Hello My name is Nikkeler. I am with Dell IT lives in South Texas, which explains the twang and South, you know south Texas. Yes take a left swim a few hours on any home And I am part of Dell IT Which means that I am a consumer a user of all the stuff that is being talked about today and Like everybody in IT I had to basically come in with a baseball bat to try to convince people that this private closing might be a good idea and So I will talk to you about three things first one is why IT today need to innovate Okay to What are the what is the right way to innovate and finally what we are doing in our lab? If you saw the del quinoa yesterday, there was a mention of an innovation lab This is what I have built with my team and so I will tell you a bit more about that so First thing why I teen is to innovate Okay, you know a big thing that we want to make sure is make sure that Dell IT can start using new technologies so that we can hopefully get out of the 1980s Okay, and when doing that make sure that it makes sense from a financial point of view So our CIO Andy give us some very very clear directions. Okay, basically go ahead disrupt Make sure that there is a lot of value for users. Okay, incubate on steroids and It's not this is it because as you know IT is all about stability Establishing a comfort zone. Okay, if it works do not touch it period And then if you try to hire Someone who's just getting out of college. They don't know what the computer is the only device that they know is a cell phone Okay, very far from the nice green screen that you have been using to manage your customer. That is working perfectly fine So there's a lot of conflict right there Technology is evolving so fast and user experience of everything so fast Internet access people can do stuff at home watch movies Turn off their lights remotely from the internet inside their house Now control the temperature inside their house remotely. That's a lot better than what a lot of IT Can offer them so how can we make that better? Okay? That is a biggest conflict the biggest challenge when fighting against the fact that any CIO needs to provide a stable environment and The key a key metric is really to improve the user experience Because at the end of the day IT is being used by people. Okay, usually You know if you have a large at the organization in a large company Nobody likes IT Okay, because IT is the people that are going to take six weeks to give you a laptop and They're going to give you the wrong one Okay, then if you dare break it You're going to have to talk with someone who has no clue what application you're trying to run Okay, we have all and been there. Okay, so very very bad user experience We need to change that that is our prime directive and if we start to change that then we'll be able to innovate in the right direction Because it is also so easy to try to do new things that are completely wrong that makes things even worse Okay, so some of the things that our team We are both a team of 30 people Part of a 90 department that has roughly 5,000 people. Okay a few things that we have done Is that we have established a standout for device refresh What does that mean is that depending of your job? We have tried to match the right device to the right job type for example a sales guy Doesn't need a graphic workstation to go and see customers a Tablet might be a great thing for a sales guy Okay, and we need to make sure that the engineer get the right source power No, I have some engineers in our team. They get one of those laptop that has 32 gig of RAM They can run a few VMs on top of it Okay, and now that is a standard that is available for some engineers Okay, make it a lot easier We also So that you know Samsung it seems is coming out with a new phone every three weeks or something like that. Okay People want to see those new phones Okay, so not only we make sure that we have a program to refresh our corporate smartphone But also we establish an app portal So that if someone wants to file an expense report for example Whatever device they're using a laptop a cell phone a web browser They can have the same experience it is becoming more seamless for users to do their job that make it easier They don't have now, you know earlier. I mentioned a sales guy that has a tablet He doesn't have to go on to go to a web browser on a PC In order to file expense report you can do it on on his cell phone on his tablet And lastly what was mentioned the IT innovation lab as we have to create a bunch of stuff We built a business case to basically get a bunch of gear Put it in a nice lab and start to run a bunch of stuff completely isolated from the rest of the world Okay, so How are you able to do that? Okay? How can we innovate and in a very short period of time with a very small stuff? Come up with all this cool stuff the first step that you need to get executive support Okay, we got that from our CIO our CEO told us go and do stuff. That is the first step But that's not enough. There are three things that absolutely you need to do Very very important when you innovate you need to innovate on the right stuff Okay, the right stuff is never the latest on greatest technology It might be but very often it is not what is the right stuff if the stuff that matters to user community Okay, and you need to find ways to get that from your users. Okay, so You can interview people. Okay, you can ask them a what do you think is good? What do you think will be good? If you are the same stuff 20 times that might be a good idea. Okay tip Do that in a very anonymous fashion Tell them that you're going to collect their results their things. Okay, the idea is but you're not going to give their names to anybody We have a program, you know that we started like this at Dell and suddenly we're starting to have people complaining a lot About stuff that slow them down in their day-to-day work That's how we found some of the best ideas. Okay, if you interview 10 different groups And you are six time people complaining about the same exact things Then that's perhaps what working on it. And then you can start talking about it to other people crowds or saying Okay, start to basically have contests. Hey, what do you think will be a great idea to improve sales productivity? I'll see what people come up with and let people vote to what the bet the best idea is Day-to-day interaction Look at ticket cues. Okay, the good old ticket cues when people come to call to complain about something that is broken If you see the same thing brain being broken 500 times do something about it This is how not only you can Generate ID But also present an ID to leadership to say hey, you know, see, you know what? This is a problem that we see a lot or an ID a lot of people asked for that Let's make a project about it. Okay the next thing as soon as you do that your leadership is going to ask to tell you Good idea, but I'm not going to get you a penny to make it do it. Okay Show me why we should do it Then you need to start the only language that your leadership will understand business case Okay What we do is that we start with a four step process When initially inception we basically say, you know what idea of the day They should serve us some money or have some benefits that was investing a bit We could play a little bit with it Then we do a proof of concept where we really bring the technology into the lab We try it out for a few months perhaps even more to really prove that it is that it works. We can size it Okay Then we start meeting with production IT To tell them a look at this brand-new thing Let's work together on making it fit. What does that mean? We need to do training for operators if it is a new technology We need to figure out, you know, what is the right gear that we want to use to deploy it in a data center And then finally We can transition into production and that's something that is very very important Okay, a mistake that a lot of people who innovate do Is that once they create something it becomes their baby and they want to keep it on a get Okay, let the baby grow get rid of it go to the next one very very important right now I spend a lot of my time working on open stack Okay, my plan is in December to get done with this phase of open stack because I will work on something else and Production IT will take over the stuff that we have done Very very important learn how to let go and build a business case for the whole for the whole step Okay, to do that that require a special type of people. Okay, because I'm talking about business case Okay, I'm talking about being able to sell leadership on your ID So you people, you know one person business Who are not afraid to speak in front of an exact who can articulate even in French Okay, we can very quickly make strategic theory decision. Is it a good ID? Is it a bad ID based off a whole high-level strategy? Okay, and also are very passionate about technology Because when you talk to people when you present them a new technology You need to show, you know if you really believe into it in it That will show that will help you gain people to use your technology So that is the third part. Okay, you have to have the right type of people You need to make sure that you've got a good business case through the whole process if you don't have a business case anything that you're going to do is going to be shut down very fast and You need to make sure that you innovate on the right stuff and innovate on the right stuff need to really you really need to Listen to what is the stuff that people want and what is the stuff that people do not like? Okay, and so one of the things that we have done is We started to do a private cloud Okay Private cloud means that I'm going to have to spend a lot of money. Okay. I'm going to buy servers I'm going to buy switches. I'm going to buy software. Okay to build a lab I'm going to spend a few hundred grants right there. That's coming very painful for the business case. Okay If you deal with open stack, there's something that is absolutely beautiful Which is object store? Okay, if you have to build a business case on open stack here's how to do it. Okay Talk with your storage team Ask them what they do today to archive data What technology they use to archive the stuff that they want to keep for five years They're going to start to talk to you about putting it on a block array Enterprise grade block array. Okay, then how they take a snapshot Then how they take the snapshot and they put it on tape Then now they use they have a beautiful contract with Aaron Mountain to Sheep the tape out and keep it in a role for five years And then now if they need to take back it only going to cost two grand per tape to bring it back in a Superfast and then they might in fact need to buy a new block array in order to Do some stuff just to make sure that everything works very quickly. You say, you know what I could replace all that by a few servers okay run some software that is affordable Okay, put a few ops guy on top of it and Be done and you're going to very easily show that using something like a swift or a Seff or something like this you can very easily show a 60 to 70 percent Money-saving. Okay, right there Leadership will listen to that and they will tell you hey, you know what? Is there some other stuff in this open-stack magic thing that's ever so much money on then you can tell them about the compute and When we talk about the compute you can start to find some example the thing that we did that at Dell, you know within the lighty Okay, that within the lighty we wanted to demonstrate that the software Define for sure could be efficient secure and give a great user experience Example I am a software dev guy okay, I Need some type of virtual machine to get something done Okay, traditional IT. I talk with the network guide to get an IP address I talk with the server guy to get an open system and operating system stood up on a VM I talk with the storage guy to get a bit of storage One week like a one week later. I have my virtual machine, which is perfect Except for little facts. I know understand my software a bit better and my virtual machine is the wrong size Good news you can change that and one week later. You get the right one. Okay, this is a lot of IT department work Okay, so what we're going to bring is basically look We're going to bring you self-service Your software dev is going to be able to within a budget that we're going to pre-define Provision their own stuff when they want it Right there. There's also a business case. It's harder to measure But just the time that is going to be saved Will Hello your software devs to be more efficient Also since we are Dell okay, and I've heard that they'll do some good hardware As a partnership with some people We need to make sure as a light that we are a showcase for Dell. So only use the hardware They don't tell okay. That's what we need to do at the end of the day Okay, which give them, you know And so what we're going to do for our private cloud is that we're using Dell servers They're networking for Stan Dell storage, which is a mix of server with bunch of drive on Ecologic or compelent blocks systems and we're going to heavily leverage our red app partnership and Also very very important. Do not forget that there's some existing stuff Okay, in any IT shop today, you've got everything is running on top of VMware Okay, make sure that you really understand how The stuff runs on top of VMware What are the processes that are being used so that you can identify some workloads that are candidate to be moved So that once you have deployed your new infrastructure Based on open stack that is slightly different you can also have the right understanding to be able to start migrating your Cloud right now, you know and things like SDN that Kamash talk to a node Kamash talk about storage But the discussion around SDN is very very important Because if you start to have more flexible network be able to have the legacy worlds and the new world Talk together, and you will be able to little by at all split your application across or move them around Okay, so based on that we started to play in our lab Okay, and what we discover very fast Okay, that's good news. We could build something. Okay using earlier of the hardware In the middle of a bunch of virtuosism Open stack with Freddad. Okay, make sure that we keep in mind all those are stuff Which is VMware and everything Microsoft? Okay Then on top of that Start to layer some del software and work with the del software team to start to really leverage the del IT IP Intellectual property the way I like it the way I like to say to that if I take open stack We Freddad on can start to add some del thing on top of it That's really better always better for del too because we're using some of four, you know We're drinking our own champagne, which is very interesting. Okay and What we discovered is that was flexible. It was secure and we found three key use cases Okay Archive storage, which is good because it was the business or for business case a lot of demand for that Okay, from just backing up to compliance Legal team loves us. You mean that now I can store all the legal stuff that they have to keep and not have to save it On top of Amazon and I can save it in house because those lawyers they hate to have any data leave the building Okay, so that's great stuff. Okay the software devs. Okay talk with your software dev teams Show them that look you want to VM to just try an ID go for it Okay, they're going to love you then they're going to talk with your manager The manager are going to come to you and say hey, we want to play in your lab Want to try new stuff in your lab? Okay, that is great to help you move stuff forward And if you're in an innovation business, we use that a lot in our lab to just incubate on trying new stuff a lot of technology Okay, and so what we have done so far today. Okay is that we have demonstrated it works and Our next step is really we're going so we deployed open stack. Okay using OSP tree Not really worrying about the stability of it. Okay, we just wanted to show look here something that can work We got a lot of interest around it Okay, so now we're going to show that it can work for IT remember the only thing Other than spending no money that IT cares about is stability Okay, so we're going to deploy OSP for as soon as I come back To to beautiful Texas. Okay. We're going to deploy Havana. Okay. We're not, you know stable We're not going to play with 5,000. Okay, stay with Havana Make sure that we've got a chair for the controller so that the API is always available And then I'm going to pull a dirty trick on the rest of IT I'm going to tell them. Oh, no, it's okay. I can upgrade my controller whenever I want Change control window and of the month freeze. I don't care about that Your stuff is available 100% of the time. It is the end of maintenance windows. You need to show the new world Okay, we're going to also to be on the safe side use Nova networking rather than neutron I'm right now a bit uncomfortable with neutron. So we're going to wait a little bit for that Okay, and since we're there, we're going to use some del storage ecologic as a backhand behind cinder and One thing that we have discovered Is that the people who are interesting by archive another similar that there are some people that are that interesting by compute So we're going to fully separate the two aspects. We're going to build storage cloud for archive and we're going to build a compute cloud for the developers basically Okay, which by the way will make our life a lot easier and our past to success Okay, we are starting This is based on the knees Cloud reference architecture. We're going to start, you know working very tightly with red hat Defining resource abstraction and control, which is basically open stack What I'm going to put under open stack to make it work to have a cloud that works Okay, then I'm going to work with our IT operations to understand What are the business processes that they go through if someone is a virtual machine? Where is the money coming from? How do we check that they've got enough money who has the authorization was the right to authorize the money to be spent? How how is the showback system working? That is all basically a lot of the service orchestration What type of service catalog do we want to have to have application pre package or system pre package? We're going to build a layer of service orchestration on top of that That we are also then going to take care of the VMware integration so that we can have under the same Automation of the business processes give people access to boost the new stuff and the old stuff Okay Sorry, I don't mean to be mean by calling VMware the old stuff But the different viewers of the world. Let's put it this way. Okay, so that From the people from the developers they can really pick and choose and what we're going to see I'm ready to bet that we're going to find that people who have Application that are fairly complex that have a state full a state full backhand Fronted by a state less backhand are going to very quickly ask a Can I put my stateful stuff on the very mature technology? on top of yes, expressors and Can I put my state less tough on the top of the technology that has a very easy to manipulate API? So that I can scale it whenever I want without worries So this is also what we're going to establish and over the next few months Building that we are going to figure what we really need to monitor Okay, because it's useless to monitor everything. Okay, you just need to figure what to monitor on when to act on it For you know Paul in a previous life. I was working with some fairly large trip. Deployments.   We just replace it whenever This is this goes against a lot of the philosophy of IT is something break and into act on it No, we need to also teach people that we need to build for the fact that things are going to fail Okay, so this is all the green stuff, which is really the operation aspect and the final integration you know with active directory and You know identity measurement active directory ticket cues This is what we're going to take care at the end of it and by the way I have a secret objective which is to get rid of ticket cues for this Okay, I do not want people if they've got a problem using this private cloud platform I do not want them to have to open a ticket. Okay. Here's the concept of a ticket. I Go to a web interface. I Write my problem and we've seen 24 to 48 hours someone was no clue about What I'm doing is going to tell me that they're willing to help me if I give them more information That is the wrong concept if we provide self-service to the infrastructure Okay, so we're going to experiment with basically what a lot of companies are doing today Which is social media? knowledge base user groups Very polished IRC like channels Okay, make them all pretty so that you know People can hopefully get instant feedback instant supports Okay, that is what we believe is going to help us transform IT on bringing a private cloud within IT what we did one year ago when I had my first meeting with the infrastructure with the IT why John I tell IT one year ago when I had my first meeting with the infrastructure management team I was basically told that it was very nice of me to meet with them But it was probably the last meeting ever that I would have with them since My career was over in the lighty since I wanted to do all this fancy stuff. Okay then as of roughly one month ago the same team has Created a small team whose only job is to become the operators of Whatever I'm building right now. They're now go to the point where they're ready to accept Okay, and we are probably going to end them out our first Stabilization of a private cloud in July. Okay That matches all the Dell internal recommends Working on that with some of the people that you saw earlier Okay to make sure that we get the best of the Dell red-eye partnership and probably Two out of the year that will be in production within the Dell IT data center. So That's it for me. Okay any questions Yes, so we're talking about that with them right now. It will really depend of the comfort factor that they have Okay if They want to be very cautious We are basically going to stick with OSP for on On the on the Nova networking for a bit longer. However, there. There's a big. There's a big challenge in that Uprighting from Avana twice house would be a very fun exercise So it's why hopefully we're going to see if look, this is the new stuff It's not as nice. It's not as refined potentially, but it should be easier to upgrade in the future Okay, so that's what we're going to do and in June July. We're not yet Going to carry production workload. So it will still be okay to play around with it So they are I love neutron. I love neutron for the features. Okay, I Have banged my head against neutron Where you know layer 3? It can be very interesting to make sure that I do not have a single point of failure Okay, being IT. I want stability at all costs. I will sacrifice features In order to get stability Okay, right now I Believe that we still need a little bit I do not know if it will be you know to Juno or perhaps after to have a very stable Neutron where I am sure that there is no single point of failure because today if in an IT data center If you've got a server that has two nicks Okay, the network should always be up Period right now. I'm not comfortable building that with neutron. Any other question okay, well, thank you and what I hope to do is that all myself or someone from my team at the Paris summit will be able to come and say look We weren't even faster that what we thought we were doing. We're already in production. That will be the perfect world We can always dream. Thank you


Why do most couples lose interest in each other when they once loved each other? I have heard stories of people who are so excited in love with each other People whom you thought would die for each other if need be lose interest in the same person They were once attached to what happened and if you are the one who is affected by your partner losing interest in you You may think it is your fault and so you need to change for your partner too often. It isn't always so Relationship writer Matthew Serendran wrote when couples lose interest in each other Their marriage is also doomed to be a miserable failure. Who isn't the wrong for this still mate? The fault lies with both. Both never make any efforts to make yourself interesting to your spouse Most couples lost interest in each other because of the same reasons According to Matthew in the initial years of your marriage your interest in each other is at its peak You do everything to attract your spouse towards you You behave in a way that makes your spouse feel that you are a perfect husband or wife You're so fascinated by your spouse that everything about him or her Excites you you're always presentable before your spouse as you want to attract him or her You are very appreciative and encouraging your supportive and caring But everything changes after a few years of your married life You're no longer appreciative and encouraging you no longer support your spouse One of the worst ways to create a relationship is when you both or one of you lose interest in each other too often It may not be your fault people and times change or it may just be what you did or how you hurt your partner And they're not able to let go of it Also when people stop spending time with each other or they start to distance themselves from each other It may build this interest between them However, if your partner does not give you a reason why they're no longer interested in you You're not supposed to berate yourself for living the relationship Relationship coach and founder of maze of love Chris Armstrong tells Brussels regardless of the reason What's important is that the person left behind because their partner lost interest does not try and change themselves as a result I once told a client if parts of you drew your partner away Maybe it's time to look within but don't make sudden changes over one person losing interest So if you always find that partners leave you too often because they're no longer interested in you You may need to examine yourself to be sure you're not doing something wrong in today's video I want to share with you some reasons why people may lose interest in each other If you're a new here subscribe to this channel so you will not miss other interesting videos like this One you had lost not love You know that initial feeling you had when you first met this person It is often that gosh of emotions We feel where we are warned not to respond to it without thinking you may see someone whom you think is your soulmate But as soon as you rush into a relationship with them you find you lose that feeling too early too often When we lose interest few weeks in the relationship Love was never there in the first place what you had was lost the foundation of love was never there And so the relationship has nothing to stand on Chris Armstrong says the initial excitement and energy that their partner Brought no longer exists it can be common for people to put their best foot forward up front only to fall back to their natural self As the relationship progresses to they're afraid to commit. It is not everybody who wants to be commited Most people are actually afraid of settling down They may find themselves in a relationship that weren't properly prepared for and so they become restless in the relationship They either distance themselves or they simply do not put in any effort to make the relationship grow people who are afraid to Commit themselves may be comfortable with settling down with one person that may feel they will be tied down and wouldn't want that for themselves Folks who struggle with commitments are always looking for what's beautiful on the other side And so they never pay attention to what they have right in front of them Three your partner can get over some hurt Although forgiveness binds a relationship together when a partner hurts you repeatedly or does something without even knowing their deed Or when they did know they do not feel sorry. It may hurt you Too often it may be difficult to get over this hurt Regardless of how hard the partner tries to while the other person may have overlooked it and have moved on the person Who is hurt internalizes the hurt and those begins to create a disinterest in them first for the person then for the relationship Some hurts are often too difficult to get away from the option will be to stay away from the partner For they just changed people change Sometimes when a partner changes, they're no longer interested in what you so inspire them in that relationship They want something more and where the other partner is not willing to change that this interest begins to build Chris Armstrong says the person that loses interest has changed or has discovered some things about themselves It can be very common for two people to start dating and break up for seemingly no reason They didn't fight a lot and communication was good But perhaps someone found themselves evolving and realized that the person they have evolved into wants different things in a partner Five you've changed people change and so maybe you and your partner have changed There may have been a growth in your partner that has made them develop a different perspective as a lifestyle writer Lee Rose Emery wrote maybe you've grown and evolved into a new person one that you're happier with It just doesn't necessarily mean that your partner will be too. That's okay when they're interest wanes Don't be afraid to go find someone who's interested in the new you. They're out there Six they have other priorities now Lifestyle writer Lee Rose Emery wrote not everyone makes their relationship a priority if their job or even their hubby's Takeover then their relationship would hold less and less interest for them. Maybe it's one big passion Maybe it's just being a beat-scattered and their attention jumping around, but it's hard to go through Seven they meet someone else when your partner meets someone else whom they feel meets their needs This should build interest for them and their relationship with you You don't have to feel bad about this because at least you know the reason why they lost interest in the relationship with you How can you rekindle your interest in each other when it's gone? Relationship writer Matthew surrender and suggest demonstrate love openly and explicitly keep communicating with your spouse When you do not communicate it becomes a habit a very bad habit Make your interaction friendly and enjoyable small talk with your spouse topics like movies sports hubbies and film stars are Non-controversial and you can extend your conversation without arguing about it avoid sensitive topics like religion physical appearance of your spouse And his or her upbringing and joy being together if this video inspired you like the video We love you


Hello and welcome to the session. In this session we will discuss the logarithms and empty logarithms from tables. First of all we discuss to find the logarithms on tables. This is a form of a logarithm table which is divided into three sets of columns. Three left column that is this column is headed by a vacant square and in this column we have the numbers from 10 to 99. Now we make the columns which are headed by the numbers 0, 1, 2, 3, 7. Then the next set of columns is where the mean difference in which we have nine columns headed by the numbers 1, 2, 3, 4, 7 is we need to find log of 841.7 from the this before the decimal point. So 3 minus 1 that is 2 would be the characteristic. 2.7 would be equal to the mantissa and we will now find the mantissa from the logarithm table. To find the mantissa we will consider the number without the decimal point that is 8417 that would be look for the number. The first two digits from the left this number is we will move in the row of 84 and we will find the number under the column of 1 and in the row of 84 and that number is 9248 and the number as 9248. In digit 1 we have the digit 7 in the column of 7 in the column of mean differences and here the number is where we find the number to be 4. These two numbers that is 9248.7 is equal to 2.92 find the log of any number using the logarithm tables. The empty logs from the tables x to the base a is equal to k that log of 841.7 is equal to 2.92 the empty log of 2.92 the same as the logarithm tables that is also divided into three similar sets of columns and 0.9252 is the mantissa. To this take we will consider the mantissa 0.92 three left column and the column added by 5 we find the number to be 8414.92 the number that we get is these two numbers that is 8414 and 4 which is equal to 8418. Quiet number which is the empty log from here we will move three digits keep the decimal point here 2.9252 is equal to 841 also given number using the tables. The characteristic that is 2 bar and we will consider the mantissa part that is 0.06 four digits after 6 that is the empty log to the decimal point so we have 0.011 and 0114. 06 is equal to 0.011 the empty log of the number minus 1.3915 this is written as minus 1 minus 0.3915 is negative so we cannot find the empty log in this case as the mantissa is negative and the fractional part of the number so this is equal to minus 1 minus 1 minus 0.3915 plus 0.6085 which is equal to so this means we need to find is same as minus 1.3915 we already know how to find out the empty log for such numbers 0.0406 minus 1.3915 is same as 0.04060 we cannot the mantissa part is negative positive we need to add and subtract 1 between the integral and the fractional parts of the given number so it is the fashion hope you have understood how to find the logs and empty logs from the tables


Let's see what we have here. Oh, OK. So this, oh, that's nice. He did a great job, pretty much put everything that I do with education and hands on. I love it. It goes good. I'm going to like this. And it's got the flag colors as well. It's pretty nice. I'll see this other one. Oh, yeah, that came out pretty dope. So this is every town. It's basically a group against gun violence that try to pretty much teach people how to control their gun and keep it safe in the house or our kids or anyone else that shouldn't have them getting held of them. And on the cleat, as you can see, it has names on the cleats. Some of these people are from Tennessee. Some of them are from the California area. And my point of view, I was looking at it as some of these people don't get talked about, right? And because their name not big enough, so I felt like I would honor them and let people know that they were killed by someone with a gun or some type of gun violence. And some of them, having the killer, I haven't even been found. So I just wanted to recognize them on this cleat with every town as I partner up with them so we can try to end gun violence. My foundation is the Laney-Wart-Gives-Back Foundation pretty much. I try to do as much as I can in inner city, where we give back to at least 20,000 kids to try to impact them to having better education, better health, and also just daily life skills. So I'm happy with the cleats. These are beautiful. I think they will raise a lot of money, especially for the calls that I believe in. And I'm excited about them.


Hey guys, welcome back to our channel. My name is Andrea with food inventory adventures in food And I am here today to share a quick and easy recipe for peach dumplings Now the ingredients are a little bit different, but I promise you this recipe is delicious So you are going to need some Sprite now you don't necessarily have to use sprite, but you're you are going to need a clear soda So if you prefer to use 7-up or ginger ale or even Mountain Dew you can I just have a preference for Sprite you're also going to need some butter some sugar a little flour a peach Some nutmeg and cinnamon and crescent rolls now If you wanted to try this recipe with apples instead you absolutely can so what I'm going to do now is Melt my butter in the microwave, and I'm going to peel my peach And then I will bring you guys back to show you how this recipe comes together All right guys, so my crescent roll tube had eight crescent rolls So I cut my peach into eight slices So I've laid out some of my crescent rolls here And I'm just going to show you how to do a few of them on camera You're just going to put your peach slice down and then you're just going to roll It up easy peasy just like that and I'll do another one for you guys And then I'll do the rest of these off camera. So again take a peach slice and Howard has been sampling the peaches and he said they're very sweet and delicious And put another one down. So I'm going to do the rest of these and I will bring you back to show you next steps So I've rolled up all of my peach dumplings And I have them in an eight by eight pan that I have sprayed with some coconut oil So in my bowl, I'm going to combine the rest of the ingredients. I have some flour. I Have some cinnamon and nutmeg I've got some sugar and by the way, I'll make sure to Add the recipe in the description box so you guys can see it and then I'm going to add my melted butter And I'm going to give this a good stir That's what it looks like. It kind of looks like applesauce And I am just going to pour this all over the dumplings So the last thing I'm going to do is add my sprite now You don't want to pour the sprite directly on the dumplings. You want to pour it around All right, so I've got my sprite in the little pan here and I've got my oven preheated to 350 degrees I'm going to pop these in the oven for about 45 to 50 minutes or until they're golden brown So I just pulled these out of the oven you can see it's still bubbling right there and I baked these for about 45 46 minutes So I'm going to let these cool completely and then I will Take one out of the pan so you guys can see what it looks like I let this cool for about 15 minutes and I took out a couple of dumplings so you guys could see what it looks like on the inside So here's one that I cut open Howard and I have tried these they're really good now I will tell you that I am not a person that I don't like a doughy Dumpling or doughy pie or doughy cookies These are not doughy. I'm trying to get in close so you can see the flakiness So the croissant does cook all the way through and it is absolutely Delicious, so I hope you guys enjoyed this video if you did Please make sure to give us a thumbs up and if you haven't subscribed to our channel I certainly hope you'll do so. Thanks so much for watching and we'll see you guys next time


Russian soldiers captured German Leopard tank for the first time. During the battles for Abdiyivka, the most modern German tank, Leopard 2A6, was captured by Russian soldiers. This is the first tank that Russia was able to capture out of 18 Leopard 2 tanks imported from Germany. According to Bulgarian military media outlet, some Ukrainian resources have acknowledged the loss. The German publication build also confirmed the loss. According to build, 18 Leopard 2A6 tanks delivered by Germany to Ukraine and this is the first proven instance of a tank being captured by the Russians since the deliveries began. The Leopard 2A6 is one of the latest versions of the renowned German tank. Germany is currently developing the next two iterations, the Leopard 2A7, which has its customers mainly in the Hungarian army and the Leopard 2A8, which remains somewhat of a mystery. However, Italy has expressed a strong desire to acquire hundreds of these units. Germany also plans to include the 2A8 version in its own army. According to Russian resources, the captured Leopard 2A6 is fully operational. The tank features side hatches but the so-called cage atop the dome is notably absent. The grills on the side of the turret are designed to deflect some of the explosive force of an incoming anti-tank missile. These sources assert that the tank was seized while fighting near Abdiivka. According to Russian reports, the tank was ambushed by a small Russian platoon an action that compelled the Ukrainian tank crew to abandon their vehicle. As reported by the German publication build, the German Ministry of Defence is deeply invested in monitoring the status of the Leopard tanks they delivered to Ukraine. German journalists claim that a significant portion of the total 18 tanks shipped to Ukraine required frequent repairs at specialised bases. Iran backed Houthis escalate their attacks, threats to U.S. warships increase. The Houthis of Yemen think they're at war with the West. According to Bloomberg, with the news that three undersea fibre optic cables were severed off the Yemeni coast and that one of their ballistic missiles took lives for the first time upon striking a container ship, it's time to acknowledge that we are at war with them. The much harder question is how to fight this kind of asymmetric foe. What the Houthis are proving is that the developed West faces rising challenges on two fronts from weaker enemies ranging from non-state actors to the likes of Iran and Russia and for all the still extraordinary power of U.S. carrier fleets, the answer to those challenges can't always boil down to just getting tougher, drawing lines and establishing deterrence the standard Washington strategy. Recently, U.S. British forces shot down dozens of kamikaze drones, missiles engaged in an attack launched by Iran backed Houthis in the Red Sea region. The Houthi operation, largest reported to date, was against a Singapore flagged cargo ship and several American warships. The Houthis military spokesman Yahya Saari confirmed the strike and said the attacks would continue until the aggression stops and the siege on the Palestinian people in the Gaza Strip is lifted according to Iran International Newsroom. The Houthis have been targeting commercial vessels and often U.S. warships in the Red Sea and the Gulf of Aden since November, disrupting global maritime trade, forcing major shipping companies out of the region, sinking one ship and killing three civilian crew members. The attacks began after Iran's ruler Ali Khamenei called for Muslims to blockade Israel. The swarm attack last Saturday may be seen as a significant escalation since it's much more likely that one out of the many drones flying together evades the defense systems and hits a U.S. warship which would force the Biden administration to elevate the level of its response, possibly even targeting Iranian assets. This time, however, no U.S. or coalition Navy vessels were damaged in the attack and there were also no reports by commercial ships of damage. According to U.S. Central Command, the action was taken to protect freedom of navigation and make international waters safer and more secure. Ukraine announces major operation in Crimea amid Black Sea actions. The chief of the main directorate of intelligence of Ukraine, Kirill Obudanov, has announced the preparation of a significant operation in Crimea amid the actions carried out by the reconnaissance units of combat missions referring to the main directorate of intelligence's documentary film, War for the Sea from the Nepro to Crimea. Commenting on the significance of the combat missions carried out by the reconnaissance units, particularly in the Black Sea and in the temporarily occupied territory of Crimea, Obudanov said that these are all preparatory measures for a serious operation in Crimea. This is a test of the accuracy of our claims about the routes of approach and withdrawal from there. Also, it is a morale boost for the population that's been living under occupation for already 10 years. Many of them believe they have been forgotten. Kirill Obudanov said the main directorate of intelligence disclosed operations successfully executed by the department's special forces in the summer of 2023. The shamans special forces unit crossed to the left bank of the Nepro River in the Kursan region. After destroying and capturing invaders, the first steps were taken towards establishing a left bank bridgehead in that area. Also in July of last year, the Timor Special Forces Unit regained control of the state-owned oil and gas extraction platform Ukraine and later participated in the Crimea operation Awakening of Strength. Regarding the destruction of enemy fleet ships, the main directorate of intelligence said that this is the responsibility area of the Group 13 Special Forces Unit. On the night of February 1st, Ukrainian forces destroyed the missile boat Ivanovets of the Russian Black Sea Fleet. As reported by the main directorate of intelligence, the Ivanovets' boat was to some extent the pride of the Russian fleet. There were only three units of such ships. It could accommodate up to 40 Russian sailors. Furthermore, near the shores of the temporarily occupied Crimea on February 14th, the main directorate of intelligence and the armed forces of Ukraine destroyed the Russian large landing ship Cezar Kunikov near Alupka off the coast of Crimea on the night of March 5th, 2024. The Special Forces Unit, Group 13 of the main directorate of intelligence of Ukraine attacked the patrol ship Sergei Kotov of the Russian Black Sea Fleet.


Finally, here's a task for you. I've shown you some pictures in this video representing ionic compounds dissolving in water. Sketch yourself a picture of a solution of magnesium chloride, but include in it the water molecules that surround the ions. Try to do it in such a way that it is as physically accurate as possible.


Hi, everyone, Joe for JaspeysCaseRakes.com here, coming at you with 2021 Panini Chronicles Football. Half case, pick your team number three. Half case from a fresh case. Brand new release, too, just dropped yesterday. And all cards will ship. There's the fresh case right there. Thanks, everyone, for getting in on it. Thanks specifically to this group for getting in on it. Appreciate it. Here on Thursday, the 14th, pick your team three. If you have little rooftops next to your name, that means you won those spots in the filler, the team random that we did, where we pulled the remaining teams out of the pick your team, randomized them so it's a little bit of a random team, pick your team hybrid. Now let's see which half we're going to do here. Right here. So we'll go one, two, three for the left side and four, five, six for the right side. Good luck boxes. Four, one, two, three, four, five, six. So this we will save for next time for pick your team four. Pick your team four is actually part of a promo. So check out the details on JaspeysCaseRakes.com. For now, and let's see what we got. We're looking for two autographs, one memorabilia card per box on average. A lot of variety in this Chronicles, a lot of parallels. A lot of different inserts, different designs, a lot of great grading opportunities for a lot of these cards as well. We want to get all cards shipped and we got a turn of the century, Michael Carter. That's three out of five. Nice. First break of the day, first box of the day, a train whistle out of fives and under. This gets the world famous. That's for Jack and the Jets. Jack all aboard the Big Hit Express. Not sure if Michael Carter made a lot of noise last season, but he's a rookie. Maybe see him make some noise this season. Jets can be an interesting team to watch this year. Anthony with the Texans, you'll get all those Davis Mills's. Those next to me right over here. We'll have our shipping team top load all those before they get sorted, all sorted out. There's Zach Wilson. Trevor Lawrence. Zach Wilson again, I like these old portraits. Jalen Waddell to 99 for Miami. That'll be for on hell. There's Eli Mitchell. Adam was saying he was pretty solid, but I can still split time with Breeze Hall now. Which might not be a bad thing. Everyone seems to be using some sort of running back committee, right? That's right, G-Lo. Zach Wilson is making a little bit of noise. He likes, maybe just likes, just more of older mature women, you know? It's fine. It's kind of the game well for the Eagles, Jersey and Autograph. 65 out of 99. He's like, I'm tired of running around with girls in their mid-20s. What a hassle. Patrick with the Eagles. Matt Jones, all of those Matt Jones will go to Han. There's Russell Wilson to 49. And we've got Trey Lance. I hope he does well this season. 363 out of 399. Apparently, Justin. Nice. Is that a G-Lo original? He used to play for the Jets where he played for the Cougars. He did used to play for the Cougars. So the answer is both. Russell Wilson goes to Nestor in the Seahawks. Deck Prescott to 399. Najee Harris, Flux. There's Michael Carter to 49. And we've got Trey Sermon back here. He could have an interesting year. I feel like Eli Mitchell kind of outshined Trey Sermon. But if they can get both of those guys going, be a good backfield for the Niners. Yeah, you think Zach Wilson's B-O-I-U cards are going up in value? Oh, you know what? The hobby and older ladies have in common. Zach Wilson might have an answer for that. They get better with age. They both want Zach Wilson. Dot, dot, dot. I get it. Second one. Good luck. Got Great Iron Kings, Chuba Hubbard, 4 out of 75. That's for Jerry and the Panthers. That card looked like it's a little more narrow. About the same size. Is this top a little larger? Just going to throw it off a little bit there. There's a Mac Jones score refractor. I like the Chrome look on these score cards here. It's Kyle Tras to 99. And we've got a Greg Rousseau rookie auto. 12 out of 25. Great defender here for Cody. And his bills. Buffalo! Ian Book to 199. Trey Lance, Trevor Lawrence, Clear Vision. Those Clear Vision cards look sharp. And we've got a Najee Harris Relic. 321 out of 399. And that will be for Mr. Adam Cofferman. Who won that team in the filler. Worked the first time since 2018, just the same as the Jets have scored over 40. Zach Wilson really played that situation cool too. There's Russell Wilson to 399. There's Trevor Lawrence. And speaking to Zach Wilson, there he is. More Trevor Lawrence. All those Trevor Lawrence's, all those quarterback cards I'm sure will add up. I'm rooting for all of these rookie QBs to do well. Who knows what's true in that Zach Wilson story. It's kind of funny though. There's Justin Fields, Davis Mills. Trevor Lawrence, red parallel. That's out of 99. Trey Lance, Jalen Waddle. I have a cool Trey Lance photo right here. Trey Lance, this is Jesse in the Jaguars. It's to 99. Anthony, it's going to get all these Davis Mills's. And Jeff, with the Bears, you're getting all these Justin Fields's as well. Next box. I hear you, Gilo. I hear you. All right. Next one. A Tom Brady one of one. That would be nice. Do you have a preference on what design? There's Ian Book to 75. That'll be for Adam. Clear vision, Justin Fields. In a pinnacle design. That would be cool. What is a Zach Wilson relic? Oliver is asking. Uh-oh. There's Matthew Stafford at 399. And for the Steelers. Totally certifies signature. 26 out of 50. Ryan Chaizier. Nice. That will be for Adam and the Steelers. Tyler, what's up? Got a numbered Greg Rousseau right here. Saw his autograph earlier. And behind Jalen Waddle is Jalen Waddle. Nice rookie autograph for Miami on hell. Got the dolphin straight up. Gets the dynamic Jalen Waddle. Who might benefit greatly with Tyreek Hill. Surely getting some attention from defenders. That is 39 out of 75. Strong. You'll get all these Jalen Waddles as well. Justin Fields. Relic? Yes. To 399. Piece of his jersey going to Jeff and the Bears. And Tray Lance. Yeah, Brody, I agree. I do love those prism black parallels. They're really sharp. Tyler's saying Chronicles. Best NFL product. Hands down. I do like the variety in this for sure. It makes it very fun. Here's the Tray Lance Prism Black. There's parallels of these so you can kind of, you'll see different colors in the sides right there. Niners. Jay Greggs. With the Niners. We'll get all those Tray Lance's. Han with the, all the Mac Jones's. Matthew Stafford numbered. Card goes to Anaheel and the Rams. To 399. And all the Zach Wilson's go to Jack. Got randomized the Jets. All right, we're halfway through this half case break. Second half in the store right now. I don't think there's a filler yet for it. And it's part of tonight's promo. Yeah, no filler yet. Five teams left. Probably put it into a filler after, after this break though. So now's the time. That is what Zach Wilson said. Yeah, a lot of great value. I think we've been selling a lot of these boxes. Chronicles football boxes out of the shop. I think personal breaks on Instagram. I think Jason's been moving a lot of boxes too. So yeah, great value of fun. Fun rip. A lot of different things to see. It's good visually. And here is Nick Chubb. 003 out of 199. That goes to Michael and the Browns. And they're Davis Mills and a Tre Lantz. Trevor Lawrence. We've got to add a 399. Josh Allen. Justin Fields Flux. And a Jason Peters ascension autograph. That is for Patrick and the Fly Eagles Fly. And there's Justin Fields. Can we do a random team of archives in your series? Sure. I'm sure whenever that comes up, we'll probably do random teams of it. This is actually number to 50. You can see the gold border right here. Isn't that how we usually do archive six? Or do we do random boxes? I don't know. I guess we'll find out when Nick posts it. Random teams definitely a possibility. There's Trey Lantz in 99. And Great Iron Kings Trevor Lawrence autograph. Yes. Nice one for Jesse and the Jags. 12 out of 25. Nice one, Jesse. Hopefully he does well this season. A lot of coaching drama last year. Probably derailed his progress a little bit. But hopefully he'll be back on track. Oh, do we have archives signatures on the Instagram side? Okay. I guess it's only on Instagram then. Maybe we only got one case for the IG side. Otherwise, we would have loaded it up on this side. Tyler's calling a Trey Lantz autograph. Nice. That would be nice. That would make Jay Graggs very happy. Well, if you wouldn't mind a random box break of that, you should just go grab a personal box on the Instagram side. You'll get a random box. You wouldn't even have to wait for it to fill up. Jason will just grab you a box and rip it for you. Kaderia's Tony $3.99. That's for the Giants. Nestor for the New York football Giants. Looks like the Dodgers Cardinals games underway now. Trevor Lawrence in that Luminance design. Trey Lantz. Mack Jones, purple parallel to $1.99. Han and the Patriots. Zach Wilson. Rashad Bateman to $1.99. Another Mack Jones. A Dante Hightower, totally certified signature. 16 out of 25 for Han and the Patriots. One of my thoughts on the MLB Align pools and Miggie and the All-Star again. I think it's great. Show off those legends. 7 out of 49 is what probably pools his last All-Star appearance for sure. I guess Miggie might hang around for another season or two. There's Matt Ryan to $3.99. Kyle Trask. Any guesses on that redemption for Bragging rights? Good luck. We got playoff momentum rookie autographs. Brody says it'll probably be Kyle Pitts, because of course he doesn't have the Falcons in this break. He's got them in the next one. Tyler's guessing Travis Etienne. This will be J... U... S... Just... In... Fields. Nice. That'll be Jeff and the Bears' last spot mojo strikes again. 70% of the time. Last spot mojo hits. 100% of the time. The shy city Bears. Nice. Alright. Final box. Good luck. Once again, second half in the store. No filler yet. But I will be creating one after this break. I think we're still holding at five teams remaining. We got Rashad Bateman. Piece of his jersey. 008 out of 3.99. Going to Aaron and the Ravens. Maybe without Marquis Brown. Rashad Bateman gets some more targets, some more looks. Trevor Lawrence. Trey Lance. Rashad Bateman again to 1.99. A little purple, two little color match there. Jamar Chase. Trey Lance. And for the Ravens, we got a 10 Marshall Yanda autograph. It's for Aaron and the Ravens. 22 Atwell to 1.99. Trey Lance. And another Trevor Lawrence. Wow. What a break for Jesse Garcia. Bought the Jaguar straight up. And gets it out of 49. Panini Black, what maybe green parallel. Trevor Lawrence. Nice T-Lock. 80 to 3.99. Mack Jones. Patrick Sartain to 99. Rondale Moore. And the Clear Vision, J.C. Horn. And there you go, ladies and gentlemen. Pretty solid break. Another solid break of Chronicles in the books. Some T-Law. Some Justin Fields. Some more T-Law. So a pretty strong break. Jalen Waddle, Ryan Chazier, Greg was so, so on and so forth. Thanks for watching, everybody. I'm Joe for Jaspeasecasebreaks.com. I'll see you next time for the next one. Bye-bye.


The following demonstration is for informational purposes only. Please do not attempt. When it comes to heating your VapCap, we generally recommend a pocket butane torch or an induction heater. But what other ways can you heat a VapCap? Is a torch really necessary? Sometimes they fail. Can you use a magnifying glass and the sun? Remember to respect the click. What about an electric stove? It turns out you can use just about any source of heat of sufficient thermal intensity to heat a VapCap. We set up five experiments other than a pocket torch or induction heater on this episode of Exploring the Dynamics. An electric stove with an old-fashioned electric burner element. A magnifying glass and a little bit of solar radiation from our nearest star. And how about a little bit of burning metal, otherwise known as a sparkler? And here we have a propane torch. A little bit higher thermal intensity but also usable. And finally, your standard disposable lighter. The electric stove is a viable heating option. It does produce sufficient thermal intensity but you got to do it just right. In this clip you can see we're using a 2020M with an XL kit. The device is a little bit too far from the burner and the burner is not quite hot enough. So here the burner has been turned on high and you can see as it starts to glow it's giving off so much radiant heat that it becomes very uncomfortable to hold your hand close enough to heat your cap. It's too hot. Somewhere in the neighborhood of medium to medium-high heat and as you can see here placing the cap actually in direct contact with the burner element is going to give you the best heat transfer. Because this way we have both radiant and conductive heat transfer going on with a little bit of convection as the hot air is rushing up past the burner element and transferring heat to the cap. The XL kit works really nice when you switch the stem around so that you don't have your mouthpiece profiles back to back. And this is why you see things are a little different in this example. The electric stove is rather interesting because it produces a significant amount of radiant heat but not the most. We're going to get into that next and Pranaval shows how. I have my beloved picnic table and I have my 20-20 am and a magnifying glass and we're going to use the sun to heat up a VapCap. Let's do it. I particularly like this example of using thermal nuclear radiation to heat a VapCap. In other words, a little bit of light energy coming from that nuclear reactor. It's about 93 million miles away. So as you can see here, we're using magnifying glass to focus and concentrate that thermal energy right onto our cap. It takes a little bit longer than some other heat sources but it also further shows and demonstrates the utility of an energy source independent device. Focus a little bit of sunlight on your cap, preferably wear some sunglasses because there is not an insignificant amount of UV radiation that you might be exposing your eyes to and see if you can make a click. It's like 55 seconds this time. We tried it twice. First time we got it to click in like a minute and 15 seconds. Second time it was about 55 seconds. Nothing changed much. I just moved the magnifying glass a bit so I guess that changed the focal distance a little bit. Let's talk about focus. When we're using a magnifying glass and the solar radiation, we want to focus to the smallest spot as possible because that's going to give us the highest thermal gradient, giving us the best heat transfer. A larger spot, more diffused heat, going to take longer and may not even be of sufficient thermal intensity to make the cap click. Smaller spot, higher temperature, but it makes it a little bit more important as you rotate the device to get good even heat distribution. We tried using a handheld magnifying glass and holding it for that long, you can't really like get it focused that well because human error, my hand kept moving and then we found this guy in the shop and we set it up and got it focused just right and it's also burning the picnic table right now. The handheld magnifying glass is an option but it's going to be much more difficult to achieve the kind of heat that we can with a larger diameter magnifying glass simply because there's just less surface area to collect energy from and focus it down onto a point. I think earlier it was like a little more windy so it was cooling down. I think we got like good conditions for a bit. I mean if you're in a pickle you don't have a torch and you don't have an induction heater, bare bones, but somehow magically you have a magnifying glass. You can do this. We've just demonstrated two combustion-free alternatives for heating your VapCap. In this next experiment, we're going to try something completely different. Josh, let's burn some metal. Now, last year Pranav and I did this test and we thought we'd do it again with a 20-20M and some better sparklers. So, let's see how it goes. The sparkler is actually thermite. It's an interesting combination of metal and an oxidizer or a source of oxygen that can be ignited with a relatively low thermal intensity heat source like a torch. Most sparklers, for example, are a mixture of aluminum, titanium and some sort of oxidizer like potassium perchlorate. And there we have the collect. Some of the disadvantages of using a sparkler is it produces a lot of byproducts and what you'll probably notice is that your cap is going to turn white. It's not the opposite of when you use a candle or a soft flame lighter where the cap turns black because you're getting carbon. When you use a sparkler, you're getting metal ash or metal oxides such as magnesium, aluminum, or titanium oxide or dioxide that are fuming and more or less just sticking to the cap. Most of the stuff will wipe right off but since these aren't compounds that I would recommend that you consume I would probably discourage using sparklers as your primary heat source. Methyl acetylene propadene propane or map gas. Check it out. Believe it or not, a map gas torch is perfectly fine for heating a map cap but you don't want to see your cap glow.  Turn the flame down a bit and move further away and you can effectively heat your device using a heat source that has this much thermal intensity. And finally, we're going to elaborate on the most commonly available alternative heat source a big lighter. I'm going to show you how to use this because it's actually a pretty good heat source especially if you've got nothing else available. And put your device deep in the flame like this. You should see little to no yellow and rotate slowly. This gives the best heat transfer and the smallest amount of soot formation and as you'll see as this cap comes up to temperature and clicks. There's almost no visible soot on the cap and it doesn't take that much longer to heat than a torch lighter. You just need to have a relatively wind-free environment. If you don't heat the device low in the flame like I just demonstrated you're going to get carbon and soot all over your cap. When we hold it in the yellow part of the flame like this we can see the soot coming off the flame and we can see now our cap is very black and covered in soot although most of it will wipe off. After a while it will darken your cap. So how do these heat sources compare to one another? The map gas? Very fast. It burns a lot of fuel and the fuel is not very cheap. Does it work? Sure.  The sparkler? It's kind of dirty, probably not the most desirable and you definitely don't want to use this inside because it's going to make a mess and it might catch other things on fire. The electric element on a cook stove? Well it's definitely going to be slow and you've got to get it just right your fingers might get a little bit hot. And the magnifying glass? It's not the most practical. You definitely need a good sunny day in a decent quality magnifying glass. It works. And then finally, the big lighter. It doesn't do so well in the wind. A little bit more challenge to use but all in all a pretty good choice compared to the others. In conclusion, it's not really about what heat source you use with your VapCap but balancing heat, temperature and proximity with a little experimentation and patience. You'll find using alternative heat sources can be very satisfying but using a clean heat source is highly recommended. In other words, hitting your VapCap with a sparkler is probably not going to taste very good. What alternative heat sources have you tried? How well did they work? Please tell us about it in the comments below.


So, this systematic review is about a comparison of the findings of the International Forest Tree Resources and Institutions Research Program and the findings and other scholarship that has been done on community forests or forest columns. So the IFRI program has now been in existence for about 20 years and in our last biennial meeting we felt it was time to take stock of what we have done and what we have found. And it just happened that Aaron Russell was also present at that meeting and he suggested one way to do that would be through a systematic review which is an initiative that C4 it seems had just launched. It seemed like a nice combination of interests and opportunities. The first of the objectives is to understand if there are differences between the findings from the IFRI research program regarding what leads to sustainable management of forest commons and sustainability of forest outcomes through community management of resources. And to compare the findings of the IFRI program with those in the larger literature on forest commons. But at the same time we also want to understand if there are specific interventions that can improve outcomes and to the extent that we can do so whether it is easier to identify such factors using qualitative versus quantitative analysis. So a second objective of this systematic review is also to compare the findings regarding successful community forest management through qualitative versus quantitative work on forest commons. The work that we are doing is very likely to be of interest to policy makers both in developing countries but also to groups of decision makers in developed countries. And I say that because community forestry is of interest both in developing and in the developed world because of its potential contributions to carbon sequestration at the same time as it provides livelihood benefits to hundreds of millions of people around the world. So I would guess that the findings we come up with regarding what makes for more effective management of community forests, forest resources, more effective sequestration of carbon and higher levels of benefits to people from forest commons would be of substantial interest to policy makers in developing and in the developed world.


Hi, I'm Zor. Welcome to Unizor Education. We continue solving problems on combinatorics. This is the seventh series of problems of the first part. You see, 1.7, so we will have another part. Now, this lecture is part of the whole educational website, Unizor.com, for advanced mathematics for teenagers. I do recommend you to go to this website and try to solve all these problems yourself first, without listening to whatever I'm saying right now. All the problems are presented in the notes for this lecture. With solutions and answers, but obviously you first check if you can solve it yourself, check it against the answer, and if it's good, fine, excellent. And then listen to the lecture. These self-study are very, very important, actually, because the whole purpose of this course is to develop your analytical abilities to solve the problems, because the problems which we are talking about right now have practically nothing to do with real life. So it's just for training of your mental abilities, if you wish. Anyway, so let's go straight to the problems, and I have four of them. Number one. Okay, I have N houses on the street. Now, people who live in these houses, well, let's consider for simplicity there is one person who lives in every house. They know only their immediate neighbors. So this guy knows this one and this one. This guy knows this and this. This one who is on the edge of the street knows only this one, right? So, now, our task is to find three people who do not know each other. And basically the problem is how many different triplets of sets of three people you can pick from all these houses in such a way that none of them knows each other. Okay, I'm going to present it in two different ways, actually. Number one is let's calculate it this way. First, we will count all the different triplets which I can choose. And then I will subtract those which I do not consider fit for this task. I mean those who contain somebody who knows each other, right? So the total number of triplets is obviously number of combinations from N by 3. That's easy. Any three houses, any three people who live in these houses are in this count. Now let's exclude those which know each other. So we will exclude those triplets who contain people who know each other. Well, if there are people who know each other, they are neighbors, right? So it's either number one and number two, or number two and number three, or number three and number four, etc. So how many pairs of neighbors exist? Well, if the total number of N, then the neighbors are one and two, two and three, etc. The last one would be N minus one and N, right? So from one to N minus one and so it's N minus one pairs. Now with each such pair, I can choose any other house and I will get a triplet which I don't really need. We need people who have neighbors in it, right? Who know each other. Now how many others? Well, if two are fixed, then there are obviously N minus two who belong to any other house, right? So I have to multiply number of neighboring pairs by number of other people I can choose into each of these triplets. Well, here you have to be very, very careful. And this is a perfect example where this problem on combinatorics has this, how should I say it, some kind of underwater current. You have to be very careful in this particular regard because look at these three. Let's say this is number K, K plus one and K plus two. So we have three houses which are in a row. They're all immediate neighbors to each other, right? Now if I counted this pair and then one of others would need to connect the K plus second to this pair and I counted it. But then I can consider this pair and count this guy among others. So it looks like this triplet of immediate neighbors was counted twice. Now how many immediate triples I have? Well, it's either one, two, three or two, three, four, etc. And the last one would be N minus two and minus one and N. So it's N minus two of those, right? So I have to really subtract N minus two from this number because I counted double each triplet of three immediate neighbors was counted twice as this pair plus this or this pair plus that. So that's a very, very important and very kind of... It's a nuance, I would say, of this particular problem. So you have to be very, very careful when you're counting something. So if you double counted something, you have to subtract it. So overcounting and undercounting are definitely dangerous in these problems. So this is the number I really have to subtract. This is a number of triplets which have pairs of people who know each other. And by the way, this is equal to... If you factor out N minus two, you will have N minus one minus one, so it will be N minus two square. So the answer would be this. As I was saying many times, it's very good to have the problem approach from different angles if it will come up with the same result. So let's try to do it in this particular case. Here is the second way I would like to count. In this case, I don't want actually to go into the logic which leads to this double counting. I would like to count only those which really must be excluded, only the triplets which have pairs of people who know each other but without overcounting. All right, how can I do it? Well, here is my problem for the first solution. I had these triplets of neighboring houses, immediate neighbors, one after another, all three counted twice. So let's just do it differently this time to avoid this. First, I will count how many triplets exist where all three people know each other. Well, obviously it's those one, two, three, two, three, four, etc., N minus two, N minus one, N. These are triplets of all three being immediate neighbors. I count them separately. So how many of them are? N minus two, right? From one to N minus two. Okay. Now I will count only those who have exactly two neighbors who know each other and the third one is remote. So the two are neighbors and the third one is remote. Well, here unfortunately I have to split it into cases because if these two which know each other are in the middle of the street, like these two, then all together are N of them. Then immediate on both sides and these two makes the number of all other remote things, N minus four, right? N minus two and minus two immediate neighbors. However, my pair is at the edge of the street. I have to subtract only one immediate neighbors if I want to count remotes. So in this case remotes are N minus three.  So let's count them separately, all right? How many pairs which are at the edge of the street? Well, two. One in the beginning, pair and one pair at the end. So I have two pairs and each of them has N minus three remotes to connect to this pair to have a triplet where only two people know each other. On the other hand, the other which are inside, so how many pairs are inside? Well, there are total number of pairs N minus one, right? One, two, two, three, et cetera, N minus one, N. So the total number of pairs N minus one. Two of them are at the edges. So the rest N minus one, minus two, which is N minus three pairs are in the middle of the street and they have N minus four remote houses which I can combine to make a triplet where only two people know each other.  Well, equals to N minus two plus N minus three factor out I will have N minus four and two which is N minus two. N minus two factor out. I have N minus three and one. N minus two which is N minus two square. So I have to subtract N minus two square. The same result as before. So it's good that I have the same result. It means I am on the right way. But let me just spend some time to simplify this. So this equals to N N minus one N minus two divided by one, two, three minus N minus two square equals... Okay, what should we do? Well, let's factor out N minus two.  Right? N minus two was out. So I have N minus two remaining multiplied by six. So it's six N minus twelve. But there is a minus sign, so it's minus six N plus twelve. Equals N minus two. N square minus seven N plus twelve. It's N minus three N minus four. That's the formula. Now, this is number of combinations from N minus two by three. It's a very simple formula, right? So I don't know. It seems to me there might be some kind of other solution which leads directly to this formula. But I just don't know it. So if you know, by all means send it to me and I'll publish it on the website. So it looks like this formula seems to be too simple not to have a solution which leads directly to this. So maybe there is some trick which you can arrange and do this. Correct. So that's it for this particular problem. Next. Next is a simple one. You have M conference rooms and each room can hold N people. So let's consider we have a conference and we have M times N people participating in the conference and we would like to spread them among M rooms and N people in each room because that's exactly what each room holds. The question is how many different arrangements we can make. I mean obviously the arrangement is basically the same number of people to be in one room. And if I change the rooms for instance and I don't change the composition of the room that's exactly the same arrangement, right? So all rooms are equivalent and obviously I have to count how many different ways to spread these M times N people among M rooms exist. Now the easiest way is first have the permutation of all the people and there are M times N factorial but now they are broken into the rooms, right? The first N people here, the second N people here, the third N people here, etc. But now if you think about it if you change the rooms it does not change the arrangement, right? So there are M factorial of different segments of the rooms so if you just change the rooms it doesn't change anything. Now every room has a certain number of people and if you permute all these people within the same room it also doesn't really change anything, right? So you can definitely say that permutation of these N people which is N factorial and permutation of these N people which is also N factorial, which is also N factorial, etc. So it's N factorial to the power of M because these are all constitute the same arrangement of people among the rooms. So that's the answer. You permute without changing arrangements the rooms and people within each room. Next, also easy, if you have N straight lines now let's consider the most general case like lines are not parallel there are no three lines which are intersecting in the same point and it's also important for this particular problem there are no four lines which can be inscribed in a circle so because my question is about circles how many different circles and the circle can be inscribed or circumscribed inscribed actually in this particular case can be inscribed into any triangle, right? So question is how many circles exist which are tangential, each of them is tangential to exactly three lines because for any three non-parallel lines we can find a circle which uniquely tangential to inside the triangle or outside the triangle, right? So you can have it here or you can have it here or here or here So with each three lines you have four different circles which can be tangential to all three of them So now the answer to the question is how many circles are there which are tangential with each of them tangential to three lines This is obviously four times number of different combinations from n lines by three That's it That's the answer And the fourth problem Actually I like this problem because I don't know how to say how to qualify actually this I think it's cute if you wish and it looks really simple but it has a very very important combinatoric sense So we have a cube Now the cube has six sides and let's say I have six different colors I would like to paint six different sides with six different colors Now Obviously the question is how many different ways to paint six different sides of the cube with six different colors exist But I have to really make one very important note here If I can rotate the cube in some way and one combination of colors is basically transformed into another I really should consider them to be exactly the same color scheme So my question now is more precise question how many different color schemes there exist Now if we don't take into account that one can be transformed into another then obviously I have six factorials which is 720 different permutations of six colors Now which of them are the same So the question is how many different permutations are transformable from one to another Here is my logic Let's have this cube fixed in some position and some particular side is on the top So let's call this side number one Now these sides will be number two, number three number four on the back and number five on the left and number six on the bottom So we fixed it Now let's put one particular color into the number one Okay, number one is equal to red and put some other colors onto other Number two is something, number three is something, etc Now how many different transformations of this cube exist if my number one which is red is still on the top Well, if I fix the position of the top of the cube now all transformations are actually rotations So I can rotate the cube and there are four different positions I rotate it by 90 degree, by 180, and by 270 So the beginning position and three additional positions are rotations So I have four different positions of the cube with one side on the top But there are six sides So I can first put one side on the top one of six and with each of them I will have four different positions of the cube So I have six times four equals to 24 different transformations of the cube which are completely equivalent to each other They are transformed from one to another First we position the top to whatever is necessary and then we start switching them around rotating them around around this vertical axis to get into the position So I have 24 different positions of the cube which are completely equivalent to each other Well, that means I have such a different coloring scheme if you wish Well, that's it, thank you very much I do encourage you to go back to Unizor.com and go through these problems yourself again Just solve it yourself, check it against the answer which is provided and that would be a good kind of exercise for your analytical mind That's it, thank you very much and good luck