going to transfer some of that energy to those other objects or to the air. And we know that heat radiates. It doesn't just go in a single direction, it radiates in all directions. So some of that energy is going to be lost. It's not all going to go into heating the water. And that's our assumption is all of the energy from combustion is being used to heat the water. The other thing that could actually affect this too is whether or not the type of combustion is complete or incomplete. If you find that you're generating a lot of carbon as soot, for example, then that's an indication that we have incomplete combustion that is insufficient oxygen for this combustion reaction to occur. And if that's the case, then obviously we're not going to be able to generate the high enough amounts of energy that we would expect if we were able to provide sufficient oxygen for complete combustion. That is likewise going to affect our value and again in the same sort of direction. So energy loss is going to mean we're not going to collect as much energy as we would expect, so that's going to drop our value. Incomplete combustion may also mean that we have less energy than we would otherwise have for complete combustion. So combined together, these sorts of things can significantly lower the value that we expect to get theoretically when we do it experimentally. This is a great experiment to give you a look at concepts like validity, reliability, thinking about your controls, thinking about the factors that can affect the value that you collect in your experiments, and definitely worth exploring a few different alcohols in order to compare the molar enthalpy of combustion for a range of different alcohols. And thanks for watching.


What's up guys Mike the Coder here today? I'm going to go over a cool trick that I learned so here Let's say we have two numbers a and b and We are want to multiply them together and then truncate the fractional part so we get rid of the decimal part So as you can see here one nine eight times one point one Equals two one seven point eight and if you remove the point eight you get two one seven So this problem is actually really easy if the values are super small But for super large numbers you have to know the trick behind it So how do you do this problem and what is the trick? So truncating is really hard for like large numbers, but here's the trick. So you take your decimal part Right your decimal number so both of these are b is a decimal All right, and a is an integer so when you take your decimal part You add up by any random garbage value that has like longer than I don't know Point zero zero one or any garbage value right that has like a decimal value And then what you're going to do is you're going to multiply by a hundred and cast it Okay, so here LL is a long long So we're going to take our decimal value and multiply by a hundred and cast it to a long long Okay, so that way is it's going to be Truncated and then what we're going to do is we're going to take this value and multiply by a Which is like our other value right? All right value of a and then we're going to divide by a hundred essentially what we're doing is we're taking So we're trying to calculate a times b right and then truncate it So truncate so to what we're doing is we're basically taking b and then just adding it by like point zero zero one Right, and then we're casting it cast it multiple point zero zero one and then multiply this value by a hundred and We're casting it Okay, to a new new new new value Let's call it D and then then we multiply this new value by a and divided by a hundred Okay, so a times D divided by a hundred Okay, the reason why we're doing this is that this would help stop the overflow of issues for floating point values and It will also help you dealing with large numbers. So, yeah, this is a cool trick you could do Not sure if it's super useful outside of coding contests, but this is very useful Okay, so add it by some garbage decimal value multiplied by a hundred cast it Then do your multiplication with your other number and the divide by a hundred Okay Yeah, if you want to take two numbers and you want to truncate and multiply them Multiply them and then truncate it. This is what you do Yeah, I hope you guys know this video may come subscribe. I'll check you guys later. Peace


Now, we know that the minimum number of errors that can be incurred is L dimension of the hypothesis class. Now, can we come up with an algorithm which also ensure that I do not make no more than these mistakes that is L dimension of H. Is the question clear? I know that that is unavoidable, maybe in the worst case I have to make L dimension of mistakes. Can I now aim for an algorithm which actually makes no more than this mistake? If I can do that then that is the optimal algorithm right. It is only going to make the mistake which is unavoidable and it is not going to make any mistakes ok. Now, how to come up with an algorithm?  So, we will just discuss one algorithm which indeed does that job called standard optimal algorithm. So, you just notice that like when I computed the little dimension sorry L dimension I computed for a simple case right where there are only d points there and there are d hypothesis for which it was almost easy to compute. But I kind of avoided computing L dimension for the case where it has large number of hypothesis right. So, it is because it needs to bit work out it is not like as simple as this. I mean finally, when you work out you will feel that that is not much. So, what is in general the case is computation of L dimension is not easy. If I give you arbitrary hypothesis class it may be pretty computationally involved. How to? So, how? So, I define ok the maximal depth d if there exist a binary graph which will be shattered then I call it as L dimension. But that is the definition, but how to compute it right like right right when you and I computing the simple example you are thinking ok why not something if I go further down take graph up bit more depth will let be shattered or not. So, we have to exclude those cases right like we to understand what is L dimension only I can shatter up this point and not beyond this point. So, that all these things could be pretty computationally involved, but when we are going to write down this we do not care about computational aspects ok. We just care about as long as they exist that is fine and as long as our definitions are consistent and make sense fine. Computationally may be to compute simple hypothesis it may be taking on several GPUs it may be taking 4, 5 days, weeks, months, years I do not care as long as it is well defined and it exist we should be fine. Now, so this one standard optimal algorithm which we will argue that. So, you see that this algorithm is almost same as holding algorithm except for the fact that here you are going to compute the L dimension of the hypothesis class corresponding to the one which predicted label 0 and label 1 and then make your prediction based on that ok. Let us understand this. So, at any given time you are maintaining this hypothesis class and you are going to partition your hypothesis at time t into two parts. One set of all hypothesis which are assigning label let us say R equals to 0 and another set of hypothesis which is to 1 you have two hypothesis class there. So, one set saying 0, one set saying 1 and the holding algorithm what we did we just said a label which corresponding to the one which has the largest number of hypothesis in this right, but here instead of that we compute the L dimension of the hypothesis class of both both my hypothesis class and then take the one which has the largest L dimension here ok and then going to predict according to this. So, in all this case it may happen that sometimes the two hypothesis class I have here they met we may end up with the same L dimensions for them in which case we are going to make the break the try arbitrarily. We are going to say if they are both of them same L dimension you are going to just say either 0 or 1 ok either you toss a coin or say that or it is up to your discretion whatever you want to do and then you receive y t and then you are going to retain only those which are making a correct prediction on your correct predictions on your even observed point x t rest you are going to throw away. You can show that this algorithm is optimal in the sense I am just going to state this that is even this algorithm it is guaranteed that it is not going to make no more than L dimension number of errors that means, really what I know that this guy is also lower bounded by this. So, it is going to make the Milman number of mistakes ok. So, I am just so as a corollary to this I can based on my lower bound I can actually say that this guy is actually equals to L dimensional or this particular algorithm ok. I will just the proof is also state forward, but I will skip that part. So, finally, we are completing the loop for the case of reliability condition when the reliability assumption holds right. We have first showed that for the reliability assumption what kind of bounds we can get then we ask for what is the best bound we can get. Then we establish that what is the minimum bound we can expect right that we shown through a lower bound. Then we are showing that that lower bound is achievable through this one. So, this is the best like any algorithm it this is the best it can guarantee it cannot guarantee anything more than this when the reliability assumption holds ok. Now, why should reliability assumption hold ok yeah. So, that is why like I am I have skipped the proof of this. We are just saying that if you are going to if you are going to choose this y t hat based on the one which has the largest L dimension, you will be ending up ensuring that you will be not making this many number of mistakes ok fine. Now, what about what happens if there is no fixed hypothesis in my class according to which the labels are generated ok. Now, what will be my strategy and what will be my evaluation criteria ok. So, first if there is no hypothesis in my hypothesis class according to which my true labels are generated, can you guarantee a finite bound on on any of your algorithm like whatever algorithm hypothesis you are going to choose, it is not necessary that the labels are going to come from that. It could be coming from labels could be coming from some hypothesis which is outside your hypothesis class. So, because of that there is no way like you can guarantee that you will stop making mistake up to some point. You may still want to guarantee that you want to still want to minimize the number of mistakes you are going to make. So, in that case now we have to see what kind of evaluation criteria we are going to set up and how we can minimize that, how how how we can do best on that ok. Now, we are looking to unrealizable case. So, by just unrealizable I am saying that there hypothesis that generates the label need not be in the my hypothesis class H. So, that is this H star which generates my label need not be in my hypothesis class H. So, then in this case now the first question is how we are going to set up our evaluation criteria, how I am going to evaluate myself, how good I am doing. All I can do is while learning I can only use hypothesis that are coming from this hypothesis class ok, but the true label could be generated from a hypothesis which is outside, then how I am going to measure my performance against ok. So, earlier when H star was included in my hypothesis class H, I aim to quickly identify that and always play that identify quickly that and always play that right. If you can quickly identify always play that you are making no mistakes. Now, anyway that H star is not there in my hypothesis class. Now what I would like to do is what is that single hypothesis in my hypothesis class, if I keep to playing throughout that would have given me the smallest number of mistakes. I do not know apriary which is the one which is going to give the minimum number of mistakes apriary, but I want to do as close as to that ok. So, let us suppose I kept on telling you ok in round 1 this was x 1 and this was corresponding label y 1 in the x 2 y 2 like this ok and these labels are generated by this H star, but this H star does not belong my capital H. Now, all you can use is hypothesis from this hypothesis class H right, which one among this you would have like to apply on this. Let us say you have after observing all of this. So, one which with minimum number of. Right. So, you would like ok you will take first take one hypothesis from this and apply it on all h 1 x 2 thing and see at how many point it made mistakes that is the number of mistakes you get for the first hypothesis and you can do it for all the hypothesis and you will see somewhat someone which has made the smallest number of mistakes. You would have like to ideally start applying that one right from the beginning right, because that is the one which is. So, here now you have the advantage of hindsight. You have observed all the things and at this point you are seeing what is the best I should have done. Now, I am going to take that as my evaluation criteria. I am going to take that hypothesis which has done best on this hypothesis class is my benchmark, but I apparently do not know that right, because I have not seen this. This is I am in an online setting I am not in a bath setting. If I start from if I start making predictions how much errors I am going to make compared to that hypothesis which is the best in hindsight ok. That we are going to express as follows ok. Fix first hypothesis. So, what is the first part here? Y t hat is what you predicted, Y t is what been revealed. So, Y t hat minus Y t is the mistake you are going to make right, we are in a binary setting. So, over t rounds so this is the mistake you have made. Suppose you happen to apply the same hypothesis H in every round by applying this hypothesis H this is the number of mistakes you have made. Now, this is basically you are comparing yourself against a fixed hypothesis H ok. Now, what I will do? I will take the worst of things I am going to because I do not want to be dependent on a sequence right. Like I do not care about which particular sequence I have been observing I want to give this guarantee for all possible sequences. So, that is why I am going to take this supremum over all of this ok. What is this now? I have to play a single hypothesis throughout my interaction with the environment. This is how that that is going to give me this much of errors for all possible sequence and this is what I would have incurred according to applying my own algorithm. So, Y t hat is given by your own algorithm. This is what you are going to incur if by your algorithm this is what you are going to incur by playing a fixed hypothesis. Which gives me minimum number of mistakes. No I do not know whatever I do not know I am not saying that gives me the minimum number of mistakes it is just one hypothesis from that. Belonging to H. Belonging to H and let me call this as. So, this R your algorithm A which is going to predict Y t hat in round t and in n rounds this is what you are going to incur.  So, let us say when you are going to face an environment this is the sequence you observed in that this is the number of mistakes you incurred. This is the number of mistakes incurred by hypothesis H and this is the difference between U and the hypothesis H. Now, I am looking at the maximum difference of this. That is also we have got from some hypothesis. No this is by your algorithm.  In in Halving algorithm it is coming in a different way whatever it is I am just going to that is why I am just writing it as Y t hat and I have now looked at the worst case how is this one yeah because I am looking at the number of rounds right. I have been I said that my interaction is for n number of rounds and my sequence length is also n here that is what the x 1 y 1 all the way up to x n y n I have looked at n interactions. If you are going to change n the summation will also be larger ok. Now, what I want to now look into this is I am going to think I am going to now call it as the regret I have for not using hypothesis H all the time. This is what you get the number of mistakes you incurred had you played H this is what you would have gotten where compare yourself with this. So, you are basically saying how well I am doing or how I am doing compared to the case where had I played H throughout my benchmark here is plain the same hypothesis throughout. Now, as you said this hypothesis is here need not be the best one ok I do not know which one in my hypothesis class does the best job ok. I want to now compare my performance against that best hypothesis. So, how to take that into account now I am going to define my regret as supremum of this guy. So, this is the regret I am going to incur if I have been playing H right if I have played a good H this quantity is going to be smaller right because if I am using a good H it is going to make a smaller number of mistakes. So, that is why I am taking supremum over all H ok. So, alternatively you can just before writing this step I am going to do this. So, what I am doing I am looking instead of this particular H I am looking for a H which minimizes this quantity. In a way I am looking as my best hypothesis which gives me the smallest value right. So, if I write here this H is now a function of this hypothesis sorry this sequence right the best one, but I wanted to it to not define it in this fashion. So, this is minus of in right if I pull this outside this in it becomes super over H, but now if I write super over H here this H is still a function of the sequence the best soup here ok ok. So, I, but I do not want it to be depend on H. So, the way we are defining it is by just defining it as like this. So, ok fine whatever you can ponder on this finally, but are you convinced that the benchmark where setting is the single best hypothesis against that I would have like to use compared to how much I am going to incur when I am using my algorithm. I am just comparing whatever algorithm I am going to use how it fares against a hypothesis which does the which gives me smallest number of mistakes. I do not know what it is, but a priori, but I want to perform as close as possible to that one. And this is characterize this is capturing that and we are going to call this as right now because we are taken super over H. Now, this is only function of n here. Suppose my realizability condition holds ok, what would be this term here? It is going to be 0 right because there exist one H star which is always going to make a production and this term is going to be 0, but now I do not know I have removed that condition right because of that this guy need not be no necessarily 0. Even the best guy I have in my hypothesis it is going to possibly make mistakes, but fine that is what I can afford to and I am going to compare my performance against the best I could I can afford or I have access to. And this we are going to call it as regret in this setup. We will we will define keep defining different notions of regret throughout, but in this case this is how we are defining our regret. Did I make any such assumption? In defining this I did not make any such assumption here or if the finite hypothesis class is not finite does anything break down here in my definitions is everything still makes sense as long as these things are consistent and not violating any of our consistency checks that is why. So, here nothing is being violated ok. Now, fine this is what you are you have defined your regret to be this is your performance criteria. This is what you are going to set your criteria evaluation criteria as now what you want.  No only it can be 0 is this quantity is for the best hypothesis I have I am doing similar to that. Now, we get to the notion of learnability here. Remember how did you define learnability in the realizable case? We said that as long as the number of mistakes I can bound by some finite number then we said that hypothesis class is learnable by algorithm A. What is the notion of learnability here ok? We say that. So, actually I should also write this as this is now you are learning this hypothesis class right. So, I am just also it is important to mention what is the hypothesis class we are learning. So, this is R capital H. Now, we are going to say that. So, we are going to say that this hypothesis class H is learnable if my regret is sub linear. And what is the definition of sub linear? If you are going to divide this quantity the regret H R A H by N by N and let N go to infinity this goes to 0 ok. What is that ratio telling R A divided by N? So, R A is was regret over N round right. When you divide it by N that is regret per round. If you are learning that means, you are if you are figuring out which is the best hypothesis in your hypothesis class you should be eventually make lesser and lesser mistakes right. And you should be start doing as good the best hypothesis class in your hypothesis class would have done. If you do this you should be incurring kind of the same amount of mistakes that the best hypothesis class in your hypothesis class has made. Because of that maybe as for some N this could be some some some finite number, but if you are going to start looking at that difference beyond some number that should be smaller right ok. Let us say this is for N right. Let us split it into two parts. I am going to now take this N as N 1 plus N 2 first N 1 rounds and subsequent N 2 N 2 rounds. Maybe the initial N rounds you do not have any clue what is happening it will be some making mistakes, but you are kind of figuring out what is happening. But later in the next N 2 rounds you have kind of figured out what is happening you you expect yourself to make lesser mistakes right. And maybe like after further rounds you expect to make lesser and lesser mistakes. Because of that if you look into this summation here maybe for the first N terms this is some number. But in the next N 2 rounds you expect this difference to shrink and also further shrink right as N goes. So, that is why if you are really doing figuring your algorithm is smart and it is figuring out what is happening it is eventually going to as N increases later in the subsequent part it is not going to incur too much of penalty here. It will be doing as good as the best hypothesis class in your algorithm would have done. So, because of that we if this condition holds like you will see in this case you are on an average when N is large you are doing as good as your best hypothesis in your hypothesis class would have done. Is that do you understand like by letting this N go to infinity this going to 0 it exactly means that. So, this is why we call if this condition holds this hypothesis class is learnable. Because if you give me sufficient number of rounds I am kind of figuring out what is the best hypothesis and I am incurring lesser and lesser mistakes ok. So, you will see like as I said you will be seeing different notions of regret as we go along this course. Now, we are our next step is to see what kind of bounds we can give on this what kind of guarantees we can give and always we will ask the question is this the best guarantee I can give ok like the way we did it for the realizable case. So, note that this if I can come up with an algorithm a such that this condition holds then called learnable fine.


What's going on everyone Sam here with late in sports cards, and I'm ripping one box of 2021 22 Put any prism basketball for Chris M. So good luck Chris see we got in here. Let me just double check Not first off the line made that mistake once not gonna do that again Here we go See a big auto see some big color come out of this. That's what I want to see So I won't be sleeving every single thing All the big stuff will get sleeved like I'll sleep all the big color and autos and stuff But we'll put most of the stuff to the side for now Luca go bear. I have to sumu base rookie got Lonnie Walker on the Pulsar won per box nice Lonnie Got Wendell Carter, Jr. Blue ice to 125 magic got fireworks and bead base K99 or Lower that's got Scotty Barnes rookie. There we go nice one on the Scotty Got Red Wave Josh Jackson Roy Hachimara purple ice the 149 wizards got Donovan Mitchell base on the back there Love to see a kid in 199 or lower. That'd be so sick Be all in on that one John and Kaminga base rookie nice Tomorrow I got Jason Tatum silver Celtics Doug McDermott on the hyper Prismatic Yannis base Jared Butler rookie Denny of Dia blue That is to 199 116 out of 199 wizards Russ fireworks base Usman Garuba rookie Moses Moody base rookie Warriors, there's scary Terry silver prismatic silver jaw Ben Wallace on the fearless base Pretty good got Jason Preston Alfred Shengun got Nicola Vusevich nice Josh giddy on the hyper rookie. There we go. Nice one there Heck yeah, and base. It was a widescreen of dame Take a giddy for sure. That's nice Mojo of the mojo for a second Jalen Johnson base got an orange here Jordan pool orange Gary Trent Jr. for the Raptors Nice, how about a flashback auto Carl Anthony Towns? Nice hit there hack. Yeah, let's go the 2012 flashback Yeah, and these are not numbered sick insert on on the cat though. Yeah, I do Gucci.  I will make next time. I see rich I'll 100% ask him that sounds like it would be entertaining I say livers down obiton on the rookies got dream on green silver That is Luca got Lori Mark and in on the sensational signatures calves weird seeing him as a Cavalier Two vet autos in this and base Clay Thompson red wave and Patrick Ewing hyper fireworks ant-man base I never know that'd be cool if they didn't give us an extra would not hate that Jeremiah Robinson Earl base rookie Jalen Green base rookie there you go Nice one there Rockets there is basely how many Diallo on the red wave and hyper fearless on the Devon Booker Shreve Cooper Cam Thomas cut what wings easy on the silver nice bones Highland on the purple to 99 Definitely not centered a off-centered top to bottom, but still a nice card 75 years IT There you go Gucci. Yeah, you're looking more for for color and prism for sure Oh, like a good auto is a nice bonus though more or less David Johnson base That's silver will got nice red LeBron James. There we go That is 119 out of 299 We'll take some LeBron color God Darren Fox and base that'll do it for your break there Chris Congrats on all the hits. We'll get them right out Yeah, thanks again, buddy