So, now we talk about a few properties first I am going to make a claim every field is an integral domain how do we prove this what is the only property see both of them start with the structure of a commutative ring right. The thing is the field is a commutative division ring, but the integral domain is not a commutative division ring instead it has some nice property what is that that product of non zeros can never be 0. So, we have to see that if it is a division if it is a commutative division ring then that automatically implies that extra property which we embedded in the integral domain. So, suppose something is a field then obviously every element other than 0 has an inverse. So, here is a sketch of the proof I mean all these proofs mostly we will sketch. So, suppose a into b is equal to 0 if a is not equal to 0 then what can we say there exists a inverse right clear on this there exists a inverse such that a inverse a is equal to 1. So, let us hit this with a inverse from the left on both sides. So, we get a inverse a and we can put these brackets because of associativity times b is equal to a inverse times 0 ok. We have not still shown that you know there is no point in seeking and added a multiplicative inverse to the 0 element. Let us do a rough sketch of that proof as a sub part of this because we will have to now use the fact that this is going to be 0 seems funny right you multiply something by 0 you take it for granted it is 0 requires a proof as it turns out. So, how do we start that? So, let us take 0 times alpha say alpha belongs to some field ok. So, f stands for some field by the way you can also write f with the operations, but when the operation is clear from the context we just write the set itself. So, f is in this case our set along with some conventional operations that meet the criteria for a field. So, we will just write f every single time we want append it with those two binary operations and then put it in a bracket as a three tuple. So, this look I am just going to use only the properties that my algebra allows me to do. What I am going to write is this is 0 plus 0 and what property am I using here? The existence of the additive identity. So, 0 is equal to 0 plus 0 quite simply because 0 is it is everybody's additive identity. It is a unique additive identity for every element. So, it is also its own additive identity yeah. So, therefore, this is 0. Now, this implies that 0 into alpha is equal to. So, this I am going to now change what am I going to do? Distributivity right. So, this is 0 times alpha plus 0 times alpha. Now, because I know that there must exist an additive inverse to every element and because it is closed under multiplicative a multiplication. So, all of these elements also belong to the field. So, therefore, these are elements of the field and therefore, each of them must have an additive inverse. So, let me just put that additive inverse on both sides yeah minus 0 times alpha. So, this is basically the symbol for the additive inverse. Let us you know just write it in that manner plus 0 alpha is equal to plus and then I am again going to use associativity on this side. So, now an element added with its additive inverse gives me 0 back again. So, therefore, this is 0 this is also by the same token 0, 0 plus 0. But this is again because of additive identity please fill out the properties in between I have not written at which step which property I have used. I leave that to you to fill it out at every step what properties from that set of properties that I have written down a while back am I using at every step please note that right. So, this means that 0 acting on any alpha in the field will always result in 0. So, therefore, there is no point in seeking the additive the multiplicative inverse of 0 you see because no matter what 0 gets to act on it turns it to 0. So, that is why it makes sense to look for only multiplicative inverses of non-zero elements. So, therefore, harnessing that property here what can we say this is also 0 and this is 1. So, this is 1 times b is equal to 0 implying b must be equal to 0 proof is not complete it is a mere exercise now to assume as a second step that b is not equal to 0. And therefore, b inverse must exist and hit it with b inverse on the right on both sides and again proceed accordingly and conclude that a must be equal to 0. So, that is what is going to lead you to the completion of the proof. So, either a is equal to 0 or b is equal to 0 of course, it both as 0 then it is trivial to show that it is 0 yeah you could yeah. So, of course, that is that is the way I mean, but what I am meaning to say is that at this stage it is not yet complete you have to write a couple of lines more somehow justify that every time you start with something that is in a field yeah that field must also satisfy the properties of an integral domain. Unfortunately not every integral domain happens to be a field right that is definitely there. For example, you take the set of integers yeah there multiplicative inverses are not integers themselves except for 1 and minus 1 right. So, there still is some hope though it is not a complete lost cause because the second one says and this is where things start getting interesting every finite integral domain is a field that is interesting when you talk about the set of integers it is an infinite integral domain maybe that is the defect does that mean every for infinite integral domain is not a field of course, not there are infinite fields and by definition fields are integral domains. So, of course, infinite fields are also infinite integral domains. So, it is not necessarily true that infinite integral domains cannot be fields, but some infinite integral domains probably are not fields because of this assertion which says that if it is a finite integral domain then it must be a field. So, again what do we start with? We only start with what we know of integral domains to be true every other property is kind of overlapping except for the fact that in integral domain you have product of two non-zeros must be non-zero. So, in case of the finite what is so special that tells us that every element must have a multiplicative inverse unless it is 0 ok. So, let us try and see a again a quick sketch of a proof consider s is equal to say a 1, a 2 dot dot dot till a n because it is a finite field you see with some addition and multiplication to be an integral domain ok. So, it is a finite integral domain now the claim is that this must be a field which means that any object that you pick out from these n fellows here must necessarily have a multiplicative inverse that is essentially what this claim boils down to ok. So, further choose any alpha belonging to s and consider s till day to be the following set alpha a 1, alpha a 2, alpha a n. So, new set s till day alpha could be any of these a 1s through a n I am not saying which one it is, but it can only have finite number of possibilities because there are only n distinct elements in that set s. So, you take any one of those n distinct elements and call it let us say alpha and then you cook up a new set which is just the products according to the usual multiplication rules that are defined in this particular integral domain ok. Look at alpha a i minus alpha a j for i not equal to j ok. What I am going to claim is that this cannot be 0 ok. Let us see alpha. So, suppose alpha a i minus alpha a j is equal to 0 which implies that alpha a i minus a j is equal to 0 and I immediately I am saying have a contradiction. What is that contradiction? Let me just make one small little change here because I am not interested in the multiplicative inverse of 0. So, I am going to pick out this alpha to be a non-zero. So, if alpha is non-zero and this product is 0 and it is an integral domain what do I immediately have? That a i must be equal to a j. Why is that a contradiction? Because these are distinct elements, but if these are distinct elements then what have I just proved that the elements of s till day that I have enlisted here must also be distinct yeah. So, fill out that why is it a contradiction? I have said in words it is up to you to fill that out. So, this is a contradiction. So, therefore, this cannot be 0 is the assertion if this cannot be 0 then this means elements of s till day are distinct. How many elements are there in s till day and elements? How many elements are there in integral domain? So, there is the by the pigeonhole principle what can we say? One of the elements in s till day must correspond to the must correspond to which element am I looking for the multiplicative identity right. Therefore, one of the elements in s till day must be 1 and I am done because if it is so then I have actually explicitly found out which element which one multiplied with alpha gives me 1 and that is in itself the multiplicative inverse of alpha. So, no matter what alpha you pick from the set if you can carry out this multiplication operation you are sure to find out one element which takes you to 1 and therefore, alpha times a k is equal to 1 for sum k belonging to the set 1, 2, dot, dot, dot till n. Therefore, there exists alpha inverse is equal to a k in s which means that for nonzero alpha if you are assured that there is a multiplicative inverse this thing that we started with an integral domain a finite integral domain must necessarily also be a field. So, the only way an integral domain fails to be a field is if it is infinite, but that does not mean that if it is infinite it cannot be a field because infinite fields are classic examples of infinite integral domains right. But finite integral domains means it must be a field right ok yes because there are n distinct elements in s till day they are all distinct and these are all members of what because these are by these are by multiplication. So, these must also come from the set s and s has only n distinct elements. So, there are n distinct elements which must be equal to n distinct elements here and this set s must have the multiplicative identity yeah because it is an integral domain it must have a multiplicative identity. So, at least one of these fellows must map to that multiplicative identity and that is the fellow I mean that particular a k is going to be the multiplicative inverse of alpha which is all we needed in order to show that this is a field that is the that is just a symbol. So, one is depending on the operation that one can be. So, 0 can be equal to 1 if you define your operation in such a way if you call your addition as your multiplication of course, you cannot because there are difficulties there, but you know. So, that one is just a place holder do not look at one as I said square root of 2 and square root of 3 the ones examples that I gave you the other day right you should not read them as 1.414 or 1.732. Define your parameters or these objects according to the number system and the rules that we have given do not think of them in the conventional sense ok. So, hopefully this proof is clear right that is exactly what I have shown I have taken any 2 arbitrary elements in a still day call them alpha a i and alpha a j and I showed that if they have to be equal to 0 then a i must be equal to a j because alpha is not 0 it is an integral domain product of 2 numbers is 0 therefore, one of them must be 0 alpha cannot be 0. So, a i minus a j must be 0 if a i minus a j must be 0 then a i and a j are equal, but a i and a j by my claim which I have now erased in that set s are distinct elements of s. So, that is a contradiction right ok. Next we will also look at another interesting property now that we are dealing with these finite integral domains and we saw that their fields what kind of finite sets with these modulo operations do turn out to be integral domains and therefore, fields right. So, suppose z n is equal to 0 1 2 n minus 1 yeah and you define z n with addition modulo n and multiplication modulo n right. The claim is that this is an integral domain now once it is finite whether I say integral domain or field by this previous assertion is the same thing is an integral domain or field if and only if that is sufficient and necessary condition if and only if any guesses and if you have encountered this n is a prime number n is prime. We will devote some time to this ok. We will try to see this at least one part of it in two different ways ok and that is going to be important because much later in the course we shall be using one of those tools that we develop in this proof yeah. So, one part will be quite straightforward if you take it to be composite what needs to be shown is that it cannot be an integral domain or a field and that should be very apparent. If n is a composite number then n can be factorized in more ways than one, one way is obviously n times 1 yeah, but if n is composite there must be some other factors also. So, if you take these two other factors these are nonzero factors right and these are nonzero factors and yet when you multiply them they lead to n. So, n modulo n is 0. So, you already have nonzeros multiplying to give you 0. So, if n is composite then it is not an integral domain and one part is done. So, n being prime is a necessary condition. So, that only if is done right. So, let us just look at the only if part I just write it formally suppose n is composite there exists this implies that there exists q and s such that n is equal to q s ok let us say q and s belonging to let us call this set as s oh z we have already given it a name sorry my bad is already z n yeah. So, q and s if it is composite you must have this property yeah. Therefore, when you look at the multiplication operation q s modulo n is equal to 0, but q and s are not equal to 0. Hence not an integral domain this is clear right it cannot be an integral domain if it is a composite number. So, if you are looking for a finite field subject to these operations there is no way that if you choose n to be a composite number it is going to be a field or an integral domain, but the other part still remains to be shown. So, here it goes where should I erase now maybe you know these assertions well. So, suppose n is prime consider any alpha belonging to z n and look at the following set alpha, alpha squared alpha cubed till some alpha m alpha n m plus 1 likewise not saying this is necessarily finite what will happen if you keep looking at these this is cooked up by successive multiplications which are well defined yeah. So, we are at least assured that this multiplication is well defined there is no ambiguity what are we guaranteed because it is a finite set what can we say. But if we are going on taking higher and higher powers.  So, factors of alpha even if the even if alpha is not a prime number which it did not be but the factors of alpha cannot combine to give you P. So, that is also indivisible right it is irreducible yeah. So, therefore, if you just enhance k by 1 from l right if you just take k is equal to l plus 1 can it just give you say a number and that number multiplied by another number smaller than the prime number modulo P the prime number can they be the same they cannot right. So, it must be more than 1, but at the same time you will run out of possibilities because there is only a finite number of fellows here yeah you are you are looking at a potentially infinite set. So, I mean at most beyond n entries you are likely to repeat you are you are hard to repeat right. So, this must be true which means that we have taken that k is greater l is smaller. So, alpha to the l 1 minus alpha to the k minus l is equal to 0. Again I should probably just clarify a bit here because obviously we are looking for non-zero elements yeah. So, then what happens from this we use the same tool as before reminiscent of what we have done just a while back what do you know about this can this be 0 modulo P modulo any prime number this alpha is smaller than the prime number and you just going on multiplying it multiple times multiple times and then taking its division I mean it is remainder with respect to division by the prime number. Just if you if you have difficulty in figuring this out take prime number say 5 or 7 whatever comes to mind. Take any number smaller than that prime number say 4. So, you are taking 7. So, you have numbers from 0 to 6 and you are taking 4 you keep multiplying 4 multiple times can you divide it by can you divide it by 7 and get 0 because the multiples of 4 I mean take powers of 4 they will never contain a factor 7 it cannot be 0 right. So, this cannot be 0 right. So, let us continue here, but alpha to the l is not equal to 0. So, I have I hope I have justified that why therefore, what do we say 1 must be equal to alpha to the k minus l minus 1 times alpha and we are done because this remember k minus l is greater than 1.  So, this is not a unit yeah this means that alpha inverse is equal to alpha raised to the k minus l minus 1. So, anytime you pluck out a non-zero element yeah from this when n is a prime number you are guaranteed to have its inverse within that set right. Remember this is not just raised to this power, but you have to also look at it modulo p that is the important thing because all these operations are ok I have called it n. So, modulo n where n is a prime number right. So, if it is not prime it cannot be a field if it is prime every element must have a multiplicative inverse. So, it must be a field right there is another way in which we will prove this latter part, but that is again part of the next module.


Good morning friends, I am Purva and today I will help you with the following question form the differential equation of the family of Parabolas having vertex at origin and axis along positive y-axis Let us now begin with the solution So here we are required to find the equation of the family of parabolas having vertex at the origin and axis along positive y-axis So first let us find the equation of one of the member of this family Let p denote the family of such parabolas and let 0 comma a Be the focus of the member of the family So here in this figure we have p is the family of such parabolas and 0 comma a is the focus of the member of the family Then its equation is x square is equal to 4 a y where a is an arbitrary Constant and we mark this as equation one Since there is only one constant so we shall differentiate equation one only once to get the required differential equation so differentiating one With respect to x we get Differentiating x square we get 2x is Equal to differentiating 4 a y we get 4 a into dy by dx And this implies Counseling of 2 here we get 2 so x is equal to 2 a into Now dy by dx is equal to y dash so we get y dash and this implies x upon 2 y dash is equal to a now substituting this value of a in equation one We get x square is equal to 4 into x upon 2 y dash into y Canceling out x from both the sides we get x here and Canceling out 2 in denominator and numerator we get 2 in numerator So we get this implies x is equal to 2 y upon y dash and this implies x into y dash is equal to 2 y Which further implies x into y dash minus 2 y is equal to 0 which is the required differential equation Hence we get our answer as x into y dash Minus 2 y is equal to 0. This is our answer. Hope you have understood the solution I and take care


All right, good afternoon ladies and gentlemen and welcome on back here this Monday August 16th Shortly after 2 30 p.m. Eastern time welcome on back of course for our afternoon meeting great to see Wendy Donald Bonnie Mark William Lewis Gary Oliver students and trial members alike inside our inside our live trading room And if you're joining us on social media face book live or YouTube welcome on back So without further ado the NAO V trade I actually had to dig back into a Benzinga pro prior to prior to starting this meeting Because we've been trading the stock for what like two and a half weeks now two two and a half weeks I forgot what the news was on this stock and Fausto asked me for it earlier in the morning I forgot at the time so just checking right now again the NAO V stock. This is back on July 23rd Mind you. I the news that came out at the time. They ended up getting Australian Therapeutics good administration approval for the company's Euro shield system If anybody knows anything else about that, please let us know I'd be more than happy to learn more But we don't need to know any further in order to trade the stock I mean just go back to you know two two and a half weeks to go back on the 23rd to see this entire move is it pop from 7273 cents that day all the way up towards the high of the day two bucks higher Right went to 272 that day so since we've been following it hasn't been a straight shot up the whole way Is pulled back quite a bit up and down and you know over over the course of the last week We started to follow it again as it broke out over 250 ended up making a pop and drop on Friday last week But here we are today man.  I got a same little pissed off myself here Just to be blunt. I ended up wasting a profit. I was you know up four or five cents on the trade I was in right here from 362 I took a four cent loss beforehand and when I got in at first I think it was here actually ended up shaking around and I said, you know, all right. That's it I'm out. It's like late more early afternoon time. So I didn't think twice about it I just kind of got out and well, of course, I was sure wish I had my shares back So at this point the NAOV stock pushing up higher right now, there was an iceberg order I think it's still there on the ask at four dollars and ten cents That showed up just a little while ago The major resistance was from earlier here at 395 then at the bigger level at four So if it doesn't really break higher here to make the move up to 410 I hate to say it but I feel like the Show is over on this NAOV. I'll still put this on our list Obviously with where it's at right now I'll still put this on our main list for the meantime and hopefully it holds here and pops up higher sooner than later Alright, so for all of us here inside the live trading room at least or at least those that have access to the phase one course We got to get right to it here because class is coming up at 3 p.m. Eastern time So we'll kind of be like a quicker more lightning round addition here We'll just kind of go right from the top work our way down and any of the other moves or stocks that we called out From earlier today. We'll briefly go over it. You know if we have time. I'm down a couple hundred bucks right now I haven't traded since that time since that last NAOV trade So I was actually down a little bit more that four cents ended up give me a little sum back But DMS nice push here up 29 28 plus percent right now. I didn't really see us up until right now So let me check the news out on this trade from Benzinga Pro. I'm just curious and put it on our list either way DMS All right DMS shares trading higher after the company announced review of strategic alternatives. That's the headline there. That's all I got But you know nice push right now either way topped off right around nine dollars and fifty cents I would assume for the bigger level to be ahead at ten just given a whole number But for right now, I mean I'll put it on our list. Just be careful of the order book very very thin very spread out This thing's been through like the spin cycle over the last year Just dropped off Consolidated at all-time lows pumped all the way back up to like over 14 bucks back down man. This thing's been All over got it cheapy here BXRX here. You know the stocks below a buck. I'm not it normally is particular to trade I like the fact that this is of course at the highs right now And for as much as this stock dropped off over the last year probably year and a half and counting You know, it wouldn't shock me to see if the star is aligned for this to make a nice squeeze up But uh, maybe we'll come back to this at the end who this TV TX talking about being all over the place this stock from the morning today ended up pumping up really nicely from like 1717 50 all the way up towards 21 plus came all the way back down You know, this is what I brought this is what I call the second wind type of move right here We're you know after one big move up already ended up making a second smaller move Didn't mean to do that, but uh, you know right now TV TX. I mean it's pushing up here I'll come back to this at the end. I'm not normally as keen to put a stock on our list that already pumped and dumped once You know, it's trading 27 28 million shares prior to today Probably trading just maybe a million a couple million. I Mean that's good, but you know very heavily traded today either way All right, so the DYA I I know that this stock is at the highs still this stock popped up really really nicely for us Going into like practically noon time But it ended up making the better move here when it ended up breaking out over this big hundred K iceberg order on the ask It was right at $5 and 26 cents perfect resistance from the chart, too So it made for a very clean move and for right now given the volume that got filled and where it stands here near the highs Definitely, I'll take this alongside the NA OV Don't really see much of a resistance here right now in the order book Maybe a smaller one ahead here at 570 Keep it going though BHG nice trend here at the highs obviously it seems like more like a swing trade than anything however, though actually Gotta go back to my daily chart, but relatively new IPO Dating back to late June. It seems like opened up around 17 1750 ish ended up making a nosedive down towards You know 850 and under Ended up pushing up here today. I don't know. I feel like it doesn't really it's not really trading a whole lot of volume per minute Right now trading about six seven thousand shares per minute. It's all right, but you know, I want something even better Maybe if this ends up making one more pop at the time. I'm done with the meeting. We come back to it You know if I could prove me wrong there, I'll be happy All right, so this one also trading about six 6500 shares per minute MOXC the thing is on this stock a we're more familiar with it Just with us trading it just over the last two months really on and off But you know right now this stock doesn't really have as much volume for it to break through on the order book sands I will say that the order is 775 about 11,000 share icebergs So that that's your resistance at 775 for the MOXC trade. How am I slipping this on for right now? We'll come back to that other one at the end I'll tell you also as I kind of just you know skipped around here to begin I think I missed the go-co trade geo CO that drop down Yeah, I skipped over this go-co. This was one from Thursday last week got crushed ended up dropping off even further Friday And no nice push back up here Definitely trading more volume per minute about 20 21,000 shares per minute the stock has a much more liquid order book I'll slip this on our list also All right, we might have to make a couple of adjustments here Jeff right now Just said the NAO V trade just completely tanks So we'll come back to that at the end if that's looking garbage by the end of it I don't mind kicking that off. I'd like to have more stocks on our list though at the end though I mean really for the afternoon. It's been kind of a drag, you know going into this meeting the markets are pushing up and up That's nice, but in terms of like a Volatile afternoon volatile market session That hasn't really been the case So no here choppy AMC is up today AMC at the high of the day practically right now So, you know, it looks like a great setup off 36 little choppy around there to begin But you know the more buying we see off 36 perhaps. I'll see this really begin to get going heading into the afternoon So yeah, I don't mind All right to round out the gainers list any other familiar names here the an y-stock that was looking interesting just before Up until it didn't look interesting I mean if this is the way the NAO V tanks just now Jeff then I'll scratch the NAO of you off the list then Code diet code diagnostic CO DX pushing back up again. I know they ended up having earnings from last week They ended up making a nice push on Friday to round up to round out the week, too right back to Friday's high pretty much so The only issue is that it's just trading not really a whole lot of volume per minute about five fifty five hundred shares per minute Alright, so let's hop over to the losers list if this ends up popping also I'm sure I'll catch it from Benzinga pro at the end of this meeting today's Monday I'll briefly touch upon Bitcoin hasn't really been a whole lot going on over the last, you know, 72 hours really the SES entered Unfortunately, this one kept dropping right? We're hopeful for you know at least a dead cat bounce at some point in time And you know, that's not out the window across this week There's still a chance where it can you know make a smaller squeeze back up But you know after making lower highs pulling back down to support at 130 or 131 from pre-market, you know Once it broke that that's it. So there's not much of a buying opportunity right now I mean, I guess there is a smaller support at 120, but you don't want to try and catch the following knife This isn't the fastest stock in the world to catch the following knife on but either way, you know You don't want to try and do that. It's just a waste of time if anything There's a epic stock also got crushed today So I'll check Benzinga really quick just to see what happened to this stock down 35 plus percent right now EPIX I Never really traded this stock before hasn't really traded a whole lot of volume per day at least up until maybe like last week But yeah, it looks like earnings they end up missing earnings. Sorry, so You know for right now again, the only issue on this trade is the same issue I've had on other stocks so far today It's just been low volume per minute right now Decent volume total across the day, but it's stocks only trading about four or five thousand shares per minute That's not a whole lot that I would want to see right now. So it's near the lows and it is shortable I don't know if this is all-time lows for that matter as well. That's even More of a reason why you should watch it Yeah, I don't know I'll kind of round up all the ones that I'm kind of putting on my side list here at the end We'll kind of cherry-pick the ones that look the best This one's not really doing much Nova vax I shouldn't have clicked this too expensive. All right folks I'll tell you I mean hey the markets up at least so there's not a whole lot That's really down as big as much so let me know if there's anything else that I missed up down left right more than five percent That you'd want me to check out here pretty quickly Bonnie says she got four hundred shares to short AMC You always want to follow the trend just remember that you know It's still building a trend nicely up off the lows Just as I said before you don't want to catch the falling knife. This is catching the falling knife just upside down All right, so from Franny or pH familiar name here nice little pop-up right now up over 6% I'm gonna put it on our list. Good call and you know I will say just aside from that just be careful if the volume completely dies back down and this dumps back below like 540 ish then I would just move on pretty quickly as that ended up happening to us I think from like last week right here I think it was Tuesday of last week or Wednesday of last week it popped up moved up really nice You know it dumped off the next couple of days later But you know it's just to say you don't want to catch the fall knife or at least be caught in a pop and drop type move here So good call for right now PSFE down from pTrader interesting Interesting loser here right 16% shortable at the lows and I skipped over it. I guess I don't know but great call Yeah, I like this one PSFE awesome. All right, so that's all I got from the trading room That's all I got from YouTube at least let me know if there's anything else that I may have missed though I feel obligated to show the Bitcoin chart because I have been saying Monday Wednesday Friday But to just be honest there hasn't been a whole lot happening since at least Friday night You know where we last left off Friday afternoon 2 30 p.m. Eastern time on Friday It ended up popping up a little bit more But just tight range. That's really it the bigger thing is Cardano The other one I've been telling you that I'm in the one I'm a lot more in After the market closed on Friday that only continued to push up more more It was right around like 203 205 at the time popped up to a high of like 225 so That made the bigger move, but we'll see what comes across this week altogether not a whole lot really happening You know in the crypto world otherwise Louis says for him Ada. Oh, that's right XRP ripple I don't own any XRP. So I didn't feel as obligated to show that chart But ripple ended up making a big move over the last day or so as well loose. I saw that All right, so folks, let me know one more time anything else that I may have missed I think they were just about good. I don't think I missed anything just checking benzene a pro here pretty quick I don't see any of the other sideless stocks getting called out Let me check out before we finish up the naov. Jeff did say a tank. Yikes. Yep That sure is a tank So it's to say this I told you that hey if it doesn't break out sooner than later You know so you don't want to get caught holding on to a trade like this when the volume dies off It's not breaking higher not breaking higher After broke over for it's gonna go one of two ways. They had a breakout over that iceberg order at 410 Otherwise if it doesn't do that sooner than later, it's gonna make a big move.  I Shouldn't say good big move, but not the the move that you're looking for so I Yeah, I mean unless if this could really begin to bounce right Now which I'm not counting for it, too. I I think we'll kind of scrap this from our list here Jeff it's shortable for you if it's shortable then perhaps then you could try and trade it on the way down If it ends up making a freak higher low here and slingshot right away after we finish this meeting Then perhaps we'll refocus on it But otherwise for right now I'd focus on some of the others the ORPH looks good The DIY AI on the way up looks good go-co still AMC if you're trading the more expensive stocks Hello that PSFE from pTrader that looked really nice as a short heading into the afternoon So actually a decent list for us heading into an otherwise stagnant Monday afternoon So I'm actually pretty excited for this folks. All right, so I look forward to it for all of our students Are joining me in the phase one stock course I know that rich post the link just above they'll repost it right right once we're done with once we're done with This meeting for all of us in social media Facebook live YouTube I appreciate you sticking with me each and every day each and every afternoon if you haven't had the chance to do so yet Just go right down to the link on the banner below to continue the audio commentary Going into our live trading room at least so make sure to sign up for a live trading room by doing that Otherwise I look forward to speaking with you folks come tomorrow


Question formulation technique. We're gonna practice it. We're gonna go through the sequence. We're gonna go through all of the steps and we're gonna work together to get that done so you have a strong sense of how to do this and you're gonna see how simple it is and how powerful it is as well. You've been talking to me about how you're concerned about your son being able to graduate in time next year and I've learned about this method of asking questions or formulating questions for parents to advocate for their children. So I thought we could go through the process today of thinking about questions to ask and having you be more prepared when you go to the guidance counselor at the high school. So the topic today would be your son doesn't have enough credits to graduate next year. That's the first question that comes to mind. What can he do? Okay. To ensure he graduates. He goes to an alternative high school. So is that the issue? Why? He was told he couldn't. Who else could I talk to other than guidance? Your child might be held back in the same grade for one more year. Three minutes, please. Will there be a different teacher? What could you do to prevent it? When did they realize that this might be an option? Like this might happen? What did you learn? I'm gonna go a different route. Sometimes you have to go above to get answers instead of just being told no. Right. Because there has to be options. And there's gotta be another way. So that's my... How do you feel? Better. Because now I know who to contact and what questions to ask. I don't want to go totally on emotion but make sure that you go through and ask those questions before you walk in. I think I can do it this way that way I can help him out more. When I go to the meeting, then I know what can I ask? You know, and how can I ask and when?  I'm not gonna be able to hand them a list of questions. They know what is in their hearts. They know their children better than anyone else. They can, even though they may not think that they know what questions to ask, they have them in them. We cycle parents through these open houses in these parent conferences. You literally have 15 minutes. You better use it right, you know?  So to really get at what you want, you're in great shape. This was a nice beginning piece to really have this, the relationship building takeoff. Yo pienso que es importante para los padres saber hacer las preguntas correctas porque estamos hablando de la educación de nuestros hijos, del futuro de nuestros hijos. I got an IEP for my son, both of them. And now that I have some more information about asking questions, I think I don't always know what to ask in those meetings.  Now I feel more empowered to ask more detailed questions.


So, Shane, wrth cops hnw ddim yn siart. What's the wash up after that where it was a pretty energy sapping sort of game I guess with the height? How did you sort of address the result with the players afterwards? I've disappointed because we've obviously lost the game. The conditions were the same for both teams, it took a lot of energy out, the boys were seeing that in when the referee stopped the games a couple of times in each half Mae'r gweld ynw'n gweithio'r ffordd a'r cyfnod, oherwydd mae'n ei dweud i'r ffordd i'r gweithio'r ffordd. Yn yw'r hi wneud i'r rhywbeth yn ymgyrch yn ei ddalig, rwy'n gweithio'n gweithio, rwy'n gweithio'n gweithio'n gweithio'n gweithio, yna'n gweithio'n ddysgu'r ysgolwyddoedd, i'r ffawr o'n gweithio'n gweithio'n gweithio'n gweithio ar y gweithio, Mae gweithio erbyn o'r ddod. Mae'r awgwyl yn dweud o'n ei wneud fach, mae'r oedd ddim yn ei wneud. Mae'n ddiwedd. Byddwn ni'n gweld. Dwi'n rhaid i'n meddwl o'ch meddwl diwrnodd ym Llyfr Nolidol Ysgrifennig ar Ysgrifennig? Yn ni'n meddwl o'r meddwl. Yn ni'n meddwl o'r meddwl, ac mae'n meddwl o'r meddwl a'i eisiau'r busnes i'n meddwl i'w bwysig o'r ffasedd hefyd RFonda hashaz is the fundamentals of the game for opportunities like that and it's probably an easier chance than what they had but you know you don't score keeping a makes a really, really good save. But you hit the target. That's one chance we had I think we turned down too many opportunities especially in the first half to shoot looking for the perfect goal and if you're wearing for the perfect goal they don't come along you know its ricochet, its rebounds, its touches my defender touch the ball on the cross leading up to the first goal if he doesn't touch it we get the ball. Having said that, we shouldn't stop Mae'n euginc panu'r coeri am yr ac snap倍, mae ei gаниемu y sleUL sy'n hyn oni ac yn ystafell先 gan un bod eidiol ar yma sydd answered me reagrawdedd yn cytrifohertyn.eddwn i pawr yn ddod yn broblem a'r prolog o'r cris maeth yn collo gwybod'i ateb gyntaf. DEA'r Gwyn whitewg y wgwr ofa wllwedd cha'u drafodaeth i éch pa yn y cwelch felly fydden newydd acbydd y rhan o ar gyfer hyn nhw ddyn nhw nodi y thymau i stopped ffer bod mwyaf all gwrth Children, Felly mae'r berthynas o'r newydd yw'r cyflog wedi bod yn gwneud hynny. Maen nhw'n ddwy'n cael llan i gynnwys. Roeddwn ni'n gweithio'n gweithio ar y bobl. Roeddwn ni'n gweithio'n gweithio ar y bobl. Roeddwn ni'n gweithio ar y bobl. Roeddwn ni'n gweithio ar y bobl, yna sydd yn gallu'n meddwl sy'n gobl. Ond mae'n gweithio'n gweithio ar 10. ac mae'n gweld i'n rhan o lawrtenni o'ch gweithio i olafbwynt ar y cysylltion o'r gwyllgor ar y cyflodol, oherwydd yn y cyflodol y gyflodol arall,음 yn y fwy o gwrdd, ac mae'n meddwl ar hyn o ddim yr un ymlaes. Ond mae gennym i ymlaen. Carl, mae'r hyn oedd hyn o'n meddwl, os yTP yn fflaeniaeth i ddefnyddio'r pryd-pyri, neu yna'r wneudiau symud ymlaen o'ch ddechrau, Felly y gallawn yn erioedio ardal yn ddoch Cymru a chael y cyfnod dweud fod y dweud. Cymru'r rhaid yw'r cyfe Country, gan yw'r cyfrifiad â'r tyfu? B burgers hefyd wedi'i bod gwybodi ar gyfer ymlaen. Felly mae'n gweithio ond mae'r cyfe Grann yn ymlaen air yn ymlaen ar gael. Felly yw'r cyfrifiad â ddweud ar gyfer ymlaen yr athill oedd yn ddechrau ar gyfer eu cyfrifiad. wir na ceisio gweithio iawn – dwi'n cael ei wneud o'i ddweud hynny ar gyfer bod y cyfnod mynd ym Mhagion, ym MAX, a'i ddweud gweithio anhygoel mwgfa y Rydybeth yn ein bwysig yn ddwyngen nhw a'r gweithio'i ddweud. Mae'n ddweud'n cael ei wneud MC—i wneud o'r Adegd yn eu gwpalio efallai i ei wneud o'r gwneud o'r adegd a'i wneud efallai i'r adegd. I need to look at different ways of doing it, whether it's, you know, we overload one side for a 2v1, whether we play higher, our full backs play higher up, and we did that in the last 30 minutes. So, why do I think it's not coming off at the moment? You know, we train very hard, and if you watched us in our training practices with our finishing, then I know every coach will say they're as good as anyone, and mine are. So, like you said, it's just a get back to work scenario, we need to be better, we know that without a doubt, you know. But, you know, I can't fault them with the guard's effort and work and things like that, but we need to, we do need a little bit more quality in the final third, and that'll be my challenge for them. I was just wondering if you had any, I guess, in terms of like what you think, it can't be pinpointed, sorry, it can't be pinpointed to like one particular statement, obviously, but what you reckon the tactical identity of the football to be your team is to try to create? Hi, Jack. You've got something on your back, are you sure? Sorry. What do I think? Yes, okay. Can you hear me, Jack? Yes, yes. What do I think? I want to play with the ball. I've told you that from day one, and we will play with the ball, and we do play with the ball, but our tactical identity or philosophy or methodology, which of the words get thrown out here all the time, I think they're dependent on whether you win or not as well, because if you win, people don't ask you these questions, if you don't win, then people do. If you win 3-2, everyone says that you're entertaining and you can score goals, but your back end of the team isn't very good. You've got to decide what type of team you want to be, whether it's a counter-attacking team, a low-block team, a mid-block team, a possession-orientated team. We want to have the ball. I challenge my team every day to have the ball. What we do need to do is we can't have 60%, 70% of the ball most weeks and then have no actions, as Dom said there. We need to be better than that. I said I might as well have 30% of the ball and play directly with two big forwards up top, but if you don't get results with that, people will say that you don't have enough possession. What you have to do is put it together and piece it together, and that's what we've got to work through next week especially, but moving forward, there won't be too many changes. I want the ball. I think I'll win this season against Wellington. I think it was 50-50. Sometimes possession doesn't matter whether you win or not. It's the end result. It's something we need to work on, especially in the final third area. Good question. Just on one of those training ground attacking movements, one thing that was present was Hemed was dropping deep, as a 10 with the two wingers becoming a good front two. I guess Hemed's progressive passing is really good, so is that the main reason behind it? It's a good observation there, not intentionally. Tomah likes to feel and get involved in the play. If you said you have 600-700 passes a game and as a centre forward you're having 20 touches, you're probably going to get frustrated. What you need to do then is, your wider players need to evolve inside and roll inside and be that second forward or third forward. We are starting positions were fine. When Tomah dropped, I didn't think we had enough movement from the outside players in. Kajiro got in once or twice and obviously didn't shoot when he should have, or we just huffed and puffed. But like you said, if I move here, then you move there. It's simple, it's pass and move. Yes, it's attacking patterns, it's defensive patterns, it's all of these things that you need to do on the training ground, but the boys work hard on the training ground. All good? Thank you guys. Thanks Carl. Thank you. Thanks, sorry, thank you guys.


Okay, so I wanted to cover, I guess, a few things that Philips mentioned in his previous talk about the sort of scale of IoT and the complexity of the software. He's mentioned a lot of the hardware functionality going into software and how this complexity is driving a lot of, a lot more software dependencies, a lot more issues with deployment of the software. And so I started thinking about a talk and what kind of thing I could talk at here at the conference. And so I have a talk following this in this room. The title of it is Speeding Up Development with Debian and Open Embedded on the 410c. It is not a marketing talk. It is not specifically about the 410c. It does highlight for people who are interested about the Dragonbird 410c for those who are interested. There's mainly a talk about Yachto, about Debian, about the differences in the communities. I can't tell you how many times I have tried to explain to people that when you build something for one system it doesn't automatically work on the other system. There's a lot of reasons to use one versus the other. If you look at the Raspberry Pi and you look at the single board computer ecosystem and how having Debian and 20,000 packages you can bring in allows you to prototype so much easier. I certainly know in the machine learning group when you are trying to pull in cafe or something like that and you have many dozens of dependencies you do not want to do that in Yachto to start with because it will take you forever. There are ways to do this intelligently. And so the speeding up part of it is how do we do this intelligently? How do we think about which parts are appropriate? Cannot even deploy with Debian. There's a lot of talk about Debian's place in the embedded ecosystem. And I think people are realizing a lot about the code quality that's there, the support that's there, and how can it be leveraged. So there's projects like ISR and another one I found out about Debian in the civil infrastructure project. So I'm going to talk about all these things in the talk and try to paint the broader picture. Thanks. But even in the speaker's lounge this morning I actually heard a pretty heated talk about Debian versus Yachto. So it is, I believe, a very pertinent issue. What else did I want to cover? Yeah, the other part I guess is about cost and speed and development. Open source versus leveraging the hardware. Philip had mentioned a lot of the things are moving from hardware to software. But with these open frameworks, certainly machine learning, you want to take advantage of the hardware as well. And so having a way to do this and then scale out into the IoT market where you have upcoming patches and you have a way to get those upstream fixes and you're not trying to maintain the entire platform yourself is important. And so leveraging an upstream capable platform which still gives you access to the hardware for acceleration is really important and really valuable. So that's, again, something else I'll cover. That's all I have for today. Please join the talk if you're interested after this and I hand it back to Philip. Good luck. Thanks.


So I am very happy to say we have Kate Bolling with us today talking about the story of El McKinney. Thank you very much. Okay. Hi everybody. Thank you so much for being here. I know it's seven. I know there's a lot of things on. I know you're probably all exhausted. So am I. But this will be good. Now, before I begin, I just want to put out say a couple of things because I'm the kind of person who likes warnings. And my warning is there are a couple of photos of a dead guy in here. He's been long dead. And I don't just mean historically. I mean, he's been long, long dead by the time the photo was taken. So if that's not your bag, the exits are there, there, there, there. I don't mind. It's fine. Also, if you're expecting these to be really super high res, multi-death, 28K, every single pour, no. Pretty much most of these, these are from books. These are badly photocopied. You're lucky they're not on microfilm. Ask your parents. So, you know, they're not going to be great.  So have fun with that. Go next. Thank you. So we are now going back in time to the 1970s. There is a rundown amusement park on the coast of Long Beach, California. It's had a whole bunch of names over the years. And in the 1970s, it's called Queens Park because the Queen Mary, that big old ship, is right next to it. And they thought, oh yeah, now people will totally come here. But all the locals call it the Pike. And all the locals think it's rundown. It's seedy. There are tattoo parlors. There's sailor's cheap dive bars. There's rigged amusement parks, arcades even. There's rigged arcades. It is a trashy, trashy place. It's for sailors and teenagers. But it's a really cheap theme park and it's great for filming. So Hollywood adores it. Next. Thank you. As proven by this shot, this is from Colombo. I love Colombo. This is identity crisis, which was shown in 1975. And there's a dead guy in this shot right now. Okay, wait, I shouldn't say right now because actually Patrick McEwen and Leslie Nielsen are both dead now. But in 1975, there is a dead guy in that shot. You won't be able to see it, but he's there. This is Laugh in the Dark, the fun house at the Pike. It's pretty terrifying. On the outside, they've got a laughing sow, which is one of those really, really creepy animatronic creatures that just rocks back and forth and laughs hysterically in a really creepy way. But actually, the real creepiness is inside. Because it's December 1976. They're filming an episode of the $6 million man. And so the crew, the teamsters, they're getting there. They're setting everything up. They're going, yeah, this is great. This will be a great shot right here.  It's not cool. We got to move it. It's just, it's not fitting my vision. So teamsters say, right, this painted day glow, dead cowboy hanging from the wall, he's got to go. That's okay. It's fine. We'll take it down. So they take it down. They pick him up. They're like, he looks a little weird. We're going to have a better look at this. And when they look at it, his arm breaks off. And there's bone inside. That's a real dead guy. In that day glow orange covered in wax. It's a real dead guy in there. And they're just like, what has happened here? So the cops are called. Everybody goes, what do we do about this? We don't know what to call it. It's a dead guy. But he's not dead. He's not long, you're freshly dead. He's kind of dead. We don't know what to do. Let's go back and forth. And eventually the LA County's coroner's office gets involved. And this is when Dr. Thomas Noguchi shows up. He's a celebrity coroner. There's no other way to put it. He's done the autopsy of Marilyn Monroe, all the movie stars that have died in tragic circumstances. He has made, managed to make money off of them because he wrote books. In fact, he includes this whole story in his second book, Coroner at Large. You really can't beat it. Honestly, I've got an e-book copied later on. I'll read from it. It's great. So he goes, okay, hands us over to Dr. Joseph Choi, who's one of his coroners and says, here's a body for you.  So have fun with that. And they look at it and they investigate. They discover that an autopsy has already been done. He's got a big old autopsy scar that there was a bullet hole. There was a bullet wound, but the bullet's been removed. But the gas jacket, which is the little tiny bit at the bottom of the bullet, is still embedded in his, they say thigh, but it was probably more of his hip. It's about here. And they're like, okay, that's progress. They also find that he's got a hell, a hell of a lot of arsenic in his system, which has obviously been used as the embalming fluid. And then in his throat, they find a 1924 penny and a ticket to the Sunny's Museum of Crime. And they're going, these are clues. We can do something with these. So like I said, a gas check, some embalming fluid, that penny, and that ticket. So the gas check was only made from 1905 to 1942, narrows it down. The arsenic stopped in about 1920s. So they're again, narrowing it down. And the 1924 penny, well, heck, that just gives it away. And then the ticket.   Who? What? What is this? So now we're going to go back in time even further. And we're in 1880. And that's when Elmore McCurdy's born. He's kind of brushed childhood. He starts drinking really early. And then he learns how to be a plumber, but he alternates being a plumber with being a lead miner, which isn't really grateful, great for producing a particularly great number of society when you're mining for lead every day and drinking every night. He, 1907, he joins the army and he becomes a machine gun operator and he gets a tiny bit of a demolition's knowledge and he learns how to use nitroglycerin. Good for him, right? He gets discharged.  And they're like, Elmore, what the heck? So he gets released after a brief stint in county. And that's when he decides, I'm going to become a bank robber. Elmore, what are you thinking? Because he's really bad at it. That tiny bit of nitroglycerin training he got? Terrible. He's terrible at it. He blows safes, but he blows safes. They used to do a robbery and they managed to get around $450 in silver coins, but that's only what they managed to scrape off because it had all melted. That's how bad he is. So in 1911, they decided they're going to rob the KT Limited, which is a train that went from Missouri, Kansas, Texas. That's why it was called the KT because Kansas and Texas. And they got told that there was going to be $400,000 on that. That's a good haul. If they get pulled that off, it's heist movie time. But because he's so bad at it, they got 46 bucks from the mail clerk, two big old things at whiskey, and a pocket watch from the conductor. So he holds up on his French ranch, drinks all the whiskey, and while he's sitting there, he's also got tuberculosis at this time, so he's really not doing great. And he's really drunk, and the sheriffs come find him, and he says, you will never take me alive. And they didn't. Come on. So the Johnson funeral home takes him and says, okay, we're going to embalm him. We're going to use our lovely arsenic stuff because that keeps people around for a while, and it's fine. We're going to just, you know, when people show up to claim him, he's right there, and he's all ready to go.  So they're like, that costs a lot of money. We got to do something about this. So they put them on display.  Here, when you come, it's a nickel, and you put the nickel in his mouth. It's great, and it was, it was ridiculously popular. Everybody came to see it. There's also, this is apocryphal because I didn't find an actual source for it, but apparently the Johnson's kids, when they wanted to terrify their friends, would stick him on roller skates and wheel him around the funeral home. That's what fun you can have.  Two brothers show up and they go, really? Okay. Two brothers show up and they go, oh my God, our long lost brother Elmer. Oh my God. We finally got him. Please, can we take him home? Please. And they go, yes, of course you can. They weren't his brothers. They were the Patterson brothers of the great Patterson carnival shows. So now he's on a side show. He's going everywhere. He's traveling the world. In 1922 then, they sold him to Louis Sonny, the man of the ticket, and he's now in the Museum of Crime. He has a brief moment in 1933 when he's in the great big display there for the movie Narcotic. He was a hop head who robbed a liquor store for his fix and died. It worked, apparently. And then he was briefly in She-Freak. I actually went through all of She-Freak. I could not find him, but if you really want to watch a bad 1960s knockoff of Todd Browning's freaks, it's on YouTube. Have fun. But he's mostly been sitting in storage. He sits in storage and he waits and he waits and he waits and nothing happens. He briefly gets loaned out to a Canadian group in Niagara Falls who say, oh, he's a bit too gruesome. Oh, take him back. We don't want him. He gets sold then to Spooni Singh who runs the Hollywood Wax Museum. And Spooni goes, this is good. This is a huge job lot of waxworks. So this is by now what nobody realizes that this is a real person anymore. He is now a waxwork. And Spooni goes, well, he's okay, but we're not going to stick him anywhere. So we're going to sell him to Laugh in the Dark. And that's where he was when the coroner found him. And they managed to do this really neat trick because there were no fingerprints. DNA wasn't a thing back then. And they took an x-ray of his skull and a photo of what we knew was Elmer McCurdy and lined them up and the bone structure matched. So after they managed that, they then said, okay, now we got to bury him. We figured him out who he is. He's got to get buried. And my God, he should really stay put this time. There's still no one to claim the body though.  Oh my God, yes. And they're like, no, no, no. And then finally, boot hill goes, you know, Oklahoma outlaw, we should really take him. So he got picked up by Dr. Judy Melanick, who by the way has an amazing blog post about this. And she takes him and she releases him to boot hill and he gets buried. And right now that's where he sits in Oklahoma under several feet of concrete. So he ain't going to go anywhere else anymore. So there he goes. There he rests. Now, along with loads and loads and loads of kids seeing this as a child, there was one kid who saw it when he was very little and it terrified the hell out of him. Then in the 80s, when he's working for Mattel as a lead designer and he's coming up with this fantasy line, he's like, oh my God, that scary dead guy I saw creeped me out. I know exactly what I'm going to do. And that's how we got Skeletor. So the next time you're in a funhouse or a spookhouse or a ghost train and you see a skeleton hanging from the ceiling, just take a second and go, could that be what I think it is? So like I said, the slides are going up right now on Twitter. And basically, if you guys have any questions, feel free. Otherwise, we can all skedaddle to the talk about zombies because hi. Wow. Well, that raised a lot of questions. Thank you very much. Does anybody have any questions about that? That's all. Is anybody going to hand it? No. They're all too stunned by, is it, by the way, is this a true story? That's my first question because- Oh my God, this is entirely a true story. This is exactly what happened. Maybe a bit of it's apocryphal, but you know, most of it's true. Definitely was a real dead guy. Nobody, they're all too stunned. I know how they feel. That was quite stunning. Well, thank you very much. That's my favorite dead guy. I know a lot more stories about dead guys. Come find me later. I take coax. It's great. And there's a promise. Okay. Well, thank you very much once again. That was brilliant.