Can you tell us your name, how old you are, and where you're from? My name is Rebecca, and I am nine years old, and I'm from South Dakota. South Dakota, nine years old, you guys, nine years old. So, at the race to deliver, you experienced Holy Spirit, and you were actually delivered as well. Can you share with us a little bit about how your life was before this encounter you had with God?  So, you were hearing these things that Satan was putting into your mind. I know that she was saying that it was very unloving, so her mom actually shared with me that where they used to live, they were being harassed, they were being stalked. It got to the point where they had to sell their home, and live in a nondisclosed area because they weren't allowed to share this information, it got to the point where she was at school and they would come and harass, they would call and harass and just, it was crazy. So, yeah, share with us, so can you imagine that fear that they had living within them? So, can you share with us a little bit about what happened at Race to Deliver? They called some of the kids up to this stage, and I was literally crying so bad, the Holy Spirit just made me fall to my knees, and I felt demons coming at me, like each time I was bowing down, there was like a rock coming out of me. So, it wasn't a physical rock, but when you felt this rock, it felt like it was closing in on you, can you share a little bit about how that felt? Well, it felt like really, really heavy, and it was like, it made me bow down because it was so heavy. And you said that there was one time where it was so big that you felt like your throat was going to close up, right? Yeah. Okay, so after you experienced all of this, how can you testify and how is your life now? How has God been moving within you and your family now since that time? Now, I just feel joyful, all so peaceful, and every single day I wake up on the good side and I'm ready to just start my day. Amen, praise God. I've been able to witness her in kids' zone, and it's so beautiful to see her in kids' zone, just sharing the love of God. I know that she has told us and shared with a lot of us in the kids' zone that if she wants a hug from God, she asks for a hug from God and she like receives, right? Yeah. So, she receives this and then she was saying that, oh, you guys, if you guys want God to come and play with you, just tell him to come and play with you and he will. So, it's really awesome to see just a young girl is nine years old experiencing Holy Spirit and experiencing God in those way so, Rebecca, can you share some advice to some younger children or just people in general who may be in the same position as you? Don't ever give up on God because he's always gonna be there. He's just gonna be right by you.  He'll just be with you. Amen.


Hi everyone. I'm here to talk a little bit about connecting external network resources to OpenStack because that's a need that often occurs. First, a couple of words where I come from. It's running public clouds, basically. In multiple countries, also some community clouds and private clouds and stuff like that. So we have lots of different requirements from different customers when it comes to how they want to connect external resources. There are also some physical servers that are hosted for customers, which means that you have to connect it to be able to connect the virtual resources to actual physical resources. We mostly run Rocky. We use OpenStack Ansible on Ubuntu for provisioning OpenStack. And we use Neutron ML to open V-switch combination for networking. So what use cases do we have? Of course, there are very many different needs for different customers. Some of those connections that are going to be created needs to be isolated to specific customers, especially in the public cloud. If you need some, a customer needs some special way to connect to other resources, it's nothing that any other customers should be able to use. Of course, Internet Access is another way to connect to external resources. Connecting to existing VLANs that can be used either to transport data to other locations or just to physical servers in the same data center or whatever. Remote locations. A customer might want to connect their OpenStack virtual resources to their own office or their own data center and have ways to communicate even to tenant networks, not just the provider networks. And we have some customers might bring their own network subnet that they have registered through RIPE or any other equal association. And so they might need a customer specific floating IP pool to be able to use IP addresses from that subnet instead of the generally available floating IP pools. So, floating IP pools. Of course, you can use floating IP pools both with private or public addresses. This is the general way that customers use for Internet Access. And, of course, NAT is performed on the network nodes in this case. And the traffic egresses on the network nodes as well. It can be combined with the address scope and subnet pools. And I'll get a little bit more into that in a couple of slides. So, the floating IP pools, pros with those are, of course, that they are very widely used. It's simple to reserve and move addresses between resources. You just attach and attach that address you need. Or you can even keep it in reserve for you, even if it's not attached to a specific resource. Some cons there. It requires NAT, which might not be desired. Network nodes might become bottlenecks as they have to do the NAT, routing a NAT. And you can egress directly from the compute nodes in this case. And they are shared between users. So, how do you set up floating IP pools? That is pretty basic. You set up by creating an external network. Specify the network type and which physical network it should be connected to. And the segmentation ID, usually a VLAN. And then you create a subnet on that network. Also, as I said, you could use address scopes to be able to use routable to mitigate the last con that it required NAT. In this case, you could create an address scope and then create a link network in that address scope. And then a subnet pool that you use for link networks and a subnet pool that is used for the actual networks that customers can provision. And then you create the external network and make sure that it is in the address scope, which means that the network node will see the external interface will be on the link network. And the internal interface on the tenant network will be on the in the same address scope, which means that it won't do any NAT between. And also you will make sure that the routable addresses that the customer use will not overlap because it will assign addresses from the subnet pool. In this case, I use the slash 16 for the subnet pool for the tenant networks. And then the slash 24 in this case will be assigned from that network. Then you can do the same thing. You can make great customer specific floating IP pools. That's basically the same thing. But you will use access control by creating our back rules and the policy access as external, which will create, make it possible to limit this to certain projects, customer projects. So you can have a customer that has their own floating IP pools. And basically the same pros and cons except for the fact that it is not shared between customers. So you can use this for specific customer needs. And basically the only difference here is that the last command that you do an RBAC create and create an access as external policy for the specific network, which makes it seeable only by that user as an external network, that project as an external network. Then we have shared provider networks. Those are directly attached. You can directly attach virtual machines to provider networks. In this case, you can egress on the compute nodes and do VLAN tagging, for example, directly on the compute nodes and not having to route the traffic through a virtual router on the network node. You also don't need to use NAT. You could of course use some kind of enterprise, other enterprise NAT platform if you want to, but it's not at all necessary and it's not within open stack. Exactly as with the floating IP case before, you can use RBAC rules to create policies and limit which projects are able to use the shared network. When it comes to pros here, it is also widely used. It doesn't require any not doing any netting. You can let the traffic egress directly on the compute nodes so network nodes won't be a bottleneck. The con might also be that the traffic egress directly on the compute nodes, depending on how your network infrastructure, what your network infrastructure looks like. If you, for example, only have access to the VLANs from the network nodes, this might not be possible to do. It depends if it's a pro or a con. It can also be a little bit less flexible than floating IPs. It's not as easy to reserve and assign specific IP addresses to specific resources. You basically just create a shared network. If you want to use RBAC, you will do the same thing there, but the policy accesses shared instead of access as external. Then we have the L2GV. It's basically an API to create layer two links between physical networks and VLANs and open stack tenant networks. In this case, it will egress on specific L2GV servers. It could be combined with other services, of course, but it's a specific service that does the egress. You don't have to use any of that. The pros, you get your L2 connections centralized in one location. It's API-driven and pretty much self-service. Cons might be that it's not as widely used. It might be a huge, large risk to find bugs there, for example, and not as much examples available when it comes to configuration. Also, the L2Gateways could, of course, become bottlenecks as they connect all the L2 connections. So, there is some configuration that you have to do before on setting up agents for L2GV and so on, but when that is done on the L2Gateway, you basically just create an L2 connection to a specific interface and a specific segmentation ID on the L2GV, and then you connect that to a specific network. Then you have VPN as a service. Here you basically create the L3 connections between the tenant network and some other IPsec service. It might be another OpenStack VPN as a service, or it might be your office IPsec gateway or a data center gateway or whatever, anything that speaks IPsec, basically. And it's completely self-service, no setup except for enabling VPN as a service is required by the service provider. So, it's all done by the customer by themselves. The traffic egresses, and the IPsec connection is terminated on the network nodes inside the namespace, the router namespace. So, a pro there is, of course, it's encrypted, it's IPsec, and it's fully self-service, self-serviced. And no, the provider is not required to do anything to make it work or to configure it for specific customers. The cons might be encryption. If it's not necessary in a case where you have, for example, the network between the two locations is trusted for some reason. So, it will, of course, give you some performance penalty. It's not quite as stable as many of the other solutions as this requires that the IPsec session is actually up and running, and it's more moving parts compared to, for example, in direct L2 connection or direct L3 connection. Also, the complexity. It has all the complexity of IPsec. So, it's lots of knobs to turn to be able to make sure that it's configured the same in both locations. And also, for the customer, it might be a con that this complexity that you can't see logs from the open stack side of things. So, it's harder to troubleshoot for the customer. So, VPN as a service, you just set it up by first creating Ike policies and IPsec policies. There you can set, of course, all the aspects of the Ike and IPsec negotiations. And then you create the VPN service for the specific router where you want it to be terminated. And create endpoint groups, which is basically just pointers to what networks that are going to be routed through the IPsec tunnel. In this case, one of type subnet, which is your local subnet and the remote subnet by type CIDR. As you want to provide the sitter of the remote network that you're connecting to. Then you create the site connection between to the peer address of the other end of the IPsec connection. And provide a pre-shared secret that has to be the same, of course, in both locations. Then we have the BGP VPNs. Those are really great if you already have BGP IP VPN infrastructure in place. And they can be both L2 or L3. It depends on how you set them up. And there is an admin part and a self-service part. I'm getting to that in two slides. And in this case, the traffic will egress on the network nodes as well. The pros here, as I said, it integrates very well with the existing infrastructure. If you have a BGP IP VPN infrastructure, you have, for example, an MPLS network or infrastructure like that in place, it will be a very easy way to plug open stack resources into that infrastructure. It's partly self-serviced. One of the parts is when you set up route targets and stuff like that, you need to be administrator. So that's set up by the provider. And then the customer can create connections by themselves. It generally, and the con can be there that it generally requires BGP VPN infrastructure. You need to have something in place that already has this infrastructure. On the other hand, you could use it directly between, for example, two open stack clouds and have them exchange routes directly. But to get the full, get everything out of this solution, you would probably want a BGP VPN infrastructure in place. But if you have that, it's really easy to just set up and configure the right route targets and connect it to a project and then set a name for it. And then the user, in this case, can associate networks to that already set up BGP VPN that you have created as an admin. This is a little bit outside of the scope, but cranking might be useful in some cases when you're connecting external resources as well. It's basically that you can expose multiple tagged VLANs to a virtual machine instance instead of just having to create separate NICs for each network you're connected to. This could be internal networks, tenant networks, or it could be connections to provider networks as well. And that's, of course, useful either, might be useful for firewalls and routers, but it could also be useful if you, in any case, that you need many access to many VLANs from a single instance and don't want to create multiple NICs. And in this case, you create, this is an example where you create two networks with different segments, provider segments set, and a couple of subnets for those, and then create ports for both the networks on both the networks. Then you create the trunk from the parent port, which will, in this case, will be port zero. And you can then, with the trunk set command, add more VLANs. And then you can create ports to the trunk. And in this case, get more segmentation IDs, which will be VLANs. And in this case, I choose to inherit the segmentation type from the networks. You can also set that manually if this is, for example, internal networks that don't have a provider segment ID. So some considerations that you have to really think about. Of course, you need to make sure that you don't get any IP address overlapping in any of those cases. And that's of course true both for layer two as well as layer three connections. Even more so if you have L2 connections where you actually have to think more about address allocation as well. There might be cases where you connect to layer two networks and you have to consider where's DHCP coming from in this case? Will there be a risk that two separate DHCP instances will allocate the same IP addresses to multiple instances on the different sides? In this case, it might be a good thing to add an external IPAM to the mix and to be able to control the IP address allocations from some place central. Or you could go direct the direction of using different allocation pools. Making sure that networks on the respective side has the same network sitter but allocates IP addresses from different allocation pools. For example, if you have a slash 24, one side will allocate only from the first half of the slash 24 and the other from the second half of the 24. In general, you could say that all the parts in OpenStack are very flexible. You can really mix and match and there are lots of ways to do different things and to connect all kinds of resources in one way or another. In general, you can just consider that those parts are pretty much like normal physical networking. You have a virtual router that is pretty much easy, pretty much to be seen as a normal physical router. You can connect ports to it, you can connect interfaces, you can do routing, you can do everything that you can basically do in a physical router. And you can connect things in all kinds of ways. And as I said, you can really mix and match things. You could, for example, use a customer-specific provider network that we talked about earlier. And you could attach it to a router port on a virtual router and then use a link network with a slash 30 subnet with one address in this case on the router port and the other address on some other physical equipment or physical router or whatever. And then you can create static routes on the virtual router to and the terminate this in some other part of your network infrastructure and transport elsewhere. And this can, of course, be used to connect any tenant network with anything outside. Yeah. Do we have any questions? Yes. Sorry. You can do HA routers. And if you do HA routers, that is basically a router that lives on multiple network nodes and uses VRRP to fail over between those network nodes if one of them is to fail. Does that answer your question? Okay. Any other questions? Yes? Sorry. Which of those methods to connect external networks play well with DVR? Sorry, could you repeat the question? So, you displayed several methods to connect external network resources. Which of them play well with distributed virtual routing? I think you could use pretty much all of them in conjunction with DVR. Yeah. I think so. I think you could use all of them. You do have some cases with NAT and you might need network nodes after all to do specific NAT conversions. But in general, you could use all of them with DVR as well. So, if I open my network with a shared network provider to the underlay, is there any way as an operator I can enforce packet rules that go from the VMs or from the virtual networks into my underlay? Can I say only these destinations are allowed or only these source IP addresses are allowed in the underlay then to access or to get out from into the underlay?   Yes, to spoof addresses and also to only reach specific targets in my underlay. Say, I'm building somehow a database as a service in the underlay because I do it there. And the customer, the VMs have to reach some services in my underlay but I only want to reach specific services in this underlay and not the whole network where what it can reach. I would think that for the last part of the question I would probably use some external infrastructure or rules directly on the infrastructure that you have. It's not something I would use open stack functionality for. Thank you. More questions? Okay, thank you.


This is stock number 9812. We are here at Summit Automotive in Fond du Lac, Wisconsin. You're new and used Jeep headquarters. Today we are checking out this super clean 2015 Jeep Grand Cherokee Laredo Altitude Edition. This vehicle has a 3.6 liter award-winning V6 motor. From this HD video you will be able to tell that this Jeep is extremely clean all the way around. Projector lamp, fog lamps, projector lamp, headlamps, headlight lenses are nice and clear. Brilliant black crystal pearl is the color and at this point I like to point out that we shoot all of our videos in 1080p so if you have HD capabilities on your computer tablet or smartphone device turn them on right now because it's like you're right here looking at the vehicle with me and definitely your best way to check out the vehicle without actually being here. This vehicle has the 20 inch painted alloy rims part of the altitude package and it has the Goodyear Fortera 26550R20 tires. These tires have right around half the tread left. Lots of good tread left on those tires. That rim is absolutely perfect no scuffs or scrapes. You get the blacked out grille, the blacked out Jeep lettering on the front. The hood is in excellent condition. I didn't see any dents or dings on that. Front bumper is in excellent condition as well no scuffs or scrapes. Passenger side rim is in really nice condition as well. Maybe one tiny little scrape there but nothing major and as you go down this side of the Jeep you can see just how clean the body is, how reflective and mirror like that paint is. We take these HD videos so if you are far away or even if you're close by and just cannot make the trip down you can still see the vehicle hear the vehicle and have confidence in what you're looking at before you even get here. So that when you get here there's absolutely no surprises. We saw a lot of vehicles out of state so we want to make sure that our out-of-state buyers are getting the most accurate representation possible. This back rim is absolutely perfect no scuffs or scrapes on that and the back tires have just as much tread as front tires maybe even a hair bit more. As we come around to the back you'll notice it has the dual rear exhaust with the chrome tips, backup sensors, this is a power lift gate. Back storage area is very clean you get that sunshade which is the nice feature and you also have the factory subwoofer back here. Underneath there is a full-size spare tire with all the jack tools and then it is a power gate so you just press that button and it will come on down. You get the blacked out 4x4 lettering the blacked out Jeep logo and as you go down this side of the Jeep just as clean as that passenger side no dents or dings very nice and clean for full disclosure this back rim is in excellent shape as well. You can see just how glass-like and mirror-like that paint is very clean vehicle all the way around.  There are no rips or tears on those seats. It does have side current airbags power driver seat with the lumbar. Factory floor mats throughout we have auto headlamps the tilt telescope and steering wheel power windows power locks and power mirrors. You get the nice dark wood grain trim on the dash and the door and as we hop inside here you can see that this Jeep has 27,523 miles. You get the 7-inch TFT display with the digital speedometer outside temperature display and your compass display. It has a heated leather wrap steering wheel no rips or tears on that cruise controls on the right Bluetooth and information center controls on the left. You also have your paddle shifters and audio controls on the back of the steering wheel so lots of lots of features to that steering wheel. It has the 8.4 touchscreen radio you get AM FM Sirius XM radio capabilities you got your heated seats and heated steering wheel buttons right there. This is also where your backup camera shows up and you can do all your climate controls and everything from here as well. Now this particular vehicle does not have navigation on it what I like about this radio though is you can add navigation for $595 see your sales professional at the time of purchase we can do it right here at the dealership. You get your dual climate control backup sensors eco mode and stability control right there as well. Passengers seat and carpeting very very clean no rips or tears on that seat smells very clean in this vehicle has the power sunroof up here and you do get your home link buttons for your garage door security systems and lighting systems as well as your map lights and your rear gate button. You do get 911 and assist buttons in the mirror those are features of the vehicle that you never have to pay for. Kind of neat stuff there. We'll take a quick look at the back seats and then check out under the hood. Back seats are just as clean as the front seats no rips no tears back here. It does have the latch child safety system for your car seats and you can see just how clean those seats are. We have factory floor mats back here and lastly there is a 115 volt 150 watt plug-in.  We'll take a quick look under the hood. I would personally like to thank you for checking out the video today hopefully from this HD video. You can make a smart buying decision on this Jeep. Under the hood we have the 3.6 liter Pentastar v6 motor engine base very clean runs very smooth. This Jeep has been fully safety and inspected by our service shop runs extremely smooth has a fresh oil and filter change all the fluids have been checked and topped off and it is 100% ready to go. It's been gone through mechanically for our state of Wisconsin inspection and like I said 100% ready to go. To see more pictures of this Jeep or one of our other 450 new and used cars trucks SUVs minivans Wranglers you name it we got it go to our website www.summitauto.com full pictures and descriptions of every single vehicle on our lot videos of every single used vehicle that we have all at summitauto.com. If you want to check out just our used inventory you can go to truckson41.com that's truckson41.com the number 41 check out our used inventory there and if you want to make this particular grand Cherokee years today gives a call at<PHONE_NUMBER>. Ask for one of our sales associates to make this grand Cherokee years today once again that number is<PHONE_NUMBER> thanks again for checking out the video if you want to check them or you can go to youtube.com slash summit auto remember to like subscribe and share on this video and all the videos that you see there and in fact in a second you will see a link to subscribe to our YouTube channel on your left a link to more used inventory videos like this one on your right and if you have not been to our website conveniently on the bottom a link to this vehicle on our website click those check us out and we really look forward to helping with this super clean 2015 Jeep grand Cherokee altitude right here in final act wisconsin thanks again


TEFL Athens Founded over 3,000 years ago upon the famed rock of Acropolis, Athens has evolved into an important and vibrant European city. The past is ever present in Athens, and the city thrives on its reputation as the birth place of one of the world's greatest civilizations, responsible for some of the greatest minds the world has ever known. Athens is hugely popular with tourists from all over the world, and the city's history is definitely one of the main reasons for its popularity. There are far too many attractions to list, but highlights include the famous Acropolis, the hills of Nixon-Phillipapos, the ancient Agora, the Temple of Hephaestus and the Theater of Dionysus. While in Athens you should also take the opportunity to see the traditional whitewashed houses of an Atheotica, built around charming winding steps and streets. Recent improvements to the city's transport services have made getting around Athens very easy. Buses, trams and the metro system are all inexpensive and reliable. A whole host of culinary options are also available with all the expected Western style food to be found, as well as traditional Greek and ethnic foods which are thoroughly recommended. If visiting the city's countless attractions starts to sap your energy, there are plenty of beaches where you can unwind and recharge your batteries. Varghiza, Alimos, Glifata, Caviari and the like many are all nearby, with the east coast of Attica also hugely popular with local people. In the city or on the beaches, Athens is a great location in which to take a TEFL course before starting a life of traveling and teaching. TEFL course in Athens. Our TEFL course facilities in Athens are located in the heart of the downtown area near the Athens University campus. We have three floors containing nine classrooms as well as a spacious basement area in which to plan your lessons. Crucially, your classes will contain real Greek learners of English, so our teaching practice will provide the ideal preparation for your future career in the TEFL field. Most preferences or budgets can be met with a variety of accommodation options. These include hostels, which offer private rooms and shared dorms, hotels and apartments. All of our accommodation options are centrally located and close to the TEFL training center. The course fees listed on our website are inclusive of course related lessons, materials, teaching practice, assessments, certificates, references, lifetime job assistance and more. We have no hidden costs or extra charges, so the prices you see on the site are the prices you will pay. Getting started. The first step in enrolling on our TEFL course in Athens is to complete a free application. If you are at least 18 years of age and speak English fluently, you are eligible to apply for the course. The application is brief and we will send you a prompt reply. Once approved, you will receive additional information about the course content and schedule, your accommodation options, travel arrangements, as well as payment options and more. Apply today and you will be on your way to starting a TEFL course in the home of Western democracy. However, training in Athens doesn't mean you have to stay in Greece. If you would like to move on after the course, our certificates are accredited worldwide and we can help you find a job nearly anywhere in the world.


Welcome back to NPTEL course on game theory. In the previous session we have introduced several axioms which are necessary for understanding the Shapley value. In fact we made a statement regarding the Shapley value. So let us start with the theorem and we will try to prove this. This is due to Shapley. So there is exactly one mapping phi from 2n minus 1 to rn that satisfies the axiom. This the map is given by phi iv is nothing but summation over c contained in n minus i mod c factorial n minus mod c minus 1 factorial by n factorial into the marginal contribution of i. So remember the axioms that we wanted is the following thing. The axioms are symmetry, linearity, carrierism or even null player we can say. With these axioms we need to show that this phi iv is the unique allocation rule satisfying these axioms. So let us proceed for the proof. The proof is divided into two parts. In the part 1 we show that the mapping given in the theorem satisfies the axioms. And then the part 2 we prove the uniqueness. We separate these two parts and then let us start with the part 1. This is first we start with the linearity. So what we need to show is that phi i of pv plus 1 minus pw where v and w are 2 cooperative games and p is a number 2011 then what we need to show is p into phi iv plus 1 minus p into phi iw. So this is what we need to show it.  Now look at the formula for corresponding to pv plus 1 minus pw. So this is nothing but summation the mod c factorial into mod n minus mod c minus 1 factorial by n factorial into pv plus 1 minus pw of c union i minus pv plus 1 minus pw of c. So here this c is contained in the summation is taken over n minus i. So let us basically we need to write down the values of this. So that is going to be same as summation c contained in n minus i mod c factorial into n minus mod c minus 1 factorial by n factorial. If we write it that will be pvc plus 1 minus p wc okay c is basically c union i here c union i minus pvc plus 1 minus pwc. Now I can separate these two things this term and this term and this term and this term. So if I write it separately that becomes pvc vc union i minus vc plus 1 minus p wc union i minus wc. Now because summation over the finite clemeni number so therefore this simply becomes summation c is contained in n minus i of the mod c factorial into n minus mod c minus 1 factorial by n factorial into p comes outside here vc union i minus vc that is the first term. The second term corresponds to 1 minus p into again c contained in n minus i mod c factorial n minus mod c minus 1 factorial by n factorial into wc union i minus wc.   So this shows that the mapping phi i is linear. Once we know that this is linear so let us look at the next thing the carrier axioms. Suppose d is a carrier of the game nv. Now therefore vc is nothing but vc intersection d for every c contained in n. Now we also have that v i is 0 for all i outside d and v of d is nothing but v of n. So these are all there. Now if we apply this into the Shapley value this thing in fact it is straight forward to verify phi iv is 0 for all i in n minus d that is outside d. It is directly we can use take i not in n minus d and then substitute there and then we are going to get this directly. Now of course then what we need to show now finally is that for carrier d we need to show i belongs to d phi iv is nothing but vd. Again this comes from the fact that if we sum all the phi i is this phi iv over i in n this is nothing but vn which is same as vd because we have vn and vd are same that is this thing. This actually just substitutions and we can because this also comes from the fact that this is there. So we can actually complete this thing. Of course we have missed to see one more thing is that the symmetry which we should have done first. So symmetry is basically if you really look at it in any correlation phi iv if you take it it depends only on number of players in a correlation c and whether c contains i or not it does not matter really. So therefore the relabeling has no effect on the value therefore the symmetric holds. If we really look at it whether i belongs to c or not that is all is metering because by the formula it depends on vc union i minus vc and you are taking the relations and then it depends only on the number of this thing. So when I relabel the same set of things keep coming so therefore the symmetry automatically holds. So this proves the fact that the three axioms are satisfied by the Shapley value. Now let us go for the proof of 2. So what we will do here is the following thing. The proof really depends on, let us look at the nz be a cooperative game that essence what 0 to every correlation c. So if I take that one that means we are really considering a 0 game in a sense every correlation has the 0 value then what we get here is phi i z is going to be 0. This is by the very definition of the carrier axiom. The carrier axiom tells us that if it is a 0 game then phi i z is always 0 for every i that is one point. Then the other point is that the linearity if you take any two games phi i pv plus 1 minus pw we know that the linearity says that p into phi i v plus 1 minus pw. So that means the map phi i is a linear if for example if a phi i if a phi i is a map satisfying the axioms the linearity carrier and then the efficiency the symmetry then what we have is that this is a linear map. Now therefore the mapping satisfying the axioms is linear. So now once we know that the mapping rule allocation scheme is a linear function over the space of all cooperative games then the way to see that this is a unique the Shapley value is the only map satisfying those three axiom what we can really do is that how the this allocation depends on a basis. Now let us look at the this ln let us say this denotes all subsets of n in fact the cardinality of this ln is 2 power n minus 1. Therefore r mod ln this is the is a 2 power n minus 1 dimensional space basically vector space. So this space contains all the cooperative games. So now let us consider the following simple game let us say d is a subset of n and then define n w d as following thing w d c is 1 if d is contained in c otherwise it is 0. So now how many such games are there for each subset of n we have one game like this and therefore there are 2 power n minus 1 thing. So therefore there are 2 power n minus 1 such games we now show that this forms a basis if we see that this forms a basis then we are done. So how we can show this so because these are all 2 power n minus 1 sets if we can show that they are linearly independent that means then we are done. So let us show that the set of all these 2 power n minus 1 games is linearly independent. So what it means is that if these are all linearly independent how do we what we need to show. So let us take d 1 is one correlation and d 2 is another correlation let us take it and consider the games w d 1 n w d 1 n w d 2 say d 1 is not equals to d 2. So I am just showing the 2 such correlations I take and 2 such games and we need to show that this a linear combination of these games so that is a p w d 1 plus let us say 1 minus p w d 2 is the 0 game then more than p here let us put alpha and beta then alpha is equals to beta is equals to 0 this is what we need to show. So in fact it is not really hard to verify this one because alpha w d 1 will become let us say for any c alpha w d 1 c plus beta w d 2 c is nothing but alpha into so let us it depends on multiple things so let us go back once again to define if d is contained c it is 1. So this is basically 1 let me write it the best way is to put it this is 1 if d 1 contain in c similarly d 2 c is 1 if d 2 is contained in c and 0 otherwise. So therefore whenever d 1 is contained in c and because d 2 and d 1 are not same there are certainly a subset see choose basically c such that d 1 is contained in c but d 2 is not contained in c then this particular value will be simply alpha into 1 plus beta into 0 that is alpha. Now we have assumed that if this is 0 that for any correlation this has to be 0 therefore this has to be 0 so now only thing that I need to show that such a c can be obtained but that is automatically possible because d 1 and d 2 are at different sets so we can always choose some c which is contained in d 1 but not contained in which we can see we can choose c containing d 1 but does not contain d 2 such a c we can always choose. So therefore we can say that this alpha has to be 0 if this is a 0 game similarly beta can be made 0 the same argument I will choose now a correlation c which contains d 2 but not d 1 so therefore beta has to be 0 therefore alpha w d 1 plus beta w d 2 is 0 implies alpha is equals to beta is equals to 0 that means this is a linearly independent set. So in fact I need to say something more before I say that this is a linearly independent I have proved this only for 2 sets but I can do it with any sets any subsets I can take it any number of subsets d 1, d 2, d 3, d k which are all different and then if their linear combination is 0 then I can show that the corresponding coefficients have to be 0. So therefore this is linearly independent now note that how many such games are there. So because for each subset d I can define one game and there are total that 2 power n minus 1 games therefore there are 2 power n minus 1 such games and all of them are independent the set is a independent set. Now this is a 2 power n minus 1 dimensional linear space therefore this is a basis now from a linear algebra we can easily see that any linear function on a vector space if it fixes the values on its basis then such a linear transformation is unique. So therefore to prove the uniqueness it is enough to show that the mapping fixes its values on these simple games. So that is all we need to show let us start looking at it. So choose d a subset of n we have this game w d so phi i of this game what will be this one. Now remember this is where we use a carrier axiom because d is a carrier here this we can easily verify that this value is going to be 1 by mod d. Now we can verify from the formula in theorem the value coincides with this. So basically what we need to show is that going back to this one we have this formula this formula just use instead of v use the simple game w d and show that phi i w d is nothing but 1 by mod d. Once you show that this becomes a 1 it is 1 by mod d that means this whatever this map whatever is defined this is fixing the values on the Shapley value on the simple games which is the basis therefore any linear transformation which fixes the value its values on the basis has to be unique and therefore this proves that this formula is the only map satisfying this theorem this three axioms. So that in that way the value is the unique function satisfying these things. So this is known as the Shapley value in fact it has multiple ways you can do it. Let me write it here phi i v is defined as summation c contained in n minus i mod c factorial into n minus mod c minus 1 factorial by n factorial v c union i minus v c. So basically this is a average of a marginal contribution that a player is contributing to a correlation c and any correlation c outside this n minus i can be chosen in these many ways mod c factorial into n minus mod c minus 1 factorial by n. This is the number of ways that you can choose an equation c not containing i therefore the player's marginal contribution for a correlation c is given by this and now it is weighted some expectation is nothing but the Shapley value. This is a useful interpretation which helps sometimes. So the another very important thing that we can say here is that there are under certain for certain class of games Shapley value belongs to core. So what is such games these are known as a convex games. So the convex game are satisfying the following condition. So v of d union i marginal contribution a player gives the marginal contribution of a player i is always bigger than marginal contribution of the same player for another correlation whenever c is contained in d is contained in n and of course i not in d. So that means what if you take any correlation c and another correlation d which is strictly bigger than c then the marginal contribution that the player i who is not in d is contributing to c is less than his marginal contribution to d that means for larger groups his contribution marginal contribution is higher. So once you define this convex games what we can show is that for convex games Shapley value belongs to. So we will not prove this one but this is a very important result and in the next session we will go to another important concept in cooperative games which is called nucleus we will stop with this today. Thank you.


Capcom is pledging a ton of support for Nintendo Switch now They're not naming any games specifically, but this information comes from the CEO of the Tokyo based game industry Consultancy content games that CEO that JP otherwise known as Dr. Serkin Toto He is Kind of sort of translating a future interview that's going to be published at the Nikkei, which is a Japanese publication and He doesn't obviously provide, you know the whole interview or any direct quotes, but he provides some information from the interview That is extremely exciting. So here's his tweet In a new interview with the Nikkei Capcom CEO Tujimoto just served up another Switch teaser He says the home plus portable console concept works better Than expected and that Capcom wants to port games to the switch that were not available on Nintendo consoles previously So forget about the games that we expect from Capcom We can expect the unexpected What does that mean? Well, what kind of games would we talk about? Well, there's Resident Evil 7 never released on Nintendo granted resident evil games have been on Nintendo before so we're talking about franchises Sure, but you know, whatever resident evil 7 7 we can talk about devil may cry in HD collection would be fantastic if we're being honest I know we all want Monster Hunter worlds. I doubt that's happening But you never know. I know that Capcom probably regrets not including Nintendo with that game I don't know if there's any contractual stuff holding it back Dead Rising another series no Dead Rising 4 would be nice to get maybe an Okami HD I know Okami actually came out on a Nintendo system as well after PlayStation 2. So it would be great to get that game You know resident evil 6 even would be nice Marvel vs. Capcom They just have a ton, you know, you know dark stalkers as an example as an example breath of fire I'm just going kind of going through a list of stuff here No dino crisis and Man just going through I'm literally looking at like this list of franchises and and just trying to pick up ones that that stand out to me Devil May Cry is obviously a big one for me in terms of not releasing on Nintendo platforms in the past But this is this is really good news and We know that Capcom had some Input on the switch before it came out Capcom is why the RAM was doubled in the switch before release But it felt weird that Nintendo obliged and then Capcom was kind of tepid supporting the platform and Well, it's weird You know when he says the home plus portable console concept works better than expected that phrasing could be viewed as a Really, how could you not know Nintendo gave you units to play around with you knew how well it worked But I think what they meant by that is it's more appealing than they expected They didn't say that but what I am inferring from what they are saying here It they couldn't have been surprised how well It works in terms of being a portable console and a home console because they had dev units They had input on the literal making of the system. They knew how well it worked They just didn't know it was gonna be widely accepted as a home console and a portable system and Be hitting with the age demographic it's hitting with so All of that being said You got to be pretty happy We I think one of the most disappointing things that happened at the game awards Were all these third-party game announcements that did not include switch at the end of the trailer now There were a bunch of third-party game announces that include any system at the end So those could obviously come there's also the fact that Nintendo likes to make a big deal out of getting these games Like Wolf on Sign 2 when it was announced wasn't also announced for switch until later when Nintendo announced it So some of these games that that aren't currently announced or switch could still be announced for switch say at the January Nintendo Direct or even E3, but I don't know Nintendo just kind of has like I guess it's not a bad thing to make a big deal It just it would be nice if not every third-party game was given that treatment It would be cool to get third-party games announced for switch day and date same time It's announced for everyone else, but it is what it is I guess it gives more attention to the game to Nintendo fans to announce it later But yeah, that was my one kind of caveat and That's been kind of true Capcom games like Capcom games besides like Mega Man and such or being announced and not having switch included so this is good news and This definitely bodes well for Nintendo on the whole if Capcom is doing this We know Square Enix has been a heavy supporter or plans to be a heavy supporter at least in 2018 I am heavily heavily heavily looking forward to other third-party companies deciding you know what we can't ignore switch either We need to hop on board. We need to bring games over to the platform that maybe Nintendo fans have never had or haven't had for decades It's really been since the Super Nintendo When Nintendo had full on you know unadultered third-party support from all avenues of the industry Switch still doesn't have that yet Switch you can argue switches third-party support still isn't technically any better than it was on Wii U yet in year one But what is nice about what we're seeing in year one is that it looks like third-party support will be better than we You because it looks like we're giving it a ton of third-party support in year two That did not really exist for the switch then but I don't know I'm excited about all of this You guys let me know what you think about Capcom hopping on board and what Capcom game or franchise Specifically you would like to see pop on over to the platform Personally, I'm all about that resident evil 7 and hopefully when they do make it resident evil 8 Monster Hunter world and Dead Rising those are kind of like the big three. I really want to see devil may cries Obviously another big franchise. I've never played so I suppose if it came over I would actually try it out So let me know what which Capcom game you want to see on the platform Whether it's one coming in the future or one that's already out now Anyways folks, I am a thing of a dance from Nintendo Prime and if you like this video You know what to do and if you just like the video hit that dislike button subscribe the mo Content and I'll catch you in the next one


And then we got this. I think this is going to be huge. I think 2019 really helped us better understand who we were as a company, especially on the design side that, yeah, you know what? We can take design up a notch. So here we are, January of 2019. We've got to come up with a new M-design. What are we going to do? Before, we just, we didn't really do anything in terms of kind of tactile stuff. I was talking with Jason and we're standing in front of one of the machines, hammers, going over various things. We kind of decided that, you know, having a single spline would be kind of nice. It makes it easier to find it from a tactile perspective. We took a lot more like time and like to consider the feedback that we'd been receiving from customers that said like, oh, it's kind of hard for me to find the airport in the dark and stuff like that.  So now I can modulate this thing and I have it precisely located in my fingers, in my grip, knowing where all the features are without looking at it. But it really just started kind of evolving into what the M is today. Everything still kind of holds to this form in some degree, especially the rocker. When you grip the device and you rock it a little bit, what you would see is the airport just opens and closes nice and easily, allows for a very simple modulation of the incoming airstream to cool and condition your vapor. I always kind of liken what we do to how people feel about automobiles and cars and whatnot. And everyone's, oh, that 69 Camaro or whatever people kind of hold on to what their first love was. And I think the 2019 was kind of the first love for a lot of those people, just the beginning of kind of tactility and customer suggestions. So maybe that was a lot of why, you know, most people really liked it because we started incorporating those things and listening to them. Shortly after getting into production for the 2019 M, we ended up moving a lot of our CNC machines from one side of our shop here at Gene Street to the other. So we were expanding a little bit. We were hiring some more people. We were diversifying our product line a little bit more. Seems like we're starting to run out of parking. We also gained access to another significant portion of the building that we're in. We're going to have some office space in this building. Check it out. Alright, so in here we have some cubicles, we have some accounting, some bookkeeping, some just general production management and customer service. Making it a little bit easier for all of the finishing assembly QC and at that point order fulfillment to kind of fit in the space where it was as we were growing. I think this is going to be our new studio. I guess the big news is our media department's going to move again. Is that kind of a thing, Ben? We move the media department every few months. I think we're going to grow this company this year. Seems like a good idea. Let's let's grow the company. Let's make more stuff and let's send it all over the world and make a bunch of people really happy. M launch is going to happen on March 14th or Pi Day in Spain. We did a pre-order starting it when we launched the product at Spannabas in Barcelona. Greetings and welcome to Dynavap Live from Barcelona, Spain. It's going to be a really fun episode. Been looking forward to this one for months and it's all about the 2019 M and finishing up at the end of March. I'm going to start taking pre-orders which ties into one of the most significant things I think that we're going to do this year and that's the KarmaVap. If you haven't heard of it, let me give you a quick summary. We are going to include a free vaporizer without the knowledge of any of our customers on every single 2019 M pre-order that we get from the time when we launch the M and on March 14th to the time we start filling orders and we anticipate the first people are receiving them somewhere in the neighborhood of April 1st. We were busy back here taking a lot of our older 2018 stock and lasering KarmaVap on the side of the stem and Karma onto the side of the cap and then we included one of these what we called KarmaVaps with every single one of the pre-orders and introduced the whole concept of paying it forward and sharing is carrying kind of into the vaporizer space. I feel like it's it's this next week is what we've been working for for like the last three years is to get to this point where I'm looking at the April 1st is basically like telling the whole world here we are in holy cow you know here we are almost three quarters of the way through 2019 and it has been awesome you know although things have changed a little bit and further refined you know this kind of this kind of set the path forward for for the M you know 2019 and after and I feel like we're just getting started it's such an amazing time right now to think what has this new technology enabled


So I'm not sure how old this is here, but this is a clip published by Patriot Takes of Dr. Oz on the Jimmy Kimmel shows this Jimmy Kimmel or is it the other Jimmy Jimmy found I think this is Jimmy Kimmel Anyways, so this video I think serves as more evidence that Dr. Oz is a sociopath possibly a psychopath because we just talked about this story from a couple of weeks ago where he was overseeing studies that illegally led to Animal abuse of dogs. They were dying. They were supposed to be under anesthesia before they conducted tests on them and whatnot I'm trying to recount the story from memory and that was in violation of Animal welfare laws. So, you know, he just he unnecessarily inflicted suffering on animals for experiments And it really you have to be a sociopath, you know, one of the indications That your child may be a serial killer as we see in movies all the time I'm not sure if this is actually true, but if you see them like torturing animals or killing animals That's an indication that they may be a serial killer And so we got that from Dr. Oz, right? but also this proves that This was no normal thing for a kid to do which leads me to believe that he may actually be a psychopath They'd gotten better at it or something. Well, this is this is a this is a 25 gauge needle Which is a pretty small needle. So you can't do much damage with this thing when I was little kid I'll tell you a quick story. Yeah, I was so fascinated by needles. I used to find my dad's a physician I used to find his needles in his desk, and I noticed that or okay, let me just pause it really quick here I get that he's a doctor. He's a quack doctor, but a doctor nonetheless That's not normal for kids to be fascinated with needles. I'm sorry kids may be fascinated with bugs or with dinosaurs I myself really love dinosaurs. I was also partial to video games But needles as a kid. I was horrified of needles. I remember in first grade.   Oh, well, I became a doctor because I was obsessed with needles. That's not normal I'm sorry not normal Just has those little holes in the top of the orange You know where the pores are I would put the needle through the poor and get orange juice out And one day I noticed my sister's head had little pores in it, too And I still remember I swear watching her head from behind it came And I threw it in there and it didn't go in the skull got in the way I got no brain back got nothing back my mom just whacked me that time Absolutely took me out. I have to say you might be one of the craziest people we've ever had Yeah, and first of all, I'm a little bit confused because he says that he threw the needle in like I'm picturing him like a dark one But then he says he couldn't get anything out like did you put the needle in and draw it? What's happening here and how old were you how old were you like there's no age where I find this normal?   We have to do everything in our power to change that.  Let's listen again And I threw it in there and it didn't go in the skull guy threw it in there.  He's not telling the story Very well, and it seems like Kimmel May be in disbelief look based on the look by his face. I don't know but now after seeing more from dr Oz I believe him like back then I think oh bullshit.   This is not normal. Okay. Yeah, I'm not sure super jet guy if he hurt his sister Why do you sociopaths get a free pass because TV? I guess so I mean if you literally torture dogs and You stab your sister in the back of the head with a needle and admit to it in America the Republican Party is like that's fine. That's fine That's not too out of the ordinary for you like let me just flip it for all of us Okay, let's test ourselves if there were a progressive candidate that checked all the boxes, but When it comes to their personality socially they were saying things like this Would you not at least? Give it a second thought about supporting them if they were showing us that they had some sociopathic tendencies because I certainly would Like I'm admitting that as bad as Republicans are maybe I wouldn't just not support that Progressive perhaps I would still vote for them, but I would absolutely reconsider voting for them I might just set it out or vote third-party because I don't want to Enable people like this because if they are sociopathic just generally speaking if they feel no emotions when they do bad things Then obviously that's kind of a hint that if they get elected to office they could betray you because again These are sociopaths so I would certainly rethink it right but Republicans are just like I don't care He's got a R in front of his name.  She was stroking herself I let her have her way The genital region was exposed I let her have her way


So guys I am back with another saint drill video and today I'm going to showcase to you guys how you can get this incredible weapon known as the pugnus sanctus d. It's basically a punch gun twin handed run around punching the lights out of everybody. Amazing. How's it going guys? My name's dpj and if you're doing enjoyed the video living on my crew it helps out and if you like what you see and want to see more be sure to subscribe. Okay so this is a weapon tied to the mucus of al-santo aliso the hidden history. Now there's two hidden histories you have to do to get this weapon. Now both you'll see on screen in a split second. The first one is called the meeker square hidden history and the second one is called the saint thomas uh kovachal hidden history. Again you'll see them on screen now.  Do these twice guys in separate areas for both hidden histories and you are rewarded this weapon. It gets sent straight to your weapons stash. Now what I will say is as well guys this weapon's special ability requires you to punch 500 enemies. These have to be police or other gang members. They can't be general members of the public.  I mean if it takes four hits to kill a police officer those four count towards the 500. It's as simple as that and there you have it guys. This amazing weapon go and get this thing you don't want to miss that. Guys if you enjoyed the video living a like really helps out if you feel like what you see and want to see more sensual be sure to subscribe and hopefully guys I'll see you on that next one. Square is named for Lieutenant Jedediah Meeker. I'll do whatever you want this weekend. Meeker was saved by a Spanish priest who died on the 16th. The incident depicted in this statue occurred in the vicinity of... This is getting me mad. The story of Jedediah Meeker inspired non-police relations you have now completed. I thought this place was called Circle Square.  It's the Holy Fist of God.


Oh my goodness, Bolo buddies, check it out. I have a vintage jewelry show coming your way tonight at 9.15pm Eastern Standard Time. Be sure to bookmark it right now so you don't forget to come on in and hang out. No pressure to buy. As always, hope to see you.


Brought to you by Penguin. The Canterbury Tales by Geoffrey Chaucer Translated and with an introduction by Neville Cockhill Read by Leslie Manville, Derek Jacobi, Michael Balagon, Jay Bernard, Soroka Davis, Daniel Wayman and Roy McMillan Introduction I have translated some parts of his works only that I might perpetuate his memory or at least refresh it amongst my countrymen. If I have altered him anywhere for the better, I must at the same time acknowledge that I could have done nothing without him. John Dryden On Translating Chaucer Preface to the Fables, 1700 And such as Chaucer is, shall Dryden be? Alexander Pope Essay on Criticism, 1711 1. Chaucer's Life Geoffrey Chaucer was born about the year 1342. The exact date is not known. His father John and his grandfather Robert had associations with the wine trade and more tenuously with the court. John was deputy butler to the king at Southampton in 1348. Geoffrey Chaucer's mother is believed to have been Agnus the Copton, niece of an official at the Mint. They lived in London in the parish of St. Martin's in the Vintry, reasonably well to do, but in a humbler walk of life than that to be adorned so capably by their brilliant son. It is thought that Chaucer was sent for his early schooling to St. Paul's Almanry. From there he went on to be a page in the household of the Countess of Ulster, later Duchess of Clarence, wife of Lionel, the third son of Edward the Third. The first mention of Geoffrey Chaucer's existence is in her household accounts for 1357. She had bought him a short cloak, a pair of shoes, and some party-coloured red and black britches. To be a page in a family of such eminence was a coveted position. His duties as a page included making beds, carrying candles, and running errands. He would there have acquired the finest education in good manners, a matter of great importance not only in his career as a courtier, but also in his career as a poet. No English poet has so manily an approach to his reader. As a page he would wait on the greatest in the land. One of these was the Duke of Lancaster, John of Gaunt. Throughout his life he was Chaucer's most faithful patron and protector. In 1359 Chaucer was sent abroad, a soldier in the egg, on one of those intermittent forays into France that made up so large a part of the Hundred Years' War. He was taken prisoner near Rince and ransomed in the following year. The King himself contributed towards his ransom. Well-trained and intelligent pages did not grow on every bush. It is not known for certain when Chaucer began to write poetry, but it is reasonable to believe that it was on his return from France. The elegance of French poetry and its thrilling doctrines of Amour Courtois seem to have gone to his impressionable amorous and poetical heart. He set to work to translate the gospel of that kind of love and poetry, though Romand de la Rose, a 13th-century French poem begun by Guillaume de Loris, and later completed by Jean de Meurre. Meanwhile he was promoted as a courtier. In 1367 he was attending on the King himself and was referred to as delectus valetus nostre, our dearly beloved valet. It was towards that year that Chaucer married. His bride was Philippe de Roe, a lady in attendance on the Queen and sister to Catherine Swinford, third wife of John of Gaunt. Chaucer wrote no poems to her so far as is known. It was not in fashion to write poems to one's wife. It could even be debated whether love could ever have a place in marriage. The typical situation in which a courtly lover found himself was to be plunged in a secret, an illicit, and even an adulterous passion for some seemingly unattainable and pedestalised lady. Before his mistress a lover was prostrate, wounded to death by her beauty, killed by her disdain, obliged to an illimitable constancy, marked out for her dangerous service.  All Chaucer's heroes regard love when it comes upon them as the most beautiful of absolute disasters, an agony as much desired as bemoaned, ever. Sample complete. Ready to continue?


Hello and welcome to the session. In this session we are going to discuss the following question which says that proves that cos inverse of 7 by 18 plus sin inverse of 6 by 10 is equal to cos inverse of 28 minus 3 into square root of 315 by 90. We know that cos inverse of x plus cos inverse of y is equal to cos inverse of xy minus square root of 1 minus x square into square root of 1 minus y square. If both x and y are greater than 0 and x square plus y square is less than equal to 1, with this key idea we shall move on to the solution. We need to prove that cos inverse of 7 by 18 plus sin inverse of 6 by 10 is equal to cos inverse of 28 minus 3 into square root of 315 by 90. Taking the left hand side of the expression we have cos inverse of 7 by 18 plus sin inverse of 6 by 10. Now we shall convert sin inverse of 6 by 10 in terms of cos inverse function. Let theta be equal to sin inverse of 6 by 10 which implies that sin of theta is equal to 6 by 10 in a triangle ABC if theta is the angle between the lines AC and CB. We know that sin of theta is given by perpendicular upon hypotenuse that is AB upon AC which will be equal to 6 by 10. That is if we have the value of the perpendicular AB as 6 and the value of the hypotenuse AC as 10 then we can find the value of the base CB by using the Pythagoras theorem. By Pythagoras theorem we have base BC is equal to square root of hypotenuse BC square minus perpendicular AB square that is equal to square root of 10 square minus 6 square which is given by square root of 100 minus 36. That is equal to square root of 64 which is given by 8. So base BC is equal to 8. Now we know that cos of theta is equal to base upon hypotenuse that is BC upon AC which is equal to 8 by 10. Which implies that theta is equal to cos inverse of 8 by 10. So here we have sin inverse of 6 by 10 as theta and theta is equal to cos inverse of 8 by 10. Which implies that sin inverse of 6 by 10 is equal to cos inverse of 8 by 10. So we can replace sin inverse of 6 by 10 with cos inverse of 8 by 10 in the left hand side of the given expression. Therefore the left hand side becomes cos inverse of 7 by 18 plus cos inverse of 8 by 10. Now from the key idea we have cos inverse of x plus cos inverse of y is equal to cos inverse of xy minus square root of 1 minus x square into square root of 1 minus y square provided both x and y are greater than 0 and x square plus y square is less than equal to 1. Here we assume x is 7 by 18 and y is 8 by 10 and we have 7 by 18 is greater than 0 and 8 by 10 is greater than 0 also 7 by 18 square plus 8 by 10 square is less than 1. Therefore we can write the value of the expression cos inverse of 7 by 18 plus cos inverse of 8 by 10 is equal to cos inverse of 7 by 18 into 8 by 10 minus square root of 1 minus 7 by 18 square into square root of 1 minus 8 by 10 square. Which is equal to cos inverse of 14 upon 35 minus square root of 1 minus 39 upon 364 into square root of 1 minus 64 by 100 which further gives cos inverse of 14 by 35 minus square root of 364. Minus 39 upon 364 into square root of 100 minus 64 by 100 which is equal to cos inverse of 14 by 35 minus square root of 315 by 364 into square root of 36 by 100 which is equal to cos inverse of 8 by 10 square. Cos inverse of 14 by 35 minus square root of 315 by 18 into 6 by 10 which is further solving this cos inverse of 13 by 35 minus square root of 315 by 30. Now on taking the LPN written in the brackets we get cos inverse of 28 minus 3 into square root of 315 by 90. So we have cos inverse of 7 by 18 plus cos inverse of 8 by 10 is equal to cos inverse of 28 minus 3 into square root of 315 by 90. Or we can also write it as cos inverse of 7 by 18 plus sin inverse of 6 by 10 is equal to cos inverse of 28 minus 3 into square root of 315 by 90 which is equal to the right hand side. Hence we have plus the result that is cos inverse of 7 by 18 plus sin inverse of 6 by 10 is equal to cos inverse of 28 minus 3 square root of 315 by 90. This completes our session but you enjoy this session.


We're back. This is Dave Vellante of theCUBE and we're here with Ray Wong who just wrote a book reminiscent of the famous Tears for Fear song. Everybody wants to rule the world surviving and thriving in a world of digital giants. Great. Great to see you again, man. It's going on, man. How are you? Oh, great. Thanks for coming on. You know, it's crazy. You've been crazy, but it's good to see you face to face. This is. We're in the flesh. It's live. We're having conversations and the information that we're getting is cut right. Yeah. So why did you write this book and how did you find the time? Hey, we're in the middle of a pandemic. No. I wrote the book because what was happening was digital transformation efforts. They're starting to pop up, but companies weren't always succeeding and something was happening with digital giants that was very different. They were winning in the marketplace and never in the form of if you think about extreme capitalism, if we think about capitalism in general, never in the history of capitalism have we seen growth of large companies. They get large. They fall apart. They don't have anything to build. They can't scale. The organizations are in shambles. But what happened? If you look at 2017, the combined market cap of the fangs and Microsoft was two trillion. Today, it is almost 10.2 trillion. It's quintippled. That's never happened. And there's something behind that business model that they put into place that others have copied from the Airbnb's to the robloxes to what's going to happen with like a Starlink and of course, the Robin Hoods and, you know, Robinson and Coinbases of the world. And the fundamental premise is all around data. Putting data at the core, if you don't do that, you're going to fly blind. It is. And the secret behind it is these long-term platforms called data-driven digital networks. These platforms take the ability to large memberships or large devices. They look at that effect. Then they look at figuring out how to actually win on data supremacy. And then, of course, they monetize off that data. And that's really the secret behind that is you've got to build that capability. And what they do really well is they disintermediate customer account control. They take the relationships, aggregate them together. So, food delivery app companies are a great example of that. You know, small businesses were out there that hundreds and thousands of customers. Today, what happens? Well, they've been aggregated. Millions of customers together into a food delivery app. Well, I think, you know, this is really interesting what you're saying because if you think about how we deal with Netflix, we don't call the Netflix sales department or the marketing department of the service. Just one interface to Netflix. So, they've been able to put data at their core. Can incumbents do that? How can they do that? Incumbents can definitely do that. And it's really about figuring out how to automate that capture. What you really want to do is you start in the cloud, you bring the data together, and you start putting the three A's. Analytics, automation, and AI are what you have to be able to put into place. And when you do do that, you now have the ability to go out and figure out how to create that flywheel effect inside those data-driven digital networks. These DDDNs are important. So, in Netflix, what are they capturing? They're looking at sentiment. They're looking at context. Like, why did you interact with, you know, one title versus another? Did you watch Ted Lasso? Did you switch out of Apple TV to Netflix? Well, I want to know why. Right? Did you actually jump into another category? You switched into genres? After 10 p.m., what are you watching? Maybe something very different than what you're watching at 2 p.m. How many members are in the home? Right? All these questions are being answered, and that's the business graph behind all this. How much of this is kind of related to the way organizations or companies are organized? In other words, you think about historically, they would maybe put the process at the core or the, you know, bottling plant and the manufacturing facility at the core, and the data is all dispersed. It talks about silos. So, will AI be the answer to that? Will some new database? Snowflake? Is that the answer? What's the answer to sort of bringing that data together, and how do you deal with the organizational inertia? Well, the trick to it is really to have a single-plane deal of access to that data. I don't care where the data sits. Whether it's on-premise, whether it's in the cloud, whether it's in the edge, it makes no difference. That's really what you want to be able to do is bring that information together. But the glue is the context. What time was it? What's the weather outside? What location are you in? What's your heart rate? Are you smiling? All those factors come into play, and what we're trying to do is take a user, so it could be a customer, a supplier, a partner, or an employee, and how do they interact with an order dock, an invoice, an incident, and then apply the context, and what we're doing is mining that context and information. Now, the more, back to your other point on self-service and automation, the more you can actually collect those data points, the more you can capture that context, the more you're able to get to refine that information. Context, that's interesting, because if you think about our operational systems, we've contextualized most of them, whether it's sales, marketing, logistics, but we haven't really contextualized our data systems, our data architecture. It's generally run by a technical group. They don't necessarily have the line of business context. You see what HPE's doing today. It's trying to be inclusive of data on-prem. I mentioned Snowflake. They're saying, no way. Frank Slutman says, we're not going on-prem, so that's kind of interesting. So how do you see sort of context evolving with actually the business line, who has the context actually can, I hate to use the word, but I'm going to own the data. You have to have a data to decisions pathway. That data decisions pathway is you start with all types of data, structured, unstructured, semi-structured. You align it to a business process, issue to resolution, order to cash, procure to pay, hire to retire.  Once you have the patterns, you can then figure out the next best action, and when you get the next best action, you can compete on decisions, and that becomes a very important part. That decision piece, that's going to be automated, and when we think about that, you and I make a decision, one per second. How long does it get out of management committee? Could it be a week, two weeks, a quarter, a year? It takes forever to get anything out of management committee, but these new systems, if you think about machines, can make decisions a hundred times per second, a thousand times per second, and that's what we're competing against. That asymmetry is the decision velocity. How quickly you can make decisions will be a competitive weapon. Is there a dissonance between the fact that you just mentioned speed, compressing that sort of time to decision, and the flip side of that coin, quality, security, governance, how do you see squaring that circle? Well, that's really why we're going to have to make that. That's the automated, that's the AI piece. Just like we got all types of data, we got to spew up automated ontologies. We got to spin them up, we got to be using, we got to put them back into play, and then we got to be able to take back into action. And so you want enterprise class capabilities. That's your data quality, that's your security, that's the data governance, that's ability to actually take that data, understand time series, and actually make sure that the integrity of that data is there. What do you think about this sort of notion that increasingly people are going to be building data products and services that can be monetized, and that kind of goes back to context, the business lines kind of being responsible for their own data, not having to get permission to add another data source. Do you see that trend, do you see that decentralization trend? Two-part question, and where do you see HPE fitting into that? I see one that that trend is definitely going to exist. I'll give you an example. I can actually destroy the top two television manufacturers in the world in less than five years. I could take them out of the business, and I'll show you how to do it. So I'm going to make you an offer, $15 per month for the next five years.  And if anything breaks, I'm going to return it to you in 48 hours or less with a brand new one. I don't want your personal information, I'm only going to monitor performance data, I want to know the operations, I want to know which supplier lied to me, which components are working, what features you use, I don't need to know your personal viewing habits. Okay, would you take that deal? TV is a service, sure, of course I would. $15, and I'm going to make it a better deal. For $25 a month, you get to make an upgrade anytime during that five-year period. What would happen to the two largest TV manufacturers if I did that? Yeah, they'd be disrupted.  Will you ever make money at that model? Well, here's why I'll get there, and I'll explain. What's going to happen is, I locked them out on the market for four to five years. I'm going to take 50-60% of the market, yes, I got to raise $10 billion to figure out how to do that. But that's not really what happens at the end. I become a data company because I have warranty data. I'm going to buy a company that does insurance like an Asurion. I'm going to get break-fixed data from a Best Buyer company like that. I'm going to get it safety data for Underwriters Lab. It's a competition for data. And suddenly, I know those habits better than anyone else. I'm going to go do other things more than the TV. I'm not done with the TV.  For $100 a month, I'll do mid-range. For $500 a month, I'm going to take your dishwasher, your dryer, your refrigerator, your range, and I'll do like mealy, gagging out. If you want to go down Viking Wolf, I'll do it for $450 a month for the next 10 years. By year five, I have better insurance information than the insurance companies from warranty. And I can even make that deal portable. You see where we're going? Yes, so each of those, I see them as data products. So you've got your TV service products, you've got your kitchen products, you've got your maintenance data products. All those can be monetized. And I went from TV manufacturer to Underwriter overnight. I'm competing on data on insurance and underwriting. And more importantly, here's the green initiative. Here's why someone would give me $10 billion to do it. I now control 50% of all power consumption in North America, because I'm also going to do HVAC units. And I can actually engineer the green capabilities in there to actually do better power purchase consumption, better monitoring, and also smart capabilities in those appliances. And that's how you actually build a model like that. And that's how you can win on a data model. Now, where does HPE fit into that? Their job is to bring that data together at the edge. They bring that together in the middle. Then they have the ability to manage that on a remote basis and actually deliver those services in the cloud so that someone else can consume it. All right. So if you're hitting on something that some people have talked about, but I don't think it's widely sort of discussed. And that is historically, if you're in an industry, you're in that industry's vertical stack, the sales, the marketing, the manufacturing, the R&D, you become an expert in insurance or financial services or whatever, automobile manufacturing or radio and television, etc. Obviously, you're seeing the big internet giants, those 10 trillion, some of the market caps, they're using data to traverse industries. We've never seen this before. Yes, we know. Amazon and content. You're seeing Apple and finance. Others are going into healthcare. So they're technology companies that are able to traverse industries. Never seen this before. And it's because of data. And it's the collapsing value chains. Their data value chains are collapsing. Coms, media, entertainment, tech, same business. Whether you sell me a live stream TV, a book, a video game or enterprise software, it's the same data value stream on multi-sided networks. And once you understand that, you can see retail, distribution, manufacturing collapsed in the same kind of way. So Silicon Valley broadly defined, if I can include Microsoft and Amazon in there, they seem to have a dual disruption agenda. One is on the technology front disrupting the traditional enterprise business. The other is they're disrupting industries. How do you see that playing out? Well, the problem is they're never going to be able to get into new industries going forward because of the monopoly power that people believe they have. And that's what's going on. But they're going to invest in creating joint venture startups in other industries as they power the tools to enable other industries to jump and leave Froghorn before they are. So healthcare, for example, we're going to have AI monitoring in ways that we've never seen before. You can see devices enter healthcare, but you see joint venture partnerships between a big hyperscaler and some of the healthcare providers. So HPE, transforming into a cloud company as a service, do you see them getting into insurance as you just described in your little digital example? No, but I see them powering the folks that are in insurance. They're not going to compete with their customers, maybe the way on Amazon. No, that's actually why you would go to them as opposed to a hyperscale that might compete with you, right? So is Google going to get into the insurance business? Probably not. Would Amazon maybe? Is Tesla in the business? Yeah, they're definitely in insurance. Yeah, big time, right. So, okay, so tell me more about your book. How's it being received? What's the reaction? What's your next book? So the book is doing well. We're really excited. We did a 20-city book tour. We had chances to meet everybody across the board, clients we could see in a while, partners we didn't see in a while, and that was fun. The reaction is, if you read the book carefully, there are $3 trillion market cap opportunities, $100 billion unicorns that can be built right there. Do you have a copy for me that's signed? Sorry, I'm choking on the makeup. I can get one actually in the back. Do you want one? I do. I want one. Can someone bring my book bag? I actually have one. I can sign it right here. Yeah, you know what? If we have a book, I'd love to hold it. Do you have any here as well? So it's obviously, you know, we can repeat. Everybody wants to rule the world, surviving and thriving in a world of digital giants available, you know, wherever you buy books. I'll answer your question on the next book, yeah. So, oh, are we still, we're going? Yeah, yeah, we're going. Okay, okay. What's the next book? Next book? Well, it's about disrupting those digital giants, and it's going to happen in the metaverse economy. If we think about where the metaverse is, not just the hardware platforms, not just the engines, not just what's going on with the platforms around DeFi decentralization and the content producers, we see those as four different parts today. What we're going to actually see is a whole conf… It's a confluence of events that's going to happen where we actually bring in the metaverse economy and the stuff that Nils, Nils Stevenson was writing about ages ago, and Snow Crash is going to come out real. So, okay, so you're laying out a scenario that the big guys, the disruptors, could get disrupted. Sounds like crypto is possibly a force in that disruption. Decentralized currencies, crypto plays a role, but it's the value exchange mechanisms in Algorand, in an Ether, right, in a Cordano that actually enables that to happen, because the value exchange and the smart contracts power that capability. And what we're actually seeing is the reinvention of the internet. So, you see things like Scion pop up, which actually is creating the new set of the internet standards. And when those things come together, what we're actually going to move from is, the seller is completely transparent, the buyer is completely anonymous, and it's in a trust framework that actually allows you to do that. Well, you think about those protocols, the internet protocols that were invented about 30 years ago, maybe more TCPIP, wow. I mean, and they've been co-opted by the internet giants, it's the crypto guy, some of the guys you would mention that are actually innovating and putting down new innovation, really, and have been well-funded to do so. I mean, I'll give you another example of how this could happen. About four years ago, five years ago, I wanted by Air Canada's mileage program. $400 million, 10 million users, 40 bucks a user. What do we want in a mileage program? Well, think about it. It's funded, a penny per mile, it's redeemed at 1.6 cents a mile, it's 2 cents even by magazines, 2.5 cents if you want electronics, jewelry, or sporting equipment. You don't lose money on these, CFOs hate them. They're like, oh, liability on the books, but they mortgage the crap out of them in a middle-of-ish problem and banks pay millions of dollars a year for those mileage points. But I don't want it for the 10 million flyers in Canada. What I really want is the access to 762 million people in Star Alliance. What would happen if I turned that airline mileage program into a cryptocurrency? One, I would be the world's largest cryptocurrency on day one. What would happen on day two? I'd be the world's largest ad network. Cookie Apocalypse? Go away. We don't need that anymore. And more importantly, on day three, what would I do? My ESG here, 2.2 billion people are unbanked in the world. All you need is a mobile device and a connection. Now you have a currency without any government regulation around banking, intermediaries, a whole bunch of people like taking cuts, loan sharking, that all goes away. You still only have people that are now banked and you've banked the unbanked and that creates a whole very different environment. Not a lot of people thinking about how the big giants get disintermediated, get the book, look into it. Big ideas. Ray Wong, great to see you, man. Hey man, thanks a lot. Thank you. All right, and thank you for watching. Keep it right there for more great content from HPE's Big Green Lake announcements. Right back.