YouTube, Team Keep It Clean. What's going on? It's Ingraven here with another video. And in this video, happy Thursday. I love y'all. You right there watching this, you. And that person next to you. If you watch him or somebody, I love both of y'all. And I appreciate you all's time. I appreciate you all taking the time out of your day to come through and have a little chit chat with Team Keep It Clean. Anyway, today the Ravens, they had a presser. We've been missing these pressers. I know we got a little mini presser yesterday, but we got another one today. And it started off with Mr. J.H. Not John Harbaugh, but Justin Houston. And he talked about, as far as the defense, he said they're not where they want to be at right now. So they still got some room for improvement. And we certainly know that they do in the tackling department. And by the way, they will be in pads again today to work on that tackling. Now, on that one drive against the Broncos, that padded practice did not work. But throughout the game, it certainly improved. Every other drive besides that one, they tackled a lot better. I guess they were just, I don't know what was going on. Maybe that drive, they were just testing out some new stuff. I don't know. Anyway, he said the key with the pass rush is just staying consistent and putting yourselves in pass rush situations. And what he meant by that, which he clarified, he said that's stopping them on first and second down. Cause you stopped the team on first and second down. It's like, ooh, third down, especially third and long. Oh yeah, let's go eat. And they ate. Cause they got, what, five sacks. Adolfi away had one. Bowser had two, which I didn't even know. I thought I knew he had one, but I don't remember the second one. Justin Houston had one. And I originally didn't even think that was a sack. I thought he just stopped the quarterback. I did not think he stopped them behind a line of scrimmage. I thought the quarterback had passed a line of scrimmage, but boy was I wrong. And then at that fifth sack, I just still don't remember who it was. So my apologies. Anyway, he said that it was nice to get his first sack as a Raven. And he said, hopefully there are many more on the way. And yes, I think every single Raven fan would agree with you, Justin Houston, that we hope that there are many more on the way. Now they asked about, what are you going to do when you get that 100 sack? What's going to happen? Are you going to celebrate? You said no. He said he does not intend to celebrate at all, but he said he does plan on asking who, whatever quarterback it happens against, he does want to ask, can he get the jersey? He said he don't even want the ball. He said he wants the jersey. And I was like, oh, I never heard anything like that before, but I like it. Cause this is who you got to say, like the ball for somebody who got a sack, it doesn't mean as much because the ball, it just, no, if it's your hundreds, touchdown or something like that and you'll receive a hundred Russian touchdown, whatever, okay, that's one thing. But if you're a quarterback, but on defense, your hundred sack, yeah, I can understand why he would want the jersey. And he also said that they asked him, was there ever a time when you felt like you were going to go back to the Colts? And he said in my mind, no, not at all. So well, I should have asked him if there was ever a time he thought he was going to go to the Steelers. Then that would have been a different question. But anyway, it has been working out. So that was the first JH. The second JH also spoke, and that was Mr. John Hardball, the head coach to Baltimore Ravens and Mr. King Petty. Mr. King Clapback. Cause you know, he got Vic Vangio together this week. But anyway, we've all moved on. He said that, cause he was asked about if, when did he become aware that the Ravens were close to the record, that they were approaching that Russian record to get all those running games in a row, all those hundred yard rushing yards, all those hundred yard rushing games in a row. And he said, he doesn't even remember when he first became aware of the streak. He said, maybe this year, but he said, he didn't know. He also commended the offensive coaches with how well that they've adjusted with all the injuries that they've suffered. And you know, Ravens have had a lot of injuries, especially on offense, cause again, Gus Edwards, J.K. Dobbins, Justice Hill, Ronnie Stanley, Rashad Bateman, Miles Boykin, and the list just, it goes, Nick Boyle, of course. And the list just goes on, but they've handled it. Tyree Phillips, that's another one, but they've handled it pretty well. And for them to be in the position that they're in right now, it does speak volumes to the coaching staff. You gotta give credit where credit is due. Harbaugh talked about how they'll be, they'll need to be ready for how people defend them because it can be something different every week, because he was asked about, oh, so now people are defending a passing game. They got to actually worry about the passing game. And he said, yeah, that could change from week to week. And it's true. Somebody could be on point defending a passing game. Okay, you gotta have that running game ready too. You just gotta be ready for everything. And yeah, he expressed that. He said that reporters, they kept bringing up the success of the passing game, but Harbaugh just said, yeah, that's cool, but we just trying to focus on winning the next game. So that, them just concentrating on the next opponent up. It seems to be something that's resonating throughout the entire team, but it does start with the head coach. He also asked about, and this was a really good question. He said, when Bateman and Boykin come back, how do you balance the crochet and Duvenay's playing time? And that's a good problem to have. But I'm sure the coaches and stuff, we'll see what they do. We'll see what they do.  But eventually, like that's your first round pick.  He's gonna leap frog crochet. He's gonna leap frog Miles Boykin. He's gonna be ahead of all those guys. Cause he's the first round pick.  So you want a ROI, you want that return on investment. So he's gonna be out there. When it's his time and once again, once he gets comfortable and more comfortable. Yeah, for sure. And that was that. And of course he was asked about Rashad Bateman and he gave the answer that we already know. Even though it's all sides are pointing to Rashad Bateman playing this week, but nothing has been confirmed. But he did say like, oh, we'll have to see where he's at and all that and all that. Coach talking. So, next up was LJ Lamar Jackson. The first thing he was asked about was his book. He said, his book is about dreaming.  Harb's earlier, he has said that Lamar Jackson was not 100%. So somebody said, I think it was Jeff's rebuke, but I forget who it was. They were like, so Lamar Jackson, John Harbaut just said, you're not a 100%. So what percent are you? He said 101. I said, ooh, that boy, that boy took some PR classes over the years. Cause y'all remember Lamar early on with PR, with interviews and stuff. And I mean, that happens with anybody. With anybody, the more that you do something, the more you're going to get comfortable with it. But that answer right there, I was like, all right, 101. Okay, I love it. And then that's a little bit of that little pettiness in there too, but I appreciated it so much. He said, he was asked if there was any thoughts about him wearing extra pads since all the late hits that he's been taking. Ain't nobody saying nothing about them late hits. He said, no, he's ain't trying to look like no transformer back there. But he said that all quarterbacks in the league should be protected, but football is football. He said he knows that guys get aggressive and they probably don't mean anything by it. But to him wearing any extra pads, he shut that down right away. He talked about the Money Night Football game with how he knows the fans are gonna be ready. He says, when he sees them in the street, when he sees them in the store, they already hiked in, but so as a stadium, he knows it's gonna be crazy there. And that should be a lot of fun. I'm gonna have to turn up the TV a little extra loud just to try to get a little glimpse of it. He was asked about how gratifying it is when defense is sell out to stop the run, but you can still beat them through the air. And he said he's a quarterback. He said that's what he's supposed to do. He said that's his job. He said he's happy that guys can make plays through the air too. So he's not like, again, with Lamar, he hardly ever focuses on the self praise. He doesn't focus on the self praise. They always give credit to other people. He was also asked about his outside the numbers, the improvement with him throwing outside the numbers. And they asked him, what changed? What happened? How did you work on improving that? He said, just practice, that was it. Now, somebody asked him, I think it was Jeffrey, because he asked him about the bill's playoff game. And he started, and he said that game is way out of my head. Way out of my head. That was way last year. He said, we ain't worried about that. We ain't thinking about that. We locked into this year. And like, a lot of times, I don't even think about the bill's playoff game, myself, even as a fan. So, you know, players move on a lot faster than we fans do. So the fact that me as a fan, I'm not thinking about it, then I know this is way past Lamar. So anyway, he was asked about the injuries and the fact that the team, this team isn't the team that they expected to have going in, meaning that there was supposed to be a lot of different people who were here, but they're not here due to them being hurt. But he gave credit to EDC in the front office. He said they did a great job of bringing guys in to replace people because they obviously had to do that. And again, stay ready so you ain't gotta get ready. But in this raving situation, all these injuries that they had, oh boy, there was just no way that you could be fully ready for that. But they have done a very good job of making adjustments, of making replacements. And again, just having guys that are ready. He said he was super proud of how Duvenay and Pro Shae have come along. And he said he's actually been proud of them since last year because the reporter asked him, how proud of them have you been this year? But he said he's been proud of them since last year. He talked about the kick return that Devin Duvenay got last year on Monday Night Football against the Chiefs. He talked about just watching Pro Shae, how much Pro Shae has been working. And he brought it up again. He been the first one there, last one out. And he said he's happy that Pro Shae has been getting because he's well deserved, but he's been getting that playing time. So shout out to him for being patient and continuing to work. He was also asked if he was practicing today. He said, yeah. Then he asked if his back impacted the game last week at all since it was hurting. He said, no, it didn't impact the game. He said the day that his back was hurting, they held him out of practice and then they held him out another day just so he could get a little extra rest. So he said he's fine. And then with the officials, he said when he talks to the officials about like, hey, why y'all not calling this? He said they don't even bother looking at me. I was like, ooh, these guys are guilty, but it is what it is. So Lamar is definitely not protected as a quarterback with Lamar Jackson. I feel like they treat him as if he is a running back that just knows how to throw because running back, they obviously not protected but they get the ball off on handoff. So on catches and on runs and whatever. But Lamar, it'd be one thing if just he wasn't protected when he's outside of the pocket and when he scrambles but he's not even protected inside the pocket. So just something to keep an eye on. And this is why even more by your offensive line is that much more important because they offer you the first protection that you would get. And that's protecting guys from even getting to you.  That's part of the game. It's part of the game. It's not unfortunate part of the game, but not everybody plays team, keep it clean. Now we remember this, remember in 2019 when teams just, it was just clear as day. And even like, comment like Tony Gonzalez even said it when he was like, oh man, the way to start Lamar Jackson, you gotta hit him. You gotta injure him. And I really, I remember when I saw that on TV, I was like, he really said that? He really said that. This dude just really said that. I couldn't believe it. I was like, wow. And in the 49ers game from 2019, then the builds game from 2019 where they were just blatantly hitting Lamar Jackson late. You can see it was clear as day, man. But it's the game, man. So up next after that was Marlon Humphrey. He was asked about his podcast. He said it's been going real good, but he said sometimes it's hard to talk for 40 minutes. I don't feel, I feel like I'm on the reverse end of that. It's hard not to talk for 40 minutes. So anyway, he said as a rookie, cause he was asked, aren't you shy? But when did you recently like come out of your shell? And he said as a rookie, he just kind of did what he was told. He didn't say too much. But he said the organization really promoted to be yourself. So that had made him a lot more comfortable. And now he's seen the IG live, we see him always talking, joking around, making all this noise. And he's become one of the more lovable characters on the Ravens, one of the more notable characters on the Ravens cause he is very outspoken there. Jeff asked him last year with him not playing against the Colts, does this game mean that much more to him? And he said, well, I wasn't even thinking about that. And I forgot that he ain't played last year against the Colts. I remember he was out for that one game, but I did not remember which game it was. But Jeff Zeribic reminded us all of that. Now with Anthony Averett, he was asked if Anthony Averett situation in Alabama with how he had to sort of wait his turn to play if that helped Anthony Averett in this situation. Cause it's the same thing he's having to wait his turn to play. And all of a sudden he wasn't sure, but at the same time that he wasn't surprised. He said, Anthony Averett, the way that he's been playing is no surprise to the players. He said it has been a surprise to the fans, but to the players, he said they knew Anthony Averett could do this all along. So it was no shocker to them. He talked about Carson Wentz. And he said that Carson Wentz doesn't give up on any play. And that is true. Carson Wentz, talk about the injuries and all that. You can talk about turnovers, but yeah, that dude is a fighter, straight up. He is a fighter. And he mentioned how he said he's a guy that you got to play all four quarters with. And they brought up the game last year against the Eagles. Raven's wild big. They were out to a big league. It was like, all right, we coolin', we chillin', we vibin', whatnot. And the Eagles just started coming back. They started coming back and coming back and coming back. Then it ended up being a super close game. It's like, oh man, Raven, why y'all had to do that? And yeah, it came down to the very last play, the two-point conversion. And then before, four years before that, when they played Carson Wentz in 2016 at M&T Bank Stadium, that game came down to a two-point conversion. So Carson Wentz, he plays, he's Raven's hard, man. He does. So Raven, when they play him on Monday Night Football, they gotta be ready. Again, stay ready so you ain't gotta get ready. Game preview coming up very soon, by the way. Y'all stay on the lookout for that. He talked about when he watches Lamar, Marlon Humphrey, by the way. He said when he watches Lamar Jackson, he said he's just grateful that he doesn't have to go up against him. He said he never wants to play against him. He said that the Broncos, they did a really good job of stopping the run. And he said that he was actually stat watching because he wasn't sure if the Ravens were gonna get that 100 Russian yard record in the game against the Broncos. But he said that he thought that the Ravens initially didn't get the record. And he said it's a testament to John Harbaugh and how well they've done with the team and the roster that they were able to get it. Cause it says a lot about the offensive line, despite all the injuries. He said he was even ready for them to put him out there on offense. And he said, not even to catch the ball. He said he didn't need the ball to come his way. He said he would have been willing to just go out there and block. So, hey, he can't be mad at somebody like that, man. And then he was asked about Lamar coming out to the whistle, to Omar's whistle from the wire. And he said he wasn't a fan of the wire. So he wasn't familiar with the whole whistle for when Lamar came out for the entrance. And he said, hopefully he doesn't get too much heat for that. And it's crazy because we always say timing is everything. Right when he said that, as soon as he said that, that's when Ravens internet just went out and the stream just started messing up like crazy for like the next like five minutes. So it was like in and out, in and out, in and out and it was out for a while and it just went crazy. And somebody made a joke. They said, oh, did somebody pull the wire? I really appreciated that joke so much because that's like a top tier, high quality premium dad joke. So I loved it. Anyway, Team Keep It Clean, I love y'all. I appreciate y'all. Thank you for watching. Thank you for taking the time out of your day to spend with us for these however many minutes this was. I love you, I appreciate you. I hope y'all had a really great day. I'll see you later on. We out.


I have three nationalities. I'm from Israel, Switzerland and America and I graduated today from the Social Science major in Liberal Arts and Sciences. Next year I'm going to do my master's in Social Policy in London at the London School of Economics and Political Science. I think that there's two main things that I gained from this program. The first is to get enough knowledge in enough fields so I can form my own opinions and my own worldview, which is very important to me later on in my development. And the second thing is that I learned how to think and I learned how to learn. And in my master I think that's going to help me a lot. I don't have an exact pathway but I would like to work for a consultancy organization to advise governments or the EU about social policies regarding integration, for example.


Hey, this is Brett, and this 2020 Ford F350 Crew Cab Long Box Dual Rear Wheel is stock number 13237Z. I am here at Summit Automotive in Fond du Lac, Wisconsin, near New and used heavy-duty truck headquarters. This 2020 Ford F350 has the 6.7-liter Power Stroke diesel engine, puts out 1,050 foot-pounds of torque, 475 horsepower. It's paired up with the 10-speed automatic transmission. This truck has been fully safe and inspected by our service shop. It has a fresh oil and filter change, all the fluid tab and check-in topped off, and this truck is 100% ready to go. I'm going to go all the way around in this video inside, underneath, start it up, and take a look under the hood, and give you the most accurate representation that I can of it. A gate black metallic is the color, and I shoot all my videos in 4K, so if you have HD capabilities, turn them on right now, because it is your best way to check out the quality condition options and cleanliness of the truck before seeing it in person. And for a work truck, this thing is in really nice shape. You can see the duly tub and box are in excellent condition, no dents or dings. The doors and cab all look really good. The fender is in nice shape as well. And if you like the video on how I do things here at Summit Auto, you can subscribe to my YouTube channel, which is youtube.com slash Summit Auto. Click the bell notifications, and you'll get updates on the videos I do each and every day here at Summit Auto. This one comes with the steel rims, and it has Michelin LTX MS tires. These are LT24575R17s, and they have a whole lot of tread left. On them, I would say 80-90%, maybe even more. Frame and underbody is in very nice condition. This is a one owner clean title history, clean car facts out of Illinois. Headlight lenses are nice and clear, and the front bumper and lower valance are in excellent condition. No major dents or dings on there. And the grille is in nice shape as well. I didn't see any major dents or dings on the hood, and it does come with the cab lights up top. The passenger side front fender looks really good too, and the passenger side rim is in pretty nice shape. Black, a gate, has just a little bit of metal flake to it. It's kind of a cool color. It's not as sparkly as the old Tuxedo Black. It's kind of more like the Chrysler Diamond Black. Anyways, as you go down this side of the truck, take note of how clean that body is, how reflective and mirror-like the paint is. I take these HD videos so if you are far away, or even if you're close by and you just cannot make the trip down, but you're still interested in purchasing the vehicle, you can see the truck, hear the truck, and have confidence in the vehicle that you're looking at before you even get here. So when you do get here, there is absolutely no surprises, and you can make a smart and informed buying decision from wherever you're at. Dualty tub is an excellent condition, and if this video helps you make that decision, let your salesmen know that you saw the video, that it was helpful, and that Brett sent you back rims in nice shape. Back tires are just as new as the front tires, and the frame and underbody is in really nice shape. It does have the camper package with the anti-sway bar there, and it has all the remaining factory exhaust, so it hasn't been altered in any way, shape, or form. And the underbody all looks really, really good.  Those are like actually the old F-150 step bars, that's what they look like. Coming around to the back, rear bumper is in great shape, does have the full towing package, which includes the receiver hitch four pin and seven pin wiring, and the tailgate is in excellent condition as well. Didn't see any dents or dings on there. Bed is in nice shape, no major damage back here, very light duty usage. And for full disclosure, this back rim is in about the same condition as the rest. Once again, cab looks really good, does have the telescopic tow mirrors, built in directional signals, heated mirrors, they telescope out like so, they fold in like that. Inside the XL package gives you the gray cloth interior. It does have the 40-20-40 split bench seating in the front. There are no rips, there are no tears on those seats, they are in fantastic condition. Has the heavy duty rubber floors, auto headlamps, does have cruise control on there, power windows, power locks, and power mirrors. We'll take a quick look at the back seats. Back seats are just as clean as the front seats, no rips or tears, it does have the latch child safety system for any child car seats you may have, and the fixed glass rear window. These seats fold up, and it does have the flat floor back here. Side curtain airbags, and the headliner is in fantastic condition as well. You do get child safety locks on the back doors, and the bottoms of the doors all look really good. Hop inside, check out the miles, and everything that this truck has to offer on the interior. See that this one has 58,477 miles, instrument cluster is very nice and clean. You get that built Ford Tough animation at the beginning, and they have really nice condition. Steering wheel is in nice shape, information center controls on the left, Bluetooth and audio controls on the right. There is your 10 speed automatic transmission with the optional tap shift, and this one comes with the sync 8 inch radio. You do get AM, FM, and Bluetooth capabilities on here. You also have all your different settings, you have Ford Pass Connect, Android Auto, CarPlay, where you can project your cell phone to the screen. So if you don't have a nav system, this one doesn't have the nav system, but if you have a nav system on your phone, you can project it right to the screen, such as Waze or Google Maps, and then you have nav right up on the screen, so that's a pretty sweet system as well. Stability control, factory exhaust brake, and turned out four wheel drive. Factory brake controller, climate controls, can turn your heated mirrors on, does come with a USB and a USB-C, 12 volt power point. You get another 12 volt power point, and a 110 volt, 400 watt max plug-in right there. Dual glove boxes, passenger side floors in nice shape, does come with a fire extinguisher there. And the passenger side seat, no rips or tears on there. Once again, headliner, very nice and clean. You do get six upfitter switches right there, map lights. And before we start it up, I do want to show you the tire and loading information sticker, as well as the vins sticker. Alright, we'll start it up and take a look under the hood. Starts right up, no check engine lights or anything like that other than that the doors and hood are ajar. There's your backup camera, and that is working nicely. Let's take a look under the hood. I would personally like to thank you for checking out the video today, and hopefully from this HD video you've been able to verify the quality condition options and of course the cleanliness of this truck inside and out. I think for the age of miles on it, she's in excellent condition. Under the hood we have the 6.7 liter power stroke diesel engine, 475 horsepower, 1,050 foot pounds of torque. Engine base is very clean, one's very smooth. Once again this truck has been fully safe and inspected by our service shop, has a fresh oil and filter change. All the fluids have been checked and topped off. There's your emissions sticker. And this truck is 100% ready to go. I would highly recommend this truck for make quality and condition standpoint. And to see more pictures of this truck or one of our other 550 new and used cars, trucks, SUVs, minivans, ringlers, halftones, three quarter tons, one tons. Do you name it, we got to go to that website right there, summitauto.com, full pictures and descriptions of every single vehicle from two locations, all at summitauto.com. And if you'd like to check out more HD videos, you can go to youtube.com slash summitauto. Remember to like, subscribe and share on this video and all the videos that you see there. Click the bell notifications. You'll get updates on the videos I do each and every day here at Summit AutoMotive. In fact, in a second you will see a link to subscribe to my YouTube channel on the upper left. A link to more F350 videos like this one on the upper right. Link to this vehicle on our website on the lower left and a link to one of our latest YouTube videos on the lower right. Click those, check us out. We're super excited to help you with this Ultra Clean 2020 Ford F350 Crew Cab Longbox Dually XL in a gate black metallic. Thanks again for checking out the video. Remember to like, subscribe and share on the YouTube channel. I really appreciate it. Thanks again.


That concludes the debate and the implications of the EU referendum for Scotland. It's now time to move on to the next item of business, which is a statement by John Swinney on a delivery plan for excellence and equity in education. The Deputy First Minister will take questions at the end of his statement, and there should therefore be no interventions or interruptions. I call the Deputy First Minister, Mr Swinney. Ten minutes are thereabouts, please. Thank you, Presiding Officer. This is the last week of term for many schools across Scotland. It is the end of another year of hard work for teachers, parents, children and young people, and the start of a new journey for those young people as they embark on the next stage of their lives. Today marks the start of a new journey for Scottish education, a journey that will ensure that we realise our ambition for excellence and equity for every child and young person in Scotland. In its review of Scottish education, the OECD found that achievement in Scottish schools is above the international average in reading and science, that attainment is improving, that Scotland schools are inclusive, that our children are resilient and have positive attitudes towards school. Those are strong foundations for Scottish education. They are a testament to the bold reform of curriculum for excellence and the energy applied by many to ensure success for Scotland's young people. The OECD also advised us to continue to be bold, and it argues that the OECD review team set out the challenge at the education summit for us not only to remain ahead of the global curve in education but to become the curve that others will refer to around the world. It urged us to move from a culture of judgment to a system of judgment that delivers for every child and young person across our country. We must ensure that every child, no matter where they are from or how well off their family is, has the same opportunity and an equal chance to succeed. I am pleased to share a tangible and deliverable plan for delivering excellence and equity in Scottish education with Parliament today. The plan covers three themes. The first and overriding theme is our shared commitment right across Scottish education from early learning and childcare through school and in our colleges and universities to close the attainment gap between children from the most and the least deprived backgrounds. The Government will be relentless in our efforts to make this happen. For most children, our system already delivers. Our young people achieved record exam passes last year and only last week statistics show a new record in the percentage of young people leaving school for positive destinations. Those same statistics also showed that we continue to make progress in narrowing the gap in attainment, but narrowing the gap is not the same as closing the gap and good is not the same as great. Closing the attainment gap is not a choice but an imperative to creating a fairer and a smarter Scotland. We will start with a programme to transform children's early education and to ensure that it links cohesively with when children start school. The focus on literacy in P1 to P3 will be designed to close the vocabulary gap and from September this year school inspection and self-evaluation will focus more directly on progress to close that gap. From the new school year, funding for the challenge authorities and schools will double to £50 million and will be extended to secondary schools into the bargain. We will work with those schools and communities to develop and implement programmes and activity to enable and encourage families' involvement in learning. We will encourage action in all schools through the increased investment announced today in the innovation fund and from 2017-18 through an additional £100 million that will be allocated directly to schools. In order to focus our efforts on closing the gap, we must first of all be able to identify precisely where the gap is. We will use the new data that will become available through the national improvement framework to identify the attainment gap in P1, P4, P7 and S3 and at school and at local authority level and agree targets to reduce that. We will focus our collective efforts where they are needed most and school inspection will focus more directly on closing that gap. The second theme of our plan is the need to ensure that our curriculum, applauded by the OECD, can be delivered in a fashion that our teachers are free to teach and that our children have the opportunity to learn. We will put in place clear, simple statements that give teachers confidence about what curriculum for excellence does and does not expect of them. We will declutter the curriculum and will strip away anything that creates a necessary workload for teachers and learners. I have instructed Education Scotland to prepare and publish a clear and concise statement of the basic framework within which teachers teach. This will be published in time for the new school session in August. Also by August, Education Scotland will provide clear practical advice on assessing achievement in literacy and numeracy, making clear the expected benchmarks for literacy and numeracy for each level of curriculum for excellence. By the end of the year, Education Scotland will provide similar advice on the achievement of curriculum levels in every curriculum area across broad general education. That will allow teachers to make sure that their learners are on track and are developing the range of skills that they should be able to command. We will also significantly streamline the current range of guidance and related material on curriculum for excellence, and by January next year a much simpler set of key resources will be available on the National Improvement Hub. We will carefully consider the ideas contributed by teacher associations and other partners in education and take forward a new programme of reducing workload in schools. I will directly oversee this activity and will test these proposals' effectiveness with a panel of teachers to ensure that their voice and experience informs what we take forward. I have instructed Her Majesty's inspectors to carry out a focused review of the demands placed on schools by each local authority in relation to curriculum for excellence and will receive their recommendations by mid-September. The SQA, Education Scotland schools and local authorities must deliver the commitments that are made in the first report of the assessment and national qualifications group. The SQA will be expected to deliver the actions to simplify and streamline qualifications, set out in the 51 subject reports and consult on how best to streamline its course documentation for the national qualifications. I will meet the chief examiner for Scotland on a monthly basis to ensure that the SQA is delivering its commitments. We will also reconvene the assessment and national qualifications group, which I will chair, to further explore what more could be done to reduce workload associated with assessment and the new qualifications as quickly as possible. This work to declutter CFE is key to freeing up teachers' time to deliver the broad general education at the heart of our curriculum in a way that enables all children to benefit and to succeed. The third theme that we focus on in the plan is the need to create the right structures to encourage and enable everyone to participate fully in school life, children and young people, parents, teachers and communities. Doing so represents the biggest opportunity to improve the outcomes and life chances of all children and young people. In September, I will launch a review of governance alongside the programme for government. It will explore all options and avenues to ensure that we create the right balance of autonomy and accountability in our education system. It will consider the changes that are needed to education to empower our teachers and schools, seek to devolve decision making and funding to schools and communities and support the development of school clusters and new educational regions. At the same time, we will develop proposals for a fair and transparent national funding formula to ensure that resources go where they are needed most. Schools are the building blocks of our education system, but that is not reflected in our legislation, with responsibility for delivery and raising standards currently resting mainly with education authorities. We will introduce an education bill in the second year of this Parliament to address this issue. Delivery of each of those themes requires leadership at all levels and by all involved in Scottish education. Teachers are key to our ambitions and investing in their skills, knowledge and confidence will create the right culture of empowered leadership. We will invest £1.5 million over the next three years to support up to 160 aspiring head teachers every year to benefit from the inter-hedship programme and nearly £1 million this year in masters-level learning for teachers. We also need the right people with the right skills in the right places at the right time. We will ensure that new teachers start their career confident in their ability to raise attainment in literacy and numeracy, as well as nurture children's health and wellbeing. We will expand distance learning initial teacher education models, develop a Scottish masters programme that focuses on the vital transition phase between primary and secondary, and we will introduce a new route to encourage the highest quality graduates into priority areas and subjects. The delivery plan sets out the actions that this Government will take over the course of this Parliament to free up teachers to teach and empower our schools to deliver excellence and equity for all. The reforms that we plan are substantial and our ambition is clear. We will deliver on the basis of evidence whilst also being unafraid to innovate and find our own solutions. We will invest and seek to transform our education system and at every step we will engage building on the education summit that has brought together key partners to share ideas for change by establishing a teachers panel and by putting in place the International Council of Education Advisers. Closing the attainment gap and raising standards for all, delivering excellence and equity for all of our children and young people must now be our shared national endeavour. This plan is focused on doing exactly that. I thank John Swinney for the prior sight of his statement. Both he and the First Minister have been very clear in recent weeks that equity is one of the principles that underlines everything that they are trying to do with education, and I think that that is a good sign. I keep my three questions to that principle of equity. In the first instance, could the cabinet secretary expand on exactly how he intends to disperse the funds that will be used to assist the most vulnerable pupils? In his answer to my parliamentary question last month on 24 May, he said that the details of that will be forthcoming in the next few weeks, but I do not actually see those details in this statement. Secondly, the cabinet secretary knows that there are many parents who are very anxious about the subject choice issue, the fact that different schools are not offering the same number of subjects of national 5, and indeed that some key subjects are not actually being offered at all. The cabinet secretary rightly sounded very concerned about that education question, so I wonder if he could tell Parliament what he intends to do to address that. Thirdly, the cabinet secretary rightly says in his statement that the early years are absolutely crucial. Can I ask again where the equity lies when half of Scotland's young children do not actually have the same level of nursery entitlement as do others? Does he intend to change that? In relation to the three points that Liz Smith has asked me on the question in relation to the distribution of funds, the Government has already made allocations in relation to the support for local authorities and for schools driven by assessments of levels of deprivation. My objective is to make sure that as we roll out the further stages of the attainment fund that we ensure that the funding reaches the areas of the country where we see the existence of deprivation and that we are able to tackle that directly by the investment that the Government makes. In relation to our second point on subject choice, in a sense that this question gets to the heart of decision making within individual schools because the choices that I think are arrived at on this question are large. They are arrived at individual schools and I know that Liz Smith is a supporter of individual schools being able to take their own decisions. I think that there is a fine balance to be struck and I am wrestling with this question on a constant basis on all of my judgments about education, about the extent to which I should set out as the Education Secretary what I think should happen, or whether I should leave that to the professional judgment of educationalists in every part of the country. I point out respectfully to Liz Smith that there is a contradiction in the argument of complaining about the availability and range of subject choices arrived at by individual schools and then demanding that schools be empowered to take those decisions. I am still reflecting on that issue because I am determined to make sure that young people are able to have a broad range of choices to enable them to fulfil their own potential. Finally, on the issue of early years, the Government is making provision for the entitlement of young people to have access to the hours of early years education that we have committed to. That is the commitment of the Government to 600 hours that is being provided for in the local authority finance settlement. Obviously, if individuals are not gaining access to that entitlement, that is an issue that the Government has to address. As we look at the expansion of early years education, my priority is to make sure that that is provided in a way that addresses the needs of families around the country to ensure that every young person that has that entitlement is able to get that entitlement. Those judgments will be at the heart of the delivery mechanism and the models that are taken forward by the early years minister and myself. The Deputy First Minister for Advanced Sight of His Statement knows that we share its ambition at excellence and equity in Scottish education. There are things to welcome such as listening to teachers on the need to declutter and an acceptance that the Government has not yet listened enough to teachers with regard to reducing workload. There are other things here that remain somewhat ambiguous, however. For example, can the Deputy First Minister explicitly promise that any new route into teaching will not compromise the all-graduate, fully professionally qualified and registered teaching force that has served us so well for so long? The thing that we really need to hear is, of course, absent. There is no commitment here to protect education budgets. The £150 million attainment funding from 2017-18 has to be set against the £500 million taken from local authority budgets this year alone, with worse, presumably, to follow. We could believe so much more in all of the promises of this delivery plan if the Deputy First Minister would just commit to protecting education budgets. Will he do that? First of all, I welcome the recognition from Ian Gray about the Government's agenda on addressing the workload of the teaching profession and on decluttering the curriculum. I have a very clear motivation in addressing that. It is to enable teachers to be liberated from the unnecessary bureaucracy that has grown up over the years of which there have been commendable attempts to try to address that, but they have not been carried through, in my opinion, fully on the ground. That is why I have asked Her Majesty's inspectorate to assess the degree to which the bureaucratic burdens that were asked to be removed by the tackling bureaucracy report have in fact been removed by local authorities, because I want to be persuaded that that action has in fact taken its course. There will be a further programme to undertake that, with the express purpose of enabling the teaching profession to be able to concentrate on learning, which will be one of the most significant contributors that we can have to improving attainment within our schools and tackling the attainment gap by liberating the teaching profession to concentrate on teaching. In relation to his two specific points on the issue of the registered teaching profession, I simply say to Mr Gray that we will look at inventive and innovative ways to enable individuals to enter the teaching profession, and I would have thought that that would be something that he would support, given the fact that he is not at the back of the queue when complaining about teacher shortages within Scotland. We will deploy innovation and flexibility, but there is no point in putting teachers into the classroom if they are not of sufficient quality to be able to deliver the teaching that we expect of them. The importance of quality registration is absolutely fundamental to the process, but we should not allow that commitment to any way to blinker us from contemplating innovation about how we encourage and motivate individuals into the teaching profession and to secure those routes. In the initial point about finance, it is not for the first time that Mr Gray and I take different views about public finances. Local authority budgets were not reduced by £500 million in this financial year. Mr Gray knows full well that some of that sum of money that he talks about is in capital budgets that will be invested in local authorities in later years. I went through ad nauseam about those points before the election with Mr Gray, and we have had the election, so we have aired all those issues and they have been considered by the public. What I would hope that Mr Gray would acknowledge from the delivery plan is the very significant funding that the Government is putting in place through the Scottish attainment challenge to support the investment in education in Scotland. That is a very substantial investment in education for our young people in Scotland, and I would have thought that Mr Gray would have supported us in the investment that we are making. I repeat that we have short, sharp questions, and I will also say short, sharp answers. I call Jenny Gilruth to be followed by Ross Thomson. I begin by putting on record that the First Minister has appointed me as the parliamentary liaison officer for education, and I look forward to working with colleagues across the chamber in this capacity. To ask the cabinet secretary what steps are being taken by the Scottish Government to ensure that local authorities are working to tackle unnecessary bureaucracy in schools. One of the comments that I made to Mr Gray was that there had been some good work in formulating plans to reduce bureaucracy and workload, particularly by the tackling bureaucracy report that was produced in 2013. I have asked HMI to look into the degree to which the recommendations of that report and other examples of activity to reduce the administrative and bureaucratic burdens that are placed on schools by local authorities have in fact been translated into practice. That is one example of how I intend to do it. There will be inspections undertaken of all local authorities once the new term commences, and I will be in receipt of the recommendations of that process by mid-September. That is not to single out local authorities. I recognise that Education Scotland and SQA have got to contribute to this process of reducing workload and administrative burden, and I will make sure that they do so likewise. On page 3 of the cabinet secretary's statement, third paragraph on the bottom, required changes to empower teachers and to devolve powers are cited. Can the cabinet secretary tell the chamber what aspects within the current system does he feel are limiting the autonomy and also the accountability of teachers in schools and therefore need to be changed? I want to make sure that teachers are free to make the professional judgment that we rely on them about the educational progress of young people within our schools. I want to make sure that we have in place proper accountability to make sure that we can assess the progress that young people can make. However, I do not want that bureaucracy to be intrusive on the teaching capability and the teaching performance that we depend on. Frankly, that is out of kilter just now. What is required of teachers in terms of reporting and monitoring of performance in some parts of the school curriculum is duplicative. That needs to be stripped out and we need to be able to see and have clear line of sight about the progress that young people are making through their education system. We need to know that once, we need to know it authoritatively, we do not need to know it multiple times and unauthoritatively, if that is a word. That is what I am focused on creating. That is what the delivery plan is aiming to achieve to give us that assessment of the progress that young people are making but giving it to us in an authoritative way that is informed by teacher judgment. I welcome the review of governance announced and look forward to the education and skills committee playing its part in this. In terms of review of governance proposals to develop school clusters and our ambitions to empower teachers in schools, can the cabinet secretary outline what evidence can we learn from within Scotland and beyond? First of all, I look forward to working with Mr Dornan as the chair of the education committee. Indeed, we will have our first encounter tomorrow morning, to which I am looking forward. I am very happy to engage constructively with the committee in informing the agenda. I have committed myself in this process to engagement. The education summit was a very valuable and worthwhile exchange of views. Within that summit, we heard a range of international experience and input, which has been of benefit in formulating our views. I will draw on that as we come to our conclusions around the conduct of the governance review, which I will consult extensively about with local authorities, with the professional associations, with parents and with young people in Scotland. The appetite for new structures signals a reduced role for councils in the delivery of education, and I draw attention to my register of interests as a elected member in South Lanarkshire Council. Can I ask the cabinet secretary if the public can expect the schools version of Police Scotland, or is the Scottish Government more attracted to the model being promoted by organisations such as the Hometown Foundation? I can say to Monica Lennon that we have set it out in the document. The Government believes that, in a public education system, we believe in a mutual education system that operates in the interests of members of the public. We will formulate a model that is appropriate to the needs of Scotland. One that results in the empowerment of schools and headteachers enables greater decision making to be undertaken within the school to adjust to particular circumstances. Why is that important? It is important because, from the evidence that I have seen around the country, where schools are able to take particular decisions that meet the needs of young people in their locality, they are able to more actively and effectively take decisions that are correct for individual children. We are just running through all of our approach to education, and there is a requirement to get it right for every child in Scotland. We will discuss more widely with Parliament, with the committee and with wider stakeholders in this debate the details of how that will be taken forward. I welcome the statement from the cabinet secretary today, but the cabinet secretary will be aware that we need to encourage more men into early years and general teaching, more teachers from the BME backgrounds and more women into leadership positions. How will he endeavour to improve the diversity of our teaching profession? We have to make sure that we broaden recruitment into the professions, and the question of diversity within the education profession is a very significant issue. We will see that in different areas. I answered a parliamentary question last week, which showed a significant level of underrepresentation of women in senior educational professional roles. That is a question that I will take forward with the General Teaching Council of Scotland, and I will take forward my wider discussions around the development of the profession to make sure that we have a more representative teaching profession able to meet the needs of all sectors within the country. I thank the cabinet secretary for early sight of his statement. Positive destinations for young people with additional support needs remain below the rate for those without additional support needs. Will the cabinet secretary consider making support for learning a promoted post as part of the drive to reduce the attainment gap? That would help to tackle inequality of outcomes for pupils with additional support needs, and it would enable progression for the most skilled teachers who want to remain in our classrooms. The key point in responding to Alison Johnson's question is the importance of ensuring that every child is able to receive, every young person is able to receive the appropriate educational support and service that meets their requirements. So, if they have additional support needs, the importance is that those additional support needs are respected. What I think is becoming increasingly clear in the secondary sector is good work that has been undertaken to align the thinking behind the developing Scotland's young workforce report to the work of schools, and that is better meeting the needs of young people with additional support needs. We need to make sure that that thinking is reflected right through the education system. Rather than giving a specific commitment to the point that Alison Johnson has made today, can I give the general response that the Government is focused on trying to ensure that every young person receives the educational support and assistance that they require to meet their needs and that, on that basis, there is a greater chance of fulfilling their better outcomes and their expectations? Tavish Scott, followed by Fulton MacGregor. Thank you, Presiding Officer. Can I thank the Cabinet Secretary for the courtesy of his statement in advance? Could he clarify how reducing the excessive workload on teachers that he's already mentioned can happen when he has described national assessments to be measured by his Government on pupils in P1, P4, P7 and indeed S3? Can he confirm whether the national levels pupils will be expected to pass for literacy and numeracy through school will be based on teacher judgments? On the first point, almost all local authorities already undertake some form of testing system through schools, but the challenge that we have, the difficulty that we have is that the data is not comparable to enable us to assess relative performance and, therefore, to tackle improvements in performance where that is required. I am not in any way suggesting an increase in the workload on teachers. I am talking about replacing a testing and assessment system that is in place within individual schools already. On the second point, it is important that, as we take forward the assessment approach, we acknowledge that we are relying on teacher judgment to be informed by the outcome of testing and assessment. Ultimately, we will be dependent on teacher judgment. That is the foundation of curriculum for excellence, but we want that to be better informed by the conclusions of the assessment process. Can the cabinet secretary ensure that the investment and focus in closing the attainment gap also delivers for a looked-after and accommodated young people? Mr MacGregor makes an important point, because, as the data all demonstrates to us, looked after children are the young people who have the greatest challenge in securing good outcomes. It is therefore an essential focus of the attainment challenge to address that point and to ensure that we meet the needs of those young people and to deliver better outcomes for them. That will lie at the heart of the delivery of the attainment challenge. Of course, the Government will monitor and assess the progress that is made as we take forward the improvements as part of the attainment challenge. Can I thank the cabinet secretary? I apologise to the three members I was not able to take. The next item of business is consideration of a parliamentary bureau motion. I would ask Joe Fitzpatrick to move motion number 585 on substitution of committees. Formally moved. The question on this motion will be put at decision time, to which we now have come. There are three questions to be put as a result of today's business. The first question is that amendment 601.1, in the name of Ruth Davidson, which seeks to amend motion 601, in the name of Nicola Sturgeon, on the implications of the EU referendum for Scotland be agreed. Are we all agreed? We're not agreed. Members will now move to vote. Members should cast their votes now. The result of the vote on amendment 601.1 is as follows. Yes, 34. No, 68. There were 21 abstentions. The amendment is therefore not agreed. The next question is that amendment 601, in the name of Nicola Sturgeon, on the implications of the EU referendum for Scotland be agreed. Are we all agreed? We're not agreed. We will move to vote. Members should cast their votes now. The result of the vote on motion 601, in the name of Nicola Sturgeon, is as follows. Yes, 92. No, 0. There were 31 abstentions. The motion is therefore agreed. The next question is that motion 585, in the name of Joe Fitzpatrick, on the substitution on committees be agreed. Are we all agreed? We are all agreed. That concludes decision time. We will now move to members' business.


update. Okay, folks, Larry Pesaveno, mid afternoon update for TFNN. And we've got the stock markets rocking and rolling again. The Dow Jones up another 250 points. NASDAQ up 150. And we've also got the S&P up about 25 handles, actually about 20 handles right now. So it's actually doing pretty good here. I know you guys can hear the clock on the wall. It must be 10 o'clock here in Las Vegas because that's where we are. I've shown the chart here of the Dow Jones. Many folks, it has exceeded the 1.618. Now, I'm going to show you the chart of the NASDAQ because it's made the ABCD pattern. It had been lagging up until this point. And then also the S&P we had to sell today at 48.92 with a 10 point stop. And so far it's slightly profitable at the best. But those are also completed patterns that I'm going to go through when we finish up this first part of the show here to see where we are. This is the 22nd of January. Needless to say, everybody knows that. And this is the last day of all those cycles that I've been watching since December the 28th. We had that big top for four day eight day correction. And that's basically it. But this is the end of the bullish patterns that started on October the 27th as I see it looking at the patterns of what we're watching. This should be the end of it. That's why it's so spectacular to the upside. And I'm not surprised because this was a day coming in. In fact, when I did the video this morning, real early, as a matter of fact, it's such a challenge here to try to get really good, you know, connections here in these hotels. I'm staying in a resort place. It's not a, you know, not the Bellagio or any place like that. And so they, they have to take secondary data. At least that's what they told me. And they can tell me anything I'd have to believe them. But that's what the problem was. I can only use the internet from two in the morning, like, like I'm used to from two in the morning till about six and at six in the morning, boom, it's gone. I mean, the people are starting to log on and then you just have to share it. But I'm going to get that taken care of here in the next day or so. Anyway, that's what we're watching here today. So we want to pay attention. Norm Winsky, Astro Trends will be our guest today. And we'll have some fun with Norm when he comes on in half hour. Stay tuned, folks.<PHONE_NUMBER>.


Hello friends and welcome again to another session on Gems of Geometry. Today we are going to take up another very interesting theorem and the theorem's name is Mineloss's theorem. Now Mineloss is a philosopher or a mathematician. He was in Alexandria around 180 in around 180 and you know that Alexandria was part of Greek Empire that time right.  Now what does this theorem say? This theorem basically deals with if I have to say a co-linearity of points co-linearity of points. So what I have done here is I have first done the construction and first let us understand the theorem then we will verify it then we have to prove it. So what does the theorem says? The theorem says that if points x, y, z so if you can see this is point x here this is point y and this is point z on the sides b, c, c, a, b so you can see b, c and hence you have to extend if it is not lying on that line.  So if these are three points and if they are co-linear so I have mentioned that if they are co-linear then what will happen? So the ratios b, x upon c, x right. So this is b, x upon c, x first one. Then c, y upon a, y so this one again c, y upon a, y and a, z upon b, z. So you can see there is an order I am going from b to x to c then from c to y to a and then from a to z to b right. So in only one case I have to come back otherwise I do not need to come back but what I mean is I go to b from b to x I go like that and I have to come back towards c is not it? I have to turn my direction change my direction but otherwise if you see c to y, y to a and a to z and z to b I am not changing direction. Later on we will also see whenever change of direction is concerned we attach a minus sign to represent that you know there is one change in direction all the time or it will be in other case we will see when the line does not intersect the sides internally and all of the and the line intersects externally then all of them in all the cases we have reversal of direction. So why do not I just show it to you? So what I mean is let us say if I have this line half you know around it like that so if you can see it is it is going out right so let me just yeah so what I mean is look at this line now in all the three cases it is externally dividing right so this line is dividing the three extended sides of the triangle externally so you can see the point x is outside on extended v c point y is on extended c a and point z on extended a b. So in all the three cases here I have to change the direction what do I mean so let us say if I go from b to c or sorry x then I come to x to c then again from c to y I have to go and then come back to a and then again I have to go from a to z and come back to right so there are three times I am changing the direction so hence three negative sign so all the time you know you know I am changing the direction so you will be changing either three times or simply one time you cannot change direction only twice so meaning thereby this line is either going to cut two lines at time or cut none at all so that is the thing let me just change the position of this line to show you what I mean so therefore either only you know it is cutting extended lines now it is cutting the two lines or two segments of the triangle internally and one one here externally is it and there is no other possibility right no other possibility again here two internal one external and then again all three external right so three external one external or three external three external one external three external so there is no two external cutting right so this is the scenario now what I am going to do is I am going to verify this so that it is indeed one so you can see it has just changed its location so let me put it here now let me pin it okay now it is not going to change the position so if you if you see I am switching on the dimension and let me bring it back so all these are the dimension I have switched on the dimensions you can see the ratios are indeed coming out to be one right indeed coming out to be one so how do we prove it let me just put it here and let me put it here okay so wherever you want to change it the value is always one so that is mathematically calculated here now let us prove this for this let us declutter it so I am taking away all the dimensions let it be here and then I am doing some construction so what construction I am going to do I am going to drop perpendicular like that so you can see cf is perpendicular to the line and ag is perpendicular to the line and bz or bh is perpendicular to the line okay now don't get confused let me just take this point here and this point is z here okay now how do we prove this here and the proof will be pretty simple so now let us talk about its proving so how and what should be the approach for the proving guys so what are we going to do we are going to take help of similar triangles so let's discuss its proof in detail okay so you can see we have done some construction where cf is perpendicular to the line ag is perpendicular to the line and bh is also perpendicular to the line so let me mark the perpendicular okay now in triangle or rather I can say triangle xfc look at the triangle xfc and it is similar to triangle x h and b yes or no why because x is a common angle to both the triangles so xfc is one and x h and b is the other one so x is a common angle and there is there are two 90 degrees so here is one and the other one is here this one so both are 90 degrees so hence by a similarity criteria right it is there that these two triangles are similar if the triangles are similar then what can I say about the ratio of the sides we know and I would write if I write let's say xc or cx cx by bx what should I write cx by bx is equal to so this is cx this is bx whole so it will be equal to cf by cf by bh is it it cf by bh so these are this ratio will hold then similarly let's see triangle agy and yfc these two triangles okay so I am saying triangle agy is similar to triangle c fy why because again if you look at angle a angle angle y rather this angle y and this angle y is same vertically opposite and this is 190 degree here and another 90 degree here so again by a similarity you can say that these two triangles are similar so hence you can say what you can say ay by cy ay by cy is equal to ay by cy is equal to ag by cf right similarly isn't it so we got ay by cy is equal to ag by cf now third one triangle look at this triangle which one so let me shed it for you so this one this one and this small triangle here right so in this triangle if you see triangle let us try say bhg is similar to triangle a sorry bhz not g my bad so this is bhz here so z is hidden if you if you look at it this is this is z this is point z so bhz is similar to agz agz and hence we can say that bh by or we can say rather um az az by bz az by bz is equal to az by bz az by bz is equal to ag by bg bh sorry bh ag by bh right now these are the three ratios which we get and let's now say that this is nothing but if you reciprocate you will get bx by cx is equal to bh by cf no doubt about it and this is in this is also if you receive reciprocate you will get cy by ay is equal to cf by ag is it not so let us say this was relation number one this is two and this is three as well okay now what do you need to multiply one two and three together so lhs if I product them all I will get bx by cx into this that is cy by ay into az by bz so this gives me the left hand side of the desired result vx by cx cy by ay az by bz now let's multiply the rhs of all so this is bh by cf into cf by ag by now you would have realized that cf is getting cancelled let's see the others are getting cancelled or not so ag by bh is it so beautiful so this is cancel all are canceling each other out so what is left we are left with one right so hence we can see that if there are three points which are collinear and the line is cutting the triangle like that then the ratios in which the points divide the line whether internally or externally the product of all the three ratios will always be one so this is how we proved it actually the converse is also true and the converse can also be stated as if there are three points such that this ratio holds then the three lines are collinear right so hence millenosis theorem can be used to prove collinearity of points right and the proof for the converse will also be very easy so what you need to do is you consider x and you join x and y and let it be produced to some point here z dash okay and then by you know again by contradiction you can always prove that z and z dash will coincide so we will look at the proof in the next session but this is how millenosis theorem can be proved right so millenosis theorem as I told you can be proved or this is this is a theorem for related to the collinearity of points and it's and their association with the triangle okay so I hope you understood the theorem and its proof let's move on to the next proof thank you


SssssssssssssssssssssssssssssssssssssssS That's drunk! For me when it came to Final Fight it was Love at First Sight I barely saw this game in the arcades, but my older brother insisted on the game being the greatest thing ever So when we got our Super Nintendo in Christmas of 1991 Not only were we lucky enough to get a Super Nintendo console with two controllers and Super Mario World But we also got the SNES port of Final Fight And man, oh man, I was in love Huge sprites kicking the crap out of other huge sprites with some great-looking backgrounds and sound design, it was perfect. It wasn't until much later that I learned the arcade version was about a hundred times better, but at the time, I didn't care. I just liked my SNES Final Fight, despite it lacking multiplayer and an extra playable character. Meanwhile, in NES Land, which I had completely left behind at that point, Capcom quietly released Mighty Final Fight in July of 1993, a spin-off of sorts, similar to how Konami created Kid Dracula for Game Boy as a spin-off of Castlevania. 1993 is very late in the NES lifespan to the point that, at the time, this game felt like taking a step backwards, like why the heck would I bother with an 8-bit Final Fight when I've got the SNES Final Fight already, with Final Fight 2 on the way?  As you can see, all the characters are SD or Chibi-style, and you can play as Cody, Hagar, or Guy, so right away, we've got an improvement over the SNES Final Fight. You can also switch characters if you have to use a continue, so that's cool. Sadly, however, Mighty Final Fight is single-player, but still, it's a fast-paced and satisfying beat-em-up that ranks among some of the best on the NES, right up there with stuff like River City Ransom and Battletoads and Double Dragon. You get 6 lives and 3 continues to get through 5 levels with no saves or passwords. Only 5 levels seems kinda short, but this game's biggest strength is the pacing. This playthrough absolutely flies by without overstaying its welcome, with lots of detail in the settings and backgrounds, and plenty of different enemies to take out, many of which having hilariously goofy expressions as they get the crap kicked out of them. And each character can do 5 different moves, including Hagar with his infamous flying pile driver. What's not to love here? There's weapons like knives, mallets, and throwing stars, and there's even a leveling system. Once you get your character to level 4, you unlock another special move, and each character has their own. For Cody, it's a Hadoken-like fireball called a tornado sweep. Guy has a tornado kick, and Hagar has a running clothesline. I like to refer to that one as Stan Hansen's Lariat. These moves can be kinda tricky to pull off since you have to press the B button, and then either left or right on the D-pad with very precise timing. The story is the exact same. Hagar's daughter Jessica is kidnapped by the Mad Gear gang and you gotta get her back, and you'll see some familiar faces like Thrasher, Katana, and Abigail.  Man, I used to work at a golf course when I was a teenager, and I used to have to clean up all the pond scum all over the course. That stuff is no joke. The opening cutscene is great, featuring some really funny pixel art. The only bummer about this game for me is that the enemy names aren't displayed, like this guy here wearing a purple divo hat. I would have liked to have put a name to a face there. I mean, it's not a huge deal since if you're familiar with Final Fight, then you can basically tell who most of these enemies are, but still, I do miss fighting an avalanche of Dugs, or Breds, or Simons, or Elgato, or whoever. It adds a lot of charm to the game for me, but that's obviously not a big deal since this game has charm for days. The only real downside of this game is that it has quite a bit of that NES flicker, especially when sprites line up on top of each other, but it's definitely not a deal breaker or anything like that. So yeah, I highly recommend checking out Mighty Final Fight. The controls are extremely simple, the hit detection is spot on, and the graphics and facial expressions throughout this playthrough are really entertaining. It's a very short game, you can beat this one in 20 or 25 minutes, but it's a great one to revisit again with a different character. This game just flies by, it's an entertaining way to kill a half an hour. Unfortunately, this is one of those NES cartridges that has an insane price tag, usually going for around 300 bucks on eBay and at conventions, but thankfully this game was re-released on Game Boy Advance as part of the Capcom Classic's mini mix, which also includes Bionic Commando and the NES version of Strider, and that cartridge usually goes for less than 20 bucks, so you're much better off with that if you're looking for a physical copy. Other than that, though, this is one game you'll have to play, any way you can. Alright, I want to thank you for watching, and I hope you have a great rest of your day.


I'm he's one head down. Oh my god It's focusing on the baby stop focusing on the baby stop everybody welcome back to another Luma Lani video So I don't know if you guys saw it, but like about a week ago I posted on my community page just basically letting everybody know that I was gonna be doing a once every other week video Schedule now, so I'm going to school and that might not be crazy to like anybody else hearing this cuz it's just like You know, it's just college. It's like really exciting to me so I'm kind of trying to lighten my load a little bit make sure that I can both do this and College without kind of getting burnt out So that's why we're switching to that kind of schedule But I do plan on finishing Alice matters of turns at least within the next two months and doing a live stream for when we Need to do all of our collectibles, so I'm gonna be doing that But today we're gonna be starting on the dollhouse level and we're gonna get a little bit of the ways into it And this is gonna be a three-parter, but we are gonna start it today So without further ado, I guess let's just begin. I'm also trying a new recording method today in OBS So I'm kind of like doing dual screens right now, and I'm hoping this is gonna look nice at least nicer than usual I literally watched a video called how to make videos like markiplier and I was like that's good And before I click continue game I downloaded a mod for this game as recommended by a previous commenter I'll let you guys see for yourselves if this doesn't just crash right now It didn't crash and we're golden. Thank you very much to woohoo.  This level is so cute. It's I mean, it's creepy, but it's also very cute.  I think that I need to have the lever up for all of it Let's see Yep, I do Can we make that I feel like we can make this Yeah, wait what's in here I need to find out what's in here first. That's pleasant.  Oh, yeah guys.  Can I just go that way and get back to where I was or did I just completely miss a part of this game? I remember that being a kind of complicated thing with this part of the game is that it's very maze like and I'm a little bit Directionally challenged. Oh my god. Yeah, there's so many different directions of this game Okay, I think that's where we need to go next so I'm gonna avoid that for now Cuz we have to get the collectibles collectibles collectibles. Do I get up there? Do I get up there is it possible? Okay, literally, how do we get up there? You know what? It's just teeth. We're gonna ignore that I bet when I'm editing this video, I'm gonna figure out exactly where I need to go But it's just watching me. It's just watching me So true He has so much wisdom in that little cat body of his. Do I have to get this mall? So I can walk in here. Yes. Oh, how fun. Oh, that moved the camera a little too fast Motion sickness really does just go crazy. I almost threw up because my little character walked in a hole What does that say about society? I'll fight you right now, but I need the cake. Ah We're good. We're good. We're good. As long as they don't shoot at me. Okay, cool Ah, sorry guys when I don't play this for a long time. I get messy very very messy.  I think I did without noticing big wins for a lumalani This video will not be monetized They have other parts The dull maker will deprive them of what remains of their deranged soul They need care I know their pain. I would assist but is sanity required for the job a limited quantity You're not mad enough to be rejected You're like them of them in a way, but not them. I should say not us For I'm them, but you're on your way. The way is clearly marked I believe I know that way and I'd rather not travel further along it Is here you didn't wait. Oh god. I forgot there was a boss battle after this. I'm afraid. I'm afraid. I'm afraid Oh my god Let's hope I've gotten so good at this game that this fight is easier.  Maybe we can just we can No I think she's a hobby horse kind of girl. Yeah, I didn't do anything.    Oh my god, she runs Can she be defeated with just pepper gun alone?   I think biting the villains in this game is all about figuring out That's so horrible. Yeah, but I think this game is just figuring out what weapons work best for every enemy So it's not all of them are gonna work it like the teapot cannon works really good on the card guards That were on the last level this one is a combo of pepper gun and warple blade I'm finally figuring it out. It only took four playthroughs. That's it I'm not sure what that means in relation to what we're doing right now, but that is a pretty sick quote No, that's a really cool quote.  I realize why I can't say why until the end I think but that's horrible. That's still so horrible It's horrible moving on I guess I've heard self-reliance is a virtue Now you Thank you.   Oh my god. There's four of them Oh only four of them come on. We're better than that these days and it's not because I'm playing on easy mode No, not at all a memory over yonder. Oh, I think we're getting into the meat of it Is it the doctor's memories now?  He's basically talking about I think I could say this now Well, I you know what? I'll wait. He's a degenerate though. Like we all know he's a degenerate at this point He goes beyond just being the weirdo that our sister knew I guess like trigger warning because this is going to go into some pretty dark territory How do I I don't know what it just did. We're gonna go this way though. Oh, I think it opened this out Sorry, I wasn't paying attention. Do you ever just play games and blink out sometimes kind of go on autopilot? I definitely do. That's so freaky though. Gamedevs definitely knew what they were doing with this level I think it's so like like the oriental grove level was very beautiful I'm not sure if it had a lot to do with the lore itself, but this one is so It's really story driven and I really love that about this level. What do you think do we need for final upgrades? Let's find out need 800. Okay. We just have the vorpal blade now That's so crazy because I used to upgrade the vorpal blade first before anything call that growth The proofs are legion every creature has a purpose It is my sacred duty to fit every young person to a calling be it for ornament or use Read your history Read your mythology.  So I think we have to put this down get over here Get up here Please do this in time. Please do this in time work. That didn't raise me enough Oh, thank god barely made it, but we made it. We're gonna have to time this one a little well Oh, please don't send me back Oh What I didn't have enough jumps. What would be the best place to go right here? Oh, yeah. Yeah, that might be work That might work.  That's you know what that works. That's totally fine. I'm okay with this Oh panic. She runs so quickly and I don't like it. Oh god. Stop covering your tummy.  It's just that she's tanky.  Oh my god, this looks complicated. I don't want to partake Ha ha upgraded pepper grinder for the win Oh, I hear a snout. Where are you? Do I have to go up here to find out? Let's find out Hear it louder. Let's do this first and then we'll do that Little snoot man. Where are you? I don't hear it anymore. Where did it go? I bet it was down there somewhere and I didn't even check hear you. I hear you Let me in. Let me in. I'm gonna be thinking about I'm gonna be thinking about that for the rest of the episode Oh god Why are you kidding me? I didn't even get to get my snoot and now we have to fight Oh my god, both of these at once.  I'm glad that doesn't like perma kill me, dude See folks, this is why we play uneasy mode. Would you stop covering yourself you assholes?  It's focusing on the baby. Stop focusing on the baby Jesus christ That was literally walking in place. Oh, this is nice. She's witty witty way now Okay, awesome, and I didn't even have to use the vorpal blade that time. That's great. This is great Oh my god I just realized I haven't drank any water and like only caffeine today No, that's not sure I drink a little water but not enough. I feel like I could run a mile right now Too much energy in me I'm okay. That better mean. I'm on x games mode for every single fight thereafter here after vine after Pick stop another one or the last one. I'm hoping it's the last one, but I doubt it I think we missed out on that one. Where are you bastard? Oh, dude, that's crazy hidden in plain sight. That's so uh, what's the american word for cheeky? No, that's sweet though. She was trying to protect us. Uh, yes It's kind of giving core line with the piano arms coming out.  It's It could be a persuasive teacher strict mind demanding.  I don't know. Okay, but seriously, why is it showing me that though? Oh, does it want me to go up there? Well, that kind of scared me a little bit Hmm What is truly sword is most often found Oh god, let me through I thought that rope was gonna take me out I'm amazed those didn't hit me actually I I thought the ropes used to take you out on those whatever. I'm not complaining. There was a There he is take that guy up before we continue. Oh another pics now where I'm tired of this grandpa Uh-huh in there Okay, sure I don't know why he had to explode the wall, but I'll take it. Is it a shortcut? Believe it to be a shortcut. No, it was just to help me get back up here faster A puzzle level awesome. I love a puzzle level Okay, dude, I don't know if any of you guys have seen the d&d movie But you know what's if you have you know, it's stuck in my head right now Boy, he's stealing up bits and bulbs stuck in my head eternally It's become the newest tiktok audio of my brain Oh, you know, I remember this level was not made for the motion sickness girlies I think there's a lot of twisting and turning in this level This is actually well not this one per se, but the one right after this It's basically the same level though. It's just slightly different design Um the one after this gonna be one of my favorite creepy designs of the whole game Like I think the creep factor of that level just it fucking it hits in my opinion Nope, we have to learn from last time and move the thing we think is not the first one Nope, something about this is wrong. Yeah, no, this was wrong. I wasn't even thinking about the other eye Okay, we'll move that this And about this feels wrong too. Oh, no Oh, that's I guess that's just the way his hair was awesome. We figured that out second try Mmm, why didn't she have any audio gotta be my favorite naming convention in this whole game She's so easy to kill though. Gotta love that about her Oh god, there was multiples I love you upgraded pepper gun pepper gun. You're my favorite Oh my god. Oh Wow, I didn't even notice that I was falling off.  Look at her go Centrifugal force or whatever. Yeah, that sounds right. That sounds scientific and correct Why why did I just go straight down instead of float like normal? Oh god She's right behind me. Isn't she? I'm not sure what this is, but this is worrying me. It looks like a trap looks like a perfect fit and I'm a perfect judge Time to put your new noggin to use new noggin.  I did forget about that. I think I just missed a collectible though. I'm a little upset Ah, man, I thought this was the collectible area. This is another one of those levels I'm not particularly fond of not gonna lie fond of fund of whatever kind of like those Oriental grove levels where you had to like complete it in the middle of the actual level It kind of just is there for filler. I feel like and it's a little bit of annoying a little bit of annoying It amazes me every time. Anyways, I can't speak Did it just take my tooth? It just took the tooth with it. That's so foul Oh, no, I do not understand physics or angles That was the real reason for math that my math teacher never told me If my math teacher presented math to me when I was a child as I'd be able to play alice managed returns more effectively I would have listened. I think this is the end. Yes, awesome I think we're getting into the freaky level. How long have I been recording? We'll do another 10 minutes in this level, but it is scary. Let's continue I suppose get how many spikes and how dark it is I wait.   See just look at how It's unsettling that right there. That's unsettling Actually, where's the pig? I heard the pig. Oh, wait, can I shoot it from here? I think that window is broken. Nice Oh a memory sick I was required to identify your family in the oxford morgue. Your sister was completely recognizable I can't say the same for your parents. Didn't he basically just say that earlier? He just said it in like a different font. Okay. Are we gonna make it? Are we gonna make it? This was not the right way to go was it? I'm gonna die Yep Nice Wait, where do we have to go? We should probably map that out first. We have to go that way Yeah, there's a glass area over there. Okay. I was going the right way I don't think I saw the exit though. Let me in. Let me in Oh Thank you Hating on me from the other side of that. What? Whatever if a child ever asks, how is a baby born? Show them this picture. It's all they need to know That's not even exaggerated. God. I hope no kids actually watch my content Role I'm trying that is A lovely symbol that reminds me of core line. This level is actually really reminiscent of core line I feel like which one came out first editing me editing me which one came out first Thank you editing me depending on the answer. I'll know if this was inspired Did I already go this way? I think I did. Okay, let's just go this way Now would be a good time to wrap up. I think I've been recording for an hour now But where is the auto save is my question?  I don't have time for this Oh my god Oh my god I'm not gonna make it in time. That was too spotty We made it in time. I swear. I'd be faking you guys out on an accident not on purpose I really just underestimate how quick Alice runs. Okay, let's see what this does. No That doesn't seem right. Uh Okay, I think I get it.   I don't believe I don't believe we can. Hmm this way first. Try this way first See, I know that jump pad is there for a reason. Okay. Yeah, let's do this one first And then I'll probably need that one up there to get that one All those undergraduates waiting for a word from the par Might I hold the tea cozy sir?  She's such a hater. I love that for her. Okay, and then maybe we need Oh, I think I see now. I think I see now. We're gonna get this all the way down here And then we use that to jump that to get over here. Let's try it. Let's try it. Let's see what happened See, I think we're supposed to be able to it. Yep. Yes. Yes. We are. Yes. We are come on. Come on Be be good to me You bastard. I was so close Okay, let's try this again. Maybe we just need to go faster. Maybe it's just a skill issue Where are we? Um Hmm. Anyways, that was a timer and I've been recording for about an hour So we're breaking this up into three parts. I hope you guys enjoyed and I hope you guys will come back for part two Of the dollhouse level or technically I think this is going to be part 11 next one's part 12 But we are in for a lot of fun guys. This level is very creepy and I really like it a lot So I will see you guys in the next episode. Bye


Euclid proved two important results on circles. Well, actually he proved a lot more important results, but we'll focus on two of them. First, in Book 3, Proposition 16, Euclid proved the following. The perpendicular to the diameter of a circle at its end point falls outside the circle. No line may be interposed between the perpendicular and the circle, and the angle of the semicircle is greater and the remaining angle less than any acute rectilinear angle. Now this proposition is quite a mouthful, so let's take it apart. First, we say tangent, but tangent is hard to define. Falls outside is more quantifiable. Now Euclid also claims that we can't wedge another line between the tangent and the circle. In other words, the tangent is unique. And the angle of a semicircle? Well, let's see what that is. The proof is a classic proof by contradiction. Let the circle have centered D and diameter AB, and let AE be perpendicular. Now if this line doesn't fall entirely outside, it has to cross the circle at some other point C. We'll draw a CD, and we note that triangle ADC is isosceles, so angle CAD must equal angle ACD. But remember, angle CAD is a right angle. But this produces a triangle with two right angles, which is impossible. Which means our assumption must be false. By a very similar line of reasoning, we can prove that it's impossible to interpose another line. So what about this angle of a semicircle? Well, let's consider a semicircle. And let's zoom in a little bit. We can talk about this region between the semicircle and the tangent line, and we could call that an angle. But it has some strange properties. First, it's going to contain any acute angle CAD. And since the hole is greater than the part, that means the angle of a semicircle is greater. Similarly, if we look at this remaining angle, later called the horn angle, we see that it's contained by the acute angle EAD, and so it's less. And what makes us noteworthy is that EAD can be any acute angle. Euclid's result on the area of a circle is based on the principle of exhaustion. Given two different magnitudes A less than B, it's always possible to find a magnitude C between them, where A is smaller than C is smaller than B. This idea goes back to Bryson and Antiphon, who used it to find the area of a circle. A polygon could be inscribed in a circle. The number of sides could be doubled. And lather, rinse, repeat. So the inscribed polygon always has an area less than the circle, but doubling the number of sides produces a polygon with a larger area that's still less. Of course this doesn't always work. Let's go back to that tangent. Given any acute angle, the horn angle is less. But we can always produce larger and larger horn angles, but the horn angles will always be less. So the principle of exhaustion clearly has limits, which means it needs a proof. And Euclid provides this in Book 10, Proposition 1. Given two unequal magnitudes, if the greater is continually reduced by a quantity greater than its half, there will be left some magnitude less than the lesser magnitude. Euclid's proof relies on the existence of a ratio between the two magnitudes. So remember that a ratio exists if one magnitude can be multiplied to exceed the other. So suppose AB is greater than C. Then some multiple K of C is greater than AB. And so now let's subtract from AB an amount greater than its half and repeat this process K times. At each step, the remainder from AB is less than the corresponding multiple of C. So at the end of this process, the remainder is going to be less than C itself. Book 10, Proposition 1 provides the theoretical justification for Bryson's approach. Given any circle, inscribe any polygon and let S be any area less than the area of the circle. By repeatedly doubling the number of sides of the inscribed polygon, you will eventually obtain a polygon with area greater than S. Now before we can launch into Euclid's discussion of the area of the circle, we'll need one more proposition, Book 12, Proposition 1. Similar inscribed polygons are to each other as the squares on the diameters of their respective circles. This can be proven without the principle of exhaustion and is just a straight area proof. So for the area of the circle, Euclid proves Book 12, Proposition 2 circles are to each other as the squares on their diameters. Euclid proves this by contradiction. First, suppose the square on BD is to the square on FH as the circle is to some area less than the circle. We can inscribe in circle FH a polygon with area greater than S, so inscribe a similar polygon in our other circle. Now by our assumption the square on BD is to the square on FH as the circle is to some area smaller than the circle. Now since the polygons are similar, the squares on their diameters are to each other as the polygons are to each other. But since these are the same ratios, the circle is to S as the polygons are to each other. And we can rearrange our proportionality so the circle is to its inscribed polygon as S is to the other inscribed polygon. But the circle is larger than its inscribed polygon while S was smaller than the inscribed polygon. So this is impossible. Now the second half of the contradiction proof is rather clever because it reduces the problem to the first half. Suppose our square is to the square as the circle is to some area T greater than the circle. So our square is to the square as the circle is to T. Now remember T is greater than our circle FH, which means we can shrink the components of this ratio to S and the circle FH itself, where S is smaller than our circle ABCD. But that's our first case. The square is to the square as some smaller area is to the circle. Now because this is a statement about a proportionality, we can read this as the area of a circle is some constant of proportionality times the square on the diameter. And here's the important thing. Euclid never gave the value of this constant of proportionality. So what is that constant of proportionality? We'll take a look at that later.


Cancer patients face economic hardships due to high costs of treatment and decreased earning potential caused by reduced employability. To address this issue, we need to develop income support programs that are tailored to meet the unique needs of cancer patients. Additionally, policies should be implemented to improve working conditions and facilitate a return to work after cancer. This article was authored by Embreen Sayani, Jessica Dilme, Janet Elconk and others.