Hi. It's Bridget. Welcome to Above Life Channel. The purpose here is to inspire your spirit and to fill you with hope. And I literally just did that for about five or ten minutes and I realized I wasn't actually recording this video. I'm just gonna trust that there's a reason for that. Maybe I don't know about it. Maybe it's because it's that mercury retrograde kind of psychic thing going on. I'm not sure. But our guest today is Don Knott. So I'm not going to delay and I'm just gonna bring him right in since he's sitting right across from you. I'm gonna describe to you a bit though how he looks because I did that already. And the reason why I am connecting with Don Knott is because I thought it would be fun. I thought it would be entertaining. I personally have been really enjoying going back you know feeling kind of reminiscing and watching old television shows like Threes Company. Now for some of you it might be the Andy Griffith Show that you would know Don Knott's from but Threes Company is one that I've been watching. I've also been watching The Love Boat and Happy Days and Family Ties. So before we go any further it's not really a psychic thing but it's a bridge of thing. Go ahead and put in the comments below what are your favorite feel-good go-to old TV shows like that if you could watch one that you remember from your history from growing up or hanging out at your grandparents or whatever it might be go ahead and put that TV show or those few TV shows you know what I'm talking about right they come right to the top of mind put them in the comments below so that we can we can share and chat and see what see what we have in common okay go ahead and put your those TV shows those old-timey TV shows that you remember from from from your younger days perhaps okay all right so Threes Company I have had the theme song in my head I've been walking around today kind of going coming knock on our door take a step that is new okay I don't want to get trouble for copyright and I don't want to annoy you with my horrific singing voice but I want to share with you how much fun it is when you connect with spirit in these creative entertaining and really simple ways like I was watching three company I've been watching for a couple weeks now and boom I said hey I should channel Don Knott's to my husband and and he said yeah he'd be yeah he'd be good he'd be a good channel and I said but I don't really know that much about about Don Knott's and he kind of smiles Mr. Furley is kind of smiling at me right now and I I said oh I feel like and I listed a couple different things and I said but don't tell me don't tell me to my husband this was like maybe a couple like five days ago don't tell me though don't tell me I'm like oh I feel like he died like this and I don't understand what this means and this means and I'm like I don't know I said but don't don't tell me don't tell me I don't want to know anything cuz when I come into a channel I don't want to Google it's so funny too I get a lot of comments like well you can find this out on the internet I'm like okay then go ahead go Google it isn't this much more fun to do it this way I mean to have a real conversation to interact and kind of discover as we go right I just don't know that much about Don Knott's but I know I love his work as Mr. Furley in Threes Company and then my husband's like oh well for somebody that doesn't know how he died you were pretty right on and I'm like okay okay so it's I have enough info then I can channel Don Knott so here we are so Don may okay yeah absolutely absolutely said pleasantries aside yes you can call me Don absolutely all my friends do he has this what you would expect maybe if you're thinking about the character Mr. Furley and Threes Company says I did this for you do you like it I did it for you he says he's got like a kind of a khaki colored very kind of bland khaki colored leisure type suit on with a like a scarf like a little tie a silk kind of tie around the neck off to the side kind of long and skinny and it has this kind of khaki colored darker browns really muted tones little orange kind of pumpkin orange colors in it like paisley almost pattern and then there's a like a shirt underneath that kind of has like this orange tangerine pumpkin with a little bit of the paisley's browns in it as well and so that's what he's wearing okay some typical Mr. Furley and I so I appreciate that I want to share that you guys know I'm clairvoyant I see so that's why I described to you what they're wearing so if you were to channel Don Knott's or if he were to come in or pop into you or anybody else for that matter you don't know what necessarily see them the way I see them because when you channel for yourself and you connect for yourself you see them in a way that is most appropriate to you because you are the receiver you are receiving so they show up in a way that you will get and understand them so in the channeling here today as we're having this conversation with Don Knott's use your senses use your heart space use your empathy and feel the vibes I have a lot of energy in my heart like I can barely I need to like simmer down my heart chakra Mr. Furley okay so the energy of Mr. Furley so funny like some of the facial expressions just I mean crack me up it's like classic Mr. Furley you like it do you like that very very good who's your drama coach he's like who's your drama coach I don't have a drama coach this is all I'll have a homemade drama it's called you know having a lot of energy and a lot of caffeine actually it's the afternoon and actually did pour another cup of coffee you feel like you have a lot of energy done there's a lot of activity up in the high chest what's that from he says call probably high-octane coffee says probably high-octane coffee we might have a lot more in common than you think we do Bridget so do would you say that you had anxiety because I that's how I feel right now connecting into I literally feel anxiety you know in my time we didn't really talk much about that mental health wasn't a big thing you you would hear in you know in in the acting circles you'd hear if someone you know overdosing or someone I'm doing too much drugs or drinking too much and you know and and God forbid driving and you'd hear about those stories but you just you just figured it was it just seemed like part of the the environment I mean to be to be very straight with you it's just seemed like the environment so did you get wrapped up in you that you know I've he's kind of showing me like this a little bit of like okay so I literally see a flash image of Mickey Rooney like as a child actor and he said he's kind of saying I happened into this in a different way it feels like stand-up comedy something like that I happened into this career in a little bit different way and he says I was always kind of awkward and didn't never really fit in all that well and people just didn't really understand like my jokes my humor and and it seemed almost like that all the misfits went out to Hollywood or all the misfits it seemed like you could find you could find your way with other people who were it's such a strange you know dynamic though other people who are isolated but together that makes does that make sense like he's making me feel like a bunch of misfits gathered together like at a comedy club and some of them everybody's like feeling very alone but yet they're in groups of people and they're they're practicing their lines and they're really funny so I don't know if this is an audition that he's trying but it really feels like comedy like I'm stand-up comedian or I'm like slapstick and that kind of thing like it's different it's different he says you know with Mr. Furley with that character I read for it and he's making me feel like there's an availability issue so either it's availability issue for him or it's an availability issue for the show itself he says they were going through a lot of changes at the time and and I don't think they really knew what they were doing or what they really wanted they changed things like the writing and stuff everything kind of started to change and I had an opportunity to come back and actually do the show and I read initially early on when there were the other characters and the ropers were were what they landed on but I I had a few other things that I was doing at the time and it just didn't work out just it just wasn't wasn't it's kind of making me feel like it wasn't in the plan at that time it's definitely a timing issue guys and I don't really know like I said intellectually I don't Google stuff so I don't know this after the fact then we can look it up and find out how accurate this is or what this interpretation is okay interpretation is so I love mr. Furley hilarious very funny and you also acted with John Ritter John Ritter has a play has a video to he's on the playlist you guys and videos here at above live channel because I have talked we have spoken with with John Ritter oh very talented you talk about being a multifaceted or or like a chameleon oh very very good he was such a comedian just an incredible talent he's really talented and he you know what and you know what he's a nice guy too he really was a nice guy he really was a nice nice guy and he's kind of saying kid like a nice kid he was a nice kid well did you know his dad texts he's making me feel like he relates more to his dad than he does to John like age wise maybe he's might be closer to his dad's age versus versus what John was somewhere in between their ages maybe that's kind of what the vibe I get so you were also on Andy Griff the show so you were in television was that like planned or is that something you wanted or actively pursued you know I I read for many things I it's making me feel like tried out but he's making me like screen actors Guild and reading scripts and things and he says he's making me feel like it's so much easier to just do things off the cuff when you could improvise when I could improv it's so much easier when you had some leeway you know if you had to be very serious and it was a very serious type of method acting it just didn't really fit me didn't really suit me I didn't have a strong desire to be taken like as a serious actor I just knew who I was and the kind of entertaining I could do what I could offer and and I really liked what I did you know I enjoyed I enjoyed entertaining people and when you have a good cast or crew with you it's it could be a lot of fun it could be a lot of fun people can really just make all the difference in the world you really feel like you're like I don't say kind or social but like you're somebody that people would like like that your personality is something that people would like oh he says oh thank you thank you I hope that I would hope that that would be true that would be nice if that was true and I literally see oh this is so sweet oh I almost feel like emotional about it but I feel I see John Ritter kind of popping over her shoulder saying that's very true that's very true Don is a really class act he's a really good guy okay and so then Don is saying but I'm not without mistakes I am not without flaws and he's making me feel like his personal life so I feel like he's been married more than once and there may have been issues with that and I almost feel like there could be either maybe drinking involved or some kind of behavior that's not the best I don't know if it was you know something else with the relationship that wasn't a faithful or loyal or that kind of a thing but it feels like that he screwed up is what it feels like didn't work out he has kids too I see a daughter maybe a daughter and a son because then he says and a son and his son unless he's saying and a grandson grandson I feel like somebody's named after him I also feel like he has a different name there's more than Don knots for his name I don't know if he changed his name but there's another name in the middle and I also see a David there's a somebody that's named David that's either related to him connected to him could be a grandson could be a brother could be a son-in-law could be a son David and oh this is kind of random this is random I don't know if this fits or not you guys so I do have a little post-it note here of other people and Don knots is the first one on here so this might be related to my next people that I that I have on my list to channel but I literally see like what looks like a Jewish star of David so I don't know if John knots was Jewish or if he had Jewish connections or he was from Germany or from Poland or something about that and like the whole World War two vibe and stuff I feel that and some kind of connection so like I say I don't know if it's because I'm gonna channel somebody from that time period next or if it's because Don knots actually is Jewish I'm not sure okay so oh we show me a dog to a very blonde dog that's fluffy kind of looks like a Cocker Spaniel like but it's a little bit taller so it might be a different type of a dog breed I see a dog that's blonde I also see like Hollywood what I know of like on the neighborhoods and like the Hollywood Hills and that kind of thing I see I'm walking along there's like this hmm it's describing to me like walking my dog I'm walking along this like a hedge but the hedge is maybe up to my chest or just a little bit below my chest maybe waist between waist and chest height and it's all across and then there's this big white house there and then there's like these big kind of pillars or blocks and then there's like a fence but the fence you can't really see all that well the fence is like either like it's kind of like this black color or maybe like an antique bronze or something and it doesn't matter but it kind of blends in with the wood and then there's all these um shrubs and gardens and things in front of that and then there's this big white house that I seen I'm walking by this house I don't know what the significance of the house is it's like he's showing me the neighborhood and the neighbors and like when I moved in everything went downhill you know you know the neighborhoods going downhill and you know Don Knots moves into the neighborhood and he's making me feel like I moved I lived in two or three different places in that area in California I don't know if it's Hollywood Hills I keep feeling Hollywood Hills Hollywood Hills Hollywood Hills but I know that there's many other neighborhoods around that area as well so I can't intellectually think about it like they see the map but it kind of looks like it goes up kind of by where the Hollywood Bowl is and kind of looks around like this and then you go back down the other side and down the other side there's like a lower place before you go down all the way and he's kind of in the lower place at one point he always wanted to be at the top but he could never quite get to the top you had to live down here a little bit lower kind of a thing and then he's showing me like Elvis maybe lived in here in that area he's showing me other Hollywood actresses that have like big hair like the 70s late 70s early 80s kind of big hair like a oh gosh it looks like a Donna Mills that's the vibe I'm getting right now like a Donna Mills I don't know if they were neighbors or what you guys if you know that put it in the comments below are you buried in Hollywood nearby nearby nearby nearby near about thereabouts nearby so somewhere yeah he's definitely around in LA buried around this area but it's not big and fancy he said it's not it's not big and fancy it's not big and fancy you know he says you know he's making me feel like he played like a German officer in like a funny or some kind of a movie or something and it was kind of funny he's saying how it worked out and it wasn't like he was like a main character or anything like that he was like a secondary or like a kind of faded in the background and not anybody would really maybe notice that he was there like he was not he's like saying to me like I'm a nobody I'm a nobody at that time so he's like maybe that's what like I'm thinking oh maybe that's why I'm connecting because I literally see like a world war two movie and he's like a German officer type or something like that you know I kind of see that but he's not famous then like people don't really know who he is that kind of thing almost like an extra but not he's more prominent than that like you'd be able to see who he was but not like a major lead character in the movie not really interested you guys and being a serious actor from what I feel you should read the book he said I think he has a book I think he has a book and it might be an autobiography or a biography it's like you should read my book you should read my book so there's a book he's got a book or he's either that or he's featured in it somebody else's prominent book and something about comedians or that kind of thing and that's he's like the greatest the greatest gift to me isn't knowing that I made people laugh I gave people an opportunity to just feel good for a little while you know that's that's that's that's how I feel that's what makes me feel good it's like that's what makes me feel good so I know how you died I'm gonna say that I know that it was natural causes of death there was like I said there was like a lung situation where I couldn't tell I cuz right away I saw cancer but then I couldn't see it in the body where it was and then I felt like well there's a lung situation like pneumonia and oftentimes you guys when you see cause of death with someone at least when I see it third eye with my mind's eye I don't see everything exactly like it doesn't play play by play every little detail I get the general image of it and so a lot of times I can see it's very common to see like a pneumonia situation because when people are at end of life a lot of times the lungs will fill up with fluid so it's natural like of course I would see that right but this is related so it's like a lung cancer kind of a scenario right because I felt like oh I can't breathe like there's too much pressure but it's on the top of my chest not the low bottom of my chest but yet I'm I have cancer there's cancer and it looks like an art kind of a thing so he had like some kind of a lung cancer and died of some kind of pneumonia or bronchio thing so I know that I can see that yes said yes and I feel like it might actually be at like Cedar Sinai is that right that name sounds familiar like he may have died there at that hospital so okay or was being treated at that hospital he's like lots of x-rays lots of like I feel like I'm in tubes a lot like I'm getting scans of my body especially my upper body and and my head to make sure things aren't you know crazy in my head he's like and that you know you'd be surprised they did find many brain cells up there you know and then you show me like the comedy clubs or something a comedy club something about a comedy club that somebody there's something where there's a plaque or there's some kind of memorial or honor honorarium of him at some kind of a comedy club that feels like it's in the LA area or the Hollywood area and then he's showing me oh this is weird I do not know how this fits but I will try I'm gonna I'm doing my best now on above-life channel when I'm channeling to share with you exactly what it comes through and even if it doesn't make sense to me or I can't make sense of it quickly and plug it in I see the guy from Hogan's heroes the guy that like was murdered or something I can see him I see his image I see his face I don't know if Don Knotz was gonna be on Hogan's heroes if he guest guest starred there or if those two guys his name is Mike or something if those two guys were no Bob it's Bob his name is Bob he's like his name is Bob I'm like okay I heard it just very loud Bob Bob he's like I don't know I know that you don't do murderers Bridget I'm like oh my god he's being really polite and I can literally see him so nice of this Bob guy standing up tall looks like a Hogan's hero guy with the bomber jacket and he's standing up tall he's like I know you don't do murders I don't like that stuff and I don't like any funny business here but Don was a good guy he was a good guy he was a stand-up guy and Don just kind of looks back at him and's like I didn't invite him like he's like he's crashing the party he's crashing the party so I don't know if there's a Hogan's heroes connection you guys where Don Knotz made a guest appearance on Hogan's heroes or if he was actually supposed to be in that television show and he wasn't cast or he had to say no because he was doing something else at the time I don't know if it was Andy Griffith's show or what but there's some connection there you guys and if you know what it is go ahead and put in the comments below go ahead and feel free to do that or Google after you watch this video and fill in the blanks for yourself as well all right so that's it here thank you so much for being here on above life channel on YouTube thank you to Don Knotz Mr. Furley love your work thank you so much for being here for being part of this experience thanks to the cameo of Mr. John Ritter Jack Tripper that's how I know him and Threes Company for being here as well just for popping in and for Bob and I want to say Gil or something Bob Gilbert Bob who just made a little kind of quick appearance as well from Hogan's heroes okay so that's that make sure you subscribe to above life channel so you never miss one of my weekly channeling videos we're trying to get back into that weekly routine and if you miss if I'm not here a week don't worry I'm okay everything's fine just take an opportunity to go through the hundreds of videos on the playlist so you can check out that video from when we channel John Ritter next thanks so much for being here I hope we've inspired your fear spirit filled you with hope the purpose here is to encourage you to live your life it's your life after all so live it just live it thanks for watching


I am interested in, I can differentiate between relations and functions. So I have a question for all of you, if you have understood this concept, well, what is this graph of the function? Of course, functions are relations only. What is function? Functions are special relations. So, will it be a relation or can it be qualified to part of function as well? That is what my question is. It is not a function. Why is it not x equal to a to x equal to b? Let us say my domain is, by the way, I will tell you the meaning of these brackets as well. So, many things we have to learn because we have not been introduced to these small, small things in our class 10. Let us say a and b is your domain. Why vertical line? Why not horizontal line? For the same x value, there are multiple y values, which value is the second criteria. Absolutely brilliant. Bang on target. What he said, I will summarize you in simple language, he said that if I draw a vertical line, if I draw a vertical line like this, if I draw a vertical line like this, for a particular value of x, let us say x1, I am getting multiple outputs, I am getting multiple answers, y1, y2, y3. That means if I draw an arrow, there is an element x1, which is mapping simultaneous, this is not allowed in a function. That means you are putting a two-print responses from the machine on three different days. Of course, you will throw out the Dabba machine. So, this will not be a function anymore. It cannot be a graph of a function. Yes, it is a graph of a relation, but that relation is not eligible to be called a function. So, many such things will be learning in this particular course. So, I will start with the graphs of standard function. So, function should be treated like machine in your mind, where you put in some input and it gives you some output. So, function is like a machine, where you put in some input. You can call this as an input and you get an output for it. This is an output.  Now, I will be telling you the graphs of some standard functions that you will be using throughout your maths.  You are going to deal with functions, Jn and dh. You must also be doing computer science, correct? When you write methods in Java, these are all functions, correct? Everything about some functions, where you have given some inputs, which we call as the arguments. And it returns some value to you, which is called the output. So, this is your output, whatever you feed is an input. Now, you may ask, sir, are functions only meant to take one input? The answer to that is no. There are multivariate functions as well, but that is beyond our scope right now. Okay? Of course, when we do higher engineering, we will come across multivariate functions. I think in electrostatics, when Felix will be talking about potential, potential depends upon the x, y, z coordinates of a body, right? So, there you will be dealing with multivariate functions. But as of now, to keep things very light for you, since you are just beginning to learn all these things, we will only talk about single variable functions. Single variable function means you put one input into that only, can't put multiple inputs at the same time. Okay? So, when I talk about standard functions, the very first thing that comes to my mind is a line. Line is also a case of a function, right? It's a linear function, which we call it. Okay? So, when I say y is equal to mx plus c, how many of you have come across this expression before? y equal to mx plus c. This is called the slow intercept form of the equation of a line. Who doesn't know this? Everybody knows? What is m here? Slow. Slow. What does slope represent? How steep is the line, right? Can slope be a negative quantity also? When is the negative quantity? Yeah. Yes, sir. How is slope defined first of all? Slope is defined as a ratio of rise to run. What is rise to run? So, if I move from this, this would be called my... So, this ratio... Now, where is the slope of it? I mean, how much you're descending as that, right? But if I go... Okay. You're saying if I go from B to A, the same line will... And if I move from... Is that what shares this thing? Is it correct? It depends on what you're taking in your water relay. I'm going to be different if I go from B to A. He'll be negative of that. Many of them disagree with you as I also disagree on that. See, when you say rise are if both are negative, M will be positive for sure. Correct? So, when you're going in this direction of Y, anything measured in this direction of Y is positive, anything measured in this direction is negative, you know that? Anything measured in this direction is a positive X, this direction is... Rise is positive, run is also positive. So positive by positive is a positive quantity. If I went from B to A, rise is negative, run is also negative, so again the ratio is positive. So this line will have a positive slope irrespective of which point to which point you are targeting. Is that right? That doesn't depend upon the two points you have chosen. But however, if I have a line like this, and this is my point, let's say A and this is my point, let's say B. So when I go from A to B, when I go from A to B, is my rise positive? Run is negative. Run is negative. So this ratio will be negative or not? Yes or no? If I go from that ratio will be negative. So such is an example where this line segment or whatever line that is a part of would have a negative slope. Understood? So in simple language, anything which is like this is a positive slope. I am showing it from your angle. Anything which is like this will have a negative slope. Understood? Correct? So when I say this is a positive slope, if it is lesser, lesser, lesser, the value will decrease. If it is like this, the value will increase and it can also become infinity and it becomes parallel to the y-axis. Okay. What is C by the way? Y intercept. What is Y intercept? It's the distance from the origin where the line cuts the y-axis, but this is our directed distance. What is a directed distance? Just like vectors. It also has a positive and negative attach to it. So if it is cutting the y-axis above the origin, C value is positive. For example, if I draw a line like this and I say this line is passing through 0, minus 3, what is C for this line? It's minus 3, don't say plus 3. If I draw a line like this and I say it is passing through 0, 2, what is C here? Plus 2. Is that correct? So everybody sitting here can draw the equation, can draw the, which is a line. If I give you the m and c value, we will be able to plot it roughly. Yes or no? Just a small exercise we will do on that. Plot, Y is equal to negative 2 x plus 5. I know all of you know that, but just for, knowing that everybody is on the same page, just draw this. I don't want you to use KL and all those accurate measurements. Just draw a line, name it at a proper point where I know that it is passing through this one. Are you sure? You are guessing it as well. Where do we get the Y axis? Mark that point as well. Fine. Well, just for your mark, you will take good. So it will be basically a line like this. Where it will cut the Y axis at 0,5. X axis will be cut at 5 by 2 comma 0. Please make arrows to signify that this line is extending indefinitely in all the directions. Yes. Such a relation of a line or such a relation representing a line, is it eligible to be called a function? Correct? Yes or no? Second question is, what do you think is the domain of this function? We talked about domain range, right? What is the domain of this function? X is equal to R. X is an element of R. Did anybody understand what he said? All real numbers. All real numbers. So for him, he said that the domain of this function is all real numbers. What in the graph tells you the domain of the functions? The span of the function along X axis. Are you getting this point? From where to where my function is extending along the X axis, that determines the domain of the function. Understood? So here, I can say domain of this function. I may write Y, sometimes I may write F of X. Don't get confused. Last year, what happened? Sometimes you write F of X equal to this. Sometimes you write Y equal to this. There's no difference. It's because we've got F of X along Y axis, we call it Y also. So domain of the function, as Sher's rightly pointed out would be all real numbers. Now many people say, why do you write this R with a double stroke? Why not a single stroke? Because sooner you realize when you do the chapter relations, R is also used for writing relations. Relations. Just now we talked about relations. So in order to distinguish between two R's I'll put a double stroke. In fact, in books also they would do the same. Just like different people are in the same way. Does this make sense? Does it make sense? If you say R with double stroke, I would take it as a set of all real numbers. But if you just write R like this, I would say, is it a set of relations? An element of doubt may come into your mind. Okay. Anyways. Is this right? Yes. Now, very good question. If I ask you, plot this line, what does this say actually? It says that, I don't care about Y, but X will always be 5. That's a very crude way of saying, I don't care about Y, it's a vertical line. And in that case, Shishti, Anjali, this will not be a function. Why? Because for 5, you are plotting to 1 or so, whatever Y you choose, it is all mapped to 5. I'll get you this point. So it will not be qualified to coordinate functions. So all lines need not be functions. Very valid point brought up by Anjali. This may be a function, but not in this case. But if I say Y is equal to 5, how do you plot the graph? Sorry.  So 1 comma 5, 2 comma 5, 100 comma 5, 0.0025 comma 5. Whatever you choose, the Y coordinate will be 5. Will this be a function? Yes. Why not? Now here comes another misunderstanding hypothetically I draw a relation for you, which maps set A to set B. Set A is for the pre-may set, set B is for the may set I already indicated for you. Let's say, hypothetically this has got elements A, B, C. And this has elements 1, 2, 3, 4, 5. Okay. So consider these questions very, very carefully. Under this relation, let's say A maps to 1, B maps to 3. Is this relation a function? Yeah. C is not here. Sorry. What do you think? Pratam. Yes, Pratam. Is this the function? C is not getting mapped. So how can you call this as a function? It is not. So C is not getting mapped, so it is not a function. It may be a relation, but it is not a function. Chalo, I map C also, but now C is going and mapping to 3. Okay, that means the rest of you say it is not a function? Or how many of the rest say I don't know actually? How many of you say I'm not sure? Not sure, Ashish. Ashish must be sure what exactly you want to write. I'm just kidding. It's actually a function. Now many of you would think that it is not meeting the second criteria. See, second criteria says this fellow cannot go to 2. But 2 of them cannot go to 2. Bread number 1, you put, you get an output. Bread number 2, you get a symbol looking. Let's say bread of one company, bread of another company. So just to show you the graph, one to many, just to make you understand, there is a one here and there are many. Many to one is a function or can be called a function. Understood? So when I draw a line like this for you, y equal to 5 line. Let's say y is equal to 5 line. So if I draw an arrow diagram for it, 1, 2, 3, 4, 5, whatever you may write in. I write numbers from 1 to 5 only. And here there is a 5. Everybody is mapping to 5. So many to one, many to one, this is a function. Understood? So it is not violating that unique characteristic. Unique characteristic is, means one input should give you one output only. Now that output will match with the output of some other input at its time. Understood the difference? Understood the difference? So a practical example apart from this will be a function like x square. Is this a function in real domain and real co-domain? It's a very important thing I wanted to tell you. Whenever you mention a function, don't mention it just by stating what is the relation between x and y. Also mention simultaneously where is the function defined. And the best way to write this function would be something like this. What does this small statement signify? It signifies that this is a function you may write y, you may write f of x as your call. Don't get confused between y and f of x. They are one and the same thing. Okay so this is the information about the domain. Remember this? When you mention this first set is actually telling you what are the permissible inputs you can put to the function.   Don't start putting your books and shoes and school bag inside it even though you hate them. So that user manual as to what you should put in that machine is what? This. Beyond this you cannot put anything. Remember that. When you buy a car, what is the car? Only to be driven on it. You can't take it in the water. What is this range? No that is core domain. What outputs you can expect from it? What outputs you can expect from that machine? But it doesn't tell you what outputs you can actually get from that machine. Understood the difference? So I gave you an example of the difference between core domain and range. One, two, three, four, five, six, I wrote that then right? And I told you core domain is an entire set. And range is the values which are actually getting mapped. I give you a simple example. This pool is like the core domain set. You can go to any room you want. You can.  No, you actually end up going to your class lab washroom. So class lab washroom will constitute your range. But you have been given to access to go anywhere in this room. And you can also enter the principal's office. Of course without permission. But that is not somewhere where you would like to go. Unless until you have been called. Yes? So the entire school is your core domain. But the places which you visit is your range. So this tells you where all you are allowed to go. Range is where all you choose to go. Understood? Understood the difference now? Whenever you write a function, always write this along with it. Never try to sell a machine without the usual money. Simple as that. You tell the person that you are using this function. Only put these values. And expect this to come out. Understood? Now, is this function eligible to be called a function? If I put an input to what I would know. Even though it is fine that we are not a function. Understood though? Will not make a mistake about it? Now many people ask me. Is it fine to leave an element of the core domain set unmapped? Yes. But it is not fine to leave an element of the domain set unmapped. If any one of them is left out in this set. Then that will be not a function. It is fine to leave out elements there. Understood now? So 1, 2, 3, 4, 5 will be your core domain. 1, 3 will be your range. A, B, C will be your domain. Is that right? Is that right? Of a state line is clear to everyone.


Hi everyone, Joe for jazby's casebreaks.com coming at you with a half-case break of 2021 Bowman's best baseball random team break number two Second half of the case. I think Jason busted one open over the weekend. Big.  Hey, it doesn't matter Either way, however we do it You know as long as it fills and long as it breaks, that's what I'm all about So let's double you up likes for a mix a lot all 30 teams are in Let's roll it randomize names and teams six and a one seven times each one two three four five Six and a one seven final time. You know what I as much as I hate the Giants I Do want to go to that stadium that looks cool. I've devin down to Nicholas. I Got a go-to game there someday six and a one seven times for the teams one two three four five Six and a one seventh and final time. We've got the angels down to the Orioles All right So Devon with the angels Chad with the Phillies Tristan with the Rangers Victor with the Blue Jays and the Astros Devon with the Tigers and Cubs Chad with the Cardinals Victor with the White Sox Tristan with the Mariners Chad with The Braves Devon with the Diamondbacks Chad Rockies Royals Nationals Charles with the Reds Oliver with the twins Tristan with the Marlins Charles with the full spot that you got last spot mojo raise and Brewers You also have the Guardians Chris with the Yankees Victor with the Giants Oliver with the Dodgers nice Nicholas with the Pirates Victor with The Red Sox Chris with the Mets Victor with the Padres Tristan with the A's Charles once again with the Brewers and Nicholas with the Baltimore Orioles Let's alphabetize that by team And we're gonna pause the video when we come back We're gonna see if there's any trades and then we'll have the break maybe some more stadium talk Chad Dawg who's been to a lot of stadiums That's a giant stadium top three nice All right, we're gonna pause video. We'll see you on the other side of the trade window All right. Welcome back everybody trade window closed Big thanks to this group once again for making it happen appreciate it Is Michael Grove looking good picked them up in my fancy team after Pepeo went down That's good to hear. Yeah, hopefully this game will wrap up soon and I can watch the rest of the Dodgers game here They're up to nothing Michael Grove for innings zero earned runs for strikeouts no walks So so far so good. We're how where the Dodgers get those two runs. Oh a Chris Taylor homer Scoring Jays and a word nice Chris Taylor Oh Good all right get into this. Where's my where's my life Where's my the tools of my trade? Oh, I know where it is no walks Yeah, I Didn't pause the beat I had to hustle. I had to hustle That's a scamper That's right. Terry twenty-twenty-one Bowman's best They've got true rookie cards Rahulio Bobby with junior wander Adley rushman who's had a hot start to the season I'm surprised this rate didn't move Even even more quickly than it has been all right College basketball national championship game San Diego State on a furious run here. They're only down by eight How do people consider those prospect cards or do they have do they have the RC? No, it's twenty-twenty two where they are RC badge Yeah, I don't know how I Guess now that I think about it Bowman's best is a little weird that way, right? There's Julio Rodriguez right there, but Doesn't have the rookie card badge On a Gilo saying you have an Aaron judge prospect. Oh, that's not selling as well because it's a prospect tag Mixed results is it is one true rookie card? Or does it need that RC badge on here?  We've got a Kibrian Hayes rookie atomic Bryce Harper green 28 out of 99 for the Phillies that's gonna go to Chad and a Luis Rodriguez autograph for For Oliver and the Dodgers. I don't know what his Timeline is but that's 29 out of 50 There you go Oliver for reasons not made public veterans and possibly put together into the same base set Thus making this a Julio Rodriguez rookie card And by these two the only Julio Rodriguez rookie card really according to who well those Julio Rodriguez is going to Tristan and the Mariners so maybe maybe you can Use that knowledge there a becket to saying that Colton Couser. It's a pretty good source 24 out of 75 That's a pretty pretty solid source then then Twitter Or some message board got a Jordan Lawler to 75 looks like a gold lava and Jay Allen For the red legs that's gonna go to Charles Wasn't Michael in here the other way saying SDSU. Well, he went to San Diego State, so So I trust his judgment there. I mean, they're not winning yet They're still down a bit So 519 left in this game with that free throw now. They're only down by five With 520 left of that if that defense starts to lock down in the next five minutes I guess Michael telling me earlier today that Both defenses are pretty good That three was huge for you con There's that San Jose even they got up. They got the ball back Did you hit no you did not hit another Dodger? Just that Luis Rodriguez Orioles beat the Rangers to nothing Braves beat the Cardinals 8-4 Jilos Royals beat the Blue Jays 9-5 Brady Singer with the win Pirates edge at the Red Sox in Boston 7-6 Ray's beat the Nat 6-2 got Drew Rasmussen on my fantasy team He gets the win Yank then I also have Taiwan Walker on my fantasy team We gave a bunch of runs to the Yankees Yankees 1-8-1 Twins beat the Marlins 11-1 in spite of the Marlins is 12 hits To them twins is 10 hits what happened there Reds beat the Cubs 7-6. I was a back-and-forth affair. We're watching a little bit earlier Giants dusted the White Sox 12-3 Brewer shot out the Mets 10-0 Bryce Turang with his first homer and we've got the Dodgers leading 2-1 Why is the anti-almonte pitching is Michael Grove already out? Yeah, he goes four innings one earn run four strikeouts 63 pitches. I guess that's fine I guess 63 pitches Padres leading the Dimebacks 3-2 in the middle of the 6th A's leading the Guardians 8-5 at the end of the 5th and we've got For Tampa Bay Taylor walls rookie auto for Charles and the Rays one of his last-bought mojo teams 3-2 rocks. What happened? Are those Michael Groves runners or those Yankee Almontes runners? Oliver I guess I could switch channels during commercial break. We got Nick Madrigal blue to 150 And here is future vibrance yeti cap for the Marlins That's gonna be for Tristan and the fish 25 out of 150 It's another run for the Rockies and here is Armando Cruz Wanted to sign just in that blank space That goes to the Nationals that'll be for Chad and Nats Got Miguel Cabrera to 199 and our redemption And I guess as Terry was mentioning like these wit Julio Rushman cards is a corner Beckett They're calling them the true rookies, but I don't know if the marketers is responding the same way though. We'll see All right behind Miggie Congratulations, you are due to receive an autograph of Texas Aaron Zavala for the Rangers That will go to Tristan in Texas and the Miggie goes to Devon in Detroit Halfway through this half case break Usually pick Yukon Logan at Yukon in the finals in three or four brackets What was why what was the uh, I don't follow college basketball. Maybe that was a sharp play but They're 14-0, but had a few injuries. That's just a sharp play All right, sorry Dodgers. We got to switch back to the national championship game Diego. Yeah, I'm very excited about the Masters this weekend big golf guy, of course repeating at the Masters is It's pretty difficult. Scotty Shuffler playing some really good golf But I don't think he's gonna repeat When's the last time someone repeated at the Masters? I'll have to do more research over the next couple of days, but right They got the Lib guys back Saw the camp Smith press conference This tiger tiger probably right and how many moons ago was that those many moons ago? But it's hard not it's hard to pick against Scotty Shuffler just because he's been such a steady Eddie It's just like a machine there's one good but golf podcast I listen to because Shuffler's kind of boring, right?  You know You'll watch him, but you know, you're not getting fired up about hey, I'm gonna watch this weekend because of Roger Federer like Not in the earlier days So I guess for if Shuffler is gonna follow that sort of Roger Federer in tennis kind of track Shufflers just got to keep winning, you know, if Shuffler just keeps winning just like Roger Federer is done Then all of a sudden, you know, 10 years down the line, you're just like, yeah Let's see Scotty keep dominating and I think that's the potential trajectory. He could be on There is another Dodger for Oliver will man Diaz It'll be interesting to see how the live guys do. Yeah, Dustin Johnson got a watch out for him 18 out of 250 Spencer Howard it's gonna go to the Rangers that'll be for Tristan and we've got a Cooper Kinney autograph of the Tampa Bay Rays It's for Charles. I Think Brooks Kepka has been has a Playing some good golf lately. It looks like he's healthy Then he's playing golf playing some good golf for whatever you know, however you perceive, you know the competition of live But for whatever that's worth. Oh red Benny Montgomery out of 10 Rockies Chad the Rockies 2 out of 10 on that one Benny and the Rockies There's wander Franco to 25 and a Julio Rodriguez and a shirt and a postal Wow Just raining autos Julio Rodriguez autograph Tristan with the Mariners nice That's awesome. You got it out of 25 22 out of 25 wander Franco Charles with the Rays It's a little bit of a weird Something happening here Little dust. Oh, you know what? This is probably like the the dust that they use you might be able to clean that pretty easily But it's like the sort of powder they use to keep cards From sticking together, but here's the wander Franco for the Rays Here's another auto shirt and a postal For Texas, it's also for Tristan. Nice. All right, another box Logan's final score pick was 74 to 65. That might happen the Yukon This is gonna take a furious finish by San Diego State to try to win this one Is that Masters video game coming out this weekend? I need a PS5 for that. I have a PS4 Am I getting a PS5? I don't think I play I don't think I play the PlayStation enough to justify that. I got PGA 2k on sale for Nintendo switch though Play the switch a lot. The graphics aren't good Processing power in the switch is not as powerful. I know I think Yukon's now pulling away again San Diego State made a run. Oh There's Yukon guys hitting them with a bye-bye Yeah, G. Don't we're trying to get into real golf although although playing golf actually playing the video game golf kind of helps you think about About club selections and strategy and stuff like that. Tiger is playing Dimebacks Padres tied at three now A's Leading the Guardians by a run eight seven angels leading the Mariners four three Tigers leaving the Astros seven six and extras Yeah, it looks like they're cruising here now Daniel. We got an Evan White Mariners it's gonna be for Tristan Wanderfranco goes to Charles and the Rays I've got a Jared Kalanek Christian Yelich and a Spencer Torkelson to 199 and a Taylor Walls Another Taylor Walls for the Rays that's gonna be for Charles Loaded Corbin Carroll tie it It's good for the hobby Did Michael Grove get tagged with those runs those were his runners? Damn it. I had Michael Grove on my fantasy team Torkelson for the Tigers. That's for Devon and we got Brent Rooker for the Twins That's for Oliver and the Twins His torque off to I don't think torque is off to a hard start I also have him on a fantasy team That's for Oliver and the Twins I need him to have I don't know Need him to have a hot start He's saying what he sings now Put some respect on the former number one overall pick. I'll give him a pretty long leash They're still in Carlson to 250 And we got Pedro Paneta For the A's that'll be for Tristan And the last little bit here Juan Soto at the end. There you go gang. Nice little break quick little recap Some pretty nice stuff. Thanks for watching. Thanks for breaking with us I'm Joe Jaspe and I'll see you next time for the next break. Yeah, it looks like Yukon's taking this They're up 75 59 clocks taking no one's really moving to the ball There you go Yukon National champions. I'm Joe. I'll see you next time


Hi everyone Sean with jaspyscasebreaks.com here doing 2021 break king premium edition baseball three box case break random team number one where Three cards per box three boxes per case all cards from rookie or prospect a year at least two graded cards per box So we should get six graded cards in this case. This is a three box full case break 30 spots. I'm gonna get to random team There you go so Here is the customer list from Chad down to Brandon Richards and last spot mojo and our teams from the Diamondbacks down to the Washington Nationals dice World of Randomize both lists and pair them up four and three seven times Seventh and final time Ryan down to Steve Birch you see seven times there seven times on the dice Now seven times on the teams Seventh and final time from the Dodgers down to the Padres Seven times seven times Cool, so let's go through the list see who ended up with Ryan Kason with the Dodgers James Connell with the Marlin Zach Paul with the Phillies Nick Stover with the Reds Ben Hoda with the Cardinals Jonathan Rivera with the Mets Brian Kim with the Yankees Nick Stover with the Rays Brian Swarth it with the Royals Bradley Zickerman with the Tigers Barry Roberts of the Braves Brian Kim with the Cubs Zach Paul with the Nationals Josh Proust with the Astros Drell Taylor with the Angels Peter Ang with the Indians Roy Di Pietro with the Rockies Mike Tower with the Orioles Chad Salisbury with the Blue Jays Randy Lew with the twins Brian Swarth it with the A's Nick Stover with the Rangers Kenneth Geiger with the Diamondbacks Jason Keane with the Brewers Brandon Richards last spot mojo with the Red Sox Ben Hoda put the Mariners Barry Roberts with the White Sox Chris Walker with the Giants Chad Salisbury with the Pirates And Steve Birch with the Padres Trade window is open if anybody here in in the break is watching or listening right now I would like to give it a chance on trades obviously not really any checklists with products like this. So just be aware of that Don't know what's gonna be happening here. Did I put it on there as on which one we go? Which one are you talking about? Hmm do show that Jimmy has the Marlins up for trade Who got lost? It is 15. What do I have it on this on the schedule as Why do I have it as 14? Jimmy Marlins up for trade. Oh, I grabbed the I copied the wrong one. That's why okay. That makes sense So Jimmy if there's nobody here, then we may just end up ripping Give another 10 seconds for you Jimmy if not try to trade couldn't trade mojo and And trade window closed No takers Jimmy, but good luck, dude. Okay Let's see what we got So here's our case. That's a nice bubble wrap up there and our boxes And Our finalists Brandon Richards last spot mojo with the Red Sox Try to trade couldn't trade mojo Jimmy. It's a real thing. We all know this Box one like I said three cards per box at least two graded cards per box and all cards guaranteed to be from either rookie or prospect year, correct? The rookie or first two years rookie or prospect year there you go So first out of box one Pete Alonzo PSA nine rookie for the New York Mets and Jonathan Rivera that is from series two Rookie of the year polar bear Another rookie Mike Soroka tops Chrome PSA 10 tops Chrome update From the Atlanta Braves Barry Roberts it box one Early indications Royce Lewis 16 out of 25 Atomic refractor Bowman best auto For the Minnesota Twins BGS nine five ten surface was a nine centering edges and corners all a nine five Minnesota Twins Randy Lou that's from 2018 Bowman's best. That's box one box two starting off with Vlad Guerrero, Jr. 2019 tops complete set Fielding PSA nine guessing the fielding is a short print Toronto Blue Jays Chad Salisbury the complete set Right there for you. He should have a big year this year. I'm excited to see what he can do with all that weight off and Jacob DeGrom 2014 tops update rookie PSA nine throwing variation New York Mets again Jonathan Rivera and my guy tops heritage rookie PSA 10 one Soto Zach Paul the Nationals He is booming right now. There you go, dude. Congrats box number two And our third in front of us first up Fernando Tatis, Jr. Top Silver Pack 1984 Chrome promo rookie PSA nine Padres Steve Birch Marco Luciano Bowman first Chrome PSA nine From 2019 Bowman going to the Giants Chris Walker and our final hit of the break Jason Dominguez paper prospects PSA 10 for the Yankees and Brian Kim From 2020 Bowman very nice lots of good names in there Huge year for the lot of those guys coming up this year and there you go guys That was 2021 break King premium edition baseball three box case break random team number one from Jaspies case breaks calm I'm Sean Jaspies case breaks calm. Thanks for hanging out. I'll see you next time


In this module, we will talk about the oxygen delivery system in a fermentation vessel. So along with the agitation system, the oxygen delivery system or aeration system is very critical. So as concerned, the oxygen delivery system that is consist of a compressor that compress the air that can be an ordinary air having we know that what is the chemical composition of a common air having 21% oxygen. So we can use a pure cylinder of different gases as the requirement of the fermentation process. And then the second part is inlet air sterilization system very critical because fermentation process need a septic operation. So that is only one source of contamination that is the air. So if we assure the sterilization of that air supply to the fermentation medium because they have to the direct contact with the fermentation vessel. So the air sterilization system and the third is air sparger. Air sparger basically these are the select or the pores of that pipe which fit inside the fermentation vessel that basically give a proper size and the shape to the air bubbles inside the fermenter. And the fourth one that is the exit point just to maintain the containment regulations. You can see in this diagram that a compressor and this is a sterilization system and this one is a sparger system and then there is the exit air system and that is fitted with the sterilization system. So what is the role of the compressor? Compressor force the air into the reactor because air has to pass through the sterilization system and the sterilization system mostly consist upon the filter that we will talk about later on that has a very tiny pores and air can only pass through those filter in a force condition in a high pressure. So that is why air compressors used for the large scale bioreactors typically produce the air at 250 kilo Pascal. So the air should be dry and oil free. Why? Because when different compressors that when they move their piston move that having the lubrication. So that when that compress the air then there is a oil particles can come into the fermenter vessels along with the air. So sometimes that can that also have the mix with the water vapors. So while selecting the compressor and for the fermentation need we have to be very careful because as concern the instrument air that the compressor is not used. So our air should be the oil free and we have to use those compressors which produce oil free air with the required pressure. So as concern the automatic control of the compressor either that how much is the pressure inside the container in which the air is stored and then is there any filter just to check the supply of that air free from the oil. And then so we can see that if there is an automatic control just to maintain that pressure that we required and then the actual quality of the air that we need for the fermentation process though so the compressor and the next system is very critical while having the oxygen delivery system in a fermenter of any kind of fermentation. . . .


Garbage and recycling. Garbage.  It is made up of things that we throw away like bad food, old clothing, or broken appliances. Dump.  Another word for dump is landfill. To reduce the size of dumps, you can recycle some of your garbage. Reduce. Reduce means to make smaller or less in amount. We can reduce the amount of garbage in landfills by composting and recycling. Reuse. When you use something again, you reuse it. Instead of putting a water bottle in the trash, you can fill it with more water and reuse it. Recycle. Recycle means to change something into material that can be made into something else and used again. Glass and newspaper are examples of things that can be recycled. Medications. Medications are taken to cure or prevent illness. Another word for medications is drugs. You should return old medications to a pharmacy. Do not put them in the trash. Cardboard. Cardboard is thick, stiff paper that boxes are made from. You can recycle cardboard. Recycling cardboard can help reduce waste in landfills. Glass. Glass is hard, clear material that is used in windows and bottles. Glass bottles can be recycled. In some places, you must separate glass from other recyclables. Plastic. Plastic is a synthetic material that can be molded and made into things like toys. Plastic bottles are recyclable. Plastic bags cannot be recycled, but they can be reused. Contaminated. Contaminated means that something is dirty or dangerous. Water and land can be contaminated by chemicals. Places and water that are contaminated are not safe to live in. Compost. Compost means to let old food waste turn into dirt. Dirt that is made by composting can be used in gardens. Composting helps reduce your amount of garbage. Sustainable. When something is sustainable, it stays a certain level so that we will not run out of it. Sustainable living can reduce our use of natural resources and help the environment. The end.


During worship, I saw an image where a lizard was holding someone's spine and like a Literally wrapped itself Behind someone's spine. There's somebody here who has a spine problem and your problem is demonic That demon literally has that thing wrapped during the whole worship I just kept seeing that image and right now during this prayer We are going to pull that thing out of your spine Feel strongly somebody's gonna be healed all the scoliosis and spine today in this room in Jesus name say every snake every lizard every python wrapped itself around my neck around my spine around my bones around my brain Right now. I pull you out.  I break the spirit Right now open up lift speaking to break the spirit as begin to say I break the spirit right now It's being to say I break the spirit Say I break the spirit.