This lecture is part of an online commutative algebra course and will be a continuation of the previous two lectures where we were trying to show that the three different definitions of the dimension of a local notarian ring are all actually equivalent. So let's just quickly recall what we did in the previous lectures. So we had three ways of defining the dimension of a notarian local ring. We had the crawl dimension and we had a definition using degrees of Hilbert polynomials and we have had a definition and the minimal number of elements of a system of parameters. And in previous lectures we proved this inequality and we proved this inequality. So in this lecture we're going to prove that the definition using a system of parameters is at most equal to the crawl dimension. So this is the inequality we're going to do now. And of course once we've proved these three inequalities this will prove that these three different definitions are all in fact equivalent to each other. So before proving this we need a lemma called the prime avoidance lemma for a reason that will appear in a moment. And the problem is the following. Suppose we're given ideals, finite number of ideals p1 up to pn contained in a ring R. And suppose we're given an ideal i of the ring R. And the problem is find some value x in i where x is not in any of these other ideals p i. Well there's an obvious necessary condition which is that i is not contained in p i for any i. Because if it was then obviously we couldn't satisfy this condition. So the picture is something like this. We've got this ideal i and we're trying to cover it by a finite number of ideals say i1, i2, i3 such that none of the ideals i1, i2 or i3 contain i. And this can sometimes happen. So here's an example. Let's take R to be the ring f2xy. That's the field with two elements and we're having an algebra generated by x and y. Let's just kill off all products of two of these. So this is an artinian ring. It's a three-dimensional algebra over the field with two elements with basis 1, x and y. And if we take the ideal i to be generated by x and y then i has just four elements 0, x, y and x plus y. And if we take the ideals p1 to be the ideal generated by x and p2 to be the ideal generated by y and p3 to be the ideal generated by x plus y, then each of these contains just two elements which is 0 and its generator. And i is contained in p1 union p2 union p3. So we can't always find an element x like this. However, we can find x with x in i, x is not in the pi, if all the pi are prime. So this is why it's called prime avoidance. We're sort of finding an element x that avoids all these primes. In the previous example, we note that p1 is not prime because say for instance y squared is in p1, because this is 0, but y is not in p1. So none of these three ideals are prime ideals. So let's show how we can prove this. So here's a proof. We can assume that pi is not contained in pj for i not equal to j, because if it was, one of these ideals would just be redundant and we could throw it out. Now we're going to use induction on n, where n is the number of ideals p1 up to pn we have. So n equals 1 is trivial because we can just pick x is in i, x is not in p1 because we assumed that i is not contained in p1. And now by induction, let's pick x is in i, x is not in p1 up to pn minus 1, which we can do by induction. Now if x is not in pn, we're done. We found an x that's not in any of these pi's. So we can assume that x is in pn. And now what we do is we pick y not in pn, so yi that's not in pn, but yi is in pi, which we can do because pi and pn neither is contained in the other. We can also pick an element y in i with y is not in pn, again because i is not contained in pn. And now let's look at the element x plus y times y1 up to yn minus 1. And we're going to show that this element satisfies the condition we want. So first of all, we notice that x is not, so x is in pn. On the other hand, this element is not in pn. The reason it's not in pn is that y and the yi are not in pn and pn is prime. So if none of these factors are in pn, then the product isn't in pn because pn is prime. So we conclude that since this is in pn and we're adding something that's not in pn, this is not in pn. Next, we observe that xi is not in pi for i less than n, but this is in pi for i less than n because yi is in pi. So again, we've got the sum of something that's not in pi and something that's in pi, so this is not in pi for i less than n. Finally, we need to show it's in i. Well, that's easy because x is in i and y is in i, so this is in i. So we're adding two things that are in i, so this is in the ideal i. So we found an element that's in the ideal i but not in any of these prime ideals that we started with. If you're a little bit careful, you don't need to assume that all these numbers are prime. For instance, we never actually assumed that p1 was prime, so we can allow one of these not to be prime and there are various slight strengthening of this you can do. Okay, well now that we've done this lemma, let's get on to proving the main theorem. We want to prove the minimal size of a system of parameters is less than or equal to the curl dimension. Let's call the curl dimension d. So given a curl dimension d, we need to find the system of parameters x1 up to xd of size d. Well, we only need less than or equal to d but we'll actually find one of size d. And we're going to construct this as follows. So we're going to construct x1 up to xd with the following property that every prime p containing x1 up to xi has co-dimension greater than or equal to i. You remember the co-dimension of a prime is the largest length of a chain of proper inclusions p0 containing p1 up to pi which is equal to p. Well, it's easier to think about what this condition means if you're trying to think about it geometrically. So we think of the xis as being functions on some space or variety and then we might have x1 equals 0 or what is going to be some sort of hypersurface and then we might have another hypersurface say x2 equals 0. So if I'm taking i equals 2, I've got two hypersurfaces. And what this condition says is that every prime containing x1 and x2 is co-dimension at least 2. And the primes correspond to irreducible sets contained in the intersection of these two hyperplanes. So what it means is that if you take two hypersurfaces given by functions xi equals 0 then all components of that have co-dimension at least 2 and so on. If you take three hypersurfaces all components of intersection at least 3 and so on. So we're eliminating the degenerate case where you might take an intersection of three hypersurfaces and it only is co-dimension 2 or something. So we're going to try and find xi with this property. So suppose given x1 up to xi minus 1 and the problem is we want to find xi. So in this particular case suppose x1 and x2 kind of look like this. What we're trying to find is some sort of x3 such that the hyperplane x3 equals 0 intersects all components of x1 and x2 equals 0 in some set of higher co-dimension. So for instance we don't want x3 to vanish on this component here. So that's the geometric intuition. Now we actually need to construct it algebraically. First of all we notice that only a finite number of minimal elements of primes p1, p2 and so on containing x1 up to xi minus 1 of co-dimension i minus 1. Well what does this mean? Well the primes p1, p2 and so on correspond to the irreducible components of the intersection of these hyperplanes of largest possible dimensions. They're going to be of co-dimension i minus 1. Here in this picture we would have i equals 3. So we've got x1 and x2 and we're trying to find x3. And the reason they're only a finite number of these is that these just correspond to the associated primes of r over x1 up to xi minus 1. And they're only a finite number of associated primes of a finitely generated module. Now none contain the m which is the maximal ideal. And the reason for this is that this has co-dimension equal to the curl dimension which is greater than i minus 1 otherwise if i was equal to d we would have finished. So d is greater than i minus 1 but all the ideals pi have co-dimension equal to i minus 1 so they can't be equal to m. So by prime avoidance we can find xi with xi is not in p1 not in any of the pis but xi is in m. So here we're taking m to be i in the prime avoidance theorem and m is not contained in any of the ideals pi and all the ideals pi are primes so we can find some xi with this condition. And now we notice that all primes containing x1 up to xi have co-dimension greater than or equal to i.  So as I said geometrically what's going on is that we're just choosing xi to reduce the dimension of each of these components which correspond to these primes pi by at least one. So to summarize we've constructed a set of numbers x1 up to xd such that it satisfies this property here. So to finish off with we now need to show that x1 up to xd is a system of parameters. So how do we show that? Well that's quite easy because we know that any prime containing x1 up to xd has co-dimension at least d because that's how we constructed x1 up to xd. Well this is equal to the crawl dimension of the ring r so the only prime ideal, the only prime of co-dimension d is the maximal ideal m because d is the crawl dimension. So x1 up to xd is m primary if you remember what m primary means from earlier this course. So it contains the power of the maximal ideal m so x1 up to xd is a system of parameters. So what we've shown is that if d is the crawl dimension then we can find a system of parameters of size d. So the minimal size of the system of parameters is less than or equal to the crawl dimension of a local ring r. So putting this together with the two results we had in the two earlier lectures here the crawl dimension is equal to the dimension defined using Hilbert polynomials which is equal to the dimension defined using a system of parameters. Okay that's the last three lectures proving the equivalents of this are probably the most technical result of this course. Next lecture we will be giving some applications of the equivalents of these three different ways of defining dimension.


Moderate exercise improves immunity and decreases illness rates. By far the most important finding that has emerged from exercise immunology studies over the past two decades is that positive immune changes take place during each bout of moderate physical activity. Over time, this translates to fewer days of sickness, with the common cold and other upper respiratory infections. We're talking a 25 to 50% reduction in sick days. I named one drug or supplement that can do that, and it doesn't take much. Let kids run around for just six minutes, and you can boost the numbers of immune cells circulating their bloodstream by more than a third. And at the other end of the life cycle, exercise may help prevent age-related immune decline. Sedentary women in their 70s may have a 50% chance of getting an upper respiratory illness during the fall season every year, but walk a half hour a day, and your risk is down to 20%. And the runners in the group got it under 10. That's just like a five-time better immune system. Now, while regular physical activity improves immune function and lowers upper respiratory infection risk, sustained and intense exertion may have the opposite effect, forming a so-called J-shaped curve relationship. As you go from inactive to active, your infection risk declines, but hardcore athletes that over-train may actually put excessive stress on their bodies and increase their risk of infection. Then you could lose training days, your performance could suffer. So what can you do? Well, traditional sports medicine doesn't appear to have much to offer, advising athletes to, you know, don't pick your nose, avoid sick people, get a flu shot. A new study, though, found that one can better maintain one's level of circulating white blood cells after exhaustive exercise by consuming a special type of fiber found in bakers, brewers, and nutritional yeast. Brewer's yeast is bitter, but nutritional yeast has a nice cheesy flavor. I use it mostly sprinkle on popcorn. Anyway, normally two hours after cycling your brains out, you can experience a dip in circulating monocytes, one of our first line of defense white blood cells. But those who had been eating the equivalent of less than three quarters of a teaspoon a day of nutritional yeast ended up even better than when they started after strenuous exercise. But does this increase in immune cells translate into fewer illnesses? Well, let's try it on some marathon runners. In the weeks following the Calls Bad Marathon, this is how many runners reported to experience upper respiratory tract infection symptoms taking a placebo. But if instead they had the equivalent of a daily spoonful of nutritional yeast, they cut their rates in half. What's even more remarkable is that they felt better. They asked how they felt on a scale of 1 to 10. People taking the sugar pills were like, OK, down around 4 or 5, but those taking identical looking capsules of the fiber found in nutritional yeast were up at like 6 or 7. Evidently, elite athletes tend to normally experience deterioration and mood state during intense training periods and before and after a marathon race. But sprinkle a little spoonful of nutritional yeast, and you may feel less tense, less fatigued, less confused, even less angry, and my favorite, significantly more vigor.


You're talking about having to pry the artists out of these labels that aren't promoting them. I just wonder, what is the label getting out of that situation, or why would they not want to release them? The real answer to that is they're getting nothing out of it.  So all of a sudden they've got a bigger problem than they may have wanted. There were some instances where I would be negotiating a deal and getting somebody onto the label and then in exchange asking for them to release artists back off. For example, I did a joint venture deal at Atlantic for Twista in 96, and part of his deal was Atlantic letting Mad Skills go and another group. I can't even remember the name. It was Abstract Something, letting them go so that they would be free from their contract. And Atlantic had no problem with that because they wanted Twista. We had sold 300 and some odd thousand CDs. It was CDs back then. 300 and some odd thousand CDs independently. So if I had asked them to stand on their heads in Times Square, they probably would have done that. Well, so is it ever the case that a label has paid for an album to be created and they don't want to, as though they feel like they're in the hole? Yes. But if they're not going to put it out, it's not really the artist's fault. Sometimes we've been able to leave with the masters, sometimes not. Sometimes they've held on.  For example, Jay-Z used to be signed to a small independent company through Priority Records. And it was a one-off and they didn't renew his deal. So he was able to leave and start Rockefeller Records.  So something mostly you just kind of have to bring it to their attention that this person will be better off here. And then there are times where they've signed somebody that's not doing very well. So they're very happy to get rid of them. And it's much easier when somebody else is asking to let them go, then for them to just go through and drop all the artists that are signed to them because there's no financial incentive for them to drop an artist. But if somebody asks nicely and that somebody happens to be a person doing a lot of deals, I could see where they might not want to piss me off because I can help make the money.


So, yes, TV drives brand metrics in this age of multimodal consumption and I think really the competition in terms of spends is between three mediums today. One is TV of course, which is the highest, second is print which is the second highest and third digital which is climbing up the charts far faster than what one would have imagined even five years back. So, why do I say this, but before I say this I just want to spend a little bit of time. My career in Hindustan Leavers was there for almost a decade, moved on to a completely new world of startups at BigBasket and over there I was part of two fundraisers that happened the first one with Bessemer and the second one with Alibaba and then moved on to Medlife and now again in the middle of the first fundrails that Medlife will do. So, one thing that has come to my notice and one thing that I have realized which is so dear and so precious is that the brand equity, the value that the brand commands is the single largest portion of any valuation exercise right and how important is that 37 percent the single largest item in any valuation sheet is actually to the brand and that is why moving brand metrics is so important and that is why it is the obsession of every brand market here to actually build this, but the startup world is what actually got this to my notice in a very stark way right and what do we typically follow and chase after in terms of brand metrics as brand managers later on CMOS and so on. First of course salience, all of us wants to have Tom's scores that are like the highest and completely rocking through the roof, all of us want to at least have the best in terms of spontaneous recall too and these I have found over the years being very very strongly correlated to sales and business metrics right and of course consideration if you have high salience your consideration will be high unless you are a shitty product right and are there in the news for very wrong reasons and then finally the other metric that every every brand every brand owner and did I have coveted for throughout has been differentiation who doesn't want to be differentiated and own a sweet spot in that customer mind which you know they go into eternity with so yeah so the first part that I wanted to make clear and absolutely clear over here is when I say TV drives brand metrics I am really talking about these metrics I am talking about equity that drives valuation I am talking about the salience and consideration that drives sales and business revenue numbers and finally differentiation that makes the brand a legend right I am going to quickly move to the boring slide but bear with me while I very quickly cover it so some data validation as to why I believe TV drives brand metrics first one media consumption obviously the highest share 59 percent and then you have digital following a following with 30 percent and increasing second one is the number of advertisers the stop on his TV and that's why the numbers aren't visible but 12,000 brands advertised on TV compare that with a million plus on digital which do you think will get better recall right obviously the one where there is less clutter and more importantly if you were to actually and this is a hypothesis this is not the truth I don't have the numbers but if you want to look at those 12,000 brands that are actually advertising on TV today they would be most likely spending at least two-thirds to possibly even 80 percent of their budgets on TV it is the brands that cannot advertise on TV given that the initial outlay over here is pretty high you can't do with you know one like budget on TV who will not feature over here but for the brands that do advertise on TV bulk of their budgets and spends go on to TV and that tells you why they are making these choices right trust in messaging this is the Nielsen survey not very recent but this was done sometime in 2016-17 but it says that TV in terms of trust is forth coming after the first one which is word of mouth I trust much more in what somebody else my neighbor my family my friend tells me followed by print ad which is at 71 customer reviews online is 70 and TV is not too far off it is actually at 68 percent compare that with the others print ads so print editorial is at 71 but print ads is actually at 63 right so it also shows from studies that TV is the one that will drive much much more trust in whatever brand messaging that you're going to bring about and lastly reach in India it reaches about 835 million people which is by far the largest and a simple metric or a simple truth of marketing is as a marketer I will put my money in that medium if I have the monies that gives me the largest reach so yeah if I have to build my brand amongst the masses TV is where I will go but all this having been said and done and this is also coming from my experience back in big basket when we wanted to actually explored the market and we had tried it for quite a while with just being digital only and print digital and print is what we were using for the longest time but we when we wanted that leap when we wanted that step jump to happen it is TV that we went to and it indeed delivered and I can say the same thing for med life over here we were for the longest time for three years in our existence a digital only brand sometimes using print and in 2018 mid is when we started using TV and it has indeed been one massive jump in terms of overall business in terms of metrics and indeed in all the attention that we've gotten so it has empirically also worked for us and this is what I want to basically put on over here but there is one change if I have to go back to my levers days and now with the entire startup e-commerce ecosystem only TV will not work right so it will but it will and should be the lead medium because nothing else drives it the overall those metrics that I talked about much better than any other medium that I have worked with so far so it's all empirical and exceptions prove the rule I know a lot of people will jump up and say key but oh so what about Red Bull oh what about some other brand some Lulu something that they talk about and they prove the rule you can't you know use exceptions and sake if I know but this doesn't really follow the rule for me this has always been the axiom that exceptions prove the rule rather than set it the other way I just have one more slide and this is really because this is a forum of a lot of broadcasters and this is also forum where you have advertising platforms over here I want to leave this thought with you guys which is you know and this is something that also happened in the panel discussion some things have to change right and why do they have to change again coming back to being a brand and a brand custodian we rely on customer and customer insights and try to really understand them this is also you basically trying to understand us who are really handling handling companies and brands and categories right we are getting very very used to the kind of targeting options and metrics and measurements that digital gives right and therefore if pardon me there was a gentleman here speaking about bark and how bark has the highest sample but the point is yeah they'll make more right we have become used to and are slowly starting to want more and more of that TV is not at all an option for regional brands barring south and even in south it has to be something that a brand is applicable for the whole state right if I want to do something in only Richie if I want to do something in only Hoobley or if I want to do something in just Mughals are I I can't do it with TV one of the things that I hated about TV advertising while I was at big basket is big basket is only there in 25 towns right or then 25 cities in the country but my advertising would reach to a vast number of people outside of these 25 cities and I had no control over it and I couldn't even do anything about it right so it used to be pretty upsetting that so much of money was going out and to a whole set of wrong audiences and we would love to see some very creative buying options being presented to us as marketeers and once you start doing that because you you compare it with the other world there are so much there is so much more innovation whereas I don't see that quite happening over here it is it is one thing about talking about ears and CPR fees and the other ways of buying but let's let's get a little creative on this medium to because in general that is a trend to which people are going and it would be great to see TV also come and present us with various creative options as much as the other medias are doing and that's pretty much it that's why I believe that TV builds brands and drives brand metrics in this aid of in this age of multimodal consumption. Thank you.


Hey yo, I'm easily fascinated, I'm feeling so creative It's your boy Stevie, I'm a planet Earth native I'm enjoying all the moments cause you're such a thrill living And I'm not sure if you notice, listen up, we're still spinning Yo, let's go, what's good? Good morning, day 2, it's Tuesday, Topsy Turvy Tuesday Teach me something Tuesday, yo It's the second day in a row of the daily still spinning Still spinning daily is what I'm going to try to call it as Cause the whole podcast is still spinning, but this is the still spinning daily Maybe I'll separate it into seasons and to like make it all order Anyway, point is, I'm making progress Should I have a more, what's it called, planned out structured thing? Maybe, does it hurt cause it's all over the place? Maybe, is it my strength to just kind of keep adding things and testing it out? Not that's how I work I think, I mean that's how it's always been I'm loving it, it's growing, is it growing as fast as it could be? I don't know, but it's growing and I'm loving it So yeah, I'm doing this the second day in a row with the podcast With the video in the morning, it's a lot more work I'm trying to drop it in 4K, I don't know if last, yesterday it was supposed to be 4K But I don't know if like the upload lets it go 4K, but it's tough to get Anyway, what's good, what are we doing? We're still spinning, I got a perfect topic for today If you watched my Instagram, I started watching black holes yesterday on Netflix Woo, I'm gonna leave you with that, that's literally all what today's about Is it was Neil deGrasse Tyson and a few other astrophysicists, I really should know who they are But whenever I scroll Netflix and I see a new science show and Neil's in it, it's over And also it was black holes and it's been like a minute since they've dropped a new big space documentary type of thing So I'm like black holes and they're just insane They start playing the show, black holes are invisible, they rip stars apart And then, I don't know, they heard one collide with another one And it heard like a little chime like ding, and they're like that was a black hole colliding with another black hole That's proof that that happened billions of years ago And so I'm like huh? And yeah, just knowing that that's happening and we're trying to figure out what those are And when they collided that chime that caused gravity, like a wave of gravity and everything else is gravity Oh my god, it was mind blowing I was kind of drifting in and out because it was the end of the night and I was kind of really, really hard to focus after at that point But I'm gonna keep watching it, but that is just exactly what this podcast is about That's happening right now, there's black holes, we're kind of getting sucked towards one right now And then the part of gravity is like they dropped an apple and they said okay if I drop the apple I'll catch it My hand stops but if I take away the hand, take away the floor, take away everything, it just keeps falling Einstein came up with this, I think it's his theory of relativity where everything's just falling And why is it falling? It's like the earth, I thought it was like the earth's core or something had gravity But it's just the objects in space The black void of space is not just empty, it's like a, think of it as like a fabric And all the objects are kind of pushing on the fabric There's an image that they show on the show that you've probably seen if you just type in the fabric of space It looks like a blanket and all the stars and planets are kind of pushing in dense on the blanket So that curvature is what the, they're like making curves in the fabric of space So gravity is just the curvature of that space I don't get it either, okay? It hurts my brain but I love that Because then I walk outside and I'm like oh we're just a black hole getting yanked And then I remember oh okay I shouldn't be so embarrassed about another human looking at my face Or whatever the anxiety is because it doesn't matter And we have no clue what's happening So yeah, black hole Tuesday, get up, get going I did isometrics first thing in the morning Like literally the second I woke up because it hurts like stiff when I sleep It hurts to sit on this chair actually so I'm doing this for you That thing, I'm doing isometrics and the reason why I wanted to say this is because My hamstrings hurt from Dunk Camp, jumped way too much And the reason why I think it's isometrics help instead of just rest is because It's so tight I sit on it a lot and it's kind of keeping it stiff So I need that blood flow in there And isometrics you just kind of lift your leg up If you need to know more about isometrics just YouTube hamstring isometrics You kind of like lay it in a reverse plank and you lift up one leg and just hold it there And that like tension of the muscle, you're kind of like flexing the muscle hard But the movement is dangerous because since it's so damaged if I try to move it It might overload it pretty easily but since I'm not moving Just holding that position stimulates a lot of blood flow And I need that blood flow and also like to get it to repair Like the same way you build a muscle, it breaks it down and then it repairs bigger I need to do the same thing for the tendon to recruit the recovery mechanisms I believe it's like collagen or whatever the hell Anyway, side note I really want to learn more about anatomy and nutrition I think it'll add to my coaching business So and if you're listening to this podcast it's on YouTube as a video And if you're on the video as a YouTube this is all on audio all podcast platform So help your boy out and subscribe to all those things What am I doing right now? I'm giving you an update of everything I'm thinking about how I go nonstop Because that's my strength is that energy I'm wearing the shirt today The energy bro is that start the day instant I feel like I'm raising my baseline of my capacity I feel great I slept great had a million dreams definitely about space What else happened to my dreams? I can't remember because I stopped keeping my phone by my bedside Because I'm friggin after it even when I sleep I want to get the maximum sleep I lay there like a friggin like I'm in a coffin And it's actually been working really well I've been sleeping great and falling asleep fast But I just don't have anywhere to write my dreams down because my handwriting is terrible I try to do it in my journal in the middle of the night and it looks like I'm blind Because I am because it's dark but also I don't even know how to use my hand in the dark when I'm half asleep So it's literally illegible I tried I literally cannot read a single word Sometimes it's I don't even know we'll try it well maybe we'll read what my dreams look like I'll try to read it it'll be funny Anyway, I feel that sharing my experience sharing my thought process is the best way I can do the most inspirational energetic type of podcast which I love to do I love doing it I love sharing that the clients I've been working with It makes me feel ready so going well keep making progress I would say if you're trying to get anything done make a plan about it But also go with what you feel you need to do and just start Don't just blindly start just do what I say this every podcast but just start and do it Let's go have a good Tuesday remember that there's black holes sucking you through the fucking fabric or space And there's nothing matters Love you


Hi today, I'm going to talk about one way I teach shapes to my students Today, I'm going to talk about rectangle a square a triangle and a circle So I would sit my students down on the carpet and I would tell them boys and girls Everything's made up of shapes. You can find shapes everywhere you look and so then you could talk about the first shape a Rectangle boys and girls. This is a rectangle. What is it and they'll repeat rectangle? I know this is a rectangle because it has two sides that are long and two sides that are short So we know that this is a rectangle. I can find rectangles in many places Can you find a rectangle and then you would have them look around and see if they can find a shape? That looks like a rectangle And then I pick up my next shape. I would say this is a square boys and girls. What is it? It's a square squares are very special because all of their sides are the same length So this side is equal to this side is equal to this side and is equal to this side. This is a square So squares are special because any way you turn it it still looks the same So this is a square can anybody find a square and then we would look for a square in our environment And then I pick up the next shape, but I'd say boys and girls. This is a triangle. What shape is it? It's a triangle Triangles have three sides. Can you count the sides? Let's count one two three This is a triangle and then have the kids look around to see if they can find any triangles in their environment And the last one this is a circle boys and girls. What is it? It's a circle a circle is special because it doesn't have sides. It has Curves take a look it curves around no straight lines on a circle Can anybody find a circle and so then we would just look in our environment for those shapes And that's one way I teach shapes Thanks


What's up everybody happy new release day guys 2021 penini basketball Flawless edition is here and sold out. This is a two-box case break break is number one I Think Nick even put a note of it If such a card as the LeBron James triple logo man Lakers heat calves estimated over 750,000 value is pulled We will discuss the options with all partial owners of the card if applicable Jaspy's Does not do majority rules now. I think for this reason just because it's such a huge card We're just gonna make sure all the owners obviously understand what they want to do with it, and I think that's a special special request there So that way there's nobody terribly upset or sad But in any other scenario usually randomize everything, but I think in that sense It's gonna be pretty crazy. So there you go guys. So here's everybody that bought spots in the break straight up Thank you guys big itchy number one in the books and Here are the customers in the random number block Philly Orlando Portland. There's those customers there and For the second RMB that included Brooklyn okc Phoenix Washington and LAC Clippers flawless basketball Cases right there guys Hobby edition I think these briefcases might sell for the most Like That's a riso right because you'd be like dude this might have like this had the so-and-so card in here, bro One of pigs, but I just want to block the cars Can't see anything I can't see nothing I can't see nothing Should be blocked now is that Close it You Watch 15 and zero Anthony Edwards. I know dude. Well, yeah, it's gonna be tough to hit some of these bigger players Honestly, it really is it really will be First one is Paul Mills app that is two out of ten Two out of ten for the nuggets Denver Nuggets Wayne with that one. We have for the Denver Nuggets again.   Is this a Denver Nuggets box? Geez, that's three hits already. That is nine out of 15 draft gems zig nausea Denver Nuggets already on a tear Wayne with that one. I know him from holes Sploosh They created sploosh Alvin Hayes for the Washington Bullets, which of course should be going to the Washington Wizards Four out of 15 and again Washington Wizards would be part of the R&B. That's for going to Gretchen We have a Devin Vacelle nice RPA two-color patch five out of 15 little Ruby And that is going to the Spurs straight up Derek Derek straight up in Spurs. Oh, we got two left before the encased For the Dallas Mavericks Jason Kidd Mavericks also going to Joseph Barton two out of 25 and last one before the two encased cards guys. Good luck We have a star swatch signatures. What a box break for the Denver Nuggets Nicola Jokic three-color patch 15 of 15 ruby Look at that Denver Nuggets Wayne. It's raking that was Four cards. All right. Good luck guys first encased card here Let's say this might be a diamond. Oh nice. Jack. Did you really awesome, man? That means we're just one away then and we have a bam adabio Little diamond relic six out of ten for the Miami Heat going to Chung What's up Aaron so far so good my first flawless break of the day So far so good All right, let's see what we got here. Good luck. Good luck. Good luck. It looks like it says draft gem So it's gonna be a rookie signatures Tyrese Halliburton two out of ten for the Sacramento Kings Kings and not do well yesterday, but still very nice hit Halliburne for the Sacramento Kings that is going to Gretchen. There you go. Who also has a Sacramento Kings? Two out of ten there you go First one in the books nice nice. Let's go with Numero dose Again guys, it looks like JV Jack actually did sell out the whole round of number block for the Mavericks Thunder Clippers, etc. So that means that we are just one random number block away from selling out picker team number two And again that round of number block also is a pretty big Same price just three teams Sixers Orlando magic and Portland, I believe so we can run back number two right away guys if you guys want to light these up again Remember I can't see I can't see I can't see Block it block it block it there we go This box is thick or at least it felt like Yeah, I think Halliburne is a little bit more common than like Anthony Edwards and Lamello I feel like they really teared out like the big players like they put literally like Lamello Wiseman and if anything Anthony Edwards like in their own class or maybe just them two in their own class Goren Dragik to start us off for the heat Uh eight edits 15 Again so far, you know these cards look pretty sharp. They're they don't seem to be too dinged up as sometimes they are Especially the loose cards but Yeah, no card is always perfect, but still Yonis Valentunis for the Memphis Grizzlies 10 out of 15 Uh, Memphis Grizzlies that is going too shawmatic Yeah salty, but I mean what I'm saying is that like If we see a lot of Lamellas and not saying that there's more Lamellas than Anthony Edwards It's just the cases that people have been opening have had Lamellas, you know It's like we're lucky, you know to see that Siddiq Bay 6 out of 15 Detroit Pistons Yang with that one Whoa, that was John Moran for a second there Brandon Clark 10 out of 15 nice two-color patch and autograph. He's still a pretty good player as well in the NBA Memphis Grizzlies going to shawmatic I don't even know. Is John Moran in this? I assume he is We have for the Denver Nuggets the Kembe Matumbo 9 out of 15 We have a Gary Payton our first emerald out of 5 Gary the glove Peyton Look at that 4 out of 5 little color match for the Sonics Which of course be going to the Thunder and that'll be part of the random number block Which will be 4 out of 5 going to Gretch Very nice Gretch Sonic fans will love that We have a Patrick Williams Little Pat Williams 12 out of 15 And that's going to the Chicago Bulls going to Hilmar There you go And the last one here is an Emanuel Quigley three-color patch and autograph Little rpa for the New York Knicks Going to Mike Very nice 9 out of 25 It's a great rpa right there. I don't know. I'm having a feeling this might be a veteran Incase cards in this box Hopefully some big ones though First one's a diamond And it is Kawai Leonard 15 out of 20 Little diamond for the Clippers Clippers RMB 5 going to Eric You go Eric On the board. All right. Let's see what we got here, man. Good luck guys Second one. I don't know if this is sideways. Oh, it is sideways Wow James Wiseman for the Golden State Warriors One out of two Look at that game worn used material encased Who has the gold shawmatic with the Golden State Warriors? That looks amazing That must be one of the tags right the one of twos Very nice Nice. So the encased cards actually were rookies. Wiseman and Halliburne sweet All right guys. Well, there we go That was the two briefcase break flawless pick your team number one in the books Again guys, the next one is on the website and um I don't know if it's sold out already or not, but let's take a quick look Looks like we're down to seven left So the first round of number block already sold out jack actually got all the spots straight up So we're just seven away from selling out picker team number two If you guys want to run it back picker team number two round of number block for the sixers magic blazers Unfortunately, nothing was hit for that round of number block. So there could be something in number two Uh, but again jasky's case brace dot com. Appreciate you guys