Going on everyone Sam here with latent sports cards from a 23 tops in museum collection baseball hobby six-box half case break number three pick your Team style read up lists for names their teams and race with the Rangers Anthony P. Giants Brandon L. Dodgers Brian C. Padres Craig B. Rockies Dikey oh with the Pirates David. Oh red Sox Don L. White Sox Dustin D. Orioles Gavin K Astros Jeremy S. Cardinals Jerry B. Metz Joshua B. Athletics Christopher W. With the Braves Larry P. Tigers Mark L. With the Angels Matthew S. Phillies Michael Y. Yanks Nate S. Nationals Nick C. With the D-backs Nick B. Twins Paul B. Royals Poshon H. Marlins Raymond R. Cubs Blue Jays Richard H. Reds Russell G. Brewers Theodore H. Guardians Timothy M. Mariner's Race So good luck everybody. Let's get started a shams with a mega dual case spot Thank you buddy down to 18 to go on that now Christopher A. Also with a spot number eight Um Carl you said Joe holiday I Play I have a I have a four game or four leg parlay with holiday Joe holiday over 15 and a half I think which I think is a good little good little bet All right. Good luck everybody. God. I'm so freaking excited to rip some museum two case hits Per case this time. So it's either you get to really two of either the frame the jumbo patch auto or a booklet That's really solid. Really awesome. Yeah, that's very excited about that for sure All right, you do all right. Good luck everybody here. We go Oswald Parasa. I already like it I'm see her clean kershaw on card auto to 199 Barry Larkin for the Reds nice one. They're sincey Good start. Congrats Reds. Oh How's it going Cedric Mullins? This guy out of here man Guys losing it guys already losing it think I've rippin Forest is distracted 20 boxes of hoops today. I want to get fair far away from here fair Bobby, which here Kyle Tucker that's von Grissom rookie We've got a jersey of doogie meaningful material to 25 Alex for do go need hoops super jumbo to come out now This is honest. God Zach cranky to 299. They're got all the box That actually wouldn't be bad. I'd be okay with that, but Russell Westbrook signing in hoops this year for the first time since oh nine Donovan Mitchell for the first time since Yeah Yeah Alex Schroder is he in it really And hoops Masatake your sheet of rookie and it looks for Tim Duncan can't vis prep baby looking for Tim Duncan fair That's very fair deal hall that is game used Jersey to 75 on the quad. I swung their Orioles on the Primary pieces and then a purple mr. Bo the shet 18 of 99 or 80 of 99 Yes, exactly crystal ball exactly Vera Goldie, we've got a Jeff McNeil signature swatches 192 out of 299 the flying squirrel Jersey auto I swung there for the Mets Grats on that you there. Thank you there mr. M stats selling us out on the first division case of NT and taking the division in a second Anthony Volpe on the Are we just doing Unless there's like a there's one to like 10. Yeah, all right off. We continue everybody good luck off. We continue. Yes You don't It's too early for this don't wear it out That is canvas collection. No one will bow jackson fair. It's nice one there. We've got a torkelson to 25 Mr. Torkelson to 25 and Matt McLean 20 of 50 rookie for the Reds Congrats since he nice one there Adam G with a mega do okay spa. Thank you, mr. Adam. Yeah, I got your crystal drop your links to the break schedule right now There is the break schedule and there are also now in number Five right 4-5-6-7 to go in number five Yeah, museum seven to go on museum number five Hurricanes pre-salves here in basketball Yeah, I think they're decent Bobby Miller that is Spencer Strider on card auto to 299 for the braves And Dominic Fletcher Ron's room. Yeah, Donnie the enforcer Oilers, oh Yeah, apparently me me Gretzky and somebody else are gonna have a mc. David. Yeah, Peter Lonzo Got oh nice one here. That is gonna be mookie bets Mike trout Ronald Cunha j-rod I'm assuming this will be random. Let me double-check, but Again, if you own three of the four teams, you will get it. It's gonna be Dodgers angels Angels are mark L Brandon L with the angels braves is Christopher W and then yeah mariners is somebody else as well. That is Timothy M So yeah, that'll be a random to those four teams very nice one there That is number 275 on the quad and check up the grom on the copper And wait till they make this for Yeah, top three Sam football. I freaking love that stuff. Oh, we got a little bit True Matt McLean Tim Anderson, hey, that is code. I send God a 50 nice one there congrats on that Metz Yeah, I know Yep, pretty much Let's go He's not actually not yet at least Some tiger of some sort oh even better Like Yeah, Adley rookie Boba Shett that is O'Neill Cruz the 50 game use Jersey nice one there for the pirates I did not actually Milan and to 299 Bob Gibson for the Cardinals Vladdie jr. Two. I don't know why it's on top to 299 interesting Francisco Alvarez rookie Hank Aaron nice to 15 Jose Berrios on the momentous Of Cortes by Cortes by everything's leaving congrats on that one. They're blue jays To 150 Matt McLean Those are cool, yeah max monseat of 15 15 of 15 nice one Dodgers That's on that one and Mike piazza Joden Jordan foes Bose By Cortes 50 of 99 is a quad for the Stroze that is gonna be bregman al-tube peña and Jordan to 99 you're done I am nice one there and a purple Bryce Harper to 9 to 9 for the good old Phillies Next box here we go Sam and Donnie a happy Thanksgiving hit the like button Yeah Do it do it do it Josh young rookie that is gonna be Christopher Morell meaningful material to 25 for about 25 nice one there All right, we've got Jeffrey H with a couple of mosaics Jeffrey H with a mega dual-case spot as well Ed with the Phillies in number five. Thank you, buddy Oh, that's nasty that is nasty Mike J with a spot number eight. Thank you, buddy Corey seager O'Neill cruise ziki look to va that is a drew waters to 199 rookie on card auto And Louisa rise to 299 for the Marlins Wow. Yes, it is. Wow Let's go dance be swanson on the bronze It is Jram, it is Johnny bench one of five for the reds. Congrats on that That's sweet. Yeah, the black frame. I love it, dude Silver ink congrats on that since he so black is out of five silvers out of 25 Yeah, that makes sense. Is any one-on-one frames or no, I haven't seen one. Yeah, I would think that there is One of five Get that into a Mac and grads on that one there Cincinnati reds Actually reds are doing pretty well actually That is Richard H good stuff Richard Reds are very slept on team for $80 in this in a half case very slept on Show hey Chapman that is a Louisa rise for the Marlins Canvas collection and Bobby Daldeck 33 of 35 for the Red Sox chiefs and royals in the brakes. They're honestly That'd be pretty funny On to the next one see what we've got that booklet to Or yes, it is yes, it is Yep Jordan Walker to 299 nice one there for the Cadnals Jordan Walker rookie Shwaba verlander. Oh, that's gonna be nasty. That is Jeremy Pena and who's out today four or five Hell yeah, man congrats on that Astros one of the last teams today I think they were the last team taken was Houston That is gonna be Gavin K. Let's go Gavin. Good stuff, buddy Yeah, Pena and out do they Little like semi-circles. Yeah, that's clean man. Good stuff Hell yeah, let's go Gavin Gavin again took the last spot on the break, too I know Do you want me to hang on? Now you can Trash can rally can stead honestly O'Neill cruise Z kill Tovar. That is a straight man. See me Jersey Jersey bad auto for the Cubs. Let's go Gavin Gavin and check congrats, buddy. All right Well, I was gonna say happy Thanksgiving, but never mind Couple tubs Against the bots. It's still giving you pot lobbies Full team and he was just using the plunger and just running away Ryan Howard on the auto to 25 except my gun extra hit in this Nice one there for the Phillies and a hunter-brown 28th of 99 Jersey for it the Astros again This is the last team mojo Gavin people like lantern up on Kyle Raleigh fingers Gotcha It's not bad man to 150 on the blue is Albert pools Josh young rookie Roger Clemens or Ricky Henderson Nice one there and the nice one here to 299 Edgar Martinez be going to the Mariners congrats Seattle Congrats. Yeah, who's top one for you?  That's Harper, right? Yes, Brace Harper and a I'll do a pain you dual again to 25 Astros are good in this man Plus I have Craig BGO So that's it. That's a reason to buy the Astros That's your guy, right? Oh, yeah. I Knew it's one of the bees but they always forget which one Brandon Nemo finding Nemo cut Ryan Gunner rookie and base auto hunter green 20 of 20. I swung there Congrats Reds. He is short in his autograph. Unfortunately He's the most gorgeous auto last year Gonna get a hundred green I don't know Carl Sam be biased. No, what never what never ever seen that happen Okay, Gabriel burrito to 299 Yeah, they were gone really quickly Aaron judge. That is Riley green rookie Jersey to 99 for the Tigers Congrats on that one there again at Detroit Riley at green Riley green. Who's the chase in series 2 um I Asked No, I thought I usually I would um, I think it might have been Think it was Adley and Gunner were in series one. It might be like Walker and Volpe Okay, they might have been serious. I forget who exact Gorman. I think was series 2. Okay Walker and Volpe are these series one or series I don't remember off the top of my head But Adley and Gunner were like the main chase and Carol or the main chase. Yeah, there's one Aaron judge was Corbin serious to the vitamin series. I don't know. Oh nice speaking of Gunner Henderson. There he is to 299 There we go. Congrats Orioles. Let's go man There we go. Baltimore 218 out of 299 and get that into a mag for you Baltimore and Christian Yellich to 199 the signature swatches gave you Jersey auto for the brew crew That's a little two hit box there again All right, let's do this quick random really quick this quick random really quick that is redundant I was gonna say the department of redundancy department. I was gonna say it but you already did it for me Because I worked for the department of the redundancy department I see quad patch Dodges All right, everybody again doing the random for the quad patch mookie bets with the Dodgers Mike trout angels j rod with the mariners and then a Kunya with the Braves Roll the ice whatever teams on top after three times. I'll get the card one Two and three going to the Braves. Congrats. Bravo's very nice capturing Bravo I've seen that coming Oh, yeah, you get kind yet. I did Not surprised. I did very fun. Uh, so congrats Braves. Very nice Keep uh, let's do a quick recap now. Everybody start with our relics. We've got Riley Greene Duel of Altuve and Pena Hunter Brown Jersey a Bobby Dahlback. We've got Christopher Morel Quad for the Astros that is Altuve Pena Yordan and Bregman O'Neill Cruz Codaisenga Spencer Torkelson DL Hall and Alex Verdugo Autos we had a hunter green Change hat Uh, that's that's pretty funny right Howard true waters. Uh, Max Muncie to 15 a Spencer Strider Barry Larkin, uh, that is Jeff McNeil. We've got Jose Berrios a trey mancini and Christian Yelich We had the booklet of Pena and Altuve to five We had a gunner Henderson rookie auto to 299 for the Orioles and then a johnny bench black frame one of five for the Reds Let's do it for the break everybody. Thanks again for the film up next is number four


The SID Solutions Forum is bringing together current innovative solutions that focus on increasing connectivity and knowledge sharing in agriculture, food, nutrition, environment, and health. In the Pacific Islands, agriculture and fisheries play a vital role in supporting economic growth, capturing agricultural and fisheries data right at the source from the supplier, then tracking it on a digital platform through the processing phase and all the way to the point of distribution in helping to modernize and transform our food systems. E-commerce platforms, combined with delivery services, provide farmers with access to new markets. Training how to trade online and taking up other digital tools brings small-scale agricultural producers to a new level. Making concerns of one nation's health prompted the development of a mobile app that tracks dietary intake on a daily basis, creates culturally familiar recipes, and provides planting steps that guide organic home gardening. This hot-air dryer is an innovation that comes from a region where farmers cannot readily rely on electricity and have limited access to transport. The technology fulfills farmers' consumption needs, helps to produce a surplus, and extends value chains to urban centers and between islands. A lack of waste management policies on some islands leads to a lot of plastic ending up in the sea, but it also has the potential to be reused or recycled. The innovator works with local communities to recycle plastic waste into useful products. By incentivizing recycling, we can change islanders' attitudes to plastic waste through recapturing its value as a resource. The Pacific Islands are extremely vulnerable to external shocks, such as the current global pandemic, and we are counting on solutions to slow down the spread of COVID-19. A contact tracing system that is based on a QR code ensures that all visitors and residents on this island participate in contact tracing without requiring any smart device. On the larger scale, SIDS have access to an open-source platform that collects real-time data on health, education, and environment. It allows to facilitate data collection in remote areas and improves disaster response, daily decision-making, and work planning.


Today, we're going to look at three plays in the Houston ball game by A.J. Brown, who's having a tremendous rookie year, and watch the magic that he and Ryan Tannehill are creating for the Titans offense. First play we're going to look at, A.J. comes across in motion. Now, we've got two tight double stacks here on the outside. We're in man-to-man defense with the Texas. They roll down to a short hole robber, and the robber is going to double A.J. Brown. Tannehill is in such sync with this rookie receiver. He sees immediately that they're doubling. So he holds the ball, does not panic in the pocket, is able to manipulate and buy time. As A.J. comes across the field, raises his hand. He's now got the cornerback trailing him in a tailpipe position. Perfect throw on the run, right where he can catch it. Up the sideline, touchdown Titans. Our second play is in the second quarter.  He's put Marcus Mariota in the ballgame. This is Ryan Tannehill up here at the top. The Houston Texans have gone to a default zone defense. They're now playing quarters coverage. Watch the three linebackers in the second level position. Watch how hard they fight on the play action to Henry. You're going to see a huge area open up right here between the second level and the safeties in the corners playing quarters coverage back here. Nice route up here by A.J. Brown. Starts to move like he's taking off, sticks his foot in the ground, comes across on a deep slant. Perfect throw by Marcus Mariota right out in front of him. This is the catch that put A.J. Brown over 1,000 yards receiving in his rookie year for the Tennessee Titans. Our final play we're going to look at today. This play by next-gen stats was deemed the most improbable throw and catch in the National Football League this year. 6.2 percent chance of completion. We get motion back to a tight trip. You can see up here at the top A.J. Brown is in a cut split. Ryan Tannehill makes a run fake, stays right on the railroad tracks. You've now got both safeties double covering A.J. Brown, 47 yards down the field. This is a magnificent, magnificent play by Ryan Tannehill, A.J. Brown, the offensive front. This play right here just about put an exclamation point on A.J. Brown's day.


A warm welcome to the 19th session of the second module in the course Signals and Systems. We have seen in the previous session how we can decompose a periodic waveform into its complex exponential components as opposed to sinusoidal components. There we saw how we could go from the sinusoidal components to the complex exponential components. Now we shall do the converse. How do we go from the complex exponential components to the sinusoidal components? So, one thing is to be noted. Let me in fact make that point clear by reviewing what we did towards the end of the previous session. You will recall that we had already identified if xt is periodic period t. You will notice I am writing this again and again just to put the context in clarity and we have a sinusoidal decomposition. So, as I said we will separate k equal to 1 to infinity and k equal to 0. You know you do not really need to write a 0 cos phi 0 though that is of course a consequence of the expression. You can simply call it a 0. You can always modify phi 0 accordingly you see. So, this can now be decomposed.  Now, notice as I said that this is equal to c k for k positive and this is equal to c k for k negative and notice that for k positive and k negative the corresponding k positive and k negative you have complex conjugates let us look at it. So, if you look at this take the corresponding k here, here and here. If you take the corresponding k you have complex conjugates there. So, we will write this down formally c k is equal to c minus k complex conjugate for k going from 1 towards infinity and of course c 0 is you know it is real and in fact it is expected to be whatever it is essentially an average and that is equal to a 0 actually. So, this is true if x t is real and that is what we have assumed when we made a sinusoidal decomposition as assumed, but this is where we want to be a little more general now. We do not want to confine ourselves to real wave forms in which case this can be violated. So, c k may not be equal to c of minus k complex conjugate if x t is not real let us write that down clearly. So, will be violated if x t is not real complex and not real you see take the very trivial example of one single complex exponential. If you have one single complex exponential rotating with a period of t, you need to take only one term in this complex exponential expansion corresponding to that particular angular frequency of rotation and all the terms are absent that is an very simple example of a complex signal which does not have a sinusoidal decomposition. Now, how do we go from the complex exponential decomposition back to the sinusoidal decomposition? So, let us look at that complex exponential decomposition to the sinusoidal decomposition for real x t very easy right x t you have assumed it to be real of course in the form of summation k going from 1 to infinity c k e raise the power j 2 pi by t same summation but with minus k instead of k and c 0 and c 0 has to be real as average is real you know how to calculate c 0. c 0 is essentially 1 by t integrate x t d t over an interval of t. Now, we know what to expect for c k and c minus k. So, you know that these are complex conjugates and therefore, let us take them together. So, x t is c 0 plus summation k going from 1 to infinity c k e raise the power j 2 pi by t k t plus c k complex conjugate and the complex conjugate of that rotating phasor 2. So, you will notice that this is essentially the complex conjugate of the whole term. So, we have a sum of two complex conjugates when you have a sum of two complex conjugates it gives you essentially two times the real part of any one of them. So, let us write that down. Now, how do we write down the real part? So, real part is essentially the real part where you write c k in polar form here you have written c k in polar form magnitude and angle and that gives you mod c k cos 2 pi by t k t plus phi k where phi k is essentially the angle angle of c k. So, overall what we have is x t is then c 0 plus summation k going from 1 to infinity 2 times mod c k cos 2 pi by t and here essentially we have a sinusoidal decomposition. So, essentially here a k is 2 mod c k and phi k is of course, as it is. Now, once you have so you know it is very clear for a real signal you can go from the sinusoidal decomposition to the complex exponential decomposition and you can go back from the complex exponential decomposition to the sinusoidal decomposition very simple. So, I do not need to illustrate these separately is that right? We have already taken a few examples what I would encourage you to do as an exercise is to take the same examples decompose them using the complex exponential decomposition by the formulae that we have written and then go back to a sinusoidal decomposition and verify that they are the same just to satisfy yourself that would be a consider. Let me just take an example. So, what I am saying for example is you could take for example the square wave. So, exercise decompose the square wave take the let us take an asymmetric square wave for variety and let us take only a part of the cycle to be present from 0 to t 1 into its sinusoidal. So, this is the periodic. So, of course this is of this is x of t shown between 0 and t, but x of t plus t is equal to x of t for all t decompose it into its complex exponential components and its sinusoidal components go one from the other as discussed and verify this is the exercise I would recommend you do to understand these two decompositions very well. Thank you. We will see more in the next session.


Hello everybody, myself Dr. Sunil Lathain Kulkarni, Assistant Professor, Department of Mechanical Engineering, Vulture Institute of Technology, Solapur. In continuation to my previous video session on methods of Terip, today I am going to conduct a video session on some numerical problems on Terip methods. Let us see at the end of this session, student will be able to solve the numerical problems on Terip, that is nothing but charging for electricity to the consumer. The contents of the video session are some numerical problems on Terip. Now let us see the first problem. In problem one, it is given that a consumer has a maximum demand of 200 kW at 40% load factor. So maximum demand is given as 200 kW and load factor is 0.4. If the Terip is Rs 100 per kW of maximum demand plus 10 per kWh, find the overall cost per kWh. So we need to find out per kWh what is the charges of electrical energy solution. Let us see now. Now here the term load factor is given. What is load factor? We have discussed earlier. Let us think for a while and how we can write the equation for load factor. So we know that load factor is equal to average load upon peak load. So by using this definition, we can calculate the average load by multiplying the load factor with the peak demand. And by using the same, we can also find out the electrical energy that is produced. Therefore the units consumed per year will be equal to maximum demand that is 200 kW into load factor 0.4 into hours in the year. Now this is annual load factor we are considering. So 200 into 0.4 load factor into hours in the year is 8760. So this we get as the units consumed in a year. Now we can calculate the annual charges by using the given tariff N, the annual maximum demand charges which will be equal to Rs 100 per maximum demand into 200 kW plus it is given in the problem Rs 100 per kW of maximum demand plus 10 paise per kWh. Now we have calculated total number of units generated therefore the tariff will be equal to Rs 100 per maximum demand into 200 kW plus 0.1 rupees into total number of units generated. So the annual charges comes out to be Rs 90,080 rupees and when we divide by total number of units generated that is 7,800, we get the overall cost per unit of electrical energy as Rs 1 to 85 that is 12 rupees and 85 paise. Now let us see now the second problem. In this problem it is given that the maximum demand of a consumer is 20 ampere at 220 volts and its total energy consumption is 8760 kWh. If the energy is charged at the rate of 20 paise per unit for 500 hours use of the maximum demand plus per annum plus 10 paise per unit for additional units calculate annual bill and equivalent flat rate. Now for this particular maximum demand we will assume that the load factor and power factor to be in unity therefore the maximum demand will be equal to V into I 220 into 20 ampere 220 volts into 20 ampere that is V into I power factor we are assuming 1. So it will be equal to and we are dividing by 1000 to get it into the kW. So 220 into 20 that will divide by 1000 will be 4.4 kW. Now units consumed in 500 hours will be equal to because it is given that okay the total consumption is 8760 and for first 500 hours the charges are 20 paise and for remaining it is 10 paise for additional unit. Therefore the units consumed in for 500 hours will be 4.4 into 500 it will be equal to 2200 kWh. Therefore the charges for 2200 kWh will be equal to 20 paise so rupees 0.2 into 2200 so rupees 440 and now the remaining units will be 8760 total units minus the first 500 hours units are 2200 so it comes out to be 6560 kWh and for these units the tariff is given as 0.1 rupees that is 10 paise per unit. So charges for 6560 kWh units will be 0.1 into 6560 it comes out to be 656. Therefore total annual bill will be equal to charges for these units 440 rupees plus charges for 6560 that is 656 so it comes out to be rupees 1096 rupees. So equivalent flat rate if we want to calculate it will be equal to total annual bill divided by total number of units so 1096 divided by 8760 so it comes out to be rupees 125 that is 12.5 paise. Now let us see the third problem the following two parts tariffs are offered rupees 100 plus 50 paise per unit and a flat rate of 30 paise per unit so at what consumption the first tariff is economical. Now for this problem let us assume that x be the number of units at which the charges due to both tariffs will be equal. So at x number of units both the tariffs will have the same charges so first tariff we can write it as rupees 100 plus number of units are x into 15 paise means 0.15 rupees so 100 plus 0.15 into x is equal to flat rate of 30 paise per unit so 0.3 into x okay converting into rupees. So by solving this we get 0.3 x minus 0.15 x will be 0.15 x is equal to 100 so x will be equal to 100 by 0.15 so it will be equal to 666.67 units so at this particular number of units okay the first tariff will be economical. Now let us come to the another problem a supply is offered on the basis of fixed charges of rupees 30 per annum plus 3 paise per unit or alternatively at rate of 6 paise per unit for the first 400 units per annum and 5 paise per unit for all the additional unit. Find the number of units taken per annum for which the cost under the two tariff becomes same okay. So here there are two tariff methods which are given and we want to find out the number of units okay number of units per year for which the cost under the two tariffs will be same. Now let us assume let x be the greater than 400 units okay because be the number of units taken per annum for which the annual charges due to both tariffs become equal. So annual charges due to first tariff will be equal to rupees 30 plus 3 paise means 0.03 into x these are the annual charges for first tariff. Now annual charges due to second tariff will be equal to second tariff is given as just we can have once again here have the loop and second tariff is at the rate of 6 paise per unit for first 400 units per annum okay for first 400 6 paise and for additional unit 5 paise. So for second tariff we can write it as for first 400 units 6 paise means 0.06 rupees plus x are the number of units above 400 so x minus 400 into 5 paise. So second tariff equation we get as rupees 4 rupees 4 plus 0.05 into x after simplifying this term. So as the charges in both cases are to be equal we can write the first tariff equation is 30 plus 0.03 into x is equal to 4 plus 0.05 into x therefore x will be equal to if you simplify this okay x will be equal to 30 minus 4 divided by 0.05 minus 0.03. So number of units to be taken are coming to be x is equal to 1300 kilowatt hour this is the number of units to be taken per annum for which the charges will become equal. So these are the references thank you.