Welcome to Access a Trader, the number one community for those who are committed to taking control of their trading in order to achieve success, profitability, and longevity. Thank you for joining us. Here's Dan Shapiro to help you find your edge, master your process, and own your future. Hey guys, good evening everybody. Welcome to another edition of TheAxisTrader.com, a nightly wrap up show. Hope everybody had a good day, crazy, crazy action today, very, very aggressive, super aggressive. I think what the market right now is in a very, very delicate place. Again, if you just look at the scoreboard today, you're really not going to put a lot of pieces to the puzzle. I try, every morning, what I do is I try to get as aggressive as I possibly can to capture our window. I talk about this numerous times in the video that window from 9.30 in the morning to about 1 o'clock. I wish I would have broken my rule after 2 o'clock today because we just saw a 17 point move on Tesla. That's a whole different story. But I was okay. I was okay with the final outcome. But I think one of the biggest things when you're trading and you get that aggression out of the way, I use the afternoon to start putting together my early game plan for the next day. I start looking at macro clues. I start looking at stocks like Netflix, what they did a couple of days ago. There's a reason why I'm talking about that now. I started looking at some names that had really, really big moves. Never rally with the rest of the market, so I started looking at them now. But the most important part, I use the afternoon to really get a really good grasp of what might happen next. If you guys remember, a couple of, it was last week. It was such a long time ago. Last week, we started talking about a potential blow off top in this area. A lot of people, they didn't put a lot of stock into it because there wasn't a lot of clues. The next day, obviously, the market got absolutely shelled and the following day got destroyed. We're starting to get into a similar type of scenario going into tomorrow's session. Again, it might be a little premature, but it's starting to feel that way, starting to look at that. Again, we need to start talking about clues. What's making the market tired? Well, tired buyers will get tired. Eventually, when stocks attempt to break out, they're not going to break out because buyers are exhausted. They have been chasing these stocks up in this type of market. Even the most aggressive, formal buyers will get tired. It's just the reality. I started looking at clues midday and then I started looking at clues after the close. I kept on seeing the same thing over and over again. Let's talk about the technical aspects first and we'll cover the pivots in a second here. If you guys remember, right around here, this is the 12th of April. We got stuck right on this linear regression line and then the next day, we failed to take out the high and we really got destroyed followed by the next day. Two days really aggressive moves down. Now, we're looking at the same thing. You have these big, big bars to the upper area of supply. Same thing, big, big bars, upper area of supply. If you notice here, you have two days in a row of the action pretty much getting rejected within the same area. The high from yesterday was 231.76 on the Qs. Today's high was 232.13. Again, we don't want to split hairs. You're talking about ETFs and you're talking about major macro thesis. You're not talking about a normal stock, like a $3 stock. Well, $3.10 is a breakout. Well, stop the 309s. It's more of a general area. If you look at the general area here and you look at the general area here, you're starting to see a lot of similarities, right? Big meltup, right? Five-day meltup, rejection, turnaround. Big five-day meltdown, right? Meltup, rejection, went down. Now, the key to, again, any single move from price action confirmation, we need confirmation for the next day, okay? So if you look at the five-day moving average, which was from last week, the next day confirmed, we got destroyed. Now, we're right on the fight. We're a tad away from the five-day moving average. Again, I don't want to split hairs, so I'm going to give the bears the benefit of the doubt. So if we could confirm the five-day moving average for tomorrow, I think we'll have not necessarily a similar move, a destruction candle, but I'll show you guys some examples today of why I think there's a really high probability that we will expect a pretty aggressive, I don't want to say use the word aggressive. Let's just use the word back test and let the market surprises what happens later. Now, again, remember, this is just the thesis right now, okay, until the macro area confirms tomorrow this is just a trade setup, okay? We could gap up tomorrow, gap and go, and reclaim 232 on the Qs and go to all-time highs. Again, it's not about being wrong, it's about being prepared. So going into tomorrow's session, I would like to see the bears based on what I see, and again, I'll talk about that in a second. I'd like to see them confirm this five-day moving average. Again, the five-day is super aggressive. Just look what happened on the shorts yesterday, confirmation today with Netflix, and today what we saw on the downside of Tesla were their huge, huge reversal. So this is the big area, right? This is the big area for tomorrow. I definitely will be looking at a reversal for any type of weakness. I want to see the strong names. What we saw today, not participate, and that's the key, because it's not like the market was down five, 700 points and these things were getting shelved. They just weren't rallying with the rest of the market.  These stocks are just resting at a big run. Absolutely. You're absolutely right. But just in case they do confirm today's price action tomorrow, we want to be at least prepared for any potential rug pull. So I started looking at the leaders. And this is kind of your best way to gauge strength and weakness. So I started looking at the ones that had the biggest runs over the last two weeks. You started seeing ZM, and again, it took out the top of the channel here and it rolled over. You look, for example, like Tullo. And again, there was a really good pivot on Tullo today. Again, I don't want to use Tullo as the prime example. Again, I'm just trying to make a point of just showing you what happens after the buyers got tired after the breakout. So it actually got to the breakout level today. It went up 30 cents and sold off $3. Amazon had this really, really, really big run and just right when it was about to confirm, it rolled over. And again, do you see where it stopped? Everybody see where it stops? Right at the five-day moving average. Again, there's a theme here. There's an absolute theme here. Stocks like Facebook, right? Major, major, major run, right? Same thing. Major run, inverted hammer. Again, inverted hammer is the most basic tool to show you that a stock is weak or at least a stock is tired, but we'll be looking for confirmation tomorrow to the downside. And the biggest clue was two days ago. You guys remember Netflix, right? That's short from two days ago when it lost the five-day moving average. Netflix was the first one, okay, before Amazon, before Zoom, before any of these stocks to take out its 52-week high and then slowly but surely in the last couple of days got rejected just like we're looking at the Qs right now. Got rejected at the top of the range here, went down to the five-day, and got really, really destroyed today. And again, tomorrow, if this thing confirms tomorrow, it should go lower as well. So again, that is my initial that is my initial thesis going into tomorrow. Again, does it make a difference if I'm wrong or not, right? Who cares? Nobody cares. At least I don't care. Okay, if the market gaps and go and we get value to the upside, again, there are still areas of value that I like. For example, shop had a really beautiful breakout today. I traded shop today, great move. If it reclaims today's levels, and there's room, there's room more to the A20s. So there's definitely areas that I like, right? Even Tesla, for example, if it starts reclaiming today's action and confirms this whole area, I like that as well. But again, I think in my opinion, at least to the initial area, the value tomorrow will be to the sell side if obviously confirmed. If not, again, we switch buys very, very quickly and move on to the other side of the equation. So after hours, the big number was NVIDIA, right? NVIDIA had just an absolute monster run for 150 points from the March lows and again, close right on the five day. Again, coincidence, you make up your own mind. But the key is, how does the stock going to react after earnings? I personally think the stock probably will go lower tomorrow. It's down, you know, it's down what? 4 or 5 points after the close. That's not really a victory for the bears. I'm not talking about going down 4 or 5 points. I'm talking about if it starts confirming the bottom channel here and you can see it, right? If it starts confirming this bottom channel here, it has a lot of room down. So the idea that the stock is down after earnings, it's not a big deal macro-wise. Okay, because NVIDIA had a great quarter. They beat by 11 cents. I think they guided revenue higher. But the point is, again, there's always the question, the stock already had this 150 point run. Does it really matter how the market reacts to its earnings? So I think it's just for a trade tomorrow. But I definitely will be looking for the bottom of the range here. There's obviously an upside channel I like, right? Above here. And there's definitely a downside channel that I like down here. So we'll see which one confirms first. So that's kind of my view for tomorrow's session. Crazy day. I mean, crazy day a lot of big moves, right? A lot of big moves. Ironically my days started really bad. Like really, really bad. I keep on forgetting to stop trading Netflix prior to 10 o'clock. And the reason I say that, Netflix in the last two months or so has been trading really, really wide and really, really thin. And I shorted it yesterday. I had a really good short on this thing yesterday. Off the five day break. And I shorted it twice today. Once I got spread out, man.  It was painful to watch. So I shorted I shorted the initial move, right? I shorted the initial move and it went down like a dollar in seconds. But it was so wide, didn't have a chance to breathe.  They just don't sit there and let you get out. They will spread you out. 50 cents at a time. Yada, yada, yada. The next thing I know, I just lost $3 in this thing like this. So I started the day, I started the day really crappy, right? I think that's the best way of saying it. The only good thing about starting the day off crappy, you really have the whole day. Now I had two choices. Trade emotionally. Try to trade everything inside or wait for my setups. The novice trader, the inexperienced trader is always going to put themselves in a position they're trying to come back emotionally. I look at it as a value tier system one by one by one. Again, one day at a time, one trade at a time. And what really saved me today was there was super value, right? Ridiculous value all across the board and yes, it did take me three or four trades to get it back. But boy, oh boy, when everything started snapping, things had really, really aggressive channels and this day turned out to be a pretty aggressive day. So let's talk about this, right? First and foremost, congratulations to all you guys who caught on the video. Not in the video shop overnight. That's 766 confirmation channel yesterday. Stock gapped up today.  So congratulations to all you guys who had that overnight. But this was basically the trade that kind of started off my comeback. Boeing, you know, we talked about this for the last couple of days, the 140 the 140 to 150 the 145 call buyers all came in all came in the previous couple of days. So we knew there was money on the table and we just wanted to see it confirmed this morning. I think it was RBC that Boeing today with $164 price target and we knew how important this 137 area was 137 was the high from two days ago. It got rejected twice pre-market at 137 as well. Like I said, including must reclaim and build and Boeing does what Boeing does, right? Boeing does what Boeing does. So here was the 137 this whole area here was 137 including the 137 high and Boeing just absolutely exploded just just absolutely exploded and this is kind of started back my kind of road to recovery and again it's so easy to shut down when you especially when you get clipped very very hard in the morning a lot of new traders take it very very personally. For me, look it doesn't make a difference if it comes on my first trade of the day the second trade of the day my ninth trade of the day or my 19th trade of the week. A trade is a trade is a trade things are going to happen you're going to run into a bust-off and I caught a very very aggressive bust-off today on Netflix but again let's start off let's start off with Boeing huge move 37 that first candle went all the way to 42 and a half went as high as 44 just an absolute explosion on Boeing. NOW I still like this still almost $400 call buyers are coming in this whole week maybe maybe wakes up tomorrow shop $7.95 needs to build so again I'm trying to get it back one by one by one so I bought shop I bought it on the opening range at $7.99 and I only took about four or five points out of it wasn't wasn't a big trade but here at this point I'm just trying to you know chip away chip away chip away and shop was good I mean shop was really really good so here was shop right here here was the whole channel right here here was the $7.95 excuse me excuse me right here here was the $7.95 and it went the first move went to $805 perfectly and then you know went a little higher but again I'm just trying to chip away no home runs just trying to get on base trying to manufacture back and again that was the most important part and again this is one of those scenarios that again this is when I started getting the clues that stocks might be getting tired off the high so here was ZM 176 75 177 needs to build and again this is where the stock really should have exploded and it really didn't so 176 75 177 only went up a buck okay only went up a buck and reversed really really hard and that's when I started looking at Amazon that's when I started looking at Facebook that's when I started noticing Apple as well and again you know those that's the kind of trend that's going into tomorrow might be spilling over from war and this is where Tesla really gone crazy so I put in a pivot here on Tesla 827 to the upside 803 to the downside guess what they both confirmed right and this is what really saved my day as well 803 downside and again we were noticing Tesla just wasn't rallying for the last two three days just putting in lower highs and you know here was you know here was the daily chart I kept on and again this is the most important part folks I keep on talking about that five day that five day the shortest term sentiment so you can see here 803 was the low here it took out 803 I said it was going to get down to 796 on that first move and the reason why if you look at if you look at support I don't know if it comes off on camera but this faded line here you see this faded line here this faded line here is 796 that's the low so my lowest cover was that 497 tick open I was very very happy about it very very happy about it confirmed that 803 went down to 796 so then I said you know we're going to wait patiently wait for that 796 confirmation because if it happens I said hey there's a shot this damn thing could go all the way down to 787 but that's the whole point okay we didn't anticipate the move after it traded into the next support okay we waited okay that's the whole point we're not trying to forecast what happens next we're letting the market and we started watching Tesla got stronger and stronger and stronger and there was an area here if you go on my Twitter account right if you go on my Twitter account my regular one on the Twitter account I said this at this point of at this point of the day I go I'm just really really tired but if you look I go look for all you guys who are trading right for all you guys are trading keep an eye on I said keep an eye on Tesla if it starts building right if it starts building above 814 it could really get going if you go through my account again I can't find so much crap here yeah so here's here's here it is right here so I put this on the feed I go look I go I'm not in the trade I'm just too tired I'm already done for the day but I go look this is a big area here 814 if the bulls want to stretch it really needs to it really needs to reclaim there I go a weekly buyer just came in a weekly buyer just came in on the 820s keep an eye on that level and Tesla absolutely explodes okay absolutely explodes let me show you guys let me show you guys where that 814 level was right so here was the 814 level it was right here hold on let me show you the 814 level you see this supply zone right here 813 31 was the highest area in the supply and got rejected so 814 I said this thing is going to go to 821 get rejected but if it gets above 821 there's a shot against the 826 826 is obviously the previous day is high and then there's a shot it goes into the 830s and Tesla just absolutely exploded matter of fact we saw buyers coming in buyers coming in for the June 1000 calls over and over and over again so really big moves there really really big moves there then I caught Roku 114 downside that's been a big number there it's probably a scalp like 50 cents or so but again it is what it is again I was just trying to get back into it one by one by one and then the most amazing part is the stock that murdered me in the morning right murdered me in the morning I took it as a second entry and I don't want to say I murdered it back but at least I did something that a damn thing so Netflix caught me the first time around and I caught it the second right I caught it the second from here all the way down here so I wound up losing that first trade about $2.65 $2.70 and I wound up getting back about a dollar 8 of it so it worked out well but again it was just one of those days man it's like if I wasn't overly aggressive on a stock that I know has big white spreads it would have been really really crazy you know really really good day but again no complaints the most important thing and you know all of us were going through this in the webinar the most important thing was it was under control right it was under control was early part of the day there was no emotional revenge trading it was value after value after value and thank god right thank god there's a little stock called the best stock ever who definitely saved the day for me so guys tomorrow's Friday again it's been a tremendous aggressive channel on Fridays you know maybe we could have another one tomorrow so I am a little cell bias I want to wait for confirmation on everything but again there it we are setting up for a pretty good aggressive channel potential tomorrow guys have a great night everybody stay blessed and I'll see you all tomorrow congratulations for putting in the time to take control of your trading you're one step closer to owning your future and achieving the success you desire want daily trade ideas directly from Dan straight off his personal watch list unlock our free ps60 vault where you'll get nightly updates on pivot opportunities we're watching for the next day's session click the link in the description to get started today


Hi, my name is Sheridan Gentile, I'm a simulator at the University of South Australia. This year we trialled on task in molecules to tissues A. It's a first year core course in the School of Pharmacy and Medical Science. By the time we got to the end of the semester we had 242 students enrolled in the course. The way I see on task is that it's a tool which allows me to generate an automated yet personalised email to my students. This is particularly useful when you've got a large class and it becomes a bit difficult sending a personalised email to all 242 students. Essentially how it works is that you collect data on your students, their engagement in class, so it may be whether they viewed a video in your online management system, and that data would be in a spreadsheet. So let's say you've got a code zero if they didn't watch it and one if they have watched it. Then using the task you can write an email that then looks at that spreadsheet and so for every student that hasn't watched this video, they'll get an email that says, you know, dear student, hey I've noticed you haven't watched this video, it's really important that you keep on track of this because it's critical for the next topic moving forward. That could be half the class and the other half will also get an email but it will say something like, we've noticed you've watched the video, really great to see that you're engaging with the material, this is a critical one moving forward. So it allows those students who haven't been engaging, allows you to contact them and give them a bit of information as to why it's important and what they can do to move forward. And the ones that have been engaging it reinforces that positive learning strategy that they've developed. So what prompted me to use on task? Well for a number of years now I collect data throughout the study period on student engagement and then manually I go through and contact those students if they haven't been engaging to sort of particularly rank each of the points during the semester licence date for example all critical assessments that are coming up. But because of the number of students I often found that I was only contacting the ones that were engaging and I was I guess neglecting I guess the other group of students which were the vast majority of them that were doing a really good job and you just need that sort of that encouragement to move forward. So on task has allowed me to speed up that process so it's far less manual and it allows me to reach all of my students and give them a customized message to help encourage them in their learning. So having taught first year students for quite some time I find particularly in the first few months they really need that touch point to sort of see how they're going. So one of the things I really wanted to achieve using on task was to enhance that I guess student experience in that first point so they can get a bit more personalized direction on how they're going particularly if they're sort of in the middle and they're not tracking too well and it also opens up that door for them so that line of communication starts and they feel as though they've got someone here on campus that they can come and speak to because people are looking at how they're going. It's quite easy for a student to feel lost in a class of over 200 students particularly if they've come straight from high school where there's just smaller classes. So it makes it feel as though you have that personalized contact and I think that's really important to learning. What impact has it had? Well I think it's hard to measure the extent of the impact. I know after the mail-outs I'll often get emails from students or I've had students come up to me after class and say oh you sent me this email that said that I hadn't completed something I'm really sorry I'm just running a bit behind. So they feel as though someone's watching but it's also opened up the doors I guess for conversations a student may not have normally had with me so I've had students come to me and say okay I've got your email. Thanks very much I know I'm not tracking really well in this area can we talk about some learning strategies. So I think it's had a really positive effect on student outcomes. We've sent some surveys out to students as well to collect some more data and I can't share that with you right now but again it seems to have had a positive effect on students around moving forward in their studies. I think using on-dust has forced me to rethink how I structured my course because I guess the aim there for me was to be able to collect as much information as I can without me having to do any additional work. So I did have to think a little bit of how I structured and what are the key I guess pressure points within my course. So I guess in the first instance in some ways I had to spend more time so I don't want to say it was hard I had to put more time into thinking about other courses being delivered but long term I think once you sort of get that right and you know the pressure points and you know your critical days it would definitely reduce I guess some of that load and would have a beneficial effect on student outcomes. So if I were to sit down and chat with someone about using on-dust for the first time I would definitely say you need to have a really good think about your course and the structure of your course. Know what's important in terms of key concepts or learning activities and if a student doesn't complete that what impact does that have knowing that kind of information allows you to pull engagement data about that and generate an email that can be sent at a critical point through your semester or study period that will have maximum impact on the student. So knowing your course and I guess looking at your course through a different lens. Overall I'd say it was minimal time and effort but for the honest the first time I used it probably required a bit more of my time than the second time I used it. I wasn't as familiar with how to nicely sort of structure the email with the different conditions and rules etc. and uploading the student database and just getting all that right but overall I wouldn't have said it was any more time or more effort than the manual method that I'd been using for the previous six years. I don't think you need to be very techie to be able to use on-task successfully. If you're familiar with using Excel spreadsheets and learning management systems then it'd be no more complex than that. Everything has its quirks so once you sort of go through the instructions the first time or watch an instructional video the first time it's then becomes semi-inchilding so not too hard.


I lived in New Orleans growing up, and it's usually super rainy here. The monotone pitter-pattering of droplets reflecting off of everything it can reach served as a form of comfort as a child. As someone with a few siblings, it was almost always loud. The rain and the almost complete silence it came with was like heaven. I have various fond memories of sitting on the front porch of my childhood home getting drenched during the summer holidays. I remember one time me and a few friends danced in it. I'm currently staying in a cabin with my family in the woods for a few days, and it just started raining. Before school ended a few months ago, one of my deskmates showed me this cool looking game. She downloaded it on her phone and said it was awesome. I've been waiting for a good opportunity to use it, it's supposed to utilize your phone camera, and it works best during rainy days. I'm using my computer to write this on so I can also use the app, and I'm going to write down my review on here to post later. The way she hyped it up made it sound so cool. The logo is a raindrop with a few sparkles on it, pretty soothing if you ask me. After loading up the app, it buffered for a few seconds before opening properly, but it's probably because of my internet quality. The way the home screen is designed looks pretty navigable. From the setup I'm assuming it's a filter app. It's set like a camera app, or maybe the Snapchat camera thingy. I don't know how to explain it. The color combinations are aesthetically pleasing, a mix of navy blue and silver. When opening up the actual usage portion it looks just like any other filter app. Their selection of different filters is quite vast though. I wonder how they fit so much into so little storage. The app itself only took a few seconds to download. Maybe a majority of the filters are hidden behind a paywall. I hate when that happens. Also the name of the app is Rain. It's pretty basic but it's literally a rain app.  I'm going to try using one of the fairy filters. It's pretty crap, again, I shouldn't have set such high standards, it's a filter app. I'm going to upload one of the pictures I took using it. The fairy's design isn't horrible, though they probably just used a stock image. There's another filter here, the image for it is blank and it's not showing up on my phone. Never mind, it just looks super transparent. It's giving me the heebie-jeebies just looking at it.


Welcome Marie, you had an exciting game with Sabino today, tell us something about it. It was a very complicated game. I didn't prepare for this line before the game, so I was upset when he played this line and it was very difficult to find the move. But finally I managed to make the draw, so it is very good results and I hope it will be good for my team. Yeah, well it was a very exciting game. It swung backwards and forwards a little bit, didn't it? At one stage you seemed to be doing very well. Sorry, I think you started off not doing so well and then you were doing well. Yes, yes. And then it kind of faded away, but it was an exciting game, wasn't it Sabino? Yeah, of course, yes. Well let's have a look at the game. Okay Marie, we're looking at a Karakan here, your opponent played against you and what happened here? In my first game I played this against Leandro Criccia and he took on C4, but in this game he played D4. I didn't check for the line before the game, so I couldn't remember in my game which is theory, but okay. Queen B3, no attack, sorry queen C7, okay. Now knight E3, E6, I just remember this time, but queen E4. Yeah. Roop D8. Roop D8? Yeah, B4, E6, and now bishop D1. I just remember this, but this move, but I didn't remember the idea. Is this being, this is known theory, is it? Yes. Yeah, I've never seen anything like this before. It's very complicated. And now he plays this, and this I think, no he don't play bishop E7, he played Roop D7. Oh, Roop D7, yes. That's right. And bishop E2, I think it's mistake because he's for... The knight comes in on F4, yeah. But I play bishop E2, okay bishop E7, it's easy too. And now he took on C2, and I have to take on, with my bishop, because of the pawn. I see, it takes a long time to get back to the E4. Yeah, but it's done very badly, I see, because now I have one pawn, one pawn up, so I have to keep. One pawn up, yeah. You just play initiative, you have to keep. And now it's, it looks, okay, from white. Because queen take on C2, it's, it's worse, I think. Yeah, yes, of course. But I don't like my queen. So what's your assessment of the position at the moment? Yeah, but I didn't play because I don't, I didn't like my queen, it's outside. Yeah, so you're a pawn, this looks very nice on this side, but so do you think you're better here, maybe plus one? I don't know, because I have castan, N84, it's, they are the pawn, my queen is... But you gave, you gave, gave up this pawn? Yeah, it's a mistake. To centralize your queen. Queen C6. And these are very weak now, these pawns, aren't they? Yeah, now I will be pawn down. Pawn down, yeah, that's right, it's a swing of fortune in this game. So, yeah. Queen G4. Queen G4? Yeah, sure. Yeah, trick, the trick is to... And now we took on G5 and I cannot take on this because if I take, oh, if I take on G4, yeah, he takes, takes, NH5 and mails. Oh, that's nice. I see. Yes, it's very good for, for black, of course. Sure. So you had to go 91, yeah, okay. And this was winning for black because if I play just this, it's horrible, isn't it? I would play this, but N84 and N92. It's very strong, isn't it? Yeah. Yeah, you're just going backwards. Yeah, okay, so you were probably losing if you played that. Queen E4. Queen E4, yeah, I was happy with that because now I can trick. Yes. Yes, you can develop. Yeah, it's quite easy. Yes. And I am, I have one turn down, but okay. Yes, you've got some play and, yeah. Queen E4 and now it's, I am one turn down, but it's, it's okay for white because I have two bishop and I have square. Yeah. It took. Took, yeah. And now it looks very good for, it looks like very good for white. Yes. Yeah, yeah, it swung back in your favor now, the position, hasn't it? Yeah. Rook c7, rook c1. No, c5 got played. Yeah, I play c5 because I don't want N90, B4, so I cut the bishop. Yeah, so c5, N97. Queen g2, just queen b5, and now I can maybe take some advantage with this move. F5, yeah. Yeah, tech, tech, and I have some pressure, pressure on bishop, B3 and N92, N84. Yes. It looks like very good for white now. Plus 1, plus 1.5 or something like this, maybe. You've got compensation anyway. Yeah, I have a lot of contribution. Yeah, okay. Yes, I think I did see that on the. But I didn't see that. Yeah, B6. Yeah. C6, rook c8, and now it's and it's yeah, everything is coming off the board. Big, big exchanges, always very difficult.  Nothing to see here, as they say. Yeah. Okay, that's very much Murray.


starting the webinar. And we are recording and we are live. I am Jonathan Salam. I am the chair of the OPM subcommittee to the school building committee. And I'll have our other members introduce themselves. And I'll start with Anthony. Anthony Delaney pro-carement officer and member of the committee. And Kathy. Kathy Shane. I'm chair of the larger school building committee. And I'm also on the town council. When I am out of school. My name is Dwayne Chambu. I am the out of school town coordinator for the Amherst Pellum Regional School District. And Steve. I'm Steve Schreiber. I'm a town counselor. I'm the vice chair of the elementary school building committee. And my day job is I'm chair of architecture at the U.S. So at this point I'll turn it over to you to introduce yourselves and present to us today. Great. So if I can share my screen, then we'll truly present here and get our introductions going. Can everybody see my screen? Great. Excellent. Well, good afternoon and thank you for inviting calliers to present our team, our experience and our approach for this very, very exciting project. We're very happy to be here. As you can see from this map of the Commonwealth noting our project locations, you know, in our partial list of MSBA projects shown here, we have a tremendous amount of experience throughout Massachusetts, most notably our recent projects in Amherst and surrounding communities. Our office locations are noted by these red, red little indicators and indicate our proximity to Amherst. We have an extremely diverse and strong team that we feel will serve Amherst well. The core team will be comprised of myself, Ken Gaillet. I'm a senior director. I was an architect in the former life, gave that up about 20 years ago and then an owner's project manager ever since. I'm also a U.S. Army veteran. I'll be responsible for the overall delivery of our services. Phil Palumbo is our senior project manager for the project. Phil, can you share a little bit about yourself for the committee? Hello, nice to meet you all. I've been with calliers for the past nine years, been working in design and construction for the past 20 years or so. And my project type has been predominantly public, publicly funded construction projects in the Commonwealth. Great. Thanks, Phil. Liz Gelderas will be your primary point of contact. She's your project manager and she'll be responsible for the day-to-day activities throughout all project phases. Liz? Yeah. Hi, I'm Liz. Thanks for having me here today. I'm a registered architect. We have a great experience. I also have an interest in certification in sustainable design and construction. Next, we have our team of subject matter experts that we've chosen to align to support your core team. I'll let them also introduce themselves. Ari? Hi, good morning, everyone. I'm Ari Charles. I've been with calliers for the last nine years and then another 15 years prior to that in the construction industry. I will be managing the on-site construction as we get into the construction phase. Thank you. Thanks, Ari. Teresa? Hi, I'm Teresa Wilson. I'm also a registered architect. I'm also a member of the American College of Healthcare Architects. I work across all sectors, but a focus on healthcare design. And just really quickly over the past year, I've been facilitating meetings with 70 organizations about pandemic designing for pandemic and beyond. That was with healthcare groups. And we translated that to a school superintendent format this past summer. So I just want to talk about my focus for you guys. It's going to be looking at providing the safest environment possible for everybody who enters your school. Great. Thanks, Teresa. Adam? Thanks, Ken. Good afternoon, everyone. I'm Adam Troidel. I'm the sustainability resource always available to this project. Coming up for a project I currently have under construction, I've been the direct project manager and sustainability champion on the other side for over a million square feet of LEED certified space. And including 1700 square feet of that is the home I'm in right now at my home office, LEED certified in 2013. Great. Thanks, Adam. Robert Lee, who you see here on the chart, is actually one of our commissioning agents. He does commissioning and energy services throughout the Commonwealth. He'll be tasked with being our MEP support during the design phases, as well as assisting us during the construction phase to reinforce the MSBA's commissioning agent. How about Tao? Tao? Hi, I'm Tao Nguyen. I'll be your project accountant in your MSBA progress payment guide. Having a date and over half a billion dollars of pro-pay submissions, I hope to assist you with all of your reimbursement request needs. Thank you. Thanks, Tao. In addition to those that you've seen here and heard from, we have well over 140 professionals ranging from architects, engineers, contractors, building officials, et cetera, that were able to leverage for this project's benefits at a moment's time. So a very, very deep bench. In addition, we've been extremely successful in working with John Fitzpatrick and the Commonwealth's Supply Diversity Office and also our client districts over the years to ensure that we have maximum participation in exceeding established goals throughout all phases of the project for MBE, WBE participation. In the event that there was any confusion regarding our plan, we want to make it clear that we will commit to at least a minimum of 20 percent of our fee that will be attributed to MBE, WBE participation, such as these three sub-consultants that you see here before you. Climate advisory for sustainability and resiliency, a lot incorporated for cost estimating and niche engineering for some existing condition survey. We have a lot, obviously, that we could talk about, you know, but having sat in on your committee meetings over the past several months and with only 15 minutes to present, we felt it best to focus on three key topics that you'll see in the subsequent slides. Bill? Ken, so on this slide, we'd like to speak to your question number one regarding a challenging elementary school project that we've worked on on the slide here is the Lincoln Street Elementary School Project, another MSPA project. This was a four phase owner occupied addition renovation project. The existing building was right around 50,000 square feet, the gym addition in the back or the right side of aerial image was right around 10,000 square feet. As you can see, not a lot of usable site space. So a lot of stuff to get done in tight quarters. In phase one, the initial stages of construction we constructed modular classroom swing space out front, the green space there to the left of the existing building. Once students and staff got back from summer break, a portion of them moved into the modular swing space, that vacated space from the existing building is where we started our renovation process, firewalling off on both sides of the renovation zone and essentially starting the renovation process in four phases. So as we would complete spaces, we would move students and staff into the renovated area, take over their space and do that all on, I don't want to say it took 14 to 15 months. So all the while needed to maintain mechanical electrical plumbing systems, phone systems, PA systems. There were portions of the renovation process where some portions of the building were working off a new system, some were working off of the existing. So a lot of stuff going on. Got to make sure there were no noise issues relative to MCAS testing, no dust issues getting through the construction barrier. So a lot of stuff going on, a very challenging project, but a very successful one as well, came in on time, on budget, a very high quality level. And I'm sure he would have called John Coteer, the town administrator of Northboro Mass, he would say the same thing. So on this slide here, we want to provide our experience on school consolidation projects with the MSBA. We understand your project potentially could be a consolidation of Fort River and Wildwood. The Maple Elementary School Project in East Hampton Mass, that's a consolidation of their three elementary schools. The East Meadow Elementary School Project in Granby Mass recently completed. That was a consolidation of two of their elementary schools, as well as a project not listed on this slide. The Templeton Elementary School recently completed was a consolidation of two schools in Templeton and one elementary school in their neighboring town. So we have that that experience with facilitating the holistic approach and perspective during the early stages of the feasibility study so we can reach out to both staff bodies of both schools, the student bodies of both schools, the parent groups of both schools. Let's get them involved in the educational visioning so they all feel part of the process as well as during community outreach so to make a conscious effort to reach out to those two community groups. So everybody feels like their voice is being heard, questions are being answered, comments are being responded to so they all have a positive outlook on the project. We understand EMRS has a high desire for a lot of sustainable design features. We understand you have the bylaw in town to make sure that new projects are at least net zero ready. That's very common with all our clients these days. The upper two images on the slide here is information taken from the Dover Community Center Project. That we were the OPM on. They also have a desire for a lot of sustainable design features. They wanted to lower their carbon footprint. So on that project they were looking at all electric HVAC systems. So the information on the slide here is some of the operations and maintenance costs that we provided during some engineering meetings during design. With that information coupled with estimates on upfront bid costs for the two different systems. So one system being a air source VRF system. The other being a ground source heat pump system after weighing the pros and cons and the financial limitations or the applications that came with those systems. They ultimately chose to go with the air source VRF system. So we got plenty of experience taking care of design team members in their role and providing that information that information at the engineering meeting, you know, the information of the upfront bid costs, maintenance costs. We can provide them with utility bills, relative to operations costs. But we have a lot of experience in making sure design team members uphold their task in role in this so you all can make an educated decision during design and what system should be in this project. Regarding your question, number five in terms of how we view our role in our management style relative to a school project. First, in terms of our role, we view our role as an extension of your staff, whether it's a school project, a library project, a senior center, whatever it might be. We're an extension of your staff. We might as well be in the office or cubicle next to you at Town Hall. Our sole focus is to look out for your best interests. We're not an architectural firm that is moonlighting as an OPM, an engineering firm that's moonlighting as an OPM. We're strictly an OPM. That's what we eat, sleep and breathe. And that's our main focus is your best interests. In terms of management style, I would say we're firm but fear, right? So, you know, as an OPM, we have our contract terms. We got to uphold. We expect the design team to uphold their contract terms. We expect the GC or CM to uphold their contract terms. If it means there's a portion, there's a time during the project where we have to pull aside a design team and tell them where they're falling short and tell them to get it together. And that's what we have to do. If we have to do the same to a GC, then that's what we have to do ultimately. Our main focus is making sure your best interests are being met at the end of the project. It was it was viewed as a success. With that, I'll hand it over to Liz. Thank you. Thanks, Phil. So I'm going to speak a bit about sustainability now. So Collier's project leaders are uniquely positioned to address any sustainability concerns and ambitions the town of Amherst might have for the Fort River School project. Aside from having a really impressive portfolio of MSBA projects, which you might know requires meeting either any chips or lead certified standards, Collier's have also worked on over 160 projects that were lead certified silver or higher, which would qualify you for bonus points if we were to do that for the school project. And we also have 15 net zero or living building challenge projects in our portfolio as well. We also have an internal group of specialists that we call the green team, which I'm personally part of, as well as Teresa and Adam, who are also on this call. Teresa leads our health and wellness, as well as resilience initiatives, while Adam leads the energy and carbon initiatives, which includes assisting with securing rebates and incentives for your projects, which is great for your bottom dollar. They'll be available to speak a bit more about this during the Q&A session. Next slide, please. So in terms of community outreach, Collier's has a project, has a proven track record of building community consensus to get our projects to that all important yes vote. We'll be looking to build upon and maintain any community support that you already have right from the feasibility phase all the way through project closed out, including move in. So firstly, we'll be listening to your project needs in order to understand what your priorities are, and we'll be looking to learn more about that positive support that you might already have, as well as any negative perceptions that might be out there within the community so that we can address those as soon as possible before they take on a whole life of their own. One of your questions was about getting some specific examples of what we've done for community outreach. So I'm just going to touch on some stuff that we did recently that has been a little bit creative due to the COVID-19 restrictions that we've faced. So one method that I think was very successful and that we would want to look at doing going forward is doing these narrated short films that take people on a tour of the existing buildings and really highlight in short snippets what the key issues are so that that's available to the community on an as needed basis and removes the need for doing open houses and really just captures the main reasons why the building needs to be upgraded or the facilities need to be upgraded. We also hosted drive in style town meetings at local sports fields, which gave residents an opportunity to to participate in in a community meeting, which was previously not allowed due to COVID restrictions. We broadcast over the local radio station for residents to listen in and they were also able to voice their concerns in a safe, organized and productive public forum. And this also gave us the added benefit of giving the project team the opportunity to respond to any concerns right there on the spot. Another method of getting community support that we've been looking into has which also has added benefit, financial benefit to the community is to actively encourage our project team members to hire local consultants, contractors, subcontractors and vendors whenever possible. So we'll be working with Anthony with on that as much as possible in order to compile a list of local businesses advertised locally and really get the project team involved with contacting those local businesses whenever possible. Moving on. Oh, and one last one last thing there on the community outreach was just that both Oriana and I, who is our community outreach specialist as Spanish speakers and we would welcome listening to any thoughts, questions and concerns that the community members might have in their preferred language, whether that be English or Spanish. So on this slide here, we have an example of a module three, which is the feasibility phase evaluation matrix for the MSBA projects, which were previously used to assist the district in determining their preferred scheme. On the left, you can see a list of prioritized criteria, which is very specific to each project. So we'll work with you on that. And then on the right, you can see a series of colored columns here, which identify different project types. So we've got the MSBA required base repair, renovation, add renewals and new construction options. In real time, we were able to record the votes and the preferences for each project or preferred scheme here. And you can see clearly with just as a color visual here that the C2 was the preferred option here with mostly green, and then this was really just a tally of all of the the votes and preferences in real time. So this was particularly useful to present to the community that a and also to the MSBA that an unbiased and informed decision was made. So that was helpful there. Next slide. And then another benefit of having Collier's project leaders on your project is that we have access to this really exciting web based project management platform called Collier's 360. Using Collier's 360, we can manage and share real time information on the project budget, invoicing, schedule. And we can also store key documents, including meeting minutes, reports, mission materials and any other key information that is necessary for the project team to access. The system can be accessed from your computer, tablet, like an iPad or a smartphone like your iPhone and making it really easy to have project information at your fingertips and for everyone to have access to the same information. So over to you again. Thank you, Liz. And with that, we'll complete our initial presentation slide deck and would love to open this up for Q&A. Take myself off mute. And I apologize, I had to put my screen video off for a moment. And so I'm going to just confirm that as part of your formal presentation here, you didn't touch on our question number four, at least I didn't hear that and so we would like to hear that. And also question number two, I think we have slides to to answer question number two more formally, as well as question four, if we could. OK, I don't know if we should just I feel like you've probably covered question number one fairly well. I don't know if you have more for that. No, just question two and four at this point. OK, so why don't you start with two and then get to four. OK, Adam. Thanks, Ken. Yeah, you know, on our next net zero experience, we've been involved in more than a dozen net zero projects. Several were featured in our proposal that you that you all receive. One is about to enter construction as Connecticut's first net zero school building at Mansfield Elementary and bits of that project have come in 10 percent under budget. So there's a great story there. We also have a mass DOT administration building in the close out phase right now. And that'll be zero energy certified with the International Living Future Institute. Now that's a performance based certification, so it won't be officially awarded until it's operational for a year. But that allows us to obviously prove its performance that it is net zero before they issue that certification. And then near you at Hamptree College, we've commissioned two net zero buildings on their canvas, which are both living building challenge certified. And right now we're the OPM for a net zero science center currently under construction at Wellesley College. So those projects and you know, several others really that combined experience uniquely positions us to ensure that your school becomes a valuable community asset is sustainable, healthy, resilient building to serve the citizens of Amherst, you know, long into the future. We also noted that Amherst had won an MVP grant through the state to develop a climate action adaptation and resiliency plan. So we certainly see ourselves interacting with that plan in any way possible to advance the talent goals through that project. And as Ken mentioned on one of the earlier slides, we have a great relationship with Lisa Churchill at Climate Advisory and her woman-owned business is founded on, you know, some long-eath experience Lisa has with an international engineering firm providing guidance, both on diverse, you know, building projects, as well as at the program level, the organization such as the UN and the World Bank. So we really see the potential for this project to complement other local efforts in the town with your zero energy bylaw and, you know, wanting the school to obviously be as sustainable as possible. Great, thanks, Adam. And to answer question four, I'll take that question and feel that question. And to my knowledge, we have never been terminated from a project. We did have one end without proceeding and that was early on in my career with Collier's and that was the Monument Mountain High School Project in Great Barrington. That high school actually serves three communities, Great Barrington, Stockbridge and West Stockbridge. During the FSA process, the feasibility study process, including the get out the vote initiative, you know, the commentary and feedback we were getting from the constituency was largely positive. So based on this, the building committee decided that the best practice would be to stay quiet as they're, you know, they had a very high confidence level and a positive outcome. Unfortunately, due to the financial constraints of one of the communities, which was not, again, represented in any feedback, that outcome ended up becoming not favorable and we ended up losing that one at the vote. As a direct result of that outcome, though, we've been able to leverage that scar tissue and learn that we have to be very proactive on all commentary, not just the positive. And since then, on the numerous MSBA projects, core projects that I have led, which is over eight at this point, we've had the good fortune of leading those that have completed that module four to yes votes. Most recently, at the Cape Cod Technical High School Project, which was, you know, again, has 12 sending towns that required to vote for approval on the project. And that meant, you know, again, 12 different get out the vote initiatives, including listening sessions, program and design reviews. We even did a local radio debate. And as a result of our efforts on that project, that project passed overwhelmingly with well over 75 percent positive vote. The project is also recently finished in a high note as we're able to complete that project a year early and 10 percent under budget. Likewise, we've also been successful in other state municipal projects, such as the recent council vote for Jones Library, you know, our experience over the last five years with Amherst and the Jones Library, that's going to allow us to be able to hit the ground running. And, you know, one of the first statements that Austin shared with me when we came on board, you know, is that well known saying about, you know, the only thing silent and Amherst is the H. And his words prove true, but in large part, you know, this is something that we experience daily with many of our clients. And as you can see from this this slide before you, which is again, not meant to be an eye exam. This is this is your project schedule. This is, you know, the feasibility study schedule that shows how we're going to get and clearly to be able to delineate the process that we'll have to go through over the next 30 or so months to complete MSBA modules two to five. In addition to everything that you see here, all these MSBA related tasks on this schedule, we're going to have to expand this schedule out to address all the tasks that are going to be required to effectively reach the community. Once we're on board, we'll improve, you know, we'll employ a proven tactic and multiple tax tactics that we will help maximize our effectiveness on the community outreach and to get out of the vote initiative. One of the things that I like to talk about is something I call the rule of thirds, which I may you may have heard before on one of our other public meeting addresses, which essentially is, you know, your constituency is historically going to break down into thirds. You get a third that's positive and will vote yes for the product no matter what, you've got a third that's negative and will vote no for the product no matter what. And you get that third in the middle, that's really could go either way. There's your focus. That's what you've really got to be adamant about focusing on. In addition to making sure that the entirety of the constituency has all the updated information, we're totally transparent with everybody, we have to make sure that we can take that one third that's in the middle and bring that over to the yes side and get that two thirds majority that we want for our project going forward. In addition to expanding on slightly on what Liz said earlier, you know, there's a saying that that a lie can travel around the world before the truth even has a chance to get its sneakers on. We understand that, you know, this is this is really, you know, we really work to ensure and that your story is effectively getting out to everyone that your vision is getting out to the constituencies, and that we're proactively monitoring and addressing not just our specific meeting and listening sessions, but all of the social media platforms and print media everything that's out there. It's extremely important that we get to address any liar confusion with the truth and clarity as quickly as possible. So with that, I'll answer and we'll answer any more questions you may have. Steve, did you have something? Yeah, that's OK. I just want to make a comment about Ken's comment. The third third third. So we used to have representative town meeting in the MRS 240 members. But someone actually mapped it out, you know, red equals no vote on everything with green equals yes. And you are exactly right. So there's one third that I've always voted yes. Another third always voted no. So it's really interesting that you that that observation is interesting. But my question is this. So when you get beyond a mom and pop operation for anything for OPMs for any, it's hard to contact race. So what I mean by that is my question is really about the net zero school in Connecticut, which I think that's a T K S P. So you say that Colliers has experience, for example, with that. Do you all directly have experience with that? Because I only found a mention once in your RFP, for example. But is that one of your people on this team or is that the sort of the institutional experience? So, Steve, and that's a great question. And I honestly, I didn't want to do my own horn about that one. That is actually one of my project teams. One of my projects. It's actually in my hometown. And it's going to be built a mile from my house. So that's when I am heavily involved in. But I didn't want to skew it by talking too much about a Connecticut project. But yes, that one is is one of my projects. Do others have questions? Yes, I'm I'm I'm muting. You talked about I'm looking for the words you used. Firm, but clear. Have Ken in in terms of your style in the way you are working with the components of the larger team, including the building committee. Can you describe any had there been situations where people had a different view of something and you had to get to yes. And it mattered before you could go to the next. So I'm not just talking about the vote in the town, but strongly held the view and what you did on it. And, you know, yeah, I'll stop there. Sure. So since Phil mentioned that firm, but fair, I'll let him toss that question to him, Phil. Or so, Kathy, you know, every project we work on, there's a instance or two or three or four or five. Well, you know, big part of our role is educating, let's call it the layperson. I guess it doesn't have to be a layperson. They could be an experienced person, whether it's on the owner's side or not, that has a differing of opinions as to what we think the best resolution is to an issue. And, you know, ultimately, our tactic is to provide you all with the facts. Our job really isn't to steer people in one way or the other, because ultimately there's going to be an end to the contract. And this is going to be Amherst's building and Amherst's site. So I mean, we want you to be happy with it. So it's our job as the professional, give you the facts. You know, so there's plenty of projects where, say, for example, I'm currently working on the South Hadley Senior Center Project. South Hadley recently fell into a grant where they can get funded from the state to do a fitness trail along the same property that we're building the senior center. So you have one constituency group that is all for this fitness trail. And then you got one group, you know, kind of more towards accounts on aging that wants the money that might be pulled out of the budget of the senior center and potentially go to some of that to stay with the senior center stuff. Maybe own a request at the end of the project when we have that budget surplus. So my job on that particular example is to give the facts, you know, so here's the breakdown. Here's what the grant's going to cover. Here's the surplus or the deficit that, you know, if the talent chooses to do that, it can come out of the senior center project budget. If that does happen, here's what's remaining out of contingency. You guys make the choice, you know, and that's kind of how we try to keep it. We don't want to act like we're steering, you know, one way or the other on any of these scenarios. So I hope that answered your question. Okay, thank you. Yep. Other questions? Good. Okay. Anthony, did you have something? No, I just, my standard end of meeting notes, if you could send me the slides over email after this, I would appreciate it. The recording will be up on the town's YouTube channel in time eventually. That's all. Great. Well, thank you very much for your presentation. And with that, I will formally close this session. Thank you. We very much appreciate it. Thank you all. Thank you. Stay safe.


We are studying rigid rotor and at the moment we are trying to set up Schrodinger equation for a rigid rotor. So far we have reached a situation where we have written the Hamiltonian well we have arrived at the same Hamiltonian in two different ways. Like the last discussion we had in the previous module was that we started with the L square operator we realize that the Hamiltonian is bound to be this L square operator divided by 2i hence we got minus h cross square by 2 mu r 0 square multiplying 1 by sin theta del del theta operating on sin theta del del theta plus 1 by sin square theta multiplying del to del phi 2. And now we will define the wave function in a particular fashion and then we will try and separate the equation into individual equations in theta and phi. To do that first thing we do is we write the wave function as a product of a theta dependent part and a phi dependent part. Let me just paraphrase this expression to you because generally for us Greek letters are intimidating there is nothing to be intimidated it here on the left hand side instead of psi I have written y. Now yj what is j what is m let us wait a little bit I will tell you what they are they are basically quantum numbers their functions of theta and phi that we have written as a product of capital theta which is a function of theta. So capital Greek letter here is a wave function small Greek letter is the variable or coordinate. So capital theta is essentially the theta dependent part of the wave function and capital phi is the small phi coordinate dependent part. Why do we write it like this because we cannot write it as capital theta plus capital phi can be I mean that would be dimensionally inconsistent we can multiply. So for separation of variables in situations like this it makes perfect sense if we take the wave function to be the product of wave functions in independent coordinates that is a very standard technique of separation of variables. Now what I need to do is I know the Hamiltonian already I want to take the Hamiltonian and make it operate on the wave function and here since I am going to separate the equation into two different equations we have as discussed already written everything in theta in blue except the sin theta and everything in phi in green. So our purpose will be to get all the blues on one side all the greens on one side all theta dependent terms on one side all phi dependent terms on the other side that is what we will try to do. So first of all look at this well look at the second term that is easier 1 by sin square theta del 2 del phi 2 operating on capital theta capital phi capital theta is a function of theta and not phi. So as far as phi is concerned it is going to be constant and capital phi is a function of small phi not a function of theta. So what is forget about this 1 by sin square theta for the moment what is del del 2 sorry del 2 del phi 2 of capital theta capital phi capital theta is constant goes out and you are left with del 2 phi del phi 2. In fact it makes perfect sense to write d phi d 2 phi d phi 2 because there is no theta anymore capital phi is exclusively a function of small phi. So there is no point of writing delta anymore I have continued with delta in the subsequent discussion but I hope you understand that delta is not even required d is fine. So the second term will be capital theta by sin square theta multiplied by d 2 d phi 2 d 2 phi d 2 capital phi d small phi 2 what about this one here capital phi will be constant. So we will get capital phi by sin theta multiplied by del del theta operating on sin theta del capital theta del small theta. So this is what I get right what are you trying to do we are trying to separate the equation. So first of all let us multiply by 2 mu r 0 square divided by h cross square that is very simply to get rid of the coefficient here and we will also multiplied by 1 by capital theta capital phi why because once we do that here we have capital phi in the numerator if you multiplied by 1 by capital phi capital theta then phi and phi cancel you are left with capital theta. So you will get capital theta multiplied by 1 by sin theta well 1 by capital theta multiplied by sin theta then del del theta operating on sin theta d theta d theta d capital theta d small theta. So in that first term there will be nothing in phi anymore what about the second term in the second term we are going to have well capital this capital theta will go 1 by capital phi sin square theta d 2 capital phi d phi 2. So sin square theta will be there but in the next step we will get rid of it. So this is what we get 1 by capital theta sin theta del del theta sin theta del del theta del theta del theta del theta remember this del is not even required d is fine plus 1 by capital phi sin square theta d 2 capital phi d phi 2 equal to 2 mu r 0 square by h cross E. So I have got rid of the wave function from the right hand side but even though the first term in the on the left hand side is sorted the second is not. So to get rid of that it is not very difficult to see what I have to do I have to multiply by sin square theta right. But before I do that let me rewrite this minus 2 mu r 0 square multiplied by E divided by h cross square as minus beta why minus beta because that is how it is written in solution of Schrodinger equation for hydrogen atom whatever treatment we are doing now is exactly the same thing that is done for the angular part of Schrodinger equation for hydrogen atom right that is why it is so attractive other than it describing a rotating molecule in the first place we will write it as minus b. So what do we do we multiply by sin square theta and then we can rearrange right because once you multiply by sin square theta the first term becomes sin theta by capital theta d d theta of sin theta d theta d theta second term becomes 1 by capital phi d 2 capital phi d phi 2. So nothing in theta anymore on the right hand side you have minus b multiplied by sin square theta you are multiplying throughout by sin square theta remember. So if I bring that minus b sin square theta to the left hand side then left hand side and if I take this 1 by capital phi d 2 capital phi d phi 2 to the right hand side then the left hand side will be entirely in theta right hand side will be entirely in phi something like this sin theta by capital theta del del theta of sin theta del theta del theta plus beta sin square theta is equal to 1 by capital phi well minus 1 by capital phi d 2 capital phi d phi 2 please remember the capital letters denote wave functions small letters denote coordinates okay and I have not written capital phi and then small phi in bracket because the notation is such that it is not very difficult to understand alright. So almost done but now what we see is on the left hand side we have an expression in theta on the right hand side we have an expression in phi and they are equal to each other how is that possible these variables are different they can only be that can only be possible if both are equal to a constant yeah then it is possible then it does not depend on theta does not depend on phi either so we equate this to m square now y m square y not m y not k well once again the answer is you are not doing it for the first time somebody else has already done we know very well that the subsequent treatment becomes not only easy but also meaningful if you write m square here that is why we write m square and not anything else okay what do we have we have two equations now we can write sin theta divided by capital theta d d theta of sin theta d d theta plus beta sin square theta is equal to m square that is an equation that is entirely in theta and we can write 1 by capital phi d 2 capital phi d phi 2 is equal to minus m square that is an equation that is entirely in phi and not theta so we have achieved the separation of variable that we had set out to do okay now we are going to solve the phi part because very very simple we are not going to solve the theta part because it is very non trivial but then the solution was known already when this rigid rotor business came into discussion so we will discuss the solutions they are very important for now let us try to see whether it is possible to solve the phi part whether it is possible and it is very easy so 1 by capital phi d 2 d phi 2 is equal to minus m square this is what we have got so let us simplify a little bit we can write d 2 phi d phi 2 and now I have well written D instead of del d 2 capital phi d phi 2 is equal to minus m square capital phi okay what is the solution to this let us use the trial solution the trial solution we will use is phi equal to a e to the power plus minus i m phi now one might say that the most general solution is actually a 1 e to the power i m phi minus a 2 e to the power minus i m phi why are we not taking that solution why are we taking this we are taking this because well wave functions tell us a story wave functions has a meaning that meaning comes out very nicely if we take a part and not the whole and the part is as valid a solution of the differential equation than what the whole is so we will just work with this one at a time we will work with either plus or minus sign in the exponent so this is a trial solution please satisfy yourself that if you differentiate it twice you do get something like minus m square capital phi you get it differentiate once you get d phi d phi is equal to plus minus i m a e to the power plus minus i m phi differentiate once again you get d 2 capital phi d phi 2 is equal to plus minus i m was there multiplied by another plus minus i m a e to the power plus minus i m phi okay that is an eigenvalue equation the eigenvalue would be the value of whatever this d 2 capital phi d phi 2 might be the operator form okay so this is the equation that we are going to use to solve you know the trial solution already now see if you remember phi actually ranges from 0 to 2 pi okay that leads to a very important consequence if you remember born interpretation remember one of the things that we studied from born interpretation is that a wave function must always be continuous what does that mean okay let us say we start from some point okay in the x y plane we go a full circle and come back to the same point let us say this point is associated with a coordinate phi small phi if you go around then the coordinate that we reach is phi plus 2 pi but then it is the same point yeah so we should well single value not not continuity I made a mistake sorry at the same point the wave function must have the same value so from here what we can say is I do not know why we have been continuous same single value is the correct answer so capital phi at small phi plus 2 pi essentially is equal to capital phi at phi okay since this occurs with the period of 2 pi this is called periodic boundary condition see what we have got here is a boundary condition remember particle in a box we are encountered boundary conditions there in your harmonic oscillator also we talked about boundary condition here the boundary condition arises out of not really continuity but a single valuedness and it is called periodic boundary condition the value repeats after periods of 2 pi okay that is what is going to lead to quantization let us say now if capital phi at phi plus 2 pi is equal to capital phi at phi then we can write a multiplied by e to the power plus minus phi plus 2 pi is equal to a multiplied by e to the power plus minus i m phi right so what is the solution first solution one might think is e to the power plus minus i m phi multiplied by e to the power plus minus i m 2 pi is equal to e to the power plus minus i m phi e to the power i m phi e to the power i m phi cancel you are left with e to the power i m 2 pi is equal to 1 and it is not very difficult to figure out what will be from there but what we do is we use the trigonometric relationship we know that the exponential term is really equal to cos 2 pi m plus minus i multiplied by sin 2 pi m right so we write this to be equal to 1 so it turns out that cos 2 pi m is equal to 1 so this is going to be true not only for m equal to 0 but also m equal to plus minus 1 plus minus 2 plus minus 3 plus minus 4 and so on and so forth right so we have obtained this quantum number capital M which can go from 0 to infinity with increasing with integral increase integral steps of increase and now we are curious to know what is the story that this capital phi tells us what kind of information does capital phi contain and to say that we can use something that we know already something that is rather simple actually what is that see what is phi phi is essentially the angular displacement between the x coordinate and the projection of the position operator in the x y plane so suppose the projection starts from x axis and starts going round phi increases right so phi corresponds to circular motion in the x y plane from our knowledge of classical rotational dynamics we know that if you have circular motion like this then the angular momentum is like this angular momentum is normal to the plane of circular motion so here any change in phi since it is tantamount to rotational motion in the x y plane we can expect that the information that will be associated with this wave function capital phi should be the angular momentum in z direction what is angular momentum in z direction nobody has said that the rigid rotor is actually rotating in x y plane it can rotate you know whichever way possible right but what we are saying is that we talk about phi then we only consider the motion in x y plane part so the angular momentum associated with that would be normal to the x y plane or in other words it will be the angular momentum along z axis this is called L z or z component of the angular momentum so since phi is associated with circular motion in x y plane the information it might contain is the information about the z component of angular momentum right and we can convince ourselves that that is really the case by starting from the basic definition of angular momentum we will have to come back to this in the next module as well so L is given as r cross p so r is written as x i plus y j plus z k i j k essentially are the unit vectors along x y and z axis respectively p will we have written as p x i plus p x j plus p sorry p x i plus p y j j plus p z k okay now when we take a cross product then what happens something like this we can write it as a determinant i j k in the first row x y z as the second row and p x p y p z as the third row okay what is the consequence you get something like this i multiplied by y p z minus z p y j multiplied by z p x p z minus z p x well there is a minus sign before that k multiplied by x p y minus y p x remember p x p y p z these are operators in fact x y z are also operators so this quantity y p z minus z p y is essentially called the commutator between y p z y and sorry no mistake please delete that I got carried away there so x p y minus y p z okay that is not the commutator it is just two operators operating simultaneous well one after the other this is what we get now tell me what is the z component of angular momentum from this expression along z you have k vector so the z component of angular momentum will be x p y minus y p x that is your that is your l z so how do I construct l z operator it will be the same thing x operating x dot p y where without forgetting that these operators minus y hat dot p x hat this is l z similarly one can work out that p y is equal to h cross by i del del y p x is equal to h cross by i del del x very simple expressions you can even remember them but not required but you will see we never talk about p x and p y hardly ever talk about it you only talk about l square the square of angular momentum and we talk about the z component of angular momentum why please wait until the next next time we meet for the answer okay so this is l z now knowing that the operator for p y what it is we can work out this h cross by i x del del y minus y del del x this is the l z operator so after little bit of hard work we get l z equal to h cross by i del del phi very very simple straight forward relationship h cross by i del del phi that is l z not surprising because remember what is the operator for linear momentum is h cross by i del del x or del del y for del del z depending on whether the motion is along x or y or z axis similarly now motion is along phi axis you can think so l z hat is equal to h cross by i del del phi okay now the question that we want to ask is we are surmised that the phi dependent part of the wave function might contain information about l z so that is the case then it should be an eigen function of l z and it should yield some value of l z as its eigen value when the l z operator operates on it let us do that and l z operates on capital phi what do you get you get once again plus minus i m multiplied by a e to the power plus minus i m phi do not forget that there is this h cross by i as well so you multiply by that then you get h cross remains h cross and this i in the denominator cancels the i that was coming here from the differentiation m is left so you are left with l z operating on phi is analogous to well it gives you m h cross multiplied by phi so capital m h cross is the eigen value for your z component of angular momentum m is a quantum number what is the range of n m right now we have said from 0 to infinity later on we will see that some limit actually does come in so m h cross is indeed the z component of angular momentum what does it mean what does it mean that z component of angular momentum is quantized what does it mean by that what it means is that if you think of this rotation of the rigid rotor let us say rotates in this plane then the plane can have only certain given orientations why because the arrow can only point in certain directions let us take an example let us say m is equal to well let us say half m equal to half so what is the orientation that it will take half h cross into well half h cross well half h cross is going to be the eigen value that will be the z component from there you can work out what the angle will be so only certain angles are allowed and it takes us back to the familiar concept of space quantization that had arisen during Bohr-Sommerfeld theory of hydrogen atom so what we see here is that by using quantum mechanics we see that for a rigid rotor the angular momentum can only point in certain specific directions and that means that the plane of rotation can only take up certain specific directions space quantization so this is what we have well next part of the story I will just tell you that we said that the total wave function is theta dependent part minus multiplied by phi dependent part we have worked out the phi dependent part one thing that we have not worked out is a normalization constant that we will do during the assignments and the solution of the theta dependent part we are not going to do it believe me when I say that the solution is again some kind of a polynomial but a polynomial in cos theta it is not x square or y square or z square or even theta it is something in cos square theta and we show you specific values when we talk about hydrogen atom and again these polymers these polynomials are actually very special polynomials they are associated legendary polynomials which means that one can write a similar recursion relations among these polynomials as one could for the harmonic oscillator wave functions so the crux of the matter is that the wave function that is called spherical harmonics is given by a product of a phi dependent part and a theta dependent part there should be a normalization constant here the phi dependent part is a to the power plus minus i m phi and the theta dependent part it is enough if you remember that it is a polynomial in cos theta okay so finally well here we have put in the constant and this is what the wave function is we have the Hamiltonian we have the wave function the next step is to apply the Hamiltonian on the wave function extract energy


I got a question for you.   Y'all like, what's it called?  You all have tiny cocks. They love that. They were whilin'.  What's your question? I was gonna ask him size of that. Yeah, see? I think it does, and they know it does, but for some reason they want to hear it, man.  How bad, huh? I like it. Ooh. I know I didn't do what I was supposed to do. It's not long enough yet. Now, the back shimmies a little. I think we're gonna bleach it again. I think I'm trying to go into 2023 being your favorite Draco Malfoy. You know? On my Draco, but I don't know if that's gonna happen. I think I'm gonna do it though. But yeah, not bad. Sometimes, talk about like building confidence and stuff. Some of this little is like a routine to get ready, a routine for your haircut. I talk about with clothes obviously, like I think it clicked on my head, and I always knew it, but I never like said it this way. It's like the reason I love sneakers and clothes is because it made me feel a certain way. And having that momentum and confidence in yourself obviously can trickle in anything, but in basketball, lifting too for sure, but like no matter how much peps in your step, you ain't gonna pull a hundred pound PR. But in basketball, if you got some pep in your step, I've played with the most trash kids, and they're the most confidence, and they're just lights out. There's something there, you know? And so like, I think that's life too, like how you carry yourself, how you speak, chest up, kind of thing, shoulders back, really matters. And so, something as simple as a haircut for me is one of my big ones. Obviously, dressing a certain way makes me feel like that too. But find out what that is for you. Everyone talks about the self-care bullshit, and like the act of it isn't the self-care, right? It's how it affects you. A bath isn't self-care, but if you need to relax, maybe a bath is an option for you. So I look into your haircut room and see, man, it makes me feel good. Kept the beard, we call it the winter bulk beard. That last one feel. I think it's my mind and body don't connect with the speed that's happening.  Now I can't really tell. I don't know what that is. Maybe I can relay who I've been training for like, I'm going on 15 years of like heavy training. I've lifted weights since eighth grade, so even more than that. But like, since high school I've been getting after, I'm about to be 35, so that's about 15, I guess 20, but set you get the idea. And up until maybe four years ago, I could tell if I'm strong today, if it's moving fast, I could hit RPEs better in my head. Now, I don't know why, man, but like, feeling that, it felt like a seven or eight. And then looking at the cam, it's probably a six or seven. And I know that's not a huge difference, but it's something. And it does mess with my confidence a little bit. You know, when you feel strong, I remember taking 500 pounds back in the day and feeling like I could throw it through the roof. I would rip it up so fast. We just did a podcast with Pete Rubish who was known for being explosive and one of the best dead lifters in the raw game ever, let alone in that era.  If you don't know Pete Rubish, look him up. And he talked a lot about that.  I used to be like that too. And I'm still putting that kind of force and attention to this, but it just doesn't feel as satisfying. I don't drop it like, damn, I'm fast.  So it felt fine, but we got some big weights to pull. This weight is what I missed probably seven months ago, six months ago. I think it was June or July. I tried to take this and I missed below my knees. So there's always a little head game with that, no matter how advanced of a lifter you are or how experienced. And one of the true gifts I do have as an athlete, I think is my brain and being a gamer.  So, you know, being, what do they say?  You're not alone if you kind of think that and you play the mental game, but that's why I have a routine. That's why I turn on certain songs. It doesn't really matter what the song is. I just go over there and choose a song. But the process of choosing the song, hitting my camera, hitting my belt all in the same order, gets me prepared to execute the exact same way every time and that starts from the beginning. Does size matter? Well, in essence, that question gets asked all the time. I think like, for example, it's wintertime, you know, size matters in the wintertime, you know, cuddle buddy. You know, a lot of females are taking cuddle buddy applications. I'm open. I have a great resume. I'm an established entrepreneur. I have some fluff on me for warmth. I radiate heat. So, you know, if you're looking, I'm available. What do they apply? You can apply in the link below. There's going to be a Google Docs app below. You'll be able to click and fill out the application. I prefer long walks on the beach. I like to be fed snacks on the regular basis. And just a good time, you know? That's it. And I'd say pretty good.  And as the stronger you get, the less correlated they become. Someone like a Jamal Browner, you know, who deadlifts over a thousand pounds, might hit like 950 for an RPE8, but that doesn't mean he could do it for three or four reps necessarily.  Just because it moves at a certain speed or exertion, doesn't mean that it's automatically, Repson Reserve means that's your point goal. It's how many reps are in reserve. RPE is more of kind of a speed check. And for me, anything eight or below, probably means there was like no stall. I'm not the best at grinding, so this is lifter dependent. I'm more of an explosive lifter, but there was no real stall there. So which case, I'd probably sit around seven and a half, eight. Let me know what you guys think of the comments, but overall pretty good, man. I can't complain. So sleep was good this week. Food's back on track. I was cooking all my meals, which is a New Year's start for me, although today's New Year's Eve, I started after Christmas. But yeah, I'm gonna try to cook more meals, get more sleep, and see what we got next week, fam. Does size matter? Size matter, of course not. No, of course size matters. Of course. Like it doesn't even, it's not even a question. And if you say it doesn't, then you're lying or you're insecure. And if you have a small piece, you just gotta kind of own it. Like I own it, you know? Dan owns it. That's just like anything. That's like saying like, like it sounds bad, like does your income matter? No, it doesn't. I mean, to people, it does matter. Is that the average cock, I believe worldwide or in America, was like five inches. But that's all self-reported survey. We talked about that. It's a horrible survey. So who's gonna say they're four inches? Who's gonna say they're three and a half inches?   It was, yeah, there's no peer review or nothing, I don't think. Yeah, doc. Ten inches, doc. We might need to take some off, actually.  So I mean that in itself answers the question of size matters or not because if people are fabricating, which you know they are, let's just like, everybody knows that. So if you're fabricating, that means it does matter because it means something deep to you. That's like saying like, does height matter? Obviously height matters. I hate to say it. Like it just does. Why do you think this whole, the whole short kings, the whole this and that ball, it's all fucking, of course it matters. I've seen my boy get denied for being short. Gee, I got you. What's that? Like six girls at once. Does size matter? At the end of the day, I don't think it does, but here's a tip for y'all single men out there. When you meet the girl, you got to let her think that you got a small peepee. And then when you whip it out, she's going to be like, it's actually not that small. Undersell over delivered. Now for my perverted friends, talked about size mattering or not. The truth is, and we're realizing even more and more, whether you want to base it on evidence or just anecdotal, but size does matter. Size matters, ladies and gentlemen. That's the official theme of 2023. Size does matter. Yes, there are some anomalies. You're going to say, wow, and shout out to my boy JPG. He's calling this the new sleeper bro. Well, that guy doesn't have a lot of muscle, but he can deadlift 600. You know, he looks unassuming. He doesn't look very strong. And that's going to be the case with some people. Some people are going to just have certain muscle fiber types, leverages, and be able to fire all their muscles at once to be able to lift more weight and good skill within that lift. But the majority of us, and even them, even that person, that's the anomaly. We all know one, right? Ways 150 pounds, real skinny, no muscle anywhere, still deadlifts over 500 pounds. That person, if they build more muscle on their back, hands, glutes, they will deadlift more weight. To express that weight, yeah, we have to worry about programming, lifting fast and heavy, and overall intensity over time. But building that muscle with going back to the RIR stuff, closer to failure type sets on accessories, especially single joint movements where handling less load, so it won't be as fatiguing on the system if you're a strength athlete. Building more muscle, having more muscle over time, which is a very lengthy process, a lifelong process, some would say, will allow you to lift more weight overall. And that's why we do things even me, right? We're doing deadlifts, top set to build that strength, that coordination, that skill. Then we're doing some drop sets to build that volume, to build some muscle on the back end, right? Three by threes, three by fives. At a pretty high intensity, it doesn't have to be failure. It just has to be a pretty high intensity. And then even more, higher intensities. We're taking the low down, handling less range, but only like a one, you know, one or two joints with an RDL. Yeah, you're using your knees a little bit, but we're doing more of an accessory with RDLs, building muscle on the hands and glutes, finished off with some back and bice. Same thing, more muscle, more gains, more strength, size doesn't matter, ladies and gentlemen, people are something big in yourself. Just be that CEO. So Mike, we're out here. Happy New Year. And we'll catch you in the next one, man, Monday, Thursday. Later, y'all.