President of the United States and Secretary Bennett. Mr. President, I would like formally to present you a copy of what works. It is aimed at the improvement of the education of our children. Thank you very much, and thank you, Secretary Bennett. Ladies and gentlemen, in the last few years, the American people have been asking, what can they do to improve American education? And today I think we have some pretty good ideas. Let me interject right here that it's quite a novelty for me to have principals visiting my office. But I'm pleased to be here today to help Secretary Bennett present this book that is called What Works? And you all know I'm sure by now that before you leave here today you will be receiving this particular report. This little book is only 65 pages long, and that's pretty short by Washington standards. But there's more practical, useful information packed into these 65 pages than in a whole mountain of most government documents. This book is for the American people, parents, teachers, principals, school board members, state legislators, and any adult who's responsible for the education of a child. And it tells you exactly what the title says, what works when it comes to teaching and learning. The Department of Education has gathered the best available research. We know from experience that certain tools work and work well when it comes to teaching and learning, and this is a practical guide to those tools. What Works makes its appearance at just the right time because we've had some encouraging news about our schools lately. Just two weeks ago we learned that since 1982 senior high school students in 35 states have improved their academic performance. We learned that graduation rates are up and dropout rates are down. And last year, as many of you know, SAT scores rose nine points and that was the largest annual gain since 1963. Yes, we are making progress, and this book can keep us going in the right direction. When you look inside What Works, you'll discover that some of the research findings aren't really very surprising. That's because sound educational practice is based on something Americans know a lot about, plain old-fashioned common sense. On discipline, for example, What Works says this, schools contribute to their students' academic achievement by establishing, communicating, and enforcing fair and consistent education policies. That's good to know because for 16 out of the last 17 years, Americans have said that lack of discipline is their number one concern about schools. Here in Washington, we've been addressing this concern. Our Department of Justice has supported efforts to make sure that teachers, principals, and school administrators have the authority they need to run orderly schools. And at my request, the Departments of Justice and Education are examining initiatives that would enhance the ability of state and local officials in maintaining school discipline. On the importance of teaching our children character, What Works is just as forceful. Quote, Many highly successful individuals have above average but not extraordinary intelligence. Accomplishment in a particular activity is often more dependent upon hard work and self-discipline than on innate ability. Well, again, that's good to know because Bill Bennett and I have joined thousands of teachers and parents in arguing that we should teach our children fundamental values like respect for hard work. On a related subject, our administration is called repeatedly for tougher academic standards. And indeed, academic standards have been rising across the country as the education reform movement has made itself felt. But is there any evidence that higher standards actually make a difference? Well, I've flipped to page 59 of What Works. The stronger the emphasis on academic courses, the more advanced the subject matter and the more rigorous the textbooks, the more high school students learn. Homework is another aspect of education that Bill Bennett and I have joined parents and teachers in stressing. And again, the research in What Works is conclusive. Student achievement rises significantly when teachers regularly assign homework and students conscientiously do it. So there we have it. What Works confirms the common sense of the American people. Teachers in the old days may have worn granny glasses and taught in one-room schoolhouses while today's teachers jog to work and use computers in the classroom. But teachers still know what they're doing when they must tell Johnny to behave, ask questions in class, and do his homework every night. And good teachers still know what good teachers have always known. We don't need a lot of government interference and fancy gimmicks to produce good schools. What we need is to concentrate hard on basic academic subjects and fundamental moral values. Nearly three years ago, our administration issued a report called A Nation at Risk that made headlines. That report concluded, quote, if an unfriendly foreign power had attempted to impose on America the mediocre educational performance that exists today, we might well have viewed it as an act of war. What A Nation at Risk spoke to the American people as a whole about the crisis in our schools. What Works speaks to individual parents and teachers about what can be done for a given child in a given school. We still have much to do, and this splendid little book, What Works will help us get on with the job. It's a job we must do for our children and for our country. And the voices are the words of James Madison, words quoted in What Works. Knowledge will forever govern ignorance, and a people who mean to be their own governors must arm themselves with the power which knowledge gives. Bill Bennett, ladies and gentlemen, thank you all for joining us here today. And I want to close by reminding you all that this edition of What Works is only the first installment. More booklets have already been planned. So, Bill, after spending so much time here at the White House when this is over, I expect you to get cracking. Well, thank you all and God bless you. Mr. President, I was telling the audience before you came that memorization figures in this book fairly prominently, and I am told that you're the world champion memorizer. Do you recall something that starts with, there are strange things done in the midnight sun by the men who moil for gold? The Arctic trails have their secret tales? They would make your blood run cold. I give up. I don't know whether in school I still read Robert W. Servers, but to just conclude that particular stanza, it would then be, there are strange things. No, we've done that. All right. The Northern Lights have seen queer sites, but the queerest they ever did see was that night in the Marge of Lake La Barge. I cremated Sam McGee.


Is it on? Okay, maybe we'll start slowly. So, first of all, I wanted to have a little digression. I wanted to show a picture, just because from Amy's yesterday question, yesterday I mentioned that there are minimal, but not uniquely ergodic. So that means there are interval exchange maps whose orbits are dense, but not uniformly distributed. So in the rotation, if you have something which is dense, it's automatically also uniformly distributed as we did last week. So this is not a picture of an interval exchange orbit, it's a picture of a billiard. So what is a billiard? Maybe I need my pointer. You just have a rectangle, and this rectangle has a slit, a barrier in the middle, and then you look at the trajectory of a point which moves in a straight line and bounces at the boundary it reflects. So when it hits the boundary it reflects. And this is just a plot of a trajectory, and I hope it's just visually, you can believe that this trajectory is dense, so it will go in all parts of the table, but it will not equidistribute. So you see there are some areas which are gray, dark gray, and some areas which are white. So these are areas where the trajectory spends more time, and these are areas where it spends less time. So just visually I think you can believe that this trajectory doesn't feel uniformly, according to LeBag, it doesn't feel uniformly the table. And there is a way to build, this trajectory is built upon using interval exchanges which are minimal but not uniquely ergodic. So there is a nice way which is out of my lecture scope but there's a nice way to reduce billiards in polygons to linear flows on translation surfaces. So you can do something called unfolding it, get a translation surface, take the one kind of session, and these trajectories are related to IITs. So minimal not uniquely ergodic IITs are behind this picture. This was really a digression. So what did I do here? Okay, so now let's go back to our Rosivic induction. I put up this slide just for memory. I don't want to go any more into the detail of this algorithm but let me repeat what we have. So Rosivic induction. So we start from an interval exchange which is given by a permutation and some lengths that too. And there are two standing assumptions. We assume that the permutation is irreducible and we assume that the lengths of the exchanged intervals are rationally independent. So this is somehow our irrationality and this keen theorem tells us that under this condition orbits will be dense. Okay, minimality. And maybe let me make two remarks that I didn't do yesterday but some people asked me in the questions. Okay, so, no maybe before the remarks let me add some more. So I have this minimum and then the algorithm, this algorithm gives me a sequence of nested intervals. These are nested shrinking intervals and it gives me a sequence of induced maps which are all the IITs. And a step of this algorithm is what we did yesterday. You look the shorter interval from at the end, you cut it and induce and then you continue doing this. So maybe I have another visual picture of the algorithm. Let's put this up. So you start from my IT and then you build smaller and smaller and smaller intervals by this procedure of cutting until they are nested and they're shrinking and you look at the induced maps on the smaller intervals which are all interval exchange maps. This is like a picture you should have in mind. And now let me make the remarks. The remarks was that this condition of irrationality, so let's start. So the assumption star of irrationality actually implies two things. It implies that the algorithm never stops. Algorithm is well-defined, doesn't stop. When could it stop? You remember we were comparing the last two intervals. There was a alpha top and the length of alpha bottom. So this equality, if I had equality, maybe I'll go back again. If I had equality between the last two intervals, I could not decide which one is shorter. So equality never occurs. So this maybe I should write it at some stage, at some stage N. So there's never ambiguity. There's always a larger or a smaller interval so I can continue further. I don't know, if you try to do, I think I gave this as an exercise yesterday. If you have irrational lengths, you cannot have connections. You cannot have orbits of discontinuities which intersect. And this really tells you that there are never equal intervals in the process. And the second thing that someone correctly pointed out, it also gives me the size of this interval goes to zero. It shrinks into zero, okay? This sort of. And that's gonna be important today. And I also want to make some philosophical remark. If you were here last week, this will sound very familiar to what I said exactly last Friday. So we have this induction procedure where I look at smaller pieces and induce my IT on the small piece. So associated to this induction procedure, there is a randomization. There's a randomization map. So given T of T, I'm defining the orbit either this randomization and maybe this randomization goes from D I E T's to D I E T's. What do I do? If I do a random, I'm gonna write it in words. I, this is actually T to the N. Rescaled, rescaled to unit lengths. So the picture is that you have an IT.  And then what do you do? You just zoom it back. Or maybe my picture is. Maybe let me do it a little bit higher. So you have this small interval I N and you have this induced map. And you just make your interval lengths one again. So you open it up to lengths one. So maybe something like this.  You basically you multiply by one over the length. So to make it lengths one. And then here you will see our N of T. So every time you have this induction procedure if the induced object is of the same nature of the original object. This time it's an IT. I can just make it lengths one and have a map called the renormalization from space of IT to space of IT. And it's really like last week. Last week we had induced rotations and we were rescaling them and we had a renormalization on rotations. And actually if you do this procedure for a rotation when D is equal to two you will not get exactly the same than last week.  I will give you an exercise. If you try it with which induction on two intervals you will get something which behaves like the far aim up. And if you can actually accelerate you can do for example all cases top together and then you will get exactly the Gauss map. So there is a relation. You can think of last week example as a special case of an acceleration of this. Induction. And let me say again before we'll do some real example. What is the philosophy? The philosophy is always that to study you can study this renormalization as a dynamical system. So maybe you can study R. Study R as a dynamical system and the properties of the orbit under R of your IT give you some information about the dynamics and the properties of T. And we will see an example in today. But this I wanted to say the picture before we go into it. And the same type of features we saw last week with the Gauss map. So I would like to do some examples of how this renormalization is useful. I need yet one ingredient. And the next ingredient are towers. Towers representation. And again, if you were here last week you will recognize something very similar to what we did last week. And I really did towers for the rotation in preparation of this picture. Okay, so let's look at my induced map and let's look at one induced interval. So given I and alpha, this picture. I have one of the intervals exchanged, I and alpha. What happens if I apply this I to A and alpha my interval exchange map? My interval exchange map will map my interval out of my space for quite some time. Maybe it will move around. And at some point it will come back. At some point it will come back by the induced map. So let me write like this. So let H and alpha be the first return time. I, so this is the minimum. K greater or equal than one. Such that T to the K, and notice I'm applying T, T to the K of I and alpha is contained in I and. So again, I maybe notice. So if I apply T, I'm doing the Poincaré map. So I don't immediately come back. It takes me some time to come back. And in this setup, if you want H, so T to the N, by definition, restricted to I and alpha is indeed equal to T to the HN of alpha, okay? So the induced map is really T to the first return time. And now I want to represent the images of my interval up to the first return as a tower. So maybe let me say, let H and alpha, this would be the union, T I of I and alpha. That's right, T K. T K of I and alpha for K that goes from zero to H and alpha minus one, okay? So I'm looking at all the images up to the time they come back, okay?  This is the tower over I and alpha. And this is a disjoint union. Convince yourselves by definition of first return. You can prove that these are disjoint. They are just all these images, but I want to draw them at the tower. So I want to draw them stacked up on top of my interval. So this is my liter I and alpha. And I want to draw floors of a tower of height, H and alpha. Okay? Draw them stacked up. Okay, what's going on? It's just, we had, if you were here last week, we were doing exactly the same for the rotation. This picture has no meaning unless it's a graphical representation. I'm plotting these floors as a tower, but I'm going to use this picture to give a representation of the original dynamics in terms of the use map. So maybe let me remark that if you take the union of the towers, this is gonna be equal to everything. And this is an exercise or something we discussed last week. In general, you need some assumption like what I discussed last week. In this case, it's true. If I union, and these are the union over, there are the towers, one per letter. And let me plot now the picture of my whole space. This is IN, I have maybe different size intervals. So for each interval, I draw the tower over it.  And then I have another one over this interval, sorry. And you can put them distance one, but it doesn't matter, it's just a graphical plot. And I have one more. So each tower, each color is the tower. Each is a tower of this form. H and alpha is the tower. And the base is I and alpha. And the height is the return time, H and alpha. Maybe return time, if you include the base, there are H and alpha floors. And we saw this picture for the rotation and we saw that we can read a lot of properties of the dynamics from this picture. So, but let me first stress again how, what does this picture mean? So, and then in this picture, in this picture, how does T act? T moves each floor up, up by one. So in this picture, by definition, each next floor is image of the previous. And what happens when I get to the top of the tower?  So I start from, I mean, I'm defining, so the base has the induced map T to the N. Now I'm saying that this picture of stuck towers represent the whole space. So the whole space can be represented like this. And on the whole space, I have the action of T. How does it look like? If I take a point in some floor, it will go to the point above, but by definition of how I represented the stacking. And when I get to the top, and everybody who was here and did some exercises last week, when I get to the top, T moves me back to the base according to the induced map. So at the top, at the top floor, T moves back, back to base, by T to the N. I got to the side to make some space. Okay, so this picture you should recognize is very similar to what we have for rotations. And I claim that really a lot of properties of interval exchange maps can be only proven, I think, using this picture. And I would like to give you two examples now. So I want to give two applications of how renormalization is useful and how this induction and towers are useful. So, but first it's a good moment to stop. Do you all think, feel you understand what's going on? Do you, if this tower picture, because last week I know for the towers, at the beginning for the rotation, it wasn't clear to everybody. Hopefully you have time now to understand. But if you have a question now, stop me before I go on. Clear what I'm doing? I'm inducing and representing the whole map as a tower over the induced map. It's a very standard procedure in dynamics, actually. I'm doing it in this very special case, but inducing and representing the space as towers is used also in hyperboiling dynamical systems. It's used in many other sets up. And this picture here, this towers are related to finite rank dynamical systems and cutting and stacking. And again, the algorithm, you can see it as cutting and stacking of towers like we did for the rotation. So it's also quite a general concept in dynamics. We are doing it in this special case, but you might encounter it again if you continue working in dynamics. Okay, and now application one. Application one. I want to prove that no IET is mixing. And this I said it's a result by Katalk. If I ask you to prove that the rotation is not mixing, I think you all did it last week. It's quite easy to see that the rotation doesn't mix. I have a set, I move it around, it will miss my other, some other sets infinitely often. If I ask you to show that an IET is not mixing, I personally don't know how to see it. The dynamics, how do you, I don't know how to see it unless you think of an IET in terms of towers. So I can, but on the towers, I think you see it very well. And it's really this finitely many towers, which is key to have this property. So let me try to sketch it. So take a set. I want to find the set for which take A is equal to B with measure of A, the bag measure. So not mixing with respect to the bag. The bag measure of A is less than one over D time D plus two. This is the number of intervals. And this will become, why I choose it like this will become clear at the end. So these towers we said are getting thinner and thinner because the size shrink to zero. So this little, and they actually cover the whole space. So they actually give you a partition of the space into floors and the mesh goes to zero. So maybe like Amy's density, maybe you simplified the back density or some approximation argument. Let me say that when N is large, I can assume, so let's say A is almost, with a small error, is almost union of floors, of towers, H and alpha. You can approximate it with floors. I have my towers and I can think that my A is a union of full floors. It is not really, it's almost, but let me ignore this detail. You can work out there will be an epsilon error and I leave you to fill some details if you want to do it. Let's say that it is a union of floors. That is up to epsilon. So then, so choose, there would be, there exists alpha such that there are D towers. We can use pigeonhole principle. There will be one tower which will contain a good mass. There will be an alpha such that the measure of A intersecting H and alpha is greater than one over D, the measure of alpha. One tower will have more than one over D. There are D towers. One of them has to fit one over D of the mass, okay? So we'll fix this alpha. And now we look induced map of the original interval exchange on I and alpha on the base of that tower. Of this tower, of this tower. I have a tower which has a definite proportion of A somewhere and I look at the base, I look at the base and I look at, I induce my interval exchange on my base. And you all did, some of you might have done the exercise. If I induce an interval exchange on some intervals, I get an interval exchange or at most D plus two intervals, right? So it's an IET of at most D plus two intervals. There exists a sub-interval J, there exists a J, actually let me call it, okay, there exists J inside I and alpha. There exists a small interval, which is a continuity interval for the induced map and which is, I can pick the largest with the back measure greater than one over D plus two, the length of I alpha. There's this, one of the induced intervals is bigger than one over D plus two, one of the intervals of the induced map. And this induced map, it comes with a return time and there is an R, Rn, return time, such that T to the Rn of J is back in I and alpha. And now, now this is the most subtle point. So now I would like you to really look at, maybe I'll do this picture big. I have my tower and I have some small interval J, which in time T to the Rn is back in my base, okay? So now, pick some other floor. Then you should really look at the picture. So pick some other floor and pick the little interval above J. So what happens if I flow this? I iterate T, Rn times to this. So the base comes back in time Rn. But once the base come back, it actually keeps flowing up. So what do you know about this interval? It will come back and then flow back exactly to the same height. So this is what, I don't think I can write anything. I think I want you to think what happens to this small interval, right to the claim and then you can meditate. I claim for every floor of F in this tower, if I look at T, Rn of F intersected with F, I claim that the Lebesgue measure of this intersection is at least one over D plus two, the Lebesgue measure of the floor, Rn. So if I look at my floor, it contains my one small interval above J and this small interval will come back at the same floor. So the floor will self-intersect, at least through this small interval of size one over D plus two. The idea is that you have inside F, you have this small interval, you have a small interval of size one over D and this small interval comes back on the same floor. So the whole floor self-intersects. I think I, maybe I should, I'll leave you to meditate on this point because you really have to stare at the picture of the tower and understand the small intervals come back in the time. So the whole floor, when it comes back, will self-overlap on something of that area. And from here, going back to A, you can also deduce that if I look at my set A, which was union of floors, then the back measure of A intersected with TRN of A. This is greater than actually, okay, this again, I don't want to finish all the details because, but the measure of A intersected with TRN, will be actually equal, less greater than D over D plus two, the measure of A. Y, so D has, sorry, A has a one over D proportion in this tower and every floor in this tower, in particular the A floors, when they come back, they self-intersect with the proportion one over D plus two. So this D and D plus two, this is the proportion of A in H and alpha. And this is the self-intersection of each floor. And now I would like to show you the discontradix mixing. So, but if mixing, if T were mixing, the measure of T to the RN of A intersected with A, we has to tend to mu A squared and tends to infinity. You should see as N tends to infinity, my return times are getting larger and larger, so mixing should hold. But these two cannot hold together. So this would give, together with that, it would give that the measure of A is greater than one over D, D plus two, measure of A squared. But you can, sorry, did I do something wrong? Measure of A squared is greater than measure of, so you simplify an A. This is the contradiction with the choice of A. If A is small, I chose A at the beginning, so efficient is small, so that this is a contradiction. Okay, so I don't know if I managed to convey all the details, but the picture I want to leave you is that from this tower picture, you can understand a lot of the dynamics of T, and you can see things that you cannot see with your naked eye. And maybe I try to convey one more, one more application, application two. This is a baby sketch of unique ergodicity. So I want to say that through towers and normalization, you can understand invariant measures. So let me start with some elementary observation. So say that mu is a T invariant measure, potentially different than the bag measure. So you can remark that, okay, let me give a let, so maybe let me start. For the remark, define the following vectors. Define mu n alpha, or define the following quantity. Mu n alpha is the measure of the interval i and alpha, okay? I look at the measure of the small intervals in mind action. And the remarks, looking at the towers, I can see that all floors have the same measure because my measure is invariant. So all floors in h and the tower h and alpha have measure, mu measure mu alpha n. And the other thing that you can remark from the fact that towers give you partitions is that if I know the measure on all the floors of all the towers at every stage, I completely determine the measure. So remark one was this. So if I know the base numbers, I know all the floors measures. And if I know mu and alpha for every alpha and for every n, they fully determine mu. This is just because partitions are generating, partitions are made by floors which shrink to zero so they can approximate any other measurable set with floors, exactly like I did with A. And now there is a key point. So I wish I had, I didn't bring this light from yesterday, sorry. So yesterday, so yesterday, what did we prove? Or maybe you try to, if you prove the exercise, one of the exercises that I gave, we proved that the lengths of the intervals satisfy some matricia relation. You remember this, when we do this algorithm, these are matrices given by the algorithm. I don't have the slides from yesterday, unfortunately, but yeah, okay. So when we were doing the algorithm, we were recording how the lengths of the intervals change at each step. And we saw that you need to multiply some matrices. And these matrices each have the form like some ones with some on the diagonal and out of the diagonal one. So I don't have the last slide from yesterday, it takes too long to put it up. Okay, so maybe I'll just go back to one step of the algorithm. You know, there was a relation between something like this. You had something like I, D. In this picture, it was like I, D, N was equal to I, A, N plus one plus I, A, D, N plus one, right? One interval was a sum of two and this gave you one of these matrices. And this gives you that the lengths satisfy this relation N plus one. But also that other measures have to satisfy these constraints because if I have a measure of the sum of the union of two intervals, it has to be the sum. It also give you that mu and D has to be equal to mu N plus one plus mu. It's always also true for the new measures. So also mu has to satisfy a similar relation, mu zero. So the vector with mu zero alpha as entries, this, sorry, sorry, mu zero, which is the vector with entry mu zero alpha. These are the measures of the bakes. Also satisfies A, N, A one of mu zero alphas, okay? So they satisfy the same recursive formulas. Ah, sorry, sorry. And no, it's like here. So I do it inductively. So the previous is a matrix. Ah, no, no, you're right. Thank you so much, Emi. You're right, it should be the same. It starts with the outer and goes through the inner. Like this. Thank you, Emi. Yes, thank you very much, Emi, because I'm going to confuse everybody. I don't know if it's this. Okay, yes, it's exactly the same formula with the mu's. Okay? Now I want to, now I want to do, now I have to, this is true for any IT. Now I want to focus on a special case. Actually I want to tell you the key renormalization fact. So let me say whatever you're trying to prove. So the following is true. If the orbit under renormalization of T is recurrent. So if the recurrent means that my orbit comes back close to my original T infinitely often. This is actually which, I think it's due to which. If the orbit is recurrent, I claim that T is uniquely ergodic. And this is really a basic example of this renormalization philosophy, you see. Properties of the renormalization orbit tells you something about the dynamics of your interval exchange. So this is a property of the renormalization map. I have an orbit which comes back. And this is a property about the point I'm starting to normalize. And I will give you the proof in a baby case. Proof in a baby case which is T periodic which is Rn of T is equal to T. So periodic or periodic induction or which basically tells you that T is in some self-similar. Now this is the analogous of rotation numbers of quadratic irrational rotation number where the Gauss map is periodic. This is like periodic points for the Gauss map. Those are periodic IT for the renormalization. And that means self-similar. And what happens in this case? So this matrices only depend on the renormalized map. So if my renormalized map is periodic, I claim that the matrices A n repeat periodically. So it will look like A zero, A n minus one. And then maybe A n, okay, that doesn't matter. And then again A zero, A n minus one. And they will repeat in blocks. And I will call A the block. Almost done. I take my formula, I take my formula for mu. And what do I get? I get that mu zero. I can write it as, I can write it as, okay, let me just write it like this. I can write it like this. It's an intersection of K of AK of some positive number. So maybe I should have done one more step. Okay, maybe let me do one more step. Sorry, let me add one more step. So maybe let me first see. If I use my formula, what do I get? Mu zero is A of mu, let's say n at the period. But it's also equal to A times A of mu two n. And this equal to A to the K of mu K n. I can expand it as long as I want. So for every K, I can write it as AK of some number. And this is my number in R plus to the D. And now I have to appeal to something which maybe not, some might have seen some not. And actually this matrix A, it has to be, but actually this period matrix has positive entries. It's clear that it has no negative entries because I'm multiplying matrices with zero and ones. But actually when normalization is periodic, I have to multiply enough matrices to see positive entries in the product. And if I apply it to R D, it actually sends R D, the positive cone in R D inside itself. So it sends the positive cone inside itself. So I want to use some kind of contraction principle or if some of you know Perron-Frobini's theorem, you know that these matrices will have a unique fixed point and it will have a unique fixed point of unit length. So in general, you should picture yourself, my mu has to stay in A of this, but it should also stay in A square of this, but it should also stay in A to the K of R plus to the D. So it actually, by contraction principle, you can prove that this matrix contracts the positive cone. So by a Brouwer fixed point, if you want some form of Brouwer, I can ask you actually to prove an elementary Brouwer fixed point, if you want. Actually, there is a fixed line, but I also want my measures to add up to one. There exists a unique mu zero in the simplex in sigma D such that A of such that, this equation holds, let me write star holds, which has this form. And I know the lambda and mu are solutions, so lambda has to be equal to mu. And this is a step zero, but now you can transport with your equations. This is also going to be true at every other step by applying, applying, applying, my matrices, I apply the inverses of the matrix. Once the initial vector is determined, everything is determined by some remark, initial remark, mu is the bag. They coincide on all tower floors. Okay, that was a long, a long picture, but I thought I wanted to try to give you at least one example of this renormalization machinery. I gave you two, so the towers are helpful and to prove things like mixing, you can look at the dynamics in the towers and renormalization is helpful to study. And I just want to conclude with a picture because I, if I, and this maybe I will skip, I will, let me go. You can do something else. You can also study Birk of some functions. Okay, let me say, you can also do something else. You can study Birk of some, so you can take a, sorry, maybe functions, say a piece with constant function and plot the Birk of some over an interval exchange. I just want to show you a simulation.  Say that you graph the Birk of some, so some function. So you plot as time, as their horizontal axis move, values of a Birk of some of a function and then connect the dots and stop at n and connect the dot and maybe map everything into zero one. So I just want to conclude leaving this picture. This is how the plot of a Birk of some over an, of a function over an interval exchange looks like. So I'm just plotting a Birk of some. And now look at this picture and tell me, what do you see? What does this look to you? To me, this looks a little bit like a fractal, doesn't it? It looks like a little bit self-similar. So all another word of renormalization, you can go to study functions, Birk of some and renormalization can explain this picture. Renormalization can tell you that some pieces are made by smaller pieces, which are made by smaller pieces. And what are these basic pieces? They could be Birk of some's up to the height of a tower. So if you plot the Birk of some up to a tower, it gives you a block, but then the towers cut and stuck. So the Birk of some's combined with each other to make a picture. So I cannot go into this, but I just want to tell you that there's a lot of possibilities and pictures like this. When you see this picture, you see renormalization. You see that there is a phenomenon that you can explain. And lots of dynamics of interval exchanges and beautiful pictures like this can be explained through this machinery. All right, thanks. Thank you. Thank you.


Sleeper team in next year's season. Who's it going to be? Hmm. I'm going to go Justin Fields and Chicago Bears. I would say the Lions too, but I'll say if the Jets get Aaron Rodgers, let's go to Jets. Oh, hands down. I'm going with the Commanders. The Browns. The Jaguars. Pitchbox Stalers. Oh, yeah. That was easy. Denver Broncos!


What's going on everyone? Sam here with Layton Sports Guards. We're in Quad Case MLB 2022 Top 5 Star Baseball. Hobby, 8 box case break. Number 1 again, there are 4 cases. Here is the results to your random team stop. Here's your random results again. As always you can find these on the website under the results tab as well as the link that is in the chat. Good luck everybody. Let's do it. Let's see what menaces they bring us.  I've gotten pretty good at handling it now though.  That's going to be enough for that one. When Sean's here it can get pretty bad. If someone is usually on YouTube or Twitch, if somebody ever messes with us and misspells something, Sean will do the classic. Good luck guys. We've got 4 cases of 5 star now. Nice start here. It's going to be Johnny Bench 3 of 5 going to Eric R in the Reds. That's sweet on the golden grass. Great start. Grats there Eric. Nice man. We've got Austin Riley that's going to the Braves. Let's go into the Braves. Grats in Atlanta. Top tier hit for Christian R. We'll see how we're doing on time. Set it up as we're going to do one and if we're short on time we just won't. Jackson Reets for the Brew Crew. That's tier 2 hit. Brewers is Christian R. And going to the Twins. 17 out of 50 Dave Winfield. Tier 2 hit is the Twins. Going to Johnna. Grats John. Got Rookie Otto Chas McCormick. That's going to be going to the Astros. Houston is a tier 1 Howard O. And then we've got Joe Ryan 4 of 5 on the Rookie Otto for the Twins. There you go again John. Tier 2 hit. He might be. Let's see. I could not tell you where Jackson Reets is right now. Reets is, yes he's on the Royals. But yeah it does go to the team on card. Unless it's like a, yeah so I mean that's a Brewers one. Since it's like the Brewers is on the card. But yeah if it were like a, I don't know how would it go. If it was like a Collegiate card. If we pulled a Collegiate Jackson or he thought it would go to the Royals. That's kind of how that one works. Got a Carlton Fisk. 16 out of 40 Golden Grats.  Matt C. Matt C. again. This time in Eloy Jimenez.  Congrats Matt. Oh this game. This is the first game of the year. Flo to 1 I'm pretty sure. Then they got ranked like 11 and just sucked. Nice one here. We've got Ronnie Dawson for the Reeds. And nice one going to Matt C. On the tier 2. We've got a Spencer Torkelson. 14 out of 25. Congrats on that. There you go Matt. Matt T. You do not need the Matt and Ronnie Dawson. It's your one drink. That's why I want to make sure. We're on the same date there. It's going to be Patrick Mazzica. Rookie Otto for the Mets. Matt T. Nice one here going to a different Matt. And the break this is going to be Matt M. Is getting a Scott Rollin. 9 out of 10 on the Golden Grats. Should be a Hall of Famer this year. It's a mistake if they keep him out again. I'll take the Torque from you too. Throw it on a card stand. Zack Short. Rookie Otto. And Redemption. Is 5-star Pentamaris Penmanship. Should be number to 10. Kyle Tucker. Nice. Going to the Astros. There you go Howard. Pentamaris Penmanship. And that should be number to 10 right there. They believe the base is number to 10. Unless I could be wrong on that. We only pulled one all day. We've got a Ryan Ballade. Rookie Otto. 54 out of 75 for the Rockies. It's here two going to Matt C. And Donnie Baseball. Going to the Inks. Not numbered. Is Joseph D. Alright. I'll do it for case number one. We're on to case number two. Yeah. 7-M. This is a break. This is a group break. Jake Berger. 38 out of 75 for the White Sox. Matt C. Going to the Red Sox. Wade Boggs. Not numbered. Yeah. They just technically released today. They were supposed to release Wednesday. And then they got like push back a couple days. There was like something happened with top. So they just came out today. They're really awesome. Five stars a great product. Got Matt Bealing Rookie Otto. Philadelphia. Matt K. And then going to the Braves. Christian R. We've got a John Smoltz. Nice one there. That's number 19 out of 50. Luke Williams going to the Phillies. Matt K. On the Rookie Otto. Not numbered. And another one going to Eric R. This time nine out of 40. Johnny Bench on the Golden Grafs. Eric's going for that rainbow now. Congrats Eric with the Reds. This is four cases. I believe it was like 530 or 540 a spot. Cheered random team style. So every spot you buy gets you one team from the top 15 teams and one from the bottom 15 teams. So you got two teams for four cases. Johnny Bench is the man. There's a Cal Raleigh Rookie Otto. Eloy Jimenez 12 out of 20 on the Silver Signatures for the White Sox. There you go Matt C. And then the Mariners was Joseph D. No Wonders, no J-Rods yet. No Pina. Two Torkelsons. One with... They've got to be tough holes man. Print run of those has to be super low. There's a Josiah Gray Rookie. Otto. The Nationals. Yes, there are Patch Auto case sets and I do not... I don't think Stephen Kwan's in it this year Liam. I don't believe Kwan is in it. And we've got a nice one here. One of five. Peter Lanzo going to the Metz. There we go Matt T. With the Metz. Congrats on that. Nice puller Pete. One of five on that one. Yeah, Stephen Kwan's really good. Stephen Kwan could have made a case. Could have been rookie of the year in the AL. That is Jim Palmer. 11 out of 15 for the Orioles. There we go. Baltimore, Sean M. Congrats man. Nice Palmer. Golden grabs. And going to the Yanks. C.C. C.C. Sabathea. Captain Crunch Legend. Joseph D. Yeah, he must be super exciting in person Liam because he seems like he's always on base. You know what I mean? He's always like... He just gets hits. Dude's just a hitting machine. And he's quick too. So he's probably always stealing a lot. Yeah, just gets hits. Exactly what Zach just said. Dude just hits man. It's a rookie auto of Lars Newtbar. Not numbered. The Cardinals. Madame. Dave Winfield. For the Twins. Little Corner Ding. We'll send an empty box and wrapper in Minnesota. Sorry about that John F. Not till a little bit later on tonight Daniel. We have group breaks. This slate of group breaks ends at about 4 p.m. Eastern time. And then we have more group breaks starting at 5 p.m. Eastern time. And we're doing triple threads. Two half casers and one full caser. Two cards per box, Drew. Got a redemption. First up it's going to be Matt Manning.  Matt Manning. Holy cow, bro. Alright, I got to see you here really quick. Oh my god. Dude I think this is going to have to be a random. But it's too big to random. So John F. This is insane dude. How about 5 star autograph relic book of Ronald Acuna, Vladimir Guerrero Jr. Shohei Otani, Juan Soto, and Fernando Tatis Jr. Dude that is crazy. No way. Holy cow. That is a monster card. That is a monster monster card. Too big to random. We'll get in touch with the owners of this card and see what they want to do. That is insanity. That is crazy. That is insanity right there. That's crazy. We'll get that magged right away. That's nutty bro. The nutty card right there. Played in a small market. That's awesome. That is such a stud. You can make a case still the best catcher of all time. Johnny Bench. We get in touch with the owners of the card and basically we give them the option if owners want to buy each other out of the card if they want to send it straight to random or they want to sell it and split the profits. We'll ask Lane on that one. And then if he says that it just straight goes to random then we'll end up randoming it off. Brian Daylock Cruz from the Marlins. Nice one here too. Nice one coming up. We've got O'Neill Cruz. 10 out of 75. Nice one there for Pittsburgh. Pirates is Regina A on the tier two. Nice O'Neill. Yes, we should have personals on the website. latinsportscards.com. Link in bio everybody. Link in bio if you'd like to join group rakes or buy personals. That's card insane dude. Louis Heel Rookie Auto. Yanks. Ray Larkin. 7 out of 15 for the Reds. Abrams is the guy you're looking for for the Padres. We've seen a couple of autos of him today and then Tatis is in here obviously too. Tyler McGill for the Mets. Matt T. This one's sick. Got 3 out of 20 going to the Mets. David Cone. 3 out of 25. Nice one there on the two-color game use patch auto. Yeah, majority would win. You would need to own 51% of the card or more. So if somebody owned 3 of those teams it would go to them. But no, it's I think all 5 teams are owned by different people. Because like Roger has the Angels. Padres is John. Braves is Christian. Who else is on there? The Blue Jays is Howard. And then the Nationals is Sean. So yeah, there's 5 different owners. Riley Adams Rookie Auto. Fred Lynn. 5 out of 25 for the Red Sox. Again, I'll ask Lane after. I'm assuming that's big enough to get in contact with all the owners. But if he deems it like just random it, then I'll make a separate video doing the random for it. I don't want to make the call. It's too big of a card for me to make the call. I'll talk to Lane about it after the break. Jake Berger White Sox. Rookie Auto. Buster Posey. 48 out of 50 going to the Giants. Nice one there. Giants. No, Soto is listed as a National on the card. Soto is a National on the card. Not a Padre. And even if that was the case, it would still not be a majority. Kyle Muller. 24 out of 75. Rookie Auto Green for the Braves. Well, a pair of Jordyns just got the way. Nice. And Joe Ryan. Rookie Auto for the Twins. Two rookies in there. This is the Topps 5 star. Gatorade like Mike Six's. Got Lee Smith. 5 out of 40 silver signatures. Ryan, the Express. Going to the Astros. Nice one, Howard. Congrats, man. Yeah, I've wanted them. I remember they came out in 2017. I couldn't afford them. And I was like, I ended up just finding them. I found them now on eBay for pretty cheap, like pre-owned. So I was like, oh, I'll just get them. One of my favorite shoes of all time. Jose Abreu, three of five. Nice one there for the White Sox. Matt C. And then going to Joseph D. with the Yankees. We've got Mariana Rivera. Nice one there. 86 Fleer is where you can get the Michael Jordan rookie. But products right now, now there's no products with Michael Jordan. You'd have to go back to, like, early 2000s. Oh, take a look at this card really quick. Okay, Lane's in here. You want me to hold off on it? Okay. Okay, cool. Yeah, it's owned by five different people. All right, cool. Thanks, Lane. All right, so we will get in contact with the owners. Lane did make that decision. Thank you, Lane. Yeah, MJ is in the upper deck. Fleer, like the new metal boxes, but very, like, very few cards. Just a couple of, like, very low numbers. Does he? Then yeah, he has an insert in Goodwin Champions as well. That's pretty cool, actually. Yeah, here I'll show, let me see the card again really quick. Someone wants to see it on 6-0. Here's that redemption. Acuña, Vladdy, Shohei, Soto, and Tatis. Jose, booklet. Jose Berrios for the Blue Jays. Does he have signature kicks in Goodwin Champions? I did not know that. That's cool. And nice one here. Pentamaris, Penmanship, Jaren Duran. That's 8 out of 50. 8 out of 15. 15, sorry. Yeah, they're very, the Mariano is really cool. We're not. So the Atoms, 42 out of 75 for the Nationals. Congrats on that, Nats. Steve Carlton is going to the Phillies. We're based out of Apopka, Florida. So right outside of Orlando. Right outside Orlando. 25, 30 minutes outside of Orlando. Fredolfo Castro, 1 out of 50 for the Pirates. Peggy, nice Miguel Cabrera for the Tigers to your two hit from Matt T. Matt T doing very, very, very well with that one. Off-white fives. Yeah, those are cool. Those are super expensive. That's the only thing. Yes, we do, Joe. Yeah, we got really good sports down here for sure. It's going to be a Matt Manning, 55 out of 75. And nice one here going to Regina. We've got Bobby Whit Jr. on the base auto. Congrats there, Regina. That's pretty cool, Joe. That's awesome, dude. We do a lot of, like, random team and picker team style. This one was a little more expensive, but usually per spot it's $80, C-11. Lincoln Bio, LaytonSportsCards.com. Ellen Carlson, 11 out of 25 for the Cardinals. And another, this time, 9 out of 50, O'Neal Cruz. Going to the Pirates. Regina doing really well. That's super far from Miami. It's not bad, honestly. Weather is a little cold, honestly, but it was actually pretty nice today when I was walking in. I was pleasantly surprised. Jake Myers, Rookie Auto Astros. Lynn Grabs, Daryl Strawberry for the Mets. That's 10 out of 40 as well. 10 out of 40. Negative 2 in Cleveland. Good God, man. Good gosh. Yeah, I'm going up to Connecticut for the holidays and not looking forward to it. I mean, I'm looking forward to it and not looking forward to the weather, I should say. There's a Hoy Park, Rookie Auto for the Pirates. Here, I'll drop you the link really quick, exclusive. What's up, Brian? There's the link for our break schedule right there. Just click on whatever break interests you and you can go ahead and purchase a spot. That's 7 out of 20. Jim Palmer for the Orioles. And last box of the break, guys. Good luck, everybody. I'm going to answer somebody, I'm pretty sure. Yes, there is a Babe Ruth Cut Auto in this product. There is. That's one of the big Chase's redemption. Got a Randy Arosa Reina. That's Jake's boy. For the Rays. And nice one here. Going to Baltimore, we've got five-star duel, Cal Ripken, Eddie Murray. Nice one there for the Orioles. Congrats to Shawn M. Nice one there. That will do it for the break, guys. Thanks again for the fill. Next up, we've got two cases of Bowman Draft.


Hi everyone, Joe for JaspysCaseBreaks.com coming at you with 2021 Leaf Pro Set Sports five box random letter break number eight Usually even numbers are the second half of the case But I think we I don't know whatever what happened to that second half of the case. They must have gotten taken away For for the floor or for personal breaks. So either way break eight is actually coming from a fresh case now Now we're going first letter first name in this First letter first name big. Thanks to Brad Anthony and Daniel for getting on this one. There are the letters right there Let's roll it randomize names and letters five and one six times one two three four five And oh one six and final time five and one six times for the letters one two three four five and oh one six and final time We got hi Down to J All right, Daniel with hi. Hi. Well Daniel has all the letters except for K and And oh no Let's sort by column a right there and while you're thinking about trades Let's flip over here. What's going on my computer today? There you go. I wake up computer now work to do here While you're considering trade. Let's pop this open and let's see which half we're going to do Within 24 hours folks Give or take All right, let's see which side we're going to do. We're doing a half case break. All right Let's use that die right over there One two three for the left side four five six for the right side And it's one so we're going to do the right side here and this side. We're going to say for break Nine. All right, so there's break nine right there And that's already on the site so we can run this back tonight All right, we're gonna flip back here. We're gonna pause the video. Maybe uh, maybe Anthony Or Brad want to trade with Daniel. We'll see if that happens. Let's pause the video when we come back We're gonna see if there's any trades and then the break stick around. All right. Welcome back Leave pro set five box random letter break number eight Thanks, everybody can't believe we don't even haven't done any specter yet. I Can't believe I can believe it because it doesn't release until Friday. That's why I can definitely believe it Hence why it says fry in the title. It's only Wednesday. All right. Once again, this is first letter first name And we're gonna start off with Fred Belinda cough letter F I'll be for Daniel and the second one is nice golfer Bryson DeChambeau 32 out of 35 They're mixing a little golf in here Daniel with the letter B It's your Friday says David Unfortunately, Panini doesn't count your Friday as a as a release day. I wish they did next is Jordan Weaver Won a J Daniel Daniel has all the letters except for K and an O. Let's see if we can find some K ends and O's for others too. There's Wayne Rooney. Nice three out of nine Soccer great Wayne Rooney Daniel with the letter W three boxes to go Damon Stottemeyer D D for Daniel and Damon More sought wow Christiana Ronaldo five out of five Let her see Daniel With CR seven That's awesome. And all aboard the big hit express Second half in the store ladies and gentlemen if you want to run this back, there's Lou holds L Daniel action Inc. Dan the man Marino 7 out of 12 and the last two Maybe something for Brad and Anthony But congrats to Daniel a lot of nice hits for you. We've got Drew Pearson 10 out of 25 Cowboy great and the last one is They're all for Daniel. It's J. Joe Montana one out of 35 All right, Brad Anthony. Thanks for giving it a go Appreciate it second half is in the store Daniel. Congrats to you. You ran the table. Jasper's case breaks calm I'll see you next time for the next break. Bye. Bye


Coming up on D T N S is Samsung throttling your apps. HTC shouts out metaverse while returning to the smartphone battle and a machine that can make any drink you want. This is the Daily Tech News for Thursday, March 3rd, 2022 in Los Angeles. I'm Tom Merritt and coming from the backyard barbecue. Your boy Chris Ashley draw the top tech stories from Cleveland. I'm Len Peralta and I'm Roger Chang. The show is pretty sir.  If you don't want to be hungry, don't go subscribe to Good Day Internet and become a patron at patreon.com slash D T N S big thanks to our top patrons including Ken Hayes, Philip Shane and Paul Boyer. Let's start with a few tech things you should know. Security firm Cleefy that's C L E A F Y reported Tuesday that a malicious app called QR code and barcode scanner to QR code app, at least it appears to be was downloaded more than 10,000 times from Google Play before Cleefy reported it and Google removed it. Why'd they report it?  This particular version of T bot targeted banking insurance and cryptocurrency apps. The app did not contain T bot at download. That's how it was able to get in the Play Store, but it would prompt users shortly after installation to apply an update and the update was not pulled from the Play Store. It was pulled from GitHub and was able to install T bot there. I wonder how they knew this would work because you know the modern phones they have QR codes gainers built in so I'm just that's what's fascinating to me about this. It never ceases to amaze me how that you can get people to do things that they don't even need to do anyway. Amazon will close all of its Amazon books, Amazon four store star and Amazon pop up shops. That's a total of 68 stores across the US and the UK. Just another example of brick and mortar stores getting driven out of business by Amazon, this case itself. The company said it's going to focus its retail efforts on its grocery stores, Amazon Fresh Whole Foods Market and Amazon Go. It remains committed to long term physical retail concepts like its style clothing stores. It's also developing platforms for use by other retailers. Sennheiser announced new earbuds that are 3D printed with the material used in drill bits on the Mars Rover. Or if you don't want to read their press release version of it, Sennheiser launched metal earbuds, but the metal zirconium so it resists corrosion and is lightweight and durable. That's the reason they're doing it and it has the usual rubber tips so it shouldn't be more uncomfortable than any other plastic earbud. The IE 600 as it is called are wired earbuds as well, not wireless and that's so they can support lossless audio. The cable is replaceable. It plugs in on the end with the earbuds. So if it gets worn out, you can swap it out. They will be coming this spring for a mere 699 euros aside from looking super cool like the metal looks like like a weight plate like the 45 pound plate. Yeah, you're right. Really cool. But man, the price tag on a yikes. Yeah, that's that's that's a grip. I mean 699 euros is pretty close to $700. It depends on the day, but you know, it's probably around 750 or something like that somewhere in between there. If you've looked at all the people driving Teslas these days and thought it's just not the status symbol it used to be may we present the arc one a 24 foot long electric boat. That is backed by Will Smith, Kevin Durant and Diddy Sean Combs. It'll cost you $300,000 to so you won't look cheap if you buy one arc release new images and video of a pre production model of the arc one has a top speed of 40 miles per hour last four hours under power on a charge and battery is 220 kilowatt hours powering a 500 horsepower engine arc CEO Mitch Lee would like you to know that that engine is three times the size of a Tesla Model Y battery pack. If you'd like you can reserve one right now. There's a refundable $1000 deposit required and they say they're going to start delivering in the summer defective. He put I don't understand why that matters because the reason you're buying one of these is to be able to say things like that to the your friends when they come over to hang out on your boat. Alright, we've got a roundup of Ukrainian news here. Netblocks reports a telecom outage in northeastern Ukraine in Sumio Blast residents of the region reported blast coming from a power plant. This is the first widespread major telecom outage since the war in Ukraine began. There's also a bunch of tech company reactions. Poland's CD project red is going to halt all game sales in Russia and Belarus, Oracle and SAP have stopped all business and sales in Russia. Spotify has closed its offices in Russia indefinitely though the service itself remains operational. RT America is shutting down in the United States and laying off its staff. TripAdvisor and Google Maps have stopped users from posting new reviews on their listings in Ukraine, Belarus and Russia. They were being used to spread non review related content like news. The GitHub repository for the Facebook Maintained React open source library was spammed with protest messages. Russian regulator Roskomnozor ordered the Russian version of Wikipedia to roll back edits from articles related to the war or be blocked. The Wikipedia Foundation responded that it will not comply with those requests. Russia's Roscosmos Space Agency said it will no longer sell rocket engines to the United States, which may affect flights by Northrop Grumans and Tari's rocket and Roscosmos paused a planned launch to deliver satellites for satellite ISP OneWeb. OneWeb is owned by India's Telco Barty, but has a major investment from the UK government as well as SoftBank and UTEL sat. Alright, you're caught up on the tech related aspects of the war in Ukraine. Let's talk about a phone now, Chris. What do we got? So, HTC's Vice President of Asia Pacific Region told Digitons that the company will come out with a new smartphone in April. HTC hasn't released a new flagship phone in three years. He said the phone would have metaverse features. Stop the eye roll just for a moment. HTC's last phone in 2018 was the Exodus One blockchain phone and it did support decentralized apps built in cryptocurrency wallets and the ability to mine very small amounts of cryptocurrency. Alright, we can argue about what good a blockchain phone is, but at least in that case, HTC was true to its word and delivered what it said it was going to do. So what would a metaverse phone be? HTC announced its Viverse platform at World Mobile Congress, MWC, that will someday include VR, XR, NFTs and oh heck, they threw in 5G and blockchain too because why not? And don't forget, HTC's five headsets are legit VR headsets. So a smartphone that tied into all of that could legitimately be called a metaverse phone, especially if it tied into platforms like Microsoft Smash or Qualcomm Snapdragon spaces. Folks, let your imagination run wild because HTC is not talking yet. Yeah, I mean, on the one hand, I kind of hate that they're like, hey, we have a new smartphone coming out in April metaverse in order to get everyone to pay attention. I mean, honestly, HTC just announcing that they have a new phone is all they needed to get my attention. I'm like, oh really? It's a flagship phone from HTC. Let's see this and HTC has legit cred when it comes to virtual reality. The Vive platform is a good one. I don't know if this Viverse is going to be great or not. It's too early to tell and so a phone that ties into all of that, that they're good at, makes perfect sense to me. They didn't even need the buzzword. It has a chance. I'll make a confession. I was a fan of HTC phones, especially when they were making all the Windows phones. I did like what they made. So to me, they legitimately can make a good phone. But there is a kind of little thing in the back of my head is like, is there a chance? And I'll tell you why. The other day I got sent a video and it was a depiction of what the metaverse could be. And here in the DC area, we have a music called go-go music. This was born and bred in the area, started on buckets and you know, it's just in this area is huge and not too much anywhere else, but they had a metaverse that was a go-go and the little character walked into the go-go. The music was playing. They could see people at the bar and I was like, what a brilliant kind of video to kind of tout this. So I was like, if something as obscure as go-go music in our area made like a video like that where it kind of made sense to people, maybe, you know, HTC might be on the something to at least attach themselves to this idea of the metaverse. So it's kind of interesting to me. Yeah. This is one of those stories we're going to be talking about again in April and we'll have a better idea than of whether this is legit or not, right? Because we'll see what they're actually doing with it. So even as much as I don't love them saying metaverse, I get why they did, gets them more attention and they may be able to follow it up. But like you said, they said blockchain phone, which was an eye-roller and then followed it up with real blockchain stuff. The argument is whether blockchain is worth it or not. Not whether the phone actually delivered. All right. How about this one? I kind of adore this product, but there are problems with it. U.S. startup Kana, C-A-N-A has a new take on a home beverage dispenser, but it's not like SodaStream or other similar setups that use pods. This one can make any beverage off the same cartridge. They liken it to 3D printing drinks. The machine uses a cartridge of flavoring that has 84 ingredients that they say they can deliver in the perfect precise proportions to create almost any flavor profile from coffee to tea to a mimosa. The flavor cartridge does have to be combined with some raw material cartridges. So there's a sugar cartridge, an alcohol cartridge, if you want to do alcoholic drinks, a carbonation cylinder, and then of course your water reservoir, because most of every drink is water. Use all four of those to create your drink. The device has a touch screen on the front where you select the type of drink you want. Now, for now, it can only do clear cold drinks. So it can do a version of cold brew coffee. It can do a grapefruit sparkling water. Kana says it's working on a future versions of the device that could replicate viscosity, opacity, and pulp and also maybe do hot drinks, but those aren't there yet. This Kana machine, though, detects when your cartridge is near empty and can automatically ship you a refill. Cartridges should last about a month, according to Kana. Here's where it gets interesting. The drink menu is provided by Kana, and it includes drinks created by brands like the Hella Cocktail Company. You can replicate their, you know, their bottled cocktails and recipes from creators like Simone Geertz, the YouTuber that does all the robotics stuff, all the cool robotics stuff. You can customize their recipes to your preferred level of alcohol, sugar, caffeine, vitamins, and other supplements. You just can't create a recipe from scratch. At least it doesn't seem like you can. But it gets even more interesting. The cartridges are free. So it automatically reorders cartridges when you need them. Does have to be on Wi-Fi. That's how it gets the recipes, too. And you don't have to pay for the cartridges. Instead, you're like, well, how do you make money? You pay per drink. Sparkling water, 29 cents. Ice tea, 79 cents. Craft cocktail, $2.99. If you want to try this out, you can reserve one right now for 99 bucks. The first 10,000 orders will be sold for $499. The regular price of the machine will be $799. And they say sales will start sometime early 2023. This is one of those stories that is a complete roller coaster. Because when I heard hear the initial idea of it, I just want to be like, get out of here. But then as you get into it, I'm starting, my mind starts to wander. It's like, oh, wait a minute. This could be pretty cool. And then you come with a sledgehammer. You got to pay per drink. And it's like, ah, man, it was, it was so close to being super old. You know, because who does not want to walk into a room and tell me this thing will at some point have voice activation.  Who doesn't want to do that? It's so close, right? Why not? You're right there. So but the pay per drink is is a killer to me because the problem with it is the psychological effect of it. When I'm home, I want to get stuff out of my fridge because I'm like, I bought it here. So I don't have to go out and pay for it. So that's a huge bummer when you're at home and you're still paying for, you know, those you think along those lines with food and drink, you know, obviously when you're Internet of buying movies, it's the mindset is different. So I don't know how they're going to get people to get past that portion of it. With that said, everything else is pretty cool because there's a, have you ever heard of the life fuels? No, what's life fuels? So life fuels is like a bottle that you can carry around like those, you know, but it has like the different drinks or syrups, if you will, at the bottom of the bottle. And then it has an app on your phone that allows you to, you know, put in your recipes and make it. So it's almost identical to this, except it's portable. And my buddy has one of these and he swears by it. And it's probably less precise or less wide variety. Maybe. Yeah. And then you just manually change the cartridges in the bottom. It takes like four, but, uh, but it looks so cool that I was like, I was really interested in seeing what he did with it. So it's kind of the concept is already exist. And this is something you can buy today. Um, so the, I like, I like the start of this, but man, it, where it ended kind of hurt me. Yeah. I love the idea. Like this is brilliant. Don't, don't sell me pods. Uh, just make a machine that can replicate any profile. Now I start to get weird when I'm like, okay, but you're not really having a mimosa because there's no actual orange juice in here. Right. So, but they, the people at the verge who tested this were like, but it tasted like a mimosa. It wasn't bad. It's at least as good as any other bottled drink. You'd get off the shelf at your grocery store. So I'm starting to come back in like, okay, you wouldn't replace everything, but, but I'm, I'm into this idea and the fact that they, they have this combination of things where I could get like a cold coffee. Maybe someday they'll have a hot version and I'll try it. So I think the technology is, is wonderful and promising and I cannot wait to try it.  Sure. But, but psychology, you nailed it. It's like, even if they're not showing me the price every time I use the touchscreen, I would never know why I'm paying. Yeah. You know, I tell you what, the better model to me would have been, you don't own the machine. You lease the machine. Then it would have been a little bit more palatable. Right. It's like, I wonder if at some point they changed to say like, Oh, you can either pay per drink or buy the cartridges. Yeah. And or, you know, and I'm sure they'll have like the, you know, you get the first fifty free or whatever, you know, you buy packages and then once you go past that it's two ninety nine, hopefully if they're smart then that could kind of alleviate my anxiety around using this. But, you know, I just imagine the reason why it's so interesting to me as well is because, you know, when you read about how they came up with Beyond meat and how they came up with impossible, they had scientists in a lab recreating and figuring out what it is. What is the texture?  That's the iron from the bud and all of that stuff. But so I imagine they did the same thing, right? Cause they're not giving you the same ingredients, but they're like, if we put this and this and this together, yeah, that's orange soda right there. You know, that's it's like an md3. They're like, there's, there's all parts of the drink that don't affect the flavor. So we'll, we found a compression algorithm that figures out what parts are the parts you notice and that's the parts we put in the cartridge that has the flavor. But the idea that they could disrupt the soda industry, you know, it's, it's, it's, I like it, right? Because now you're going to have Coca-Cola sending you machines and at the house that are home based and, you know, and Pepsi and all of those guys doing the same thing. So I, well, I'm going to keep my on this and definitely want to wait to see what you say about it. Yeah. Yeah. I'm going to try it out. I can't, I can't not the technology, the business model may be flawed, but the technology is too good to super dope cleans itself and it has parental controls. You also can operate it without alcohol. You can say like, don't send me the alcohol cartridge. So I know people probably had questions about that. Yeah. All right. Tell us about this Wall Street Journal. Okay. So the Wall Street Journal has an article about how the popularity of at home COVID-19 test is causing some companies to develop at home test for other things. Detect Incorporated, which makes an at home COVID-19 test is working on at home flu and strep throat test. A San Diego company called Q is also working on at home tests for flu and Chlamydia. The interest is also making an argument for loosening up regulatory holdups. Currently, some tests that could be done in home are only allowed in a doctor's office or pharmacy. Lab Corp and Quest Diagnostics are offering home tests for fertility, blood, iron level and cancer. These are not rapid tests requiring the samples to be chipped in, shipped in, in order to or dropped off in a collection center. Lab Corp is considering including some rapid tests that give you the results at home. Results of rapid tests are usually less accurate than lab reviewed ones. So just keep that in mind. One way forward would be to use a rapid test for an immediate result, which is what we do today, right? And then but still mail it in for laboratory confirmation and regulators also want to make sure consumers aren't confused between what is a positive and what is a negative result? What do you think? Yeah, this is this is an interesting article. It's a little bit short on on a lot of details. But but I'm I'm curious at the fact that this is a another example of innovation coming out of necessity. Nobody wanted to have to deal with covid but because we did because we were forced to people are now looking at it and saying, well, we figured out how to do rapid at home tests for covid. What else can we do with that? And how can we make those lives better? I think I think that's fascinating. Yeah, this is really cool to me because, you know, I have a stack of covid tests here, you know, especially when I had my brother was living with me and you know, we had to be super careful. Sure. So but another thing that kind of dawned on me is like my wife and unfortunately, my daughter, they chronically get strep throat and every time my wife goes to the urgent care, they tested like, you don't have it. And my wife's like, I know I have it.  And so to avoid that headache of doing that, you know what I mean? It could be let me test at home.  Catch it because she doesn't have to wait until she can get into the lab. Yeah. Yeah. And, you know, and we talked about this a long time ago because I think when the last time we had a conversation around the innovation through tragedy, it was when there was a new watch or a band that reminded you to keep your hands away from your face. Right. So, you know, even though, you know, there's tons of tragic stories around this covid, the one thing I said is I always love to see the innovation that comes out of this and this is definitely something that we could, you know, definitely benefit from. Hey, folks, do you like what we talk about on the show? One way to let us know is in our subreddit. You can affect what we talk about. We get a lot of these ideas from the subreddit. So go there, submit stories and vote on them at dailytechnewshow.reddit.com. Users on Korea's Miko forum have been posting a list of apps they say are throttled by Samsung's Game Optimization Service or GOS. GOS is meant to improve gameplay on Samsung phones. The list on the forum has around 10,000 apps, including some of Samsung's own apps like Bixby and the secure folder. No benchmark apps seem to be affected though, and that's raising some eyebrows. Korean researcher and YouTube creator, Garyon Han, changed the name of the 3D Mark benchmark app to the name of one of the apps on the list and the benchmarking score of the Samsung phone went from 2,618 to 1,141. That's 56% worse just by changing the name. Android Authority could not find the Game Optimization Service on all of its Samsung Galaxy phones. Didn't find it on its S22. It did find it on its S21 Plus. So that implies it may have arrived in an update for some, but not all users. Naver's source says Samsung is looking into the reports, but Samsung hasn't spoken publicly about it. And if this sounds familiar, last July, OnePlus admitted that its latest phones throttled apps to save battery life and reduce heat. Apple has dealt with a similar issue where it was throttling things to save battery life. Geekbench delisted the OnePlus 9 from its Android benchmark chart back last July until OnePlus tweaked the settings. We'll see if they do a similar thing with Samsung here. Yeah, I don't like this one bit. If I buy a phone and you tout all these capabilities of the phone, don't then give me these capabilities because you're doing some shady business on the back end. I, if I want the option to turn on battery saving game functionality, let me turn that on.  No, come on. This is silliness. It's not that big a deal, but it does. It does wreak of some cheating going on here.  It's fine to exempt the benchmark and say like, look, we want the benchmark apps to be able to test the whole phone. We have this battery saving service that can go on. You as a user could turn it on or off. The benchmarking apps can turn it on or off. Just be upfront and everybody's fine with this because everybody likes to save battery. Sure. What happened with Apple? Apple was trying to save your battery when it got to the end of its life. It just wasn't telling you people were upset that they were trying to save your battery. They were upset that you didn't let them control it and that you didn't tell them it was happening. Exactly. If I'm gaming, I want to turn it off. But the rest of the time, yeah, sure.   But when I'm trying to do something on my phone, like, and cause it even affected Microsoft apps and I can't tell you how many times I've edited docs on my phone while I'm on the plane. I'm going to go for a presentation like, oh, here's a typo here and this thing is taking forever to load. No way. You know, I don't I don't want that at all. So I would rather them be upfront and say, we have this thing installed. It could slide on your app. And honestly, the benchmark apps would have been their best friends in this scenario because then you could see here's what the app functions like with it on. Here's what the app functions like when it's off. You make the choice, but they just excluded them. And then, you know, so to me, that was just a complete wrong way to go about this. All right, we've been talking about a lot of different products coming out of Mobile World Congress this week. Here's one that caught our eye. Go sleep, an air purifier, wireless charger, Bluetooth speaker, mood light and a light level of carbon dioxide emitter designed to help induce sleep. Go sleep touted its tech by including a 2018 paper by Stephen Snow describing how elevated carbon dioxide concentration indoors stimulates the part of the brain that controls heartbeat and respiration. The wired went and talked to Snow and said, Hey, do you know these people are using your paper? And Snow said, yeah, my papers findings don't really correlate with go sleep's claims. He said he was studying the effect of CO2 on work ability, not sleep. And he said it's not technically a correct attribution to this specific paper. Go sleep is also doing their own research on the safety and effectiveness of their product. That's ongoing, hasn't been published yet, but here's how it works. It's made by a South Korea based company called NYX has a long rectangular arm that floats over you when you're asleep, distributing the sleep air.  It has a replaceable CO2 canister in its base. Once you're asleep, it analyzes your environment including humidity, temperature, CO2, concentration, light levels and noise set to launch in South Korea in April for $2,000. With a U.S. rollout coming this summer and more markets after that in 2023. Another bummer of a product because I have this quest to sleep better for years and years. I want to sleep better. Spensive, super expensive bed made a difference. Different, you know, pills you take made a difference. And I'm like, ooh, what device I could put next to my bed and oh, and possibly never wake up. No, thank you. I'm going to start a service and hire MMA fighters to go to your house and help you sleep. What the heck, man? Come on. Yeah, I mean, I'm always the one who's like it probably isn't as bad as it sounds or it sounds crazy, but it might work in this case. It probably isn't as bad as it sounds.  And so it's probably using a light amount of CO2, but it's probably ineffective. And any, any way you look at it.  You know, the thing that we have too much of in the atmosphere, right?  In fact, their marketing pitch says ever felt drowsy in a closed car like, no, come on, read the room. That's bad. How long before there is a movie where this is the device that's hacked and wrong? Yeah. I mean, I think it has to get and great at everybody's saying in a garage, it's carbon monoxide, not carbon dioxide fair point, but, but still people are going to make that association. All right, let's check out the mailbag. Ernest wrote in the $700 mosquito repellent sounds like a great product for the hospitality industry. I think the theme parks outdoor restaurants and shopping malls, hotels, resorts and event venues would shell out the coin to keep the bugs away if it would improve the client experience to get more butts in the seats. Yeah. I like that too. I $700 is a lot for my backyard unless it's really works or I live in, you know, New Orleans where the mosquitoes are really bad or Houston. That really worked. I would be all in.  Hey, do you want to take your mosquito problem? No, get out of here. Yeah, I can put something up myself, but, you know, if they came up with something that was definitive. Yeah, that'd be in good news. Alison Sheridan says a member of her family is moving to Houston and she's going to make them buy this. So we may, we may find out if it works. Well, we'll get Alison to report back. Thanks to our brand new bosses. We have new folks joining us today and very happy to have you. Jason, Sikani, Nate and Adam just started back in us on Patreon. Thank you, Jason, Sikani, Nate and thank you, Adam. We are just going to go to thanking people by first name just to be safe, but we still fully, fully thank you and we'll shout you out if you become a new boss, patreon.com slash DTNS. Of course, busily illustrating today's show has been Len Peralta. Len, what have you drawn for us today? You know, there's so many great things on today's show. I decided to go with the, the Metaverse phone, what that's going to look like. It's so great because we don't even know what it's going to look like. So this is a, it's called phone dial you in the metaverse, the phone dials you. That's the only way you're not for us. That's the only iteration so far that I know that the phone hasn't dialed us. We're always dialing the phone. So we're going to flip it around and make it a little bit different. So, so yeah, that's my, that's what I say is going to happen with the metaverse phone. If you would like this print, go to my Patreon, patreon.com, it's also my online store, online store is Len Peralta store.com. That phone's about to eat someone. You're going to want to see this. Thank you, Chris, Ashley. What do you got going on today to tell folks about? Hey, you can always find you boy with his two homies on SMR podcast recording every week talking tech and yeah, new episodes of barbecue and tech are in the hopper. So we'll be putting that out soon starting out probably with some Super Bowl recap and some pulled pork and stuff and moving on from there. So cool stuff coming up. My mouth is already watering. Go get that folks sign up now. So you don't miss the new episodes bbqandtech.com. We are live Monday through Friday 4 30 p.m. Eastern for now. That's changing on March 15 21 30 UTC find out more daily tech news show dot com slash live back tomorrow with back to back SMR podcast host Rob Dunwoods with us. Talk to you then. This show is part of the frog pants network.


My first article, one of my main articles I wrote on Wikipedia was the article on stab wounds. Basically, it's when an object deeper than it is wide enters the body and causes some form of penetrating trauma. And, well, it can infect many organ systems, hurt you physiologically, but most of the time you don't really die from the stab wound itself.  My name is Peter Cote. I am an EMT. The way I look at it is I don't want people to get hurt, but I want to be there when they do. Well, one day I was in Newark helping out at the hospital. We had this woman come in, she just all of a sudden just started barfing up blood. It's kind of like this woman's barfing with blood. How do I fix that? What do I give? Using Wikipedia, I've been desensitized and now I can look at things in a more clinical way and not let emotions overcome me in serious real-life life or death situations. When I edit Wikipedia, I need to make things that are exact and precise because I don't want to give false information to other people. That requires a lot of research and a lot of thought to be put into it before you actually put something into an article. This process of editing Wikipedia is a great study technique in a way because I really need to know what I'm talking about to show it to users. To get through EMT class, I edited Wikipedia all the time. I wrote articles on acronyms and such. If you're able to write an article on Wikipedia and explain it to another person, you can pass the test with an A+. I'm telling you. I help the medical collaboration on Wikipedia where editors from a medical background will just come together and help improve a certain article every month. The placebo, diabetes, malitis, scabies, can I say that? You should care about Wikipedia because it's a tool where you can learn and teach others for the price of nothing. It's beautiful.