All right guys welcome back up next we have our unannounced speaker sock He's been involved for a couple years now and actually before he comes on stage Anthony would like to have a word. So here you go Okay Next guy haven't promoted him at all nobody here or very few of you do you know who he is most you don't The and I'm gonna put pressure on him because I think he I think he can do it I think this is gonna be the most unexpected and surprised speech at the event I mean right off the bat hitting the home run and I think potentially one of the best speeches ever given at the event. I am very I have very high expectations Not to necessarily put that on him maybe but just because I know him at this point And I know his ideas really well from talking to him in person over the past year and a half and from reading What he has to say on various forms we post on His topics gonna be relationships and then a few other things branching off from that And that sounds so generic, but this is like so contrary To what you see elsewhere in in anything and in say general dating advice or even like hardcore PWA stuff it's totally Either not mentioned at all or it's complete opposite of what you see on the mainstream So sock short Socrates is I think very has very contrary ideas to what we accept on a very broad scale In society today no matter where you go The ideas are essentially right by my judgment I think they are Outstanding and if you apply them to your life and the context he gives you it's it's me bad ass So with that said welcome sock the stage. Thanks, man. I appreciate it coming Thanks Hi guys, I'm actually really pleased to be here particularly proud from a number of reasons You know my my personal path has been kind of one in which I've stumbled tried failed But it's one in which I was not satisfied with by maintaining the current patterns of behavior and what I did is I decided to find other men find friends and To kind of put myself back together to look at where I wanted my life to go and to basically self-educate and when I say self-educate I mean steal I Took anything everything transferred information from one realm and put it into another and that has been a Evolving process some stuff that I started when I was very young to to the current date and it's it's been very insightful for me And it's been successful My name is sock short for Socrates One of many names and identities that I go by and identify with and that's really less important than who I am Who I am is quite literally as I stand here before you. I could be your father More likely I could be your older brother without a doubt I could be your friend but the bottom line is and most importantly to me is the fact that I Can be you in many many ways. I've I'm not an expert in my field. I'm not a commercial operator I'm a ranked amateur. I've gotten good at what I do Particularly proud of that, but the the issue is that I tried I stumble I make mistakes and I evaluate those aspects and I apply Reasoning to what I do and some insight to what I've done and why and today What I'm going to try to convince you guys of is that it's going to be a contrarian point of view And for a lot of the men's men's organizations men's community is that there's some very very strong positive aspects To interpersonal relationships with women. I'm going to use some really vulgar language. I'm going to talk about commitment I'm going to talk about monogamy. All right, and I'm going to say them in positive aspects All right, I will try to not use that so much I'll use other terms that you're probably more frank with but it's it's an aspect of the community I think fails in a number of ways So a large portion of my speech today is literally going to be about the positive aspects on being in relationships with women And that means the committed one. I'm going to be looking at several technical skills on relationship development Skills you're going to need in having relationships and primarily those are going to be filtering screen in abilities Your ability to create boundaries and then the the other interesting one is I'm going to talk about your brand identity Your social relationship brand. What are you offering to other women? What do you offer a offering to those relationships with people you do have? Then I'm going to actually look on a very critical skill I think it's the essential and that is the aspect of critical confrontations the ability to actually have a Confrontation that has positive results. There's ways in which to do that. There's ways not to do that Trust me. I've made a lot of foul ones. Okay, and so there's a lot of this is from experience Then I'm going to move on from that is that the aspect of Being able to have relationships at times You're going to need to know how to end them and then why to end them And so we're going to cover that and then for a little bonus that are really kind of out there I'm going to actually give a kind of a small brief talk and some very basic ideas on that very notion That's tap very taboo on getting your ex-girlfriend back Don't want to do it in every case There are some positive aspects to do it and some things you're going to want to take into account on why and when to do certain aspects when you evaluate it all right Getting back to the main purpose of the talk is is literally about the positive roles of Interpersonal relationships and intimate relationships with women particularly in committed relationships now a lot of you are going to be younger You can practice these skills without being in a relationship You can actually practice having relationships without being in the committed one you do it with your friends You do it with your family you do it with your co-workers your bosses Anybody you have that relationship with these these skills pertain their transferable skills And if ultimately you want to have a relationship you want to have a wife you want to have a better quality life Having these skills in your pocket is vastly better than trying to learn it on the job under fire Trust me you're going to make vastly different decisions different reactions And you're going to behave differently in the heat of a moment You don't want to be learning in that case because it's going to cost you dearly and it's going to be more than emotional It's going to be more than financial it can change your life And in many ways Behavioral patterns such as these affects greater society on a whole how we go through life interacting with people Reverberates through communities you reverberate through societies how we regard women how we regard ourselves in culture as Men as men and women those relationships spawn off and unfortunately when I bring up the term spawning We can also talk about children You know what are your relationships with children? What type of man were you for for the mother of the child? What type of father were you to that child and these are relationships that will then get projected so a lot of times I'm going to be kind of flipping. I'm going to be derogatory in cases, but it does not mean I'm not being serious The other aspect is this is a serious aspect, but this should also be fun It's it's probably one of the most important investments. You're going to make in your life all right One of the most important aspects of being in a relationship is that you have to be in one to really understand them Knowing can tell you what it's going to be like. You can't kind of project accurately What being in a relationship is truly like until you're in it and on the community side to be very much like a keyboard Jockey is telling you what's you going to do when he approaches a girl? What lines he's going to use and how it's going to be scripted out? That's great for practice. It's good to have that idea in fallback It's good to have a plan, but I'm telling you the shit's going to hit the fan as soon as you get out there You're going to make decisions situations are going to change Context are going to change anxieties are going to perform and Context is in ways in which you're not going to be able to fathom or imagine are going to come up And you're going to have to make decisions and react to certain aspects Judgment calls so forth that you're not going to be able to anticipate and you're going to make errors And the issue is you're going to want to have some practice in doing is maintaining these the better skill proper skills You have the better you're going to be able to perform and they're fairly basic in many aspects The other aspect to being in relationships. I think is one of the biggest failures of the men's community We focused in on getting the girl, but not what to do once you get her other than fucking her And I think that is a terrible terrible letdown because I don't think that's what most people want And it's why with the men's population tip of Community groups tend to actually lose its members Because one of the aspect is I don't think guys go out with the intent of actually going out and getting a girlfriend They end up with one worse yet They end up with a wife, you know And then you find out not only do they end up with a wife But they end up with a child mortgage payments everything else and that doesn't work and then you have catastrophic loss You have you know people are getting hurt Another aspect on Interpersonal relationships is it's going to be probably the second most important investment you make in your life The first is what you're doing right now You're investing in yourself. You're investing in your education You're investing in your life and developing those skills getting exposed to different ideas Making connections with other people other members of the community. These are very very Essential elements to your development and these things are you you control


Hey guys, a little bit of a different video here today talking about a new show that I'm watching from HBO called The Outsider. It has Jason Bateman and Ben Middleston in it and it's adapted from a Stephen King novel. At least to say so far this show definitely has a slow burn appeal but it is developing its kind of quirkiness. I'm admittedly happy that I watched the first two episodes at the same time because if I had just watched the first episode I would have been like what? Yeah because it ends on such a odd cliffhanger that it then proceeds into the second episode which really gets the whole mystery and the idea going. At first it looks like kind of a procedural crime drama where Jason Bateman is pulled in for the murder of this child. However, it starts to be revealed that he is in two different places at the same time. Then the whole King-esque sort of mystery supernatural possibility starts to brew in the background considering there's this person with a hoodie that they keep showing in the first two episodes. My thought is that this is a different interpretation or something similar to that of Storm of the Century. If you guys recognize this poster, this is Colin Furrow, probably the most sinister looking Canadian that you've ever seen except for maybe Robert Picton. Either way the Storm of the Century series was made back in 1999. King wrote the whole thing out. It was a four-parter episode about a little island town off the coast of Maine that gets hit by this blizzard. And then there's this mysterious stranger who appears, people start to die, and eventually the mysterious stranger's plan is revealed. And it's a pretty cool cliffhanger episode. I still talk about it to this day mainly because Tim Daly, the voice of Superman's also an actor in it. He's one of the main characters.  Something else that I should really mention is that this show has Jason I'm Not Funny Bateman. I say that because I have never found this guy funny. I thought he was not funny in rest development. I never thought he was funny in anything else. However, the guy can do drama. I watched a couple of episodes of Ozark and after watching the episode and then seeing that he directed a few episodes, which he does the same here for the outsider. He directs the first two episodes. He's really good at this. He's not good at comedy in my opinion, but this stuff he is exceptional at. Either way, I would suggest you guys watch it, but maybe wait a few more weeks. I know there's going to be another new episode next Sunday, and I'm going to definitely watch it because I really, really enjoy this show. I'm curious to see how it develops like a cop kind of who done it, but I'm waiting for that full-on king vibe to appear because I know what's going to. Give me your guys' thoughts as we've started watching this. If you haven't, watch it. Come back here and let me know what you guys think. And obviously, I'll be doing a review of this when it comes to its end two months from now, I guess. Anyways, guys, that's all for me. I hope you enjoyed this video. If you did, leave a like and if you're interested in more, maybe subscribe. Otherwise, see you guys next time.


Welcome to ToffyTV, it's a daily extra here on Patron, Patron Exclusive, it is, Gangsigns, Patron Gangsigns, that's what Deli Alley had to do wasn't he, anyway yeah, so yesterday we reported in the news that it seems like Everton are very keen to keep hold of Andre aren't we all? We are but do you think or do you think there's anything in them revealing that right now because normally you know football club likes like they like to keep their cards close to their chest they don't like to reveal too much about you know we say it all the time if you've got someone on loan or someone is out on loan no one really makes a statement about it they'll go we'll see what where we are and we'll do this and we'll do that and what we like them as a player but it's too early do you think what Brands and Silver said paves the way for a payment deal because maybe what they said is what the player wants yeah okay thanks for watching now I think there's did you make me tea? I made you tea because you've had three coffees and you're a bit flushed there you go um I think it's just because you've been up so early that's what it is for you I think there's more to it than because it's very very easy for Marco Silver when he's asked to turn around and go it's it's cheers Tom it's uh it's so early in this deal you know well it will look at that in April or May and see what happens it would have been easy to bat it off he didn't have to even even field the question really he could have just give the bulk standard answer and moved it along so the fact that he's took it on and said it's something we need to do in the right moment it's something we're looking to do it's not even January so the fact it's getting talked about in November yeah and the lads played six games kind of makes you think this is something that the player is pushing as well. Brands I don't know where Brands was asked this question but he was asked by Spanish Jainist but I don't know where because he hasn't been anywhere so maybe the Spanish Jainist was at Gullison and asked him I don't know I don't know I don't know unless he was in Spain I still don't I don't know where he'd be though that's the thing I like to know where he is so he was basically asked and his answer was it's up to the player that was his answer right his answer was it's up to the player in other words we won him we didn't say it's up to the player and if Barca wanted to sell he said it's up to the player so you take from that the club won him Barca are willing to sell and it will leave it on the player Silver comes out and says basically you know we like the player we want the player I just think I mean I suppose you can look at it two ways because if you you might I suppose if you want to you might could say that they're just trying to start the process to butter the player up and make sure that it's known that everything really what I mean because there's there's there's doing it in private but then there's doing it in public and there's getting that grounds well and it's getting the fans to almost buy into it and say listen you know you want this lot to stay make him feel like he's at home and there's there's normally always a calculated reason Marcel Brands would not give a I know he's Dutch and Dutch people just say literally what they want literally but you get the feeling there is a calculated reason not saying there is I'm just saying you get the feeling there's a calculated reason why both of these both of these quotes have come out because if someone asks you a question you don't need to answer it like you just you give the stock answer you're not alone we're enjoying them we'll see what happens at the end of the season but I just think it went a little bit further than that I agree it's very similar to when roms here and the noisier started coming out about November December that we wanted to buy him permanently and he was open to it and that was exactly what happened there but then tried to buy him in January and Chelsea were over an hour and he didn't really want to sell his marino I think wasn't it at the time didn't really want to sell him it was like let's wait and see and we had to just buy that time I think this seemed very very similar because Marco Silver's very good at just going this is happening and we'll see what happens especially on Marcel Brands it's like well now or yeah so the fact because I suppose if it would have been easy for Marcel Brands to say we've got a deal in place for the season and we're going to look if things carry on we're going to look in April and May and speak to Barca the fact he's like we want to try and get it done me kind of makes me think that they may try and get it done in January or at least put an agreement in place


Dr. Andrew Misseldine We are starting chapter four in our series entitled Orthogonality now that might sound like a made-up word and basically every word in linear algebra sounds like that sometimes but no This is a topic. We're gonna talk about a lot in Chapter four this chapter is gonna be very very geometric in its nature we want to develop some of the geometric framework of lengths and Angles through the lens of linear algebra this leads towards ideas in geometry higher geometry Trigonometry and things like that. So we've dealt with geometric issues in this course already So while the notions of affine geometry were introduced as early as chapter two And there were some geometric threads that were woven inside of chapter one or introductory chapter The the notions of affine geometry are very very broad and we want to focus more on what's called Euclidean geometry And as such this geometric development will not be entirely possible for all of the finite fields or other fields We've talked about there's gonna be some limitations that one can make while there are some geometric analogs that can be made They're gonna be somewhat restrictive and limited and so for simplicity's sake in chapter four We're gonna we're going to resolve ourselves to only talk about the fields are and see So the real numbers and the complex numbers these only two fields We want to worry about for this chapter because that's the setting for which the full-blown Orthogonality conditions can be made now again I don't want to say things like dot products and norms have no places for other fields I mean in the finite field z2 you have the hamming metric the hamming norm Which is a very good way of measuring distance on binary vectors, but again, it won't have all of the same Meanings so like this the positive definite condition and things There's a lot of stuff that would be technical that we don't want to get into in this series So it kind of goes beyond the scope of our course Those those analogs there So we are going to restrict our attention to just the real numbers and the complex numbers as we talk about the subject of inner products Now in this series, we there's really only two inner products We care to introduce the so-called dot product and the Hermitian product and the inner product is the term We'll use to describe either of those there are lots of different inner products out there But again at this at this first Interjectory level the two inner products we care about are gonna be the dot product and the Hermitian product now the re the the dot product is the inner product the sort of the canonical inner product for the real Numbers and we define that right now So the dot product is gonna be a function which goes from Rn times Rn to just R So what happens here is we take a vector in Rn We combined it with another vector in Rn and we produce just a scalar that is a number in Rn So the the dot product is sometimes called the scalar product because we're gonna multiply together vectors Yes, but we produce a scalar value be aware that prior to chapter 4 We hadn't really developed a notion of multiplication of vectors now. Yeah, we did have a matrix times a vector product But in that situation we really were just doing a special case of matrix multiplication No notion of a vector multiplication this chapter 4 will introduce and also in chapter 5 We'll introduce many notions of vector products the first of which is this inner product or sometimes called the scalar product It takes two vectors together and produces a scalar now the formula for the dot product is going to be the following We're gonna take u dot v and so we get the name dot product because the symbol we use to describe the dot product is Actually a dot there are lots of different notations one uses to describe Multiplication for the dot product we always use a dot we will see other types of products of vectors for which we'll use different symbols So the dot product by definition is going to be u transpose v if we think of vectors as one column matrices Then the dot product is going to be a row vector times a column vector Which we can see right here a row vector and a column vector Well matrix multiplication tells us exactly what we do with this If we have the same number of columns as we have number of rows which in this situation means the two vectors have the same number of Entries which ought to be in we're gonna take all the possible combinations So you can take u1 times v1 plus u2 times v2 plus u3 times v3 all the way down to un times vn And that's what we mean by the dot product. It's a calculation We're probably quite used to because we see it all the time with matrix multiplication I'll talk more about that in just a second. So if we take the dot product of u times v What this means is you're gonna multiply together the corresponding components of the vectors and add them together So we're gonna multiply together the first entries So we get one times negative five then we add that to the product of the second coordinates two times zero Then we add that to the product of the third coordinates. We do these things we get negative five Plus zero plus nine and so then the dot product turned out to be four What is the relevance of the dot product? What does this mean geometrically? We'll get into that Don't worry about it at the moment. Let's just focus on computing these things So let's see so I mentioned the connection to matrix multiplication Honestly as we have been multiplying matrices together. We really have been doing dot products all the long We just we just didn't really mention it So for example, if we have a as an in by in matrix Then consider some vector x right in our end Well, consider the row vectors not the column vectors consider the row vectors of a Okay, so we have the first row the second row the mth row all the way through well When you multiply together a matrix by a vector a times x this really is just we can view it as dot products you take The product of r1 the first row times x That's the first entry then the second entry is the dot product between r2 and x and then this will go all the way down to RM times x so, you know, if we took as an example one two three four five six Just as our matrix and then we take a vector We'll take it to be say zero Three negative five or something like that. We often talk about this finger multiplication Why you take the first row times the first column? This is really just going to be the dot product of those two vectors So we're gonna get one times zero plus two times three times three times negative or sorry plus three times negative five You simplify that then you take the second row times the column here and you see you get four times zero plus five times three Plus six times negative five. So every time we do multiplication vectors We're essentially doing a dot product. And so for that in that perspective the dot product Works for every vector space for any field. We can do dot products as long as we have some type of coordinate system That's perfectly fine now. So while dot products work for every single vector space the notion of an inner product is Restrictive just these reels and complex Numbers and the reason I say that is that the dot product will only be an inner product for the real vector spaces We can do dot products on other vector spaces, but doesn't form an inner product I'll explain the distinction of that in just a moment before we do that I want to introduce the Hermitian product, which is the inner product for complex spaces The problem is we could do a dot product We could do a dot product for example of vectors in C2 C3 whatever CN and let me give you an example of that real quickly. What if we took? Let's say the vector U will be the vector 1 I for example and V is Going to be the vector. I guess we'll take 1 I again You know why not just make it the same thing? And so if we take U transpose V Which was the dot product we defined previously this is going to look like one times one Which is one plus I squared I times I which gives you one minus one which gives you zero and so this is going to be a little bit concerning for us because Essentially what we do it took is we took the product of a vector with itself So this really here is just you transpose you right here The dot product of vector equals it equals zero and the thing is we don't want that to happen for Inner products we don't want the product of a the inner product of a vector with itself to be zero again That'll make more sense by the end of this video and so while real numbers have no problems with this Complex numbers we can see that if you take the product if you take the vector transpose itself You can actually get zero now part of the problem Has to do with the transpose you'll remember that we vowed never never never to use the transpose of a complex Matrix for which if we think of a column vector, it's just a one column matrix This was like the forbidden sin. We've broken the unbreakable vow. Don't do that This is really the problem Transposes shouldn't be used with complex matrices and it really has to do with the notion of inner products For the finite fields and some of these other fields that are besides the real numbers and the complex numbers again There are issues there are some ways of fixing it, but for the finite fields we've talked about There's really no way of resolving this problem that the dot product can produce zeroes when you take the dot product of that Effective with itself and therefore it's not a good candidate for the inner product So Let's first talk about our candidate for inner products with complex matrices So we should never ever ever use transposes so to define an alternative to the dot product We take the so-called Hermitian product and the Hermitian product is gonna we're gonna use the exact same notation u dot v yikes I'll talk some more about that in a second But instead of defining that to be u transpose v we define that to be u star v which this is the conjugate transpose We transpose and we take conjugates So what that would look like is we're gonna turn the first vector into a row vector But we have to conjugate each of the scalars in that row vector and then we multiply together the vectors using the usual finger multiplication and so the Hermitian product will look like the product of u 1 and v 1 But you take the conjugate of u 1 you'll take the product of u 2 v 2 But you take the conjugate of u 2 all the way down to u n times v n But you take the conjugate of v n let me show you what that looks like If we take the product of the inner product in this case the Hermitian product of u and v what that will look like will be the following So u dot v we take the conjugate of the first one.   That's gonna be a plus 4 Nope. Nope. Nope. Let's be careful here. So we're distributing this negative 4i here So you get negative 4 times 3 that's the negative 12 i then you're going to get it's a double negative great So then you're gonna get 4i squared which like before it's still a negative 1 so you're still going to get 2 minus 4 which is a negative 2 But this time you get a plus 2i minus 12 i so actually gives you a negative 10 i Like so so if you switch around the Hermitian product You'll notice that you actually get the conjugate of the number. They're not equal to each other, but they are conjugates negative 2 negative 2 plus 10 i versus negative 2 minus 10 i and so when working with complex numbers Complex vectors you need to make sure you take the Hermitian product take the conjugate But like I said if you take the conjugate of a real number it just gives you back the Same real number. So really the dot product is just a special case of this Hermitian product Because when you if you if you have a real vector, it's both a real vector and a complex vector taking its conjugate It doesn't do much of a difference. So really the dot product we talked about before for real vectors is a special case of the Hermitian product we have in front of us. So why why the dot product? Why the Hermitian product? What's this big deal about inner products? Why do we need the conjugate? Why can't it just be zero sometimes? What's the issue? Well, let's talk about some properties of the so-called inner product So the first thing I want to mention is the following four properties hold for the dot product or the Hermitian product And so when I talk about inner products You talk about inner products So there's two ways to define inner products one an inner product is any bilinear form that satisfies these conditions right here Don't worry about that necessarily, but basically this theorem could be taken as the definition of the inner product What we're going to interpret it is as the following an inner product is going to be the dot product when you're on the vector space Rn, and it's going to be the Hermitian product When you're on Cn that's what we're going to define to be the inner product and the reason we're allowed to do that is because these two Operations dot product and Hermitian product will have these conditions So the first thing we want about an inner product is we want the inner product to distribute So if you have a sum of vectors then you dot v plus w the dot product The Hermitian product or in general the inner product distributes over vector addition. That's what we want We also want some type of compatibility between the scalar multiplication We already had with this new inner multiplication that we've just defined And so for example if you have a scalar multiple as your second factor inside of an inner product That is the same thing as C times u dot v now Let's be careful what's going on here So this is a scalar times a vector and then we take two vectors multiplied together This right here is a scalar u dot v is a scalar and you times that by a scalar So this is just a product in the field. We want those two things to be the same thing Okay, you'll notice I didn't say I didn't say anything about the first factor And that's because we actually have to distinguish between the two when you're talking about real numbers for the real numbers if you have C u Dot v that in fact is going to equal C times u u dot v There's no distinction there, but when you have complex numbers You do have to be a little bit more careful with complex numbers if you have C u Dot v. This is actually equal to C bar U dot v so you take conjugates on the first factor and remember C bar here That would that that's just the usual conjugate of the complex number So factoring a scalar out of the second factor in an inner product gives you back the original scalar now Facting a factor in a scalar out of the first factor Gives you the conjugate now That's that's really not a difference for the real numbers because if you take the conjugate of a real number It's back to the same number again. No big deal So really this is the principle we want taking away from the second factor is the same taken away from the first factor Takes conjugation just like the Hermitian product in Alright, the other thing we want is that if you take a product of if you take the inner product it commutes But this is also somewhat of a fib This right here. This is actually true for real vector spaces U dot v is equal to v dot u for complex vector spaces We get something a little bit different and what that is is actually when you twist things around V dot u is actually equal to u dot v Conjugate because again this inner product is a scalar and if you twist if you twist the inner product around You have to take conjugations now, of course for a real number Since it's equal to its own conjugate you get v dot u equals u dot v Everything we're saying right now about real numbers is just a special case of the complex numbers now If you were to take properties one two and three this is true for the dot product over any vector space the complex numbers the finite fields any of them Why did we need the conjugates for complex numbers? And why can't we just do this for any vector space that because the dot product formula makes sense for any common vectors? This is this is the reason so these first these first three properties, right? This is some type of like distributive law that seems to be working for the For the the inner product here. There's some type of Compatibility conditions you could say like this is some type of associative property oftentimes. This is called homogeneity And then slas condition right here. This is some type of like commutative property or you might call it the symmetric property Now for complex numbers since it's not purely commutative you might actually say it's like skew commutative Because it's almost commutative, but there's this conjugation that comes into play when you do it for complex numbers All right, so again, those are properties that hold for the dot product in general Why do we need the conjugates for complex and why can't we do this for finite fields as well? Why why so exclusive why so sacred Segregatory in this one here and that's this last condition this last condition number four here This is commonly referred to as the positive definite condition The positive definite condition Which it's really two properties for the price of one. So the first one is naturally the positive condition So we want that you dot you is greater than equal to zero. This is a scalar And so we want the scalar to be positive and this is one of the problems We're gonna have for the finite fields for the complex numbers We need to guarantee that this thing is greater than equal to zero That's that's that's really the positive conditions in the definite condition is the second part You dot you equals zero if and only if you was zero in the first place We only want the inner product of Two of the vector with itself to be zero when you have the zero vector We already saw a counter example that with the complex vectors the dot product can produce zero Even if the vectors not zero the Hermitian product Aha, it won't do that and so that's why for complex numbers We assign the Hermitian product as the inner product dot products for real numbers is perfectly fine And for finite fields, we also have this problem We cannot construct a function that mimics, you know properties one two and three, but also gets This positive definite condition. So the positive definite condition is the motivation on why We are restricting our attention to Only the real numbers and only the complex numbers and in the complex number case. Why do we have? The conjugate the conjugate transpose there We have to do it because it's positive definite condition. So before closing this video I do want to say one thing about why is it the inner product? What what does that even mean? There's a lot of reasons why People call it the inner product I mean it's in it's in contrast to the outer product which will define in a future lecture For which the you know that the inner product goes into the field you produce a scalar The outer product will produce a matrix a linear transformation There's a lot of reasons that you could try to think about By analog. There's some type of pair will going on here But the way I like to think of the following when you define the inner product You get this you transpose V when you define the outer product again This is something we'll talk about in a future lecture. This is defined to be UV transpose So in my opinion, it's the location of the transpose is the transpose in Side or outside of the pair And you know it is that the reason why people originally started saying internet our product probably not But it's a nice mnemonic device to help you if the t's on the inside It's an inner product if the t is on the outside It's an outer product and we'll see the outer product later in this chapter


What is that everybody? Jason here for jazzy's case breaks calm twenty three twenty four upper deck SP game use hockey To box break for ran on teams each number ten guys So again guys, just please note after number nine that was from a sealed case These boxes that we're using here are from a case that we got here But the thing is that it was opened up for personals in the retail store now. I know Teddy did a couple on IG I He did not get a con of a dart so there's still hope for it here But obviously like I said, please note. That's why we put that in there I think that's also why I kind of suffer a little bit But again guys, you never know loose boxes can be great. Look at the mixture. We did friggin awesome from loose boxes So again guys, obviously a total spots everybody gets four round teams NHL same thing chasing con of a dart and all the other bigger Rookies and hits so here's a dice roller. Here's the customer names. We quad quadruple of your names There's the teams we click dice roll. It's a six and a two eight times one two three four five six seven and eight eight times Tristan down to Patrick one two three four five six seven and eight Eight times eight times Predators down the Hurricanes All right, so Trish you have the press Patrick with the Panthers will the Canadians Patrick with the Yolts Will and with the Amalons Tristan with the Flames Patrick the Caps as well as the Rangers Trist with the blue jackets as well as the Ducks will with the Islanders Patrick with the Wild Knights as well Tristan with the Lightning Senators Penguins will with the Jets Redwings We have Tristan with the Kraken as well as the Sabres will with the Sharks Blues Tristan with the Leafs Oilers Patrick with the Flyers Tristan with the Nucks Patrick with the Bruins will with the Stars Patrick with the Devils Hawks Kings and Hurricanes So I'll let you guys see your teams for 30 seconds. No one's really trading in this so Sticks what you got I guess So these are the boxes that we had here guys we took six here One two three four five six, so we have at least three breaks worth. See we can generate two numbers We can use here First one's gonna be two and then one so top two boxes here These four will be for the next breaks guys. I already posted up numbers 11 and then number 12 will be the last one All right Luke Evangelista for the Nashville Predators Uh It's Tristan and then we have a Jordan Everly Spansion Trap Banners for the Kraken for the Trist We got a Ryan Strong to 231 Then we have a Josh Morrissey. That's where the Winnipeg Jets number to 113 Then we have a winner classics Banner year autograph to 25 Casperi Cappanen for the Pittsburgh Penguins Tristan and then we got a boom Jenner Columbus Blue Juggers What a horrible brother Will and Carlson for the Vegas School of Knights Then we have a Adam Oates to 250 deep cuts for the Blues and then Bernie for the Colorado Outlander mascot will with that one prime time And then blues Another one for prime time And then Patrick with the Knights Evan Bouchard to 231 Oilers Tristan All right. Here we go guys. Let's see what we got behind this Walker door and we have a Logan Couture Beautiful three color patch right there out of 25 for the same San Jose sharks Will prime time with the sharks last bomb. Oh, there you go guys. So nobody heard here all those a nice patch there We got a patch autograph here from Banner year But I'm still looking for some big hits guys So again number 11's in the store if you guys want to run it back Jasper's casebricks.com


In this lecture, we'll look at why heat waves are happening more often. Spoiler alert, it's because of global warming. Europe, Asia, and Australia are already seeing more frequent heat waves. Heat waves can cause droughts, which can lead to wildfires and crop failures, and they can be extremely deadly. Did you know that the heat wave in Europe in 2003 killed more than 50,000 people? A study found that human-induced greenhouse emissions made it approximately four times more likely that a summer like Europe had in 2003 would occur. Okay, so heat waves are already more common. But how do heat waves relate to global warming? This bell curve is showing us the odds of getting cold, average, or hot weather. The curve shows that in a normal climate, there are good odds for average weather. That's why it's the average. The chances of getting cold or hot weather are pretty low, making up the wings of the bell curve. Now, if the global average temperature goes up due to human-caused global warming, the average temperature will go up, shifting the whole bell curve towards the hot end. This increases our chances for more hot weather, and the record hot weather now pokes out into dangerously warm territory. Think of global warming as the earth on steroids. If a baseball player takes steroids, I bet he'll hit a lot more home runs. This means a warmer world is a weirder world with more extremes. Our chances of getting home runs or extreme temperatures just got bigger. This graph is showing that by increasing the range of temperatures or making the weather weirder, we've caused a world where we get average weather less often, but we get weirder weather more often. The rings of the bell curve got a little thicker. When we combine the effects of the increase in average temperature with the increase in weirdness, we get a lot more record hot weather. The dark orange area shows that we expect heat waves to be hotter and happen more often. It's likely that human influence on the climate has already more than doubled the probability of occurrence of heat waves in some locations. It's virtually certain that there will be more frequent hot temperature extremes over most land areas in the future. It's also very likely that heat waves will occur more often and last longer in the future. Another contributing factor is that we have also observed that nights are warming faster than days. This is a human fingerprint of global warming because it implicates the greenhouse effect. With the stronger greenhouse effect, less of the earth's heat can escape to space at night. If you've ever spent a hot summer in a place without air conditioning, nighttime is our only chance to open the windows and cool things down. If nights are hot, this is one more ingredient for a nasty heat wave in the making. Finally, heat waves in a global warming world will put more heat stress on people in some regions, making heat waves even more deadly. This is because in a warmer world, on average, it's a more humid world. We know that the heat index or what the temperature feels like outside depends on how humid the air is. When the air is nice and dry, the beads of sweat on my forehead can evaporate easily, cooling me down, but when it's humid outside, my beads of sweat don't evaporate, leaving me hot and sweaty, yuck. This adds to human discomfort and makes heat waves even more deadly, especially in places without air conditioning. So that's how heat waves are related to global warming. However, one myth distorts the evidence for increasing heat waves. The myth is that heat waves have happened before, so you can't say that today's heat waves are caused by global warming. This myth uses the technique of a logical fallacy called a non-sequitur, which is Latin for it does not follow. It means the myth is simply jumping to conclusions. It's kind of like saying, well, humans were dying of cancer long before cigarettes were invented. It therefore follows that smoking does not cause cancer. Clearly, this isn't good logic, just like saying because there were heat waves in the past, today's increasing heat waves can't be related to global warming. Remember, we are already observing more heat waves in some regions, and we expect to see more longer heat waves in the near future, and now you know the science behind why.


G'day. Welcome to Bootlossophy. My name is Tech and I'd like to acknowledge the traditional custodians of the lands that I live and work on, the Wajik people of the Nong'a Nation. Now this video is one that's been requested by several people who have commented when I review Mokto Boots. They asked me which ones are your favorites? How do they compare? So let's take a look at that. So this video has been requested by quite a lot of people. Every time I review my Mokto Boots and if you go to my channel, there's too many Boots for me to put a link up at the top as I usually do. But if you go to my channel and you scroll through it or search for these Boots, you'll find that I've actually reviewed them, except for these two. And whenever I review Mokto Boots, people ask me which one's your favorite? That's a really difficult question because it's like which one's your favorite child and even if you have one, you never say it, right? They also ask how do you compare them? You know, what's the fit like and so on? So I thought I might go through them but the concept is that I'm going to talk about my high-sided Mokto Boots. There is this particular style I think is typified by the Tharagud and certainly the Red Wing 875, where it's a Mokto and it's high-sided to give you some room for working. So although technically Alden Indies are Moktoes, I'm not going to include them in here because they don't quite conform to that that look of that high-side sharp Mokto look. And Parkhurst has also brought out the Niagara, which is in a similar design to the Alden. So it's quite sleek with a Mokto, but it's it's not a high-sided Mokto boot. So what is a Mokto boot anyway? OK. Mokto is short for Mokkasin Toe. They really include boots that are designed in such a way that look like original First Nations Americans Mokkasin shoes where the leather piece that goes around the side actually wraps around the bottom and forms part of the sole and then a vamp piece is sewn on as evidenced by the stitching and then it's stitched. So a Mokto boot mimics that design. It's not Mokkasin MOCK, it's Mokkasin MOCK short for Mokkasin. So they're all typified by having this this stitching across the top of the vamp between the apron piece and the actual side of the boot. Commonly they are wage-sold. I have no idea why, but that's obviously the initial design from Farragut that became Americans America's Boy Scout boot in the 1930s, I think it was 40s and typified by the Redwing 875 and other Redwing Mokto wage-sold models. The kind of card outside the pack is the Grant Stone Brass Boot where you can get a wage-sold, but the one I've got in particular has a commando sole. And by the way, lots of people do convert the Redwing 875s and other Redwing wage-sold Moktoes into commando soles. Let's take a look at the differences in the design, the materials, the price and in comfort. And I'll take each of those categories in turn. So if you take a look at the ones in my collection, I'll start off from my right. I have these Redwing 875s in Oral Legacy Leather. Then I've got the Grant Stone Brass Boot in what's called Earth, which is a waxy commando wax suede. I've just rewax it recently. This one is an interesting one and I'll talk about that. This is Thursday's Diplomat in the rugged and resilient Matt Black. This is, if you know your boots, you recognize this, the Farragut Classic 6-inch Mokto work boot. And then this is new to my collection. This is also from Grant Stone, the Field Boot, which is I think a kind of like East Coast America hunting boot, but it has that Mokto design and it's got high size. So I'm including in this video. So sue me. Let's take a look at the comparative design. I think if you look at these, the most similar is the Redwing 875 and the Farragut 6-inch Classic Mokto. You can see, and I'm just going to put one down, you can see that the way they're both designed, you know, I'll put this in here, you can see the way that they're both designed is that they're 6-inch, they have a wage sole, they have a high-sided side of the toe box area, they have the apron that comes on flat and they're stitching. Now, I think the Farragut is not a real Mokto. In other words, that's one piece of leather, but they've crimped it and stitched it. Whereas the Redwing 875 is, I believe, two pieces of leather being this piece here and the piece that goes around. So that's a real Mokto. Now, there are others who kind of mimic that look, so let's take a look at the Thursday diplomat. You can see the genesis of it, can't you? It's quite similar, except what's happened, of course, is it's been sleeked down to be a little bit more dressy and definitely, same size, the diplomat has a little less room in the toe box. You can easily wriggle your toes in both these two Moktoes. This feels more like a standard boot, extremely comfortable And then, of course, you have the variants. The Grant Stone has the Vap piece, this little apron piece, a little bit more inboard with the stitching around the toe there. So you can see how what I mean by, you know, it goes in a little bit more inboard. And as a result, it creates this rounded toe effect as opposed to this almost right angle toe effect there. So there's a design difference other than, in fact, the outsole. As for the feel boot, as I said, I think this is designed like the state of main type of hunting boots because it's got this extra protective bump piece of leather across the toe. But similar in design, there's the apron piece, there's the sides, high-sided. Talking about comparative materials and construction, let's see, they are all good year-welted and if you're not sure what good year-welted is, that's this piece of leather that you see on the outside. In all of them, they're 360 degrees, which means they go all the way around the outside of the boot. The uppers are stitched to the inside through the insole and the outsole is stitched on this outside stitch here through the outsole. You don't see the stitching in wedge sole boots, just have to check because some do because the wedge sole is glued on to a midsole that's had the good year-welt stitch gone through. The Thursday diplomat is a little misleading. It looks at first almost like a stitch down and I'm not clear whether this is a stitch down or not, where instead of the uppers tucked in and sewn to the inside of the welt and then the welt sewn through the midsole, this looks like the uppers have been splayed out and that splayed out bit stitched into a welt and that's a stitch down construction. I'd be surprised though because stitch down is tricky and more expensive and for 199 that'd be a hell of a feat if they did that. In terms of uppers, we have a range starting with this one from Charles F. Stead. It's their waxy commander which is a suede and ultimately I think it's probably not as durable as oiled leathers or chrome tanned and oiled and veg tanned leathers because it is a suede. It is a split leather. It is covered with a layer of wax to give it some protection and in fact as I said earlier I've just rewaxed this using an auto wax bar and a heat gun to sort of let it soak in. Leading on to a chrome tanned leather from Thursday from La Farbe tannery I believe in Mexico. This is their rugged and resilient so it's meant to be I think a kind of corrected grain leather or possibly a new buck that's been oiled over to give it some protection and then you've got the the famous legacy leather from Redwing. It's oiled in fact it feels oily now even even so. I have conditioned this maybe about a month ago but it feels reasonably oily and therefore quite protective. It's a supple leather although it's firm. Going across to the Tharagud this is tumbled oiled leather. They tumble it to really soften it and the difference between these two is actually remarkable. It's soft enough to feel like you might not get the protection but I think you do. These are clearly work boots and come from the genesis of work boots and then you have Italian veg tanned leather from Badalasi Carlo in Italy and this is their Minerva in a colour called saddle tan. So in terms of uppers a wide variation. In terms of outsoles you have a grand stone rubber outsole, wedge sole, proprietary two grand stone that's slightly softer than the Vibram Christie sole that you get on the Redwing model. This is quite firm. About the same density as this Vibram one on the Thursday and also about the same density as the Tharagud proprietary wedge sole. In the brass boot grand stone uses their proprietary commander sole which is a firm durable outsole. In terms of stitching they're all double and triple stitched where it counts.  I don't think it does anything. I think it's a cosmetic stitch. So in terms of stitching they're always be tightly done. You expect for 199 dollars this may have cut corners but honestly you can't see it. So well done Thursday boots. Now let's move on to the comparative price. Now I need to check my notes. So the Redwing 875 in Australian outlets they sell for $575 in stores. There are actually a couple of stores in Australia one in Perth one in Melbourne and I think one in Sydney that sell Redwing boots and they sell for $575. In American websites they sell for around just over $310 something like that. The Tharagud they sell for US $250. I can't find a store in Australia that sells them but at US $250 that converts to Australian $385 plus postage and at the moment post COVID postage could be anywhere up to about 70 US dollars. So that instead of being a low-range boot this starts to make it quite an expensive boot in Australia. I've seen there is actually a Tharagud Australia website and I've seen them selling for around $320 and sometimes on sale around $200. So if you go to Tharagud Australia just go and Google them and I might put a link in the description below. You might find a few bargains. Then what have I got? The Grant Stone Brass Boot US $380 converts to Australian $585 then you add postage and similarly with the field boot again US $380 converts to Australian $585.90 and this is the outlier that Thursday diplomat at US $199 and converts to about $300 plus postage. So they all fit within that $200 to $350 to $400 range and depending on make and I suppose comparative quality the values of each are really not that different in terms of the value formula. Let's now take a look at comparative comfort. The most comfortable out of these I think is the Thursday diplomat and that's probably not a surprise to you if you know that Thursday uses EVA foam and poron inside the boot which means that when you take it out of the box and you slip your feet in it's like slipping into a pair of sneakers because EVA and poron are used in sneakers. The last is reasonably sleek which means if you're wide-footed you could have a few problems in terms of the ball of the feet. I don't have that problem this fits me quite well but it is snug. Then I think probably the next most comfortable is the thorough good. A large part of that is because of the the insole that they provide you with which is a nice foam insole and it sort of protects you a lot in foot strike and shock absorption. The tumbled oil leather is also extremely soft so it's really very comfortable.  Then the next line in terms of comfort I think the two Grant Stone boots are very similar. I'll just pick up one. The last use in the two are exactly the same it's their Floyd last which is built to provide quite a wide and high toe box to give you comfort in that area when you're walking or hiking or working in these boots. The heel is snug so it keeps your heel in place and then it gradually widens out to the sides. The inside of the boot is leather so it's a leather insole and leather sock liner and then you have the leather midsole you have cork filling and depending on whether you have the wedge sole or the commando sole you also have that to help you with foot strike. The shank in both are steel triple ribbed steel so they give you really good arch support and then I think the least comfortable at least until you've completely broken them in and I'm not even sure I've completely broken these in is the redwing. The redwing mock toe is famously difficult to break in. I didn't find as many problems as others have reported but these are not easy to break in and they're very firm under foot. I've actually had to put a little foam insole just to help the ball of my feet not hurt so much when I'm walking so that's the comfort. So in summary that's how I would compare my high toe box mock toe boots. Do I have a favorite? I think my favorite in looks and aesthetics has got to be the redwing 875 I mean that is a classic. Do I have a favorite? I think the favorite in terms of arch support comfort it would have to be the Thursday diplomat. They've built up that arch somehow with a little bit of I don't know what maybe a bit of leather that gives you a little bit more arch support. Do I have a favorite? I think in terms of going out walking I love these grandstone brass boots particularly with the commando sole they're great for gripping and I think you can just check out my video where I've gone on hikes and these. So do I have a favorite? Not going to tell you. So I hope you like this little comparison. Go to my channel and check out the the reviews I've done on these boots. If you like this video don't forget to click on like and don't forget to click on subscribe. I've got plenty more videos to bring to you. I hope you enjoyed this. Take care and I'll see you soon. Okay


RETAINING EXPERT KNOWLEDGE What to Keep in an Age of Information Overload by Peggy Salvatore, read by Catherine Fenton. Preface RETAINING EXPERT KNOWLEDGE blends two self-published books and goes beyond them to explore the future of capturing and transferring expertise. The scope of the first book, Working with SMEs, gathering and organizing content from subject matter experts, simply established a methodology and best practices for interviewing subject matter experts to capture their knowledge for training programs. It assumed organizations knew exactly the critical knowledge they needed to capture and the people who were carrying around the most important information. However, a few questions arose from ensuing discussions about subject matter expertise that begged to be answered. Are we talking to the right subject matter experts? What knowledge should organizations capture? What knowledge needs to be captured immediately as opposed to eventually? If we have limited resources or limited time, which experts are most important to speak with first? In light of these questions, it became clear the issue of identifying the right experts is entirely separate and, in fact, as I spoke with people about the idea, I discovered it is actually a more critical problem. That led to the second book, Finding Your SMEs, Capturing Knowledge from Retiring Subject Matter Experts Before They Leave. Here's why. This decade, from 2010 to 2020, will see the largest recorded exit of talented and knowledgeable workers from your organizations as baby boomers head for sunny golf courses and extended vacations to enjoy the fruits of lifetimes of labor. In their wake, they leave their former employers understaffed and, even scarier, under informed. In fact, I will go out on a limb here to suggest that we are currently undergoing the largest transfer of knowledge in human history. From the turn of the 20th to the turn of the 21st centuries, humankind experienced the greatest leaps and technological advances in recorded history. From horse-drawn buggies to space travel, human intelligence and creativity catapulted us from a plodding, linear existence to soaring exponential possibilities. Books like Alvin Toffler's Future Shock first chronicled this geometric explosion of knowledge, while Peter Diamandis's book. Sample complete. Ready to continue?


Why narcissists come back? Watch this before it's too late. Narcissists like to come back. They like to play peek-a-boo. They like to hide and then suddenly reappear to give you just enough hope without the relationship actually going anywhere or advancing because they're very insecure, they're constantly in survival mode and they're doing anything they can to survive. They have a scarcity mentality where they think that something is not easy to find or get, where they feel like there's not enough to go around, which is why they're so quick to give up on you because they're not willing to invest anything into you because they feel like they're not enough so they expect you to do everything for them because they're very fragile, they fall apart very easily, which is why they're always on edge. They're always scanning the environment for threats and they also get their value from other people, which is why they need excessive compliments and praise. It's why they always need people to do things for them because they have to get their value from the outside. But if you're not willing to give them what they want, they will devalue you.  They have a persistent feeling of ill will and resentment because they feel like they have been treated unfairly even though you may have done everything for them. It's never enough because they have these insatiable desires, they have these delusions of grandiosity so nothing could ever be enough of them. They will always want more and if you don't keep catering to their demands, they will want to take you down before you get the chance to expose them. Everything they do is for narcissistic supply but they need supply from multiple sources so even if they have someone else, they will still keep holding on to you because they want as much supply as they can but once you've made it clear to them that you're no longer under their spell, they will have no choice but to get it from somewhere else, they will have to seek out a new source of supply, everything they do is for supply and that is why they come back.  They're judging your feelings and opinions before taking further action to see if they can pull you back in, to see if they can get something out of you again and if they think that there's an opportunity for them to do that, they will try to regain their control over you again and they may do this by love-bombing you but if that doesn't work they will make consultant remarks that anger wound to provoke you because that still gives them supply. When they come back they will be seeking revenge, they will be seeking to punish you for leaving them when the narcissist comes back, you shouldn't even respond, you should treat them like a stranger as though you don't even know who they are because they haven't changed and it's not going to get better, they will always be the same, they will always do the same thing, they will just find different ways to achieve the result that they want. Thank you for watching. If you found this video helpful please give it a thumbs up, share your thoughts in the comment section, hit the subscribe button to receive the notifications. If you would like to support the channel you can donate at paypal.me-nax survivor. You can book a one-on-one with me on my website. It's naxsurviver.co.uk. Thank you for watching and I'll talk to you soon.