As I promised, we are trying to pull that Josh Donaldson this video. Wish me luck. What's going on Leaf Nation? It's Leaf from back again and welcome back to the channel. Today we are back once again with an MLB The Show 21 pack opening, but today we are on the hunt for that 90 overall Josh Donaldson. I need him. So once again we have some packs already loaded up that we're ready to open that we've been getting from just playing the game essentially, but we're also buying some packs. So the plan is to buy all five of these. And as you can see in the bottom right there, the featured item is a 90 Josh Donaldson. Actually my camera is in the way. So let me do this real quick. So if you can see that 90 overall Josh Donaldson, we absolutely need him. We absolutely need him. So we're buying all five of these. This gives us an increased chance of getting this Josh Donaldson. And then we will buy the 20 pack bundle right there. All right. And then we're left with 250 K 215 K stuff. So looking at the headliners pack contains one silver or better player item, two other players and one assorted item, increased chance to find a featured headliners item player or uniform. So the uniform item is a Red Sox one. But like I said, we're looking for that Josh Donaldson. So without further ado, let's go open up of these packs. These we just got from doing the moments here. So we're looking at a Musgrove, which I very much enjoyed using. Or we're looking at Ryan here. And I'm not sure who I want to take. Well, you know, we're going to go with we're going to go with Ryan, just because pictures are pretty much easier to get. And then we got Dylan Carlson or Honeywell Jr. I'm going to go with Dylan Carlson. And there's that pack done. The first inning. So these are just the silver and bronze guys here that we can just take. It doesn't really matter who we go with. Let's go with Barry Larkin. Why not? And then Andrew Jones. Give me someone from the AL. Yeah, we'll go with Jones because he's from the AL. So there's that done. And now we get opening weekend pack here. Mercedes or Nate Lowe. Let's go Mercedes. I think that's I may have read that name wrong. We'll go Isbell. No, we'll go Detroit Tigers and then the Diamond Bad. So not bad. And now we move on to these. So we have 24 of these standard packs. We've yet to pull a diamond. I am hoping that today is the day we pull our first diamond in MLB, the show 21. I'm hoping for it. We have a gold pack player or better. We'll wait for that. And then the headliners are what we're saving for last to try to pull that 90 overall. Josh Donaldson. So come on game. Give me something good. Last video wasn't the greatest. We got the Houston uniform. That's not too bad. But last video wasn't the greatest. We didn't pull. We pulled a lot of golds. Just no diamonds. All right. 23 to go here. LeBron's number. Diamond in this pack because that guy's a gem, right? No. Okay.  Not that we need him because that's next video coming up actually doing the Jays collection. But wait till next video. You'll see. So come on. Give me something good here. Just a bunch of bronzes. I just want to see a diamond. I've yet to actually see a diamond walkout besides the ones that the game has given us for free. So not for free for pre-ordering. But you know what I mean? I want to see one out of one of these packs. Josh Donaldson or not. I just want to see a diamond. That's all I'm asking for. Josh Donaldson. If it is Josh Donaldson, it's obviously a plus because the video that we're doing right now is a hunt for Josh Donaldson. But so far, we are not getting lucky. Marcus Strom and former BlueJay love that man. 18 more to go. As in the Leaf for 18. Shirley a diamond. No. A bronze. My goodness. I don't think I have pack luck on this game this year which is absolutely insane because last year I had some pretty good luck. We pull our first gold. Starly Marte. That's actually not a bad pull. 83 overall might hang on to him. He might upgrade. But not a bad pull. So we get our first gold in Marte. Not too bad. Now we get a diamond now, right? No. A bronze. Okay. All right. Cool. All right. 15 more to go. We've pulled one gold out of these. We got a gold equipment item. Bronze player though. Seattle Mariners batting practice roadie uni. Not too bad. A decent looking uniform there. No diamond in this one. David Peterson. Brian Barker. I don't have them. So it's a good thing. I guess I need them. 13 left here. Still no diamonds to show for in the packs that I've opened. It's starting to get very sad. I'm getting very depressed. I said this last video and I'm getting even more depressed now if anything. We get another gold player. Brad Hand. Not too bad of a pull. We'll probably just sell them right away to be honest. Yeah. I don't know what I should be doing with cards right now. If I should be keeping them or selling them right away. What I've been doing is selling them because I think this is one of the prices they're going to be at their best. But I might just start keeping these guys so I can just start getting some collections done to progress in the collection aspect. Another gold, Matt Olson. I actually really enjoyed using his card last year. So not a bad pull. We will take him. Matt Olson. Not a bad pull. We will definitely take him. Like I said, I enjoyed using him last year. I think he had a face of a franchise last year. And look at all my friends. OG Kevin Bacon pulled Aaron Judge and I've yet to pull a diamond. This is crazy. I feel like I'm the only one out of my friends that's had zero pack luck. No diamonds to show for. And it's crazy to me. I can't, I cannot believe it. Seven more of these to go. And then we're out of packs for the standard packs. Yeah. Bronze. No diamonds to show for. Six more to go. I'm getting trolled here EA. I said EA. I'm getting trolled here San Diego studio. You can tell I'm a hub player. We got another gold, Michael Bradley. Not too bad. So make that three golds and 24 packs we've opened. Not too bad. We have five more to go. And a little slow animation there. Maybe a diamond loaded in there. No, no. Okay. Another Oakland A player. Four more to go. We're getting the slow animation. So maybe they're loading up a diamond for us here. No, it's a bronze again. Okay. I don't get it. I just want, I just want a diamond game. Come on. I just want a diamond. Nothing in this one. My goodness. Second last one. We'll do a little nose pack for the boys here. Will this be the one with a diamond in it? No, it's going to be another one with a bronze in it. Nice. Nice. Nice. Last one. Don't know what to say anymore. Little depressed. No diamonds to show for. But we still have the headliners pack in the gold packs. We'll do a gold pack. We get a gold player better. If we can get a diamond out of this, beautiful. Let's see. It's a gold player. Figures. Charlie Blackman. Not a bad card. I enjoyed using him a lot last year. So this is someone I might slot onto the team for the time being, but now we move on to these seven headliners trying to get that Josh Donaldson. So this contains one silver, a better player, two other players and one assorted item, an increased chance to find a featured headlines player and uniform items. So looking for that Josh Donaldson in these, we have five of these packs to open to try to pull them. We get a gold player and it's Drew Pomeranz. Hopefully I said that right. 80 overall. Not too bad. Four more to go. Oh my god, please. Just have a diamond in one of these. We get another gold. We're going to go one by one in this one because why not? You know why? Let's why not? Gold player. Alvarez. Not too bad. Another 80 overall, but not a bad gold player to take. We got three more of these left. Not even a gold in this. Just a silver. Two more. Oh my, am I actually not going to pull a diamond in the two pack openings I've done so far? This is crazy. Last pack and I'm getting sad. Last chance at a diamond and it's not even a gold. My god. I have no luck. All right. We're going to do 10 more packs here boys. Get myself down to an even 200,000 stubs. Okay. Here we go. We're hoping for the best here. Silver item. That's fine. We got 10 of these left. All right. And then we're done with this pack opening video. Hopefully there's a diamond just chilling in here. But what it's looking like so far? Well, my luck.  A gold player, JD Martinez. Not too bad. He has some good power against a lefty. Good contact against a lefty. So not a bad player. Might be able to use him. Going to use them for the Boston Red Sox collection actually. Trying to get the ALD stun. So not too bad. Here, bronze player. Seven more to go. This is getting ridiculous that we have yet to pull a diamond. And I'm getting, like I said, very sad. I feel like I've been very repetitive this video, but it's crazy that I haven't been gifted a diamond yet. We get a door, a door, a door. I hate them, by the way. Just saying. Anyways, we'll continue five more packs to go. Another silver. Make that four. We're just, we're flying through them because honestly at this point, I don't think we're going to pull one. And it's actually crazy to me. We got a Dodgers batting practice uniform. That's all I've been getting. I've yet to pull a diamond player. Still have yet to pull one. Two left.  We tried our dang hardest. I hope you guys know that we pull another strome and make that two in this video. Three overall. And last pack for the video and not one diamond. So to say the least, not impressed with my luck this year. But anyways guys, that's going to be it for today's video. Hopefully you guys did enjoy it. Let me know if you guys, I had better luck than me. I'm hoping you guys have because my luck has been not inexistent to start off the game. So it hasn't been ideal. It is what it is, but hopefully you guys did enjoy this video. If you guys did, be sure to drop a like on it. If you're new around here, make sure to hit the subscribe button down below. And that is it for today's video. Thank you guys very much for watching and I'll talk to you guys later. Peace!


We're here with Daniel, who came all the way from this beautiful waterfall garden. Yep. Daniel's here all the way from Texas where this is made, and he's been to Niagara Falls. These horses aren't real. He has our tip today, so we're so excited. This is a train wreck. I am the production manager for Art Resin, manufacturer of all of this wonderful liquid gold, and what I want to tell you guys is the hardener is sensitive, it's a very sensitive liquid. It's very sensitive to oxygen. Now what oxygen does to hardener is it turns it yellow. So my tip is after you're done pouring it, just put the cap back on, keep that oxygen out of your hardener, and it'll keep it nice and clear right away. Just put the cap back on in a timely manner, protect your hardener by keeping the air out and you'll have a nice clean product. Look out! Well, thank you so much. I appreciate that tip, and if you have any questions, leave them below, and let's just sing our way out. Video Friday with Art Resin! Oh, thank God that's over.


Welcome to this edition of Abel Denone, the one and only program that focuses on our needs, concerns, and achievements that are differently able in Vermont and beyond. I'm Loren Seiler. I'm Loren Seiler. And on this, on the phone edition of Abel Denone, we have Shakemo Sajame of the Partisan Simes. He's the editor of the Partisan Simes. And myself, Loren Seiler, I happen to have a column with the Partisan Simes called Able to Speak Up, which is based on Abel Denone, and it's an opinion column, everything from housing to homelessness and the like. And the Partisan Simes is a local paper within the Partisan Center of the Bronx. Thank you for joining us, Shakemo Sajame on this edition of Abel Denone. You see, economic development will not come to a neighborhood unless there's a step in that, step in person and step in poverty. So 10 years ago, we decided that we will make public safety our priority number one for our acquisition. And we launched several, you know, programs designed to number one build bridges among residents, among, you know, the residents and law enforcement, among religious leaders and community activists. So that culminated into this December. So, you know, among the groups that were active in building peace and harmony and quality of life in the Bronx, we've decided that, you know, why not take the month of December with a lot of religious groups to celebrate and make it a big month. And let's make it every day in December a day where we truly celebrate people for existence, harmony, love, and anti-violence. And that, you know, we are very happy that we will be celebrating our 10th year anniversary promoting peace in the month of December and along with 22 other nations in the world, this December movement. So we're excited about it, you know, the month of December has officially, you know, because Christmas, because Christmas in Oslo, South America, Kwanzaa, it shouldn't be, I mean, it's okay to accept gifts, but, you know, we should accept peace and harmony first.  So would you agree that we as a people and as a nation and as the world need to change to have more peace in this world? Because there's too much military spending. There's too much problems going on with our administration, etc. How would you, in your opinion, deal with that? So that we spent almost $15 trillion in global conflict and $15 trillion. So United Nations said, if we have $250 billion, we will eradicate poverty. I mean, hunger. If we have $200 billion, we will send every boy and girl to school, meaning universal, global, universal education. Now we spent $15 trillion in conflict in the United States. Since you said about hunger, you know, Trump is getting ready to turn around and, you know, I'm sure you know about the free lunch program, okay? So that schools have. Trump is getting ready and he wants to get rid of that. So why are you getting rid of a program that people need? Some school lunch programs, that might be the only meal a child may get throughout the whole entire day, both breakfast and lunch and some schools are serving dinner. What is your take on that? You said 35 percent. Wow. Wow, okay. So you have, you know, you have a situation, nothing, but they come from Celtics and these Celtics are not stable.  So, but again, they said elections have consequences. I think Trump need to, you know, need to be very careful concerning who they elect so that, you know, these entitlements that people who need will not be eliminated. And as far as the school, as far as the school lunch is concerned, I've done some research and it's pretty alarming. Do you know that half, since you're going to be running a school next year, do you know that half the people, half of people who throw out their school kids, they throw out the school lunch, right, and it ends up in the garbage? So, and, you know, you can feed armies with that food.  Go ahead. You know, these kids are coming from homes that have a very responsible adult in the state's life, whether they're biological parents or adoptive or whether they're in shelter. So, some of these parents are no better than the kids. Therefore, you know, part of discipline in parents is how far the lunch is because if the child will not eat it or is not healthy or whatever, so then the school should dedicate the adult in this kid's life. So, there are lots that can be done. One of the programs we have in our school, we call it compound defect. And what we mean by compound defect is that a lot of kids who are struggling in school, it's not that they're dumb, it's not that they're bad, anything, but they are circumstances that is hindering their progress. And the only way you can help them, you know, become a keeper, if you can find out what is holding them, what is bothering them, what is hurting them, what is preventing them from, you know, from succeeding and then you dread it. So, which means that the advocate is not only in the school, but, you know, throughout the child's life and community and anything that attach to that child must be known and what is the address addressed. So, we call that compound defect because, you know, negatives are compound, so it is positive. Poverty, poverty. Poverty is the same. Yes, it's homeless. So, now, is your school going to be educating parents as well? Like if a parent doesn't have their GED, or is that going to, you know, factor into anything? Yes. One of the programs also we have lunch with only the PR stress, PR stress, meaning that, you know, because we serve, you know, diverse parents' populations. We have parents who are new immigrants, you know, to the system. We have parents who did not go to school or who did not finish different high schools. We have parents, you know, who are very busy, even though they cannot participate. So, you know, a wide variety of differences. So, it is the schools, again, moral responsibility to find out where needs are, you know, where they need an address. So, if, let's say, the homework is not being done because the parents cannot help their child. Not if the parents can help their children with math and science and whatever. Yeah. Then either you provide it in-house, or you provide a referral where the child can get that help. And in cases where, you know, you can provide, you know, English a second language, or you can provide GED programs for the parents to compete. So, but the bottom line is you cannot have achieving student population. Are you going to have a separate program within your school dealing with disabled, especially, students? Like in schools, you know, certain requirements dealing with specialized population is not affordable to us. So, what we do is we have the linkages, you know, where we can refer, you know, schools that are deemed very high performing. And so, where the child can get what they deserve. Because, you know, if a child is schooled in an environment that is not conducive for learning because of who they are, for their, you know, their physical needs, then you're wasting that child's time and then you're also causing harm. So, even if the child needs to be transported to Manhattan to get what they deserve, so be. But the most important thing is that the child be in an environment that is conducive for him or her, you know, to take it as crime. How are you going to deal with bullying? Yeah, how are you going to deal with student bullying and all of that stuff along with that, because that's a huge issue.  In terms of school bullying, you have people around the nation that commit suicide because of it. So, how are you going to deal with that issue? Bullying any type of thing because most two weeks of the child coming to the school are spent making sure that this child completely adopts our policies and rules of environment. And sometimes it's challenging. But after the second week, the child began to, you know, to adopt and realize that, you know, it's a different environment.  My parents said that if somebody hit me, I'll hit them back, blah, blah, blah. We said, no, there are possible, there's no hitting. There is no hitting back. The teacher is responsible for your safety and well-being. If anybody says something bad or anybody does something bad, it is the teacher's responsibility to take care of them and you. Because if you take matters into your own hands, both of you will be punished and both of you will be suspended. So, after the end of the second week, they should adopt our environment and they become family, no problem. Well, we would like to thank you for joining us on this edition of Ableton on Air. We'd like to thank Shaqem Musa Jameh of the Park Just At Times. You do wonderful work in the five boroughs and in this world. We just want to thank you for joining us on Ableton on Air. For more information on the Park Just At Times and my column, able to speak up as well as other things with the Park Just At Times, you can reach them at www.ParkJustAtTimes.com. Again, thank you, Shaqem, for joining us on Ableton on Air. We really appreciate it. Continue to pride them at the future for you and your family. Okay, thank you. We would like to thank our sponsors, Washington County Mental Health. We mount support services and all that Israel. Thank you again for joining us on this edition of Ableton on Air. I'm Lauren Seiler. I'm Alvin Seiler. See you next time.


In an emergency, you need to get information fast. To help you get that information fast, Army Europe has implemented an Enterprise Network Alerting System and the Telephone Alerting System. Get information notifications straight to your email and telephones. In order for you to get the alerts, you have to register. And it's a few short steps you can take from your work computer. For more information on the system and how to get registered, contact your Garrison Emergency Management Office.


Christie asks, what are your thoughts on the current trade war between the US and China? What role, if any, could Bitcoin play, or how could this impact Bitcoin? I honestly think it's very difficult to predict the short-term impact of cryptocurrencies on this trade war. But what is clear here is that these trade wars are happening in the context of broader currency wars. This isn't about trade, it's about exchange rates between currencies, and the ability to devalue the currency without shifting the trade balance ridiculously in one direction or another. Effectively, large countries and federations like the European Union, Japan, China, Russia, the US, etc., are all engaging in currency manipulation in a desperate attempt to reduce their debt load by devaluing the currency through inflation and allowing the currency value to slip. When China devalues its currency, the US finds its currency strengthening. The problem with that is that Chinese goods are more affordable for Americans, they're cheaper. Americans buy more Chinese goods, more trade happens in the direction of China, more dollars flow to China, and the trade balance shifts in the favor of China. Tariffs are a way to add another secret tax on people without actually passing any tax increases. By implementing tariffs, those tariffs directly impact the cost of goods, which means they drive price inflation in goods, they weaken the dollar, and hopefully at least in the minds of those who are implementing these tariffs. They act to decrease the debt by devaluing the national debt in US dollars. If you owe $20 trillion, but $20 trillion today is only worth as much as $10 trillion yesterday, then effectively you only owe $10 trillion, so the lower the value of the currency, the less your debt is. The US government is desperately trying to do that, but so is the Chinese government, and so is the Japanese government, and so is the European Central Bank. As a result, all of these different nation-states and federated nations are basically on a race to the bottom, trying to devalue the currency against everybody else. When one of them devalues their currency, that only works for a short period of time, because then if all of the others devalue their currency, they're back at parity. It's a relative game. Your currency is only devalued if everybody else's currency stays strong. That's why we call it a race to the bottom, and it's not good for the economy. Protectionism never works, and the end result is that the middle class in all of these countries suffer, while the richest of the rich essentially get subsidized through giant asset bubbles. Cheap debt. So what's going to happen with the trade war on Bitcoin? Same thing that's been happening forever. The more fiat debases itself, the more that makes Bitcoin the strong currency. So you can look at it as Bitcoin becoming more valuable over time. Of course, the other way to look at it is that it's not Bitcoin that's getting more valuable, it's the US dollar that's getting cheaper. Toby asks, anti-encryption law in Australia, impossible Bitcoin confiscation. Hi, Andreas, I heard you saying that you had to postpone your visit to Australia due to the new anti-encryption law that cracks down on encrypted messaging services. Very embarrassing for Australia, by the way. Couldn't a Bitcoin technically be seen as an encrypted message service to exchange money? Might this implicate for the future that citizens could be forced to provide their private keys to avoid jail, like the USA did with the gold confiscation? We know that the desperate government is capable of extreme measure in order to steal people's assets by taxation or confiscation. Toby, I had to postpone my visit to Australia because Australia passed a law that made it mandatory to provide passwords for any devices when you cross the border into Australia. And if you don't, they can put you in jail for five years. Now, that means that if I go to Australia, I have to go with no devices at all, because I can't go into a country with my devices that have confidential material, client attorney privilege material, material from my companies.  But basically, the fundamental right of privacy that we all have is basically being violated by laws like this. So, Australia is doing this, and I'm not going to basically put my privacy at risk by giving passwords to any government, primarily because I don't trust governments to store data securely, because they've proven again and again that they can't store data securely, it keeps leaking. So, I don't want my data to leak together with the data of hundreds, or thousands, or hundreds of thousands of other people. Theoretically, Australia could consider a Bitcoin hardware wallet as an encryption device to which you need to provide your password. And if they did that, God knows what they'd do with that device. I wouldn't think that's very safe. So, yeah, I mean, it's a very difficult situation. New Zealand has also passed some similar laws, but in their case, there's a monetary fine, but no jail sentence, so they'll just basically deport you if you refuse to give them passwords. But in Australia, it's much worse because you do not get deported, you get put into jail. As a foreign visitor on a visa, you'll get put into jail if they ask you for your password, and you don't give it to them. So, I don't see any way how I could currently travel to Australia to do my job without any digital devices on me. The chances, of course, of me being actually stopped at the border in search for that reason pretty slim, but any chance that's not zero is bad enough for me, so I'm out. It's really sad that we're seeing these laws being passed because they don't actually serve the purpose that they purport to serve.


For these centralized electricity markets Okay, I'd said that there were that starting in the 1990s. There were two competing models for setting up electricity markets right one in California and one in these PJM states and so the What what California did was it tried most directly to replicate Financial exchange right like the New York stock exchange for buying and selling electricity And so it opened what was called the California power exchange, okay, and so California's biggest utilities right they all they all agreed to go along with this and they agreed to buy all of their power from the power exchange Okay, so how the power exchange worked was this First Individual generators decided whether or not they wanted to offer their supplies into the power exchange Okay, so this is called Decentralized unit commitment. Okay, so it was up to the generators whether or not they they wanted to make their Capacity available to the exchange Okay, the bids from the generators there there was there there was an overall cap So a maximum amount that the generators could bid But beyond that the generators could more or less do whatever they wanted right they could submit whatever type of supply offer they wanted to okay, and then just as generators had to submit supply offers the three utilities in The the the three large California utilities. They also had to submit demand bids okay, so The and so the idea was that you would have So many suppliers rushing into this market to serve so much electricity demand That This that there would be this sort of vigorous competition that that would ensue sort of like in an auction Okay, so how the the way that the power exchange market worked was every hour Suppliers would submit supply offers which Is the blue curve here okay, and The supply offer indicated how much generating capacity the supplier was willing to make Available to the power exchange at what price Okay, so when you put all of these together you got what we would call a supply curve or an offer curve And that's in the blue On the demand side The Utilities had to submit The amount of electricity that they were willing to buy from the exchange at some price And so that's the pink curve right over here And when these when these purchase offers were Aggregated together you got kind of a California system demand curve and where The supply and demand curve met Determined the price and quantity at which the electricity market would clear Okay, so In this example right and and this is this is a this is a picture from the late 1990s So in in this example the point where supply equals demand okay The market cleared for this particular hour at about 32,500 megawatts of Generation capacity would be utilized right to serve 32,500 megawatt hours of energy demand and the market clearing price would be $190 per megawatt hour okay, so this was repeated every single hour of every single day and In the event that there wasn't enough Electricity purchased in through the power exchange to serve all of California's electricity demand there was this there was sort of a there was a secondary or balancing market that would that would ultimately equate demand and supply Right on a short on a sub hourly basis So this was basically how the power exchange mark model worked, okay, and the the power exchange the California power exchange lasted for about two and a half years and after the California power crisis It's part of California sort of screeching halt to electricity deregulation. The power exchange was shut down okay, and the And partially because of California's sort of dismal failure The power exchange model has not really been replicated anywhere else except Alberta up in Canada where it's actually they actually have had a Power exchange type market for I think well over a decade right and see if they seem to like it But in California didn't work so well


This lecture is part of an online commission of algebra course and will be about stably free modules So you remember that last lecture we had a long sequence of modules Which are minor variations of free modules and the ones of these that were closest to free modules at the stably free modules So a module M is stably free if M direct sum A finite number of copies of R to the M is free The key point here that we as we'll explain later is that M has to be finite So this is all over a ring R And the first thing we have to do is to give an example of a module that is stably free But not free. It's completely trivial that any free module is stably free because you can just take M equals 0 So here is a stably free module That is not free and The simplest one is the tangent space of a sphere S2 so we draw a sphere S2 and We take its tangent space, which means at every point we've got this little tangent plane of the sphere Well, there's a bit of a problem with that is it's not at all clear how the tangent space of a sphere is a module over a ring Well the way you turn it into a module over a ring is as follows We let the ring R be continuous functions on the sphere with values in the in the real numbers and We let the module M be the space of a continuous Vector fields So this is just a function from the sphere So the value at each point is just a tangent vector at that point So you can think of an element of M as just being some sort of vector field on the sphere. So you choose a Tangent vector field at each point of the sphere and this has to vary continuously And we notice that M is a module over the ring of continuous functions because it's a module under point wise multiplication If you've got a continuous function with some value at a point you just multiply the the tangent vector at that point by that continuous function So we've got to show first of all this module is Stably free and secondly, we've got to show that it's not free so let's first check that M is Stably free and M is stably free because M direct sum R is isomorphic to R cubed if we add one copy of the Free module over R we get to some of three copies of the free module over R And this is easy to see because M corresponds to the tangent Bundle Of S2 in other words for each point S2 We're assigning its tangent vector and R is going to correspond to the normal bundle so each point of S2 we assign a vector of the normal space at that point which is the Vectors and R3 or thumb or to the tangent space and you notice the normal bundle of Sphere S2 is is actually just isomorphic to the one-dimensional free bundle where you just take S2 times a copy of the reels as a vector bundle over it and this is because if you take a normal bundle over a sphere at each point, we're just Signing a vector in the normal space and you can just take a Point say at distance one from the sphere in some metric and that will give you a cross-section of the normal bundle showing its trivial on the other hand if you take the sum of the tangent bundle and the normal bundle of the sphere then to each point you're just assigning Something that's obviously isomorphic to three-dimensional Standard three-dimensional space you're working in so the sum of the tangent bundle and the normal bundle is canonically isomorphic to Sum of three copies of the reels So the tangent bundle plus the normal bundle is a free vector bundle So that's how you do it topologically. It's kind of obvious that M plus R is isomorphic to R cubed and we can also do this algebraically so So first of all we take the ring of all continuous functions on R Well, the ring of all continuous functions on R is a bit of a mess if you're doing it algebraically So let's just take the ring of all polynomial functions on on the sphere. So let's take all polynomials on Three-dimensional space and quotient out by the polynomials vanishing on the sphere So we get a ring which you can think of as being polynomials on S2 and Now we can define a module M so So we're going to take this to be a sub module of of some of three copies of R So R3 is going to be the set of all points a b c and now we don't want all points a b c a b c or an R. So this is a You can think of this as corresponding to choosing it For each point of the sphere you choose a Vector lying in R3, but we we only want the ones that are tangent to a given point of the sphere so We want a x plus by plus c z is equal to zero, which if you think about a bit corresponds to restricting to the tangent space So here M is obviously a sub module of R3 and you can write the decomposition of R3 as M plus R By mapping a point a b c To well, we've got to make it into a point with this property here. So we might as a minus x d B minus y d C minus Z d and Point D sets that so D is in R and this is in M and here D is just going to be the point A x plus by plus C z and you can easily check that this gives Shows that M plus R is isomorphic to R cubed So that shows that M is stably free and if we want to show that M is not free Well, this follows from the hairy sphere theorem So you remember the hairy sphere theorem says if you take a two-dimensional sphere and Have a nice vector field on it at each point then any any continuous vector fields On or on on on S2 vanishes somewhere at some point and This means that the tangent Bundle can't be trivial So the tangent bundle is Is not a free bundle because if it were a free bundle then we could take a Section of the free bundle that didn't vanish anywhere And so this implies that M is not a free module over over the ring R Actually, you can do this in other dimensions and there's nothing particularly special about a two-dimension Sphere, so let's take an n minus one dimensional sphere in n-dimensional Real vector space so as before we have module M over The ring R, which is either continuous functions or polynomial functions on the on the sphere I don't really really care and We see that M Direct sum with R is isomorphic to R to the n just as we did for n equals 3 so so This always gives a stably free module and we can ask when is M free and It's free When n equals 1 2 4 or 8 so this is over s 0 s 1 s 3 and s 7 It's fairly easy to see that it's free in these cases. So these three cases s 0 s 1 and s 3 are groups They correspond to the Elements of norm 1 inside the reels or the complex numbers or Hamiltonian quaternions And if you've got any group then it's tangent bundle is trivial because there's a canonical way To identify the tangent space at each point with the tangent space at the origin because you can just left Multiply by a group element. So the tangent space So the tangent space is trivial or rather free so S7 is a little bit tricky because that's not quite a group. It's a but it's got a a sort of non associative multiplication with inverses The key point is that the multiplication is a sort of inverse and this this sort of corresponds to the multiplication in the Octonians or Cayley numbers And it was an open question for a long time back whether when there were any other spheres For which the tangent bundle is trivial. This is this is the famous vector fields on a sphere problem Can you find n linearly independent tangent vector fields on an n dimensional sphere or guess n minus 1 dimensional sphere? And this was finally solved by JF Adams Which says no other N work and there seems to be no particularly easy proof of this Frank Adams is original proof of the very hard piece using higher co homology operations and things like this And there are now slightly simpler proofs using k theory, but there seems to be no Particularly easy proof of this. I mean you can give easy proofs for some values of n And the hard case is when n is a power of 2 So that actually seems to give an example of a an algebraic problem for which the only known solution involves Algebraic topology Another example when stable Stably free modules turn up is in sares conjecture So sares conjecture which was finally proved by quillen and Suslyn What's the following he said is any projective module over Over a polynomial ring over a field free I guess this should be a finitely generated projective module and sares motivation for this was that Affine space kind of corresponds to A real vector space and over over a real vector space One can show in algebraic topology that all finite dimensional vector bundles of trivial I'm now finally generation projective modules over rings kind of correspond to vector bundles as we will see a little bit later So the analogous Statement would be that any finitely projective module over Over the coordinate ring of affine space is free So what does this have to do with stably free modules? Well, it turns out it's easy to show It is Stably free And we can do this as follows So first of all There's a very famous theorem of Hilbert that we may or may not get to later on in the course Which shows that if you've got a projective module or from that matter any module over a polynomial ring Let's call this projective module P zero then it has a finite free resolution by free modules Up to Fn Now if this module happens to be projective Then we can split this map So there's a map from P naught to F naught splitting it so F naught can be written as P1 plus P naught mapping to P naught and Similarly the map from F1 to F zero Maps F1 on to P1 and this also splits so we can write F1 as P2 plus P1 And so on and it goes all the way up to here. So We get naught goes to Pn plus one and All the all the free modules hit all the free modules here split So what this means is that we now get P0 plus P1 plus P2 plus P3 plus P4 All the way up to Pn plus one is isomorphic to P0 plus P1 plus P2 plus P3 and so on and all these pairs are Free So we've got P0 plus a finite rank free module is a finite rank free module. So P0 is stably free however So we can get to stably free quite easily but getting from a stably free module to a free module is really very difficult It turns out to be really quite hard to tell the difference between stably free modules and free modules because most Natural invariance you can think of for modules turn out to be much the same for stably free modules and free modules There's a There's actually an elementary way of phrasing says conjecture. So So says conjecture to be reduced to showing that every stably free module over the polynomial ring kx1 up to xn is free and This is the same This is you can easily reduce to the case where you just add just one copy of M So we want to show that if M plus R is isomorphic to R to the N Then this implies M is isomorphic to R to the N minus 1 Sorry, that's I don't want this. That's the same as that one that you call that M and and If we've got an identification of M plus R with R to the M then the A generation of R can be identified with the vector in R to the M So we have a vector F1 up to FM with Fi in R given by this Identification and you can easily check that F1 up to FM generate The unit ideal in R and furthermore This space is isomorphic to R to the M Turns it's quite easy to check that this is equivalent to the fact that the vector F1 FM Can be extended to an invertible Matrix in M by M matrices over the ring R So this is an elementary version of says conjecture that says nothing about modules or anything else it says that if you've got Vector of M polynomials in N variables that generate the unit ideal then you can extend it to an invertible M by M matrix. It's very easy to check this for M equals 1 rather harder for other N So We can also investigate Stably free modules of small rank in particular rank zero or one. So let's look at stably free Modules of Rank zero And so what this means is that M Plus R to the N is isomorphic to R to the N for some N the rank is obviously going to be the difference between this number and this number which is zero in this case So first of all if we look at M plus R1 This isomorphic to R1 It's quite easy to show that M equals zero more generally if M plus N Is isomorphic to R with M and N sub modules in other words M and N ideals Then you can immediately see that M N is equal to zero Because it's a direct sum and so So M and N not free If M or N is None zero so if a sum of two ideals is Isomorphic to R and one of them one of the ideals is isomorphic to R the other one must be zero So this implies that if M plus R is isomorphic to R then M is isomorphic Well M is just zero Um more generally if M plus R to the N is isomorphic to R to the N Then what you can do is You can take nth exterior powers of both sides Lambda to the N so we recall that lambda to the N of a plus b nth exterior power is lambda to the N of a Plus lambda to the N minus one of a Tensant with lambda to the one of b and so on So if we take the nth exterior power of R to the N We just get R And if we take the nth exterior power of this We get an R plus Next one will be M tensor with R to the N and then other things we don't care about So we've now reduced the case. You've got a module plus R is isomorphic to R. So M tensor with R to the N is isomorphic to zero. So M is isomorphic to zero So so the only stably free module of rank zero is just zero Next we can look at stably free of rank one Unfortunately, this turns out to be somewhat easier than the case of rank zero So if M plus R to the N is isomorphic to R to the N plus one Then all we can do is we take N plus one exterior powers and We find here We get R because the N plus one thick stereo power of R to the N plus one is just zero and here We take the N plus one thick stereo power of this which is zero and Then we take the nth exterior power of this which is R Tensant with the first exterior power of M, which is just M and then we've got various other things Involving the Second exterior power of M tends with something Which we don't really care about Anyway, so so here we've got M plus something is Isomorphic to R And now We can add R to the N to both sides So we find something or other plus M plus R to the N is isomorphic to And R to the N plus one So So we know that these two are equal by assumption here Um, so By the case of stably free modules of rank zero we see all this stuff here must vanish so We find that this then implies that M is isomorphic to R because all this stuff here is zero and So Stably free modules of rank zero and one up either zero or a one-dimensional free module Stably free modules of rank two are considerably more complicated In fact, we saw at the beginning of this lecture that we could have a stably free module of rank two that wasn't free Okay, next lecture. I'll be saying a little bit more about stably free modules and in particular Introducing the island berg McLean swindle in order to study them a little bit more


mentioned that I do have a second YouTube channel where I post all my music. I've also posted a few videos that demonstrate me creating music. I'm not really a musician so the way I go about making music may seem a little weird but I thought that I just show the process so it's they're not really tutorials they're just me creating some music using free and open-source software and it's I'm not talking it's just watching me create a song in like 15 to 20 minutes so I have a few of those up check out this playlist right here I thank you for watching and as always I hope that you have a great day please visit my site filmsbychrist.com that's Chris the K there should be a link in the description


Good morning everybody. Today we're going up to Wrexham overnight and I'd like to bring you right along with me. It was a long trip but I'm in Wrexham. We're going to split again. I have split hair again. Only my hair is a lot longer now. I'm so happy with how my hair is turned out. I have pink in my hair again. I'm just going to get into bed and chill for a bit. I'm going to do some other things. A video that I filmed. Now we've got here, we've got four jobs team. lithium, have a parallel, plan as a plan. I'm tripling. That's a gesture. Good morning guys. I was actually just woke up. I don't even know what time it is. It's 6.30am. My camera's done. I'm at Wrexham Station waiting for a train at the Stuart 1151. It's calling 1124. So what's the sum of half an hour? I love my hair. That was my trip to Wrexham. Thanks for watching. I'll see you guys in the next video. Peace.


Personal things that were said against our team, our guys. Yeah, we were a little ticked off about how we've been treated, how we've been looked at over the past couple of weeks. And we really just stuck together through that process and believed in each other and wanted to come out and play our game, play how we believe in each other and knew what we could do. We did that. Very few people thought this could happen tonight. As the Titans, after 16 days off, get it done again. That bliss lounge right there, those folks are happy. We're all happy. Welcome one and all to the Titans Blitz presented by Farm Bureau Health Plans.  Good to see you, sir. Great to see you. What a night. What a night. What a win. What a win. Oh my god, everybody is on cloud nine today. Blitz lounge hanging out with us. They're excited. Of course, everybody is talking about this stiff arm, the stiff arm, the play that actually didn't even count but doesn't matter. Let's see it again. Here comes Henry to the left with a stiff arm throws a man down and goes out about at the corner.  Oh my. Oh, okay. Josh Darman, that's Thanksgiving dinner right there for you, early. Oh my, oh my. So yeah, obviously we're still talking about it. Look at that.  Keith, I gotta ask you.  Look at our squad. Yeah, look at all the defense. The linebacker's getting up off the field. Look, look, look. At Josh. At Josh himself.  How do you react to something like that? That never happened to you? No, definitely not.  Yeah, look, you have to go on to the next play and somewhere within that game, if I'm Josh Norman, I'm looking to get some get back, but 42-16, there was no get back. There was no bunch of means. He's the butt of the jokes. A lot, we'll talk about that a little later. Actually, a King Henry himself had a few words about that stiff arm. Derek, talk about, I know the play I call back by a penalty, but talk about what happened on the stiff arm play because it seems to be a big hit on social media for sure. I've been doing too many curls. So I got to lay out the arms. He's got to lay off the arms. I love it, I love it. What a gift that was. All right, we'll talk about that more in the show.  So right now let's kick off this show and do what we do. It's time now for four downs with Eddie, but right now we've got Keith Bullock here. So it's four downs with Keith. Game, man, what a game. I guess first down, I got to give it to AJ Brown, coming off the injury the knee bruise that he had, he had a heck of a night. Yeah, look, he picked up from where, picked up from where he left off last year. You know, he showed everybody what he could do in his, as a rookie. And now this year being limited, he wanted to get out there on this big stage and did pretty much show who he is. And look, picking up from last year is a prime time target here for the Titans. No kidding. I mean, we were, we didn't know going into the game if he would be available, given his condition, everything. And of course with COVID, we were, we were very limited receiver wise, but man, he showed up and showed out certainly. So hopefully that's, this is a trend that keeps going all season, but he is a, he is a beast of a receiver. I mean, from a defensive position, is that how you say it? He's just a big, big guy, right? Yeah, and he plays a position with confidence. You know, he goes over the middle, he'll catch the ball anywhere he understands where he's supposed to be in the offense. That's how you see Tannehill able to find him so easily, so wide open. But of course now, you know, they're going to go with the double teams and so on and so forth. But I know he's the type of player that look, he'll catch two double teams, triple teams. They'll find the way to get him the ball. Yeah. Well, another guy that had a big night. You can't do the show without talking about Malcolm Butler. Malcolm Butler had a huge night. If you ask me, if you, because it's really hard to pin who was the biggest playmaker, but a lot of our offensive success came from his interceptions, running it back. I mean, plus he had six tackles, one for a loss.   I was telling the virtual, the Blitz lounge that, look, when the defenders get the ball, we're trying to score by any means necessary. We don't get too many opportunities to get the ball in our hands. So anytime we do, look, Malcolm, they're probably telling them to get down. He's like, nah, I'm trying to take it to the house. I was hoping that he would get there because he made such an effort to get that far. But like you said, his interceptions and turnovers shifted the field and gave the Titans a short field and all those turnovers they got, they got one on special teams. They were able to turn into parts touchdowns. Set it up. It was huge. Moving on to third down, this guy's been having a monster year. He had a monster year last year. John, who Smith continues to shine, especially in the red zone, had a couple of touchdowns.  He's fun to watch play. Yeah, he's great to watch play. I love the way that Arthur Smith gets him the ball with tight end screens, throws him, routes down the field in the red zone. He's a big threat. He's bodying the corners. They try and put a nickel back on him. You know, that's a mismatch. Next they might put a linebacker on him. Then that's a mismatch as well. Five touchdowns in such a short stint so far. I think that those years that he spent under and behind Delaney Walker has definitely paid off. He's ready to ascend to be obviously showing that he is the guy for the Titans at the tight end position. Yeah, monster game, incredible player. Also plays a lot of humility. I mean, he's not a big showboat guy. Now I mean, look, he has fun out there like all the other guys, but he's one of those guys who's just taking his lunch pail, he's going to work, and look, throw me the ball. I'm trying to put the rock in the end zone. Right, right. Is that what you did? Yeah, I like to have fun too. I might have talked a little bit more than John knew. Little bit, little bit, maybe, maybe. All right, well, and moving on though, you know, this whole team is really contributing a lot of ways. Henry didn't have a lot of yardage, but our rushing stat line 139 on the ground to a rushing defense that was top eight in the league going into this game. Yeah, I mean, look, Ryan Tannehill had a touchdown. Derek Henry, you saw him powering for two touchdowns, so he gave up three touchdowns.  And as a defensive game plan, we're trying to hold the offense to a under 100 yards total. So usually offense is numbers 125 yards plus, collectively, and it's a bonus when your feature back runs over 100 for himself. But they did what they needed to do to win the game. You take the hat off to the O-line. Not many pressures. Ryan Tannehill was very comfortable in that pocket last night, so they got the job done offensively, defensively, and special teams. From your perspective as a linebacker, how difficult is it to like say, you're taking on a Derek Henry all night and then a Darrington Evans comes in and switches gears with that speed. And you may know, hey, there's a guy that's faster. But in the course of a game, is it a big switch? Is that difficult to defend? Yeah, it could definitely be a real big switch up because you have one back like Derek Henry. He's gonna lean and press the hole where you have a quick back. He's gonna hit and make a quick cut and then he can hit his head on the goal post. And Derek Henry, his plays take longer to develop. He's looking to hit you with that stiff arm if you get up on him or just use his size to run past you or run over you. But when you bring those quick backs in to change the pace, it definitely throws a defensive off, especially later in the game and on shorter series. Yeah, well, it's fun to watch Jeremy McNichols also putting in some good yardage there. So definitely getting it done on the ground. What a great game all around. I love that. I know the Blitz Lounge liked it, right? You guys were digging that game. Yes! Gotta keep this momentum going. Hey, you know 15 minutes can save you 15% or more on your car insurance with that. We'll go to break with our guy.  We'll be right back. Tana Hill, dropping under pressure, rolling to his right. He might run this in. Five, Tana Hill. Keep this game moving on. You see what you're made of when you go through something tough. Steady rainfall. And yeah, it's been a tough year. But Tennesseans are built for this. Passed down through generations. We like it that way. Football is back, baby. Tennessee Tough. Tennessee Tough indeed. I love that. Welcome back to the Titan's Blitz presented by Farm Bureau of Health. Plans, Lance hanging out with Keith. It's half time here on the show. So we'll take a break from football in time for a second. It's time now to do a little Titan's Challenge. With that, we will bring in the Romero family. We've got Carrie there. Kasin on the left. Trevon, hi guys. What's up, yeah? What's going on? Are you excited from still watching the game last night? You know what? That's the perfect word. That was a good one to watch. Yes. For a Tuesday night, for sure. Especially, yeah. Maybe Malcolm Butler's Mr. Tuesday night. We can give him that. Can we do that? We can give him that. We can give him Tuesday. All right, let's get to this game. Here's how it works, guys. I'm going to give you a category. And you have 20 seconds to name as many things in this category as you can. We'll total up your score. And then one of our Titans has actually already played this game, so you're going to go to them.  OK, guys, we're putting 20 seconds on the clock. Your category to name as many of these things as you can is video games. Ready? Go. It's like Mrs. Pac-Man. That is it. That works. I think, OK, time is up. You got 12. I think, collectively, maybe you had 20. But our judges counted 12. We will go with that. I figured somebody on this couch play video games. Yeah, for sure. Yeah, I think great. All right, you did pretty good. You did pretty good. Going up against Kenny Vaccaro in this week's Titans Challenge presented by the Tennesseans. So right now, fingers crossed, guys. Let's see how you did. Call of Duty, Destiny, Sonic, Donkey Kong, Mortal Kombat, Ghost of Shinami, Fortnite, Grand Theft Auto, Zelda, Mario. They're going, not standing off hot. I know. He was hot. He was hot. You did it. Look at that. You excited? Awesome. That is awesome. Congratulations to the Romero family. Kase and Trevon, I think you did all the hard work. We're going to take another little break right now. When we come back, keys to victory to beating the Texans here in our house this Sunday. We've got to keep this party going. Stick around. Titan Glitz will be right back. That's good. And welcome back to the Titan Glitz presented by Farm Bureau Health Plans. Two-minute warning here on the show. Let's talk about this game coming up and keep this winning streak going. Stay undefeated. Texans coming up. Divisional game? Big game. Big game. Big game. I don't care their record. I don't care if they don't have a real head coach. Doesn't matter. Romeo Crenel knows what he's doing. So let's talk about this keys to victory. First up, they still have a dangerous quarterback, Watson. Yeah. He's a problem. Yeah. He's one of the young studs in this league. You know, they got their first win. So each win builds confidence. So let's not let them get any more confidence. I think the Titans need to jump up. They're early like they did last game with Buffalo. Yeah. And having, you know, with Bill O'Brien getting fired, Romeo Crenel's filling in. Is there sort of a team camaraderie thing that happens? The guys pulling together saying, this is for us. Yeah. Definitely. It could have been one of those situations where the communication between the head coach and the players weren't there. And then Romeo Crenel, someone who's been in this league for over 30 years, that maybe that communication between the team and the assistant coach was better. And he's been able to get to his team like O'Brien wasn't able to. Right. Right. Exactly. Well, moving on to the second key here, a guy that, you know, I read a lot into this. What, look, this guy is, he runs 110% all the time, just 90 miles an hour. Got to keep an eye on a guy like that. He's intense. Yeah, absolutely. I think that, you know, this O-line is seasoned and vet enough that they know how to take care of JJ Watt. This is not their first rodeo playing against him in the Texans. And not for nothing, I would love to see Mr. Davion Clowney have a breakout game against Houston to really neutralize any JJ Watt talk. Let's have our number 99 have a big game of his own. That's how I kind of see it. I like that. See, it was our number 17 was better than their number 17 last night. So I like our 99 over their 99. Let's do it. I like the way the man thinks here with the numbers. All right, well, and moving on to the third key to victory. Look, Dondry Hopkins trade, everyone obviously says it's the worst thing in the offseason. But they still have good receivers. Cooks is showing up now fuller as a stellar receiver. So we need more good secondary play.  Yeah, absolutely. It's another challenge. Every weekend, there's a challenge in the NFL.  And for some reason, with this coaching shift, everything seems to be clicking after just one game. But our secondary is getting healthier. They're getting more confidence, playing as big as they played. Jonathan Joseph played big game last night. He didn't make the plays, the interception plays. But number 33 was all over the field. He's going against his former team. So I like these guys to step up and make some big plays on Sunday against the Texans, for sure. How difficult, again, I love your perspective from how you played the game. A guy like Watson scrambling, extending the play. How hard is that? It's tough, man, especially when he's always looking downfield. It's different when you play a guy like Michael Vick. He's going to extend the play. But he's going to take off and make plays down the field with his legs. As Yandre Watson, these new age quarterbacks, they're definitely scrambling. But at the same time, they're looking to make plays with their arm. The last resort is to run, because look, they don't want to take those hits. They're smart enough to know that these dudes are really up here hitting. I'd rather make the play downfield, hit my big play wide receiver, and get those stat yards up. Yeah, it's a lot of guys to keep an eye on. It's going to be a good matchup, divisional matchup. Can't wait to get to it, because I love the way we're playing. All right, I just take one more break right now. But let's lounge, limber up. We've got a little challenge for you on the other side. So stick around, Titan's Blitz. We'll be right back. There they are. Let's lounge. Still excited. Welcome back to the Titan's Blitz, presented by Farm Bureau Health Plans. Hanging out with Keith Bullock here. It's an overtime here on the show. And we started this show talking about it. It's all anybody's talked about today. All over the NFL world. Josh Norman's stiff arm from Derek Henry. But this is the beauty of the internet these days. I mean, can you imagine when you played, if Twitter was around?  You're going to get got. Everybody gets got, but this is got. He got got. Let's take a look at it. Check out what was all over Twitter. These are the memes. Oh, man. Classic. So this Snoopy, Fresh Prince, gets right off the top row. Off the top rope, the wrestling thing that's appropriate for Buffalo fans. What else we got? Nice. Hi, Joe. Oh, Jazzy Jeff getting thrown out the house. Yeah, that's the one. That's probably my favorite one. Very nice. All right. So we've been having some fun with this Blitz lounge. I'm looking at you. Here's what I want right now. Give me your best Josh Norman impression. Get in shape. Limber up. Get some help. If we've got two or three people there. Come on, give it to me. Who's got the best? I want the winner. Donna's limbering up. There we go. Scott got his son up in there. There we go. Scott, yes. Nice, Erica. Pond water's falling over. I see you, John, I see you. Good job, Erica. Come on, you got to get into this. This was, this was, there we go. Right? Am I doing it? Yeah, you got it. Yeah, I'm doing it. There we go. There we go. And that's much less painful. But it was moving. Downfield. Thank you, Blitz lounge. I just wanted to get you moving. NFL's all about getting people outside and exercising. It's the best I could do. No, it was. And look, it was a play that didn't even count, offsetting penalties. But it's the stuff that we need in this game. Yeah, I mean, the best part, because we had the extended version, was when you saw the linebackers all get up off the bench and come and holler at Josh Norman. So you asked that. Yeah, that's got to be embarrassing. Yeah, his teammate is going to look, like you say, it's a game and things happen in the game. But his team and teammates are going to have a good time with that one, because everybody's going to be watching it on the film. Let's hope we can ride it in the next week. I can't wait for this game. At Deeson Stadium against the Texans. Another divisional game. Got to take them down. Keep this thing going. I love this season. Love this team. Love this guy. Thank you, Deeson, for being here. Thank you, Blitz Lounge. We will see you next week. Sign up. I know. I know, I know, I know.


Hi, welcome to Seymour's World commentary on Think Tech Hawaii. I welcome your comments by email, text or phone. Today our topic is how to move a mountain. I don't know when you will be watching this episode, but what an unbelievable week we have had. A terrible mass shooting in Las Vegas, hurricane damage beyond compare, disaster after disaster. And on a personal note, I had a medical scare just as I am coping with cancer. And on top of that, I have to be in China this week. Okay, we all have problems. We all have so much to do. How are we going to get it all done? How are we going to cope? There's a very famous saying by Confucius, the man who moves a mountain begins by carrying away small stones. I often wonder if I have what it takes to finish what I had started. I'm sure you have heard the expression, making mountains out of molehills. Well, let's see if we can make sense of moving mountains. Whether it's your body or your mind that is forced to ask the question, can I do it? Let's try to move that mountain. How did we get here? The road to this mountain of reflection is long and arduous. All we are doing is living our life and face the pressures of doing the best we can, right? In life, we all tackle mountains that test both our mental and physical strength. To do that and to do it well, we have to move a lot of small stones, endure pain, jump over barriers, break ceilings, work hard for hours and deal with discouragement. The key is to clear your head and process your situation. We have to weigh the pros and cons and dig deep for some answers. You have to come to a place where you know what to do. It really becomes an epiphany moment. Quitting it is not an option, right? Remember one small stone at a time. You have to be present where you are, not get ahead of yourself and start the journey. There are benefits to carrying away small stones. When I was diagnosed with cancer, that mountain seemed impossible to climb. When you decide to move a mountain by carrying away one small stone at a time, the impact to your life is significant. I experienced a quarry full of benefits once I realized I could move my mountain if I just broke it down into smaller pieces. Here are my smaller stones. Number one, lower the intensity of the problem and make it more bearable. You can reduce the stress and make the problem more manageable. Number two, increase your capacity to see what's going on around you. When you try to remove your problems all at once, they swallow up your attention and keep you from seeing the beauty around you. While carrying away one small stone at a time, you can look around and celebrate your blessings. Hear the birds sing and take in the beauty of your life. Number three, become a person others are glad to be with. Taking on too much all at once makes you miserable, discouraged and no fun to be with. People who know how to carry small stones one at a time are easy to be with. They're able to laugh and listen and be a friend. Number four, live in the present. Focusing on small achievable milestones lends itself to living in the here and now. After all, the present is all we really have. The past is gone and the future has not yet come. Living in the present opens the door to gratitude. And number five, finally, open that door to gratitude. When I chose to carry small stones and take one step at a time, I started to notice the things I was grateful for. I was more grateful for my wife Sue and my children, Aaron and Alana, all of my family and my friends. We've been through tough times together and now we are closer than ever. It is crucial to break down the mountain into small pieces. A wonderful quote from my football days is, pain is inevitable, but misery is optional. Carrying one small stone at a time kept me from being miserable. I need to say that there will be times when you have to cut your losses and realize that life must go on. The way you break down your mountain into smaller pieces is to shorten the distance you focus on. Sometimes one day at a time is too much. Think about taking one hour at a time. When one hour is too much, take it one minute at a time. When that was too much, take it one second at a time. Just think. If you just stare at the mountain instead of grabbing one small stone at a time and moving it, you will miss the satisfaction of climbing that mountain. What mountain in your life do you need to move by carrying small stones? Thank you for watching Seymour's World Commentary on ThinkDec Hawaii. I welcome your comments at any time. Aloha and have a wonderful day.


YouTube team keep it clean. What's going on? It's engraving here within the video and in this video We got another episode of NFL questions from subscribers. Let me turn on this light and see if it makes a difference We'll go with that natural light. Anyway We got another episode of NFL questions from subscribers and in this episode the question comes from my guy Your darkest fear and he is a long-time subscriber He actually asks another question too, but I might save that other question for another video Well, you know what actually I do both in this video. Well, how about that? So the question in this video The first question. Well, yeah, it's a two-part question, but it's about two different teams One being the Beals and one being the Ravens the question about the Beals My guy your darkest fear said he hit me up on Instagram and eggs Do you think the tie rod Taylor Benching? Do you think that coach McDermott actually saw something in practice? From Nathan Peterman Do you think he actually saw something in practice from him in order to bench tie rod and the other question was What do you what do I think about the comments that Dennis Pitter made on? on the Ravens offense Cuz a couple of weeks ago Dennis Pitter said that What did he say Dennis Pitter said that the offense they only give Joe Flacco one read And he I think they said they only give him one one read and that's it They don't they're not giving him options. What's up Lola? What's going on Charles? What's up 2k Dwight? What's up GT? Oh, I gotta look up that steal if they will see if he is a stealer one day. Never know Now Chris Irwin said how do you feel about you signing Revis? I still gotta look up why they signed Revis I don't know what's going on with that corner back. But anyway before we answer these two questions Let me introduce myself me. I'm engraving vids. It's my YouTube channel engraving vids And I'm a Ravens fan and even though I'm a Ravens fan on this YouTube channel We talk about each and every NFL team So if you're Ravens fan if you are Beals fan if you a fan of Dennis Pitter if you a fan of coach McDermott if you a fan of Tyra Taylor If you just a fan of football period make sure you subscribe and turn your notifications on so you never miss a video And like my guy Ryan Malla says every single video make sure you leave a like on the video And shout out to Carter because he brought over a cone and it means stop show everybody the cones. Thank you He brought over these cones because they they mean stop Where's McQueen he's on your table so shout out to Carter appreciate that so And if you want to be a part of NFL questions from subscribers, don't be afraid to hit me up on Twitter Instagram or snapchat with your question So the question for this video again Do I think that he asked me do I think if Coach McDermott saw something special? From Nathan Peterson in practice. I mean Nathan Peter men in practice in order to bench Tyra Taylor And start him and start Peter made over Tyra Taylor Answer to that is no I Think that he felt like his team Needed sort of a jump. They needed some sort of a spark They needed some sort of an injection of life. I feel like he I feel like he feels this team Is could be a contender Because they did beat the Falcons they did beat the Broncos I feel like he feels like they were contender But over the recent weeks their offense hadn't been explosive as it as he wanted it to be and they really hadn't been taken off So I feel like he just wanted to try to Change things up switch it up to do something different and just hope Hope that doing something different would create new life in this team Another reason that he could have benched Tyrod would be that would be that same exact reason But just on from Tyra Taylor's in he could have he could have even benched them just to be like Hey, you know what just to show him that your job is not guaranteed your position is not guaranteed Your your spot on his team is not guaranteed So he could have been doing that too. So he benches Tyra Taylor and And it's what I said if I'm if the Ravens would ever bench Joe Fleco This could end up happening or it could not depend on how Joe Fleco reacted But with him benching Tyra Taylor, it could be like it could be a couple of things he could want to give him a wake-up call and make him come back even Just hungrier than ever and just really want to just Really just want to kill it just to show that he deserved this starting Bills job He could be doing that Or he could really just not even really care about Tyra Taylor could be Yes, it did backfire big time. It definitely backfired Huge time it backfired bad on the bills So Tyrod is is back being a starter again, and it just makes them look like even more of a joke Makes him look like even more of a joke But I hope that they continue on this downward spiral. So the Ravens it'll help the Ravens get into the playoffs now speaking of the Ravens Your darkest fears other question was what I think about Dennis Pitta's comments about the Ravens offense He he's again. I think he said um, I know J.B. Smoother know the exact comment or whatever I believe Dennis Pitta said that he thinks with the Ravens offense. They only give Joe Fleco one read You only give Joe Fleco one read And if that read isn't open then Fleco won't have any other options That's not his exact quotes, but I'm trying to paraphrase the best that I can in the best To the best of my knowledge. I don't remember a word for word, but it was something along those lines But I think that with Pitta. I think that he was just trying to Hear darkest fears that he laid to his own question. It's all good, man I think with with Pitta. He was just trying to defend his guy I think he was just trying to defend this guy. I feel like with Fleco He has different reasons. There's no way that you can have an offense and And and there's only one read and that's it if but if that is if that's true That would be just so bad That would be so bad that would be on the court on the coordinators They'll be on the coaches. They'll be on the coaches that that's bad That would be terrible if that's true If they really if they really have an offense that only has one read per play per pass and play then that's That'd be just disgusting So if it's true, then that's that's on coaches They got improved that but if it's not then I think that's just Pitta trying to come to his boys rescue No, him and him and Fleco go way back their best friends That's been well documented and well talked about over the years their best friends So I'm sure Dennis Pitta reads everything He sees the comments that people are putting up on Twitter Instagram everything He sees the videos of what people talk about Flacco and stuff and just how bad this offense has been He sees all that and I'm sure it bothers him because think about it if it was somebody that you were super close to and All these all these people keep talking negatively about this person that you're super close to you think it's gonna upset you of course it would of course it would and Depending on your personality you might come to the rescue of your friend You might defend your friend whoever that may be and for whatever reason if all these people are talking negatively about that person And but you feel like it's a different reason you feel like they don't know why that person is Performing as bad as they are so I think that's exactly what Dennis Pitta was doing I think he was just coming to the aid of his guy And he just wanted to defend him. So yeah, we do all we all know that Marty is a bad coordinator, but How bad is he? How bad is there there are a lot of questionable decisions the questionable play calls that we've seen over his years over his time here in Baltimore But but you got to put some someone on a player's to you got to put something on a player's to now Do we have the best of the best out there? No, we ain't got the best receivers We ain't got the best running we got the best none of that stuff We got the best none of that stuff on offense, but at the same time They have to execute it's their job to execute if if Flacco is on point every game We wouldn't even be having this conversation. I mean, it would be better if he had more help better Positioned players if he had a dominant just nasty receiver and I see my I saw Mike Wallace try to do that last week Whoa, y'all heard that? Oh, that was a rough one. Anyway, I saw Mike Wallace try to do that last week against the Packers And it was against the Packers, but he tried to take advantage of a weak team and they did that They took advantage of a weak team So Mike Wallace tried to bring a little attitude to the Ravens He tried to bring a little attitude to the Ravens and When he did that and an attitude is exactly what we need But I don't think Mike Wallace is a guy because he's not tough We need a tough receiver big tough possession receiver, but we don't have that right now So we're just gonna have to wait till next year see what Ravens do But anyway, what what he did last week, which I loved and it made him a villain. We need a villain receiver What he did when he scored his touchdown, he went and did a Lambo leap You know, the Lambo leap is legendary, man And for another an opposing team player to do that, that's disrespectful So when Mike Wallace did that it made me like him a little it made me like him a little bit more Made me like him that much more because I said, oh, you're gonna disrespect the Green Bay Packers and their Lambo leap like that Oh, I loved it. I loved it. I loved it. Yeah, he was hype But yeah, he's still not tough. He's still not tough and he probably won't be back next year Shout out to my guy JB smooth who always said that but Yeah, he I love that But we we need somebody who will bring that every single game and who will be a consistent possession receiver every single game So yeah, I mean we ain't got nobody GT Billy said one of the Ravens need to get on the phone with Steve Smith See and get some tips. We ain't got nobody who can be who can be like Steve Smith seen We ain't got nobody like that right now. It's not gonna be Michelle Perryman. He's injury prone and he just can't catch It's not Mike Wallace.  He's not a possession receiver He's like a mix of both kind of but he's not tough We don't have anybody on regard Chris Michael Campanero He couldn't be tough if he wanted to because he would get hurt just thinking about being tough Chris Moore, he's been too inconsistent to be tough and he's not it So we just do not have it. We don't have it at all Quincy I am Bidejo. I don't know how he is We just have to wait till he come if he gets promoted to the roster He said Chris Moore is too young to be tough. No, he's not too young to be tough He just not he not it we don't he said Perryman not even worth talking about Yeah, man, but we don't we don't have that tough guy, man. We need that. We don't have that right now We don't have that we lack toughness on offense. Nobody on the offense is tough Nobody off on the offense is intimidating. Nobody on the offense is scared So that contributes, but anyway, shout out to your darkest fear appreciate that question, man He said Ben Washington's a grandparent, but yeah, he is y'all need juju. Oh, man Yeah, we should have been juju on it juju and on the beat in the second round But it's all good still is made a better draft pick than we did and their draft pick has obviously had much more of an impact Then our first round wide receiver did in the past three years That's tough. That is tough. Anyway, thank you darkest fear for the question appreciate y'all for coming through And you can put in the comment section We all answer to these two questions, too And again, if any y'all want to be part of the NFL questions from subscribers Make sure you send me a DM on Twitter Instagram or snapchat with your questions and we'll answer it in the video Appreciate y'all make sure you subscribe to the channel if you haven't already and leave a like on a video, too Because like my guy Ryan Maddler says It's completely free. I'll see you on the next video. I'm out


Global health research is currently plagued by inequalities due to the unequal distribution of resources between high-income countries, HICs, and low- and middle-income countries, LMIX. Donor and funder support is needed to ensure greater equity in global health research, including through direct funding to LMIC researchers and direct funding to build local LMIC-based, led, and run knowledge infrastructures. This article was authored by Esmita Charani, Seya Bimbola, Madhukarpai, and others.


Welcome to Toffy TV, it is the Everton News Daily. John Dydde has been speaking about Everton's one-one draw at Wolves on Saturday. Yeri mean his 99th minute goal, the latest goal ever scored by Everton. Got the Blues a point when it looked like they were going to leave Molling U without anything. It could be an absolutely crucial point for Everton. Obviously West Ham beat Leeds United yesterday and if Leicester lose a Newcastle tonight then it mean the Blues certainly would just have to win to maintain their Premier League status and even a draw if that result tonight plays out with a Newcastle win, then a draw could be enough to keep Everton in the Premier League on Sunday. Sean Dydde was asked about his thoughts on the game, this is what he had to say. Well on balance I thought we started well, I thought we started brightly. We gave away a situation on the Ajay box they countered, we don't give a professional far away which you should do, it's just nature of the game now and they get a sort of goal out of a breakaway moment out of nothing and I thought we were playing quite well to be honest. I was quite pleased with the performance at that stage and then we lose players. So now you're kind of scratching your head, you're 1-0 down and you've lost players so then we have to adapt you know we've known you know we want to take over the imbalance in the squad and how stretched it can get and it has got stretched it as simple as that with injuries, suspension or whatever's happened but I was really pleased and mentally the players because no excuses from me, no excuses from them, this is what it is you know this is the challenge right in front of us, I told them that at halftime, I told them we'd be changing the shape and looking possibly to adapt it during the second half I said it's about the mentality they're not about shapes and taxes about the mentality so I'm really pleased for them they got their award well we all got our award but they got their award for giving a proper shift and trying and never never losing the belief that we can we can score a goal. Everton had to deal with a few different scenarios on Saturday due to injuries to Nathan Patterson and Dominic Calvert-Lewin, the manager did say it a little bit early to give an update on those two but he thought they were both hamstring injuries which you would expect both of those players to miss the game at the weekend against Bournemouth. As a result of those two players being injured and the manager's options being cut down, the Blues did after change tactics during the game a few times and moved players into different positions this was shown that you take on having to do that during the game. Yeah but look I am manager Wax Lyricol about that all managers make tactical the most know what they're doing it's the delivery of it can they deliver the tactics I was mostly pleased because whatever which is there was no question Jimmy Garner was just a great advert for that today just like yep okay what do I need to do work hard play hard try and affect the game so I'm just picking him out there was a few like that you know just that mentality to go yep okay he knows another one don't need to question marks but you put him on a pitch he delivered it right back foreign position for him he got forward when we needed him to do that came to life in the box calm feet delivers a chance for us and we score you know there's other people as well but I'm just giving you a reference point you know these they're important things to me that's important as a manager a coach to see players who accept whatever the challenge is and I'm really there you go everything switches now to the Bournemouth game on Sunday of course at Gooderson Park Evans final game of the season it is going to be it's a big week it's going to be a nervous week if Newcastle had to beat Leicester tonight then obviously it would mean ever and going to that game now and a victory over Bournemouth would be enough to keep them in the Premier League I think the Blues have lost the last four games against Bournemouth so it's not going to be an easy game we do owe them to Hamarons back in November but it gives Evan the opportunity to have the destiny in their own hands Sean Dites was asked about the Bournemouth game and the preparations leading up to that this is what the manager has to say well I've got to find out who's fit first for us I say him again and how many players we can get out there but I think the consistency of my message to the players has been very similar obviously there's been tactical tweaks I mean today's a bigger version that for obvious reasons we've stretched but generally in the build up to a game there's been tactical tweaks and personnel tweaks but the underlying message has been very very consistent about what I expect from the group and what they've got to grow to expect and I think that's been clear I think that the mentality's got stronger and stronger and stronger particular way from home you know I saw the early games and I saw you know read all the ports and everyone questioning ever and on the road and they have been for a while now but you know I think that's been an obvious shift and I'm pleased with that but it means nothing unless we go and take care of ourselves there you go Everton and MSP have reached a exclusivity agreement that is according to breaking news today Farad Masheri has been speaking to MSP since January obviously 777 partners have been interested in Everton as well as well as another couple of people looking to buy into the football club MSP have always seen to have the upper hand for most of this period of time there was reports at the back end of last week that 777 had moved forward and moved into poll position but this news of this MSP exclusivity agreement has broke today MSP Sports Capital described themselves as investors in sports teams leagues and businesses that pursue ambitions and challenging tasks their current portfolio includes european clubs such as Bromby in Denmark Augsburg in Germany and Esterel in Portugal the chairman Iranian born billionaire Jam Namjafarzi is the vice chairman of McLaren and also minority owner of NBA team the phoenix sons it is going to be interesting because like I said others have been interested in maybe taking all of Farad Masheri's shares at Everton the 94.1% that he owns this has been put out there as an investment into Everton football club for the time being this money it is thought will help Everton finish the stadium but doesn't rule out a full takeover either for MSP or others in that so it is going to be it's going to be very interesting to see how this plays out but certainly this exclusivity agreement with Farad Masheri means that they talk to nobody else other than each other while they iron out the details on this one so it looks as though MSP have bought into Everton football club and we'll have to wait and see how that develops it is thought that MSP likely want to be likely represented on Everton's board there has been a lot of rumours that there'll be a complete reset of Everton's board room this summer we'll see what happens we'll see what happens but it is big news breaking today and finally according to Fabricio Romano Everton I've triggered the extra year in Abdelai the Coray's contract talks have been going on for a few months the Coray has indicated previously that he did want to stay at Everton said the club know my position and I've obviously wanted to try and wait until the summer to see what league they're in but according to Romano they have triggered that extra year and the Coray will remain at Gooderson Park for another season that is it for the news daily give the video a thumbs up subscribe if you haven't and if you want more videos including daily live videos become a toffee tv premium and the link is in the description key walk all the way on the screen now see you later


Hello everybody, welcome to my channel. It's Iwa from Bohemian Crafting and today I'm coming to share with you idea which I shared in my previous video. It was label making and I'm gonna be using my washi tapes for making my labels, the background of my labels and it's just because I want to add this journal some more embellishments and I do believe these two washi tapes will match the journal really nicely. So what I've got here, I've got here some scraps of my decorative paper, book pages and the washi tapes and I do have here these two designs, the berries and this beautiful green, I forgot the name of that pattern, this pattern and that's what I'm gonna use for making my stickers, my labels. I can use these address labels as the label top or I can cut the pieces I need in the size I need from my scraps so that's what we're gonna do today. I would like to make a different size of my decorative labels so that's why I do have different sizes of papers. So first I'm gonna make again the labels same way like I did in my previous video with the journals from One Sheep and I'm gonna be using this address sticker on the top so I'm gonna add this berry washi tape on one side of my book page and I would like to see part of this washi tape as an embellishment on the board around the board of my label. So this is size which I'm gonna be using for the inside of my label so I'm gonna measure here with the text, that text it's kind of like navigator for me if I will place it this way I will see once I will cut the border around I will see this pattern so I can place another strip of my washi tape on the opposite side of my book page that's actually will work I think the best way so now I am making top of my label and I can use this one on the bottom so I'm gonna grab back my label sticker and I know I should place this second part somewhere here and as it is end of my washi tape here I'm gonna be using glue to glue it down so one more time to place it on the right spot if I will place this one somewhere here this should go somewhere here so I'm gonna place my washi tape right there and now I can take my address label I'm gonna add there a little bit of glue even this is sticky but to make sure it will hold nicely and I'm gonna place this one on the top I'm gonna grab another one and here I do have same washi tape like this one so I can use part of this washi tape for my second label and if I will place it here my second layer should be somewhere here now I can place my label over it so this way I'm gonna create labels for all that journal kind of make them at the same time a few of them and this will go here should place my washi tape somewhere here I think I'm gonna take one of my decorative papers and create the label using this paper this one it's actually good idea here so for this last part I'm gonna grab one of my decorative papers and cut the piece I need to cover this last end I think from here till somewhere between those two I'm gonna cut the corners so this will be here and now I can take my scissors I can cut off this extra and save it for decorating and these I can cut between and then around the sticker and some similar with some similar frame around so I will have base for my stickers and that will be collection for my book for my journal so I do have those basics I can save these small parts if I will want to use them somewhere to decorate maybe some small embellishments so I can save all these small parts look like this one will be in the cute frame so I think I'm gonna save a few of them and create even more clusters or embellishments and these small labels I can use some stamps so I can stamp some nice stamps on my stickers I've got here these two collections from Stampers Anonymous team the team holds stamps one is correspondence and other one is filled notes and I do have here this beautiful collection I found last year on Etsy and the name of the shop is Espresso Press Design and these are called vintage labels and they are a really beautiful variety of vintage labels I showed that last year in some video and I really like them so I'm gonna be using these small designs to decorate my labels I think look that beauty and you do have few colors you can use so I'm gonna be using these and decorate my little stickers or little labels and of course in the end I'm gonna be using distress ink this time I'm gonna be using vintage photo from ranger so first I think I'm gonna choose what label I'm gonna use for decorating these I think because I already started to cut here I'm gonna kind of continue use this one somewhere here so I'm gonna stamp in there I think I'm gonna pull out also this collection it's postcards I love those those signs so maybe that will be good to use okay so first this and I'm gonna use black ink and stamp there like this now I can try to see where I will I can place it right here I'm gonna use my distress ink and distress all this from field notes I'm gonna choose some number I think this small one right here and this little label so this I'm gonna glue right here and maybe some number from my stickers on that opposite side or something this one there and I can fold it over yeah why not and I'm gonna distress it one more time with these layers so I do have first label done and I really like that around border because now I can match it I'm gonna tidy up my table so now I can make some beautiful spread on my papers it be somewhere here I can use this label including with this beautiful washi tape and kind of match them all together so if I will place that washi tape right here then I can take my label and kind of like continue with same pattern on that label and create maybe pockets with this right here and it will be matching together so to making washi tapes using oh washi tapes labels using washi tape it's a wonderful idea how you can put together design on your journal pages so I'm gonna make a few more more now I'm gonna be using my offcuts so this is quite nice size so I'm gonna be using this one I'm gonna cut it to the straight strip so I will know the size so this strip I would like to use for creating another labels I think I will cut it on a few pieces probably two two lines will be one label again two lines will be one label and I'm gonna take the book page as my background again I'm gonna be using this washi tape and glue that washi tape on the side of my book page and here I'm gonna draw how far I will go with my paper and so probably somewhere here and if I will count my washi tape so somewhere here I should cut that paper off so I will have nice strip of book page so now I know where I'm supposed to put the other strip of my washi tape so I do have sides of my future labels and now I'm gonna put one strip of washi tape right here cut my scrap in the size I want for my label and I would like to have those cut those cut corners so I'm gonna be using my corner punch to punch the corners so I do have this size of my label if I will place it here I know here on this text I should have another layer of my washi tape so I'm gonna cover that text with my washi tape now I can grab the glue put the glue on my piece of paper stick it right here and I'm gonna cut another strip of this scrap paper again I'm gonna cut the corners and again I'm gonna place my label with the nice gap between these two because I'm gonna be cutting between them so I need border with this washi tape around this label and border with this washi tape around this label as well so I'm gonna keep their nice gap so here this text should be cover with the washi tape so I'm gonna place there that washi tape so the text on that book page it's kind of helping me where I supposed to put another strip of my washi tape so then all my labels will get enough of that washi tape all around now I'm gonna place this one here and I'm gonna continue till the end or till I am scrapping this scrap I glued all my scraps on that strip of book page and now I'm gonna grab the ruler and knife I was kind of able to put this straight ish one under another one so I think I'm able to cut the sides down a little bit using a ruler and knife I can save this one for making another decorations using this washi tape same I'm gonna do on that opposite side kind of managed to have same gap ish I think this way and again I can save this one to make another decorations and now oops now that rest I can cut with my scissors just between manage to cut the opposite side and the corners I can keep this way as they are here or I can use the same corner cutter corner punch and cut the corners using this corner punch so they will be matching those first corners on my white label I mean on that base and that way I have created a collection of matching labels and I'm gonna be using again stumps maybe some stickers and that is how your stickers can look like you can create create a really beautiful collection of stickers for your journal so then you have easy way how to how to match them together with your washi tapes I hope you did enjoy this tutorial I hope I gave you some good idea how you can make your own labels thank you so so much for visiting me today thank you so much for spending your time with me have a wonderful day take care about yourself and I will see you soon bye