The following is a presentation of TFNN, the Tiger Technician Hour with your host, Basil Chapman. Call now. Call free at 1-877-927-6648. On the 8th of February, the day before leap year, we're looking at the Dow down 168 and 38,802. Now, it's been so, so difficult to get the usual criteria that I look for in some kind of a sell-off, because to get even a sell signal, let alone a sell mode, which is an upgrade of a sell signal, you would need to see the Dow down 380 to 420 in the futures early one morning and then an S&P down about 58 to 62, and then an attempt to rally, make an arch formation and close at the low of the day, then have some kind of overnight pullback trying to rally and the next day it opens up weak and it does it again, and it closes badly again. Down 380 in the Dow, you need almost 700 points in a couple of days in the Dow in the downside. We've seen that on the upside, but we need to see it on the downside and the same thing with the S&P. We're not seeing that. What I am seeing is just a sense of tiredness in some of the very big caps. I mean, a really good example now will be Microsoft trading at 405.58 down at $1.95, hit 420.82 just about two and a half weeks ago, and it's really struggling is making the potential for a dreaded H, being a spectacular winner. It's been a winner for the Dow, winner for the S&P, winner for the QQQ, winner for the XLK, and now it's just stalling. It's not failing. I mean, look at this weekly chart, and look at the monthly chart, Leg D, and yet it's just showing a certain sense of tiredness, and that tiredness can relate to slightly lower highs and slightly lower lows over a period of time, but we've only seen a little bit of that. I'm just using that as an example. Let's just go through this here. You've got the Dow in the inside track repellent zone. It's now gone. I just by accident hit this line. It's not automated. It's everything I do is fungible. We're looking at the Dow hitting, almost hitting the both the nine period exponential moving average. What am I talking about here? Oh, that's right, because in this one I've got it as pink. I have it black in my other chart. Pink nine period moving average and the green nine period moving average. Oh, let me just do it over here if you don't mind. Let's see. There we go. So that's crude oil. Look how nicely it is above the nine period moving average. Let me change the chart. I do you. So you see how it's pulling back, but do you see the nine period moving average still above the 14 period moving average? Do you see the chart? This is the inch a inch a day price. Just a thick gray line is already almost touching the 14 period moving average. It hasn't done that for a couple of days since it bounced sharply high with it gap up the other day. And now look, the nine period, sorry, this is the on balance volume, gave an exact reversal with a tiny little doji candle right there four sessions ago. And now we're looking to see whether or not there's some kind of follow through or as usual, we see some buying coming in to to really save the day. I think it's getting harder and harder to do that and you won't get that done unless you see the SMHs, which is semiconductors down 2.78 to 207.00. Well, just for a second round number, pulling back and it's still over the nine period moving average. The nine is over the 14. And this is this is strange. You see, this would always say that when you use a particular technique, you need to have a backup technique to be able to convince you that this particular indicator, which is usually very good, is not very good at this time. You see that perfect low on the fourth of January when the SMHs were down at 163.97. That exact ictus, that turnaround right there. Look at that beautiful turn to the upside. And then you would think that this would become some kind of an indicator, but look what's happened on balance volume has turned down sharply. And yet there's a big divergence because the price is moving higher. So I'm watching this very closely. Yes, we do have positions in the down, the SMHs on the negative side, just for trading positions, but I'm just watching this very closely. And as I said before, I'm not getting that huge sell. Why? Because this is the reason here. I've said it before and I'll have to say it again. Until we get bad news that the market takes as bad news and cheats it as a big negative. And that's the, I drew it here and I said there's a momentary pause for this dark news index and it's gone. And then we spiked above it. We've come back to test the actual trend line. But look at this, you've got, let me go through this because it's so important. We're wrapping up February. We need to be able to cover all these aspects that I consider to be important. Look, crude oil is rallying, but it's only a rallying. Oh, I always do that. Go to this chart, right? Yeah, there you go. Crude oil is rallying up 47 cents. It's not breaking out. It used the 200 period moving average in the weekly chart, very nicely in the 67 area, announced at 79. That's a pretty big move, but it's not really breaking out. In fact, it's already in leg C since the low was made if this was a leg B, I'd say, oh, that's just the start of move. So all I can say is let's see what happens at the close on Friday because you've got the nine period moving average, a flipping positive now, but this is a weekly chart. You have to wait for Friday at four. And the dating chart is still acting really well. I have to check this. Am I correct here? Moving average two lines. Oh, something happened last night. I knew there was something really weird. Oh, I'm going to have to do this over again. And I didn't want to, I was, I was praying. I was saying how fantastic it is that I've gone so long without my trade station platform shutting down and I'm losing, I lose all the data because it goes somewhere into the files. I just never get it back. I have to redo the charts, a whole bunch of charts. And you know, I'm doing thousands of charts over the year, notating them by hand. The daily weekly monthly 120-minute chart, whatever, even the one-minute charts, you know, one-minute chart of the E-mini, peak A, peak B, peak C, peak D, peak E, and leg F right now, right at the chart. I was going to say to the den and I thought, I'm just too busy right now. 5078 is the 200 period moving average. There could be resistance. We're going to be watching that. Anyway, let's get back to this. I knew there was something wrong. I'll try to fix it during the break. This is not right. I wondered why they so spread out. I'm looking at the wrong thing here. I am. This is the two. These are moving averages that are automated. It's not my moving averages.  I couldn't understand what was going on. Okay. So now I can say crude oil is moving up. Bonds are moving down. So the yields, if I go to the T and X, and that's really important because most of the rates are derived from the T and X, is in the upper range, made a peak D, doji candle is at 42.91. That's 4.291. But really, that's not, it's not breaking out to the upside. Doesn't this look like the crude oil weekly chart? I need this. If I'm really going to get a sell signal, I need to have some bad news that really says to the market to watch out. I'll be back down 149. Come back a little bit. If you're looking for potential trading setups in the stock market, then Rocket Equities and Options Report is a newsletter you should try. Tommy O'Brien delivers options and equity trades when the markets present them using a combination of fundamentals and technicals. Sign up for Rocket Equities and Options Report today with a 30-day money-back guarantee so you have nothing to risk. For all the details and to start your subscription today, visit the front page of TFNN.com. TFNN Educating Investors. After all, he's got 45 years experience as a day trader. Larry will also provide daily charts, videos, and data on the key markets that he's tracking. Expect notifications from Larry on market movement you need to act on at any time. First-time subscribers also get a 30-day money-back guarantee. If you're not satisfied, let us know and you'll get a full refund within 30 days of signing up. Subscribe to the Fibonacci 24-7 newsletter today. TFNN.com Educating Investors. The Dollar, Bonds, the South African Rand, as well as 25 different mining equities with specific buy-sell recommendations. The Gold Report. New subscribers get a 30-day money-back guarantee so you have nothing to risk. Subscribe to Tom O'Brien's Gold Report newsletter now at TFNN.com. We're looking for more than 20 traders for more than 20 years with live programming hosted by a variety of professional traders during market hours, the Tiger's Day. Available to all tigers and tigers for just $1 for the year. There's no cash or added costs when you join our community of traders. Sign up today and become a part of this educational community of traders. Just visit the front page of TFNN.com. Free at 1-877-927-6648. Hi, folks, we're back. Downs down 144. SAP is down 11. Really struggling to find momentum to the downside. So I'm not going to complain. I'm just going to say I'm watching this very, very closely. More importantly, overall, what I'm looking at here is the VIX index has not suddenly spiked sharply to the upside. I like to see the volatility index hang out low as the market pulls back. And only when there's really gone almost like a sell signal does the VIX actually wake up. I prefer that. Anyway, let's get back to our story. And I wanted to just check to see if there are any questions here. Yes, there is a question. Let me just do this right now. I want to go through everything very carefully. We've got time. There's nothing to rush about. You can see the Dow is only down 144. If it was down 325 and the SAP instead of being down 10 was down 32, I'd have to rush because that would be saying, hey, got to be careful. So the FXI, the Asia's China large cap has gone to an E. It looks like a peak E. It's pulling back. The 90 is still over the 14. The MACD is still strong. Stochastic is really good up in the 99% area. And when you've got to change things, it's frustrating. Let me just do that right now. Format the slow stochastic. I don't want the green is good. The red, I don't want to show. So what do I do again? Don't. Don't remember. I just want to get rid of it. Style. Oh, there it is. Okay. So let's get out of display. Front value. I believe that's correct. Let's just see what happens. We're out of there. Nope. Didn't do it right there. Right. It doesn't matter. So within that context, FXI has ready. That's the China large cap. It's pulling back some. The weekly chart still has a very ugly night. A pink nine period moving average below the 14 period. The MACD did cross positive. Stochastic is still way down 34%. On balance volume became a little bit overboard. So I'm watching this closely because if the FXI cannot go on a really bull strength to get. Don't tell me now. I've got a new thing. Oh, that's what I did. I really am on the ball today. So let's just do this. I'm looking at. Move chart interval chart style. No, I want. On the right, it should say axis skating. No axis. Axis skating on the right. I can't see where the price is now. All right. Don't worry about it. We'll get there in a moment. It should just say a little thing that says price on the right. This is a chart interval chart style. No, no, no. Count percent view data window. Remove axis scaling. I don't know what the axis is getting on the right, but let's see if I've got that here. Axis scaling. I'm going to put it on the right. Oh, now I've got it on the left as well. Oh, man. Who wants to waste time doing this? Unbelievable. What was I looking at? Axis scaling on the right. Not the left. Good grief. All right. I'll get back to it in a moment. Let's just get on. I wanted to show you something very important. So the XLK. XLK. So I've got price on the left, price on the right. XLK trading at 205.46. Made a peak D. It's got a gray A right here. If this pulls back into the 202 by Friday, if it's down below 202.50, 202.30, that's going to say, hey, be careful. Now we could start to see a pullback. If it's hanging out here with a 9B removing average, still good. That's a good sign. What is it? It's the S&P Select Tech Spider Fund. Let me just give this a click here. I'm really doing everything wrong today. Axis to the right. So why does it say... Oh, that's what it says. Okay. Sorry. The reason why you've got a silence there is I'm just desperately trying to get this. It irritates me to see it wrong. So I need to get this axis scanning on the left axis. Scan on the left. It says scan on the right. Why is it on the left? I don't know. All right. Enough with that. So I want you to go through the different things. Look, you've got NVIDIA. NVIDIA trading just down a little bit, down 12 with 774. Within the context of what we're looking at, it made... I'm calling this a peak F. I'm still calling it a peak F. The technicals are still pretty good. The casting is down under 80 or 75%. MACD's good registrants, not much weaker than it was at that big high at 83.94 on the 23rd of the month. And it's just pulling back a little bit. If you remember SMCI we were looking at, that is super micro company, semiconductors trading down 27 and 823. And I can't even... I've made them in grade because I should make them all in grade. I couldn't tell you. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14. About 14 or 15 round numbers. And today it opened at 120. All I can say is if I'm correct, and I will not know if I'm correct for a while, what we're looking at is that will become kind of a cloud at the top that it has to try to pierce as it pulls back. That's just my thinking. I don't know because I've never seen, to my recollection, I haven't seen this many in key stocks for years.  So many. I've seen a couple every once in a while. I always mention that. And you remember ARM made that all-time high of 164.00. And here it is at 131. And even this has had a whole bunch of round numbers. I don't see any for today, nothing for today yet. All right, so within that context, it's making a potential dreaded H pattern. They are drew in. That means it fails at a peak A or B. It comes down, takes out the left-side low. That's weighed down. The left-side low is at 115.49. It had a 117 round number. But it's 100, so I'll make me put it over here. So it's got a lot of way to go to really break down. And what I'm saying is that the way I'm looking at the market right now, there are signs that tell me that we are definitely overbought, but that's not a guarantee to say that it has to break down. And I'm looking at all the different signs, the different signals. We'll see where the down closes today. Who knows? Down could turn up, could close up. 100 points has done that before. So this is an important phase. We've kept all our long positions. We added just two short positions. And we'll see what happens. All right. Now the question came in. I want to deal with this right now. Coin. What was the example? I actually typed it out. I would not forget to read it. And it's a very good question because it's what I wanted for ages now. Can you assess coin tomorrow on your show? Tom Lee, an incredible forecast and only CNBC guest is with, listening to it. And I absolutely agree with him. That Tom Lee is fabulous. He's looking at a soaring over the next few years based on supply demand. Also, how's fundamental story behind MJ sorting out? Should we put expected of money into coin? Currencies, commodities and bond markets are as important as ever right now with how they're driving the volatility in equity markets across the globe, which is why it's a great time to try out Teddy Kegstad's Tiger Forex report. Teddy Kegstad breaks down the Forex markets every Monday using his 30-plus years of experience as a trading veteran of futures, Forex, stocks and options. Teddy releases his weekly Tiger Forex report every Monday morning with coverage of all the major currency pairs, including the Dollar Index, the Euro Dollar, Palm Dollar, Dollar Swiss, Dollar Yen, as well as many more. And he also has weekly coverage of the crude oil market and the 30-year T-bonds as they both influence Forex markets tremendously. 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Tune in live to Tiger TV and transform your trading journey because when you know better, you invest better. Join us and experience the difference today. TFNN Educating Investors Hello, so we were talking about the question came in. It's MJ, which is the Alternate Harvest ETF Cannabis Sector. That's the combined one, but the one that is US is SM... MSOS. MSOS or SMOS. There you go. SMOS. Oh, there's a little problem there. Let me just do this here. MSOS. There it is. Okay, MSOS, which is the Advisor Shares Pure US Cannabis Sector. So this one to me is probably a little, in some ways, a little bit better than the MJ, but actually, the MJ has been holding much better. So I don't know how to do it. And it's right there. The Chapman Insight Track Pro Palin Zone. We are long list, but so the question, they really took two completely different instruments. They're dealing with completely different things. So here you've got a longer term. If you have the patients, there's legislation. There's a whole bunch of stuff that has to go on for MJ. I do believe at some point it will all come right, but you need a lot of patients. So at this particular time, there's no comparison between the two because it's a time factor. Coin is already... Let's just get to the picture right here. Coin has already gone from under 120 to almost a double today to 212. And it's only in Leg C. So they two completely different animals. So Coinbase, and I'm just going to go GBTC right now, just to show you that this one, they all do kind of the same thing and they have slightly different patterns. This is already in the Leg E, huge extension. I mean, I can't believe when this was tutoring along under 12, I was saying to myself, you know, you had it once before 12 and it's screamed up to the 50s. Why aren't you... I didn't do it for subscribers. I apologize sometimes, you know. I missed the actual low turnaround and then I'll fuscate. But look at this. The 9-period moving average didn't break down. They big moved down into April into May. Then a continued hide went to the 200-period moving average, hung around. Coinbase did the same thing. Slightly different chart pan, but it broke above. The 200-period moving average now is like a sine wave, up and down and up and down. I could call this a brand new B in the weekly chart. Right now I'm calling it an F. I think it's becoming somewhat overboard. I think we're very close to a pullback. You remember I related the whole thing to gold. I can't relate to the MJ. The trading aspect is really what you're going to look at. That's why I went to Hood, which looks like Coinbase in a way, Robert Hood. Even today is holding very well after spectacular three, four days. So let's go back. So I'm treating it completely separately. If you're looking at longer term, the timing of MJ would be different altogether because this is, Coin is already in this huge breakout to the upside. I have to also show you Bitcoin. Look, Bitcoin, as I said, I think just on the on balance volume basis, it's getting very overboard. The MACD still hasn't even turned down yet. So that's a huge thing. The stochastic is flat at 96%. That's really good. Weekly charts are good. So the all-time high right here, that was November of 2021 of $73,790. I wouldn't be surprised if we get very close to it in this particular move. So I just got a ring. Someone rang the doorbell and we've got Brent in Martinez. Brent, how are you? I'm doing well, Basil. How are you? I'm well. Thank you. You'd like to look at. Yeah. Good to speak with you. And we're looking at the wisdom tree. If I can ever read these things. They're so great. You might have a long symbol because it should be B as in boy, G as in girl, S as in Sam, BGS. Is that BG Foods? Ah, BG Foods. Okay. Oh, I had this show up recently. There are a couple of food companies that have been showing up in my Screamer list, very, very low price, under $10. And it's so hard to get in because they are making low lows. And it's just the sudden event. Like yesterday, it's totally long at 9.50. Today, it is up 20% at 11.28. Now, you're going to tell me that you looked at it yesterday and you thought, this is interesting because you've got to turn around. I don't know if you use unbalanced volume, but you've got to turn around and it had the potential to move up. Therefore, you got some of it. Am I correct or am I wrong? I actually bought this way back, excuse me, in October. Oh. Just among some other stocks I caught the low. I bought, I mean, at $7.80. And so this is something that I've followed for a long time. I've been in it in the past and I had never really seen it get below around the 10-11 level. When I saw it break that and go down in the 7s, I went ahead and bought down at that low. And with the intention of holding it, actually longer term, it pays a decent dividend and just something that I think I caught the low. And honestly, I'd like to stay in this for the long term. So did you say you actually traded it or you held it all the way from October? No, I've held it. No, because I think I caught the bottom. So I'm planning on just staying in it, honestly. So I just have to go through this because it's what I always do when someone's held something that they thought would go higher but instead it went lower and lower and lower and lower. Where you get a move like this is trading at the high of the day, 11.33, and even yesterday you were just barely, well, not barely, you were actually quite nicely in the positive side, but you watched it go from the 11s down to the, well, down yesterday to the 8s. What was the exact date was 9.18 was the low. What's happening right now is what you wanted to see price wise, not chart wise, but price wise way back in October. So the thing I always say is if you suddenly see a price that you were hoping to get way back, but you actually had the patience to sit with it all the way down. And in fact, it was down, but it wasn't, I mean, it wasn't that bad, but you did sit with it on the way down. Then what I say is either you do one of two things, you either take something off immediately to say, shoot, thank you, thank you, thank you, trading gods, and you immediately raise the stop on what you've got left, or what you do is you, instead of a mental stop, you actually put in this time a physical stop, somewhere that you're really comfortable with, and then you just watch it rally. That's the way I do it because you've been through it for a long time. Now it's doing exactly what you wanted. So I think you need to do two things. One is reward yourself for being patient. And the other is to do exactly what we're going to do right now and say, what would be the upside potential for this particular stock? It once in a monthly chart went from about the 10 area all the way to the 46 area, and then failed, did a dreaded H, went even lower, and now is sorry to come back. I think it's worth looking at it and saying, what would be the potential? Is it earnings news today that's doing it? We don't know. Yeah, it came out yesterday. Okay, because I'd like to look at the weekly chart because that's giving us a tremendous amount of information because it just turned positive on the 914. The gold report. As a precious metal, gold is still king. It continues to hold the most effective safe haven and hedging properties across the global major trading hubs of the London OTC market, the US futures market, and the Shanghai Gold Exchange. The gold report. Tom O'Brien publishes his weekly gold report every Monday morning for subscribers, consisting of coverage of the XAU, HUI, GDX, the Dollar, Bonds, the South African Rand, as well as 25 different mining equities with specific buy-sell recommendations. The gold report. New subscribers get a 30-day money-back guarantee so you have nothing to risk. Subscribe to Tom O'Brien's gold report newsletter now at TFNN.com. To be your daily guide to profitable trades, Tom publishes his daily market insights newsletter every market day before the market open, along with updates when warranted. Stay ahead of the game with Tom's real-time analysis and trade recommendations delivered straight to your inbox.  Ready to join the ranks of successful traders? Head over to TFNN.com and subscribe to Market Insights today. Don't miss out on this opportunity to supercharge your trading results. Market Insights comes with a 30-day money-back guarantee for all new subscribers, so you have nothing to risk. Don't miss out on this opportunity to revolutionize your trading game. Head over to TFNN.com right now to join the thousands of traders who have already experienced the power of Tom O'Brien's award-winning newsletter Market Insights firsthand. TFNN, educating investors. Directions Daily S&P Biotech Three Times Bull and Bear ETFs Visit DirectionInvestments.com slash Biotech today. An investor should consider the investment objectives, risks, charges, and expenses of the direction shares carefully before investing. The prospectus and summary prospectus contain this and other information about direction shares. To obtain a prospectus or summary prospectus, please contact Direction Shares at<PHONE_NUMBER>. The prospectus or summary prospectus should be read carefully before investing. An investment in the funds is subject to risk, including the possible loss of principal. The funds are designed to be utilized only by sophisticated investors such as traders and active investors. Distributor, 4-Side Fund Services, LLC. This program is brought to you by Vista Gold, traded on the NYSE American and TSX under the symbol VGZ. We've got Brent from California on the line, and this is... I'm just thinking. I might have to use Sheriff Tommy's newsletter, Rocket Equities. I should make the show called The Target Technicians Hour Rocket Ship Show, because this is a rocket ship, and in the den, I've got someone, and we've got Joey Deeds, so looking at ACMR, look at this one, ACMR, trading at up 36% $8.29.87. Whoo-hoo-hoo! This is fantastic. In the den yesterday, we had BBAI, looking at big bear holdings, up another... today it's just a rocket ship going from 2 the other day to 364. So let's get back to your BGR, was it? BGR? No, BGS. Could I add a couple of things, Basil? Sure. If it's a tad higher, it's going to start a leg C in the weekly chart. All right, fire away. Well, I just wanted to go back a little bit. I did, at the time, I bought those shares also. You know how I do the options as well. Right. I bought the $8, the January 2024 call, so I made some good money on those. I sold out as it got up in the 10 area, and then I just, you know, the other thing I wanted to mention that I noticed and it should show up on your chart and it's on the weekly. I used the 50 EMA. It has not been above that. I've been able to get above that level for going back to 2022, early 2022, so that's in there. I'm going to be watching to see if it can't finally get above that. Good. So okay, a couple of things. You see this ugly candle from you probably remember it well. Back in September the 8th, it said one minute it said 1249, the next down to 1110 big red candle and then that just triggered even more selling and the selling was continuous from the high of the 4th of August at 1315 and what does it do? It goes all the way down to $7.20. So within that context what I'm looking at here you see if you're able to see my charts you'll see there's a W formation that's unfolding in the weekly chart in the 9th period 914 crossover and right now the week is young we've still got to go to Friday at 4 o'clock and that is that you want to see this close with the 9th period moving average flipping positive for the very first time since it broke down in May of 2023 when it was up in the 13th that'll be a really good sign I'm not going to even talk about the monthly other than to say the technicals are starting to improve in the monthly not the 914 but the MACD years the stochastic years and the onbounders volume so this and the fact that we are now an hour and a quarter into the session it opened at 1017 it's like it's almost like a squeeze a short squeeze as well as people having been buying from the low in the 7s for quite some time and that just says to me oh so wait a minute I looked at the wrong chart so you bought it in October so actually you were never ready you never really lost anything on that although it got very close to your level on this recent pullback right yeah like I said I'm in the 780 so I was never in a position yeah okay I understand that yeah okay good but my thinking always is that when someone calls in and I include myself when you've got something and I haven't done it for ages that you're in a position and it goes against you and you thought it was going up but instead it's going down unfortunately we hardly ever get calls anymore while people saying sure I add to the losing position because that is just if that wasn't your plan you never want to do that so that's excluded but I did want to say that this big spike and now we're within a penny of the high of the day this to me is absolutely fantastic action because it seems to me you're covering BGS you're covering oh you can see it now in the one minute chart it's walking moving average the 5 minute chart the 10 minute chart I think you've got new buyers here I think something's happened that is changing we'll have to give it another two full days before you can actually the start of next week is going to be important right now it looks more than just short covering because you aren't even getting pullbacks there's buying is coming in and I'm not sure there's so many people would be short that they're just covering and covering I think this is new buying so I like the fact that you're in it I like the fact that you've you've done your homework you've done it way before and it's acting just the way you wanted it to so this is the way I'd look at it on a weekly basis let me just go back to the daily chart right here see yep so the daily chart is now going above the previous highs this would become I should call it an extension but if I had to call this a leg A I would probably stay with it as an A and I'm suspecting that when it does pull back it's going to pull back to the 1068 1050 area and then it's going to make it inside rectangle with higher highs and higher lows trying to get to whatever the highs in the next two days kind of that's the way I'm looking at it so that's very positive I like what it is I like the fact that the whole way I'm looking at certain stocks that I must go through them again because I forgot for write down exactly what they did there were certain stocks in the oil and gas area the that exploration and there were certain stocks in foods that were in the Screamalus way down in the five six sevens even the eights and nines and they had really big moves so it's just telling me that this is in the right category right now it's kind of under the was under the radar it became a little bit more in the radar now I was talking about that candle right here this is the candle of the 8th of the week of the 8th of September so 1249 is the high 1110 is the low we've just gotten back into it so that's kind of where I would look at it I'd say that how it handles the 1220 to 1240 area that's a point higher I'm sure you'll love to hear this is going to be very important over the next two weeks and how it handles support in the 1060s I'd even go to 1040s I don't want to see it take out to days low under any circumstances in the next two weeks so I think you this is a very nice one and I hope people are listening and do their own homework because it looks to me like we might get a change of trend in the weekly chart where from the midpoint right here in October you're starting to see that there's like a rectangle forming with higher highs and higher lows going towards the doji candle high of the 1st of September of 13 1316 so yeah congratulations thank you Basil yeah there's a number of stocks I've found some just literally well within the last few days but going back a couple weeks that have hit low so there's always those opportunities there's one that you might want to look at just in the same area of the one that you just bought recently in your newsletter I went with a little different one it's a SQM it's a Chilean company but it does a lot of the same type of stuff what's the symbol Sam Q is in question M is in Mary okay good thank you very much I always love to hear from you everybody's nice to hear from you grand thank you for calling take care yes it was lifted on about 30 inches low take care Basil thank you are you ready to take charge of your financial future TFNN is your gateway to the world of trading and investing whether you're starting out or scaling up TFNN empowers traders and investors of all skill levels with top-notch investing systems strategies and techniques it's time to protect and grow your money with insight you can trust join us live Monday through Friday during market hours for exclusive content that moves with the markets at TFNN we bring the trading floor to you our seasoned hosts are here to answer your calls and questions live on the air check out the tiger's den for just $1 and follow us on 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device 24 hours per day go to TFNN.com then hit watch Tiger TV that's TFNN.com then hit watch Tiger TV I've always said just want to check something else okay so AMCR I believe it was AMCR I hope I got that right gosh no I wrote it down I had already just real quickly we'll get that right now AMCR ACMR ACMR I think I have to say almost the same thing that I said to Brett that this is ACMR she's one of those days I guess is trading up very sharply this is what I'm going to say take something off it's just it's your duty to do that to yourself because you got a gift you weren't expecting yesterday 22 that it would hit 30 and take something off I like the charts very much the weekly charts good the monthly charts good ACMR I can't even see what it is ACM research yeah it's that's what I would say and the other one was I will deal with those for those of you in the den that have asked me questions I'll just text in what I'm looking at Fidelity National acting really well pd so I'm going to hand you over to Steve Rhodes you have a great session check out


Okay, okay, let's continue. So, yeah, let's, let's, I'm going to keep this part of the proof. You can prove it, use, then use, use, you can do as an exercise use as a property, property of frames. And then you have to compute to compute prove and then you prove that the prove that it has twice the the class of this, what I'm calling this map up C. Well, I think that the class of the push forward or the class of the image of C. Sorry, but it's still this here. It's twice the, the, the minimal class on the plane of the other one, the class G, G minus two over G minus two factorial. Well, it's, this is a general construction. The genus is correct. P, not G minus one G minus the dimension of P. I think it's G minus two. Yeah, it's correct. By the generation, you can use the same, the same, the same method by the generation. Yeah, but I'm working in G will cease. Okay. Let's, let's, let's do this globally. So let's define M six, the diagonal. Coming back to G no six is, is the model space parameters parameterizing the pairs of a curve and one G four. We'll see is in M six. Okay, that's a model space. Now, you forget the G one four. This is in general, is what I made mistake of yesterday. In general, a curbs of general states will have only five or two one fours. And this is so do have degree five here. This is a finite, a finite map. Now, now by base change, you can extend to our six. So you have this R six goes to be six from two eighth. No, it's not big six. Sorry. This is also the forgetful map over M six. You forget the covering. You have M six, the diagonal. So you have an option to find it here. I call it R six. Okay. So that the diagonal construction keeps a correspondence. Okay, I have to tell you what the correspondence is. Of degree 10 10 to two over here. So what is this correspondence is a subspace in the in the in the Cartesian product of our six such that I don't know. I'm excited to give a name is a correspondence. They are pairs. See till the CF and their pairs. Ct prime F prime C prime F prime. In our six. This is elements in our in our six the diagonal, the diagonal, such that they are the diagonal relate. So I can go from one to the other by this procedure. And this does define a correspondence is the degree to two, because when I project project to one factor, the fiber has has degree two. Yes, for one, I have two others that they can construct in this way. And these two to because it's symmetric, you have two projections right that projection one projection two. And this projection is to do what. Okay. And at the level of m six. You have a have also a 1010 correspondence on a call it when I call it the diagonal in our six. And actually you for you.  And but this is 1010. And this is 1010 because because of the fact I told you about the lines in the cubic surface. Every line in a cubic surface smooth cubic surface intersect at $10. So this is the geometry. So I want to write the theorem to to the nagi. So the correspondence, the diagonal correspondence, the diagonal on the in the inverse image of a of a generic a billion a billion right of dimension five. This is is isomorphic to the incident correspondence of the 27 correspondence on the 27 lines on a non singular or smooth cubic surface. Mm hmm. That means that means the monodromy the monodromy of the map is given by monodromy group of our say our six in a five. So that means the galore group of the galore closure of this map. So essentially where do they leave the, the monodromy of this day, the on the fibers is is the vial group. The six, which is the seed, which corresponds to all the symmetries of the symmetry group of the 27 lines that preserves the incidence yeah symmetry group of the 27 lines. Mm hmm. This is very, very, very concrete and actually the different of the different law size. So we saw the monodromy group can be a little bit smaller. So for instance, that we saw it very clearly over the cubic three falls over the cubic three falls we saw this group. The monodromy group is w a six, but then the Jacobians, there's some the generation of that on the Jacobians. If I. Corvians. The group in the fibers is w d five. So this is the, the symmetry group of the. I should say symmetry group of the incident corresponds. Symmetry. Symmetry group of the 27 lines, but when one line is is is a mark line one is fixed. Mm hmm. Symmetry group of of lines in the cubic with one mark one. With, with, with other words is the stability, the stability of a line in the w six. So it's a subgroup of Ws. It's a little bit smaller. Okay. Okay. And there is another one that I didn't say at all but it's very, very relevant for all their purpose is the intermediate Jacobians of quartic double solids. Corvians. Of quartic double solids. And this is the monodromy group is covered by w a five, the viral group of a five, which is isomorphic to the symmetric group six. So I must say, this is also the symmetric group of 27 elements is inside. Yeah, because you are moving the lines on 27 so is a subgroup of the permutation group that preserves the incidents. And this is six. That corresponds to the group that the symmetric group of lines, lines on a nodal cubic surface. Okay. Okay, now from the oldest law size the only one which is actually a divisor is this one. This is dimension 14. That was 12, and this is the smallest one 10. Notice that by our, our discussion, the, the, the pre map fails to be injected a finite face to be finite over over the Jacobians. Yeah, we have a finite fiber so you have to blow up positive dimensional fibers and over over the other one. Mm hmm. So So it depends on the definition of branch local but where it fails to be fine that is the branch locals if you call it be be branch locals. Locals off of p six one can show that this is irreducible. It contains these two guys. Five, five, sorry, the locals of Jacobians, the cubic three folds and intermediate of those of total solids, they are all there, but this is irreducible and this component you have a component of dimension four that is also reducible. This, these are the same. And these two are the generation of this one. These two. They are the generations, the generation of intermediate. So I just want to finish that. That the branch locals of p six is also known, and it contains all these guys. Okay. So let me see. That finishes my discussion of p six. The original planning was to talk about the other other covering the father's case. And but instead of that. Okay, I can tell you two words about favors case. Fathers case so is triple secret coverings. So there is no reason that why one should restrict ourselves to to double coverings, you can consider triple secret one secret ones and let me let me define some some notation. Let's put our G D is going to be the mobile space of a double coverings of the green T that where C is in MG and is sickly. I also restrict myself to sickly for simplicity. In the non sickly case I have no consider just over two minutes to put this is it has completely different flavor for many reasons. Okay, so there is an interesting case, our case. Our study before three the premap that associated a triple secret covering over a genius for curve. And this goes to be six. I want to tell you know what it is. So you have some coverage. You take the kernel of the normal map, the connected component contain the zero did that defines a billion so bright of the Jacobian city. I call it also clean variety although it's not principally polarized as a polarization, but this polarization is of type. So let me see this is this is of dimension. This is genius for T tilde is 10. And this is dimension six this is why a dimension six. And the polarization is of type 111333. So it's not like no it's not principle. Dimension six. This is the type of polarization. Okay. Now, what, but you don't get all the all the polarize that type know the image of this premap has an extra an extra ingredient, namely the automorphism group. But since it's this guy a cyclic, they come with an automorphism of degree three. And then sigma is also an automorphism of the Jacobian, but, but also as an automorphism of the prem. This is an automorphism. So I did not be six by the set of all a billion varieties of dimension six with this polarization 111333 such that it exists. An automorphism. Precepts preserve the polarization. So when I take the pullback of the polarization, I get algebraic equivalent the same thing. Okay, is what they call the, or fabulously calls the basics. Okay, so just, let me tell you his result. His result is. Well, in this part, why this case, because in this case, both this space and the image have the same dimension as it's natural if you have the same dimension is natural to think of if it is generically finite or not. And if it's generally kind of what is this degree. And if, if you know the degree, it has some nice structures like the diagonal one. Well, it turns out that it. Yes, the answer is just to that. So, I see if you're in my father is that, okay, before three from our three to these basics is generically finite of degree 16. And, yeah, so both, both are of dimensions. Okay, let me see. It has the same dimension as the model space of course of genus four, because it's a finite coverage of them for. So this is nine. Yeah. Yes, dimension nine. Okay, both have dimension nine. And just to tell you briefly. So essentially father follows the steps of the nagging Smith. Sometimes is. And, and so he chooses is a very tricky choice. He chooses a special fiber where to compute the degree. He computes the degree. So the computation goes on the fiber over the following object. So take a generic curve genius tree. And then he defines P as the kernel. So you take the Jacobian. Three times. This is very tricky. Three times the same Jacobian, and you take the sum of the sum map, you can take one of that to some you get here here. This is a nomomorphism of groups. You can consider the kernel, the kernel is naturally a super idea of the triple product of the street, the Jacobian with themselves actually does is isomorphic as variety is isomorphic to the Jacobian twice. Yeah, it's the can. But not as not as. As polarize a million varieties. Yeah, so one has to be careful, because this has a principal polarization, but it's not a polarization that coming from from from the restrictions so that this has a principal polarization. And then you restrict the principal polarization, such that the good part is that the restricted polarization is of the of the required type polarization of the principal one on the product three is is of type 111333. Wonderful. And now, moreover, since you're taking the product of the three objects, you have the symmetric group acting on it. This is cool. You have S3 acting of this permutated and and this, this is restricted to the kernel so something that is in the kernel is permutated is still in the kernel so you have any particular you have an automorphism. An automorphism of order three to take any more than one actually take the cycles of a length three. So permutation, you have an automorphism on P, preserving this polarization of order three. Okay. So he goes to to the same steps that we did it. So, first, he extended to allowable coverings but now I tripled once. So the conditions are a little bit different. But you know the structure of the proof is the same. And what are the local covers in this case that extended to that is this appropriate map. And then you go to the study all the possible, the possible coverings over this, this particular Jacobian. And he found some sort of version of vertigo covers but with three. So elliptic tails that doesn't count. So it's very similar. And in the end the structure is this 16 has an structure as well. Okay. And also, that the structure of the fiber of the fiber is the 16, call it 1666, Kumar, Kumar structure. So as a structure of the 16 lines. So you have a Kumar, so what's the Kumar, so you have taken an abelian surface, basically polarized, you can make the quotient by, by minus so this has singularities on the two torsion points, but then you just the singularized that. Yes, this just to take the the singularization. So over, over these two double points, you get, you get the line, you get so you, you have 16 nodes, 16 nodes, and there were 16 nodes you have 16 lines here. 16 lines living in this desingularized Kumar surface, and this is 16 six, because the incidence of these lines in us, it can be described by Faber puts it very nicely to consider four lines that it is a grill of four horizontal and four vertical lines. So each, each node in the grill is a line. Yeah. That represents a line. Okay. And, and the incidence is given by this, for instance, this line intersects all the lines that the lips in the same column and the same role. So this one intersects all the six lines. These ones is this is this is this. And this is this little description gives you all the incidents of the 60 lines here. So it's also, it's also the petso, the petso of degree four, that's a surface. Okay. That's right. And the automorphism group. Of these lines. This the incidence or the symmetry group of the lines is symmetry group. In this case, of the 1660 structure is as four times as four semi direct product with said to I think this for one is reflected by this for four intersections so you can, you can permutate that one column and one role and the dosen't change the incidence. Okay. Yes. So I am now I want to finish with some open question is, is, is there any questions about this father case. Any, any, anything you want to know. Particular. Just one thing. Yes. upstairs you haven't written that the sigma to the third is identity so maybe. Yes, yes, yes. It has to be of degree three. Yes, this has to be here. Correct. Mm hmm. Thank you. Yes. Okay, now let me show you. Okay. So, when I look at this paper of father, actually, at the beginning of power, try to be a little bit more general. And say, okay, let's consider all the possible. Degrees and and. Yeah, genius and you can have more of these cases where this. You have a you can expect to have something generically fine. So the idea here is that you have to compute this be. Right, because when you consider maps of higher degree acyclic maps of high degree, and you have an automorphism. So the images is always something is a particular image of the billion, the model of a billion varieties because we have an automorphism in this automorphism will preserve the polarization. So you have to compute the dimension of the image to know when the image, the dimension of the image coincides with the dimension of the of the of the coverings. Yeah, so that's just one thing. Let's let's try to be a little bit more general. So, so you consider in general. And as I said, this is the general case that we consider have acyclic one. See, and, and then let's allow ramifications. So the degree of P is T. And let's call two are a ramified or not this is the degree of the of the ramification. So it's a pair. It's a pair number. And because it's acyclic, it will be always totally ramified all the ramifications are totally ramified. Yeah, if he is priming can be separate. Okay, but let's just give it like this. Okay, so what I was telling you, you can consider always BT, the subset of the subspace in the modular space of, I don't know, the ability of varieties of the right dimension with the right polarization delta. So the polarization and the dimension depends on the parameter depends on the degree, the ramification, etc. Okay, we want to see six. This is this this has a cyclic, cyclic automorphism of order D. It will preserve such that it says that is the image. So the morphism of P such that. So, as Pavel says has to be the identity has to be of order T. This is the polarization algebraic equivalent. Okay, so the question is, when is when have the same dimension is the dimension of, ah, now I'm going to introduce the notation. Yes, R, G, R, D. I see plus the dimension of BT. So these are the coverings D to one cyclic ramified degree of the ramification is to R. Okay. So, so long, long and I were looking at the paper of father, father studied only to concentrate himself to the case or without ramifications. And he found some cases found, found, of course, the Nagi case he's on case and he mentioned another one very small and but we thought he has a mistake. And then we wrote another paper about giving this list, and I can give you the answer. Have five minutes. Okay. And I wrote this table because I knew that I want to have time to write it out. So this is what we're. Yeah. So I want to, I want to explain you so put what we did in this course in a more large picture and share with you my, my big question of the of of this year. So, so we did this case today. This is my list. Lang and I will work out that the complete list where these two dimensions coincide. And in those cases, the map is generically fine. We know generically fine. Okay. On those cases, and this is generically fine and always, and we want to compute all the degrees. So the first was don't I just meet the 27, then we'll come forward with the 16. Lang and I will work out the case of sickly covenants of degrees seven of vaginous to core without ramification. And then there is a very nice paper from there is two papers that show the same thing in a very different ways. And then you can imagine that they are very different methods. And they studied and the case of, and you see, double covenants over a genus to curve. So ramification is twice this ramified on four points. Yes, four. And then they computed the degrees three. This is very nice. Actually, I got a random claim that they have a 3123 that I want construction with five points, which is still done. I think it must be true, but I still don't. I wanted to write it down properly. And you have the polarization types. Then there isn't, we didn't talk about the cases where it's generically injective. And then there's this case of my coach in an angle over a genus to elliptic curves, double covenants ramified over six points as to our degree of ramification. And then this is this case is missing 233. So triple C click covenants over a genus to curve from five in three points for the ramification. So essentially you see three, three, three, three to one. So this is C tilde ramified over three points. This is genus to genus seven and the blim has dimension five with this polarization type. I mix up something. Yes, this is not here. Anything. Yes. This one, this is one. Okay. And I wanted to know the degree of here. And we work with. Yes. You have three ones and two trees because the dimension is five. Yeah, too many ones right. Yeah, that's right. Thank you. So the number of here has to coincide with the dimension of me. I hope there is no other mistake. Okay, now what is the right here. So when I, the first time I wrote down this table, I didn't write it in this order. I didn't know, I didn't want to have an order particular order, but then some, some, some person with a good observation, namely, Roy Smith, from the magazine. He told me I look at the table and you notice these numbers here are precisely the number of lines and other pencil surface of this degree. Yes. And if you believe in the conspiracy theories, this number that you're looking for should be six. Because I have an answer, but I don't have a group. So, this is a conjecture. So the conjecture is that this number is six. Based in this observation, but this observation means nothing, because so far, these the pets of surfaces. Well, yeah, they are present in the construction but they are present. In a very mitigating ways in a small fiber all over the place, you don't know exactly. So, my question to you guys, I mean, is, I want to find some common denominator to all these constructions that should be based on this observation of the number of lines to the best of surface. This is something bigger than missing. So so far, our biggest weapon was this tetragonal construction, trigonal constructions that you move around, but we don't have anything else. And, yeah. I think, I think I can prove it to the degree six, but I still don't have a clear idea how is that related to the lines on the pencil surface of, of degree six. So this N. I'm sorry, should be the degree is nine minus N, right. I knew this is nine minus N. And this is the number of points that you blow up in six MP2. For instance, these three is to blow up six points.  The 16 you blow up a P two in five points and so I think so. Yes, that's correct. This is number of points will blow up. This is N to blow up. Now, for once I finish on time. And do you have any questions. Is it monotony proof in this locus, like the wire group of the associated liar to them. I have that in those cases. Yes, but in this case I don't know I of course, once you have this observation as well I understand again, I obtained it by computation of the degree, but I didn't have this structure. Yes. And I should be there also this question but I don't see it. Yes, it's also a question. It's I don't know. Only these two cases are the well understood in terms of the structure. Fabulous cases also where. Yeah, I said this 166 corner. Yes. I'm also wondering what about the degree one and degree two. Oh, that's also a question why are not in the list. I don't know. There are too many lines I think too many. I think it starts to be very big and also hundreds of them, I don't know. None hundreds but too many. I don't know. Maybe appears in other forms. I don't know. I have no precise answer. Maybe we have to find something which is not cyclic or, you know, or that's right. That's right. That's a good guess. Okay, this list, that list. We restrict ourselves to the cyclic. I have a question when you talk about the cyclic. Do you mean simple cyclic or arbitrary cyclic. So simple cyclic means to say if you wanted to degree n, you take a divisor which is a multiple of n. But if, for instance, if you take P1 to P1, which maps a z to z cubed, this is not simple cyclic because it's ramified over two points, which is not divisible by three, but it's still cyclic, of course. So in this example, is it always simple cyclic? Yeah, simple cyclic. Yes, yes. Yeah, I had also this question. What happened when the points on the branch coincides? Yes. No, what I meant is really that you can have, you know, something which is cyclic, but it's constructed in a more complicated way. In degree two, there is only one possibility. Yes. But as soon as the degree is higher, then, as I said, you have more complicated pictures that can arise. And this is because there is this general classification in the PhD thesis of Rita Pardini of Abelian covers, and these in particular include cyclic covers which are not built in this straightforward way. Okay, no. I just wanted to say that before you go all the way out to non-cyclic, that is an intermediate step. Okay, that is a good point. Thank you. So you mean non-cyclic cyclic, okay. No, no, I'm considering all the simpler parts. Yes, yes. No, no. Yeah, because, yeah, I don't know how will be the computation of the image in that case. The dimension of this PD is based on the, well, has to look at the, how do they, the period matrices of the polar essentials looks like. So you have to, we have to study that. This is a Shimura paper of the types of the period matrix and study the automorphism there and compute the dimensions. And if the, everything is simple, simple cyclic, but the one is not, I have, I don't know, I have to look what, how, yeah, how to check what other cases. So just a method that doesn't apply in the more general case. No, no, no, no, to check. But, yeah. Okay, this is a good suggestion. Can I ask another question? Yes, please. So fully pre-map, we can consider compactifications of this A5. Oh, yeah. Is there any way to extend the pre-map to a larger total space? So consider more singular. I guess you can. I haven't done it. And by simplicity, but I guess you allow all type of coverings of admissible, so admissible is in the sense of, I mean, without this condition of being compact, the kernel of the normal map. Yeah, you will, you end up in the, in the compactification.  I don't know what would be the most natural in this way. But I don't know any work on that. So the pre-map extended also farther than this now. No, I don't know. Okay. Okay. Yeah, I think you can get all sorts of things in the image. So yeah, maybe also, maybe also, yeah, of course, dominant in the lower cases. Lower genomes. Okay. Because I'm thinking, for example, cubic three, four cases, we can be considered like a nodal cubic. Yeah. We can still project a lot from a line in the, maybe nodal, maybe a nodal, just the. Yeah. Yeah, and you get a lower vocabulary in that case. Yes. Yes. Let me see if it is that tone. Yeah, it was already considered in the work of Don Aguismith. They did a lot of things there, but that maybe not. No. It's because they started with something very generic. Yeah. So generic already in this loci, but you can go in smaller loci and look at the fibers there. Yes. Okay. Thank you. Yeah. Okay. Well, so I want to finish the course with this. Yes. We can stop the recording now. Yeah. And


Hello everyone, welcome to the next AI video. In this one, ChatGPT has a rival, and that's right, it's going to be called, apparently, Apprentice Bard. Yeah, strange name. Apparently, Google is now in late-stage testing of a ChatGPT rival that uses Lambda, their conversational chatbot technology, and apparently it's a big deal. Now, this has been seen by people at CNBC. I have not seen this personally, so this could be complete nonsense, but this is my understanding, is apparently, the CNBC people were invited to look behind the curtain over there at Google HQ, and yeah, they've seen some pretty crazy stuff. Let's talk about it quickly. The Google Chatbot Apprentice Bard offers very similar prompt and response functionality to ChatGPT, but it could actually one up the open AI Chatbot, or ChatGPT, by offering responses about recent events. This is the critical component here, in my opinion. ChatGPT, as you may or may not be aware, is only trained up at the moment to the end of 2021, so anything that happened after that, eh, doesn't really know too much about it. Let's talk about the Apprentice Bard a little bit. Apparently, it's based on Mina, which was a chatbot they unveiled in 2020, and if memory serves me, it got into a little bit of trouble because it said and did some not so nice things, but apparently they've gone ahead and made some changes to it, and who knows what's coming. The last thing I'll note here is that Google is also testing a Google search page that would permit questions and responses the way ChatGPT can ask further questions and respond to refined prompts. So instead of getting search results, you can actually ask Google on their search page, and it might give you back some response. So who knows, I haven't seen it yet, nobody really has, except the CNBC guys and maybe someone at the New York Times. Yeah, last thing here, according to their design, it shows the search page will have up to five different prompts for potential questions that can be placed directly under the main search bar or will be placed part of me under the main search bar. Again, this needs to be seen, but they're going to possibly get rid of the I'm feeling lucky bar and put in a Google, whatever you want to call it, Apprentice Bard thing. So there you go. There's your news for the day. There's the rumors, guys. Let me know if you've seen it. If you tried it, be back soon.


Hi, I'm Zor. Welcome to Unisor Education. We have finished talking about mechanical oscillations. And it's a very interesting, actually, part of the course. Now we will continue talking about oscillations, but not quite mechanical. However, there is a very strong resemblance. So today we will talk about oscillations of electric current in the circuit. Well, we have already started something like this when we were talking about alternating current, if you remember. Basically, whenever you are rotating a wireframe in the magnetic field, for example, in a constant magnetic field, if you are rotating this wireframe, you will generate, because of magnetic induction, you will generate an alternating current, which is basically sinusoidally changed within this wireframe. Well, that's how motors actually are done. Now, in some way, using the terminology of the mechanical oscillations, we can say that these oscillations of electric current are induced, or using this terminology which we used in mechanical oscillation, it's forced oscillations. Today we will talk about oscillations which are basically resemble alternating current without external force. Again, the similarity with mechanical oscillations, if you have, let's say, an object in the spring, well, first you initially, let's say, displace it, you stretch the spring, and then you let it go, and if there is no resistance, then it will just indefinitely oscillate back and forth. Here, we will talk about something very similar in this lecture, but with electric current. Okay, this lecture is part of the course. Physics 14 is presented in unison.com. I suggest you to watch this lecture from the website, because it's part of the course. Basically, everything is logically related. All lectures are combined in some kind of a menu. Every lecture has very detailed notes, which basically, like your textbook, there are problem solving and exams on the web page. The web page is completely free. There are no advertising, just pure knowledge. Okay, and there is a prerequisite course called mass routines on the same website, and mass is a must. You have to know mass to study physics. Okay, so we are talking about some kind of forced, no, in this case, it's free oscillations of electric current. How can we basically obtain it? What is the electric equivalent of spring in mechanical oscillations? Okay, here is what I suggest as a circuit. First, let's make a circuit which contains inductor and capacitor. Now, no sources of electricity yet. Now, capacitor is not charged, right? So we have to really charge the capacitor to start something. So how can we arrange it? Very simply, we will do it this way. We will have another circuit here with battery and a switch here, and we will switch in this position. In this position, this part of the circuit is basically not involved, because there is no connection here. So this is the electric circuit which will have electric current generated by battery. So the battery, what will do the battery if you connect the capacitor? Well, the plus will go to plus, the minus will go to minus, and our capacitor is charged. That's it. Very, very fast charging. Nothing more happens. Nothing circulates. Just charge goes from plus of the battery to plus of the capacitor's plate, and the minus to the minus plate. When this is done, we switch this switch, switch the switch into this position. Now, the battery is gone. Nothing is happening on this side. And now we have this circuit. So this doesn't exist anymore, basically. So what happens? Well, we have a closed circuit, right? So plus and minus electrons from minus go to plus. Well, by definition, we are saying that electric current goes into opposite direction, unfortunately, but in any case, what happens, happens. There is electric current which goes. Okay, now let's just think about this way. First, your capacitor is charged at maximum. In theory, let's forget about this inductor, which is just a straight line, straight wire. Well, in theory, the plus and minus will start circulating electric current. Electrons will go from minus to plus. And that's it. The capacitor will discharge, basically, because the plates are connected. It's shorted, basically. So the charge will basically disappear. The deficiency of electrons on the plus and access of electrons on the minus will neutralize each other. And it will be the same number of neutral kind of, neutral number of electrons in both cases. Capacitor will discharge, and that's it. But inductor is a very important thing in this particular case. So let's just think about how the electric current will go if there is no inductor. Well, first electrons are at maximum difference between plus and minus, right? Maximum voltage. And obviously, the electric current will be at maximum. Then, as the number of electrons is changing, the flow of electrons will slow down. Now, let's just reasonably, very reasonably assume, and we will prove that this is the correct assumption. Let's reasonably assume that our current in this particular case will change as cosine of some angle. So a negative will be angular speed and t is time. And this is some kind of a maximum. At t is equal to zero, that's the maximum. And then the cosine of zero is one, right? And then as the t goes, this thing is diminishing. Well, because the difference of potential is diminishing, obviously. So it's a reasonable assumption. And again, I will prove that this is the correct assumption. But what happens in this case? Let's just think about it. What happens with the speed of change? Not the change itself, but the speed of change, which is the first derivative. Well, the first derivative is minus i zero times omega times sine of omega t. Now, that's very important. Cosine goes like this, right? From maximum to zero. The sine, minus sine in this case, is something like this. So this is i zero, and this is i zero times omega. So in the beginning, the speed of change, which is basically an angle of the tangential line, is zero. So in the very beginning, when our voltage is at maximum, the speed of change of the electric current is at minimum. And as soon as our voltage goes down, our speed of change is increasing by absolute value. So the current is slower, is changing slower in the beginning when this is at maximum. And then when we are approaching zero, the current goes to zero fast. So that's very important. So the speed is increasing as the voltage is, the speed is increasing as the voltage is decreasing. Okay? Okay. Let's just remember this, because it will be very important in the future. Now I made this assumption. So let's just make a little bit more theoretical research as far as we are concerned here. Assumption is assumption, but we have to really prove it. And here is what we can do. Let's assume that we have inductor has inductance l, capacitor has capacitance c. And I will go back to definition of these capacitors, capacitance and then inductance, because it will be very, very necessary for our calculations. So let's assume also that the voltage between these two is changing with time. So it's v and index c. The voltage between these two would be l of t. What's interesting right now is that their sum should be equal to zero, because there is no source of electricities. I mean if there was a source here, then the voltage between these would be some of the voltages there. Voltage drops, right? From, if you have a source here, it will be, the difference between these will be the sum of the drops of electricity, of voltage, of electrical voltage around the, around the whole circuit. If there is no source of electricity and the current is still running, so the sum is supposed to be equal to zero. So that's something which is basically known as Kirchhoff's law, but in this particular case doesn't really matter how it's called. What's important is if there is a circuit and there is no source of electricity, well if there is no current, obviously all the voltages on every piece will be equal to zero. But if there is some current and we know that there is a current because this thing is discharging, right? So the current goes. So at any given moment of time, the sum of the voltage drops between these two things which participate in the circuit must be equal to zero. Okay, that's good. Now let's talk about definition of capacitance and inductance, capacitance first. Now we know that from purely practical experimental facts, if you charge the capacitor with certain electric charge, well put some number of electrons on one of the plates, let's say, and reduce the number of electrons on another, for instance, using the battery. So this is the total amount of charge in coulombs, and this is the voltage observed between the plates. So experimentally it was basically established that there ratio is a constant thing which is a characteristic of the capacitor itself. And that's what it's called capacitance of the capacitor. So we increase the number of electrons by the factor of two, and that means the voltage will increase by the factor of two. Okay, remember this. From this we can actually have the vc of t is equal to q of t divided by c. Okay, now let's talk about inductance. So we know first that whenever you have electric current there is a magnetic field around it. Okay, we know that. Again, that's experimental, etc. Now we also know that if you have something like this inductor, the magnetic field which is basically produced by moving electrons, it has certain characteristic which is called magnetic field flux. Okay, so magnetic field flux. And again, it depends on the current. Okay, magnetic field flux is equal to l times i of t. So if this is the current, the magnetic flux will be proportional to the current. And l is this coefficient of proportionality. And again, it's a characteristic, physical characteristic of inductor. Depends on how many loops we have, what kind of a wire this is, etc. etc. But again, the stronger our current, the stronger the magnetic field flux we can observe. But now we have a very interesting thing. If magnetic field is changing, and there is a wire near it, the magnetic changing magnetic field generates the electricity. More precisely, again we were talking about before, it's called self induction basically. So whenever you have a changing current, it results in changing magnetic field flux. And changing magnetic field flux results in changing the voltage. So the voltage which is generated by moving electrons here is actually equal to the derivative of the flux by time. Now this thing was actually discussed in details in the electromagnetism part of this course. So I'm just doing it very briefly. And I refer you to those lectures which explain the details. But in any case, the electromotive force, which is basically the voltage between these two things, will be generated by changing flux. And why flux is changing? Well, because our electric current is changing. Our electric current will change because we are changing the amount of electricity accumulated in the capacitor. So everything is changing. And the change of one is producing change of another. Discharge of the capacitor causes the change of the current. Change of the current is causing the change of magnetic field. Change of magnetic field is causing the electromotive force generated by the inductor. Now what this electromotive force does actually. Again, we were talking about this in the electromagnetism part of this course. It supports actually the current. If current is going down, then the electromotive force will try to extend it and support it so it doesn't go down as fast. Or goes down, yes, goes down not very fast. And what happens after the initial current almost dies when it's really around zero, the speed of the change would be at maximum, as we were talking before. And the voltage would be correspondingly at maximum, because it depends on the speed of the change of the flow of the flux. So here we can actually say that this is equal to L and the derivative of T, right, using this. So what's interesting is we have expression for this and we have expression of this and we have an equation where we can connect them together. So let's just connect them together. The only thing is I would like to extend this thing a little bit, but not here right now. You see the problem is it's kind of difficult to deal with amount of electricity in coulombs. We would like everything to be related to the current. Now what is the current? Current is speed of the change, derivative speed of the change of the charge, right? So how can we bring everything to terms of IT? Well you see if I will differentiate this, I will have vc of T is equal to 1 over ci of T, right? If I differentiate this, this will be first derivative and the first derivative of charge would be my current. Now since we are talking about derivatives, let's have a derivative of this one and vL derivative would be L i of T to the derivatives, right? It was one and I take derivative again so it would be the second derivative. And now I will substitute it to here. Obviously I can differentiate this because I have everything in derivatives and now I have an equation. C is 1 over ci of T plus this derivative L i second derivative of T is equal to 0 or more traditionally fT plus 1 over LC i of T equals to 0. Great, we have an equation. Differential equation from which we can derive i of T, derive the current. Now I would like to refer you back to mechanical oscillations. Remember when the spring and an object and the object was freely oscillating, we had an equation. For free oscillations we had this equation. Again if you don't remember it go to mechanical oscillation topic of this part of the course. Now you see the resemblance? Just different coefficient. Now in this case our solution was where omega is square root of k over m. So again this was a general solution. C1 and C2 are just some constants which are defined by initial conditions, initial displacement of the object and initial speed whenever we are just or let it go after we stretch the spring or we push it in some direction with some speed. Okay, so C1 and C2 are constants defined by initial conditions. Omega is called angular speed, sometimes it's called angular frequency which is not exactly correct, but in any case that's what we have here. And this is exactly the same equation. So the solution of this equation would be i of T is equal to C1 cosine omega T plus C2 sine omega T, where omega is equal to square root of 1 over LC, where L is inductance and C is capacitance of our components. Well from this you can see that i is really sinusoidal. Now if you remember we can always change this into equals g cosine of omega T plus phi. Again very simple trigonometric trick will switch from this to this instead of constants C1 and C2 will have constants d and phi. But in any case this is a cosine in this particular case which means we have sinusoidal oscillations of electric current. And again if there is no resistance basically it will be indefinitely circulating back and forth, back and forth. So in this particular case whenever this charge goes from some maximum to zero the electric current will change from maximum to zero, but the speed of change would be the faster when this closes to zero. So whenever we are almost exhausted in the force of the capacitor which pushes the electrons in some direction our inductor because of self-inducting process will support this dying electric current and will continue it will prolong its existence and it will go even after this thing reaches zero and this thing will reach zero and it will actually charge in reverse. So these electrons first go this direction almost died when it's close to zero but the speed of this dying of electric current would be faster at the end and that means that the supporting force of the inductor will be the biggest the strongest and it will continue and it will charge the another plate with electrons. So the charge will reverse that's what basically this this thing means the charge will be reversed and and then the story will repeat again and again. So this why electrons will go this way and then this way whenever electrons are almost gone from here the continuation of the flow of electrons and it will be deficiency here and exist here it will be supported by the inductor. So inductor and capacitor are actually together are helping this oscillation first inductor sorry for first capacitor starts because there is a difference in electric potential it will force electrons to move but whenever this force is getting weaker the force of inductor which supports the move of the electrons will be stronger and then then the situation will be repeated again and again in opposite direction and that's what and that's what makes our electric current oscillating sinusoidally. I kind of simplified the whole thing I did not really take into account resistance that will be the subject of the next lecture but so far this is called LC circuit and next lecture we will talk about RLC circuits where resistance will be involved as well. Meanwhile I just want to mention that it's very interesting and it's almost like philosophical you see it's completely different arrangement here and mechanical oscillations but oscillations are oscillations and the oscillations are here and there are happening according to well relatively speaking the same formula which is kind of amazing I mean physically they're completely different however there are certain fundamental laws probably of the of the nature which actually brings the whole thing into sinusoidal oscillations in both cases. I think it's kind of amazing that we have exactly the same formula and by the way whenever we will have the resistance introduced if without resistance it resembles the free oscillations of the mechanical oscillations with the resistance it will be damped oscillations because resistance will consume certain amount of energy and these oscillations will be damping it will be less and less by amplitude but we will see it in the next lecture so again very very strong resemblance between oscillations of the electric circuit and oscillations mechanical ones. Okay that's it for today I suggested to read the notes for this lecture on Unisor.com so you go to physics 14 course the part is called waves and inside the waves it's electrical oscillations that's it thank you very much good luck


Public health efforts should increase their focus on childhood education through fun and interactive approaches early in life, leveraging digital technologies to deliver positive messages about vaccines and immunization education in school curricula to inoculate the next generation against vaccine hesitancy.


I joined the Air Force back in July 28, 1999. My dad gave me two options. Either go to college or join the military. The third option was get out of my house. So I joined the Air Force. Everything was going good, but I got into some trouble. I went to the BX and got in a little scuffle with somebody that was actually picking on me. As he hit me at the register, all I remember is mothers picking up their kids, running, everybody screaming. We ended up getting a fight right there in front of the register. I picked up my stuff and I ran out. So with that, I got Article 15 demoted from A1C down to an Airman, lost one stripe. To top it all off, they locked me up in this correctional custody for 30 days. They don't use this program no more, but it's really to see if you want to stay in the Air Force. And it was a tough experience. Seven bases didn't want me because of my Article 15. And once I got into the Guard, it was like a whole different world. But once I told a story about the correctional custody, they wonder, how did you even make it up to a Master Sergeant? Most people would just either keep messing up and get kicked out of the Air Force. What drives you to keep going? My number one answer is, I never want to disappoint family, you know, people that believed in me. And then it's my kids. When I look at my kids, how can I tell them that you can be whatever you want to be but your daddy's a quitter? I lead by example. So whenever I do, my kids are watching and they look up to me.  I went through what I went through. It actually made me stronger. So when I see young airmen acting out like, I have no problem talking to them. I have no problem telling them my experience because why would I have to, why go through all this and not help somebody else? Why hold it all in? Why not take young kids these days and talk to them, let them know, I don't care what you did. You can come talk to me because I've been there.


I'm from Birmingham, so in the UK. I'm from Rome and Italy. Paris? France? I'm from Columbus, Ohio, in the United States. Italy? I went to Madame Tussaud Museum, and I think that was as well the Royal Air Force Museum, you know, the planes from the Second World War. And I think that's it, yeah. The British Museum and the... Is it the British Gallery? I'm not sure. Is that what it's called? Alright, I've been there as well. But those are the only two. Well, the British Museum, and I visited the... also galleries or just museums, you mean? Like the White Cuban Bermany, it's because I live in Bermany, and they always make contemporary art exhibitions. There are a lot of museums, and they are all free, so it's different from the other places in Italy. In Italy, well, you have to pay for enter the museum. For everyone that is studying in France, anyone, for anyone, anyone under the age of 25 is free. So I think it's a very good system, and here as well I can see that it's improving here. People, the government is making tech. No, it's awesome. I mean, the museums that I've been to in the United States are borderline unreasonably expensive. And even my family's from France, so I've been to France quite a bit, and even the museums in Paris are still rather expensive. And I don't know, it's really nice to come here and to be able to have free access to the museums. It's very nice. Yeah, I think it's really good that they are free. I really appreciate that compared to, for instance, in Italy you always have to pay. It depends. There are some options where sometimes you can go for free, but usually you need to pay. However, if you want to stay there, since the museums are quite big in London, like Victoria and Albert, for instance, if you want to stay there to have some lunch, it's very expensive. So it's kind of balanced at the end, because at the end you won't stay in a museum for an hour. You will spend more time. So I think you will pay the ticket anyway, like if you want to kind of spend the day inside, or at least more than five hours. I think after five hours you'll get like angry or you want to have a coffee and say, I don't know, I'm not saying that, but it's also expensive. I think there's a huge number of museums of, I think, very well preserved, very well kept, and very accessible. So the only thing is they are scattered around, and they're a fair bit of walking, even if you catch the underground or the bus. So you can't cover them all in one, well, in many sessions, you need lots and lots of visits, trips to see a few. I think they're probably the best in the world, and they're free. No, I think, yeah, it's really well made. I think there is lots of decoration, and they're trying to improve. I think it's really good. Well, from what I've seen, it's been really nice. I was actually explaining to these guys that I think it's like on par with the Louvre in Paris, and that, of course, is like 15 euro a person, unless you're a European citizen. But with so many tourists, I'm sure they bring in a lot of money. The quality of the exhibits is about as good as it gets in terms of what I've experienced, and I'm kind of interested by that because I thought that maybe it wouldn't be as nice because it is free, and maybe a little bit less well maintained, but that doesn't appear to be the case, at least from what I've observed. I think London is the centre of art, contemporary art, and there are many galleries and institutions that promote art and art, so I think it's the right place to... It's the most updated, I would say, in terms of contemporary art, I think, and then for the more traditional museums, I would say that they're really... high-end, also under the digital terms. It's very like a lot of many digital exhibitions, like you can go on the website and see many... Everything is there.