Welcome back to the lecture. The earlier lecture talked about in the earlier lecture I talked about the particle in a one dimensional box and in the current one let us discuss the particle in a two dimensional two dimensional model or two degrees of freedom model. The particles position coordinates are given by two x and y two coordinates in a plane orthogonality each other and then we discuss the quantum problem. The barriers are infinite therefore, if you remember the problem p squared by 2 m plus v which is the energy term gets changed to or it is rewritten as p x square by 2 m plus p y squared by 2 m ok plus v and p x is replaced in quantum mechanics by the minus h bar square by the term minus h bar square by 2 m . The partial derivative now because we have the wave function as a function of two coordinates x and y and the momentum in the x direction is given by the partial derivative and this is the square of the momentum. So, you have minus h bar square dou square by dou x square by 2 m and correspondingly for p y squared you have dou square by dou y square ok. This is the operator part for the kinetic energy of the Hamiltonian plus and the wave function is a function of x and y plus v some potential times psi x comma y is equal to e psi x comma y . This is the two dimensional Schrodinger equation in which you have got the h this term plus the v h acting on the psi giving you e psi and for the current problem of particle in the 2 d box we consider v to be infinite for all values of x other than from 0 to l and all values of y from 0 to some other say a or l 1 or l 2 it does not matter if it is a rectangular box if it is a square box then essentially you are looking at thelet us see if we can have a square something like that . So, 0 to l and y is also 0 to l only in this region we are looking at the particle properties and the particles behavior and for all others we have v is infinity for all values of x less than 0 or equal to and for all values of x greater than or equal to l and likewise for y less than or equal to 0 y greater than or equal to l . So, this is the infinite boundaries that you have it is not the single dimensional quantity, but it is a surface in a sense that we protect the particle from escaping this region and inside v is 0 ok between x and l between y and l and this is a square box ok . So, if we do that obviously, the differential equation simplifies without this term and you have a derivative square in one direction a derivative square in another direction and then you have the psi of x y ok. Such a problem is easily solved by is written in terms of a product of a function of x alone and a function of y alone ok with this choice it is possible to separate this equation minus h bar square by 2 m dou square by dou x square plus dou square by dou y square psi of x comma y is equal to e times psi of x comma y into two equations namely minus h bar square by 2 m d square by d x square x is equal to e 1 of x and minus h bar square by 2 m d square by d y square times y is equal to e 2 times y, but these two constants e 1 and e 2 are constrained by e 1 plus e 2 is equal to e ok . The actual separation of this is given in the notes that accompanies this video lecture. Therefore, I would request you to look into that to see how this equation is separated into two one dimensional equation one for x and one for y . With the constraint that the energies for the two one dimensional problems are related to the total energy as the sum e 1 plus e 2. Now, let us see the solutions that quantity which I have written on the board is namely this is the x equation and the corresponding y equation is that ok. Obviously, each one of them is like a one dimensional particle particle in the box. Therefore, the solutions for each one of them will have a running quantum number for that particular equation. The x component of the wave function will be given by the solution it is similar to the psi of x that we wrote except that now we call it x of x and now this will have a quantum number going from 1, 2, 3, 2 some value which we call as n 1 . In an exactly in an identical manner the y equation will also have a free quantum number n 2 which will run from 1, 2, 3, 2 whatever that we take, but please remember these two quantum numbers are not independent in the sense they are connected to the total energy. The requirement that e 1 plus e 2 is equal to e. Now, remember the expression for e 1 from the particle in a one dimensional box it is h square by 8 m l square n 1 square a free quantum number in the sense it is takes 1, 2, 3 integer values and e 2 is also given by h square by 8 m l square times n 2 square such that this equation is satisfied. Therefore, you have h square by 8 m l square times n 1 square plus n 2 square is equal to the total e. So, this is the only constraint that comes out in the separation of the two dimensional Schrodinger equation that the total energy is the sum of the two one dimensional energies and that is possible because we do not have a potential which couples the two dimensions we put v is equal to 0 and therefore, the the method of separation of variables separation of variables ok. We have separated the x and y from the psi of x y if you recall the psi of x y we have separated that into the x equation and the y equation. So, that process is called the separation of the variables. Now, how do these functions look like? Obviously you have the solutions for the quantum number n 1 in terms of the one dimensional solution that you have seen in the previous lecture root 2 by l sin n 1 pi x by l and the energy is given by n 1 square and likewise for the y with the n 2 square and with the constraint that the total energy e n 1 plus e n 2 is e n 1 n 2 you have seen that ok. What about the wave function? The wave function now if you see this the wave function psi of n 1 n 2 because it is obviously specified by the two quantum numbers n 1 and n 2 has the independent function x with the quantum number n 1 and y with the quantum number n 2 ok each one is in an orthogonal direction ok. Therefore, you see this interesting thing next line when we have n 1 is 1 and n 2 is 1 when we have that case which is the starting point what is called the lowest energy for the particle in a two dimensional box. You can see that the wave function is given by psi 1 1 x comma y and is given by the product of the two functions that you saw the x of x and y of y which gives you sin pi x by l and sin pi y by l. Let me repeat this when the quantum number is 1 1 the wave function is given by psi 1 1 and it is given by the product of 2 by l sin pi x by l and sin pi y by l and the energy is of course, the sum of 1 square plus 1 square times the whole thing. Therefore, the energy for this process e 1 1 is h square by 8 m l square times 2. What is interesting is the next choice you have psi n 1 n 2 as x of n 1 y of n 2 it is possible if n 1 is not equal to n 2 it is possible to have the wave function given by x of n 2 and y of n 1 because the energy is simply proportional to n 1 square plus n 2 square times h square by of course, 8 m l square which is the proportionality constant. Therefore, you see that you have the same energy, but you have 2 physically different states x of n 1 y of n 2 and x of n 2 y of n 1 both states have the same energy this is what is called degenerate state degeneracy is 2 because there are 2 states which have the same quantum same energy, but have different quantum states. This is the introduction for the particle in a 2 d box that the degeneracy is the additional factor. Now, how do these things look like let us simplify this picture. Now, I have a whole series of functions here with which you can fill up any number of pages if you wish you see that n 1 is 2 n 2 equal to 1 corresponds to the wave function psi 2 1 with sin 2 pi x sin pi y by l and n 1 1 n 2 2 gives you the other function namely sin pi x by l sin 2 pi by y by l and the energies are the same. So, if the quantum numbers are identical there is no degeneracy, but if the quantum numbers are different for a square box because we have chosen the length l to be the same the square box gives you the solution that you have a minimum degeneracy of 2 if n 1 is not the same as n 2 and you can see that for 3 and 2 that you have here the wave function sin 3 pi x by l and sin 2 pi y by l and then 2 and 3 which is sin 2 pi x by l sin 3 pi y by l. So, the axis choice the quantum number choice for a given axis determines the the functions state how do these things look like if we plot them I mean this plot looks fancy, but actually does not have much interpretation or meaning, but it is worth seeing the product wave function in two dimensions ok. So, you see the wave function you see the wave function psi 1 1 using this picture it is a half wave similar to what you had in your particle in a one dimensional box in the x direction and it is also a half wave in the y direction as you can see through the projection in the x direction here of this graph and on the y direction also you have the same thing identical ok. What about the sin square the psi square which is associated with the probability that the particle be found not in a small length region d x, but in a small area d x d y please remember psi x y if you do that psi square d x d y is the probability that the particle will be in the small rectangular region between x and x plus d x and y and y plus d y that is a small region and you can see that the psi square is given like this therefore you can create I mean you can visualize what would be the probability exactly the same way that you have visualized the particle in a one dimensional box except that now we have a motion on the plane and now what is interesting is when you go to different quantum numbers where there is degeneracy psi 1 2 if you look at this psi 1 2 is quantum number 1 for the x direction and the quantum number 2 for the y direction. Therefore, this is the quantum number this is the quantum number for the x direction and you can see that it is a half wave which is either up or down it is either positive or negative the reason being the y direction wave is a full wave. So, in this direction what you have is if I may draw this the wave function looks like that in this direction the wave function looks like that. Therefore, when you take the product of these two functions in negative side makes this wave function negative for half the length and therefore, you see that for half the length you have either a positive wave function or you have a negative wave function that is only for the wave function we know that the wave function is not that important it is a square of the wave function which is important for probability interpretation and you can see that psi square which removes this negative character of the function gives you now very beautifully the 2 n equal to 1 case for the x axis and the n equal to 2 if you remember the graph that you had for n equal to 2 for the y axis and this is the x axis. Therefore, the features are captured the wave function features are captured when you do a surface plot and you can see that the pictures can be created for a large number of them, but there is a limit to dimensions and in three dimension we probably can use color at the most to distinguish the function from the three axis, but that is it you cannot visualize this for n dimensions. So, let us conclude this part of the particle in a two dimensional box with some examples of the wave functions and the squares of the wave function for different quantum numbers. So, here is a 2 1 as opposed to 1 2 and you see all that happens is that for a 2 1 the wave function along the x axis is like this and the wave function along the y axis it is like that ok and you can see that actually sorry this is in the wrong direction. So, let me erase that because your 0 starts from here therefore, have that and this is the y axis that is the reason why part of it is negative and the other part is positive and the square of the wave function you can see that there are two hums along the x axis and along the y axis it is a quantum number 1. So, you have only one similar to the one dimensional y axis and let us see one or two more examples and let me stop with that. This is a I mean the exercise here what does this picture represent there is one here along the x axis and there are three peaks therefore, you have this is a y is 3 and x is 1. So, it is psi 1 3 square x y. So, the lecture notes give you many more such pictures, but in the next part of this lecture we will see what do all these things mean in terms of probability calculations and in terms of a new idea called the expectation values. We will stop here for this particular part of the lecture. Thank you.


All right. Good morning, Sabatraners. Welcome back, everybody. Good to see you all. Good morning, Randy. Good to see you all, everybody. Daniel, good to see you all. Josh is back. All right. Good. All right. Welcome back, everybody. Let me tell you what a great morning regarding the V-E-R-U. Let me tell you, I got to bring this up a little quick. We had a really nice pop in this stock early this morning. Just came out of nowhere. Went from mine 50 to 1150 and it started coming down. I'm actually doing an event today with Traders Research. Was it one o'clock, I think? Eastern? Yeah. It's one o'clock Eastern. And let me tell you, I got some really, really nice screenshots of iceberg orders that ran the stock down from mine 50 all the way down to that 1050. It was just beautiful. Great ladder. I'm looking forward to it. Once again, if you could have went long and you missed it, could have went short. It was awesome. Very, very good trading. How do we know about that? Because we use something called Level 4, which all of you know. And once again, some of you on YouTube, Facebook probably don't know what it is. So you're always welcome to join this trading room and kind of see us use it. Let me tell you, it's the telltale of everything. Now, regarding about yesterday, yesterday was ridiculous again. Oh my God. The two stocks that we traded were unbelievable. I want to start off with this PRPO. Here's the stock that started right around the morning. It had a really, really nice move. Let me just zoom out here. There we go. All right. So PRPO ran the gate just literally just took off. It was one of the stocks on the morning watch list. Stock ran from 650 and just shot up to $9. Did not even think it just kept going and going and going. But the big thing you have to learn about PRPO is you have to learn how to follow the money and know that you've got to take a profit once in a while because you can see how the stock just came right back down to about $4. It was a great short squeeze. But this wasn't that paid us all for the day. It was this one right here. Hold on. You don't see my screen. Well, once again, if you don't, does everybody see my screen okay? I think everybody can see it on YouTube. I don't know about Facebook. I think everyone should see my screen. Okay. Yeah. You probably have it defaulted. Maybe somebody, Joshua, maybe tell you how to do it. It's probably on the top right hand side. The real big winner was this one. This stock right here, the COCP? Oh my God. Let me tell you something. This thing ran from a buck 50 and look at that. That thing ran from $1.50 all the way up to about 375.  For all those people think you don't have money to do this and think like that's why you trade options because all you think in your mind is that the only stocks out there are your apples and your Facebooks and your Teslas and all that. And by the way, it's not a penny stock. We don't trade penny stocks. Maybe 5% of our trades maybe. So think about 95 of our trades probably. But look at this example. You bought 1,000 shares at $1.50. Let's just say you sold it at 2. Right? Think about 3.50. 2.50 cents, 1,000 shares. Would you make $500? Do that every day. You did $100,000 salary. What was it not to like about it? And you know what? I know we have people from all different parts of the world and then you're like, well, you know what? I don't know if I was going to be here in time. Maybe could I start at 11? You know what? You could just picked off at 11.30 and jumped into 2.50. Could I still sort the action? And the thing ran to almost 3.50. Let me just tell you a funny story. What happened to me? I thought that this was going to be one of those big stocks out there. And all of a sudden, right around here and everybody in the cyber group, if you were trading right around this time around that 2 o'clock at 1.45, there was a huge iceberg orders and they were all over the place. I mean the stock traded, I don't know, was it 250 million shares? 300 million? Something ridiculous number like that. Anyway, what happened was the guy kept getting executed. It was really a short squeeze. Eventually, someone got squeezed and that seller was out there. He must have hit the bid. And let me tell you something. I have never seen a stock. Actually, I had seen the stock. I didn't see one in a while. Just let it go from 3.40 right down to 2.50. Like that, a dollar. Remember, this is why you can't go broke taking profits everybody. But that stock came down crashing down really, really strong. And that's why it's, you know, want to get cocky and greedy in certain positions. But overall, it was a really good day just on those two positions of the stock. It was nice about these stocks when you look at it. I mean, look, it only traded 16 million shares. This stock right here, people were not trading 1,000 shares. I mean, this is all algorithms. Stocks people were trading 10,000, 80,000, 200,000 shares. So it was that kind of a stock. Now, I'm not, this stock has finished for me. I'm not even considering looking at it. It's done, it's over.  I don't care why the stock is going up. It's irrelevant. It's not important. Okay, but it was a good winner yesterday. And you know what? This is going to turn the page because that is yesterday and today is Wednesday and it is a new day and a new chapter here at Cybertree University Trading Group and that's what it's all about. Okay, it's all about you made your money for the day. Time to go for the next one. All right, so we've got a bunch of stocks that I'm moving this morning. So the big one I want to keep an eye on is this stock right here, V-E-R-U. It had a great push going down and now I'm starting to see these big sellers getting executed on the offer. Look it over here. You can see them right here. That was where the ladder came down. You really probably can't see it but I got a better screenshot. I took, I'll show it to you at one o'clock if you guys join me in the event today with timing research. But it looks like these buyers started coming in and starting to fill in right here. This is a big iceberg order. I mean, it was a 30,000 share sell of 35. He was hovering around 11. He kept pushing it down but it really came crashing down but it looks like he's not there anymore. Maybe he sold it but stock looks pretty interesting. When you remember this stock, we traded this stock back in December. This stock was literally $3. It ran to almost $25 and it just kept going up and up. We know it's a good day trading stock but we know if you're a student of cyber trade in Berkeley, like I always say, go back to your journals, see how you trade it if you were trading with us back then and see how you did on it because remember, the key of being a successful trader here at Cyber Trade University, we don't tell you what to buy and sell. Always remember, if anyone does that, that's illegal. They can't do that. We don't tell you what to buy and sell. We just show you a watch list. You need to make that decision to go out there and execute it and our job is only here to teach you at Cyber Trade University how to control your losses. The winners are later. They lose is what you have to worry about and you got to look at it and say, had you make money on it? Was it good? What category it was? Remember, we cover a lot of that stuff in class and don't worry. I always say this, you're always going to trade them again. They're going to come back. Another stock you want to watch this right here. You can see we've got a few of them right here. The CHCM. Now let's not gap up a little bit right here. It just kind of gapped up and it kind of stopped right here. You can see right here. It's kind of like Flatline. I don't know what's going on with it. It's up by 40%. I like the spread. I like the tier size. It trades really good shares. Six million shares right here. That's just not that bad. It's got some good support levels right here. We'll see how that opens up. Remember, some of these stocks like they'll trade and they really won't move and all of a sudden they'll make their big pops. This stock right here, ATY, ATNX. Nice little push. Gapped up. It's really big this morning, around 4.30 this morning, which you know what, I'm trading 4.30 this morning. But it really started laddering down. Same thing that we saw at level 4 and level 3. We kept seeing it pushing down. And then all of a sudden, we saw the stock build some type of support levels here and it started to trend up. Now you remember the stock, because we sold the stock over from $12 all the way down to about 4. If the stock could break this gap fill right here above 6, then the stock could obviously do pretty well and go up. But remember that gap fill that you see right here, it's still got support levels there. So don't ever think like, oh, it's a gap fill. That's not technically a gap fill, okay? Because the stock did trade there once before. So don't misconstrue that. DPW, another nice little move stock up 23%. You remember this stock too? We traded this stock in the past. Back in November, the stock ran from $1.80, ran to all the way, yeah, $11 a share. It was a gorgeous short squeeze. And if you don't know what a short squeeze is, if you're not registered on our YouTube channel, I did do a free one on that.  We do classes on this all the time. And they're all awesome. But this stock also, go back to your journal and see how you trade it. But this stock obviously, nice spread, nice trend. We only looking for the action. Remember, we just got to make our days pay. That's it. Just trade conservative and make your days pay. The IBIO is another one that was another short squeeze back when we traded in July. You could see this one also. Stock ran from $2, ran to $7. It was a great day trade. We did very well with it. I'm seeing some a little momentum right now. But I don't know, I see her trending down. She's up 20%. I might scratch her. But it trades a lot of volume. It's got big orders out there, $5 million shares. Not a bad stock. Couple of stocks actually doing pretty well. Now, remember, we just own day trading. We also do some swing trading. But Under Armour, shockingly, is doing pretty well. Now, it's breaking a 52-week high. But what I want to show you about Under Armour, if you go back in history, Under Armour actually was in the $50 price range. It was a pretty decent stock. Stock took a very big hit. Obviously, Nike's done a lot better. But when I checked out Nike and I was checking out Under Armour, Under Armour's actually performing a lot better than Nike. So Nike, was it N-A-K? Was it N-K-E, I think? Yeah, that's Nike. So Nike, when I go back, I look at the chart, you can see it really like right here. It really is like, you know, the stock obviously did very well. But you can see like since December hasn't gone anywhere. It's been hovering about 140. It's at 130. And you'll see it. And we teach this very exclusively in the classes because the swing trade is exactly what you see in the day trade. It's starting to make a higher low. It's not a good sign. Not a good sign. But Under Armour obviously doing pretty well. It's got a nice low push. And plus it's cheaper too. Remember, it's U-A-N-U-A-A. Those are the two stock symbols. Okay? So keep an eye on that. You can see that stock long-term.  Stocks up about five points, breaking a new high. I like that. That's really what you want to see. Had a big resistance levels right around here, around 21. And finally, you know, held it strong and went up there. Now, that pretty much does it. I don't see anything else that probably came in. Sometimes something pops up around 9.30, 9 o'clock in the morning. But I didn't see anything out there that kind of jumped out at me. Some of the ETFs did pretty well yesterday. But if you were in the trading room, like we watched the UVXY, I traded that yesterday. If you're, you know that, we don't like to trade ETFs because not that you can make money with them. It's just, it's so hard to see the orders. It just trades so many shares. It's a lot of algorithms going on. Remember, we want to see things that have a nice push. All right? Now, anything else, guys? Anything else? Chama's being acquired. Okay, is that with the news on that? Okay, so you know what? That's a scratch. Done. That's all we need to know. Right, Neil? Okay. Tupperware popped this morning. Michael's saying, Tupperware lady, we did well with that stock, the TUP. TUP, Tupperware. Yeah, Tupperware was, I mean, this was fun back in July. It just didn't want to stop. Remember, it just kept going up. Fight out to clean all the way to $40. Starting to go, well, it looks okay. I mean, I put it up there. I just remember Tupperware kind of traded pretty volatile at certain times. Just spread that kind of ugly sometimes. You could even see the only thing I like to use about level two is you could see the tier size are really small. That's the only bad thing about it. All right? And remember, you can't buy something if someone's not willing to sell it. Remember the biggest thing, and I repeat this all the time. We teach you something called the three T's. Tratable, trend, and trap. The first T is the most important T, and that means, you know, can you get it? Can you buy it? How many orders are out there? Remember, 50% of the people lose and fail in trading because the trading stock that's not tradable or it's not, they're not at that level yet. Okay?  Okay? If you know what I mean. Trading is the same thing. The difference between gambling, you know, casino and trading is that this, you have more control, you know? And that's what it's all about. All right, guys, let's get ready for the open markets opening up in 15 minutes. So let's go get ready for another beautiful day. Today is Wednesday. Don't forget. Hopefully everybody enjoyed Traders Talk yesterday with Josh. I know he did a great job. That is on your dashboard. So make sure if you did miss it, you could always go back and review it. Um, I, you know, like I said, it's one of the best events that we do in the cyber group room. And remember, we got today and tomorrow. I got two big events coming up. It's all free. Everyone's all welcome to join. We're going to talk about everything that's been happening in the market, what to expect in the future, what's going on with maybe how this stimulus package or this, you know, all this money is being spent. Could it help? Could it hurt? We saw it happen in the market yesterday. Are they raising interest rates? How can we actually benefit from it? And then once again, how we all could be, you know, make a career out of it. And if you're joining us on YouTube, Facebook, just make sure you like us, friend us. Join us here every morning at 9 a.m. at 2.30 to kind of see what to train in the morning, what we're looking at the afternoon, or just do a trial. You can always do that too. Good luck everyone. Happy trading. Be safe.


Hey everybody, what's going on? I am Greg Sussman joined today by Jim Sottis of FanDuel Well, we got some long shot bets for you NFL awards season. It's about a year away It doesn't mean we can't make some money on it right now. What's up, Jim? Yeah, it's all good Greg I think they're thinking here for me at least is that if you're gonna lock up money for this long You better take some long shots and see what happens because I'm been Patrick Mahomes or Lamar Jackson There aren't odds probably not gonna move too much before week one So let's take some long shots guys who may have shorter odds once season arrives And then if they do pan out like Lamar Jackson did last year, we can benefit quite a bit So shooting for some longer ones here. How are you doing? I'm good man? I'm excited I'm just waiting for sports to kind of get back in there with the NFL It's like they're going full steam ahead. Obviously NASCAR is coming back golf is coming back Hopefully the other sports aren't far behind Let's talk about some of these longer shot bets that we want to place and we're gonna go with your boy To start this off in Denver We talked a lot about how that Denver offense improved that they knew what they had to do in order to keep up Pace with the Chiefs they bring in Melvin Gordon They draft Jerry Judy and that means you're buying drew lock at plus 8,000 to be the NFL at VP Yeah I think that the reason that we want to buy into drew lock is just because situation matters a lot for a quarterback And we can get a quarterback with 80 to one odds who has pieces around him as good as what drew lock has right now It's at least intriguing and we can question drew locks talent all we want Which we should because our sample on him in the NFL is very small He faced a lot of really poor competition and he was a second-round pick Those are all things that are working against him But now he's throwing to Cortland sudden Jerry Judy KJ. Hamler Noah fans Albert Oka Wabanam There are so many guys in this offense who bring you can help make up for mistakes The quarterback may make and I think that's a good thing for drew lock But there's also some good volatility in what drew lock does He is willing to throw the ball down field He can do so well because he has a big arm and he can kind of run a bit He's pretty athletic about similar to Justin Herbert from an athleticism perspective and could add some from that perspective as well The issue with drew lock is that you need an MVP bet to have the potential to at least go to the playoffs And I think the good thing here with drew lock is that not only did the Broncos beef up their past catchers But they also added some really big pieces via trade prior to the NFL draft as well So looking at drew lock the odds that he does win MVP probably aren't that big But I think they're better than the implied odds 80 to 1 Especially when you consider how good the talent is around him, you know again our sample is small on him But the past catchers he has now are so much better than what he did last year And he's at least shown flashes at times of having really high upside So I think we're gonna swing with the fences here give drew lock and try and see if the Broncos can't surprise in 2020 Pieces around drew lock. They look really really good And as you mentioned the MVP, especially the quarterback spot relies on so many of those other offense of weapons They're building it in Denver They compete keep up pace and surprise people in the AFC West Eight one. Well, that's too big of a number for us to let go. We like that with drew lock right now But he's not the only quarterback That's a long shot that Jim is betting on because when you have to bet on a jet to win the MVP Yeah, have to according to his honest. It's his team. It's Sam Darnold 101 why not Jim? Yeah, I think that's kind of where I'm at here, too Is why not and I think that between these two quarterbacks we discussed I like the value on Sam Darnold more than like the value on drew lock because Darnold was a top three pick in the NFL draft He is very young and those are things that you like as far as making progression and going to the next level This is also Sam Darnold's third year in the NFL Which should give him better acclimation to this league This is his second year that in case and we can question Adam Gase all you want But the continuity around having a second year in that same offense should be a benefit for Sam Darnold now with drew lock We talked a lot about the situation I think that's sneakily Sam Darnold situation has gotten a lot better too Specifically because of the offensive line They've kind of taken a similar approach to what the Buffalo Bills did last year where they threw a lot at it and free agency Creating a lot of competition, especially along the interior So the interior is gonna be better But there's also a chance to get better at left tackle with Mackay beckton being there Maybe George fans or Chuma adoga can step up and play right tackle So the offense line will be a lot better, but even with a bad offensive line in the past We had seen sparks from Sam Darnold We've already forgotten about what he did over the final four games in 2018 He also had some good stretches at times last year as well This is for a guy who's entering, you know, he's still very young and entering his third year in the league So he's seen flashes and Sam Darnold the talent around him is better They've added for shot pyramid and Denzel Minster a place Robbie Anderson a wide receiver He gets Chris Herndon and Ryan Griffin for a full year and he gets a second year in a system I think that all bodes well for Sam Darnold He's in a big market Which should get him a lot of name value This division is pretty wide open where anyone could win it that can help the Jets out as well So I think that between Locke and Darnold I prefer Sam Darnold at 101 Just because both these guys are in situations that are better than they were last year And their odds don't necessarily reflect that The situation on offense is definitely better for Sam Darnold The second year in a system usually better for a quarterback What I like best about his chances is the fact that New England doesn't have Tom Brady anymore And you have the bills that are looking good Acquiring to find digs Josh Allen hopefully taking another step But if things go right for the Jets they can make some noise In the AFC East that offensive line as you mentioned Jim very much improved here And as long as you make a little bit of noise In the MVP conversation Well it starts in earnest If Sam Darnold could have a big time year in Adam Gaze's offense 101 is way too big of a long shot for him I like that bet a lot I like it more than drew a lot But perhaps my favorite long shot bet that you're on today Is the defensive player of the year award And Miles Garrett is that at 33 to 1 Miles Garrett had a fantastic year last year before it ended Well terribly of course in Pittsburgh Now he's back, he's reinstated He's gonna start the year and hopefully get his head on straight But he certainly has the talent to be the defensive player of the year And at 33 to 1, like I said It's my favorite bet here on today's show Yeah I think that you look back to last year Like you said, Miles Garrett was in contention to win this award then Before the suspension came down He had 10 sacks already before that suspension began That's a year after he had 13 and a half sacks the year before Miles Garrett, a former first overall pick Has shown to be a majorly effective player in the NFL The thing I like about Miles Garrett too If we're talking about awards betting Is that voters do tend to value team success And the Cleveland Browns offensively Have made a lot of gains this year So the odds that they do well enough For players on their team to get consideration For awards betting goes up The better that they get on offense And I think that they have done exactly that Which benefits Miles Garrett Who is 33 to 1 to win defensive player of the year He is entering his fourth year He has shown sack productivity The ability to put up flashy stats in the past And it's going to be a team that gets a lot of buzz Because of the Browns And they always get a lot of buzz as well So the best player on a potentially improving team Who has the ability to post a lot of really good stats That's all really good for Miles Garrett Now if he were a bit shorter than this I might be hesitant because maybe voters shy away Based on the incident last year Maybe they don't want to back someone Given the negativity around Miles Garrett's name But I think at 33 to 1 That's long enough to account for those concerns on my end For a player who is just so gosh darn talented On what could be a really fun team We've been calling the Browns A potentially really fun team for a good decade round And as you mentioned the hype surrounding them It usually is bigger than the actual team's success But if this team is successful And Kevin Zafanski's run-based attack Allows for close games And Miles Garrett to be a force on defense Well, it's well worth putting it down at 33 to 1 Yeah, there's bad juju there See what I did Bad vibes as well But Miles Garrett has the talent As a former first overall pick To certainly become the defensive player of the year At 33 to 1 You don't want to miss it Now let's move to the comeback player of the year Where this list not as big or as lengthy As some of these other categories You like Matt Stafford here Only 9 to 1 plus 900 to get a map And Stafford again has a talent In a good year last year Especially from a fantasy perspective Playing for Matt Patricia Who are the other players that are involved In this mix along with Matt Stafford That allows you to like him here and 9 to 1 Yeah, I'm not a huge fan of this award in general Because it is pretty ambiguous There are a lot of ways you could go with it And it's just it's kind of amorphic And so I generally don't want to enter this market However, I think that the odds of Matthew Stafford Being as long as they are Are kind of what draws me here And it kind of harkens back to what we discussed With Drew Lock and Sam Darnall At least with Sam Darnall Where the division is a little bit open for grabs Because the Packers made some weird offseason moves The Vikings traded away Stefan Diggs And lost a lot of talent defensively The Bears are the Bears So there is some room for the Lions To outperform expectations Which is good for Matthew Stafford There's also the thing that Matthew Stafford Before he got hurt last year Was really good He was the fourth most efficient pastor On a per-drop-back basis Based on number of fires metrics Before he went down with that injury That Darrell Bevel scheme of play action And let it rip Was working out really well for Matthew Stafford He also plays it Doors, which I like Because it does help inflate his stats And he has some good talent around him So I think that there is some mobility here For the Lions to outperform expectations That bodes well for him And Stafford has shown He can put up good individual stats I kind of think that's what I want In order to enter into this market Now again, it depends on the number If you can't get Matthew Stafford at 9-1 Which is what you can get at Fandil Sportsbook I'd probably just avoid this award entirely But if you can get someone like Stafford at this number Then I'm willing to bite Just because we've seen the ability To put up really good numbers He should qualify for the award Because he missed so much time last year And I think that there is a lot of Pads for Stafford to be in contention here So Stafford, the one guy You can really get me to bite In what is a largely pretty unattractive award The players that qualify Are relatively arbitrary, right? Like you don't know who's going to step up Who really comes back from something Stafford comes back from the major back injury last year And as a quarterback If he could perform, like you said At the same level as he did last season He would probably be a favorite here At 9-1, it's worth taking a shot on It's a tough award to predict None of these other ones aren't But this one, we don't even know the The categories essentially, right? We don't know all the players That will be involved, at least for some of these Other ones that are going up After the next couple of offensive Defensive rookie of the year We know who the rookies are We don't necessarily know the players That are coming back from anything quite yet Matthew Stafford, 9-1 though A good bit of venting Especially being a quarterback Let's move on to offensive rookie of the year We talked a lot about the winners and losers And the players that stood out And stocked up, stocked down Coming out of the draft And one player that we both liked a lot Was Cam Acres In a position to really be successful In his rookie season You can get him to be the offensive Rookie of the year at 20-1 right now Which is really good odds Because he's going to be a really good offense With a team that has already shown success Running the football In fact, they had a potential MVP at that spot So maybe Cam Acres could be the rookie of the year Yeah, I definitely think so Especially at 20-1 Because of a lot of the reasons you mentioned And I think that when you look at The Rams decision making That tells you a lot about what they think About Cam Acres as a running back Because they let Todd Gurley go for contract issues But you look back to last year Malcolm Brown Never really got a ton of work Despite the fact they were trying to conserve Todd Gurley Daryl Henderson was inactive Down the stretch last year Even in week 17 Where they had literally nothing to play for Daryl Henderson did not play For that entire game effectively So that kind of tells you Where they're at with him That means that Cam Acres can come in And be the starter on day one He can be the starter on day one For a team that I think Has a better offensive line And a better offensive scheme than perception Because they really performed poorly last year But part of that was injuries They got better as a year went along They got new talent in there And I think that adding back those guys who were hurt Should give them a good competition level For the coming year So I think the situation for Cam Acres Not all that bad We saw at Florida State He was able to catch passes He was able to be pretty effective Despite a bad offensive line there as well He should go to the Rams here And be pretty heavily involved In this offense The thing that I like about the Rams too is They're gonna have to score some points this year Which bodes well for Cam Acres Because that defense They ignored it For the second round They went with Cam Acres and Van Jefferson And they lost a lot of talent defensively Yeah, I mean Jalen Ramsey And Aaron Donnell are awesome But they got a lot of holes still defensively I think the Rams offense Is gonna have to put up a lot of points That could benefit Cam Acres From a numbers and a statistics perspective So he is a high profile position On a team that should get a lot of notoriety For better or for worse And on a team that's gonna have to score points And I expect his role To be pretty good from day one A lot of things line up really well for Cam Acres And I think that at 20-1 A really good number to get For a running back who has a lot of talent Is in a better situation Than I think the perception would allow The Rams ignored the defense They ignored the offensive line Instead they went with weapons Cam Acres is certainly qualifying As a weapon about a team that as you mentioned Ignored Darrell Henderson Ignoring our boy Malcolm Brown And allowing Cam Acres to hopefully step up Step into a starting role Or at least a major role in this Rams offense And be successful This is the first pick that the Rams had all week And they used it on a guy That is going to play immediately This couple of years ago Todd Gurley was certainly in the conversation With the NFL MVP And those knee issues began Why can't Cam Acres At least be in the conversation With Rookie of the Year? He can And he will One last award we want to get to And that is the defensive Rookie of the year This one's always a little bit tougher So let's go with the name we know And that is Trevon Diggs The younger brother of Trevon Diggs Who spurred Maryland that bastard But nevertheless, Trevon Diggs In a spot in his rookie season To at least have some success initially Yeah, when you can go to Bama It's hard for me to fault someone For skipping out on Maryland So Trevon Diggs And obviously worked out pretty well for him But there's also a couple of big pluses here For Trevon Diggs When it comes to award betting The first one is that he plays For the Dallas Cowboys That means he is going to get National attention from day one The Cowboys, as we talked about before Are a good team Which should inflate voters' willingness To vote for this guy And that's a good thing for Trevon Diggs Also, he's projected to start right away With Byron Jones being gone The Cowboys had a pretty major need at corner And now Trevon Diggs can step in on day one Start for that team Gets the numbers Gets notoriety and rackups and stats That's all really good Like you said, we've got Name value Trevon Diggs because of Stefan He played at Alabama Which means he was on a national stage A lot during college So, name recognition High profile team A good team that should win a lot of games In an automatic starting role When you're getting all that for 26-1 I'm pretty intrigued about buying it Look back at past Defensive rookie of the year War of Winners who've seen A good number of corners get there In the Nazi distant past It's a pretty wide open award As far as which position Does wind up winning it As opposed to things like MVP So, I'm willing to go with A guy like Trevon Diggs here Talented player Interesting situation Given the team he's playing for And the fact that they'll start on day one I think that all adds up To be a really intriguing bet For 26-1 The fact that he plays to Dallas Cowboys Is going to have that national spotlight It's going to have a major role To start off the season That's a lot of reasons to like Trevon Diggs All he needs is a couple of big games In prime time And everyone's going to know his name And it helps that his older brother Is already a successful NFL player A lot to like about Trevon Diggs And it's what? There's a number 26-1 It's worth taking a shot on here At least right now When it's still early That's going to do it for us Here on the fan you'll hurry up Jim, I appreciate the time Good luck with these bets I appreciate it Greg, looking forward to talking With some NASCAR next week with you It should be a whole lot of fun And you're going to get to know A lot about that sport In the not so distant future First League legends Now NASCAR I'm ready, man I'm excited to get into it For Jim Zanis I am Greg Salsman Thanks so much for watching We'll see you next time And stay safe, everybody


Russia lost 20,000 troops in February. Russia's forces in Ukraine have lost more than 20,000 soldiers in February, with another week left in the month, according to data released by Kiev's military. The General Staff of the Armed Forces of Ukraine reported that Russia has lost more than 407,000 troops since Russian President Vladimir Putin launched his invasion on February 24, 2022. At the beginning of the month, the tally was at 387,060, meaning Russia has suffered a loss of 20,180 soldiers. According to Ukraine, 1,160 of those human casualties came in the past day. Russia also lost seven tanks, 35 armored fighting vehicles, 41 artillery systems and 36 drones in the 24-hour period. During the course of the war, Putin's military has lost 6,523 tanks, 12,373 armored fighting vehicles and 7,596 drones. According to Newsweek, tallies for Russian casualties have been difficult to confirm throughout the war, and Ukraine's figures are higher than many other estimates. The Kremlin rarely releases its own numbers, and when it does, the figures are thought to be undercounted. Kiev also does not provide updated information on its war casualties.