Once again, I welcome you all to MSP lecture series on interpretive spectroscopy. This is the fourth lecture in the series. In my previous lecture, I started discussion on chemical shifts. The signals, we call it as chemical shifts.  In NMR spectrum, we get NMR signals. What these signals say about the molecule? So that means the number of signals shows how many different kinds of protons are present and then the location of the signals shows how shielded or deshielded. This is very, very important information. And then the intensity of the signals show the number of protons of that type. So one is different type of signals and where they are appearing and then how many protons are there in each signal. And then the signal splitting, you know, what is the splitting pattern, whether two lines are there, three lines are there or four lines are there, one line is there. So this signal splitting shows the number of protons on adjacent autumn. That means how they are connected. As I mentioned in case of ethanol, we have CH3, CH2, OH. And all these points will tell you where CH3 is located, where CH2 is located, where OH is located and then how many different type of hydrogen atoms are there and each one, how many are there hydrogen atoms and where they are appearing. And then the splitting would tell you whether CH3 is close to this one, something like this. So all this information, again, comes very nicely without compromising whatever the information we get from the bonding concept, okay, valence bond theory or molecular orbit theory, whatever we get, exactly in the same way it proves the presence of these signals, these groups that appropriate place. So this is where the importance of NMR comes, okay, in characterizing molecules. So we call these signals as chemical shifts, they are measured in parts per million and ratio of shift down from TMS to total spectrometer frequency in hertz will give you parts per million in PPM. And then as I mentioned, so this is when we measure chemical shifts in parts per million, this is independent of magnetic field strength. That means whether you measure chemical shifts at 60 MHz, 100 MHz, 300 MHz or 500 MHz or even in 1000 MHz, the value remains same as far as denoted these chemical shifts in parts per million. So then we use the scale called delta scale. So for when we measure in parts per million, we use delta scale and then just make you familiar with chemical shift terms. I am going back again to the basics what I discussed in my first lecture. So this one, induction of opposite magnetic field. So if you just see here, M equals plus half, orientation of nucleus, orientation of nucleus is like this. And then precision of electron density, so precision of electron density surrounding this proton and induced magnetic field, induced magnetic field due to circulation of electron density opposing here, opposing the applied magnetic field strength. So that means applied magnetic field will cause the electron to persist about B naught which in turn causes circulation of electron density and a generation of a small magnetic field B i. You can see here, this is B i here in green one I have shown. So as per Lenz law, the direction of an induced current is such as to oppose the cause of producing it. So because of which it induced current that would always oppose the root cause of that one. Hence direction of B i is always opposed to the applied magnetic field. Now the net magnetic field experienced by the nucleus is B net equals B naught minus B i. So the magnetic field experienced by the nucleus is less than the applied magnetic field and hence a lower frequency. Now in order to cause transition, you have to apply a less frequency in a direction perpendicular to applied magnetic field. So whatever you are applying here. So that means the electron density surrounding the nucleus produces a shift to lower frequency. So as a result what happens? You can compensate whatever the loss by reinforcing this one so that you can keep the normal frequency constant or you have to bring down the magnetic field strength of the B 1 that applied orthogonal to B naught that should corresponds to now the present frequency. So this is where the terms low frequency, high frequency, low field shift or field shift all those things comes into picture. So that means this can also be represented by B net, net magnetic field experienced by the nucleus B naught into 1 minus sigma. Here sigma is referred to as the shielding constant. So if we keep the Larmor frequency constant we need to increase the magnitude of B naught to achieve resonance as I said. So equivalent to whatever B i is there, whatever is there corresponding to that one you have to apply. So that B naught is strength and now to neutralize whatever the effect of this one. It is called up field or higher field shift, that is the reason it is called up field or higher field strength or also called diamagnetic shift. Why we are using term diamagnetic later we will be coming with another term called paramagnetic. So diamagnetic shielding and paramagnetic shielding will come. So as a result of diamagnetic shift all signals will be shifted to lower frequency. So whereas de-shielding is referred to as down field, lower field or paramagnetic shift all shift to higher frequency where the induced magnetic field will be reinforcing the applied magnetic field. In that case what happens, net magnetic field experienced by the nucleus will be much more than the magnitude of B naught. So that is called paramagnetic shift or paramagnetic de-shielding shift. So the extent of magnetic shift is determined by the amount of electron density surrounding this nucleus. These points are very very important, these three points I have shown here. The extent of diamagnetic shift is determined by the amount of electron surrounding the nucleus, the ease with which electron density can circulate about B naught and the magnitude of B naught. That means the amount of electron surrounding the nucleus and also the ease with which electron density can circulate about B naught. That means how many electrons are there in the valence shell, whether they are spherically symmetrical or unsymmetrical field and also the magnitude of B naught. At constant B naught the shift is dependent only on the amount of electron density and the symmetry of the electron density. It is not only the magnitude of the electron density, the symmetry of the electron density is also very very important in generating opposite field or applied field, in generating diamagnetic shielding or paramagnetic de-shielding. Let us consider 13 C nucleus here I equals half. Here nucleus is surrounded by 1 S 2, 2 S 2 and 2 P 2 electrons. The valence shell in case of carbon we have 2 S 2 and 2 P 2, so 6 electrons are there. So that means here compared to 1 H the electron density is more and hence the magnitude of induced BI will also be greater. So if you compare the nucleus of hydrogen kept in the magnetic field and 13 C nucleus kept in the magnetic field in both will be generating induced magnetic field. The magnitude of the induced magnetic field generated by carbon is much more than that of hydrogen because their electron density is on the 1 S 1 whereas here we have 2 S 2, 2 P 2. So now the electron density surrounding the hydrogen is spherically symmetric whereas in case of 13 C electron density is due to 1 S 2, 2 S 2 symmetric but the same due to 2 P 2 is not spherically symmetric. So this is important that means in case of 1 H still we have 1 electron is there and then the 1 S orbital is symmetrical, spherical as a result what happens the electron density is spherically symmetric whereas in case of 13 C. So electron density due to 1 S 2 and 2 S 2 is spherically symmetric whereas that of 2 P 2 is not spherically symmetric. So only way to obtain spherically symmetry is by having 1 S 2, 2 S 2 and 2 P 6. So that electron density is equal in all the 3 axis if you imagine P x, P y, P z are orthogonal to each other if all of them are completely filled then you can have electron density equal in all the directions x and y and z direction as a result probably there will be spherical symmetry that means we are talking about C 4 minus ion if not with electronic configuration of 1 S 2, 2 S 2, 2 P 6, 2 P 2 it is not spherically symmetric and it is very different from that of 1 H generated induced magnetic field here it is there. So I can write here this is called whatever the reference is there right side whatever it comes low frequency of field shift and then higher field high field and shielded shielding. So here high frequency because in this case what happens it is reinforcing so it is high frequency shift and this is low field shift and high field is low field shift and then shielding de-shielding. So this is how we designate with respect to reference here. So that means the lack of spherical symmetry for the electron density surrounding the 13C nucleus results in diminished circulation of electron density and hence lower bi. So that means if the spherical symmetry is not there the induced magnetic field would be having a small value as a result what happens the shielding effect is minimum. I read again the lack of spherical symmetry for the electron density surrounding the nucleus 13C nucleus results in diminished circulation of electron density and hence lower bi value. So thus shielding constant sigma can be divided into so that means after considering the nature of the electron density whether it is spherically symmetric or unsymmetric the sigma the term can be divided into two components sigma D diamagnetic shielding and sigma P paramagnetic de-shielding. So this one can be divided into two that means basically it is a combination of sigma D and sigma P where sigma D is diamagnetic shielding and sigma P is paramagnetic de-shielding. The sigma D results from the unhindered circulation of electron density which produces bi opposes b0 and hence is always positive that results in shielding. So that means sigma D results from the unhindered circulation of electron density unhindered circulation of electron density happens when it is spherically symmetric which produces bi and that always opposes b0 and it always positive then the net effect is shielding. So sigma P results from the hindered circulation of electron density when the electron density is unsymmetric then we that results in hindered circulation of electron density under the influence of magnetic field b0 which produces bi aligned with b0 or reinforces b0. So in this case what happens in this case if this is b okay b will be like this bi whereas in this case this is applied so in this case this will also be like this bi. So net is b0 plus bi so this is always negative so that means the shielding constant is the sum of sigma D total effect of sigma D and sigma P at a given time whichever is dominating would decide whether the signal is shielded or de-shielded. So now let us consider two examples of H2 and F2 ideal examples to look into these aspects sigma D and sigma P components in total screening constant shielding constant. So now if you just take diatomic species and applied magnetic field you can have all possible orientations of this diatomic species but you can consider the average of all possible orientations that falls into two categories one is perpendicular to the applied magnetic field one is parallel to the applied magnetic field so that I have shown here. So this one a diameter molecule with orientation in perpendicular here and then in this one parallel here with respect to the applied magnetic field. So here cylindrical symmetry relative to b0 is there so that means the electron density around autumn a is affected due to its bonding with another a that means earlier when we had simple a that is a different environment now we have a a bond is there and a a bond has two electrons now the electron density around autumn a is affected due to its bonding with another a even hydrogen autumn in H2 no longer has a spherical symmetry because of the distortion of the electron density by the other nucleus but in the parallel orientation of H2 the magnetic field in this magnetic field the electron density has cylindrical symmetry in the direction of b0 cylindrical symmetry is there in the direction of b0. So this is not unimpeded and the paramagnetic component is 0 so here paramagnetic component is 0 in this case but in the perpendicular orientation the electron density around each hydrogen is not symmetrical with respect to b0. However so delta p is negative and delta so since hydrogen is only surrounded by one less electrons and S are which are spherically symmetrical as a result what happens it is still the electron density is spherically symmetrical as a result the magnitude of sigma p component that generates because of hindered electron circulation that is negligible and bi only and bi is only 15 percent so sigma p term for H2 is negligible. So sigma p is so low and its contribution is about only 15 percent as a result what happens sigma p term for H2 is negligible that means it is only sigma d diamagnetic shielding what matters in case of H2 molecule. Now let us look into F2 here for the F2 molecule the analysis of parallel orientation and perpendicular orientations are very similar to that of H2 each F atom has a closed shell of electron density if you take F. So we have something like this so something like this we have 88. So in this case basically what happens in the perpendicular orientation due to the presence of p electrons and the incumbents of the circulation of electron density about b0 due to the FF field bond produces paramagnetic shielding. So in this one electron density is more and also we are talking about p orbital as a result what happens circulation of electron density there is a incomparance hindrance is there as a result produces a considerable amount of paramagnetic d shielding that means sigma p term is quite large. So actual shielding observed is average of the shielding in all possible orientation if you ask me question why I am considering only perpendicular you know parallel and perpendicular yes. These two are taken after considering averages of shielding in all possible orientations when you consider all possible orientations in all angles you have to take two extremes one is perpendicular one is parallel only those two are considered they are averaged one. So except for so because of this reason except for one H and alkali and alkali and earth metals where we come across only s electrons in the valence shell in all cases paramagnetic term dominates and hence d shielding is there we should remember if you consider one H NMR, sodium NMR or any other alkali and earth metal NMR, lithium NMR in all these cases what happens paramagnetic term is not there and shielding is there but apart from this one if you go to any other metals any other elements where we have p orbits are there p orbits will be having valence electrons the paramagnetic term dominates. So fluoride ions show a chemical shift of 400 ppm compared to bare fluorine nucleus whereas in case of F2 the paramagnetic d shielding increases its chemical shift from 600 ppm relative to fluoride an ion. So you can see as a remarkable contribution coming from sigma p term because of hindered circulation of electron density as a result of p electrons. So this will give you some idea about paramagnetic d shielding and diamagnetic shielding and also why we have in case of one H alkali and alkali and earth metals a short chemical shift region whereas in case of other nuclei we have a long range of chemical shifts. This is the delta scale chemical shift in ppm I am telling again shift down from PMS in case of one H and 13 C spectrometer frequency in megahertz. So here as I said if you measure chemical shifts in ppm this is independent of magnetic field strength. So to compare that one you can see here I have taken 60 megahertz and 300 megahertz and then if you take the chemical shift here 1, 2, 3, 4, 5 whatever you have taken it does not change it does not change it remains in ppm study whereas in Hertz it is changing but in ppm it does not change. So this is the advantage for the same reason always chemical shifts are given in parts per million. So that when you take in different magnetic field strength NMR spectrum so it should not really matter. So now the location of signals. So after understanding this chemical shift what is chemical shift and what is shielding what is de-shielding. Now let us look into the location of the signals and location of the signal is given by chemical shift as I mentioned. If you just look into NMR signal chemical shift of methane it comes around 0.2 delta r 0.2 ppm and then if you look into methyl chloride it comes around 3 and then if you just compare between CH4 and CH3Cl this delta coordination shift the change in the coordination shift is 2.8 and then if you add one more chlorine dichloromethane if you take it is 5.3 again it is 2.3 and if you take chloroform CHCl3 it is 7.2 and again difference is 1.3 that means addition of each chlorine atom ok changes the delta of remaining protons by 2.3 ppm. So that means it is additive here you can see here every time we are replacing one hydrogen by chlorine the difference is increasing by about 2.3 ppm that means it indicates nearly additive. So you should be able to check whether this is holds good in case of all or this is an exception you can examine yourself. So that means more electronegative atoms deshield more and give larger shift values. So that means here we have 3 chloride 3 chlorine atoms are there and more shielding is there more deshielding is there because the electron density is pulled towards them and also as a result chemical shift is larger. So then effect decreases with a distance. So here these chlorine atoms are 2 bond apart yes if I write like this ok 2 bond apart 1 and 2 bond apart. So effect decrease as the distance between these will move. So effect decreases as the electronegative atoms are moving further from the nucleus we are considering. So additional electronegative atoms cause increase in chemical shift if I keep on adding more and more electronegative atoms. So more and more deshielding will be there and then the chemical shift value will increase. So here I have given chemical shift values for different type of protons here you can see here methyl groups in alkane comes around 0.9 and in alkane again if you look into CH2 groups it comes around 1.3 and CH will be coming at 1.4 and then if you have a CH3 group next to a carbonyl group it comes around 2.1 and if it is next to acetylene it comes around 2.5. Next what happens if CH2 is next to halogen or oxygen it will be in the range of 3 to 4 and next in the olefin sudden jump is there it is 5 to 6 and then when we have a methyl group in a olefin it is again 1.7 and then if you consider OH group in phenol phenol it is there. So it comes around 7.2 and then in this one CH will be red one I have shown here 2.3 and then in aldehyde it comes around 9 to 10 in acid it comes around 10 to 12 in alcohols it comes around 2 to 5 and then in aromatic alcohols it comes around 4 to 7 and of course here this is incorrect. So this is for this aromatic hydrogen atoms it comes around 7.2 whereas here for aromatic alcohol phenols H will come around 4 to 7 and amines it comes around 1.5 to 4 and sometime it can also go much lower. I have given some nucleus again and also I have shown their natural abundance and also the nuclear spin values and frequency with respect to hydrogen at 100 megahertz I have given and also the standard references used while measuring NMR of various nuclei also I have given here this again an important table. You can see 1 H 100 megahertz the standard we use is tetramethyl silane we call TMS and same thing is to in case of 13 C also TMS we are using and frequency will be 1 fourth 25.1 and natural abundance is 1.1 and then 19 F 100 natural abundance and frequency is 94. This is CfCl3 we are using as a standard in case of 29 silicon again we are using TMS and in case of phosphorus we use 85 percent phosphoric acid we are using and in case of 77 selenium we use no dimethyl selenium we are using in case of 103 rhodium again 100 percent abundance very interesting and frequency is 3.2 times and then rhodium metal itself is a standard there and then 117 tin natural abundance is 7.7 and frequency is 35.6 and then tetramethyl tin used as a standard and again we have another 111 19 it is 8.6 in this case we use the same standard and Xenon is there XCOF4 is the standard and tungsten we are using Na2WO4 and then in case of platinum we are using Na2 PTCL6 sodium hexachloroplatinate and in case of mercury we are using dimethyl mercury as a reference and corresponding frequency with respect to 100 hertz megahertz 1HNMR is given here. So, let me stop here and come back with more interesting discussion on NMR spectroscopy. So, have an excellent time reading. Thank you.


Hello everyone. So this week's topic is the recycler view and it's counterpart the card view So recycler views are a pretty cool thing. They're in Probably just about any Android application. You have used lately. So let's get into it and just give you a quick introduction of these things They're actually pretty complicated, but they're very cool looking once you get them going alright So what is the recycler view the recycler view is a list of information But on steroids right so if you're in a position where you need to display a bunch of different things if you want just like a list of Text options like if you're selecting things from which pizza you want or something like that But it's real boring information. There are other things you can use you can use a list view with a list adapter Those things are great But if you want to have nice customized lists of information, right? Not just words, but maybe you've got pictures or icons or things like that. You want a recycler view Okay, it's got a couple of things for it As I mentioned before I think recycler view is Android's preferred way of showing lists of items So when you go to the Android documentation these days, you'll see that they use recycler views in their examples The recycler view has a lot of benefits. So first of all what you want to show in your list of Stuff what is an item in a list? What does it mean to you? That is totally customizable by you It can be a list of images of texts of icons all three a Recycler view has a couple of different Layouts for its list of information. I'll show you them in another slide and it Really importantly, this is the reason Android it pushes it so much is it Intelligently recycles the widgets that are on the screen. That's why it's called a recycler view So what do I mean by recycling widgets? I mean that drawing widgets is Expensive right actually putting things on the screen is expensive sizing it figuring out if stuff fits all that sort of stuff Android in a recycler view takes the widget remembers it remembers its dimensions and its layout things like that but replaces the content right now in a list This is kind of what it well in a list this can be important because you know say you've got An Instagram with like a thousand different pictures in it, right? It's more efficient to like say And this is a recycler view by the way and what it's displaying is a list of little pictures here Say there's a thousand pictures on this person's account the way the recycler view kind of does things differently is I see nine Tiles here and these are my list elements What it does is it kind of figures out the dimensions of these nine tiles and and their padding and their margin and all that good stuff But then as you like scroll up or scroll down and you put different pictures on the screen The recycler view put changes the content of the widget But really it uses the same widget object like the same Java class object, but replaces its variable data and This is recycling it recycles the objects by putting different data in there Why is that a good thing? Well if this person has a thousand pictures on their Instagram account You don't want Android like downloading all thousand at one time at once and building a thousand different widgets, right? And there's two inefficiencies to that one is you've got to download a thousand things Okay. Well, maybe I'll just make my program smart and not download a thousand. Maybe I'll just get the first 32 64 or whatever But there's also inefficiency in creating those thousand widgets even if you're only creating them on demand, right? So that's kind of the power of the recycler view on the downside the recycler view is It's a little tedious to set up it's a little tricky a little more complicated than any other view we have looked at and capturing Interactions like if you click on this particular picture Capturing interactions inside a recycler view is a little tangled but totally doable As I mentioned there are a couple of different layout options for the recycler view These are all examples of recycler views. So I think this is maybe the Kindle app These are items in the list, right? These are in a linear fashion You've got grid layouts like we've got here and what is called a staggered grid where things can kind of You know, there's two columns here, but the number of rows is sort of variable, right? You've probably all seen examples of these All right, so that's the recycler view the recycler view is like a layout handler for lists Okay, it puts a list of things on the screen The actual content that we have seen in this picture and in these pictures here Those are card views now a card view is a widget and it's meant to display things right and it's very flexible It is sort of the ultimate metaphor in material design If you remember from the last video when we talked about material design the material in Material design is paper card stock that lay is laying on a surface, right? so a card view is Meant to represent a piece of card stock with something on it laying on a surface The cards are elevated on the background using drop shadow. You can round these corners if you like But the content what actually goes in the card right the card is a rectangle That's the main thing about it and the content is specified in a layout file Just like you do with like your whole activities, right? so it's it's just like a tiny little square that you have a lot of control over what goes inside of it, right and The recycler view is Really good at reusing these things it kind of expects these card views in them, right? And they're they're pretty cool. They're pretty powerful and again They're sort of like de facto how Android wants you to display lists of information if using this card view, okay? So all these Example apps we've got like the Google photo app Here's the score sports news Each of these things, you know each picture here and Google photos is a card view, right? And then they even have like slightly different customizable data. There's obviously the picture is different some of them are movies, right? So this has a time stamp and a little play icon. This one is not a movie So it doesn't have those things that stuff that you can program and control with your card view So pretty cool stuff, but it is intensely flexible This thing right here. So you got this picture of this the coach for the New York Jets or former coach and then Down below it. You've got or excuse me up above it You've got kind of like a title and down below it You've got the share button or send a button this whole thing right here is actually a card view So the card itself is kind of like a layered complex thing the card view can contain Other layouts like maybe this is a linear layout to give you the things stacked up all nicely Okay, but the card is an entire entity same thing over here, right? Here's some travel website for looks like Australia They've got a picture up at the top this one whole thing right here is a card Right, they've got a picture up at the top with a title and some shadowy background some text down here two buttons All this stuff is a card, right? So a card is kind of like a Mini layout file for an activity, right? You have control and you format it just like an activity screen you would do, okay? So very powerful very cool very flexible I Want to introduce you to I'm gonna get rid of myself here I want to introduce you to a roadmap for working with these things now in this video This is all probably not gonna make a lot of sense So what I want you to do is go do the lab for this chapter chapter 13 of your book Do the Google official Android exercises on recycler view in the card view that are linked in your module and then come back to the Slide because it's important for you to understand how the pieces get connected in the code It'll help you debug things a lot better when you run into some weird errors when you set up these things, okay? so the recycler view right you've got an activity and This is true for any Activity in your app. You've got your on create method the first thing that happens in on create as you do set content view and You point it to the layout file for the activity, okay? Inside the main activity. You've got some sort of parent layout here I've got a linear layout and inside the parent layout Which could be a constraint layout you have a recycler view widget, right? All right, so this is saying all right when you call set content view Fire up this recycler view load it into memory and let's get to work on it alright Now couple steps down the layout manager You're gonna set that that decides is this a grid layout is it a linear layout for your recycler and then set Adapter, okay, so what is an adapter an adapter is a design pattern in software development What the adapter does is it provides a Window onto some data Okay It is it's like the bridge. It's the translator. So say you've got a whole bunch of raw Information about like a person's Instagram post. It's got the date the time the name the picture that's associated with it Some comments etc etc etc. That's the raw data What adapters do in general in computing is they're gonna take that raw data and they're gonna Maybe manipulate it maybe omit some of it to provide the necessary information the necessary data to Some consumer of that data And so in this case the consumer of the data is going to be the recycler view It's gonna show the data the captioned images adapter Here and this is just the name for the one that I use but it is an adapter the captioned images adapter Its job is to kind of take the raw data and build up some information to give to the recycler view okay, so when what happens here is When the captioned image it image adapters attached to the recycler view It has a thing called a view holder in it Okay, the way to think of the view holder is that it's like the grid the blueprint on the screen It's this thing but without any content in it. Okay, so you're telling the recycler view. Hey, there's a grid it's for wide and Four columns wide and two rows high. Okay That's where you're gonna put stuff mr. Recycler view. Okay, and what are you gonna put in here? Well, you're gonna put one of these You're gonna inflate and put in one of these card things. Well, what is the card? That is the card view that gets specified in this XML file. Okay, so mr What you're saying here is mr. Recycler view. Here's an adapter The adapter is gonna give you These things these kind of like empty spaces the reusable recycled things And it's gonna provide to you the specific data that goes into each specific thing As you as the user is like swiping up and down and scrolling through the list. Okay, so When you initialize the adapter You create the view holder the grid the whatever that's gonna hold these things and then finally Whenever the adapter whenever the recycler view is actually drawn on the screen This gets triggered on bind view holder and on the bind view holder Fills each member of this grid with its particular data Okay, so effectively the grid will stay the same But imagine I've got a whole bunch more pictures down here as the user swipes up and down The content of the grid will change, but the grid will always kind of be there all right, so Yeah, that's a lot to digest a little confusing come back to this part of the video come back to the slide after you've Worked through the chapter see if this helps you out a little bit. All right. That's it for this module Introduction and I will talk to you next time


Happy Thanksgiving week everyone. And with Thanksgiving coming up on Thursday, the decision time is truncated this week for fantasy football. So we got to decide who we picking up, who we starting, who we getting set for week number 12 with the playoff crunch now underway. We are here to answer your questions about those waivers and get you set for week number 12 and beyond. This is the waiver wire Q and A right here on the FanDuel YouTube, Facebook and Twitter channels. My name is Jim Sonnis. I am a senior writer and analyst for numberfire.com. I'm joined here as always by JJ Zacharyson. He is the editor-in-chief of numberfire and FanDuel JJ. First of all, happy Thanksgiving. How are you doing here on this beautiful, beautiful Tuesday? You too, Jim. Happy early Thanksgiving. I'm excited even though some of those games are a little bit iffy. At least your boy Jared Goff looks like he might be starting this week. That helps a bit. It helps a bit. Yeah, it helps a little bit. Have you looked at Tim Boyle's college numbers? Like 12 touchdowns, 36 picks, No, like one touchdown. Oh, I thought it was 12, 36. Okay. Well, it's the same ratio. It's like one in 13. So it's a very similar, actually it's on the same ratio. But like, he's thrown one passing touchdown since high school. Tim Boyle has. And he started an NFL game. I had a friend tell me that Tim Boyle is the doctor death of the NFL. Where he just keeps, he's sticking around even though no one knows how or why. He's been around the league. So, good for Tim Boyle, but I'm glad that we're gonna hopefully see Jared Goff instead of him on Thanksgiving. Yeah, get those checks, Tim Boyle. Good for you. I think he had like one good pre-season game with the Packers like a decade ago. And by a decade, I mean like three years ago, but that's what it seems like in the NFL. And I think that's why he's like hanging around. I could have a totally different dude, by the way, because you know, it's Tim Boyle. Name doesn't really stick out in my mind. But yeah, one touchdown, 13 picks in college, negative 122 rushing yards. At least he was athletic, moving around there. You know, I can finally say, JJ, that my boy Jared Goff is an upgrade at quarterback and that makes me feel very good inside. So someone's mentioning that he transferred to a different school. So I was only looking at his Yukon stats. I didn't look beyond Yukon, just to be clear. But at Yukon, okay, he had 275 pass attempts and he had one passing touchdown and 13 interceptions at Yukon. It was just insane to me. It's crazy. Did Daniel Lovsky go to Yukon? Yeah, I think so. Is Daniel Lovsky like, is his jersey retired at Yukon? Cause it probably should be at this point. Like, if it's Daniel Lovsky versus Tim Boyle, I'll take Daniel Lovsky every time. Anyway, we're not picking up Tim Boyle on waivers this week, because it sounds like Jared Goff may have a shot to go.  So that'll be a lot of fun. But from a waiver wire perspective, we do have some stuff to talk about for today, not the most plentiful waiver wire either way. But get your questions in via Facebook, YouTube, Twitter will take them no matter where you're watching. Also hit subscribe, hit the like button over on YouTube as well. We do have a stream coming up tomorrow morning at 10 a.m. on the Fando YouTube page, breaking down the week 12 DFS main slate. We also have our Thanksgiving DFS podcast already up on the Fando YouTube page and on the Number Fire Daily Fantasy podcast feed as well. JJ has you covered on the season long side with the late round podcast which you can find wherever you get your podcasts. All right, let's start things off here. With Shake and Bake 145, my opponent does not have a tight end. So do I prioritize blocking him from getting Dan Arnold or Dallas Goddard or claiming the Bears defense? I already have Miami defense options like Philadelphia, Dallas, Houston, the charge is available. And JJ, actually my first question is should Shake and Bake just pick up Dallas Goddard to have Dallas Goddard? That's kind of what I'd be thinking here. Yeah, I would be thinking that too. Your opponent doesn't have a tight end. That means that you have a tight end that's better than Goddard. But I would try to just have Goddard on my team. I mean, he's basically like averaging like a 28% target share per game without Zach Hertz there. Yeah. Yeah, I mean, I would just try to get Goddard. Yes. And then you said you have Miami's defense.  But yeah, I mean, I would probably still go with Goddard just because there's a lot more variants at defense. Unless you think someone else other than, you know, your opponent is going to pick up Goddard this week. Like if we're talking like Week 12 and you asked me, Jim, would you rather flex Hunter-Rentford or Dallas Goddard? I think that's a discussion I have. Yeah, I think you could flex Dallas Goddard in some leagues. So I'd just pick up Dallas Goddard there, honestly. Sock to Milo, which defense would you get out of these three and how do you rank them? So we got the Lions here versus Chicago with Eddie Dalton starting the Jags facing off with Atlanta and Houston against the Jets. All really bad defenses, but all facing not elite offenses, which is kind of the key thing for Week number 12. So any preferences here, JJ? I think I might go Jacksonville of these three. I can understand the Lions, I guess. Houston's, Houston, I get it's the Jets, but Flacco actually didn't look that bad this past week. I'm going with the Jags. The Jags are actually eighth in the NFL in pressure rate. And Atlanta's Atlanta's been the top defense, or sorry, top offense for defenses when looking at adjusted fantasy points allowed this season. Part of that is because of what happened last week against New England, but they were still top five even before that game. So I might go with Jacksonville here. And then I'd probably put the, maybe I'd put Houston. I think Jacksonville is the team though here. I think I'd go Jacksonville. Yeah, I think I don't have a preference. I'm going to go with JJ. We'll go with the Jags there as well. Let's talk to Joseph. Elijah Moore is obviously the top ad, but how big of a gap between him and Corey Davis is there when Zach Wilson comes back, which I would probably expect to be this week based on the way that Robert Sullivan was talking about it earlier on this week. I would, I bet Wilson plays because it kind of seems like they wanted to wait until they were facing, you know, not a blitz heavy team, not Buffalo for him to come back and other facing Houston. I bet it's this week. So if we assume that it's Zach Wilson, JJ, how are you viewing Elijah Moore and Corey Davis relative to each other? Yeah, I mean, I understand the tendencies in terms of, you know, what we saw earlier this season with Elijah Moore versus Corey Davis. The thing is Elijah Moore is also seeing better peripherals outside of just like Target share, you know, in the Jets office. He had his highest snap share this past week. He's running a lot more routes than he did at the beginning of the season. That's usually what we see from rookie wide receivers. I would still prefer Elijah Moore over Corey Davis rest of season because I want that upside. I want that potential. I'm an Elijah Moore truther. He was a 96 percentile wide receiver in my model. So I think he's very, very talented. I think he's very good. And the Jets actually have one of the best wide receiver schedules from here through the end of the season as well. So you do want to have pieces of this offense just in terms of just, you know, the wide receivers not the quarterback, obviously. I would prefer Elijah Moore still because I just think there's better upside than Corey Davis. I wouldn't worry too much about the splits with them earlier on this year because Elijah Moore was still running or learning to run outside, like not like physically run outside but like operate as a non-sprout. Were those friends outside? Yeah, just, you know, sprinting around the backyard, chasing his tail kind of weird. He was still learning how to play that position. And now he has learned it because they're playing in there and he's playing very well. So I wouldn't worry when Wilson comes back like Corey Davis is gonna get targets and he should cause he's good. But I wouldn't worry about Elijah Moore evaporating at that point. Dr. Joseph, if you're again, favorite waiver wire defense for next week between the Rams who are facing the Jaguars or the Cardinals who are facing the Bears don't know this as a Justin Fields for that game but based on right now, what would you prefer between those two? Definitely the Rams. Jackson Mills has been one of the easiest teams to stream against this year. The Rams just as good of a defense as Arizona if not better. So I'm gonna go with LA. So let's stick here with the Jags discussion and talk about a two quarterback league with Deesh. Would you drop Trevor Lawrence for Taylor Heineke, Taysom Hill, Tyrod Taylor. He has Jalen Hertz, Danny Dimes and Trevor Lawrence. Danny Dimes, new offensive coordinator, Freddie Kitchens now, Cullen plays, so Jason Garrett being canned. I feel like it's not, is that really an upgrade to get to those guys over Lawrence? I don't know, what's your vibe on this one? Yeah, I mean, it's tough. Trevor Lawrence has been pretty horrific. He has three touchdown passes over his last seven games. So it's really hard to buy into T-Law right now. Obviously if Taysom is locked in as a starter, I think if you're looking for upside, Taysom's the play. I mean, Taysom, if he's starting, he's fringe QB one, if not a QB one, just because of his rushing ability. So if you have the ability to, or if you need to look for upside, I would probably go with Taysom Hill. If you're just looking for a body that you can maybe stream and utilize, then maybe I go with Trevor Lawrence but I mean, honestly, I might say that Taylor Heinecke is a better play than Trevor Lawrence from here on out. Though there are some rougher matchups for Washington there. But I think that it's fine if you wanna do that. If you need upside, I would go with Taysom Hill. And if I were a betting person and I could bet on said things, I would bet Taysom Hill starts after Thanksgiving because Trevor's struggled. Hill's been banged up but he'll have a full 10 days to rest up and I'd bet that he starts week 13. Yeah, can you also roster more than three quarterbacks? Cause I would try to do that too. Like I would really try to play matchup with those two being your QB two and three. I would be trying to play matchup with three quarterbacks as opposed to two. I think that makes a lot of sense. Let's talk to Wiley here. Is Quadrant Olson really worth a pickup in deep leagues?  Wiley is a big film grinder. I would think that leads to less snaps. I think that Cordero Patterson being healthy is more likely to lead to fewer snaps than pass pro. Would you add Quadrant Olson in a deeper league, JJ? Look, man, I'm a pit grad. I love pit, hailed a pit. I watched a lot of Quadrant Olson and I am shocked that he got run in the NFL. I don't think that he's worth a pickup. No, you know, Cordero Patterson will be healthy eventually. I don't know if he's going to play it this week or not. I don't know the status of him right now but regardless, Cordero Patterson is going to be back eventually. So think of it this way. If Patterson's back next week, let's say let's just say he doesn't play this week. Are you going to throw Olson in your lineup? Probably not. So what's the usability there? So no, I would not be adding. Agreed. DJ is asking JJ for survivor advice for good reason. DJ, you've learned your lesson. Does that mean I got it right? Does that mean I got it right last week, DJ? I mean, I don't... Well, it was Cleveland against Detroit, I think. A wins a win, man. Process, results for a process. Eagles facing the Giants. Tight spread, tight spread is what I would say. Are you okay with that one? Not, I mean, I haven't looked at the matchups and enough detail this. What's the spread in that game right now? It's like three and a half, I think. Yeah, three and a half. Is it in New York? There are no big spreads this week, though. There are no big spreads. Is it in New York, that game? Yeah.  Actually, there are no good survivor options this week. I'll just tell you that. So maybe it is actually Eagles. Yeah. I mean, the Giants looked horrible last week and Philly looked good last week but that's also seems like a recipe this year in the NFL for disaster that narrative's gonna flip. I don't know, I'd have to look at this slate a little bit more. I don't think it's like a horrific pick this late in the season, but. No. Yeah. The largest spreads are Dallas without their top receivers, Buffalo on the road and New England versus a somewhat feisty Tennessee team. So good luck, DJ. Godspeed. Yeah, that's rough. Joseph. You had Kyle Pitts as a buy this week. Joseph has got it and get sicky. Would you still try to upgrade if you got to, you know decent guys available already? I don't know if that's an upgrade, honestly. I don't know if Kyle Pitts is really a huge upgrade from like Dallas. I would probably prefer Goddard at this point over Pitts just given the work that he's seeing the offense is actually competent, all of that. The reason I had Pitts as a buy is because of touchdown regression. He only has one touchdown this year. That number based on a lot of formulas should be closer to four or five. So, you know, if there's someone in your league who is just low on Pitts and low on that offense which they should be, at least there's some regression that's gonna hit and that's why he was a buy. But I think that you're fine at tight end. I wouldn't be going after Kyle Pitts. I think it's more if you're starting like a lower and yeah, I was gonna say that exact name. It's very nice. Okay, Luke with Erts on a buy, options to pick up for tight end are Dan Arnold, Tyler Higby, Dawson Knox. He has Josh Allen as his quarterback. Those aren't bad options, honestly. Who would you pick between those three? It's probably between Higby and Knox for me. I might go with, I'm gonna go with Higby because the matchup is actually pretty decent on paper. The way that they've given up Target Share, adjusted Target Share to tight ends and points to tight ends. And Higby's seeing decent red zone work this year. He just really hasn't been able to convert. And then obviously, yeah, obviously, you know, no Robert Woods in that offense anymore. You know, we only have that one game sample of like OBGA and whatnot. I think Higby's actually a decent play from here on out. I think he's fine there. Yeah, I think both Knox and Higby are totally fine. I would have no objections to either guy there. Milo, I have, I feel he has value but is Galladay dropable? If he's my wide receiver six, 10 team PPR. I'm not sure when you'd have a lot of confidence in starting Kendi Galladay, which something that you would discuss earlier on is like having an equation in your head. It could change, but like Sterling Shepard, probably going to come back. Kaderi Estone is getting a lot of targets to like a 10 team league. Definitely he'd be on the fringe, right? Yeah, I think he's on the fringe. I mean, it just depends on who you'd be adding for him. But if like Elijah Moore is on the waiver wire in a 10 team league, I would rather have Elijah Moore than Kenny Galladay. If even like a Hunter Renfrow, I'd rather have than a Kenny Galladay. Cause I think Renfrow has just as much upside at this point as Kenny Galladay does. And that's what you're really looking for at a wide receiver six is who has a ton of upside. And while I think Kenny Galladay is a very good wide receiver, I just don't know if in this current environment, the upside is really there for him this year. Maybe next year, maybe it clicks and works out and they get things fixed, but this year, not so much. Or they get Russ. Joseph, what is your favorite defensive streamer for this week with the Bears being gone? So no Bears. We do the Eagles facing, you know, Danny Dimes. We've got Dallas facing off with the Raiders. We have the Dolphins facing Cam and the Browns facing likely Lamar. Who do you like most in that group? I would go with Philly of that group against the Giants. They just look completely inept last night. And the other thing too with the Eagles. So I talked about some of my 10 trend show that's dropping tomorrow as a spoiler alert, but Philadelphia has been very, very good against wide receivers this year. Like very good against, I mean, they get Darius Slay on the perimeter. I mean, they're going to be fairly good against position, but wide receivers have ranked 32nd in adjusted target share against Philadelphia this year. So they're the best team at preventing targets to the wider receiver position. They're one of the worst teams. They're third worst in preventing targets to the tight end position. And so basically you're looking at a scenario where the Giants might have to rely on Evan Ingram a lot and they have no idea how to utilize Evan Ingram in their tight end. So there could be some good defensive performance. There could be a good defensive performance for Philly this week. Yeah, the Eagles basically just like they try to do like that thing where like we're not going to get beat deep. Like the average depth of target against them is crazy, crazy outlier, actually low. Yeah. And like that's what Funnel's target tight ends. And that's also why one of the few wide receivers that have done something against them this year was Kenan Allen. Cause he's that, Tyreek Hill is another one who I think was Tyreek, didn't they play? Yeah. He had like 180, there's some of that yards. Yeah. He had, I think he had some big plays in that game, but like the three that have had top 20 performances against Philly this year are Antonio Brown, Kenan Allen and Tyreek Hill. And all of them are like shiftier. And that's why maybe Kaderious Tony has a decent game against them because of the way that they utilize him. So I like him in particular in this matchup, but at the same time, you know, do we trust them to be able to get Tony the ball in space because they clearly haven't been able to do that since that Dallas game. Please, let's get, just get Tony the ball. Let's do it here. Let's talk to Austin. Would you start Debo the rest of the year without you playing? Obviously this depends on its team. So general vibes check for you on Debo, Samuel kind of running back. Running back. Kind of wide receiver, kind of just playmaker. Where are we at on Debo right now? I mean, look, it's hard to like not be cool at Debo because he's amazing and he just can do anything apparently. Look, I think that what we're gonna see when Elijah Mitchell is healthier and when the 49ers don't have insanely positive game script, which this weekend, I don't think we're gonna see an insane positive game script against Minnesota. You know, cause even though Minnesota hasn't been good, they've been good. And so, yeah. So I think that in this scenario, I don't think we're gonna see Debo be used as a running back as much, especially when they don't have those positive game scripts. And that's gonna then in turn hurt IUK a little bit. I mean, I'm still putting Debo as the better wide receiver than Brandon IUK if that helps. I mean, I know that IUK has been really great and that's great to see. But with those three weapons and the lack of passing volume in that offense, you're not gonna see the three of them go off each and every week.  And I would much rather bet on George Kittle and Debo Samuel than Brandon IUK. And the thing with Debo is he's gonna get points one way or another because if Eli Mitchell is out and he's in the backfield, he's gonna get points via rushing. If Eli Mitchell is back and he can be a receiver, he's just the preferred target. We've seen that all year. Even when IUK's had full snap rates, it's still been Debo over him.  I don't really think you care how you get him. So I think that's a good thing for Debo going forward. Like downgraded from where he was when Kittle was out, yes, but still a very good fantasy asset. Joseph wants to know Matthew Stafford or Justin Herbert the rest of the way, both are good. Who do you prefer? I'd go Herbert. I mean, I know that the main reason I say that, I know that he's had some down weeks, but his spiked weeks are just amazing. And he's just, I mean, he unleashed his rushing ability a little bit this past week. I mean, I just think there's more upside with Herbert without Robert Woods in that Rams offense right now. And Stafford can have down weeks too, as we've seen plenty of times this year. Grim fan, do you think the Giants offense can be better now with no Jason Garrett, Freddie Kitchens, the interim play caller for the Giants? I don't know, man. What you got here?  I mean, there was a, speaking of Dan Orlowski, there was a tweet that he had sent earlier today where it was a play breakdown where they had three wide receivers. Maybe it was even sake one on the backfield, but they all converged in the middle of the field and literally all three of them were like bumping into one another. In the middle of this, there was a three man rush from Tampa Bay. Danny Dimes is getting, getting pressured from three, from a three man rush. And then all the while, the three of them out going, running, running, there's no one doubt underneath for Danny Dimes to throw to, and the three of them were literally colliding with one another. Like it was just like the perfect example of what this Jason Garrett offense has been for the Giants. Mike Clay sent a tweet out earlier today that since the start of 2020, the Giants had the fewest offensive touchdowns in the entire NFL.  So yes, I think they're gonna be better now because it can't get them much worse. Are they gonna be good now? Probably not. Yeah. I think that's probably a fair way to view it. So we'll see, but it can't get worse. That's positive. Let's talk to Rocky here. He's got the 49ers defense. I could pick up the Bears defense against the Lions. Do you view that as an upgrade? Probably. Yeah, yeah. Kurt Cousins or Jared Goff? Yeah, I'd rather face Jared Goff. Yeah, I don't wanna really play defenses against Justin Jefferson and Adam Thielen very much. No, thanks. JJ, you had Elijah Mitchell as a sell and then a hold and now he's injured as you're opinion about him the same the rest of the way, great schedule. So he's gotten hurt. I think the positive honestly for Eli Mitchell, JJ, is that like, Jeff Wilson was just okay. Yeah, he's not good at this. Jimmy missed him in the end zone, but like he didn't do a whole lot to earn extra playing time. I talked about this on my podcast. Like the Jeff Wilson stuff when the fantasy world has been so strange to me. Like everyone complicates the San Francisco 49ers backfield way more than it needs. I mean, literally ever since the start of the season, the only reason why we're complicating is because everyone thought it was gonna be Trey Sermon, right? But since the start of the season, everything that they've done has been predictable and it's shown us that they like Elijah Mitchell, that they think Elijah Mitchell is their early down bell cow. And then they would throw Jim Michael Hasty in there as a pass catching back and maybe they throw Jeff Wilson in there a little bit more, but like Elijah Mitchell is still probably going to see 75-ish percent, 70 to 80% of the team's running back rushes from here on out. The real question mark with Eli Mitchell the entire season has been what kind of receiving role is he gonna have, right? He finally had that one game right before he got hurt, where he was running routes, where he had a decent target share and we're sitting there and we're like, oh, maybe now he's gonna be our true bell cow. Like instead of just like this early down guy, he's gonna be a real bell cow in this offense. And that's why I went from him being a sell because people were saying, oh, he's an RB one without this receiving work to then a hold because he started seeing that receiving work. So I think he's probably still more of a hold because of this injury and because they did litter Jeff Wilson in there a little bit more the last time we saw both of them healthy, but let's not overcomplicate this stuff. Like guys, Jeff Wilson is not as good as Elijah Mitchell. Elijah Mitchell is a very good running back. And we also don't know when that finger injury occurred in that game. And it's possible Wilson played more in that game because Mitchell's finger was banged up. So I think that's worth keeping in mind too because I was concerned too seeing Wilson play in that game, but then the injury comes on. I was like, okay, that makes more sense now. It's kitty time. Possible Mitchell replacement this week. Is that David or D. Ernest Johnson? I never know which one this is. I mean, regardless. Boston Scott, Tevin Coleman, Don Trell Hilliard. Jeremy McNichols could play this week. I know they signed Don Trell Hilliard to the act of roster, but I think McNichols, I would keep in mind that that is a possible situation there. Michael Carter out, which could influence Tevin Coleman here at Boston Scott with no Jordan Howard, but with Miles Sanders, a lot of moving pieces here, what you got. I think that of these players as a player, I like Boston Scott the most, like as just a player who can generate fantasy points in this situation is probably the best of anyone here. I think that if we're projecting volume, I probably feel best about Tevin Coleman this week, just from like a volume standpoint. So if you need more of a floor, I'd say Coleman's your guy. I think Scott though provides a little bit more of a ceiling because his environment within his team, I mean, they're just running the ball so much and they're able to, I mean, the running backs are seeing just absurd. I mean, like, Miles Sanders did not have a good running back rush hour this past week. He still saw like 16 rush attempts. If it's between the two of them, Boston Scott should still see a lot of volume this week. You can run on the Giants too. So I think that's going to be leading to effective rushing as well for them. Okay, Grimfan wants to know where we're at on AJ Dillon after last week. Obviously a down game, but like, I feel like you can't really say no, right? Yeah, I mean, like AJ Dillon obviously didn't have a great outing and in terms of fantasy points scored, but his running back rush hour and his target share combination had not been hit by any Green Bay running back all season long. So his peripherals were still fine. It's just that he didn't produce. Yeah, six targets is pretty sick from a guy like that. Also Grimfan, pick up Darnell Mooney or Elijah Moore to start this week. I'd like both personally. It's just for this week. Darnell Mooney against the Lions, Elijah Moore against the Texans. Preference? Pardon me, I kind of want to say Mooney, but I think that I would just pick up Elijah Moore because I would want him on my team for the rest of the season. I like it. You can take the slight, you know, decrease this week, maybe the longer season long stuff.  I'm just sitting there. I'm like, Darnell Mooney sell for almost 49% of the team's targets last week. Like if it's anything close to that this week and a good matchup, like, you know, he's going to have a good game. So I think he's a little bit safer of an option, but Elijah Moore can go off and he's been awesome. So I would rather have Elijah more rest of season than Darnell Mooney. So let's use that as a tiebreaker. It was a 49% target share when they actually threw like 30 times. He had 16 targets. Yeah, it was absurd. It wasn't a 20 target game, but just awesome. Pickle Rick is asking permission to drop Jared Cook. That's my takeaway from this question because it's Jared Cook versus Jerry Judy, Marvin Jones, Kaderis, Tony, Darnell Mooney. It's cooked by a mile here, right? Yeah, I mean, I guess you can make a case for Marvin Jones, but the other three, I definitely wouldn't be dropping. But yeah, Jared Cook would be the one to drop. Sean is speaking my language. Do we like an Emmanuel Sanders revenge game this week against the New Orleans Saints? Give me all the revenge games, baby. That isn't every game for Emmanuel Sanders or revenge game at this point. He's played what, for four or five teams at this point? Hitzburg, San Francisco, Denver, New Orleans, Buffalo. Yeah, a hot sack. They traded like a second round pick for him. Yeah, I forgot about that. Yeah, he went to the Super Bowl.  But I think he's like a good leverage play, too, from a DFS standpoint. I mean, it's a smaller slate, so it's not gonna be as much leverage. But his peripherals have been fine. It's just that they're not targeting him at as high of a rate. But over the last three weeks where he hasn't really performed, maybe the last four weeks, he's run more routes than Stefan Diggs. I mean, he's run the most routes on the team. So he's getting a lot of cardio. They're just not targeting him. And like with March on Laddermore being there, you don't worry about Diggs because Diggs would be fine, but it may shuffle a couple targets elsewhere on that team, that could be good for Manny. As you said, Revenge Game, that's the biggest factor here is Revenge Game, but just other stuff does help him as well. How is asking, is it worth it to roll at Logan Thomas on Monday against Seattle or go with Cole Comet on Thursday versus Detroit? So basically, do you take the guy you know will play on Thursday or risk it and go with Thomas on Monday? I don't think I like Comet enough. I don't like the scoring environment for them. I mean, it's not like I love it for Washington either, but Logan Thomas is a better, like he has, you know, if he were healthy, it's a higher projected target share. I might risk it, but then if we learn more, just get a random dude off the waiver wire who realistically can score just as many points as Cole Comet, anyway. Yeah, I think that that's probably what I would be doing with that one as well. Okay, just making sure I didn't gloss over anyone's here. Okay, a big trade from LeBron's brain. What to do with, or a trade here with Christian McCaffrey, CD Land, TG Hawkinson, for Najee Harris and Devonte Adams, they have Kelsey. So it looks like they have Kelsey are thinking about trading away Hawkinson here. Big trade, a lot of names here, what do you think? This is absurd, this is insane. I probably would lean the CMC side just because he is the best asset in fantasy football. So that's the main reason, is it a fair trade? It's not terrible by any means. I would, instead of doing this like massive trade, and if you have TG Hawkinson with Travis Kelsey, like try to get rid of Hawkinson sure, but just do something a little smaller, like package, you can package CD Land and Hawkinson, see if they would do that for Adams, or package CD Land and Hawkinson for like a, I don't know, I mean, Land's like a top five wide receiver anyway. But, you know, like a Justin Jefferson or something maybe. I don't know, would you like, I'd probably prefer Jefferson over Lamb the rest of season. So that's sort of the way that I would think of it. Yeah, I just want McAfrey, like get CMC out of this trade. They're trying to con you, man, push back. Okay, one final one here from how, preference on Odell after the buy, we'll just make this more broad, to make it more applicable here. Are you willing, what's like the cutoff for you to start Odell Beckham this week? Cause TG Hawkinson is not a real player based on the production on the targets he's gotten, like, sure, he's getting targets, but is he real? So weird. Where is the cutoff for you for starting Odell, giving the unknowns around his situation right now? I think he's like a wide receiver three. You know, I don't know if I would put him in wide receiver two conversation, but T Higgins is sort of in that too. I think Higgins is safer just because we've seen a pretty consistent target share from him. And like we know sort of what to expect at this point and touchdowns really haven't come. But, you know, I would probably still go with Higgins, but OBJ I think is sort of like in that wide receiver three discussion, which is where you might find T Higgins as well. I would treat Odell the same way you've treated like Van Jefferson basically. Like, would you start Van Jefferson over them?  Like Odell's going to be out there. So I would just say, would you start Van Jefferson here and use that as being the test for Odell? That's the way I would play things at least on my end. That is all that we have here for today on the waiver wire Q and A. As always, we are here each and every Tuesday taking your questions on the Fandall YouTube, Twitch, usually on Twitch, Facebook and Twitter pages. So make sure you hit subscribe and make sure you swing back here every weekday four PM for all of our live streams. Check out JJ's podcast, the late round podcast wherever you get your podcasts. I find JJ on Twitter at late round QB and check out the 15 transactions call and written form over on numberfire.com. JJ, happy Thanksgiving and I'll talk to you again next week. Thanks Jim, happy Thanksgiving to you too. I'm on Twitter at Jim Sonnis, J-I-M-S-A-N-N-E-S. Big thank you to Calvin Theobald, our video producer for running the video side of things here today. Thank you, Cal as always. And thank you to everyone for tuning in. Happy Thanksgiving to all of you as well. Good luck on the Thanksgiving games. Good luck on Sunday. Good luck with your waivers. We'll talk to you once again next week. This has been the waiver wire Q and A.


Why should you sign up for this course because we are going to take you on a wrong through the world of social media from What is social media? Why you need to do planning strategy? What are the elements of social? What do you do if you mess up? What is the way that you make something? More likely to be viral. How do you make why would you want to make something viral? How do you measure your success and what is the role of emotion in social media? All of these elements will be discussed. What we will not do is we will not focus on narrow tactical elements of how you use tool X or what is the latest update on Facebook because this is a Strategic look at social media and by the end of it You should be able to think about social media and the way that it can be used for your company your agency Your personal life building your own personal brand In a way that you're much more informed to do that and ready to experiment and go out and try it This is not something that will go out of date quickly because we're really looking at this from the broadest context of How this is going to happen? And why should you believe me? Because I've worked in social media now for almost a decade helping some of the world's largest brands and some of the most Exciting consumer goods brands through the luxury brands Pharma business-to-business all sorts and seen a lot of the challenges that they have faced And that has informed the way that I look at social media and the way that I think can help you to understand How best to use social media for your business friends personal life or anything else


Hello people of the internet! My name is Johnny, welcome back to Five Nights at Freddy's, help on in number two! And we're gonna start this video off with a nice relaxing game of Fazzer Blast. How fun is that? And after that we're gonna move over to Sister Location, and then after that, I have no clue. It seems like there's some locked minigames we gotta figure out how to unlock. Anyway, shoot the lights, hit your targets, and don't let your score fall too far. Interesting. We did see Dreadbear in the trailer, and we just saw him on this graphic, so he is in this game. It seems like he's gonna judge us if we don't get a high enough score. I'm not entirely sure. The plush babies are also here, so we got them coming after us too, which is gonna be awesome. Oh, I'm so glad they're here as well. Corny! Pew! I'm ready! Kablamo! Kablamo! Kablamo! Kablamo! Okay, I'm ready! I'm ready! Show me where I gotta shoot! We're in space! Kablamo! Kablamo! And, oh, I'm the best at shooting the stars. Look at this. Kablamo. Ooh, some green stars too. He's going by a lot faster than I was kinda hoping, and I'm missing quite a few now. Okay. Some blue stars. Come on. How'm I doing? Oh, I'm doing really good! Look at that! Purple. Some pink. Okay. I'm getting a mix of colors now. Oh, my God, there's so many. Holy, holy! Okay. How'm I doing? Oh, I'm doing phenomenal. Awesome. Hey, Freddy and Chica. That's a new cut out of Freddy, I think. Oh, hit that. Thank you.  Okay, I'm doing really good on scores still. Is the Yivi ship. Do I get anything for shooting you? I guess not. Okay, I got a few more. Oh, I see Loss Hacks. He's back. Let's get these. Do I get anything for shooting you? It doesn't look like it. Okay. Let's get that fast one. There we go. Awesome. This one. One hiding behind that meteor. Okay. I'm doing really good. I think if I just keep up the score, I mean we should be set. Okay, there goes the rocket ship. Oh, it's landing. Am I good? Oh! Okay, we're on a moon now. I see that. Oh, okay, so I gotta shoot these targets and then they shoot at Loss Hacks. I don't. I'd actually, I'd hate that. That's news to me and I don't like that news. That's it. We've seen other sets in the trailer. So I wonder if I go back in if I'll get a different, like, aesthetic to the minigame. Okay, we got the Phaser Blast. That's cool. Oh! Oh, wait. There's another level for Phaser Blast. So is this the one that we saw in the trailer that had the FNF-1 location? Oh, God. Oh, that's right.  Wait, I'm actually kind of goaded.  Sign me up! Hey, Chica. Oh, oh, oh. Wait, don't sign me up. Wait, Coach. Coach! Take me out. Oh no. Coach. Oh, shoot. Can I go back to the gun? I was better with the gun. Here, I'm just going to have this ready. Oh, God.  Let me at him. Oh, I can shoot these too.  I didn't know that. Okay. Let's get that. Oh, no. Chica, do you just want to, like, knock those guys down for me? I see that. Let me get that. See, like, right there, I'm going to hit my mic. I'm starving. What? Is that... Huh? Was that Chica, like, in the carnival? Oh, my God. Oh, my God, they're moving now. Come on. Okay. Yeah. I hit a picture, I guess. How am I doing score? Oh, I'm doing phenomenal. I don't even need to worry about it. I heard an achievement. That means I'm doing good. I say as I'm missing all my shots. Let me shoot Foxy. What do you say to me? Oh, my God. See what I mean, man? I'm scared to hit stuff. I'm good, actually. You don't have to give that to me. See, I don't even want it. I didn't even hit it. Stop. Why is it called circus, baby? I hear you. Hey, number one crate, you're on my side. You find them. Hey! I see them. Hey, wait. Wait a second. No, thank you. Oh, hi, Chica. Hi. I didn't even... I blocked you out of my mind for a minute. Let's get some of these. Now, where's Baby at? I hear you. I see you. Luckily, your eyes glow. Hey, Plush Baby, why can't we team up? Why don't you go up on the stage?  Hello. Okay. Thank you. What's this? I trashed the game. Let's go. Bucket Bob's and Help Wanted 2, this is the best day of my life. So, where do they... Where do they go? Oh, I see them. Wait. What's up, fellas?  Oh, it's a real party now. Oh, my gosh. I cannot believe it. This is the greatest game of all time. Yeah, I mean, there's some locked minigames. There's some that are corrupted by Glitch Trap. So, I don't really know what to do with those. Backstage is fine. Food prep, I really dislike. Can't do anything there. Okay, let's go back to these, because I did want to return back to these. Thanks. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. I'm here. Ok. Ok. Is there not that? What is that? Is that a stapler? Uh, Helpy, would it be alarming to you if I had no clue, oh it's this. If I had no clue where like anything was here. There you go. Nope, nope. You're fine. You're fine. You're fine. Sorry, do I need to spray your eyes with bleach. Ok, it's a blue bottle. So I'm gonna assume... No. It's this. Um, stop stop. I know it's um, no, it's oh no it is disinfected No shot. No, no, no, no, no, no, no, no, no, no, no, no, no. Oh My god of all the freakin things to adapt stairwell. You got to add the ad breaks on the TV Okay, what's going on over here? We got to scan you got to keep scanning you See what's wrong with your hand? What is what even is that? He got mad that I was eating his candy help me I don't really know what that is if I'm if I'm being so honest with you. Is it this thing? Here you go. Oh Okay here have a candy This this this right here is an NDA mint. So if you like it, you can't tell anyone about it. Oh God, I've got this three scenarios Okay, let's get let's get you all patched up a What related injury you say a spine related injury? Stop. Oh my god.  I am trying to help you.   That's right.  Help me just one more just one more buddy. Oh My See a claw machine injury. I'm sorry to hear help me. Did you at least get the prize?  Let's scan you again. Oh, no. Oh, no. Oh, no. Oh my god. Hello Ha lefty, it's always good to see you Get this brace back. I think that's what that is Definitely not what that is. Oh, I did that. Okay So what is that then that is This surely yes Hey, look at that. Hope you feel better take a candy Lefty if you want a candy you can just you can just ask I'll give you one. There you go Enjoy it. Yeah, be a lefty figure. I bet Yep, a lefty figure. Look at that. Awesome. Do we got to do more to help out help me? Uh, no, but we have a fizzy faz night one Lucky you a position recently opened at the fizzy faz bottling warehouse Okay, I get to see how they make fizzy faz. Whoa, make the correct order and send it to the delivery unit Use the cameras to see if the staff bots are working Okay, oh boy. Oh, it's this area. Hi puppet plush your back Hello How you doing? Yes? Okay Sugar oh god, okay this I need a new order. Here we go.  Where do I? Put this are you working?  Hey, make sure you guys are working in there. All right. It's sugar need to caffeine Put that back put that put that in there happy You're working. I don't even see anyone in there seems like you're working to everyone's everyone's doing their job. There we go Okay, you're working. It doesn't seem like you're working. I'm gonna assume if they're not at like the control stations That means they're not working Or if I can just reset them that means they're not working to caffeine to acid I feel like I'm doing something wrong, or I'm just not I'm missing some step. I got an achievement sound Wait, that's it that was so easy yeah Probably a fizzy faz right or a staff bot all the discount ball pit. There's so much pizza some representation I love it and it I was kind of correct That we would be in the pizzas the pizza sin pizzeria and we would get to go around like interacting with all the attractions Speaking of attractions. Hello I'm ready Use the key to confront the darkness To me. Okay. That that seems like some lower lower Key to confront the darkness There was a key. I mean this there's been keys in in princess quest Did I get this did I win this? Okay Night two let's just hop into night two because that was super super easy I felt like I was doing something wrong because it was so easy give them a break occasionally, or you may regret it What no no no one gets a break in my warehouse. All right everyone back to work So you said Bostell I'm not listening to the word you're saying I'm the boss here protein what protein protein caffeine and acid Wait, what oh? It's out wait.  Not you get back to work. Oh You can take a break actually. I got it covered in here guys. Don't you worry I? Don't even know Okay, I need protein so I'm gonna get me more protein. Sorry. Can you resume? What's going on here? You need a break you can you catch a break fine fine you guys are so God-dang picky You're working you're working you're working perfect need some caffeine need some more caffeine and I need two sugars. There we go Right in there happy day Anyone need a break sir? Working hard to hardly walking am I right gotta hit that guy. Okay. I need some sugar need some two protein and then some acid Acid classic. I love having acid in my drink. You need a break. Don't worry. I got you. There you go Oh protein needs a break to everyone needs a break apparently I Need protein. I need caffeine protein. You cannot take a break because I need you to work actually I'm sorry. You need to work Fine, you can or no you can't have a break. I don't know what's going on anymore. This is my company I don't even know what's going on anymore Same time tomorrow. Hey Hey teamwork makes the dream work guys.  I love this game man. Where's gumball at? I see you Hello You're with all your friends. Can I take a gumball? No gumball my dog is super insulted that I cannot have a gumball. Oh Wow Whoa Okay, it's like a gallery. Whoa Do not touch. I don't want to replay that.  So who can I see? I want to see lefty lefty Pig patch. I want to see you. Oh my god This is so cool. I didn't know this is what this did Can you stay up there and like perform? He does stay up there. I don't think he's gonna perform. Anyways, we're done with staff only So now let's move on to sister location. We got a beat below our gallery again Go away.  I Hear them. I Hear that Jesus Christ You're behind me. How do you get in front of me so fast? Whoa Whoa Hi this video game, I didn't know pretty bad was in the ballora gallery. Oh my god, that's a pretty I see you see you come here No Never mind stay back there. Oh my god. I see you too. Just go this way, babe. Hello Excuse you. What are you doing? Go away. I'm so close. This has taken so long There's no way. Are you behind me? Do I have to like it? Can I like it? I'm going for it. Oh my god I'm genuinely curious if that bitty bab was an Easter egg. Ballora. That's awesome Because I feel like like it wasn't said anywhere in the instructions So I'm very curious and I know the bitty bab was an Easter egg in the first helpful on it and The the minigame with circus, baby What's up next breaker? I'm I figured so let's do it push the handles forward to complete these circuits And charge the gauges use the microphone on Freddy to keep him away. Okay This was another one that was featured at the packs booth But I didn't really pay much attention to the gameplay because it was very dark And I couldn't really see anything So like this Can I do this? Whoa Freddy Freddy go away Go away. Oh, I don't actually get to talk. That's kind of lame But I see you over there somewhere too. Did I do anything? Whoa? Whoa, whoa, whoa, whoa, whoa, whoa, whoa, whoa, whoa, whoa, whoa, whoa, whoa. Oh, hey, it might have just been a mouse Freddie So what's the dealio with this? Thank you, Freddie fazbear from Five Nights at Freddy's? Okay, you're all the way back there again. I can see your shadow Okay, I've got two. Let's do this one Because in the original sister location I see you over there in the dark York it was a monitor that you had flipped up and that's when he would get you hi Freddy Fazbear go away go away okay so I can just spam it like in sister location that's great let's get this one up I don't have enough levers though so it seems like I'm gonna have to do like a combination of hi dude go away go away okay you're all the way over there you don't have to say hi to our friends bonbon okay I've gotten the bottom five all lit up Freddy what is going on behind you oh you move some wires oh that's awesome I love that detail whoa so now is this doing anything whoa no thanks no thank you no thank you okay okay there goes that one that goes up very quick love that so do I gotta find like the right combination of levers seems like I do okay what about these nope about these yes perfect go away Freddie Freddie you need to go back to your stage wait a second right now I don't know where you went but it was not your stage Freddie Freddie Freddie go back to your goddamn stage thank you but these no so they do correspond to okay I can figure this out there are certain level levers that correspond to a meter one of these dials so like if I grab this I just gotta find the other lever that goes with that there we go no Freddie I've one left this has been a fantastic mini game this is a fantastic adaptation of this game no Freddie I'm done screw you Freddie there you go bye I love that that was so fun I love how they adapted that that was amazing it's so simple but like I don't like it feels so it feels so good when you're like all right yeah figured out this one goes with this this lever you know all right let us keep going why not the office private room let's do that restricted area ooh so this is the one with Ballora right watch the cameras check for danger close the doors if I feel through and powers back yeah so classic office FNAF gameplay we've seen this in the trailer Ballora's here seems like the bitty babs gonna be in the vent as well oh wow this is very this is very cramped okay okay oh interesting oh why is it like that whoa what was that there are what did that say oh they are watching bruh bruh no thank you where's Ballora wait it's entered wait I thought it was Ballora oh shoot I mean I should have assumed cuz it's private room oh shoot there's a lock on this that's interesting oh no and he makes he makes zero noise when he moves oh this is gonna be a bunch of shit what can I do with this I need to unlock this somehow okay oh my god okay he's in the closet oh Jesus dude I don't like this what was that oh it's one he's getting close so in the original private room in these hallways entered has two phases a first one and then a second phase closer to the door I'm gonna test and see if he has two phases in the okay he doesn't bro just kind of disappears from the camera good to know okay he's gone he's in the vent now not any better but whatever okay he's getting close but shut this now we'll see last time he just kind of disappeared from it I heard a vent noise I'm gonna assume that means hey he's about to come into your office never mind that's the sound effect I need to look out for okay yeah he's back I will say this is missing where where's the the sister location private room ambience that's like the like the iconic feature of the private room is that awesome like ambience noise oh hello cuz now it's just like completely silent you know like that's kind of boring okay so you make us you make a sound effect when you when you run so let's wait for that wow oh my god that is ruthless that is absolutely terrifying I'm not meaning to go to that camera oh god oh god where's he at it's weird that that message on the cameras whenever you switch the cam it's not like an Easter egg you know like it's always there anytime I switch a camera it says they're watching he's gone now I feel threatened I've also I feel like I've got quite a bit of power yeah it's 4 a.m. with 40% oh hell yeah I'll just keep that close for a bit oh my god he's like the freaking terminator oh I like those sound effects for him though dude this mini game would be perfect if it had the private room sound effect it had the soundtrack why still why it's just completely quiet I mean I guess it gets you immersed but I don't know man like it's such an iconic part of the private room what are you doing like I said 5 a.m. though 17 percent we should be good though it seems like Edward wants to stop by just one more time why is he walking like that why is his head doing like this all right that should be his final appearance though I don't think he has time to go to a different camera does he or come to a different door no I'm not gonna open it though because I think I can just leave it closed there we go oh it's got the shift complete nice enjoy some time at home can I actually though you trolling me just a bit of trolling that's fine steel wool entered I am going to have to call it here and figure out what to do next unless it just needs me to finish food prep and then everything else will unlock but I have no clue hey wait wait a second just gonna open this door already I thought this was gonna be like endgame dude a freaking course Princess Quest 4 are you kidding me clocking out already take off your mask what dude I do anything with this insert coin but how they lift this back up no shoot okay well a bit of a cliffhanger we found we found and that's back that's interesting the foxy painting that opened the was it Princess Quest 2 in security breach or 3 and also I mean there's another installment of the goddamn Princess Quest arcade machine that's perfect and I shut this off but I can't I can't do anything right now so we're gonna have to come back to that I'm very fascinated by that so in between this episode and the next one I gotta figure out what I can do with that what I can do to unlock everything else and then also finish food prep that's gonna do it for episode 4 I believe of help wanted to again I'm having a blast this minigame is about to get very very interesting because now we're finally unlocking secrets in relation to ruin the Vanny mask as well as obviously glitch trap because of course he's back we're going to save solving all those secrets for the next video thank you all so much for watching this one and I'll see you all on the flip side goodbye


Hello and welcome to the session, let us consider the following problem today. Determine whether the following relation is reflexive, symmetric and transitive. Given to us the relation r in the set A of human beings in a town at a particular time given by, first r is equal to x, y such that x and y work at the same place. Second, r is equal to x and y such that x and y live in the same locality. Third, r is equal to x, y such that x is exactly 7 centimeter taller than y. Fourth, r is equal to x, y such that x is a y for y. And last one is r is equal to x, y such that x is the father of y. Now let us write the solution. Here we are discussing all the parts separately. Given to us is set A is equal to human beings at a particular time. This is called the first part. I said that x and y at same place take for reflexivity. It belongs to r, therefore let us check for symmetry. It belongs to r, x belongs to r, therefore r is symmetric. Now let us check for transitivity. Now y belongs to r, belongs to r, then x, z belongs to r. Since y, z at same place, therefore r is transitive. This is the next part. r is equal to x, y such that x and y live in the same locality. Let us check for reflexes to r, therefore it is reflexive. Let us check for symmetric. Somehow y belongs to r, belongs to r, check for transitivity. Longs to r belongs to r, z belongs to r, since same locality is called the next part. Given to us is r is equal to x, y such that x is exactly 7 centimeter taller than y. Now let us check for reflexivity. It cannot be 7 centimeter, belongs to r, not reflexive. Let us check for symmetry. Longs to r, then 7 centimeter taller than y, which implies cannot be 7 centimeter taller than x, which implies y, x does not belong to r, not symmetric. Now let us check for transitivity, belongs to r, which implies x is exactly meter taller than y, 7 centimeter taller than z, which implies cannot be exactly 7 centimeter taller than z, comma z does not belong to r, not symmetric. Let us study next part. Given to us r is equal to x, y such that x is a y for y. Now let us check for reflexive. Somehow y belongs to r, cannot be y for x. Let us check for symmetry. Longs to r, which means x is a y for y, it is not possible. Now let us check for transitivity. Somehow y belongs to r, we cannot find belongs to r. Let us do the last part. Given to us r is equal to x, y such that x is a father of y. Let us check for reflexivity. It says, let us check for symmetry. Somehow y belongs to r, which implies x is a father of y, which implies y cannot be father of x, which implies y comma x does not belong to r, which implies r is not symmetric. Let us check for transitivity. x comma y belongs to r and z belongs to r. It implies x is a father of y, the father of z, that does not belong to r. I hope you understood this problem. Bye and have a nice day.


Last year, a St. Lucia delegation led by the Agriculture Minister embarked on a quest to secure new and existing banana markets in order to assure the prosperity of St. Lucia's banana sector. Following the most recent research efforts by Export St. Lucia on the opportunities for banana exporting throughout the region, the National Fair Trade Organization and Export St. Lucia have secured a new market in Antigua. The first shipment containing 460 boxes that arrived on the shores of Antigua last week proved to be a successful venture. Minister for Agriculture, Fisheries, Food Security and Rural Development, Honourable Alfred Prosper, who was present to witness this momentous occasion, notes that while regional export has occurred between countries such as Antigua and Barbados, maintaining good quality and quantity of bananas remains critical to the sector's growth. I must say the quality of the fruits I saw was very encouraging and I'm really applauding the farmers for that because what Antigua is saying now that whilst we may be focusing a lot more on quality for the UK, they are also interested in quality and so we need now to not view the region as a lower quality type fruit in terms of its production but we need to ensure we work towards getting a quality of bananas that can go to the UK, the same quality can go to other countries in the region. Minister Prosper explains that during his visit he engaged in discussion with an established buyer on the possibility of using Antigua as a distribution hub for surrounding countries in the region. According to the Minister, the meeting elicited positive feedback due to the high level of interest shown. So the bananas would move from St. Lucia to Antigua but we were hoping that the buyers in Antigua would increase production in terms of quantities to be exact because currently we are now moving on average 2500 per week but we have asked for the possibility of increasing it from that to maybe 8,000 because we think the opportunity exists between Antigua, St. Kitts, St. Martin, so our bananas now can get to that point where it can be placed in a ripening facility and this is one of the discussions we were having with one of the buyers. Why not establish a ripening facility in Antigua? Increased imports of our bananas to Antigua but distribute to St. Kitts, to St. Martin, St. Thomas etc. As the focus of the agriculture ministry remains on securing the existing banana export markets and expanding into new regional and international markets, farmers are encouraged to ensure that the quality of bananas they produce remains their highest priority. From the communications unit of the Ministry of Agriculture, I am Anicia Antoine reporting.