The following is a presentation of TFNN. The Tiger Technician Hour with your host, Basil Chapman. Call now toll-free at 1-877-927-6648. Good morning, everyone. Basil Chapman on this Wednesday, the 22nd of March. Well, March is almost done. Anyway, here we are looking at the Dow down 12, the S&P down just a little bit. I think it was one. Yeah, down one. I'm going to talk about it in a moment. I'll come back. QQQ, up 11 cents, the 310.45, the IWM down 51 cents and 176 gold is up 5.5. For 1946, Silver is holding pretty well. You remember we talked about the juggling between the two. So Silver is up 16 cents at 22.59. High grade Copper had a very strong session yesterday and the day before. Today it's up again at 4.02 on the continuous contract, up 0.03. So this is a pattern that I like to look at. I'll just throw it in here. We'll come back to it maybe in a couple of days. You see this channel and what I do with channels is I like to go to the outside of the Wix, in other words the very end of each bar. And I use candlesticks mostly because the information that you garner from the actual design of the candlestick itself is really, I'm finding it more and more important. The other thing is it spreads the charts out if it's just the bar chart you can get really squashed. I'm only looking for troughs and peaks as one of the criteria in the trap wave count, the actual count itself. So I could miss that. This way it makes it much easier. And I love to, so in this particular instance, look, High Grade Copper went to the height of the 18th of January at 4.35. This is a continuous contract. I would have gone and kept the high that was made at 4.23 and that was on the 21st of February. But then the very next high was lower than that. So I kind of compromised and I went to, whoops, I went to the body of the candle, the wick and the body. So it comes down a little bit. And one of the reasons I did that is I wanted to see if I could draw a channel. The channel is where you get parallel lines. I haven't put the generally inside track of repellent zone or propellant zone here at all. I didn't need it. But what I am looking at is if I just draw a parallel, you can see that we match beautifully to the bottom. And that's all I need to see because it's given me parameters is making the contention that lower lows and lower highs is really a down mode and the upper higher highs and higher lows is an up mode. And that's all you want to think of right now. So it's in a sell mode. But in the moment, and you look at that on balance of volume, how much volume is coming on this rally? That's really quite important because does it get worn out if you don't get the comparable rally in the technicals? Well, sometimes this happens. So I'm going to draw that in here as well. So this is the weekly and you can see the weekly has got a very ragged cup and handle pattern. But one of my favorite patterns is when I see prices in this particular channel, this one is a little bit whippy, the weekly chart looks much better. So you can go a little bit longer and then don't be surprised if at some point you will suddenly spiral up out of that trend line and then that trend line becomes a support level. So it's resistance and it becomes a support level. Let's get back to our story here. We're looking at the dollar, DXY coming down from that peak D in the chapway, the fourth highest peak is where other things can happen. That's where you sometimes get your deepest decline. That's what we're seeing here in the dollar. Wait a minute.  You're trying to rally today. But in the weekly chart, you can see there's an arch formation, a very big pyramid to the upside and then down went into the chapway of inside track. The repellent zone came down with a measured move to a particular bar that I like to look at candle and it made a perfect left side, right side price, time, after score, bar symmetry. There was one student twice and then it had a good rally. So all I'm saying is that in the weekly chart, it's got an arch formation. It has to go into the 139, 140 area within another two weeks. Otherwise, this is kind of stuck and that corresponds with the dollar action. Wait a minute. If you look at the EUR, USD, you've got the exact opposite. You had this cup formation with a nice price symmetry, went to a peak E and a pullback, but the 9 is still way above the 14 and that says this internal strength in the euro. Euro made a new low in the daily under the 200 period moving average. This is now a brand new A. If this is an A and the stochastic is 77% starts to trade for about three, four days above 80%, I have to consider that this is going to go to peak A, B, C and D. But wait a minute. How will that relate to gold? Whoops. How will that relate to gold? Well, gold made that peak D that we were talking about earlier on. It's pulled back, but look at the technicals. The 9 is way above the 14 in the daily. The stochastic is 78%. I prefer 80% or higher, but the MACD is good. The weekly chart, the 9 is over the 14. The MACD is good. Stochastic is a little weak at 53%. And that's telling me that gold is not out of the woods. No, no, no. I should have said it the exact opposite way. And that tells me that gold is still in play.  How can I put it? The integrity of some of the banks is going to be tested unless over the coming weeks, there isn't a lot more clarification. We just had so far come out today to say under certain conditions, I don't know what the conditions are, we'll guarantee up to $2 million, $250,000 to $2 million. That's eight times more. This is a very different scenario. Are other banks going to be forced to do that? Are they able to do that? How can they do it? Is there some kind of insurance policy? How can you guarantee that under these terrible circumstances when there's a financial crisis, where do you get the money to be able to pay everyone and guarantee them their $2 million? Or does this take away from the Fed? Is this something they're going to be encouraged to do? Because it's going to force other banks through competition to go up $1 million, maybe $1.5 million, maybe $2 million to match. So this is a very complex situation. You can see by the weekly chart of the S&P Select Financial Spider Fund that this big arch formation in the weekly chart and the same thing in the monthly is not anything that you can just dismiss by showing your shoulders and saying, ah, we'll be okay. I think it's going to be complex and it's going to continue this ready choppy, choppy action and we're going to see the same thing that we've seen over the last couple of weeks and that is certain sectors outperform. And look at the semiconductors up today, up to $2.69 at $256.33. This is almost a breakout because it's in the weekly chart. You can see this is a year over a year. Yeah, it's almost a multi-year break to the upside, not quite a multi-year, but it's a break to the upside and certainly a yearly high. And that's a very, as far as I'm concerned with the semiconductors, that is pretty important. So good places to take up, get up to about the full escalation, that's low highs and that's low lows. I'll talk about all that. The Dow is down 25, S&P is down three. Holding pretty well, we'll be back. If you're looking for potential trading setups in the stock market, then Rocket Equities and Options Report is a newsletter you should try. Tom 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. 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TFNN has been educating traders for more than 20 years with live programming hosted by a variety of professional traders during market hours. The Tiger's Den, available to all tigers and tigers for just one dollar 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. Toll free at 1-877-927-6648. Internationally at<PHONE_NUMBER>. So a couple of things I want you to talk about is this is the first time and I can't even remember when the last time was. It has happened but not as consistent as I've just seen. I think it goes back to what year? May of 2022? Yeah, somewhere around May of 2022. I just had five consecutive sessions of the Richard Arms Tringage in the high-level area. Five consecutive, one, two, three, four, five. Wait a minute, what am I talking about? One, two, three, four, five. Okay, up until two days ago it was five consecutive sessions and didn't get that. Yesterday I thought I did but I didn't and this is going to be very interesting because every time there's been at least a little bit of a cluster like that what's happened is there's been a bit of a rally then a pullback and then a very sharp rally. But when the trend is like in May of last year down that doesn't mean very much. But I'm just watching because it tells you that the speed with which we got over bought in the volatility index, that's Richard Arms Volatility Index, I only use the numbers. The particular numbers I look at if it's over a certain level and out of all the technical indicators I have this is the only one I've never disclosed the numbers. Some people have figured it out. I don't disclose the numbers only because I think it's going to change at some point. I don't want to lock into this and then at some point it changes and people are still thinking it's the old one so I just say when it's high. It's the first time in a long time that the setting pressure was so high every day and look how we turned around to go to the upside afterwards that you had five consecutive sessions and that just tells me that in some ways you can see that the market is if it wasn't for this news with the Fed coming out today I'd be looking at this and saying oh I'm really impressed. I was happy because we're always along the Dow or short to Dow whatever it is but we trade the Dow. I was happy when the Dow was the leader for months and months and then things change but I'm actually happier now that the QQQ and the SMHs are leading because to me that's just up until today maybe changes tomorrow because that's telling me that there are buyers out there that are just ignoring any of the bad news and they're saying I see value because you would under these conditions most managers would look at certainly the beaten down tech stocks now just initially for them as a value as well as high beta but tech stocks so that the two don't necessarily go together high beta and value but sometimes they do and I think that that's what that must be otherwise why would you be so high at 161 back in August you're now at 256 almost 100 points higher that's that is really something so to smash this down you'd have to start seeing the the SMHs would have to crush under 230 under the 228 200 period moving average it can happen but so far I'm seeing buying and I like that question came in about oh so the falling accident let me just show you what this is so in my techniques my myriad techniques that I've developed over the years and maybe one or two kind of overlap but a lot of them are really original I'm not I'm not very good at copying people because I don't usually remember all the details of how I showed so I have to do it myself I've been like that all my life so this is a pattern that I look at so let me just click on this and I'll show you right here uh this is the upside down one I don't want that I want the regular there it is so there's a pattern I discovered years ago that sometimes after a big move up they usually had a peak D E or F it doesn't have to be that that's kind of where I start to see them you'll see the pattern that you're following start to make lower highs and much lower lows then all of a sudden it's find some support and in that support if there is a V or a cup shape formation forming isn't usually more like a V but I like to draw the cup to show that there's a certain motion we're looking at going to the upside if it takes out the declining trend line you can get a one to one to the upside and then all you do is once it breaks that you start looking to the left side to see what's the next peak on the left side that could be the next resistance to to tackle and that's how you go all the way to the top so a very simple technique it can also work upside down like this it's the same thing I just turned the slide upside down and we've seen that in the gold contract it's a couple of contracts they keep doing it all the time they make them it turns into a dreaded H pattern except the difference is they went as like this it invariably goes to a peak C a D or even an E and then it turns down and the higher up you go in that in an alphabet in the Chapman wave methodology on in this particular pattern the greater the chances are that you won't take out the low or if you do it'll be very brief but you've got to stop Gabby got something that says hey I'm going to hold you right there that's different to fading at a peak A or peak B look failed at a peak A dreaded H pattern went to a low low failed at a peak A went to a low low failed at a peak A failed at a peak A and it went to peak A B this time it's gone to a C and I have to tell you if I if it wasn't for the Fed if it wasn't for this whole if I can compartmentalize right now I'd be saying wow I love the action this is the way takeoff moves occur you see the v-shaped pattern in the in the on balance volume see the stochastic start to ready from under 20 to now 56 percent the magnetic crosses positive you haven't yet got the line period over the 14 today's probably the day that either it breaks down and deflects lower or it actually crosses higher um and you're about to tackle the inside track repellent zone in the falling x formation that's the cone for expanding cone declining expanding cone formation too many words um and that says that if by next week we are trading in the s&p somewhere around 434 438 wow that's good except if it's only in a peak it's in a leg D I'm always getting nervous about seeing a big move to the upside in a whatever symbol you're looking at underneath the previous high and it's already gotten to a D I like big strong moves so it says yeah it is great but a lot more work needs to be done however looking at looking at this 200-period moving average that's been the magnet it's been up and down and up and down it keeps coming back to the 4000 and five level and here we are at 4006 so there's a lot going on here's the falling x formation plus expanding this is the inside track propellent zone of the s&p look at that nice candle so far this week still green nine-period moving average I have to tell if it wasn't for the Fed I would have just gone gung-ho bullish well we all bullish the dow we long the dow aggressively long the dow and we'll see what happens all right so with that said I covered that PXD PXD isn't that that's an oil here we go our pioneer natural resources pulling back a little bit today down 250 at 192.84 so the very interesting thing here is if I had to do a one to one to the downside we've already expanded lower than that in the monthly chart as well as you can see here in the weekly chart but more importantly you see this candle here this doji candle from December of 2021 high as 188 low as 166 I'm forgetting this the digits that says to me that's going to be a really important support we've already gone to a low of 177.27 so in that context we'll repeat to the middle of the scandal now try I'll talk about it when we get back dow is actually up 10.84 I have to tell you something who would have thought that there's a Fed speak this afternoon but if you want to take advantage of this sector now is the time to subscribe to my gold report the gold report is a comprehensive look at the metal sector as well as the markets that move gold which is the currency and bond markets new 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and questions live from around the world from the moment the market opens until the closing bell sounds tiger tv has eight different shows with expert hosts to help you make the right moves with your money watch online at tfnn.com or on tfnn's youtube channel and become the investor you were born to be tfnn educating investors this segment is brought to you by think or swim for more information just click the think or swim banner on the front page of tfnn.com hey folks mouthful chapter together this is the tiger's den edition so i just wanted to show you this i used to have this noted this is chimbal i'm going to come back to pxd in a moment but just chimbal what i don't even know what chimbal does i see the sign all the time chimbal navigation living navigation well i don't know what that yeah i was going to look it up but then i thought okay look here's the chart what do i do i treat this as the filter right there right there and then what i do is i look at the left side i'm over here and i'm saying okay where would i consider this arch formation to come back to and what i do is i like to go to the cluster formation on the left so i would go i'd go up here but let's just say i've already seen is it broken that where's the next level i'd go right a grand canyon i go all the way to the to the left side i bump into that and i want to give it time so i'll make that it could be there but i'm saying i i want to go to where it really stops dead which is that bother you can use that but you'll find that if you can go to the the i call it the grand canyon cliff face right there that's much better then i do this i just this is my train station technology allows that and then i just do that but you don't have to have the rectangle or anything i'm lucky i got it it means i can change color green going up red going down or pink going down and now there's a beautiful arch formation have i even a clue that is going to touch that i have no clue but what i like to do is i go to the left side a particular candle i could go there and draw a straight draw my diagonal down like this this particular peak on the left side and and go to a line like that and look it's it's beautiful but i actually like to do it in i like to conform to what i think is the right side time value that i'm looking at here and that says probably and this is my eye this you couldn't and no computer is going to pick it out for you i do it by eye and i say okay i'm going to go all the way down here and what what did i do i'll just extend it now for this i'm going to extend it to the right i don't like those extensions because they stay there and in this particular case i don't want it to extend to the right okay so what do i do i then move to the right this is now my toes i do in my the futures that i'm trading that we're looking at all day and look what happens i have no idea if it's going to work oh and the other thing is because i wouldn't have had all the the price points i put in an x these days i've been trying to put the x in to say that's where that's that's my target all right could miss it doesn't matter it looks terribly embarrassing when you miss it and um but then when you look at it closely you say wait a minute only missed it by uh in a couple of bars and you're going back a year over a year so look at this so that says to me oh i didn't do this i meant to make it go down to the bottom i would have been down there i don't know why i did that should have been there okay this is where i'm looking at okay so my x would have been right there okay so hey that's not bad it went to the low was 49 99 school of 50 and the low that i was looking for was uh 47 19 or anywhere from yeah from 15 to 47 19 so this is i'd love to do that and then i would have drawn in the arch formation on the upside here i would have put it into there and look gives you a really good reading on what's going on all right i thought i'd do that so my my answer to the question on shimble is the the pink is underneath the 40 the pink nine is under the 14 that's a negative the price is trying to form a base but it keeps making a slightly lower low the mag D is weak the stochastic is very weak at 90 the on balance volume is actually not too bad so it says that this whole basing area is already important and if at any point it's at 50.06 right now if it was to slip under 47 close under 46 this is a weekly chart if it did that on a daily basis i would just say be really careful there's no strength here that has been able to garner sustained move to the outside in fact it keeps fading at a peak a look a peak a a peak a a peak a so just be really careful all right so that's shimble tr mb tr mb and next came oh you're short i'm short may 50 and 55 puts along the calls oh okay so all right so if you don't get 50 50 55 yeah i'm not sure how you're going to actually you see it's going to be stuck in a range for a little bit now so in a sense it depends on watch what month you are oh may you said may okay that's fine okay you've got until may so i i think you're going to be this is going to be a good trade for you the big resistance here is in the 51s 51 to 52 if it if it closes over 52 expect that it's going to go a little higher because the magnate did cross positive and stochastic is rallying um but most importantly that ricky chart says it's really struggling to hold rallies and that's all i can say to you that it's struggling and that if it does close under 47 and 46 becomes really important all right next question oh so pxd let's see uh triple provides technology solutions that enable professionals and field mobile workers to enhance or transform the transform their work processes worldwide wow i read that so often in so many companies it's a little it's uh well well a lot of people are doing but it hasn't been working too well for that so the question was could i show pxd i want to do just a little bit else yes yes oh so the tremble yes it did it did weather the storm and that's why i'm saying this particular move right now the magnate uh is just cross positive with that nine to go over the 14 would have to get it to 51 70 so i think in a way that it's acting okay but okay is not good enough because it's done that many times before and then failed this is the first time that you've got the magnate crossing positive since it went negative way back in february and it was up in almost 60 area so yeah this is a big difference okay uh where did it go could you show uh 10 10 oh i'm sorry i can't do it was it pxd right it was pxd pxd pxd yes there it is so almost the same pattern isn't it interesting look it fails at a peak a to b b minus at the 200 pre removing average then it goes to peak a and fails then it goes to peak a and fails yeah it's gone to peak a then gapped up and now it's in the leg b struggling so this is pioneer natural resources um so what i want you to do is to just open this up a little bit and show you it's the same story i would do this um i'd bump up against i don't even have to bump up i can just go to this particular channel right here so i would do this i'd go from here to this low even though it looks like wow you've got a lot of time i would do that yes i would do that no i'm i'm going to do it my usual way i like to bump into the left side low all the way there and then i would take this particular i'm very comfortable with this particular path right there that doji candle i move it to the right like this and there you are that's what i'd be looking at and that says by the week of the 21st of april uh there's a chance that it's going to test the break 166.97 whoa whoa whoa whoa i better do this again that's a lot that's many points from where we are right now i'll be back in a moment you might think that if you want to be successful at trading in the stock market you're going to need a crystal ball after all it's impossible to predict the future right like any endeavor in life before you decide it's impossible get some advice from the experts you might find that it's not so impossible after all for daily market overviews that give you direction on the key indices selective stocks and commodities subscribe to the opening call newsletter at tfnn.com the opening call newsletter is written by basal chapman creator of the trading methodology known as the chapman wave the chapman wave up down sequence gives you an edge in identifying price turns finding the peaks and valleys and stock prices get the opening call newsletter by basal chapman in your inbox every day 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 tfnn.com educating investors are you looking for a way to consistently add winning trades to your portfolio tom obrien is here to help tom obrien has been successfully trading markets for over 30 years a frequent contributor to td ameritrade network and cnbc tom obrien found a tfnn over 20 years ago to help educate investors just like you tom's daily market newsletter market insights is published every morning when the market's open to give you the competitive informational edge you need to succeed these newsletters are packed full of tom's advanced technical analysis and are geared to deliver comprehensive strategies for a successful portfolio get tom obrien's newsletter market insights today and try all of our products and newsletters 30 days risk free with our money back guarantee at tfnn.com tfnn educating investors iotech is booming but for how long whether you think the biotech bull has room to run or has run its course trade labu or labd directions daily s and p biotech times bull and bear etfs visit direction investments dot 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 principle the fund are designed to be utilized only by sophisticated investors such as traders and active investors distributor four side fund services llc this program is brought to you by vista gold traded on the nyse american and tsx under the symbol vgz a couple of things so phd i'm just going to put this x in right here um the stochastic is at 15 percent in the weekly charge remember over 80 percent i said that's what you want if you're bullish let it stay over 80 percent that's fantastic under 20 percent as long as it stays here that says oh you're going to be a little bit careful so it has held this beautiful support line at around about 178 and now it's popped up a little bit this week but i'm suspecting that it's going to be tough going and that's i'll repeat what i said before if it breaks at this particular point if it closes under 182 to 179 that's kind of support area on a weekly basis there's a good chance it's going to come down there so i've got this going all the way to um i don't know if i get to the 166 i'm just saying this is the way i've drawn it in i says by april the week of the 21st of april now i want you to show you something else so i didn't realize so shimble because i now remember there were a couple of stocks that i looked at and they were in this whole navigation thing and i can't remember i had a screamer as a low cap a low price stock that was also in the same thing that did look this does mobility solutions comprising route management safety and compliance end to end vehicle management video intelligence and supply chain communications so all of that sounds fantastic so i'm not sure why it's dropped like this but it's right in the sweet spot of what is needed especially if we start to see pave which is the etf for the infrastructure start to come back and it did gap up a lot of these stocks capped up and have held for two days now i don't know if they're going to hold there but i would put them all together that if if pave starts to move back up again this is the infrastructure there's a chance that shimble should be it should improve but i now remember it um but there was another stock that also had the same litany of things that they did within the organization of automotive agriculture all sorts of things like that so it sounds like a great area but it hasn't been working all right now a couple of things i want you to do had a question about um neo yesterday and i didn't get to it now i can't remember what they yes neo is running some this is neo chinese cars electric cars vehicles um wow that monthly chart is just horrible the weekly chart just had an art formation and this is a nice candle after a doji candle look i don't know if this is the place to be but on a very short term basis it's it's running it's up eight cents today nine thirty five if it's able to close above nine seventy on a weekly basis that's going to be the first time that is closed above the pink nine-period moving average for over a month and that's going to be important because 1022 would be the next level of resistance if at any stage it has one slide underneath 880 i would just say uh uh not ready for prime time at all so talking about prime time um i said i would do this where i wrote it down now oh can i look at the vix index yes i was going to do that but now i just got asked for it so the vix index went to 30.81 and it's now to 20.28 with the fed about to do something that we don't know it could be it could be almost nothing to the point of the market says we can continue rallying some every once in a while for those of you who have ever followed i remember i used to do this decades ago we i used to follow m one that's money supply then i followed m two and then i would then they never discussed m three which i think is really important hardly ever gets discussed that's the actual total money flow and um and it was a thursday and i remember the market would wait and then you know it would come out and then mark would do what it was going to do and so i all i can say is that the vix index is important but it is really responsive to things so in this particular instance is telling us and once again if it wasn't if the if the fed wasn't announcing anything today i'd look at this and say wow oh under the 200 billion moving average of 23.06 on the daily chart at 20.29 back at the lows look at the month look at the weekly chart got repelled to the chapter with inside track repellent zone now it's got the many times it's broken the support level so it's in an area here that says at 20.31 it would take at least a spike into the 25 to 26 area to see this market drop down 800 points s and p you know the equivalent of maybe 120 points or something like that i that's where it would take it would actually pre it would have to be sustained in fact so all i can say is if it wasn't for the fair talking today a lot of the action that i'm looking at has been very positive i kind of like what i'm seeing i i don't like the fact that we've missed my pennies some stocks that i wanted um that's more my problem but the fact that i'm actually missing them because things are moving so quickly that you like and you want to get um i like that aspect so what the fed does i'll talk about that when in the last little segment that we wrap up so at 20.34 it's saying it doesn't look like fund managers are afraid so this could come out of just from nowhere the Fed could say a quarter point but we're not afraid to go to 50 if if things continue because we've just had like what was it the home builders what is let me just see tall brothers let me just check that out uh tall brothers is holding but it's not breaking down the hgx which is the Philadelphia housing sector index um i'll be there in fact uh one day very soon um there's trading at uh well where did that come from what is that over there god i hit these buttons and they do all sorts of things holding very steady not breaking down but not breaking out so it's it's it's waiting for the Fed like us look there's the Philadelphia housing sector in the 9 s across positive yet but it didn't even get down to the 200 period moving average of 418 it's trading at 437 there are pockets of strength here and this rotational pockets of strength is is actually quite important so all i'm saying is that the VIX index at as we speak right now is saying oh um this afternoon the 245 if it's up in the 23s it's at 20.39 right now i don't know if we'll move that quickly in one day but i did that yesterday so it's up in the 23s and holding and it downs down 275 s and p's down i would say 48 to 53 off the three o'clock i go then then i'm saying oh okay but actually i'm wanting a dip right now i would love to see a slide in the market there are there are stocks in and and sectors that i would my subscribers to get into that very attractive looking so we'll see what happens here is this one of those things is beware for what you want right i don't know all i can say is that what is going on at this particular point right in this moment question about cx that's one of those that's always on our list this is cx cement company this is c max south africa s a s a because i'm from south africa i always think s a south africa is s a south america i guess the mexico southern part uh mexican cement company um yeah we're moving up today up uh 107 and 508 how did that get in there what do you stand all right i figure that so in the meantime back in the ranch uh we'll see what happens by the end of the day i i can only tell you i like what i see i might not like it at um 245 this afternoon but right now i like that us um yeah some cells were elevated medium 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everything in the universe is governed by the fibonacci sequence this mathematical principle is responsible for everything from the most aesthetically pleasing artwork to patterns in the stock market to stay on top of stock patterns you can take advantage of sign up for the fibonacci 24 7 newsletter at tfnn.com when you subscribe you'll get a weekly report from veteran day trader larry pesavento on stocks you need to pay attention to and you can trust larry's analysis 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 this segment is brought to you by think or swim for more information just click the think or swim banner on the front page of tfnn.com a long narrow rectangle formation and what happens it sometimes what most of the time it goes especially if it's at a top of a move it goes goes goes it's like it's a rotation a kind of selling distribution and then it goes below and then sometimes it goes back into the rectangle because it just hasn't seen goodbye to the friends because it came down so quickly so what we've done now is you've gone to a pd in the 10 minute e-mini chart all i can say is this within the context of what we're looking at this is a little nerve racking because it's kind of too benign the market's saying oh ho hum i don't like ho hum at all i i i i i have i've you know i i'm the right there waiting for for an accident to happen but at the same time it is impressive that some things have moved so let me make it as clear as i can if at any point that's a two o'clock announcing i think the market's going to move quite quickly i don't think it's going to just wait for the for the announcement and we don't know what it's going to say specifically but it could be quite complex actually if it becomes complex this is what we're looking at to have a once in a while i was going to say earlier on the the fed the market moves before the fed speak and actually continues in that same upward direction just once in a while but that this could be a change of trend and we're going to watch it closely so we're at 40 0.41 in the e-mini right now we're at 40 4008 in the cash s&p if at any point after the news is is made there is a sharp move up and that sharp move is able to hold all the way let's say the dowel is up 160 points let's just say it holds to a plus 40 all the way through two from two o'clock to two 45 that'll be good wow if it pulls back and the e-mini which is at 40 42 is suddenly down below 4 000 and holding i think that this market will take a breather but then we get to see whether or not there's a snapback within the day or two as the market assesses it that's kind of my thinking if there is a sharp move down but let's see what happens just be a little


Welcome to the seventh lecture in the course engineering electromagnetics. In the last lecture we considered the behavior of voltage and current on a general transmission line general in the sense that it incorporated losses. And we saw the effect of these losses on the various aspects related to the transmission line the formation of standing waves the input impedance etcetera. Today what we will consider is the use of transmission line sections as circuit elements. The first question that will come to mind perhaps is why or in what situation do we need to use transmission line sections as circuit elements. The reason for this is the following what happens is that conventional circuit elements do not perform as expected or do not behave as expected at high frequencies. The reasons for this misbehavior can be traced back to time delay and the high frequency effects. But what kind of misbehavior do we have in mind here we are quite familiar with an inductance or an element which is supposed to behave as an inductor showing a lot of resistance. In addition at high frequencies what may be quite significant is the inter turn capacitance in the windings that are made to obtain an inductor. Similarly an element which is expected to behave as a capacitor may have associated with it what is called a considerable amount of lead inductance. And of course wire bound resistor may have considerable inductance associated with it. Now it is not that these effects are completely absent at low frequencies. The problem is that the values of these elements that are required to be used at high frequencies are themselves quite small. And therefore these small effects become quite significant as a fraction of the actual element value that is required to be used. And then the frequency is high therefore the associated reactance with even small capacitance or inductance can have a considerable effect. And it is because of these reasons that the conventional forms of the circuit elements do not behave as expected at high frequencies. There are solutions to this problem one could use what are called thin film circuit elements. But what we talk here today is the use of transmission line sections as circuit elements which also is a very convenient way of solving some of these problems. And the problem is of considerable significance in the frequency range which is a few 100 megahertz. Hundreds of megahertz that is the kind of frequency range where this kind of problems come up. The basis for the use of transmission line sections as circuit elements is of course the input impedance seen at the terminals of a transmission line with some termination at the other end.  Under what conditions or under what situation is this the expression for the input impedance either lossless situation or low loss approximation. This is the input impedance at a distance l from the load impedance z l. Now let us consider the behavior of a short circuited transmission line. A short circuited transmission line would be one where z l is equal to 0. And therefore, z n is simply j z naught tan beta l. It is completely imaginary it is no real part and varies as the tan function varies. And therefore, in a straight forward manner one can make out that depending on the value of the argument beta l the overall input impedance could have an inductive behavior or could have a capacitive behavior. And therefore, appropriate lengths of sections of short circuited transmission lines could be utilized as inductors or capacitors. One can put it down more definitively here beta is 2 pi by lambda. And the behavior is inductive if beta l is less than or equal to pi by 2. Let us say less than pi by 2. Of course, this is the situation when the argument lies in the first quadrant. Similar behavior will be obtained when the argument lies in the third quadrant. For the sake of simplicity we are not listing all mathematically possible values of beta l. So, for beta l less than pi by 2 the behavior is inductive and the corresponding length is less than lambda by 4. Short circuited transmission line section with length which is less than lambda by 4 will show an input impedance behavior similar to that of an inductive. The actual inductance value that one will be realizing at the input will depend upon the length and the wavelength or the product beta l. And since tan function can have any value from 0 to infinity any inductance value can be realized. Similarly, the behavior will be capacitive if beta l lies between pi by 2 and pi or l lies between lambda by 4 and lambda by 2. There will be other ranges of beta l or l where again similar kind of behavior will be shown. Similarly, an open circuited transmission line can also be utilized for the same purpose. Here, z l is infinite and therefore, z n has an expression which is minus j z naught cot beta l which again has similar characteristics as the tan function and therefore, an open circuited section of a transmission line could also be utilized as an inductor or a capacitor. The ranges of the inductive behavior or capacitive behavior can be easily identified it is going to be inductive. If beta l lies in the second quadrant that is pi by 2 is less than beta l is less than pi or correspondingly l lies between lambda by 4 and lambda by 2. Similarly, it is going to be capacitive if beta l is less than pi by 2 or l is less than lambda by 4. And this way you see that we can use sections of transmission lines effectively either as inductors or capacitors. These are going to be low loss transmission lines therefore, associated resistance is going to be quite small and they will behave as expected as designed. They will not be corrupted by lead inductance or stray capacitance effects. If we consider a particular length of short circuited transmission line let us say a quarter wave short circuited transmission line lambda by 4 short circuited transmission line. Then based on this expression for the input impedance which is derived from the general expression for the input impedance pertaining to low loss approximation or loss less approximation. We see that for this situation where l is lambda by 4 and beta l is exactly pi by 2 and infinite reactance is indicated. But in practice things remain finite and if you want to find out the exact value of the input impedance then we need to go back to the exact expression for the input impedance incorporating the small amount of loss that is invariably present. Let us work it out. We have z i equal to z naught tan hyperbolic gamma l. This is the general expression for transmission lines. For the short circuited transmission line that is z l is 0 and this we write out as z naught then sin hyperbolic gamma l.   Now, substituting the condition that it is a quarter wave short circuited transmission line that is beta l is pi by 2. This simplifies considerably and we get z i as z naught times cos hyperbolic alpha l upon sin hyperbolic alpha l. One can simplify this further recognizing that alpha l is small in practice. We use low loss transmission lines for practical purposes and within that approximation using the small argument approximation for cos hyperbolic and for sin hyperbolic. This simplifies to z naught into 1 upon alpha l. What is the expression for alpha for low loss transmission lines? That was derived earlier the expression for alpha was half r by z naught plus g z naught and we said that in practice the second term is much smaller than the first term and therefore, this is simply r by 2 z naught. And therefore, the input impedance for the case we are considering is simply 2 z naught squared by r l which is the case not only for beta l equal to pi by 2. Now, we could generalize which is the case for beta l equal to all odd multiples of pi by 2 2 n plus 1 into pi by 2 or alternatively when l is an odd multiple of quarter wave lengths which is dot infinite. It is still high a high value because for a well constructed transmission line r will be quite small using good conductors. So, it is still a high value, but you see that it does not go to infinity in the practical case. Same behavior will be shown by half wave or lambda by 2 open circuited transmission line sections. Once again starting with the exact expression for the input impedance and then substituting z l equal to infinity in that expression. One will find that z i in this case is once again z naught into cot hyperbolic alpha l there is no approximation here which can be approximated to 2 z naught squared by r l an expression similar to that we have got for the short circuited quarter wave section. It is alpha l quite similar to this you will start with z naught cot hyperbolic gamma l and then proceed in this manner and substitute the condition that beta l is now an even multiple of pi by 2 and l is a multiple of lambda by 2 and then you will get this. If you have any other questions you please let me know. You could, but this will be a very high value and there are other alternative means of using circuit elements as registers. For example, thin film resistors which are quite convenient. Next we go on to a very special length of transmission line that is the quarter wave length and we will find that it has very interesting properties. We call it a quarter wave transformer what we will do is we will use the general expression for the input impedance z i is z naught times z l plus j z naught tan beta l upon z naught plus j z l tan beta l under the low loss approximation and now we say that we are using a quarter wave length of the transmission line or odd multiples of quarter wave length as we have seen. So, that beta l can be written as 2 n plus 1 into pi by 2 or l is an odd multiple of quarter wave length no. So, far we have considered the short circuited sections or open circuited sections. Now, we are not considering any particular restriction on z l, but we are considering that the length is restricted to an odd multiple of quarter wave length. So, this case has not been considered earlier. For this one can see easily that z i is going to be z naught squared upon z l there are two things that one can notice from this the way the input impedance seen at the end of a quarter wave section of a transmission line has come out what are these two things first is the input impedance z i is inversely proportional to z l there is an inverse relationship between z l and z i z i is inversely proportional to z l which is very interesting. If z l is 0 if it is a short circuit at the input end of the quarter wave section it will be seen as an open circuit and vice versa instead of taking these extreme values one could say that if z l is high z i will be low and if z l is low z i will be high. So, this reciprocal relationship between the input impedance and the load impedance holds good for a quarter wave transformer. Hence it is called a transformer it is transforms the load impedance in this manner that is one thing the second thing which makes a quarter wave section of a transmission line quite useful is the following let us make the following consideration. Let us say that we have got a transmission line with characteristic impedance z 1 which for some reason for some practical application needs to be connected to a different transmission line let us say like this with z naught equal to z 2 different in the sense that it is characteristic impedance is different. In practice it could be a load impedance which is different from the characteristic impedance of this transmission line or it could be simply another transmission line with a different characteristic impedance. The application that we are going to illustrate is not affected by this. Now let us say that it is connected through a transmission line in this manner let this section be of length lambda by 4 at the design frequency and we pose the question that can we choose a value of the characteristic impedance of this intermediate section. So, that the input impedance seen here at this point z i it is equal to z 1 that is by interposing such a section between a transmission line of characteristic impedance z 1 and a transmission line of characteristic impedance z 2 can be match this transmission line essentially that is what it would be if the input impedance seen here is equal to the characteristic impedance of the first transmission line. Now since we have said that this is a quarter wave section it will have the properties of the quarter wave section that we have just put down and we will have z 1 equal to or z i which is required to be equal to z 1 for matching it should be equal to z naught squared by z 2 and therefore, if z naught is chosen such that it is equal to the geometric mean of the impedances on either side then this quarter wave section will have matched this item to this item of a quarter wave section.  This thing can be seen easily on the overhead predictor where we consider the application of the part wave section of a transmission line to match a lone impedance Z n to a transmission line with characteristic impedance Z 1. And as we have said if we select the characteristic impedance of this part wave section as the duet treat of Z l n Z 1, the transmission line will be matched at the design frequency. Or the base point is indicated here as beta l equal to pi by 2 for l equal to lambda. What we have shown here is the application of a part wave section of a transmission line to match a load impedance Z l to a transmission line of characteristic impedance Z 1. And as we stated earlier if we select the characteristic impedance of this part wave section as the duet treat of these two impedances then the line will be matched at the design frequency. Now here we are showing a plot of the reflected coefficient that one sees at this point as a function of beta l. Beta l can be considered to be the electrical length of this section beta is 2 pi by lambda. And therefore, theta is the electrical length of this section at the design frequency or the design wave length the electrical length is exactly pi by 2. And at this point the load is perfectly matched the reflection coefficient is if as we change the operating frequency for example, if we increase it then the electrical length is going to increase. If we reduce the frequency the electrical length is going to reduce. In particular when the electrical length is brought down to 0 meaning thereby that this part wave section is absent. Then we have a reflection coefficient which is just as if Z l is directly connected to Z 1. And the same thing obtains at when the electrical length is pi and therefore, this is a periodic variation of the reflection coefficient that one is going to see. Therefore, we see that water wave transformer used for matching purposes is going to have a restrictive bandwidth the bandwidth will depend upon the maximum reflection coefficient that one is going to be able to follow. This rho m value depends upon the applications typical values that are acceptable would be 0.1 for 0.2. Depending on that there will be a certain bandwidth certain frequency range within which the reflection coefficient will be below this maximum permissible value beyond which the reflection coefficient is going to exceed this permissible value. And therefore, we say that that is the bandwidth of the wave transformer. The question is whether how we relate this to bandwidth what we are saying is that at the design frequency or at the design frequency the match is perfect. As we deviate from this on either side either because the physical length is different from lambda by 4 or the operating frequency is changing the reflection coefficient is going to increase rather steeply. Up to a certain point where the reflection coefficient is below the maximum permissible value you could still operate this and consider that the load is matched to the transmission line. And therefore, you get this upper frequency limit and lower frequency limit. And the separation between these two becomes the bandwidth over which this quadrupole section will keep this load more or less matched within the specified limits of the reflection coefficient. Normally this bandwidth is quite small it is just a few percent bandwidth few percent of the center frequency. There are ways and means available for improving us. For example, one could use multiple section water wave transporters, but we are not going to going into that here. Excuse me sir. Yes. Is this variation sinusoidal? Electrified sinusoidal. Electrified sinusoidal. Electrified sinusoidal. I think so yes sinusoidal rectified sinusoidal. One can calculate the reflection coefficient instead of using as a fixed electrical length beta equal to pi by 2. Keep this general and then estimate the reflection coefficient. So, we will get you find out the input impedance general expression for the input impedance here and calculate the reflection coefficient. That is how this curve has been plotted. Excuse me sir. Yes please. This is the junction we have in mind. Why should it be there? Because the input impedance that is seen by this section at the design frequency is equal to z 1. One can go into the details of this alright and see how the reflection at this junction is cancelled by the reflection at this junction. Overall effect is that at this junction there is no net reflection. So, the x axis it is the length of the extended portion. After that z 1 junction that length is for you. Yes the electrical length that we are plotting here is the electrical length of the quiet wave section alright. So, I suppose we can now go on to the next topic and that relates to the velocity of propagation. This is a natural question what is the velocity of wave propagation on a transmission line. One term that we have been using is the phase velocity designated as v p and we have said that it is equal to omega by beta. How we identified this expression omega by beta as the velocity was as follows. For example, for sinusoidally time varying signals we have e to the power j omega t minus beta z which is manipulated to read as e to the power minus j beta and then z minus omega by beta which when compared with a function of argument z minus v t tanges as that v is equal to omega by beta. But a better interpretation of this velocity is obtained if we consider omega t minus beta z alright and say that alright we want to stay on a constant phase point omega t minus beta z represents the phase of the wave as a function of z and as a function of tang. Let us say that we want to stay on a constant phase point then with what velocity an observer or v will have to track that one can find out by finding out the derivative of this with respect to time that is p by d t of omega t minus beta z equal to 0 and one can see that the d z by d t that we get is equal to omega by beta and since it is like that from the consideration of staying on a constant phase point we call this the phase velocity stop here today and we will make further considerations in the next lecture.


Closet organization. Let's talk about it. Welcome back to my channel guys. It's your girl Cocoa Styles and on this channel we talk about beauty, fashion, lifestyle, and styling. Today I wanted to talk about a few closet tips to keep your closet organized. For me, I think it's necessary for us as fashion girlies to keep our things organized. Otherwise we're going to have a hard time one getting ready for work or just getting dressed just for the day to day life. My goal today is to give you 10 tips that will help you organize your closet. The first thing would be matching hangers. It sounds very, you know, like, ah, just hangers. But to be quite honest with everyone really moving towards the whole aesthetic thing, having hangers that do not match is going to drive you insane. So it's a very small thing. They're not expensive. Amazon has a ton of them. I'll see if I can find some and link them for you and go for a color that you can find often. And I would recommend definitely going for the velvet hangers.   With that you want to make sure you organize your clothes by type and then color. So I have a ton of blazers here and I like to put my blazers in one section and then I start to color coordinate them in that area. That way if I want to wear a blazer today or a certain color, I'm like, okay, I want to read blazer. Let me just go to my blazer section. So if you do have the space for that, I would definitely recommend doing that. It's something that would definitely help you get in dress every day. Organizing your clothes by type and then color is the second thing. The third thing would be having your closet tools.   Jewelry organizers. Okay, back in the day, we used to just hang out with things on like little hangers and like being creative, but they have a ton of jewelry organizers now that are needed. If you do not have a wardrobe like an IKEA packs or something built in, they still have things that you can actually put your jewelry in and when you open it up, you can definitely hang like necklaces. Having your jewelry in a designated place is going to help you stay organized. For the girlies who do have a ton of necklaces, you definitely need to organize your necklaces, otherwise they're going to get tangled and who wants that? So your goal for you is to buy something where you can have your necklaces spread out or to where they're not tangling with each other. So definitely a jewelry organizer is another thing that you should keep in your closet to have it organized. Let's get into sunglasses. Sunglasses also, you want to organize your sunglasses or you want to put them in a place where you are able to see them. Here's the thing. People are buying expensive sunglasses left and right, but then there are a lot of girls who buy sunglasses from Amazon and they're a lot cheaper and you can get a lot more. So now you have all these sunglasses in this drawer. Now let's organize our sunglasses, put them in a place where we can see them, put the really nice ones up front, the ones that you wear often in the front and then kind of go from there, but having a drawer or designated place for your sunglasses is another good way to be organized in your closet. Valley rods. Here's why I love valley rods. I have the IKEA PAX system and they have like some sort of valley rod, but it doesn't come out. So I went to Amazon and I found one, just drilled it in and now I have a valley rod. The reason why I like valley rods is because you can set the clothes up front that you are going to be wearing for that week or even that day and that way you can see the items. Also, I like to utilize my valley rod to add new end pieces. That way I know that I need to style them for a video. They're very cheap, but they're very, they're very much so needed guys. So definitely get you a valley rod to organize your outfit of the days, anything that you're doing for like any content, things that you need to shoot, all that good stuff. So definitely check out the valley rod. Let's get into pants. Pants and jeans. You want to be able to have your pants in an area where they're not being messed up by a hanger or anything like that. So IKEA has a pullout that is for your pants. The newest one doesn't hold as many as the original one did. However, you can still slide a couple of pants on each one, maybe even three. And then you don't have to worry about your pants having like that awkward hanger print by the knees. So get something to organize your pants and your jeans and then you're golden. A rolling rack. All right, rolling racks are needed. They have really large ones and then they have small ones. IKEA has two. One, do they both have wheels? I think they both maybe have wheels, but there's one that does not have shelves on it. And then there's one that does. They're very affordable.  I personally have two in my home, one in this closet and one in my master closet. And I still have stuff on. But it's a good idea to just have them because you could actually roll them around in your room if you needed to. You can lift them up and drag them anywhere you would like.  You don't have to get one that is going to stay there. If you don't want to, you can get ones that you can take apart and just slide them out the way, but definitely get you a rolling rack. It's going to help with your new items. It's more space than a valet rod. So it is going to help with your new items and you preparing maybe to create content or something for a video. So definitely get you a rolling rack. All right. Full length mirrors. Let me tell y'all something. We as women know we need a full length mirror. A lot of us don't have them. Ikea is your best friend. They have two mirrors that are huge. They actually have three, but this one is this other one is like a circle. They have the Hubbitt mirror and then they have actually I think there's three. The Hubbitt, I forget the name of the other one. There's two more, but the Hubbitt is the main one because it has a really thin frame, but it's like a 78 inch height mirror. They went up on price a little bit, but it's not to the point where you can't like kind of save for it. But get you a full length mirror. It is a necessity. Okay. For your closet. The last thing I would say is an ottoman with storage. A little stool in your closet is really needed. And the reason why I'm saying get something with storage because it's a good way to organize anything that you want to keep out of sight. For example, if you have a ton of like lenses that you keep in your closet because you do content, you can put them in there. It's away from the sun. It's away from dust and it'll be a good place to add stuff. Also in this ottoman, you can definitely start adding in like maybe like your flat sandals if you don't have space for it, bunch of slides. It's just a good way to organize and hide things that you want to keep out of sight. If you have a full closet with like maybe a chair or a little small sofa and you lay down, you can put your throws in there. But it's a good way to have a little bit of storage in places that people will not necessarily think is for storage. I'm going to say one last thing on how to stay organized is put your stuff back, ladies.  Put it back. Put it back. Put it in an area where, you know, stuff ready for the dry cleaners or for the laundry. But put the items away.  Otherwise, you're not going to want to clean all that stuff up when you're dressed. Being organized again does help with getting dressed and it actually helps you kind of discover what you need in your closet and what you do not need.  So those are 10 tips that I would recommend you guys incorporating to organize your closet. If you like videos like this, please comment below. And if you stay to the end of this video, please comment. Coco, we see you and guys don't forget to follow me on Instagram at CocoStylesNYC and CocoStylesNY and my personal style blog, CocoStylesNYC.com and my style services, CocoStylesNY and I'm on Tickety Tickety Talk, CocoStylesNYC, TikTok guys, I can't. And I will catch you guys in the next one. Bye guys.


So, one of the ways that Aristotle is going to argue at this point, argue that happiness is what's worth having in your life, you know, he's trying to make clear that, okay, there's lots of goods, right? There's things out there at which actions aim, that's just what means to be a good. So in a sense, you know, anything that somebody pursues is a good, sort of. But now there's a difference between an instrumental good and an independent good, okay? An instrumental good is a good that's good for something else, okay? That's good for something else. And an independent good is a good in and of itself. It's not, you know, good for something else, it's not pursued for the sake of something else, it's pursued for the sake of itself, yeah. So here I am, I'm out here. You know, I've got on my hat, this is a good, I went after it, I've got on my shirt, this is a good, I went after it, I've got on some pretty decent hiking boots, it's a good, I went after it. But these are all instrumental goods. I didn't pursue them simply for the sake of something else. You could almost think of an instrumental good as something that's like a tool, right? It's a tool for something else. And all three of these things, the hat, the shirt, the shoes, the boots, are all goods for, you know, hiking, right? They are goods pointed towards hiking, yeah, okay. Now hiking is itself still an instrumental good. It's good pursued for the sake of something else. Now I enjoy hiking, I like hiking, but hiking is used for something else. It's used to make these videos. Camping is used to make these videos. I also enjoy hiking, I also enjoy camping, you know, kind of as what they are, but they're nevertheless still good for something else, right? They're good for my emotional and mental well-being. They're good for relaxation. They're good for health, right? Hiking, walk around, raises the heartbeat, gives me out in the sun, right? And, you know, health is also, you know, all these things point towards health, right? Now, health is good, right? Aristotle isn't done that, health is good, but even health isn't the chief good. This independent good above everything else. So for Aristotle, when you start tracing these goods on up, the whole reason why you pursue them, what they're good for is happiness. This mental, emotional, physical, proper well-being of the self, you know, everything's working well, right? That's happiness. He says, you know, everything that you're doing, eventually at some point, right, is going to reach happiness. That's the chief good, the chief good.


Hello and welcome to the session. Let us understand the following question today. Find the sum of the odd numbers between 0 and 50. Now let us write the solution. Odd numbers from 0 to 50 are 1357911 and so on till 49. So there will be 25 odd numbers between 0 and 50. Thus AP is 13579 so on till 49. Here a is equal to 1, d is equal to 3 minus 1 which is equal to 2 and n is equal to 25. Now let us find the sum. Sn is equal to n by 2 multiplied by 2a plus n minus 1d and we have to find s25. Now substituting the value of a, d and n we get 25 by 2 multiplied by 2 into 1 plus 25 minus 1 multiplied by 2 which is equal to 25 by 2 multiplied by 2 plus 24 into 2 which is equal to 25 by 2 multiplied by 2 plus 48 which is equal to 25 by 2 multiplied by 50. Now 50 get cancels by 2 and we get 25 which is equal to 25 into 25 which is equal to 625. Hence the required sum is 625. I hope you understood the question. Bye and have a nice day.


And government have kidnapped six workers of a ceramic company located at Itobi in Kogi state. The police public relations officer of the state, William Iyer, told newsmen in Lokoja that the workers were kidnapped two days ago. He also said a search is on for the kidnappers.