The most important part that we go into every single day is don't trade with your eyes closed. Be prepared. Whether it's the long side to the short side, be prepared. From the technical aspect of what is happening is we're in a short little cross. Welcome to Access to Trader, the number one community for those who are committed to taking control of their trading in order to achieve success, profitability, and longevity. Thank you for joining us. Here's Dan Shapiro to help you find your edge, master your process, and own your future. Hey guys, good evening everybody. Welcome to another edition of the AccessToTrader.com Nightly Wrap Up Show. Hope everybody is doing well.   We'll get to individual pivots in a second. So let's talk about the macro picture. And this is kind of what we've been talking about now for about four days. Big, big macro push, three weeks worth of buying stocks through an orbit. And then slowly but surely we started seeing, you know, a little bit of a resemblance of what happened right over here on September the 1st. And basically what happened was after this really, really big move up, we hit supply and slowly but surely started putting in lower highs, lower highs, lower highs and over the course of the week or so, we started losing the five day moving average and then we lost the 10 day moving average and then we fell below the 50 day moving average and then we sold off for the next several weeks.  Muscle memory, chart effects, chart market structure usually plays a similar role all throughout your career. The question is, you know, do you open up your eyes? Right? Do you look at reality like we've been talking about or are you still trading in fantasy world with the blinders on? And, you know, yesterday we saw the second day in a row of a lower high, again, resembling off the rejection off the upper Bollinger Band and today was day three. Now, again, it's not really a big deal. The Nasdaq was down 100 points today. That's not a big deal. What we've been talking about for the last week or so is not the destruction of market prices, not the destruction of stocks, but reiterating the point that even though we've been on a big run and the market continues to see really strong value, we wanna stay away from the high rises. Remember, like every video, it's the same thing. Stay away from the stocks that are up 10, 20, 30% away from the 50-day moving average. Again, when the market gets pulled, they're the first ones to get hit first and pulled the hardest because gravity is real and there's only one breakout, okay? There's a one breakout and then everything else is a continuation and the further you are from the breakout price, if the market does feel a little bit heavy and a rounding top starts to fall, the first ones, the first dominoes that are always going to feel the ramifications of a potential rug pull is obviously the high flyers. And we saw that today with some incredible pulls. Not everything, right? That's the whole point, not everything. We're still above the 50-day moving average. There's still a lot of names that are being pulled up above supply, but the stocks that had the big, big runs, the euphoria, the deep out of the money calls, buy at any given point. They're the ones that got hit. They're the ones that got hit hard and the after hours action reflects exactly what we talked about. So, let's talk about the biggest high flyers, right? No bigger high flyer than Tesla. Look in the video, right? Look in the video. And again, this is not an indication of what it did, but an indication of what can happen. It started really, really good and then they pulled at 30 points off the highs. And if you look at Tesla's chart, right? If you look at Tesla's chart, how it formed this whole formation of what happened today and you look at Nvidia's chart, how it's setting up, it's very, very similar, okay? Look at a name, for example, like car. We'll get to the individual pivots in a second. The stocks that had the biggest moves once they lost the five-day moving average, again, think car, think Tesla, right? They're the ones that got absolutely destroyed. Some phenomenal moves today, okay? Absolutely phenomenal moves today. And when you look at the after hours action, it continues the trend, coin, right? Coin, huge, huge moving coin. Absolutely magnificent moving coin after hours absolutely manhandled. UPST, another ridiculous high flyer. Absolutely destroyed. Letter U, right? Absolutely destroyed. And that really shows the purpose. It's not about being right.  It's like doing the rain dance in the desert. Eventually the market sold off and you're pouting yourself in the show. It's not what it's about. It was about giving an indication, an inclination of what's gonna happen if you completely remove sensibility out of the equation and believe that you can walk on water and nothing's gonna affect you. The high flyers are always gonna be the ones that get hit first. And unfortunately, new traders, you've never experienced this. So how can you possibly see the signs coming? How can you possibly see the train coming in the tunnel if you've never experienced something? And unfortunately that was the case. I think a lot of people today got really caught, really off guard on a lot of major moves. We saw this morning not only a pretty aggressive move from the biggest runners, but we saw the financials as well. You had golden sacks that had a pretty big run now five days in a row, financials are giving up. So the high flyers are giving up, the financials are giving up. You're seeing a lot of the beta names that first started resting, just melt in a little bit lower, they're starting to get aggressive as well. Amazon looks great, not saying all of them. And the reason why Amazon held up because Amazon never went linear, keep that in mind. Amazon never had that 25, 30 day in a row up $600, $700 move, it never happened. And this is why the stock started getting really, really aggressive today versus all its peers that started getting very, very weak and setting up some tremendous value tomorrow to the downside. On the flip side, remember this, we're still above the 50 day moving average. So the names they're going to still do well going into tomorrow on names that just confirmed today, whether they had really, really good earnings, again, think names like TTD that had a great second day run. We'll talk about the pivots in a second. A name like RBLX, right? RBLX had fantastic, fantastic earnings today, should be bought TTD and RBLX and Amazon, matter of fact, should be bought on any dip tomorrow into rising 60 minutes support again. We're still in a bullish type of environment. Just now we're seeing a lot of aggression cycles in very, very exaggerated names. But that's exactly what we plan for. And the most important part I think about today's session was not because what we were finally right, who cares about ring right? Okay, it's not about tweets and retweets and likes and shares. It's about being prepared. So you're not sitting there completely bombarded with an avalanche of selling in certain names. If you didn't see it coming, if you didn't see the price action coming or didn't care to even think this was gonna affect you, right? That's the arrogance that every single trader, including myself, during the dot com bubble and now during this miraculous 2021 season that stock prices are just getting tired. The leaders are getting hit. Earnings now are starting to get really exaggerated, especially to the downside, but especially to the upside as well. So this market is really loving hard. It's really hating hard, but the most important part that we go into every single day is don't trade with your eyes, close, be prepared. Whether it's the long side to the short side, be prepared. From the technical aspect of what is happening is we're in a short little crossroad. What I'm about to say has nothing to do about what I think is gonna happen if we lose today's loss. But today was the first day that we closed below the five day moving average all the way since October the 12th. So you're talking about roughly a full calendar month without closing once below the five day moving average. That's how strong the action has been. That's how linear some of these stocks have moved. So what's the ramification below the five day moving average? If we confirm tomorrow and we start losing today's ranges, obviously if you believe in the theory that stocks trade from supply to supply demand to demand, then the next area of interest is going to be the 10 day moving average, which is roughly around two and a half, $3.  It doesn't become a big deal until we start losing the 50 day moving average, which at this point, it's even ridiculous to even think that we're gonna get all the way down here. Let the market play out. Let the market and prices dictate to us that it's going to happen. But first, before it gets down to the 50 day moving average, there's a series of events that it has to happen. We have to reclaim the five day, move to the 10. The next day we have to reclaim the 10 day, move to the 20. Then we're going to claim the 20 day, move to the 150, you know, and on and on and on. So one day at a time, that's the most important part. You could only prepare for one day at a time, one trade at a time, but you have to think.  So let's talk about it, right? Let's talk about today, obviously going into tomorrow. I definitely have some shorts that I like. I definitely have some longs that I like, but I definitely have some shorts that I really, really like. So let's talk about today's session. One of the more aggressive sessions that I can remember, we've had some really aggressive sessions over the last two, three weeks ever since the 50 day moving average. But today's moves and especially today's polls in names like Tesla, in names like a car, even moves and TTD, just super duper aggressive. And going into today's session, I really didn't believe that we could have a big premium day. But as I said, morning strategy, and for all you guys who are getting the recording tonight, you could, you know, I clearly said, I said, I don't think there will be a premium session, but I believe we can get some premium value. And ironically, it turned into a premium session. So let's talk about it. So TTD, just like RBI likes, had a great, great quarter. And it took out all areas of interest yesterday and it put in a high at $90. Why was $90 important? Well, $90 was the high from September the ninth, September the ninth, and it stopped perfectly, perfectly at 90. So it got rejected twice. If it builds above, can push what? Monster move, absolutely monster move. Here was the 90 from the eight, nine highs. Here was the 90 that stopped yesterday. It took out the 90 and basically traded to 100. I think this thing has one more day of upside. And again, any dip tomorrow needs to be bought into rising 60 minutes support. Great, never got, you know, again, this is the third time we watched that 31 level. This is the third time it traded to the 3050s, 3070s. Never confirmed the 31 area. I'm just waiting patiently for that stock to go. If it does, would be great. AMD never gave a second entry, popped a little bit pre-market, never came down. Jumia never got to this 1980, 20 level. And I started putting, I go, listen, I'll start putting in more pivots as they develop a lot of noise, little substance, let's wait for everything to play out. And slowly, but surely it did. So you had a monster move in TTD crowd. I forgot who put it into the channel. It was not my idea. Phenomenal trade, whoever did it, I apologize. I'm just so tired, I just don't remember. The 284.75, 285 needs to build. Crowd went absolutely bonkers off the open. It took out this whole 85 level, went to 96. And crowd is literally one day away if the market doesn't sell off tomorrow. Crowd is one day away from taking on all-time highs again. So crowd looks great, great. I mean, $7 push on crowd today if you've got a great job there. TTD, they were coming right away. They were coming for the 95 calls over and over and over. And then they started coming for the 100 calls, stock traded to like 90 and change. Just a fantastic move in TTD monster move.   And this is where we talk about stocks go from support to support to supply to supply to the band to the man. So Tesla yesterday stopped at the 10 day moving average. And here is the 10 day moving average on Tesla. It stopped yesterday on this rising support and the low is 11.33. Stocks trade from demand to demand, right? So demand to demand. This was an absolute, just a free-for-all. 11.33 is the 10 day moving average, 10 day support. If it builds below, it has a lot of room down. To say the word destroyed was an understatement, just absolutely, just wrecked, just absolutely wrecked. I thought it could get down to 10.50. It got down to 10.11, just murdered, absolutely murdered. Do I know, do we know? Does anybody really know if Elon Musk sold today?  It doesn't really make a difference. Price actions, price action and technical levels are super important. AI 51, 51.32 needs to build. The December 55 calls are coming in again. You could clearly see just a huge, huge potential today. Here is the 51. Here is the 51.32. Stock traded to almost 54 coming into the 50 day supply. Really, really big move there. Take on the way up, 53.50 for supply. Car, here's another example, stock. Anything that rally, anything that was up in the sky got wrecked today, 271 held twice. If it builds below, can see 247, 10 day support. They're killing anything, right? Anything that's overextended, who would've thunk it, right? See if you heard this before. Be careful of anything overextended, right? That's the whole point, folks. Just be, and it's not about being right. It's just about to be prepared.  I still like Cisco off the 58. I just, amazing moves there. Really, really amazing moves. Again, guys, congratulations for all you guys who just did well, just did absolutely well today. Phenomenal session, a car, by the way, traded all the way down to 249 is the low. So going into tomorrow, I'm definitely watching day two for potential selling in Tesla. I'm watching the video below the five-day moving average. I'm watching dips on TTD. I'm watching dips on RBLX. I'm watching Amazon for any weakness trap on the 60-minute support. There's a lot of good value for tomorrow's session, but the most important part that we continue to keep an eye on is that five-day moving average on the Qs. If that gets violated, if that gets confirmed, you're gonna see another leg going lower. Guys, have a great night. God bless, and I'll see you all tomorrow.


Hello everyone, this is Alice Gao. In this short video, I'm going to talk about the two clicker questions in lecture 10s on slides 25 and 26. The purpose of these two questions are to help you practice calculating a probability over three variables using the chain rule. Here's the first question on slide 25. I've written out two ways of calculating the probability over the three variables. Let's look at them. So we want to calculate the probability of A, N, W, N, not G. Now, if you remember the chain rule, depending on the order in which we choose for these variables, we might come up with different expressions. So when we're applying the chain rule, it's really important to come up with an order that works. So which order is going to work with three variables? We have three times two times one, six possible different permutations of the variables. Well, first of all, we need to look at what information do we already have, right? Because as we know, if we choose a particular ordering, then the first variable, we need the prior probability of that variable. Then for the subsequent variables, we need the conditional probability of that variable conditioning on all the previous variables, right? So we need to have the right information for the ordering that we picked. Well, let's look at the information we already have. We only have one prior probability, the prior probability of A. So this probably means for the ordering, we need to choose A to be the first one. Then in terms of conditional probability, we have all sorts of possibilities, right? So we have W given A, we have G given A, and then we have W given A and G, and we have G given A and W. So it seems like the order of G and W does not really matter. Either way, we will have more or less the right information. So let's try both ordering. The first ordering we are going to try is A first, then W, then not G. Given this ordering, we have the following expression. So prior probability of A first, then the second one is W. So conditional probability of W given A, then the conditional probability of not G given A and W. Now we need to plug in numbers. Probability of A we have 0.1, probability of W given A we have 0.9. Now probability of not G given A and W, we don't have that. What do we do here? Well, fortunately, we have something quite similar. We have the probability of G given A and W. So if you remember your probabilities, then you might realize that the probability of G given A and W plus the probability of not G given A and W, they sum to 1. Right? This is a rule of conditional probabilities among all the world. Intuitively among all the world where A and W are both true. There are only two possibilities. One possibility is that G is true. And the other possibility is that G is false. So if we add up these two probabilities, they must sum to 1. Okay? So given this, we can derive probability of not G given A and W as 1 minus probability of G given A and W. So this gives us, multiply the numbers. This gives us the final result. For the other ordering, it's quite similar. So the other possible ordering is, again, A first, because we have to choose A first and then say not G next and finally W. Given this, we have A first, then not G given A and W given A and not G. And for these three numbers, we have two of them directly. So probability of A and probability of W given A and not G. The middle one, we don't have it directly, but we can derive it again. So the probability of not G given A is equal to 1 minus the probability of G given A, so 1 minus 0.3. And that, again, gives us the correct answer. There are two important points from this exercise. One is that, depending on the order we choose, the expression that we come up with for the chain rule might be very different and we need to choose the order based on what kind of probabilities do we have. The second important information is this rule about a conditional probability. So conditioning on a set of variables, the probability of one variable being true plus the probability of the variable being false is equal to 1. Here's the second question. This question is conceptually exactly the same as the previous question, except we have to do a little bit more calculation. So same as the previous question, there are two possible orderings that we can choose. One is not a first, then W, not W, and then not G. And the other possible ordering is not a first, and then not G, and then not W. For both orderings, we'll get the correct answer. And notice that we're doing a lot more of the one minus things in these expressions, because we need a lot of the probabilities where the variable is false and we don't have those directly. So we need to take one minus of the corresponding probabilities that we have. But other than that, the idea is exactly the same. That's everything for this video. I hope now you have a better understanding of how to use the chain rule to calculate the joint probability over a subset of the variables. Thank you for watching. I will see you in the next video. Bye for now.


This is Denver Police Department case number 2017-212-564, which is the active homicide investigation of Henry Wagner, which occurred on April 1, 2017. Mr. Wagner was shot several times. He was transported to Denver Health Medical Center, but unfortunately could not be saved. He was my husband, you know, and he meant a lot to me. At 9.21 p.m. April 1, 2017, Denver 9-1-1 received several calls from residents in the area of 6th and Olive reporting hearing shots. I ran to the back of the house to get my cell phone called 9-1-1, and that's when it all began. Denver 9-1-1, what is the address of your emergency? Yes, I'm not sure. I just heard some shots of something. I don't know. I don't know if my husband went to turn off his truck and he fell out there. Somebody shot my husband, I think. Yeah, and I don't know if he- When the first patrol officer arrived from 6th Avenue, he was traveling north down Olive. There were several cars in the driveway, including one that was running. As the officer continued north, he was able to see into the side yard and found Mr. Wagner down, right about where this basketball hoop lays now. During the investigation, we determined that the suspects most likely fled to the Southwest through the Wagner's backyard and out towards 6th Avenue. When I got to the hospital, my son was there, and at some point two people came in and told me that Henry's wounds were not survivable.  Somebody- you're talking to them one second and the next second, they're gone, you know. I can't even describe what it's done, you know. I mean, you hear about on the news every day, you hear about people getting killed, but when it actually touches you, it's a whole different thing. Mr. Wagner was known as an active member of his church. He was known to be very generous. We have not found anyone who counted themselves as his enemy, and at this point, a year into it, we are without a suspect and we are asking for the public's help. We believe that there are people in the community that know who shot Mr. Wagner. I would like for the person to pay the consequences of their actions. You know, it's senseless. It's senseless. We're asking anybody that has information about who killed Henry Wagner on April 1st, 2017 to call Crime Stoppers. Sometimes it's those small details that really are very meaningful to these investigations. Nobody deserves to die that way. Nobody deserves someone else to take their life from them.  Regardless, regardless. And so, you know, I would like justice.


What's up guys Mike the Coda here. I have not uploaded a video in a long time. I'm sorry about that I couldn't actually create a tutorial for anything, but I just want to give a good explanation And not explanation. I just want to give a quick video on a thing that I have a huge trouble with a lot I think it's the reason why I was not improving at all When you do math problems, you do do never never ever copy and paste code And I think I've said this in a previous video, but I want to be Iterated again. I think it wasn't the main focus of the video But you really don't want to copy and paste code and here's the reason why cuz like, okay so I've been doing these Cces problem sets, right, which is kind of like they're kind of They're not really basic problems. They're they're standard problems that you would probably see and Most competitive programming problems, right? So in one of the case there was this problem where it's like two nights, right? Basically your task is to count The number of ways two nights can be placed on the k by k chessboard and they do not attack each other so this problem is actually a math problem, right and The thing is that um, I Realize that if you're doing these problems, right and you actually look at the math equation and you just plug it in that's Terrible like the editorial or whatever the thing is you're not gonna learn anything because there's a whole Idea of doing these problems for math problems is to come up with the equation Right because then you're not gonna improve at all even it no matter what you're doing no matter what you're doing Whatever problem if you're going to copy and paste a code you Might as well not even submit anything might as well don't not even attempt the problem because you're not learning anything Like the thing is when you do problem sets right when you need to do these problems There was one time when I literally spent like I don't know How many how many I'd like over a hundred submissions on one of these I don't I don't know where it is But there was there was definitely somewhere. Yeah, look at this. Okay, so I had like a ton of submissions for these, right? Wasn't a hundred, but there was a lot and below literally just kept trying over and over and over again to see like Beautiful permutation, but then later on I was able to get a seed, right? That's that's the that's how you should approach these problems Try whatever the thing you can do because in the end in a contest You cannot just copy and paste code copying and pasting a code. It is a terrible idea Don't even do it in like in production side if you're have a job as like a software engineer or anything don't even copy and paste code because generally Okay When you type out code Like when you type out code, right? You generally remember the code much better when you type it out I think this is the same thing when you do like take it's kind of the same thing as taking notes For the from a textbook, right by hand you generally remember it more when you take notes by hand, but I think it's the same Similar way in that if you actually type out the other person's code You're probably more likely to remember it So if you're gonna copy and paste code might as well type it out first But generally you should not copy and paste code. You should actually read it and try to implement it yourself. So yeah That's basically the thing and there's another thing I have to say is that before you even read the editorial You have to attempt the problem as hard as you can like try literally everything Like one way you try brute forcing if that doesn't work try another thing if that doesn't work I don't know try try coming up with a math equation if that doesn't work Try using a set try using a hash map try using two-point or try using dynamic programming Try whatever it is that you need to do in order to solve the problem and in the end if you still cannot Submit anything is still can't get anything after 10 tries or 15 tries then at that point I think it's the best time to give up and look at the editorial and once you read the editorial Try implementing it yourself. Do not I repeat do not copy and paste other people's codes If you still can't implement it yourself and you've tried at least another 15 submissions Then what you should do is you should go out and read other person's code But don't copy it read the other person's code then close it way today You probably forget the code try to implementing it yourself after another 10 to 15 submissions sooner later You will get a seed and that's just that's just how I think of it. It should You should in total maybe you should take like I don't know 50 submissions Like at worst at worst 50 submissions Ideally you shouldn't take like 50 submissions and I don't mean just like changing a tiny thing and then submitting it over and over again I don't mean by that they actually try like 15 different time different ways to try approach a result because you might be surprised I may be some way you solve the problem and in one way It's not actually the same same as how the solution solved it and maybe your way is better You know, maybe maybe there's ways worse than yours or maybe there was better than yours And then after you solve the problem you looked at it and like wow I could have done it this way instead. So that's the good thing about Why you should never copy and paste code. Just don't don't copy and paste code It's not good for you and even production side If you don't understand what you're copying pasting then what's the point, right? If you just copy and paste maybe you should register write a method or something another function Maybe a new class right in the production wise side. Maybe that's better, but never ever copy and paste code This is just my tip, but anyway, right comment subscribe. I hope you guys enjoyed this video. I Pretty busy right now, but yeah peace


becoming a good reviewer might not be what you expected to be one of the most important facets of your academic career. But in many ways it is. Without reviewers who devote some of their free time into peer review of other papers from researchers from around the world, we might not have such a high standard in science that we now have. In fact, some of the most accomplished researchers claim to attempt to review at least two or three times as many papers as they themselves publish. To give back to the community, but also to ensure that the research standard in their field remains high. If you're just starting out in your academic career as a PhD student in your late stages or perhaps an early career postdoc, you might be wondering how do I become a peer reviewer? How do editors even pick me? Well, one thing you can do is educate yourself.


Yes, Mr. Mayor. Yes, Mr. Mayor. I want to thank you for your very fine statement that you made so proper. Thank you, Mayor. We're doing everything we can. We're having very heavy rainstorms hitting the island. It's preventing any disorder in the present time. We've been through these situations before. Anybody good? Have a great conference. And you know, I know that the guy calling me is King. I would witness King if he called me. Well, you've done a great job there, ain't I? Let me know anything, any suggestions you have. We have a little problem in Durham. And we have one here in Washington. They're moving around. We don't know the extent of it. We don't know how serious it's going to be. But they have two or three thousand people together. It was due to not, I'm a little early in the morning, but I decided I'd wait until the morning to take a look at it and see what you do. Do you have any suggestions or anything else that I ought to? I think I'm taking exactly the right steps, and I'm following the same pattern here, so I'm just delighted that you're running the show. Well, you're a wonderful call, man. Just stay in touch with me, and please know that I'm very grateful for your whole attitude. I hated to hear that news last Sunday night, but you're a great man. Thank you so much, Mayor. I look forward to seeing you. Here she is. Let's say we're done. Mayor Allen. Mayor Johnson, how are you? Oh, troubled and sad, but God bless those who keep on striving and trying, and you're sure among them. Thank you, Mayor, and we're certainly proud of the President and his statement last Sunday night with just Mike Nipson. He's a great man. I'm so grateful that he made the statement that he made, and he's exactly the right thing. I'm trying to follow the same course here, and I hope everything feels right. Thank you. Thank you, and for many things. Thank you, Mayor. Good night.


Now we look at the Bio-Savart law. Now Bio and Savart were two scientists who were looking at the source of the magnetic field. And experiments showed that electric currents can create magnetic fields. But it depended on a few things. It depended on how much current you had, depended on how far away you were from that current, and it also depended on other geometry factors. Now the Bio-Savart equation is kind of complicated. So let's take a few minutes here to sort of break this down. First off, we have the current I. We know that the magnetic field from a current has to depend on how much current we have, so that's our I in the equation. All of this stuff over here with the integral, well that describes our geometry and our distance. And this little guy over here is our magnetic constant. Let's look at that a little bit more closely. So this magnetic constant, well it's given this symbol here, and that's actually the Greek letter mu with a subscript of zero, so that's a mu naught. And its name is the permeability of free space. As a value, this is a constant 4 pi times 10 to the minus seventh tesla meter per amp. You could also multiply that 4 pi out, and you could write mu naught as 1.257 e to the minus 6 tesla meter per amp. Now you remember we had an epsilon knot back from electrostatics, which was the permittivity of free space. And epsilon naught and mu naught together are related to the speed of light. So now back to our equation, and let's focus in now on the side where we're talking about geometry and distance. To help explain this a little bit clearer, let's actually give ourselves a diagram. So imagine you've got some wire. It can be curvy, it could be straight, whatever, out in space. And we want to find the magnetic field at some other point in space separated from that wire. Well the ds part of our integral over here stands for a line segment. And we're going to have little line segments all up and down this wire. And notice that each one of these little line segments is the same length, but they could point in different directions. Now the R here on the bottom represents the distance. And it's specifically the distance from a line segment to the point P in space. And again each different little line segment may have a different distance from that segment to our point in space. The R hat part here is a radial direction, and the hat lets us know that it's a unit vector. So it points in the same direction as this radial distance, but it's only indicating the direction, it doesn't go all the way there. And again each point along our line may have a different R hat radial direction being shown. Now the top part of this integral here is a cross product. And it's the cross product between these two vectors for the line segment and the radial distance. So when you take that cross product that also helps determine the direction of the magnetic field. We can do that for each individual segment, but the integral tells us that what we really want to do is we want to sum up the contributions over all of those different line segments. And that will give us the overall magnetic field at our point P out in space. So while the equation itself is a little bit complicated, it helps to break it down into things that we can understand from a picture of geometry. Now let's take a look at the equation from the standpoint of units. Well we said our mu naught had a constant of Tesla meter per amp. Current we know has units of amps. 4 pi doesn't have any units. The ds part of our integral has units of meters while the R squared part has meters squared. And my R hat, you might think it's meters but it's a unit vector so again no units there. So once we've collected all these together what we see is that we have an amp on the bottom and the top of the equation which are going to cancel each other out. And then I've got two meters on the top and a meter squared on the bottom which will also cancel each other out. So everything from my right hand side all I've got left is Tesla, which is the unit I expect for the magnetic field. So every time we've got a current carrying wire we're going to end up having something of this form which ends up having a units of Tesla. So that's the end of our introduction to the Biosovart law.