years time that happens and george online is still alive and actually, you know Well, yeah, yeah, nothing's killed him yet It's still gonna be bad even regardless of the if the books ever like answered like, you know Oh, this is how it should have happened, you know It does one of the nightmare will that would be if the books acted as like attempting to fix the show Yeah, and if the two books do come out in the next 10 years and they Answer all the bullshit and they and you know and it ends spectacularly like all the loose ends are finally Done and dusted which we know is never gonna happen.     Are you ever again?  It's not um Hey, it goes the same as house of cards. It's like do I want to watch you can watch season one and two and then pretend It ends. That's the best you got Yeah, well, well, yeah, and to be fair with that that almost concludes well because when he becomes president That's kind of where I thought it would have should have ended on a good point or on a high but It was interesting to see how well how frank's Presidency went on but they well they didn't think about that.   It's like oh head gave was like super successful and satisfying for fans still going strong And that's again a very very interesting way To look at it because it's true A lot of people out there We're I think hoping you can say that I watched it a couple times. I felt they ended it Decently Decently what a what a That's a very mundane uh take there That's like If you've seen all the cast who are or who are criticizing the critics, they don't say that it was good They say oh the people worked so hard to make this last season It's funny when you hear them say like the production people the actors the blah blah blah blah And we're all we're nodding along and then they go the writers and we're like, whoa Whoa, okay. Well, let's not get carried away. The sets were great. But let's Not not every one of my wish fulfillment moments were hit in fact probably none of my wish fulfillment Oh, apparently chat is back now Uh, let me try to log in and I can log in. Oh We're back in boys. Oh, but you're not you're not showing live now. We're doing it. We're doing it. We're doing it. Yeah Let me refresh again.  But I'll be like, well Well chat is live. I can see people coming in but I don't know. Well, obviously we don't know if everyone is back Well, I can I can see that I I was just able to log in Oh, no, it is all working. I'm just saying like, you know Unless everyone in chat answers. We don't know if they're all back. Do we? No, yeah I'll just we'll just I'll mention it. Hopefully you guys can get back into chat if you can't it's fine We'll carry on. It's okay. He's very in line with the rest of the series And I feel that they let they gave us an ending. No, no wait. No No, wait a minute. First of all, it's like the whole the ending was not bittersweet.  Okay The exception of getting killed everyone got a happy ending. Oh, right. Well I don't know if john got a happy ending. You seem kind of like meh about the whole thing Ago and go off to live in the wild worse with his wildling friends Sansa definitely got what she wanted.  It just creates more problems down the road You know when they killed ned it didn't just solve the problem of the north It caused all the war to happen. It caused all these problems to happen And that's the difference in the later uh seasons of game of thrones It's like when thirsty kills all the tyrells in the church Nothing happens after it. She just wins. Oh, yeah, dude They've that that's well into the problems of the the show coming to a head when it's just like no There's no repercussions for anything anymore. People things just happen Do you love by the way that the north separates itself from the kingdoms and yet the south somehow have Dominion over the the night's watch and can make people go there.   What what happened to the Dothraki?  So That's just kind of what I think so what about when we start really breaking it down and And people go out there and start polling people well According to this hollywood reporter poll here the most game of thrones viewers actually liked the Tell the point of this video is to be like hey, man Uh, yeah, it was actually good. You guys are wrong people liked it though.  The ending despite the online outrage now The reason why this is an interesting subject to cover is because I was watching midnight sedges Kind of video about the future of of db Weiss and david benioff and and going into star wars and if that's gonna Hurt more game of thrones shows on hbo and he had made it getting them away from game of thrones is the absolute best Thing you can do for game of thrones right now Yeah, I think but now they're gonna be in star wars Well, do you think star wars can be murdered further than it already has I guess Yeah, what's a good point? What are you predicting in the next 10 years from star wars? I don't predict. I think good No, um, but well, this is so this is the things like it could can the next predator film be as bad as the predator Al what do you reckon?  You know what? Surely the next one will actually be better.  That's all this all seems to be the plan these days Yeah, I can't really say anything how they could make a quote-unquote worse Game of Thrones can go well can get further worse as opposed, but I don't know A comment this would be Andre made a comment about how uh, no one liked the finale But the poll here and this is from the Hollywood report. No, okay Anyone anyone who said no one liked the finale is obviously being hyperbolic Yeah, right Duh, but the Hollywood poll said The scientific poll Look, I'm not gonna come up with any arguments of my own here I'm just gonna say that a bunch of people in Hollywood said they liked it. The thing is yeah My whole family right they ripped into episode six the Hollywood production Uh My whole family when rewatching that season they loved the first two episodes They thought three and four were and then five and six were like bad And if you would ask them from the moment they finished it Did you like it? They probably would have been like, uh, yeah, I guess I had fun You know entertaining But if you had talked to them for five seconds about what they actually thought of what happened in the episodes They'd be telling you everything that's wrong with it.   Actually. Yeah, thinking about it. I'm not so So like the idea that you took a random poll and the answers were yes or no So did you like it's like what does this even tell you? Fucking useless Suggest it's absolutely otherwise According to this it says in the wake of game of thrones finale on sunday the narrative surrounding the night was Oh, man. Oh, man. I just read I just read ahead The survey was comprised of 2000 There we go. So well done, man. Well done. How many people watch this again different ages genders and ethnicities Were there any dwarves in there like giant war?   Still love it still love it. Like this is a show that gets gets passes because of its past glory And yet they still got to this result in the end. It's like, whoa I'm sorry.  I'm gonna quickly look at that. Is there some argument for why it's good, you know I think the point of this video is to reveal to the world. It turns out not everyone hates it It's like, yeah, we know that.  We allowed minority. That's all it is. Yeah So he was looking for this poll basically. He's like, where's the one poll that shows more people liked game of thrones? Yeah Thousand polls that do the reverse Yeah, there we go. So um The finale had Well live view count was something like 14 million tv viewers and that's the people the live count And that's for people. Well, that's for people, you know, who pay the hbo and watch it on that and then just watch it off a stream Yeah, the people who have a financially invested interest in the show might have a more Well, two thousand people from hollywood said that uh, yeah, they uh, they they they were sort of okay with it What gave it away to me that everyone hates it? Like hyperbolically is that like every video assayist that I follow has made a video on game of thrones saying it's terrible Like usually like tlj for example There was a 50 50 split with uh, like most mcu movies everyone will put out videos saying, you know what?  She was like the darkness makes it so that the zombies are covered up So good. Also, hang on Can I I don't want to quickly skip back set because keep in mind that number two thousand two hundred Yeah, where was uh, there we go user reign. Yeah, you go.   I didn't I didn't make a reference to where I skipped it back to I I didn't want I will just jump the fate of their favorite character. Can we take a stab? I feel like 10 minutes in the future times. I felt like Not long and start polling people. Well according to this Hollywood reporter poll here The most Game of Thrones viewers actually liked the ending despite the online outrage Now the reason why this is an interesting subject to cover is because I was watching midnight sedges Kind of video about the future of of db Weiss and david benioff and and going into star wars and if that's gonna Hurt more game of thrones shows on hbo and he had made a comment This would be andre made a comment about how uh, no one liked the finale But the poll here This is from the hollywood report. It turns out that literally isn't true Someone out there. This man was wrong. That person is me I liked it. So you are wrong. Oh, you have you have the ron tomatoes majority of people overwhelming Don't like it. I am d i am db majority people don't like it. What this one poll But it's not just that but this one The way he emphasized it as well. Like he's like, this is my drum card. Here we go. This scientific poll I found Yeah Porter Suggests absolutely otherwise According to this it says in the wake of game of thrones finale on sunday the narrator hang on a minute He said absolutely otherwise. So everyone liked it. Is that the case? It turns out we were wrong the whole time Surrounding the night was Was the phrase divisive But how did the series ending episode actually play with most viewers? Opinions were mixed a new study finds some 26 percent of viewers who watched the final episode Reply that they liked the finale a lot. Did you notice? I guess there's probably a mistake But he said a new study finds it's a new survey a new study It's a study with connotation different game of thrones audience Watch their eyes By nasa has concluded What best men Oh, so what did the the efab podcast chat said haven't more and crew dismissed rotten tomatoes review before? Yes Uh, we don't really care what they say But um if he's going to be citing 2000 adults have said this Therefore the statement of blah blah blah is wrong.  It doesn't matter if the majority people like something That doesn't mean it's good, but but matt's the one using that argument in the first Yeah, if we're specifically talking about how many people liked or disliked it Then rotten tomatoes will be kind of useful to an extent.    I've got the evidence. This is it. I've cracked it I'm actually Where's he going 63 from? Oh, so it's the 26 plus the 37. Yeah Right. Yeah, so so 572 people said they liked it a lot So let's just say that they gave it like an 8 hour 10 or 10 hour 10 Yeah, and then further by another 37 went. Ah, yeah, you know, I liked it.  Come on, man Come on Well, 37 percent liked it some 24 didn't really like it and 10 didn't like it at all According to a new hollywood reporter morning console poll The survey was comprised of 2,200 adults of different ages genders and if not the Ethnicities whom exhibited varying degrees of fandom and tv viewing habits now granted that is a small sample size of only 2,200 people But yeah, no, but there's no but But no These people do this kind of studies and surveys quite often and again, I think they must know what they're talking about What is them having to do it often having to do with the number? I don't want to drag it. I don't drag in politics, but the polls are always right. Am I right guys? The polls are always right The numbers always reflect reality Like I said, people would be much more inclined to just say, yeah, I liked it Even if they really didn't there and you could say like, oh, well, how'd you know that? How'd you know it's not the reverse?  Fine.  I don't even know what the point of this is More like the film. So, you know, I don't have to make an argument.  What like what show Matt tell me why this is way more valid than everything that I've been exposed to so far This poll used a range of a different ages genders and ethnicities. It wasn't just all white men. There we go, right? I see I see fear you might start to find that that 37 percent of liked it a bit Is probably more in line with where things are across the board if we were to kind of put it all together in a pot Mix it around and then see we extrapolate this and now that's your conclusion. Great job.  You guys agree. Okay cool. Cool. Cool. Cool. Six strips Satellite. Okay, so you guys So if we agree with my my perspective on it. Yeah, everyone else follows this tune Hey, man, they specified their different ages genders and ethnicities, which means this the fairest take And varying degrees of fandom and tv viewing habits. So that's like so all these 2,201 people not all of them. Well We don't even know who has read the books We don't even know who has watched the whole show because I have met people who watch tv shows And don't bob and if they didn't start watching it from season one, they don't go back to start it I have talked to people who do generally just skip ahead. Yeah in fairness. We were watching episode two No, I think it was episode one and like I think I was watching it with Yes, I was watching it with emin for tear and I believe they can correct me if I'm wrong here, but I believe when um When he he says, uh, he's of house tali sam does I was immediately like, oh, shit because I was like, yeah, she kills his brother and father and the two of them were like What why does that matter? And you know, it's the kind of thing where it's like, yeah A lot of fans aren't even aware of Why season eight is so bad because they might not even remember what information is being contradicted Like, you know, jamie lannister saying I never cared about instant people a lot of people might have been like Yeah, that's fine. Yeah, they might they might have literally forgotten that he lost a hand Because he didn't well because he cared about somebody other than his family, but whatever. Yeah It's happens. So that's why that's why when you give it time and they're exposed to these arguments it gets worse This is it. Yeah, all the people that were asked.  That was cool Well, I actually I I found the survey and it's actually it's much worse than you think Oh, no Because the the first question to survey is do you consider and oh, yeah, let me I'll put it in there thing says Do you consider yourself a fan of the television show game of thrones and only 22 responded? Yes, what?  That's the first question. They asked 22 percent Didn't even know I gotta get this on the screen. That's amazing No, so it's so when they asked the people whether they'd like to finale they weren't even asking the full 2000 It was only a sample size of 314 people.  We can trust them guys I love how do you know what's dumb? I actually trusted that what he presented this thing as was 100% the way it is Like I was like He wasn't missed.  No, no, no. Oh my god Well, he probably just he probably just never clicked on the link. He just took the article's word for you. Well, yeah That's yeah, we we shouldn't assume maliciousness.  Okay, listen this is um Okay Did you watch the game of thrones series finale on sunday may 19th Know that there will be potential spoilers for the show if you answer that you watched it all right Um 37% said no, I didn't watch it Yeah, 11 only 257 people watched all of it. Yeah only 257 people said they watched all of it That's that's half only half the people watched the last episode Yeah, how can you make a judgment? From this and so well here if we take question hr3 and then hr4 hr4 is did you like it? So we have to we're I'm only counting. Yes. I watched all of it people So let's take the 207 no, let me pull out the calculator Which I don't have on the taskbar for this new computer and oh, no So let's take let me do the math here. So Yes, I liked it a lot 81. Yes. I liked it some 117 What to make it quick? He's taking 63 percent from 314 Plus 117 All right, so that means 198 So 75 I'm not let's see. So let's take divided by two This shows that 77 percent of the people who actually watched it liked it But that's but that's including. Yes. I liked it a lot and yes. I liked it some But there's seven with no opinion 77 no, I didn't really like it at all and no, I didn't like it Yeah, that's sorry. Right. Right. Yeah, so Of the so at that question at hr4 314 people were asked that question because they were the ones who had actually watched it the whole final. Yeah and of that 314 213 or 214 of them said that yeah, I like some of it I was just going through the people who watched all of it So, yeah, the number will be worse for you because I I didn't factor in the people who just watched some of it Which is 57 Oh, this this yeah So that's why my number came up look at the way they ask these questions hr7 underscore 3 Where any of the following major or minor reasons why you didn't like game of thrones series finale? John snow did not become keg. It's like a major reason 56 percent It might a reason 20. It's like a little weird way to answer these questions I know apart from that. Can we just put the bed right? Of the 63 percent that he's quoting. He is quoting less than 300 people He is quoting less than 300 people in his definitive.   I'm gonna I'm getting too pissed off Sitch himself pointed out in the middle of the stream like what I don't want to take you Sitch while five seconds to google and click the article and go into the gdf I mean, it's in the article. He's he's reading. There's a link to it in the article Yeah, yeah, yeah, and we've just proven it in five minutes and also a lot longer hr8 underscore 1 Do any of the following describe how you feel about game of thrones series finale satisfied? Literally 49 percent of people said it describes how they feel about the finale So 51 said no it is basically no, I don't feel 51 percent were either unsure or unsatisfied. It's like That's bad. Yeah, that's That's really bad Well, it says 47 percent of people that didn't like it didn't like it because they thought the writing was bad 58 percent of people said disappointed Yeah How do how does this help his argument at all? This is the worst they definitely yeah when when they when it says satisfied that didn't that we just did that happy Only 36 36 percent of people said they were happy with it This seems like the most roundabout way to ask people questions that I've ever seen Oh in the next one after that uh sad 48 percent said sad And the rest were no or I don't know So the highest of these numbers basically the amount of people who are sad is the same as he felt satisfied and but and again, this is only from the 314. So that's such a tiny little sample size This is completely worthless. This look at this random question is also thrown in dude As as you may know, there are several major plot lines from a song of ice and fire book series That did not make it into hbo's game of thrones series of the following Which do you think most represent most wish was represented in the show? Please select all that apply young griff slash agon. I'm sitting here like You can't ask these people this question. There's people who read the books who are like I'm not even 100% sure of what you're trying to say with that question Okay, what I think is interesting here Is that hr 8 underscore 5? Do any of the following describe how you feel about game of thrones series disappointed? So if we're taken this 13 for uh, sorry 314 sample size The biggest number that we have so far is people who felt disappointed by it Yeah, but let's just not talk about that Oh, oh my god, we're just we're about to have me magic here. We're about to have me magic here. All right hr 8 underscore 8 Do any of the following describe how you feel about the game of thrones series finale bored?  That's the biggest return On this.  Oh, yeah Yeah, you're right.  Can we see if we can get more than what was it 2,200 and something? Votes, yeah, if we can do that, we can if you can post it into the chat I my chat still I did try I did try but it graze it out. I think I'm allowed to send links I was the first one to vote Let me a sec If you go share it, I don't know All right, I am I can spam it. Here goes Is that showing up for you guys? There we go Click and vote Right right beat me. I'll beat you to it Vote in the straw poll Come along now. We got our first. We got our first. There we go. Numbers of movie.  We got 200 votes Come on. We got to get up. We got 300 votes We are come on.    Come on It's still going. I got seven hundred and fifteen Seven hundred and fifty people now All right person who's listening to this put it on twitter put it on twitter moller There's a person who's listening to this right now who's not getting involved You need to get involved. Okay, just just quickly vote. We need we got to get this Anything for efap in your entire life. How would it be this get it past two thousand two hundred? There's apparently three thousand seven hundred people watching so we should be able to pull it off I'll pop it on twitter now Yeah, don't do anything.  Please if you don't vote then the big midgets win And the vision trannies don't forget the vision All right, we're at nine hundred I'm gonna put a tweet out in a sec. We have sixteen troll votes.  I feel like we're watching a submarine film and we're just watching the meteor I climbed down, you know one thousand meters 1100 meters I was staying out of it till that comment. That's why I made it boy Okay, we've we've crossed a thousand we're at a thousand fifty Oh 19 people are wrong 19 people 19 people missed the no button. That's all right Found to happen I'm pretty sure I did take the ip checker So I think if you want to vote again, you'll have to vpn it I think or maybe no don't You don't have to this is a scientific poll. Yes. We can't skew the results Sorry, I'm sorry. I'm sorry. I'm sorry. I forgot.  So American Should we watch the rest of that? Yeah, let's go to the let's uh, we'll have to yeah We'll have to push this in a bit when we maybe cycle so I want to show you guys We'll come back. Yeah, I'll put it in chat every once in a while Here we go Who's already found it? Uh, yeah, so this is the tweet that I did. Do you like my hashtags? Hashtag jarbo survey Surveys for the wind There you go people, this is my tweet for it. You can find it and we will get this past 2200 that's all we gotta do I'm sure all of you are various ages genders made up words and other things you know, so But we will get our diversity quota.  He gets you know, he's He's my anger therapy right now He's show monday matt is just look man. He teaches us don't do it for the money or the fame Or for the audience do it because you love it. Do it for some reason Question becomes whether or not the backlash to the show to the finale will have any any Hang on. Oh, yeah. Oh, sorry. This is a bit of a dip pick the saviors comprised of 2,201 adults of different ages like so They weren't all the same age I just I find it amusing to be like adults of different ages. It's like what did adults just because they were assuming they're all the exact same We tried to get all 37 year olds Any problem or any impact on the future of whether or not these people go and watch A den and dave star wars movie well according to this They also asked them that If they would continue to watch the work of david benioff and dby some responders were asked Does the involvement of the creators of hbo series game of thrones?  What's the sample size for the question he asked Should we find this one the game here? Let me just uh f star wars um Yeah, maybe just David. Okay, here we go. So more like so this was only Which hr is it? It looks like this was looks like this was the entire sample size of 2000 um Yeah, it's hr 15. Okay So hr 15 because you can control f search for star wars.  Jesus christ.   We're going on the internet Tended to like the work of dan and dave more so than not by at least 2 percent. However 69 percent of the responders answers that the finale makes no difference to them For the duo star wars future indicating that the writers will move forward Well, if you actually read the study, you know, that's because 69% of those people didn't see the finale of game of throng Oh my god And what a question you know if I said to like the people I watched it with like family members and stuff If I said does the involvement of the creators of the hbo series game of thrones make you more or less likely to see the upcoming star wars movie installment I imagine most of my family have been like I don't really care Like the people don't typically care that much like critics do Because we're really invested in stories being not terrible But your average movie go over. We're like, are they working on it? I don't okay I don't know. Yeah, and like what tends to happen is they manipulate like, um Mortal engines where they were like, oh from the from the creators of lord of the rings and it's like, yeah Peter Jackson might produce that you didn't direct it, but yeah, because that really was shit Well, yeah, and that's it that that they were misleading wouldn't they because they were going, oh, look And Peter Jackson's name right on the front Peter Jackson That would be good. Nope Exactly it's like for the for the average audience. Yeah, like they might be familiar with uh, certain directors But they're not going to be familiar with these writers Is that they're Peter Jackson?     Like no, no, no not at all and you're like, oh, right.  Uh, it's something what do they do that was good I don't always do but I do feel that is the best x-men origins. Whoa Yes missing please What's interesting too is that I I've been tracing around this survey. Um, six percent of the people who uh answered this survey Not a fan of tv 11% of them not a fan of movies what the yeah, so I mean, I mean, I mean the the poll was definitely Open-minded and who asked 42 of people not subscribed to hb 4% never even heard of hb Some of these people have never even read or watched this show so How do you unironically run this test like as if it's gonna tell you anything It's amazing Like did he did he like say that like these guys are good at their polls like they know what they're doing Well, he led he led into this like he led into this like, you know with like, you know Authority that you know these people have like, you know, they've done their work they you know It is I don't think he said well, yeah, he didn't say definitively anything that he he's just How he said it I suppose Of course of action. So here you have it new studies new surveys Majority of people enjoyed the finale. You cannot say that Just so let's let's let's give him the let us steal steal. Let us the lyrian steel man his argument. All right Let's say That 63 of people enjoyed it. That is awful I'm waiting for that's terrible.   Oh, no of the 340 that voted are said so some of them may not even have tvs It's not confirmed It was too dark on my phone For what it was or at least liked it some more so than didn't like it at all or outright hated it It just goes to show you that fan backlash.  Yes, 63. That's like a d. That's terrible If you make a you make a youtube video and 73 of your audience liked it.  Lostry.   Hang on It's lost me. Oh, yeah Wait, and this is it the poll is not regarding the season. Well, it's not regarding the pilot episode of the show So like, you know people like, I don't know. I thought I thought it was all right Everyone who watched the season for the last episode are fans, right? Nobody unless they're like, you know got a spouse or whatever who's been dragged along to watch it Nobody's watching this because they are not interested.   No, but such we're literally doing more work than matt did in his video Yeah, I mean he sat in front of his webcam.  Yep The first response on twitter for the survey is I love democracy We're at 1750 it looks like when he was listening and unaware you need to vote on this important poll survey to decide The public's view a unbiased public view of game of thrones finale. We need to know Uh preferably people who have any idea of what game of thrones even is and have seen the show, but it's not necessary That's not necessary at all. You can still vote Yeah, do me a favor if you did like it. Don't vote just Even if you haven't seen the show.  You're just as informed as the people If you have a tv you're probably more informed than some of them if you're a suspiciously large amount of women don't vote It's a it's a big tell of something something shady is going on I need a few more females. I mean somebody in disco did say that they're trans So I did thank them for their contribution to enrich in the poll. Oh They have instantly made my argument much more stronger because somebody else has said so or agreed to me one trans person sounds suspicious Are there any dwarves in chat?   You got no fucking.     I don't think you could have made an episode that nobody would have liked I honestly think that's practically impossible.  There was like, oh my god. Do you get it? It's like a commentary on how Everybody like none of it mattered everybody was just a candle in the wind and they they melted under the the heat of the No, I got nothing The whole episode could have literally been dnd in a white room shitting on the floor Flicking off the audience. Don't you sound like genius It's a so much meaning But it was supposed to be terrible Definitely in definite situations where the fan outright does have an impact in that Obviously is clear with let's say the last jedi or ghostbusters You know, obviously it had no impact on captain marvel. You have to take it on a case by case What do you mean? It's obviously had no impact on captain marvel.  Therefore, it never could have made more money Then it did also didn't wasn't there a rumor that they had two different cuts of finity of end game And one had more captain marvel won less and if we got the one with more in it, I'd be fucking surprised No, we definitely got the one with less because they they literally have her say in the movie I must go now Yeah, I must go now and we were like good We will see you later Much much much later, but preferably never. Yeah, so the scholar wishes Oh, I was gonna say I've heard this before so you go off fan fan backlash didn't work on captain marvel because captain marvel's still made Over a billion dollars and I'm just like imagine how much it could have made if everyone loved it Imagine how ready we get to see how the next one.  I honestly actually did I was smart enough not to go see that. Yeah We're talking like first 10 minutes.  I hope it's still going We gotta get this we're so close to getting this poll to where it needs to be Well with 40 votes away from 2000s. We needed that guys. 40 heroes.  Yeah, just say like did you like the season 8 finale of the cheers? Just ask asking your server and then report back to us I always like season 8 finale of what it's like. It doesn't matter. Just add to the poll I always regret I kind of wish I put better options in it at this point What I want Oh, you know, it's like, uh, well, you know like compared it to um, yes, no turnip Well, no, no, no, I mean like made it more like um, hollywood reporters Yes, I liked it. No, I didn't like it or yeah, I like some of it. Whatever, you know, I did not watch it I don't know what a tv is Just so that if I made it like you're completely on same even terms as matt is trying to argue whether or not This is good or bad. I would use that and then just go, you know, boom. It's a yeah, this is way fun.  Listen if you didn't like game of thrones series Oh, that's entirely fine.     We're like a hundred away Everyone is entitled to their own opinions What I find to be fascinating about this is ultimately that a lot of people out there are trying to run on hyperbole That everyone loved it or everyone. Well, no one's saying everyone loved it. But yeah, no one's saying that Yeah, people aren't even gonna make that hyperbole statement No, reality has been twisted that bad. Yeah So guys like everyone loved it. He just looks around. He's like, okay. No, okay Everyone hated it when we can see here that that's simply not the case And so it is just kind of a case study You made a whole video to say that not everyone hates game of thrones season 8 And he wasn't even right I Well, yeah Isn't he making like some of like free videos a day like kind of yeah If you shit them out this quick, this is like this is no shock I'm not surprised one bit. This is the kind of quality of it like where we as I mentioned earlier like we are three buck theater Um, we we unraveled it's like three second theater.  Oh, you know game of thrones can be good might be bad. Don't know 200 people see that's not bad So in the last um so in the last day one two three four five six seven there are seven videos that say a day ago or sooner Damn Um, the most popular one is that 2.5 thousand views his first um So let me go to his main channel matt jarbo best surname ever Uh one so he made a video 18 hours about pokemon themed weddings in japan And one two one two three four No, he six he didn't make a main channel video until six days ago And he made like three or four or five of them the hollywood reporter size was 2,201 hours is 2,217 and counting We did it guys. We did it. Yeah And also, I know some people in chat have pointed out that obviously this is very biased based on who we're asking This is entirely scientific multi-gendered multi-racial multi-species poll. We confirmed a giant dwarf There was a trans there was a female. There's loads in the chat I break the four four guys.  This is All righty. Well, I have screen-shotted the poll at 2,227 Just at matt jarbo Because somebody please correct the title so No, according to this new poll from efap.com It looks like 85 of people did not like the season 8 finale and 12% Were not happy to answer The question I won't kind of make this video Gonna make a poll this get the big old poll Going to monday max channel. I'm trying to find a video that has breached the 75 the magic 75 number percent upvote number. I have yet to find one and right now I'm at two months ago So I'm gonna get where's the further back you go because you'll find the the the dark time where he Yeah Finally a hate crime gets punnet. Uh, let me see Yeah, I can't I legit can't actually find any I got a 68 percent here That was three months ago People hate him. Why does he keep doing this? Because he has things to say Oh, here we go 79 percent. Um It's it's a very very this is one of his more popular videos at 8 000 views But he got a 79 percent on it. So that's pretty uh, pretty fucking impressive Oh And to see that maybe not everyone feels the same way But my my point on this one is is there a potential way to come to a middle ground perspective? and Have a conversation about what was good what was bad without it turning into a tribalistic situation Let's examine that So is If just because so this isn't about tribes, right? This is about there are all sorts of people of all sorts of different races nationalities genders whatever is bubble blossom hate it Same thing a lot of people loved it a lot of people hated it, right? We can talk about it, right? We can talk about it That doesn't mean that we have to give up what we think to talk about it Like we don't have to abandon the reasons that we have if we have to abandon reasons that we have For why it's terrible just to meet people in the middle and talk about it.    Great. Great It's like, how about you just go in with what you believe and then through the discussion You find out who's the most correct or who can justify their position the best And that will influence what people think about it That's how discussions work. And you know what to prove that ours was unbiased. We even had people voting. Yes So How could it be biased if people voted yes for all this argument? In fact, I would say that everyone voted yes Yes That's one that's another that was another vote right there That was another one and I feel that in the case of the internet that's kind of woefully impossible But that's this is of course. This is coming from the lens of Monday mat. So I've had I've had great luck with that myself. I think it works wonderful, but I'm not Monday mat Again, my thoughts, what are yours? Let me know down in the comments below How we did you one better?  You don't help with the conversation either last video We watched I don't know which one came first or which one came out in which order Oh, it was this one was after the previous Right, right. You you blame george.  Is that helping the conversation is it's not creating tribes or like, you know more divinity division between people Did you end the show in the last video where he just said blame george? He said it was he said that ultimately it was george rr martin's fault Yeah, so he wasn't even saying it was good. He was just saying it was george. Well, interestingly, he said if you think it's bad You have george to blame and then he went on to say that lots of it was good So my count was like, so do you think it's george's work? That is why it's good because What does deans have to do with this shitty content creator who can't formulate his ideas and clear and concise manner And give them to an audience that would that's ridiculous This is only a hypothesis but Let's do a study An extensive nasa study, okay But i'm glad we got the conclusion um everyone hated game of thrones season eight everyone every single person And you can quote me on that and maybe one day matt will make a video saying i was wrong to say such a thing You'll have to reference my study Below and i'll talk to you guys later have yourself a great day and peace out Hey, thank you so much for watching the video I thought you were gone.  I can't take it Um So at this point I think are we at four? I have no idea how long we've been streaming because uh four hours says started streaming four hours ago We started my time. We started 5 40 and it's currently 10. So we've been going so it's been about four hours 20 minutes Since we started I think assuming i'm allowed to buy youtube is time to start reading the old super chats because That's that was a shit ton of fun getting through those three Water to yeah crimes against youtube I was gonna say are you gonna while you want to start now with the super chats? Uh, well unless there's anything anyone wants to talk about Uh, no, i'm just gonna i'm gonna bow out uh Work tomorrow Oh, sure. Yeah But yeah, that's being great guys, um I'm I gotta calm down for a bit now because I'm like my blood pressure's gone for the roof Watch it matt But it's been fun and it's nice talking to you or talking to you all rather But yeah, and you will make content eventually that I can promote, right? Yes One day I I will show up more and uh, yeah, we have too many guests on efeb that I like that We're like friggy make some content.  I can't access the super chats part of youtube right now Oh Every time I do it it disables it and says something's gone wrong No, take care anyway guys, sir. I'm off. Yeah. Um, huh the You can't go to the community the community monetization. No, every time I do it says, sorry something went wrong.  Um, hmm Yeah Also, I was I was gonna say one solution is that we have a chat for a little bit Then we stop and then I I stream at some point maybe tomorrow Maybe with rags and we just go through the super chats then I'll be around and we'll just I'll put it up on on the mula channel as a sort of, uh bonus video because get your own special episode with We will have special content there That you can only get on the super chat episodes. We're gonna have an e-fap super chat. It'll be color coded I'm not gonna make him do that Yeah, I mean do you want to we we could just chat for a bit about whatever. Um, how's life on youtube? Everyone, how's it going? There you go see I guess you guys Sitch, how did you get started on youtube tell your story? And that's boring. You don't want to hear that story.  I have a question Okay, because I didn't I never saw your your end game video because you made it before I saw the movie I made an end game. Did you Didn't you do a uh, uh, infinity war He did one for an infinity war. Oh, you haven't talked about end game at all. We did a podcast friend. We did an e-fap. Yeah That's what I meant. Oh, okay. Yeah. Yeah. Yeah Um, did you did you like it because I felt like it was it had a pretty big structural problem in it compared to the first avengers The fit in that you mean compared to infinity war or literally the first event into the infinity war. Mm-hmm Uh, I thought infinity war was better than end game objectively speaking like a structurally inconsistently Yeah, because if I don't I felt like it was it was a they it was a poor decision because they go back in time and They get all the stones And then it's like, okay. Well, they solve the problem. They solve the conflict of the movie They bring everyone back to life and it's like, oh, but then also then it shows up at the end and you got to fight them again Yeah, it's like shouldn't the conflict have been no no no Thanos goes back in time and gets the stones and you have to defeat him to solve the conflict of the original movie I think it was a missed opportunity to not have them fight modern Thanos because he was so much more interesting than Younger thanos and it's mainly because not only is I way prefer the attitude of Modern thanos if you call him that but I also like the connection he has to the avengers at that point Um, and again, it's not like I hated what we got. I just like I was like, oh I would really kind of have been better.  He was like just evil He kind of lost the depth of his character. Well, he certainly He became indefensible when he said, um, okay, you guys are always going to screw it up I'm just going to nuke the universe and start from scratch. It's like wow Well, it's like, oh, we have to raise the stakes because they already solved the problem So they have to go like one step further. Oh, okay.  No Brie Larson said that right Brie Larson said that yeah Is that confirmed because if so that's like No, that's probably her just saying I don't think they can confirm it because in the continuity we've got now Yulnia is destroyed so We're not gonna she's not gonna have a chance to I hope in the head.   Yeah, that ain't that ain't happening.  I'll be there. I'll be there. I'll watch it when it comes out because I'm fascinated by the idea of Making a movie where they're like, all right Opening of the movie she gets shot in the face with some kind of thing and it just loses all her powers I don't know that she has to learn that her power isn't her and she's more than her power And she's like, yeah, you should have done this in the first movie, but okay Because where else can they go other than her just destroying everything again Like I'd actually like it if they went villain mode with her, but I don't think she'd like it No way No way People were saying that for ray too. They're like, oh, they're gonna totally make ray the villain Yeah, ray come on when she's choosing whether or not to join kylo. I remember watching it be like, why would she Yeah, why first off? Why is she even here at all? But also why would she swap sides? Like the idea that is so tension for whether or not she'll do it I just want to ask people. It's like what reason would she have to do that? It's like uh end the war.  We shouldn't talk about star wars.  It's like, uh Why are we talking about marvel movies star wars is coming out to me? We're talking about star wars. Uh Something's coming out soon. There is that Another thing is going to come out in the future that boy who got bitten by a radioactive spider who became a trans spider I believe that's a pretty cool. Oh a rack. No boy a rack a rack kid It was really poorly named Um Yeah, you know, I may as well do it uh right now because no better time than ever Do you want to talk a bit about your channel in general sit so I can promote you and tell people to subscribe? Uh, I started off For some reason making political content, which was probably a mistake in the long run. It worked out for some people It worked out for some I feel like I feel like this is the way like you you do successful in in politics You have to pick a side you have to say, okay, I'm firmly on the left or the right I don't think people want this wishy washy moderate bs But that's just my I think it's less left or right and more like social justice anti social justice I think a lot of people don't like people being wishy about wishy washy about that I think it started that way and I think it's kind of slowly like Maybe it's just me but it feels like people are getting kind of bored of like anti sjw stuff like, okay, we've heard You know all the arguments a million times about yeah, I think anti anti sjw is rising right now Yeah Um, and there's a lot of channels that make it very easy because they're like I watched I'm not talking about anyone specific here. Okay.  So I'm like, okay This is a good sign I can start going back and forth between movies television and politics And not just be solely focused on anti sjw stuff Yeah, and uh, I think you've made some very interesting game of thrones Do you know I was uh, I was building a little um Little play house for my sister's daughters and I was listening to your video Oh, just like in unicorn store and I told So would to come out while I was using it says like he might swear at this game of thrones spoilers. Just go away Listen to this video while I'm building a house And uh, yeah, uh, you you have some you have some solid takes and you you you weren't a huge fan of season eight I I I think that's a fair take. But did you know that 63 percent of people actually enjoyed it like I'm just happy because I've I've been really sour and came with thrones for a while I'm just I'm happy to see like everyone else Wake up like it got to a point that even the normies were like Can't deal with it But 63 percent Yeah, stop saying that like that's true.  It's just Jesus 63 percent liked it 63 percent of those 63 didn't have eyes, but it's okay Several percent would not the humanoid, but that doesn't get it A very seven percent of household pets enjoyed the end of game of thrones But uh, yeah, there's a link to your your channel at the top of the description Go and check it out if you want to you want to see some more takes on game of thrones while you're waiting for mine Because I know that people are still very upset that uh, I haven't released my videos for five and six yet I'm right in the one for five is taking me ages to perfectly explain to you Why it's really bad that they've destroyed Daenerys, Varys, Tyrion, Jon, Jaime these are the characters I really care about so I'm trying to make sure it's it's it's a entertaining and informative video while nailing everything that's wrong with that fucking episode and then it's on to six And then it's on to a season sort of recap thing and then I'm going back to tfa Because everyone keeps asking me oh is tfa part three coming out soon. I'm like no Really not soon. We're every single time I haven't started it We're looking at at least a month still and I know that that upsets people but I'm working on what I really want to work on first and then going back to there's no way it won't be done There's this rumor going around. It's like more will never finish it It's like do you understand how long it took me to write that script for the entirety of the tfa thing? There's no way I'm not making those videos um They come in though and the good news is rags is a video coming out tomorrow Tomorrow there you go. I hope in tomorrow. Yeah, I all I gotta do is finish up really just the ending bit of it Just like like the outro essentially And yeah, then we'll be good to go and I got some stuff that I Do want to cover likes I really do want to make videos on and cover And I think those those are fairly shorter And they're response videos. You're gonna come out. You're gonna cover the guy we covered today, right?  Yeah. Yeah.  He was right I'm upset because he had sources. What do you have? He had science showed me the truth about how he feels the nasa study You're objectively wrong Didn't take it.  I will try and stream with maybe rags. Maybe wolf. Maybe whatever Uh, at the very least myself going through the uh, the super chest to make sure everybody gets answered So it'll be on the moola channel, right? So if anyone's like, I want it answered It'll be answered eventually on the moola channel. Give it a couple days You can find this there as well as a link in the chat to Get to it. Um, thank you all for voting on that poll for making sure that studies stay strong And the surveys are trusted because it really proved definitively the truth And um, yeah, uh next episode wolf will be back and we'll finally be able to look at some memes because it's been a while We'll open with that. Yeah, it has been a while since we went over memes. I feel feels bad, man We'll we'll definitely be doing that.  Um, other than that. Is anyone anyone saying oh, uh, bowen bowen's got art bowen said he has art What bowen's baling check twitter Bowen. Yes. Bowen said I was I was so excited. I was so excited I didn't even I'm checking my twitter. I am not seeing anything so far Um resend it bowen Bowen is he just said tell moller to check twitter Uh I've got um, I've got a couple don memes, but I'll save them for when we get wolf back Oh, I haven't seen you. I'm not saying you're waiting for mollers videos. Just watch my game of thrones video They're they're actually good. I really like them. Yeah, I I'm glad you're actually good They're actually glad they're good. They're actually good. They're actually good.  We're saying it because the videos are good. How about that? There you go That's the that's the best endorsement I could hope for If I could wolf just pee at me bowen It's okay. I'm sorry. I'm first off. I'm sorry.  Maybe when he's round maybe the show. I'm still I'm refreshing my twitter. I'm not seeing anything. I'm sorry. I I bowen Feel bad say that Baywood if there's something you wish for me to to put on screen like a drawing Yes, beowen you ascended Fucking nerd roddick retweeted my my figured he put hashtag. I stab with dart and hashtag job. Oh save The toxic Uh as beowen said anything else or um, I I don't think so.   Um Yeah, if if you post it if it's postable it is it safe for word Oh Could be why Technical there post it just DM it to me But beowen if you my DMs are open on discord If you just send it to me, then I'll pass it along Almost finished with a mean 10. Oh three. Oh, that was 15 minutes ago. Okay Uh-oh I hope this is good. We've been hanging on at the very end It will be sort of forgot That meme and ironically will fall into his grave I just kind of forgot anything because I wonder if his family will use it on him every once in a while Oh my god, you just kind of forgot how to be a good husband Oh my god, you could put on his tombstone. He kind of forgot how to be alive All right, I gotta bail with me pick it already. I'm not even gonna expect it until I send it to you guys Oh boy Oh my Highling is Oh, he's got it. Oh god. Oh, there's er on there. Yeah, I was getting booted I like that. That's a good-looking Godzilla It is Captain Marvel Godzilla bottomless too Happy time toys cove Stop objectifying that Godzilla with your eyes That actually looks really cool. Smiling is harassment. No one.  I don't blame you That's true. It's all over Um Yeah, with that, I'd say it's about time.  No, please we're gonna talk about science holding data. No Thank you for your generous donations. You'll see a video for it. Uh after this one on the channel Um Thank you for watching.  Hope you had fun Thank you for being such a long team guest as well sitch and rags peering for his 37th time. It's Ish It's all a bit very fantastic, but we will see you next time to the pip agirio To the pip


Since division, Egyptian style relies on finding multiples, aliquot parts, and doubling, we need the 2 over N table to perform other divisions. Unfortunately, this means we also need to have a table of the doubles of the unit fractions. And such tables were probably part of the standard reference works the scribes had. If you did this for a living, you probably had your own copy of the 2 over N table. So for example, let's divide 23 by 7. So we'll find our multiples first. So 1 gets us 7. 2 gets us 14. And we don't need to go beyond that because 4 would get us too much. So we do want to take our fractional parts. And the only aliquot part 7 has is 1 seventh, which gets us 1. And we can double 1 seventh either by remembering what its decomposition is or looking it up on the table. If we look it up on the 2 over N table, we find the double of 1 seventh is a quarter and a 28th. And now we'll select the pieces we need. If I want to make 23, I need a 14 and a 7. That's 21, and so I'll need two more. So I'll also need the fourth and the 28th. And again, while we don't need to do it, we could lightly cover up this seventh, which we don't need. And so all together, my quotient is 3 a fourth and a 28th. Or we could do 44 divided by 13. So 1 gets us 13. 2 gets us 26. And we might take stock at this point. 3 gets us 39. Since we want 44, we need 5 more. The only aliquot part of 13 is a 13th. We need to double this amount, so we'll look at our table. And the double of a 13th is an 8th, a 52nd, and a 104th. Now since all of these fractions have even denominators, doubling them is easy to do. A double of an 8th is a quarter. A double of a 52nd is a 26th. And a double of a 104th is a 52nd. And of course, doubling 2 gets us 4. And so to get our 44, we need 39, 1, and 4. But we don't need the other rows. And so we could just list our fractional parts. We have 3, a quarter, a 13th, a 26th, and a 52nd.


Using cheers in a classroom is one way to build the community between the students and the teacher and student. In my classroom, our favorite cheer is the 10 finger woo. Woo! We also use this during math time to learn our combinations of 10. So I might say let's give Eden a two finger woo and we might go woo! Two plus eight is 10. Woo! And give her a 10 finger woo. We also use this to build each other up. Students can suggest that someone else needs a woohoo in their life and so we will turn to that student who they suggest and the student might say she needs a 15 finger woo so we'll give her a 15 finger woo. Woo! Woo! Woo! Woo! Woo! Woo! Woo! This builds each other up and it's a great way to build student and teacher relationship. Try using cheers in your classroom. The 10 finger woo could also be given to themselves so they're building a positive self image of themselves. Different cheers for different times. Cheers are all over the place online. Check some of them out today.


A warm welcome to the 32nd lecture on the subject of wavelets and multirate digital signal processing. In the previous lecture, we had introduced the idea of the wave packet transform. Essentially, we had hinted at the aim behind the wave packet transform, namely to be able to decompose the high pass branch or the detail as well into subspaces. We had made one important observation. The decomposition of the high pass branch proceeds somewhat differently from the decomposition of the low pass branch. There are some counterintuitive observations in the frequency domain. However, we had considered only the ideal two band filter bank when we talked about the wave packet transform the last time. If we wish that we should be able to realize a wave packet transform to implement it, then we must look at how the wave packet transform would operate given realistic filter banks and that is what we aim to do in the lecture today. Therefore, in the lecture today, we intend to talk about some identities pertaining to multirate digital signal processing which are often called the noble identities. Noble in the sense that they are extremely important in building multirate structures and in analyzing multirate structures. Further, we will use the noble identities to build a wave packet transform in the context of the hard multiresolution analysis. So, with that little introduction to what we intend to do in the lecture today, let us proceed to talk about the so called noble identities that govern the behavior of multirate systems. You know the essential idea in the noble identities is actually to look at what happens when we cascade. So, here in you know these are called noble identities because they occur very frequently whenever you wish to iterate multirate systems. So, for example, in the discrete wave layer transform, we have iterations of down samplers and filters one after the other and in fact, on the synthesis side you have up samplers and filters. So, the noble identities try and deal with this situation. How can you aggregate together different down samplers and filters or different up samplers and filters? Let us first look at the down sampling context, the analysis context. So, let us put down the basic theme. The theme in the noble identities is to deal with cascades, cascades of sampling rate changes and filters. Let us take an example. An example could be something like this, what happens in the discrete wave layer transformation.  So, it is this kind of cascade that we wish to be able to address and therefore, let us consider the noble identity for down sampling first. Now, the noble identity for down sampling emerges from the following consideration. How can we represent a down sampler followed by a filter? Let us call that filter H of z. So, we describe the system function of the filter as H of z. The noble identity essentially answers the question how to interchange. So, can I replace this by some other filter followed by a down sample? That is the question that this so called noble identity tries to address. Now, you know we could answer or we could address this problem by assuming that a sequence x of n is fed to a down sampler followed by this filter H z. So, let us assume that this filter has a system function H z and the corresponding impulse response is small h of n. Let us call the output y here, y of n I mean. Now, it is very obvious what y of n is. Essentially, y of n is the sequence here convolved with the impulse response h n. The sequence here has at every sample location, the value of this sequence at twice that sample location. So, for example, the sequence at this point would have at the point n equal to 3, the value x 6 or for that matter at 0 it would of course, take the same x of 0 at minus 1 here it would take the value x of minus 2. So, if we call this x 1 here, then what we are saying in effect is x 1 of n is x of 2 n for all n belonging to the set of integers and therefore, y of n which is essentially x 1 convolved with h evaluated at n can be described as follows. Y of n is obviously summation k running from minus to plus infinity either x 1 k times h of n minus n minus k or you could do it the other way. We will write both the expressions and see which is convenient. Now, x 1 k is easy to write. So, x 1 k let us take the first of these two. So, it is very clear that y n becomes summation k going from minus to plus infinity of 2 k times h of n minus k. Now, you know what we are saying here is in effect that we are doing almost what a convolution does you know remember our objective is to interchange the position of the down sampler and the filter. So, from this expression here we are trying to get an equivalent expression for a system comprised of a filter followed by a down sampler in which the operation should give the same expression as here. So, the question that we are asking is how does this fit into filter followed by down sampler. Let us see whether it is easier to answer this question by using this expression or by using the expression here. Please remember that when we have a down sampling operation, we multiply the index by 2. So, suppose we were to use this expression here and note that x 1 of n minus l is actually x of 2 n minus 2 l then in some sense we have already taken care of the requirement of 2 n right there. So, instead of using this expression let us use this expression to arrive at an answer to this question. Let us use y of n is summation l going from minus to plus infinity h of l x 1 of n minus l and note that x 1 of n minus l is in fact x of 2 n minus 2 l where upon we have y of n is summation l going from minus to plus infinity h of l x of 2 n minus 2 l and now we are almost there in answering the quest. You know if you look back at the drawing that we had here this down sample by 2 has been taken care of in this we already have a 2 n here. So, what we could do is to regard this 2 n index as being before the filter you know. So, the 2 n has been created by the down sampling operation. So, if I replace the 2 n here by n I would get what appears just after the filter. In other words just before the equivalent down sample in filter and down sample. So, at this point we have summation l going from minus to plus infinity h l x n minus l n minus 2 l. Now it is very clear that what is the filter should be you know this is almost like a convolution except that it appears as if you are taking only the even points in the impulse response. So, you are allowing only the even points in the impulse response to operate and the odd points are being annulled. This looks like a convolution the h l seems to be located at the 2 l th point all other places. So, 2 l plus 1 th places are 0 that is the effective h that we have here it is as if this came from the 2 l th place and at the 2 l plus 1 th place we have all 0 0. So, in other words if we define h 1 h 1 n in such a way. So, h 1 n is equal to 0 when n is odd or in other words n not a multiple of 2 and equal to h n by 2 when n is a multiple of 2. In that case what we have here then is that y n is simply summation l going from minus to plus infinity h 1 l x 2 n minus l and once again before the down sampler this is n. So, it is very clear what is happening here the filter that operates before the down sampler is essentially one with impulse response h 1. So, essentially the impulse response of the equivalent filter preceding the down sampler is the original impulse response up sampled by a factor of 2 it is as simple as that. So, conclusion is that a down sampler followed by a filter with system function h z or impulse response h n is equivalent to h of z squared down sample by 2 filtering by h of z squared and then down sampling by 2. Now, in other words the impulse response of the filter of the filter preceding the down sampler is the original impulse response sampled by 2. So, h n now this is what is called the noble identity for down sampling. In other words whenever you have a filter transfer function where the odd samples of the impulse response are 0 and the even samples are could be non 0. We could replace that filter followed by a down sampler by an equivalent operation where there is a down sampling first and then a filtering operation. Now comparatively what is the advantage or disadvantage of each of these structures we must ask that question why should we want perhaps to look at this structure as opposed to this. There are two reasons one is of course purely analytical. So, you may want to get equivalent structures and today we would like to do that when we discuss the wave packet transfer, but the other reason is also computational. For example, if you look at this structure carefully what you are doing is first killing or removing the samples which are not going to be involved in the computation in down sampling and then you are doing a filtering operation. On the other hand what you are doing in this structure here is first filtering that means for example before down sampling you are going to generate many samples here which are ultimately just going to be thrown away. To generate samples at this point you are going to do a lot of work because you are going to do a convolution operation here. So, this is an inefficient structure whereas this structure is the efficient version of this inefficient structure. We should make a note of that that is a very important conclusion we have drawn. This structure is efficient computationally that is because we are doing away with samples that do not figure in the computation and this structure is inefficient computationally. However, when it comes to analysis which is what we need to do today to build the notion of the wave packet transform is going to be the other way around. We are going to go from what seems to be an inefficient structure to an equivalent. So, for example what we are going to do today is something like this. We are going to go from a cascade like this. So, you would have say an H z followed by a down sampler and another H z followed by another down sampler and so on and we are going to try and interchange. So, we are going to bring this filter here. So, we are going to put the down sampler past and that means we are going to move towards bringing the down samplers together and this is going to help us build an equivalent structure when there is a cascade. So, you know either motion the motion from efficient so-called efficient to so-called inefficient or the motion from so-called inefficient to the so-called efficient structures are important in the context of multirate digital signal processing. Now, before I proceed to go to the precise application of this replacement let me first address the next noble identity and that is the noble identity of upsample. Now, you know one principle that is very useful in many multirate systems and in fact whenever we wish to build examples or structures in multirate systems is what is called the principle of transposition. The word transpose has been used frequently in discrete time signal processing. You will recall that when we did not have upsamplers and down samplers. So, when we had essentially all linear shift invariant operations if you had a signal flow graph in which there were only the traditional linear shift invariant signal flow operations namely multiplication by a constant summing up of several branches delay by multiples of the sampling time and so on. Then we could define what is called the transpose of a signal flow graph. The transpose of a signal flow graph is obtained by reversing all arrows in the signal flow graph, but keeping the multipliers as they are and when you reverse all arrows what is the branching point could become a summation, what is the summation point can become a branching point. So, the idea of transposition can also be extended to when there are sampling rate operations sampling rate change operations like down samplers and upsamplers. The only difference is that when we reverse the arrows we must also reverse the nature of the sampling rate change operation. So, if you reverse the down sampler you must get an upsampler of the same factor. With this change we define the notion of transposition to get us one more identity when there is one in multirate systems. So, transposition in multirate systems means the following operations. It means first reverse the direction of signal flow, second when reversing respectively down sampler a little bit of caution has to be used, put there a corresponding down or respectively up sampler of the same factor that is important same factor. Now, what we are going to do is to use this principle of transposition to arrive at the noble identity for upsampling and of course then we can prove it. So, let us put down the noble identity for down sampling once again. Essentially it says down sample followed by h z is equivalent to h z squared followed by down sample. Now, let us use the principle of transposition. Transposition would mean that you reverse all the arrows here. Now, when you reverse the arrow here you are going to start by reversing this you know. So, when you reverse and go across the down sampler in the other direction you must put there an upsampler of the same factor according to the rule of transposition. This is as it is this is discontinues to be h z squared. Again when you go past and reverse here you have h z as it is, but then here you must put an upsampler in place of the down sampler of factor 2. So, let us draw the corresponding transpose. The transpose would therefore be this look at this is the transpose of this h z first and then upsample by 2 is equivalent to upsample by 2 and then an h z squared. This is the transpose of this upsample by 2 the other way and then h z squared and this is essentially the noble identity for upsample. What is the noble identity for upsampling say? It says that if you filter followed by an upsampling by 2 it is the same thing as upsampling by 2 and then filtering by a filter whose impulse response is the upsampled version of the impulse response of this filter. Of course, in both cases there is an upsampling involved. The other way of looking at it is going from here to here there is a down sampling and going from here to here there is an upsampling. So, you know there are different ways of remembering this. Now, of course, what I have proved here or rather what I have written down here is essentially a noble identity for down sampling and upsampling by sample factor sampling rate changes of factor 2. We can generalize in a very straight forward way to any other sampling rate change factor. In fact, let me write down in general the noble identities for any upsampling or down sampling factor of course, integer factor and in fact I leave as an exercise for you to do three things. One is just as we proved the noble identity for down sampling by a factor of 2 I ask you as the first exercise to prove the noble identity for upsampling by a factor of 2. Subsequently, in the next exercises I leave it to you to prove the more general versions of the noble identities for down sampling and upsampling. So, let me write down these exercises and leave you to do them and attempt them later. So, exercise number 1 I explain the exercises and I leave it to you to do them. Prove of course, here I am talking about upsampling by a factor of 2. Please remember when I talked about transposition that is not a proof that is more like a mnemonic and a to the memory that was not a proof. If we wish to treat that as a proof then we must prove in general that transposition leads to a valid structure. In fact, let me put that before you as a challenge. So, challenge that transposition leads to a valid alternate structure, a slightly abstract thing to prove. For example, what we are saying is transposition gave us the ability to prove a new theorem from a previous one here. Now, to show that this is in general true, to show that when we transpose a certain structure or when we transpose two equivalent structures we get another pair of equivalent structures. This is the challenge slightly difficult job. Anyway, that is a challenge that is not what I would call a traditional tutorial exercise, but I do like to put some challenges before the class. Anyway, let me put the second exercise before you. The second exercise is prove the more general noble identities down sample by m followed by h z is equivalent to filter by h z raise to the m followed by down sample by m for any positive integer n and this is for down sampling and correspondingly for up sampling we have m any positive integer and this is for up sample. Anyway, with that little background on the noble identities let us apply the noble identities now to the context of the Haar multi-resolution analysis. Our objective was to go towards the wave packet transform in the context of the Haar MRA. So, let us take two iterations. You know actually the wave packet transform makes sense when you go down at least by two steps in the ladder of the multi-resolution analysis. So, let us go down two steps. So, let us take the Haar MRA. We have 1 plus serinverse. Forget about the factors of half and so on. Let us just focus on the basic filter system function 1 plus serinverse and 1 minus serinverse. This is the analysis filter bank for the Haar. Now, call this whole thing the bank B and what we do in the wave packet transform in Haar would be to repeat B here and repeat B there. In other words, we would have four structures of cascade. You know visualize it. You have this and then you have this whole structure being repeated here. So, you have two structures of cascade emerging from this, this cascade with this and this cascade with this. When you repeat this whole structure here, you have this cascaded with this and this cascaded with this. So, there are four structures and let us draw those four structures of cascade. Let us take just one of them first to make matters simple. So, consider there are. So, let us make a remark. There are four cascade structures distinctly. In fact, we can capture them in one expression. We could write 1 plus or minus serinverse followed by down sample by 2 followed by 1 plus or minus serinverse followed by down sample by 2 again. Now, it is very easy to use the noble identities to replace this. So, as I said here is one example where I would like to interchange this pair. So, I would like to bring this filter in place of the down sampler and the down sampler in place of the filter. So, I can put the down samplers together. Using the noble identity for down sampling, I would have down sample followed by 1 plus or minus serinverse is equivalent to 1 plus or minus serinverse followed by down sampling by 2 z to the power minus 2 remember here instead of z to the power minus 1 there. Therefore, the four distinct cascade structures become as follows. Essentially, 1 plus or minus z inverse times 1 plus or minus z to the power minus 2 followed by down sample by 2 and down sample by 2 again. And if you down sample by 2 twice it is equivalent to down sampling by 4 that is easy to see. When you down sample by 2 the first time you are taking every second sample and putting it in half the location. When you down sample by 2 the second time you are again taking every second sample and putting it back in half the location place. So, in effect you are taking every fourth sample and putting it in one fourth the place of location. So, what we are saying in effect is down sample by 2 followed by down sample by 2 is equivalent to down sample by 4. And therefore, we have four filters that come out of this process. In other words what we are saying is when we consider this movement from v 2 you know what we are doing if you remember in the analysis process is to decompose v 2 into v 1 and w 1 and then followed by a decomposition of v 1 into v 0 and w 0. Now, w 1 is also being decomposed here into what we might call w 1 0 and w 1 1 and that is the beauty of the wave packet transform this is special to the wave packet transform. So, in fact you know notionally we can show the filters also here.  Here again it is 1 plus z inverse which takes us to v 0 and 1 minus z inverse that takes us to w 0. Here again it is 1 plus z inverse that takes us to w 1 0 and 1 minus z inverse which takes us to w 1 1. And therefore, let us take these four filters let us write down these four filters systematically.   So, in fact this sequence tells us how to expand at an element of the basis here in terms of the basis here. And as you can see this corresponds to the sequence 1 1 1 1 at the points 0 1 2 and 3. So, we are saying the sequence 1 1 1 1 expands phi t at an element of the basis here. Typical basis element in v 0 in terms of phi 4 t minus k phi 4 t in its translates you know when you go from v 0 to v 2 you are going to dilate by a factor of 4 that is what is meant by down sampling by 4. And indeed it is quite clear indeed phi t is phi 4 t plus phi 4 t minus 1 plus phi 4 t minus 2 plus phi 4 t minus 3 and that is very easy to see that is essentially saying that this is this plus this plus this plus this here you have 0 to 1 1 there 1 4th half 3 4th there and 1. Now, once we have done this for one of these filters in cast k it is very easy to do them for the others. And that in fact gives us the basis for each of these spaces w 1, w 1 0, w 1 1, w 1 0, w 1 0, w 1 0, w 1 0, w 1 0, w 1 0, w 1 0, and w 0.  And to go from v 2 to w 1 0 you should do a 1 minus syrinverse followed by a 1 plus z raise to the power minus 2. And to go from v 2 to w 1 1 you must do a 1 minus syrinverse followed by a 1 minus z raise to the power minus 2. So, let us do this and complete the job. So, what we are saying is v 2 to v 1 to w 0 should be obtained by 1 plus syrinverse followed by a 1 minus z raise to the power minus 2. Essentially a 1 plus syrinverse minus z raise to the power minus 2 minus z raise to the power minus 3 and that gives rise to the sequence 1, 1, minus 1, minus 1 and the function 1, 1, w 1, w 1, w 1, w 1, w 1, minus 1, minus 1, 0, half, 1, the har wavelet as expected. Similarly, we could complete the others. So, v 2 to w 1 to w 1 0 is essentially 1 minus syrinverse and 1 plus z raise to the power minus 2. So, essentially the sequence 1 minus 1 again 1 minus 1 and correspondingly the function 1, minus 1, 1, minus 1. So, this function and its integer 2 is essentially translates span w 1, 0. And finally, I leave it to you to show for w 1, 1 we would have 1, minus 1, minus 1 and 1. So, I do not really need this, this is just to exemplify 0, half, 0, 1, 4th here, half there, 3, 4th here and 1. This function and its translates. So, therefore, we have now built the wave packet transform in the context of the har multi resolution analysis. What we have done is to establish the one function whose integer translates span each of these subspaces v 0, w 0, w 1 0 and w 1 1. So, in fact, the property of a single function and its integer translates spanning spaces holds also for the spaces emerging from the wave packet analysis. With this then we have illustrated one instance of the wave packet analysis and we shall go on to other uses of the noble identities in the next lecture. Thank you.


I need to get out of this corner. It's too much damage. I'm out of here, DP. Super. Oh, it hit! You should have never messed with me. Let's go. Fully invincible supers, eh? How's it going, everybody? Dottodoy here, and it has been a long time coming, but we are finally returning to Grand Blue Fantasy Versus. That's right, very recently the game started off its second season, and of course with a new season comes new characters, and the one we'll be checking out today is Belial. And really, there's not too much to talk about this character beforehand on the video, but I did want to mention that his projectile game seems very strong to me. You can throw a standard projectile or throw one up in the air, and then you can curve those projectiles forward or backward, which is just insane for making your opponent want to jump over them or how they react to them, etc, etc. Other than that, really, his only gimmick is this parry move in which he puts both of his hands in the air and walks towards you. If anything hits them during this time, he will teleport above you and stomp your head into the ground. But yeah, with that, we have covered just about everything you need to know before actually hopping into this video, so let's hop into some ranked games with Belial, and if you enjoy them, make sure to go down below and leave a like, and let me know if you would like to see more Grand Blue on the channel in the future. And it looks like to start things off, we are facing another Belial player, the classic Belial mirror match. Really, it's gonna come down to who's been mating this character for the longest time. For me, it's been about 30 minutes. Hey, this game has good intros though. Man, this game looks amazing. It's been too long. This game looks way too good. All right, and this OST. Got the Belial track in the background. Let me go ahead and start things off with an air fireball. He's gonna jump. Oh, so you swear? Whoa, cheap. All right, watch this parry. Oh no. The parry was good, but he's better. Grab that, that grab. I'm not here to play. Oh, I curved it the wrong way. Nice, already starting off with big hits. Oh, I got fire. Oh no, wrong move. That was supposed to be the X fireball. Nice counter hit. How much damage is this going to be Belial in the corner?  Overhead. All right, let me just back him up here. Let me back him up. I need to get out of this corner. It's too much damage. I'm out of here for mess with me. Let's go. Fully invincible supers, eh? Looks like I've been maining Belial for way longer than you, buddy. Couple minutes maybe. That was sick. All right, so this guy actually does have the combos. I did not think to use the EXDP. All right. Oh, that didn't combo. Come on, you've got to give that to me. Nice counter. I'm too worried about the grab. Oh, what a move. We don't want to see that around here. Oh, he's pretty good. You know what? Let me counter as well. I can't let you do it twice, man. Whoa. So he also has supers. This is his other super, by the way, which is why it looks so cool. If he can't... Oh, you... One that was supposed to be a super and put in two, I messed up the time. Oh, we had him too. He walked in for the parry just like we predicted. What is the point of having an upwards projectile if you could just curve it down? Nice fang. Oh, I love that counter. He's going to counter. Dude, you're too predictable, man. Let's go. Oh, counter. Oh, it doesn't counter throws. In fact, throws are the only thing it doesn't stop. Nice hit. Am I going to die for that? He does have a super available, which does a lot and he can combo into it. Oh, I didn't tech. Oh, man, this is a game now. Nice. The counter didn't kill him though. Oh, please tell me it hit. Yes. Oh, what a game. That got way too close. We didn't get the cutscene because we actually killed him with just a kick. Oh, man, that was way too intense. All right, bring it back. We definitely played a pretty sloppy game. So let's just... Let's hop into this next one. Counter that. We don't like to see that around here. I can't believe that didn't combo. That's supposed to combo. I must have timed it wrong. Oh, EXDP. Fully invincible. That is so sick that you can do that. The counter, I did not expect the counter to be this good, but it is definitely pretty good. Oh, another good grab. And I tried to grab him out of the counter, but I messed up. Check that. Not a good time for me. Okay. That was the counter. Grab. We have one bar health left. He got a little too antsy. And I'm going to punish him for that. Oh, he walked back into it. Like a button. Oh, he didn't. I thought that was a jab. I couldn't be blind. I definitely thought I was punishing a jab there. Overstep my boundaries a little bit. Get that off of me. Love that. Damn. Wow. That is good. Oh, the jumping jab, dude. That is sick, too. You can just hold buttons in this game. I kind of forget that sometimes. Okay. We both overestimated the grab range.  That's another system in this game. Okay. Well, that's how I don't think that's how either of us saw that going. Oh, you're getting punished for that. No, I'm getting punished. Damn it. I hit the 2L again. I keep going. I keep getting that sweep when I'm trying to input skybound art. All right. We took an L there. Now it's down to, what, the last game? Yeah. You can only do first two in this game. So this is for everything. And I'm not about to lose. Let's go. I'm going in. Beautiful start. Love that you can block that. EXDP. That's okay. That was a risk we were willing to take. Grab him on wake up. He thought I was going to DP. I'm a DP right now. I love this character so far. Why is this character so fun? All right. This time we're going to go for a read. Oh, that was so good. Oh, I didn't curve it back fast enough. Damn, that is good. Nice. Did you know that safe on block, by the way? Oh, bit of lag waits. Wait, we did not need to do that. I love that you can. So if it clashes, you can still curve it and get the effects to take in. Oh, I panicked. You can still block that throw. Not game just yet. Don't get antsy though. Don't get antsy. I'm going to have to punish you every day of the week. Oh, I didn't. I dropped it. I dropped it. I dropped it. Give me that. Give me that. Give me that. So you're trying to counter. Let me go ahead and catch up. Get this grab in. And we are going to take set one with Belial. I am really enjoying this character, but we still need to land his skybound art finishing cutscene. That is a chair of swords anime. All right, we are back with game two. And once again, it is a Belial mirror match. Yeah. I didn't think we'd find any other characters online, but everybody's trying out Belial, dude. He's too sick. I like, all right. So we're just going to let this intro skip after this. It's hard though. These are all such good shots. All right, we'll skip it right there. I don't need to see my intro. I already know what I'm going to do. I'm going to throw some fireballs. Whoa, nice counter. Was that safe? Oh, this guy's pressure is completely different than the last guy. So let me go ahead and throw him. Let me go ahead and mix my pressure up. Love that you can delay that stomp, by the way. You can do the stomp without going for the counter. The walk up grab. Oh, so much damage. I was too afraid to commit. Am I dead for that? I probably would have benefited and dropped it. So we take, we take a loss on round one. This is unacceptable. We got to get round two. Round two here I come. Love to see that.  This man loves his lows. Get away from my, I was going to say toes, but I didn't want to sound cheesy and rhyme. So I actually just canceled that sense. I did not want to, I did not mean to rhyme without a DP. Oh no. Yes. Counter that. I tried to land and counter again. Hit me. Oh, I'm thinking I like this character. Counter is such like a, a smug move. Got to curve that back way earlier if I don't want to eat this damage. That is insane. It's actually not a bad position to be in in this game where he DP. I love how safe that makes you. Nice just guard. I'll give it up. Just guarding is when you block right before it hits. I think like, I don't know how many frames it is, but I don't even remember what it gives you and move on my part. All right. I just countered. I didn't know what side he was. That counters both sides, by the way. That's kind of why I went for that. I think we're dead. I think we're dead. The cutscene. Oh no, he didn't get the cutscene. I was trying to get the cutscene. No, I should have, I should have just went for more safe stuff. Oh, damn. That was good. I'm not losing again though. I can't accept it. Not again. That was a great game. All right. Here we go. We're going to play a little bit. No, he's going to jump in, isn't he? Oh, I didn't get the combo. Take this grab. He just grabbed on wake up. I didn't expect it. DP that. Oh, you got one yourself. Hey, but we got counters. Oh, nice heavy in the air. I just keep going for that. Love to see it.  So I'm gonna be, I'm gonna be as well.  Oh, my combo damage. Wow. Okay. Okay. That was pretty sick. Now we are back. Our backs are against the wall. We have one round to prove it. One, one, one round. One for the overhead, not sparring. Didn't bend it right back the right way. Get that counter in. Should have curved that. No DP. Oh, it's not invincible to DP.  Oh no. Beautiful, but not going to get us out of the woods. It's not, it's not, it's not done yet. Curved it the wrong way. No, no. What a combo. What a confirm. That was a great game. Damn, I really wish we didn't lose that. All right. Well, I think that's where we're going to call it this time for Belial, but I would love to come back and do another video with this character because I don't think we fully explored what he's capable of and also I just really enjoyed my time with him. So let me know down below in the comment section with a comment or just by liking a video, whether or not you would like to see that happen at some point on the channel. And if you would like to see more coverage on this game as the season two characters continue to come out. Other than that, you can also watch some more videos that should be on your screen right now. Thank you so much for taking the time to check out this video all the way to the end. I have been Datsudoya and I will see you in the next one.