The third lecture, and the aim for the last two lectures is to give you an outline of a proof of unique intonation, kind of three sphere serum or three ball serum in the station when the smallest sink is not a ball but a measurable set. It's not a new proof of three spheres. We will use heavily that we already know three spheres in the classical form. We'll use the monotonicity of the doubling index, but now we want to replace the small set by measurable set. I will start with Remus inequality. Some of you already heard it today in the morning. It's not necessary for the proof, but it gives you a nice flavor of what we're going to talk about. Now I'm talking about polynomials on a real line. I have an interval i and r and a measurable subset of this interval. Then we claim that for any polynomial of degree n, you can estimate the norm of the polynomial on the interval if you know the norm on the set e.  But to prove it in this form is not so easy. The truth is that Chebyshev polynomials are extremal here. So you have to look at Chebyshev polynomial on, say, minus 1, 1, see how fast it grows from this interval and it will give you the right estimate. If you are following the problem sessions, you will be guide through the proof of this estimate in one of the problems. It's a very elementary thing to prove. So this is Remus inequality for polynomials of degree n. Show now how to use this one to do propagation of smallness or quantitative unique continuation for harmonic functions. And the key point is that if you have a harmonic function, you know how to approximate it by polynomials. It's real analytic. So what I'll write down is that there is an upload constant and a function on 0 or not, such that for any harmonic function in the unit ball, if you approximate this function by a polynomial on a small ball of radius r, you can choose a polynomial such that the maximum over r times the ball is bounded by constant q of r to the power n maximum of function over the unit ball. You can just write down Taylor expansion, estimate the derivatives, and take pn to be the Taylor polynomial. See what you'll get. You can say that if you have a harmonic function in the unit ball, estimated by some constant, you know that you can extend it to complex function in if my ball was a unit ball in rd. I can extend h to a harmonic function in some domain in cd. If this was my ball in rd, I have a kind of nice domain in cd where I can extend my function with a control. And then classical Berstein-Walsh theorem tells you that it means that you can approximate by polynomials with this kind of thing. But for harmonic functions, just use series over harmonics and estimates of the derivatives in usual form. And if we know that plus rms inequality, we can do quantitative unique intonation from sets of positive measure for harmonic functions. About what I need about q is that q of r goes to 0 when r goes to 0. And I choose my r0 so that this q of r0 is less than 1. It's a decaying function, thank you very much. So this is a nice small parameter and goes to 0 when r goes to 0. So now I suppose that I have a harmonic function and I control it to know some set of positive measure. I want to extend this estimate from this set of positive measure to a small ball. I'll assume that my set E is a subset of r0b. Or let me take some r here. Then I claim that there is an estimate of this form, like in the three spheres that we have seen many times now. Gamma is from 0 to 1 sum parameter depending on r and the measure of E. So gamma and c and the measure of the set but not on the geometry of the set. It's a simple exercise to combine those two to get this one. The only thing that I should mention is that you can easily generalize rms inequality to high dimensions. You just take slices, look at your set, look at the polynomial. If you have a subset in higher dimension, there are many slices where you know that the measure of the intersection is large enough. You can extend estimate from slice to interval and then do the opposite thing. So there is a simple way to generalize rms inequality. You'll get a new constant here and d will appear in this exponent because you have to iterate it several times. But combining those two, you can have this kind of estimate. Before I go further, I want to rewrite this in a more nice way. So I have maximum over ball, maximum over smaller ball, and maximum of the set E. I want to rewrite the last estimate so it looks more like the first rms inequality and the claim that this estimate follows from the following one. The maximum of rb of function h is bounded by maximum over the set. And here we'll have constant, constant measure. I'm trying to write something that looks like rms inequality and what should I put now here instead of the power of the polynomial? It's exactly the frequency or doubling index. Roughly speaking, the ratio that I have here, you can rewrite it in terms of the doubling index, the ratio between those two. If you do it carefully, you see that this estimate implies that one. And this is what we call rms inequality for harmonic functions. Sorry? Yes, E is contained in rb and h is harmonic in the unit ball. We think about r as a small one. So it's another demonstration of the fact that the frequency plays a role of the degree of the polynomial. Frequency of harmonic function is a doubling index of harmonic function tells you what kind of polynomial it looks like. And what the claim is that we have the same without real nudity. In this outline, how to prove this kind of result, I was referring to the fact that I can approximate the polynomials in a very good way. There is no such good approximation for elliptic equation. There is a approximation, but not as nice as here. But I claim that still the rms inequality holds. And if you have solution to elliptic equation, as before, my A is uniformly elliptic, uniformly elliptic. Symmetric, no other terms than this one. Suppose that this is in the unit ball. E is part of the small ball. Then we claim that the same holds maximum over rb. h is bounded by h is u. So maximum over the ball is bounded by the maximum of the set of positive measure times this exponential thing. And this implies three-ball theorem. This is joint work with Sasha Luganov. It's an archive that appeared this year, probably. So let me rewrite it once again. So there are lots of reformulations, but all of them are just the same thing. So instead of proving this inequality, I prefer to think about that one that is rms. And instead of thinking how to extend, estimate from set of positive measure, I want to find what is the measure of the set where the function is small. So reformulation is the following. Still have solution of this equation. Say, well, renormalize it so that the maximum is equal to 1 in the unit ball. And I'll consider a set of points where the value is small. And I'm saying that this set is not very large. I have an estimate of the measure of the set where the function is small. This is when a goes to infinity, a small and smaller neighborhood of the zero set. And I'm saying that I now control this measure. And it will go to infinity in the rate some absolute constant, 8 over n. So the constant c and beta, they depend on the elliptic constants in the operator. Yes? H over 2b, but is h only defined on b? Right, you're right. You're right. Let me write it. H over b over 2. Well, we're always in a small thing, probably here. We'll also have to add our estimate with half of the ball. And this will be half of the ball here. Now it's the unit ball. Yes? Before I'm going to give you the ideas of the proof of that one, let me go back to the lecture on Tuesday and tell you something about the connection of the doubling index and the control of the zero sets. We'll not use it, but we will borrow some ideas from what was known before. So we'll go pause for a while from the proof of this one and go to doubling index and the length of the nodal set. There is a lemma that I'm going to use, but I want to formulate it. Suppose that we have a solution of our elliptic equation and we control the doubling index. Then there is control of the zero set, both from above and below. Assume that I'm taking some ball. Radius of this ball will be r. And there is a function of n times r to d minus 1 and another function of n times r to d minus 1. This is a relatively old result. This estimate is simple if you allow f of n go to zero when n grows. And there is really conjection, Lukanov's theorem tells you that you have uniform control here. But the result was known before that you can control this if you control the frequency in some way if you allow this function to go to zero when n is large. There is also control from above. Thank you. Should be zero at zero to know that we're not talking about positive solutions. There was also initial estimate from above due to Hart and Simon. And it's a very nice paper where solutions of elliptic equations are approximated by polynomials on a very small scale. And you can get some kind of estimate, but their function here grows more like n to the power n. But it tells you that if you control the doubling, you at least somehow control the zero set. You have some estimates on this one. If a is real analytic, you can do more than that. And you have a very good control from above. All the same assumptions for real analytic case, this is bounded by n times r2 d minus 1. And it's due to Donald and Hefferman. And they were using it to prove Yau's conjecture for the case when the metric is real analytic. To prove estimate from below in real analytic case, they use the following nice thing. Now, suppose that we are on a compact manifold. We already know that the doubling index for each ball inside is bounded by the eigenvalue, the square root of eigenvalue. So we have a compact manifold and we have an eigenfunction. Suppose that you cover your manifold by balls and compute the doubling index for each of them. Cover it so that when you double the balls, you will still control the multiplicity of the covering. If you sit and think for a while, you will see that there is no way that all balls have very big doubling index. If you have a lot of doubling happening around each point, use the fact that an infinity and L2 norms are comparable. Think about L2 norms. If you double each ball and your L2 norm grows much, you cover everything initially. When you double everything, you cover it finitely many times.  But what they noticed for real analytic metric, so I will add real analytic here, cover the manifold by balls, produce the scale of one square root of lambda. Approximately, we know that in each ball like that, there is a zero set from the first lecture. And we assume that it's a fancy way to write down that when I double the ball, I have control of the multiplicity of the covering. Some of the characteristic functions is bounded by a constant. And then from these balls, there are many with small doubling index, all right, 1 over c, part of the balls. You can convince yourself that there is at least one ball where the doubling is small. Take the ball where the maximum is obtained. But what they claim that if the metric is real analytic, then you have many balls. There is a portion of balls where the doubling is finite. If you combine it with this estimate for the nodal set, you'll get estimating yaw conjecture from below for real analytic metric. And it was how it was done originally, but don't learn from it. But the idea is that you have to hunt for balls with small doubling index. You know that globally the doubling index is bounded by square root of lambda, in this case, by our global doubling index in the case of solutions of elliptic pitties. And you want to find balls where the doubling is less than this maximum one. So now we go back to quantitative unification.  It's much easier to divide everything into cubes than into balls and then think how they cover everything. So I'll define the doubling index for a cube and a function, say function h cube q, first like the log maximum over h of q. And here we'll take the cube and take a large copy of it. I don't want to double it. Technical reasons, I want to multiply it by a constant k to tell you the truth. What we want is that if you have a ball that is circumscribed over the small cube and then ball that is inscribed into the large cube, the ratio is like two between those. Then you have to multiply a cube by a large constant depending on the dimension. So this is a doubling index for a cube. First observation that we'll do that is true for any function at all, is that if you have a function in a cube and you suppose that for each cube, the doubling is large for each small cube. So I will consider a function in a cube. Divide this cube into many small cubes and say that if for each small cube, the doubling is large, then on the big scale here, the doubling of this cube is very large. Let me try to formulate it carefully. So we have a function h is a bounded function on cube q. q is partitioned.


Hey everyone, welcome back to Nintendo Prime and we got some fun stories for you today. Three pack of stories today, one dealing with Pokemon, one dealing with Nintendo, making an acquisition, and then a third that's tangentially related, but hey it is about Super Mario Odyssey so that's always fun. That being said, before we get into that I want to remind you we are giving away a Nintendo Switch OLED, a PlayStation 5, and an Xbox Series X. You have time to enter from now through the end of March. This was our February giveaway, it has been extended just due to extenuating circumstances that have led to the studio being renovated and obviously not having the time to put into the giveaway the way that I had planned to, but that's okay, it just gives you more time to enter. We're still giving away a PlayStation 5, Xbox Series X, or Switch OLED to one lucky winner. You just have an extra month to enter. That being said, let's get right into these stories and the first one, the big one, the one that just popped off this morning and all of you have been waiting, maybe even anticipating for is a Pokemon Presents, aka a Pokemon Nintendo Direct. Now we already knew they were doing daily announcements leading up to Pokemon Day, which happens in February every single year, and yeah, they didn't really announce at the very beginning. There will be a Pokemon Presents at the end of it. However, we kind of expected it because they have done Pokemon Presents several times on Pokemon Day, which this year is February 27th, which lands on a Sunday. And that's exactly when the Pokemon Presents will be happening at 8am central time. It will be 14 minutes long and you know we will be live reacting to Pokemon Presents. Maybe. It's gonna be an interesting time because I'm not so sure if my studio will be put back together, but I will attempt to get some sort of set up, pseudo set up going for Sunday at least to at least give you that, you know, react with it. You know, I don't want to, I don't want to let the lack of studio prevent me from being able to live react with all of you to that Pokemon Presents. As for what we can expect at that Pokemon Presents, I think the safe bet is to get some Pokemon Legends DLC. On that, it's anyone's guess. What people are probably most looking forward to besides Pokemon Legends DLC is any potential announcement of a new game for this year, be it a Generation 9, be it another remake, let's go, whatever they have in store because chances are the Pokemon Company probably has something coming out this holiday season. I guess this is where we find out, are we gonna get Detective Pikachu too? Are we going to get another Pockin Tournament game? This is where we find out. The big announcements happen from Pokemon at Pokemon Presents or Pokemon Directs are essentially the exact same thing. So I can't wait to see. This is going to be a really fun thing to look forward to on a Sunday of all things, right? Sundays, man. What's up with the news on Sundays? I, hey, I'll take it. Next up, we have another bit of news that you guys might have heard already this morning. I'm not sure. I will say it's not the biggest of deals, but Nintendo has acquired SRD. For those who don't know who SRD is, they actually work right out of Nintendo's headquarters. Of course, so does Game Freak, and Game Freak still occasionally makes games besides Pokemon. That being said, SRD has actually been working with Nintendo longer than Game Freak and the Pokemon Company even existed. SRD has been working on coding Nintendo games since 1979. And now you might go, okay, what's the deal with this company? Well, the history of SRD essentially goes back to the fact that when Nintendo got into the video game, you know, Kingdom, they didn't have programmers. Nintendo didn't actually have anyone on their staff that could program video games. So they hired SRD to be the programmers behind the creative visions of Shigeru Miyamoto, which obviously this includes the original Donkey Kong back in the arcades. So they've been working with Nintendo since 1979 and working out of Nintendo's headquarters since sometime in the 80s. And to be honest, it's essentially already a Nintendo company and they've been working exclusively on Nintendo games for over 30 years, but they did make the acquisition official today. It was announced on their company, Twitter. So yeah, they now fully own SRD, which was technically operating as an independent company. As for the reasoning for why SRD is being purchased at this point when it's obviously been a well-working relationship for 30 plus years. No one's really sure. There are some rumors floating out there that there were some inquiries from other outside companies into potentially purchasing SRD. And that obviously, you know, Nintendo said, Hey, if anyone ever comes after our partners, we'll step in and stop that. The approval for this doesn't go through until about April 1st of 2022. So it's going to be a little bit of time before the sale is complete, but I can't imagine there's going to be any issues here. They already only work exclusively with Nintendo and they already work outside of, you know, inside of Nintendo's headquarters. So it should be a rather seamless. If you want to know some of their more recent work, they were the company that helped code and create Ring Fit Adventure 1.2 Switch. So they do make more of the casual family friendly games at this point. They also help out all around Nintendo and they've had their imprints over the years on all of Nintendo's major IPs, whether it's Star Fox or Metroid or Zelda, Mario. They've really kind of monolous off it back in the day where they just kind of had their imprints on everything. Now obviously they do operate as, you know, their own sort of development studio inside Nintendo, making things like Ring Fit Adventure and 1.2 Switch. So we'll see what they have in the works obviously next, but this is obviously good news for Nintendo. They get to retain one of their core developers. I don't think there was ever a racist company who was going to go anywhere, but it's sort of like next level games. It just, it's one of those acquisitions that just made sense and obviously was a bit forced because if other companies are trying to inquire about buying them, Nintendo is going to feel forced to keep that development talent at their studio. So that being said, let's get into the last one. And this is a fun one because we get to talk about a little bit of something outside of Switch, but it's got some tangential relatedness. And that is Super Mario Odyssey and Elden Ring. What do these two have in common? Well, in the last 24 hours, what they have in common is trading places on open critic.com. So Elden Ring reviews have come out and they are stellar. Essentially, if you want to know what Elden Ring is, imagine the best of the best Dark Souls has ever provided from a gameplay perspective given to you in a fully open world. Elden Ring is made by the makers behind the Dark Souls IP. So that's not too surprising. But yes, it is essentially the quintessential Dark Souls fan game. And Elden Ring is reviewing incredibly well. I think it's like the 14th or 15th highest rated game on Metacritic. But what really got people buzzing was when open critic themselves tweeted out that Elden Ring had become the highest rated game in open critic history. Now that was at the time when there was only 40 reviews. Since then, there's now 110, 115 plus. And it did drop a point behind Super Mario Odyssey. Super Mario Odyssey took over back in October 27th of 2017. When it came out, the reviews put it at the top of open critic at 97. And yes, now Elden Ring is situated there, tied with a number of other games at 96 on open critic, including Grand Theft Auto 5, Red Dead Redemption 2 and The Legend of Zelda, Breath of the Wild. Now, technically, its position on the list being at number two ahead of things like Breath of the Wild at number three is an indicator that it is percentage points ahead of Breath of the Wild, just not enough to maintain a 97 rating. So this is really awesome to me. And when you look at more recent releases, like another potential game of the year contender in like Horizon Forbidden West, that is still a full seven points ahead of that. And you consider that we might get Breath of the Wild 2 this year. It's going to be a lot of fun debating over what is the game of the year. I still stand, by the way, that Pokemon Legends Archie as well. It's nowhere near the top of the ratings list. Should be in consideration for game of the year. I also think some of the debates out there, like putting down Horizon Forbidden West because of Elden Ring or putting Elden Ring down because of Horizon Forbidden West is absolutely silly. I don't think the games even remotely belong in the same conversation besides the fact that they're open world. Imagine putting down Breath of the Wild 2 because of Elden Ring or putting down Legends Archie because of Elden Ring or putting Elden Ring down because of Horizon or Zelda or Splatoon 3 or something crazy like that. So look, I think all these games are amazing. I'm glad that gaming is in a good place. I'm thinking about this. We're in 2022 and a game released that for a moment was the highest rated game in video game history. I think it's safe to say in 2022, we are re-entering or reinvigorating or potentially having one of the greatest games or one of the greatest years, I should say, in video game history. We already know what Nintendo's got cooking, right? It's going to be a baller year there. But Sony's got things cooking, third party's got things cooking. And yeah, so does Microsoft. Hello, what's going to happen with Starfield? Looks like it's going to be a potential goatee contender as well. There is so much goodness coming this year. It feels like we're finally over that pandemic hump that might have been holding back the industry a little bit the last couple of years. And now we're getting all the great games. So this is going to be really exciting to see what happens. And I can't wait to have that game of the year debate with all of you guys at the end of it. I can't wait to dive into Elden Ring and Horizon Forbidden West, which I am holding out until I get another PlayStation 5. And then I'll be deep diving into that game as well. Probably over the summer. I can't wait, guys. We have so many great things to play this year. We are truly blessed as gamers at this moment. Congratulations, by the way, to From Software and all the hard work they did on Elden Ring. I know it took many, many years to put that game together. I'm glad to see the fruits of your labor paying off in the review scores. We'll see what happens with the user scores and fan opinions because, you know, the game's not technically here just quite yet, but I am really glad to see that it reviewed extremely well. I'm obviously happy for Sony and the Sony fans and obviously how well Horizon Forbidden West reviewed it hit 89 on OpenCritic. And obviously we all know as Zelda fans, as Nintendo fans, we have so much to look forward to. We've already had a baller start to the year with Legends Arceus. We have Kirby and Mouthful Mode coming next month. And don't forget about that triangle strategy. Sneaky game like Octopath Traveler could sell extremely well and will likely be a really, really good game. But if you're not in that HD2D old school turn-based RPG stuff, strategy stuff, that's fine. That's why we have Kirby, Mouthful Mode. And is that going to be the greatest Kirby game of all time? I don't know. We are having a crazy year as gamers. And I think everyone should mostly be happy. So at least when it comes to playing games, I think no matter what platform you own this year, PC, you know, even your mobile devices have some good stuff coming out this year, look, everyone wins in 2022. And I think that should be the mantra for this year in gaming. Everyone wins. All right, folks, I'm Nathan Der Rubble, Jance from The Tender Prime. Thank you so much for tuning in and I'll catch you in the next video.


Good go kev. I'm sorry about that, buddy. I Guess the sound was off. I didn't realize it So okay guys, I mean I'm not gonna report it again, but basically obviously just like any other break Remember we're gonna give away nine spots. We're doing the cello pack 21-22 prison NBA cello break number eight But obviously you guys are able to see it. You guys just weren't able to hear me commentate, but it's no worse Thanks for reminding me kev. I usually always on I didn't even notice that it was off It's not like you guys didn't see the video. It's just the news on all right anyway This is what you want to hear though, right top nine get into hip raid. So here's a dice roller. Here's a customer names roll Four to two six times. Good luck top six or top nine, but after six times get in one two three four five six Six times six times top nine. Oh Just missing out Eugene. Sorry about that, buddy, but Tim you just snug in there Chad Chad Tim Scott Tim Mickey Chad and Chad There you go top nine are in Thank you guys so much Kevin I wish you were much higher man, but hopefully you get good karma in another break But I think you guys sorry about being on mute like I said We have one more filler to do and then it'll sell the break guys. Thank you


I have really enjoyed this symposium because I've heard so many inspiring stories about why women's peace and security matters and why it's a fundamental challenge. It's critical if we're trying to build national security, we must protect all communities. And this is about human security and protecting human rights for all people.  And their potential to contribute to sustainable peace is also essential. This is not a nice to have, this is a norm that the United Nations and a broad mandate from the UN made clear in the Security Council Resolution. And we need to fulfill that vision that women need to be part of peace and security protected, participating, and contributing to sustainable peace.


I'm going to show you another way to manage or add files to your Google Drive. So we already know that you can just go to drive.google.com and use the web interface. And you can drag any files right here into any folder. You can delete files. You can do anything you want to organize. You can also use your PC desktop to do the same thing without actually having Drive open. So I'm going to go ahead and shrink Chrome out and get rid of it for a minute. There are two ways to get to your Google Drive now. This has been pushed out through Gull Lake. If you have your folder icon open down here in the bottom of your dock, you can just click that and you can find it. If you don't have that pinned, you can go to your Windows icon in the bottom left corner, your start button, and then you just go up to where it says My Documents. So you click on your documents, and then you'll get the screen that'll show what you're looking for. And just go down here to where it says Google Drive. It'll be your G Drive. So when I click that, I will see just like I'm in Google Drive. So I have my shared drives, and I have my regular My Drive. So if I went to My Drive, just double-click, here are my folders. So my blog, my publications, down to Explore.  So those are always synced, almost instantaneously. So normally in the past, I would open up my browser, then I would make it small or I'd drag it over here, and if I wanted to put this GIF over there, this image, I would just click, drag, and have to drop it in. But sometimes you don't have time to have your browser open and minimize it and do all that. All you have to do is bring this screen up. I can take that classroom-rich text, drag it over, drop it in here, and if you look, you can see right now that it is doing this little blue circle. That means it's updating, and you'll see in a second it turned to a cloud. That cloud means that it is, in fact, updated. So if I go to My Drive in Chrome, that picture is now there. So it's a really easy way to take things from your desktop PC and upload them to Drive without having to use the Google Chrome interface. Now here is your warning. Just like if I'm in My Drive and I delete something it removes, if I were to go back to here into this PC interface and I click on that picture I just uploaded and I delete it. So now it's gone from my PC, Google Drive, my G Drive. If I go back to the web interface, you just saw it disappeared. So that is the warning. Anything you do in the web interface affects your desktop interface, and anything I do in the desktop interface affects the web. They are completely synced. So if you were to remove something from Google Drive in Chrome, it removes from Google Drive on your computer. Same thing if I remove from my computer, it will remove from the web interface. So keep that in mind. Don't go cleaning things up in one of them thinking that the other one would stay. But it is just a very easy way to drop some pictures in or some files or PDFs that you have on your desktop. You can easily add them to your Google Drive without having to open up Chrome and do that.


All right. Good morning cyber traders. Welcome back on this Monday. We're in our second week of Christmas. Hopefully you guys spent some of that good money you made this past couple of months in the market. How's everybody doing? Good to see you all Mike. Good to see you Bonnie everybody. Go George Wayne. Good to see you all cyber traders and welcome everybody here on YouTube Facebook live. We're going to get right into it. We'll have a nice little pop right now that's going on with this BCRX. You know it is a Monday Mondays and not always the greatest days to trade. A lot of companies don't like to come out with news going over the weekend. I don't think we heard any bombshell things that are going on. Politics obviously have died down a little bit. But the coronavirus is obviously getting pretty pretty bad. All right. So you know guys be very very careful out there. I know a few people that did get it. God forbid no one no one's had got awfully ill from it. But you know obviously it's going to look like it's going to take a big toll on what's going to happen. And you know unfortunately could probably could affect the holidays going into this this year. You know unfortunately but but anyway there are but there's always no other safer place to be then right here.  Got a couple of stocks that are making some nice moves. But before we do that I want to talk about what happened last week. Now I know we have a lot of new members that are joining us here at Cybertrain versus is your first week here at cyber trading. So if you are doing your trial all we could tell you is look listen and learn. Do not buy anything or trade anything that we're in.  You're not here to see you know who fouls though or Josh or John or go rich or all the instructors. You're just here just to see if other people in the trading room make money doing it. I know you hear some good things and bad things about trading and you don't know what to believe. But you know maybe you took a course of somebody else to work out or maybe just too much chaos. But we're a very very tight group. We're a family oriented type of group. You do some 25 years to sit back watch and look and learn. And most importantly make sure you have your appointment book with your education advisor so you can explain to you what's going on. All right. So you're not just sitting there. And the big thing you got to focus on because I was speaking to somebody I want to kind of not to bore you with this but one thing I do want to bring up. Don't focus too much on our voice commentary and also don't focus too much on the charts. OK. Look at the chat on the bottom. Look at the other students in there. The other traders how they collaborate with each other and how they interact with each other. That's what you have to focus on. All right. Because I want to make sure that you all know what you're getting yourself involved in because trading is the greatest job in the world. It also could be a horrible deadly divorce that can cause you a fortune and that's what you want to do. All right. But let's talk about what happened last week. There were a couple of stocks that did pretty well. I want to start off with the OXY trade right there. So I just want to touch upon what happened last week. So we had a pretty nice pop in that one. You could see that stock at one o'clock ramp in 1760 to 1860 was a pretty decent move. It wasn't you know it wasn't a great move but it wasn't nice for a Friday afternoon. And we got to remember that for a Friday there are a couple of stocks that do make good moves and don't move. Let's talk about a pump and dump. You hear those pump and dump stocks. Well the HGSH was awesome. Great pump and dump stock. It was unbelievable in pre-market. It popped right out of the gate starting at $1.50 went to $5.50. And then the story was over. So the stock started backing off came right back to where it started. It was a fun pump and dump. That's why people like day trading that listen you made your money in the pre-market. It didn't work in any F hours and that was it. You were done for the day. Actually that was probably the only stuff that was probably the stock I just trade. I was done for the day. OK. China HGS real estate did not know that name. You know. Interesting. All right. I'll just leave it as that. All right. A couple of the shipping stocks did pretty well to tops.  Nice cheap level one stock and and ship also know what they made all going up. But they all move pretty nicely. These shipping stocks took a big beating. And then obviously DORYS ate that stock. I can't even spell it. Anyway it's delisted. Thank God. I don't have to hear about it anymore. All right. Uber obviously doing really really well.  Lot had to do about the what happened in I think personally what happens in California with that new that new. What would they do a a lower that came out that didn't pass and it worked out pretty well with Uber. So I think it's going to spill over. So Uber finally to go nowhere for so long. But now it's finally making a big move. And that was nice. And then also airlines airlines airlines airlines airlines they all done really well. And remember not only do we day trade but we swing trade. I keep telling everybody this you want to be a very good swing trader but you're scared to day trade. You know what you got to know what happens over the course of the day which trickles into a swing trade. We also did pretty well on the riot to just kind of point that out. Riot obviously you can see that's been a great swing trade for us. That one's been breaking all time highs already. Well not all time. I will 52 because I would say but you know if you can't get into that Bitcoin definitely want to keep an eye on those two. Those also did pretty well. And with a couple swing trades that we did. Nikola was probably the best when we get out of that thing has just been dead. So I'm going to keep an eye on that stock. I'm still a fan of it. I'm going to keep an eye on it. But it was good thing we got out of it when we did. All right. So let's go hop over here and talk about what's moving this morning. So we had a lot of stocks that were on the pre market list. But now they're also you know now I'm separating from the A list and the B list. So when we look over here we're going to start off the A list and then DM was one of them that obviously took a really really big hit.  I want to keep an eye on it's a nice level one stock you get in and out of it. It's probably not the hold on me just changes to a one minute tribe looks a little better. You could see the stock got crushed and starting to make a little bit of comeback. So I kind of like bottom fishing. You know so this one probably good for a lot of beginners out there. Oh and CT. Here's another one. One of the one of the better ones this morning. It was on the morning pre market watch list. If you were here around 8 o'clock this morning and you got in at 320 you probably giggling right now. Up about a buck on that stock right now. So that one is still look strong. Look on the right hand side. Look at the level three. Look at those orders being being being being a lot of orders going on right there. Nice little moving stock BCRX. Another one. This is probably our biggest winner so far this morning. I know a lot of people made some really good money on it. A couple of shout outs over here. Grant you did pretty well on it. Gary Smith got in at 618. Congratulations on that one. Who else did pretty well. Oh Deborah McGuire did pretty good. She got into the ONCT. I'm just looking at all these orders right here.  Let me just bring this over this.  They don't see it. I know you want to see it but we'll see it eventually. You have to bring this over. You can see right here. I'm just going to bring this over. You can see how you know Wayne jumped into it. Greg jumped into it. Granto is a big big pop right there. So you can see how the people are in there. Ron you got out of Kodak. Good for you. That's what I'm going to put on the that one's going on the B list. OK. But we're going to talk about Kodak also. So there's not a lot on the A list. Yes. But let's go hop on the B list. We know the B list also will pop into the A list depending on how the market opens up. So let's start off with that one. So this one was a top of my list on the pre market. But then she kind of died. But remember she is a penny stock which also officially never put in a list never put on the A list. All right. BTEC another one gapped up pretty nice 66 percent 3.8 million shares. I like the level three. Look at that. Not a lot of algorithm trading. Not a lot of black dark pools and and you know out there. But it's got a it's kind of flat right here. So that's why I didn't make my A list is back on my bay list. But we've seen this happen before. You traded it back in the beginning of November to stop from three to ten dollars a share. It was awesome. You guys killed it. I recommend you if you if you were a student back then which most of you are go back and just check on the journals and see what notes that we taught you what to write to see how you traded it and see how you did with it. And the key is not to make the same mistakes if you missed out on it. Here's another stock. I didn't like the I don't like the pre market charts very spotty very spotty there. But you could see that it is up about 13 percent 1.3 million shares. You know that's why I made my A list. The M T N B is another one that came up and showed up penny stock went back on the A list. Like I told you it's not a really good Monday so far. But we're going to talk about it. Golden from YouTube is asking me about the Kodak. So listen Kodak. Listen you got to be careful with this Kodak. All right. Because I mean I guess the news came out that they didn't hold them liable for the mistakes that they did. But we made so much money in Kodak. And I think people still live in the glory days that oh maybe Kodak is going to be the next SPI again. Listen this stock once again if you did your homework and what you would train cyber traders go back to your journals. You know the stock very well because we did not only trade this back in August. OK. Or the end of July. But we trade it back in September. It did the same head fake. It did the same head fake in October. You know. And it did it again November. So we very very tricky. It's always seems like it's always more of a short than more of a long.  And I think they just made those super Polaroids. I didn't think they got it. I mean apparently they had their feet in everything. So I don't know what was but sure didn't go too well for that stock back then. But I know a lot of people that pretended to be day traders and they thought they were the best thing since sliced bread. And then all of a sudden you know they blew up their accounts. All right. I remember you know I had somebody I was talking to the other day was so looking forward to it. He goes oh I own Kodak I don't quit. And it was like a very weird story. It just so happened the guy never took training jumped into Kodak was break how much money he made. Three days later I didn't hear from him ever again. OK. And I wonder why. And he wasn't a student. Somebody thought that oh I don't need training. I do it myself. OK great. Let me know how that works out for you. Obviously never dealt with something that was a short squeeze. So anyway.  Not a lot going on in the pre market. This is Monday. Let's be very very very very picky what we do. Don't and listen we always make money but you saw what happened in September. So what happened in October. So what happened you know in November.   Now obviously the vaccines out. You know what's the market to market. So you know hovering right over 30,000. It's not the greatest most time to be aggressive. I'm going to repeat that over over and over again every day we do this. And and also to let you guys know it's the best time to learn the best time to learn. You know think of spring training.  And so I want I want to play now. You got to practice the best time to learn. So if you're new here to Cybertree University. There's no better time to start making sure you review new classes and going over it because January is going to be a another crazy crazy crazy month. And that's where that volatility is going to pick up again. All right guys. Anything I'm missing I did not call out. Anything else. Who's like to ask that somebody here on Facebook. What do you think of Tesla. Well listen. Tesla is breaking all time highs. It's almost there. It's pretty much testing it. It breaks. It's going to break out. There's all the stocks out there that trade side by side with it. But but we don't trade Tesla. And I will never even and don't need to tell me about options. Why go out there and risk on a six hundred dollar stock. If you like it as an investment go right ahead. But there's a lot of the stocks out there. You know that are cheaper that you know it's all about risk to reward. You know it's a great winner. Stock did great. I'm very static. But Elon Musk you know being the second richest person in the world at my age. You know it's a great thing. It's a great thing. But I talked about last week. I know you probably that's why you bring it up. You know listen. Don't focus on the the what's moving in the morning. Because remember the goal is you're here to make a day's pay. That's about it. All right guys. Good luck today. Be safe. And then before we go I just want to just tell you this. We got what do we got going over here. Oops. What happened here? Somebody took it off. Okay. I just want to bring this up. Just bring this up to remind everybody. So we got two big events that are going on this week. We have the multi speaker event that's coming on on Thursday. So don't miss it. Register. You can do it on our homepage or our website. We'll post that link up there. And then also traders talk for everyone in the cyber group room almost popular event for the week where we were we take some of you traders and we review it and we share it with you and let you know what the strategies with the Q&A strategy with Josh. So we got two big events today. Oh and then also for some of you that are in the cyber group room whoever follows book map I'm going to be doing a an event with them tomorrow at 10 o'clock in the morning. It's not on here. But if anyone here is trading on level four I will be on book map to talking about a couple strategies on how I use book map.


I mean I move on to the next item of business, which is consideration of motion 1254 in the name of Nicola Sturgeon on the appointment of a junior Scottish minister. I call on the First Minister to speak to you and move motion 1254. Thank you, Presiding Officer. I'm pleased to seek Parliament's approval of the appointment of Michael Russell as Minister for UK negotiations on Scotland's place in Europe. Early this afternoon I set out our programme for government, our clear commitment to deliver on the manifesto commitments that we were elected on, but we have to acknowledge, as I did earlier, that we do so in a context that's very different to the one that we expected in May. On 23 June the people of Scotland cast a clear and decisive vote to remain in the European Union, and this government is committed to ensuring that Scotland's interests are protected. As part of our response to that vote, Parliament mandated the Scottish Government to hold discussions with the UK Government, devolved administrations, EU institutions and other member states on how we do protect Scotland's interests in our relationship with Europe. Tomorrow I'll provide a full update to Parliament on recent developments and the work that the Government is undertaking. However, Parliament is already aware that we have a commitment from the Prime Minister that the Scottish Government should be involved in the development of the UK Government's position ahead of article 50 being triggered and beyond, and the options to protect our relationship with Europe will form part of those discussions. We intend to see that commitment honoured. Of course, there is still a woeful lack of detail from the UK Government on what Brexit will actually mean. Whenever somebody comes out with any semblance of detail, somebody else in the UK Government, as is the case today, seems to contradict them. However, as the position develops, it is essential that Scotland's voice is heard loudly and clearly. Today, I am seeking Parliament's agreement to the appointment of a dedicated Government minister, whose focus will be to represent and protect all of Scotland's interests throughout this process. Presiding Officer, this role does not require a shrinking violet, and I hope that Parliament will agree that I have not chosen one to perform this role. As Minister for Negotiations, Michael Russell will no doubt require to become almost as familiar with the corridors of White Hall as he is with Holyrood, but I have no doubt that he will make his presence felt. Michael brings to this position a wealth of experience as a Scottish Government minister. As Cabinet Secretary for Education, he completed implementation of curriculum for excellence, expanded free early learning in childcare and led the charge to keep tuition in Scotland free. As Minister for Culture, External Affairs and the Constitution, he established Creative Scotland, and, as Minister for the Environment, he oversaw important reforms to crofting. He has a deep understanding of the EU's vital importance to all aspects of life in Scotland from research funding for our universities, to international support for our festivals and agricultural payments for our farmers. In his new role, I have asked him to engage alongside other colleagues with a wide range of individuals, communities, businesses and organisations to ensure that the broadest range of Scottish interests and concerns are taken into account as we move forward. In tandem with that work, Fiona Hyslop and Alasdair Allan will continue to engage with EU institutions and member states, and I will convene them and other relevant ministers in a new cabinet sub-committee to direct all of our work on EU-related matters. That, with the appointment of a new dedicated minister, will ensure that we are fully equipped and ready to protect Scotland's interests in Europe and in those discussions with the UK Government. I am happy to move the motion in my name. Thank you, I call on Jackson Carlaw. Thank you, Presiding Officer. Spernd and consigned to the back benches just two years ago, cast out from influence on the public eye, today he sees his career resurrected just like Lazarus. He is the Che Guevara to the First Minister's Evita. He is the David Essex to her Elaine Page. He is the rebel returned to the cause, a political romance reset by Brexit. If only the song they sang in the balcony of Bute House was as sweet. So Mr Russell returns to the heart of government where he decidedly believes he belongs. In truth, I find myself welcoming his appointment. Sometime intellectual, sometime muse, classic romantic, some would say romanticist, sometime tartan revolutionary, sometime diplomat, sometime partisan bruiser. Mr Russell is a big beast in a job that requires just that talent. Of course, the big decision for the First Minister was not his appointment, but was the beard. Conventional wisdom has it that no politician who aspires to be serious and recognised as such will sport a beard. But this is 2016, and we are living a country surrounded by political bearded giants like Jeremy Corbyn, like David Mundell. In a rather half-hearted, cultivated, stubble sort of way this afternoon, Mr Yousaf. This is an unforeseen appointment to an unforeseen EU referendum result. Few of us here sought this outcome, even if a million Scots voted with the majority in the United Kingdom to leave. There was undoubtedly a leadership vacuum at Westminster following the resignation of the Prime Minister, filled by the election of Theresa May. In one of her first acts, which I hope is all welcome, she came to Scotland to meet the First Minister. The substance of that discussion is that Scotland's voice demands our active representation in the planning of the UK negotiating strategy and beyond. That requires someone with the talent and the guile to listen to the broader and somewhat contradictory voices in Scotland that were required to be represented and not just exclusively to the results of any one party's questionnaire. There is undoubtedly a variable deal for Scotland that can be secured, and the tone and sincerity of Mr Russell's participation in the discussions and preparation for them that now take place will be crucial. We in this side believe him to be the man for that job and welcome and support his appointment this afternoon. Thank you, I call on Lewis MacDonald. Thank you very much, Presiding Officer. Well, Michael Russell's return to government today is not quite the mirror image of that of David Davies in another place, but the parallels may be instructive. Both have been leadership contenders in their respective parties. Both have more recently retreated to the back benches, and both have been brought back to the front line by the events of an extraordinary summer. However, do the parallels go further? The Secretary of State for Exit in the European Union and the United Kingdom Government will clearly consider it a success if he makes Brexit as definitive and irreversible as he can. There are perhaps, and Nicola Sturgeon seems to have a view on this, there are perhaps some in his own party who hope that he will fail, and not all of them sitting on the back benches. So what will constitute, and that is true of David Davies, so the question then is what will constitute success for Mr Russell, who is to enjoy the even grander title of Scottish Government Minister for UK Negotiations on Scotland's place in Europe. Protecting Scotland's place in Europe is an objective that we share, and we welcome the appointment of a minister with that specific task. We have said from the outset that engagement with UK ministers and other devolved Administrations will be critical to achieving that end. We have also said that the process of engagement in both Britain and Europe must be transparent and fully accountable to this Parliament, and we repeat that call today. We look forward to hearing from Mr Russell in due course what he thinks success will look like in his new post and how he will go about achieving it. But just as we know that the Secretary of State for Brexit is fully committed to exiting the European Union, we expect the minister for UK negotiations to be equally committed to making a success of those negotiations while recognising the challenges that he will face. That means doing all he can to achieve outcomes that truly respect the wishes of the people of Scotland on all the big issues that we face, and it is on that basis that we welcome today's appointment. I congratulate Mike Russell on his appointment on behalf of the Scottish Greens. Mr Russell followed my first speech in this Parliament by revealing that he defied his party to vote in in the first vote in the United Kingdom on the European Union. A sympathetic reader of history might say that he was a man ahead of his time in the 70s. I'm not going to say anything about what they might say about the intervening decades, so I think that Mr Carlaw summed a lot of it up quite well. On this issue, there won't be much room and much need for defiance against the party line. Achieving our common goal will be a challenge enough. It is simply unacceptable that we as the Parliament of this nation are forced to contemplate which will be the least worst form of Brexit for our economy, for our society, for our environment, and then we must persuade another Government—one that we did not elect—to choose that option, a Government that yesterday showed just how clueless it is about what it has unleashed. That is a simply farcical situation, and it yet again raises questions about where the power over Scotland's future should lie. Greens look forward to working with the Scottish Government and with other parties who are committed to our continued future in Europe—a future that our electorate voted for with a much larger mandate than for any one party in this Parliament. We look forward to examining every option that will secure that future. That yes includes our preferred option of an independent Scotland with its own seat at the European table—a Scotland that fights not just to retain workers' rights, environmental protections and limited financial regulation, but which can fight to strengthen them here and across the continent. I look forward to working with Mr Russell and others for our common goal of a Scotland that his European future is secure. Can I thank you? We will move straight to the vote. The question is that motion number 1254, in the name of Nicola Sturgeon, be agreed. Are we all agreed? We are all agreed. In that case, I may congratulate Mr Russell on his appointment. The next item of business is consideration of three parliamentary bureau motions, and I would ask Joe Fitzpatrick to move on block. That is motion 1264 on the variation of standing orders, motion 1265 on membership of the regional chamber of the congress of local and regional authorities of the council of Europe and committee of the regions, and motion 1266 on committee membership. The question on the motions will now be put at decision time to which we come. I propose to ask a single question on all three motions. If any member objects to a single question to be put, please say so now. No one objects. Therefore, the question is that motions 1264, 1265 and 1266, in the name of Joe Fitzpatrick, be agreed. Are we all agreed? We are all agreed. That concludes decision time today. And we now move to members' business. Members could leave quietly.