Ladies and gentlemen, the President of the United States. Thank you all very much. Please sit down if you can. I want to extend to all of you a very warm welcome. Something ought to be warm, but it's especially fitting that so many of us from so many different backgrounds, young and old, the working and the retired, Democrat and Republican, should come together for the signing of this landmark legislation. This bill demonstrates for all time our nation's ironclad commitment to Social Security. It assures the elderly that America will always keep the promises made in troubled times a half a century ago. It assures those who are still working that they too have a pact with the future. From this day forward, they have our pledge that they will get their fair share of benefits when they retire. And this bill assures us of one more thing that is equally important. It's a clear and dramatic demonstration that our system can still work when men and women of good will join together to make it work. Just a few months ago, there was legitimate alarm that Social Security would soon run out of money. And both sides of the political aisle, there were dark suspicions that opponents from the other party were more interested in playing politics than in solving the problem. In the 11th hour, a distinguished bipartisan commission appointed by House Speaker O'Neill, by Senate Majority Leader Baker and by me, began to find a solution that could be enacted into law. Political leaders of both parties set aside their passions and joined in that search. The result of these labors in the Commission and the Congress are now before us, ready to be signed into law. A monument to the spirit of compassion and commitment that unites us as a people. Today, all of us can look each other square in the eye and say we kept our promises. We promised that we would protect the financial integrity of Social Security. We have. We promised that we would protect beneficiaries against any loss in current benefits. We have. And we promised to attend to the needs of those still working, not only those Americans nearing retirement, but young people just entering the labor force. And we've done that too. None of us here today would pretend that this bill is perfect. Each of us had to compromise one way or another. But the essence of bipartisanship is to give up a little in order to get a lot. And my fellow Americans, I think we've gotten a very great deal. But to much this debate about Social Security has raged for more than two decades in this country. But there has been one point that has won universal agreement. The Social Security system must be preserved. And rescuing the system has meant reexamining its original intent purposes and practical limits. The amendments embodied in this legislation recognize that Social Security cannot do as much for us as we might have hoped when the trust funds were overflowing. Time and again benefits were increased far beyond the taxes and wages that were supposed to support them. In this compromise, we have struck the best possible balance between the taxes we pay and the benefits paid back. Any more in taxes would be an unfair burden on working Americans and could seriously weaken our economy. Any less would threaten the commitment already made to this generation of retirees and to their children. We're entering an age when average Americans will live longer and live more productive lives. And these amendments are just to that progress. The changes in this legislation will allow Social Security to age as gracefully as all of us hope to do ourselves without becoming an overwhelming burden on generations still to come. So today, we see an issue that once divided and frightened so many people now uniting us. Our elderly need no longer fear that the checks they depend on will be stopped or reduced. These amendments protect them. Those of middle-aged need no longer worry whether their career-long investment will pay off. These amendments guarantee it. And young people can feel confident that Social Security will still be around when they need it to cushion their retirement. These amendments reaffirm the commitment of our government to the performance and stability of Social Security. It was nearly 50 years ago when under the leadership of Franklin Delano Roosevelt, the American people reached a great turning point, setting up the Social Security system. FDR spoke then of an era of startling industrial changes that tended more and more to make life insecure. It was his belief that the system can furnish only a base upon which each one of our citizens may build his individual security through his own individual efforts. Today we reaffirm, Franklin Roosevelt's commitment, that Social Security must always provide a secure and stable base so that older Americans may live in dignity. And now, before I sign this legislation, may I pause for a moment and recognize just a few of the people here who have done so much to make this moment possible. There are so many deserving people here today, leaders of the Congress, all members of the Ways and Means and Finance Committees, and members of the Commission, up in front here, that it would be impossible to recognize them all. But first, can I ask Allen Greenspan and members of the Commission, I was going to say to stand, but there are others that are also standing here, but the other members of the Commission to stand so that we can recognize them. Thank you. They're Chairman, Allen Greenspan. And now, as a special treat, I would like to ask two of our leaders from Congress. First, step forward for a few words, Speaker of the House of Representatives, the Honorable Tip O'Neill. Mr. President, Mr. Vice President, my distinguished colleagues in government, this is indeed a happy day. There are those who would question as to whether or not the Social Security Bill was the most important bill that ever did pass the Congress of the United States. Representatives would say there were other acts, but I always believed the Social Security System was the greatest act that ever passed the Congress. It gave respect and it gave dignity to the Golden Ager of America. This great country of ours has always gone on the theory that each generation pays for the generation before it. The Golden Ages of today are the ones who made America great. I want to congratulate the committee that the President appointed, that I appointed, that Senator Baker appointed. I want to congratulate the Ways and Means Committee. Jake Pickle was the Chairman of the Subcommittee, Dan Rust and Kowski-Baba Conable, all of the committee. Senator Pepper from the Aging Committee all worked together on both sides of the aisle. It shows, as the President said, the system does work. This is a happy day for America. Thank you. Thank you. And now, the Majority Leader of the Senate, Senator Howard Baker. Mr. President, Mr. Vice President, my colleagues on the platform and ladies and gentlemen, it is perhaps one of the littlest noticed but most important aspects of the civility of American government that on occasion we rise above politics. We rise above confrontation and we address on a bipartisan basis the great challenges and issues that confront the Republic. Sometimes it has been on issues of war and peace. Sometimes it has been on issues of the rights and opportunities of minorities and individuals in our country. Once on the salvation of the Union itself. But there is a canny understanding in the American political system that sometimes there are issues that are more important than any of us or perhaps all of us taken together. The preservation of the social security system is one of those issues. And of the uniquely American way, those of us who participate in government, Republicans and Democrats together, public and private citizens, gathered together and subordinated our own views to those of the welfare of the majority. Mr. President, I commend you, sir. I commend the members of this commission. I commend my colleagues in the Congress. The committee is directly involved in those members who are so intimately involved in this sensitive political issue on a successful conclusion of another chapter in the real greatness of the American political system. That is the subordination of our own particular political ambition in favor of the greater good. I thank you. Thank you, gentlemen, and thank all of you for being with us today. I know some of you have come a long distances to participate in this ceremony. We have shared an historic moment for in signing these amendments into law. We have restored some much needed security to an uncertain world. And I am now going over and sign, and as you can notice how cold it is, 12 pens there. If they're too cold, they can only sign one letter, each pen. If my name came out to 13 letters, I would have misspelled it. They've made this a little difficult. One gone. Thank you. What's the W stand for, Mr. President? It's because I forgot to sign two letters on pen. What's the W stand for? Wilson. The Woodrow Wilson baby.


Don't do it. What? Don't do it. What? Don't say any jokes about China's military. What? What are you talking about? You didn't hear about it? No. Winnie the Pooh? Comic in China made a joke about China's military. He was fined two million dollars. This isn't a setup for a joke. I just want to make sure you're not making any jokes about... Winnie the Pooh's army? Find him!  I'm Rick. Thank you for watching. I'm Patreon, follow the Twitter account and subscribe to the channel. These shorts are comfy. They make my bows jangle. So a couple things America does, right? Freedom of speech. Yeah. And we didn't... We've had it since the Constitution, but sometimes we also didn't follow it. Comics got arrested in the 50s, 60s. Yeah. And then the 90s. And the rappers. They got...  They got arrested. They started putting the warning labels on the albums. I remember when they started doing that. The parental advisory. For a while, we didn't even follow fully the freedom of speech. George Carlin, everybody flipped out when he did his thing about the seven words he can't say on television. Good stuff. Good stuff. You could say them on YouTube. Yeah, yeah, yeah. I think it's here like shenanigans or conundrum. Today, last night, a new Malayalam teaser dropped of the highly anticipated Tovino Thomas film. Yeah. And it's called Arm. Ah. Yes. A rare man. Do you know what Arm is? I think I have two. A left one, a right one. That's more than the guy in Cholet. Ooh. It's also, as we know as Americans, a gun. That's true. Yeah. Anyways. It's a Malaya. It's also a kind of chair. It's a Malayalam film, and it stands for this right here. It stands for Agianti Radam Motionam. And I believe. I hope I didn't pronounce that wrong. Tovino plays Thrice Rolls. Oh, he plays the A, the R, and the M? Yes, I believe so. That is all I know. I do know that the Hindi teaser was debuted by Rithik. So that was cool. Now they get different stars from different industries to debut teasers and this kind of stuff. Yes. Yes. But here we go. Will this be added to the next Malayalam? Malayalam? Malayalam. Why am I forgetting how to say it? I don't know. Mal. How do you say it? Malayalam. Why am I forgetting how to say it? I don't know. I feel like I'm saying it how we said in the beginning now. Malayalam. Malayalam. I don't even remember how we said it in the beginning. I don't want to, because then I'll... Yeah, Malayalam. Here we go. It's our teaser beep. Mom, is this Mani's story? I'm scared to see God's grace all night. Do you know the story of the actors who were killed by Jyothi? The flash? Visuals look really cool. Yeah. I don't know your story, mom. Nice. Is there a night time showing?  That was cool.  Also really big from Malayalam. Yes. Which is great. That actually almost felt like a Canada. Canada. Yeah. Like how big and massive they've been since KGS. Yeah. That's what that felt like, but it also, I'm hoping, still has the beauty that is Malayalam cinema and the writing and the acting, but also they're like, we want one of these big juggernauts. Yeah, that was a pretty cool visual there at the end when he's just there and then the flames start coming up behind him. And he puts out the cigarette or whatever it is and that. Looked awesome. I would see it right now just off the teaser. Intriguing. It looks like it's going to be creepy. Action. Great stunts. Great cinema visuals. And clearly it looks like at the center of it from the start and the end there was that it's about being told a story. And I'm in. Nice teaser. Very good teaser. About as good a teaser as you could put together right there. Oh yeah. It intrigued me enough. I'm not going to say anything away, but it's like, what is this about? Great job. It also looks really, really cool. Yep. You know what, man? Just once again, India kicking the world's butt in terms of just teasers and trailers. I mean. That's out of that Martin Scorsese one, right? Yeah. Well, see that's the difference I was going to make the comparison of. But different kind of film. Exactly. When it comes to the films that are going to be talked about during awards time, we've got some great trailers. And the new one, if you haven't seen it, there's a link to it in my Instagram story if it's still up. But it's easy to find. It's just killer killers of the flower moon. The new Scorsese film with Leo DiCaprio. The trailer looks absolutely fantastic. It's based on a true story and it's just a really well put together trailer. Not a surprise coming from Scorsese and crew. But our trailers for our action films. I'm sorry. They needed, they needed to pay attention to what goes on in India. And this is a prime example of this. This right here is just, I can't remember the last time I got really fired up for an action trailer. Yeah. In an of an American film. Yeah. I mean, I was excited for the franchise as I know, for example. I'm excited for Mission Impossible. I was excited for John Wick 4. A lot of people are excited about the new, and I don't know if you've seen all of them yet, the fast film. Yeah. But again, that's an established franchise. This is a new story and I'm excited for it just because the teasers are so dang good. Can you, because, so this is, looks like it has a pretty darn decent budget. Right. That would be visually. Yeah. Visually it sure looks like it. And can you imagine, because it's the same actor as Tavino Thomas. Right. As Manol Manari. Right. You imagine if that had that kind of budget, man. Because that was the only thing slightly lacking in that film. But that's kind of the cool thing about that film. Yeah, it is. Is that they had to make it with more practical stuff and made it. I'm intrigued as to this actor's trajectory and the style of films that he's wanting to do. Yeah. Because I liked him a lot in Manol Manari. Yeah. And also apparently Mohanlal is in this. And because it's Malayalam, I think with him playing three characters, I'm hoping and believing my first, my expectation going in is that's going to be a really great cinematography, great action, great stunts, visual effects, right? But because it's Malayalam and it's who's involved. Yeah. I also have a pretty high hope that we're going to get also great story, which is something that's Marvel and maybe it's lost me on. Maybe it's just the visuals.  With the great... Whoa! Whoa! I don't know why that doesn't give it away. The guy that he turned into a demon in the end. Oh! Okay. Yeah.  And I thought, okay, so Pushpa. But then you said, except for that thing at the ending. Yeah, yeah, yeah, yeah. Yeah. We loved the final 15 to 20 minutes was worth the price of admission. Yeah, yeah, yeah. I forgot what that's called. I don't know why I'm forgetting it. Sorry. You guys know. We're already saying it. But anyways, the visual wise. Yeah. In terms of like how pretty dark and in like night time shoots, whether they shot it at night time or not. I don't know. It looks... Which is so cool about, see, about special effects these days. Yeah. You can do night shoots without having to do a night shoot. Set in North Kerala in the 19... In three... Oh! Three generations. I guess that's his three characters. I'm wondering if he's doing like reincarnation or if it's just three generations of people, maybe. It looks like it's generations because it's only spans of 50 and 40 years. So unless they died pretty young, I'm suspecting it's dad, it's grandfather, father, son. To protect the important treasure of the land. Or at least family. Yeah. Yeah. It looks great. I missed it. Date? Nope. I don't think they gave it. Okay. And they're doing it in 3D, which, whatever. You know, I'd much rather see it in 3D myself. Me too. But I mean, we saw Brahmastra, which was cool. Yeah. But even still, I would much rather just see it in 2D. It's just my preference. Yep. Not a huge... The biggest I've talked about this before, I remember when Mad Max Free Road came out, I saw it in 2D. And then just to see what the difference is going to be, I saw it in 3D. It's just... 3D is a novelty that's interesting. Yeah. But it doesn't capture in any way the artistry of what happens in cinematography when it's just 2D. Yeah. It's just... It's so much more beautiful in 2D. Anyways, this looks great. I can't wait. I'm hoping we get a release date soon. It's Malayalam, so I did... They don't usually release stuff that early. But obviously this looks like a big budget. A big budget thing. Thing, so maybe they're... But it looks pretty well put together. So... It looks great. I'm suspecting this summer. That's my hope. Hopefully. Yeah. That's it. Anything else we need to know down below. Just...


Hey, this is Brett, and this 2019 Ford F-350 Crew Cab Long Box Dual Rear Wheel Lariat FX4 is stock number 14295Z. I am here at Summit Automotive in Fond du Lac, Wisconsin. You're new and used heavy-duty truck headquarters. This 2019 Ford F-350 has the 6.7 liter power stroke diesel engine. It's paired up with the six-speed automatic transmission. This truck has been fully-safetyed and inspected by our service shop, per the state of Wisconsin inspection process. It has a fresh oil and filter change, so the fluids have been checked and topped off. And this truck is 100% ready to go. I'm going to go all the way around in this video. Inside, underneath, started up, take a look under the hood, show you all the options, and just give you the most accurate representation that I can of the truck. White platinum tricote metallic is the color. I shoot all my videos in 4K. If you like the video, subscribe to the YouTube channel, click the bell notifications, get updates on the videos I do each every day, as well as having access to one of the largest catalogs of vehicle walk-arounds on YouTube, and getting updated of keeping up-to-date on our ever-changing inventory here at Summit Auto. This one comes with these 17-inch polished aluminum wheels, and it has Michelin LTX AT tires. These are LT24575R17s, and they have right around half the tread left on them. Frame and underbody is exceptionally clean on this truck. This is a one-owner, clean title history, clean car fax from Oklahoma. So it's pretty much never seen a winter in its life. Headlight lenses are nice and clear. Factory fog lights, front bumper, and lower valance are in really nice condition. I didn't see any dents or dings, and I didn't see any scuffs or scrapes on that lower valance. You get the nice tow hooks, engine block heater, and the chrome-trimmed grille. Does have the front camera on there, so I'm assuming this one has a 360 cam. The hood is in really nice condition. I didn't see any dents or dings on there, and it does have the cab lights up top. Passengers side front fender is in great shape, too. No dents or dings on there, and the passengers side front wheel. No major scuffs or scrapes on there. Looks really good. I don't know if I'll be able to show you, but white platinum metallic's got just a little bit of metal flake in it. It's really a cool color. There we go. A lot of pearl in it, too. Very nice condition on that paint, as well. As you go down this side of this 2019 Ford F350, just take note of how clean that body is, how reflective and mirror-like that paint is. I take these HD videos, so if you're 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's absolutely no surprises, and you can make a smart and informed buying decision from wherever you're at. Now, if this video helps you make that decision, or just make the decision to come take a look at the truck, let your salesman know that you saw the video, that it was helpful, and that Brett sent you. Dually tubs in really nice shape, as well. And this back wheel is in excellent shape, too. Back tires have just as much tread as the front tires. It does have the camper package. I think all the F350s have that anti-sway bar there, but the frame and underbody, once again, it looks like a brand new truck under here, which I kind of expect from a truck from Oklahoma, has all the remaining factory exhaust, so it hasn't been altered in any way. And the lower rockers and underbody look really good. Comes with the nice factory chrome step bars. Once again, that dually tubs in pretty nice shape. I didn't see any cracks on it, or major damage to it. Coming around to the back, the rear bumper is in great shape. Does have the backup parking sensors, of course, a full towing package with the receiver hitch, four-pin and seven-pin wiring. And the tailgate is in really nice condition, as well. Does have the power drop-down tailgate. It does have the tailgate step assist, as well. Comes with the fifth wheel and gooseneck prep package. Also comes with a weather guard toolbox, side box tie-downs, LED bed lights, and a seven-pin wiring hookup back here for trailer wiring. That's in really nice shape. And that tailgate's in pretty nice shape, as well, on the inside. The only thing really to note is there's just a couple of these little plastics that are kind of got some notches in them from use, but it's a used truck, and that's what happens. Going down the driver's side, dually tub looks really good. Paint's in really nice condition. And for full disclosure, this back wheel is in really nice condition. And the only other thing is this side of this bed rail cover, this plastic piece, has just a little bit of notches out on it, but just want to be full disclosure on all that. Now, on the rest of the side of the truck, the cabin doors all look really good. Densini Denser dings on them. Does have the power scope mirrors. They have power fold-in, power telescope out. They have blind spot monitoring and directional signals. I'll show you how those work in just a second. This one does have the driver's side door code entry. We do have the code for this truck, if you ever wanted to figure out what your code is for your 17 to 22 Super Duty in the upper right-hand part of the screen. I got a video showing you how to do that. Back here, we have the nice leather seats, latch child safety system in this truck. Power slide in rear window with the built-in rear defrost that headliners in really nice shape. And then we have some window guards that came with this truck. Those are weather techs, so we're just gonna leave those in there. It also has a set of factory floor mats to go along with the weather tech floor mats that go with this truck. You get a nice storage area under here. This is collapsible. You do get a receiver hitch reducer back here as well. Those seats go back down like that.  So a lot of nice little extras that come with this truck, side curtain airbags, child safety locks on the back doors and the inside and bottoms of the doors all look really good. Show you the VIN sticker here. No Canadian trucks here. And there is the tire and loading information sticker. Inside the Lariat package gives you the tan leather bucket seats. Both of these front seats are heated. Both of these front seats are cooled, and both of these front seats are power. No rips or tears on those seats. They're in really nice condition. Weather tech floor mats in the front, keeping your carpeting looking like new. Power drop-down tailgate, power pedals, auto headlamps, LED side lights for the mirrors. This steering wheel is power telescopic and tilt, and that's working nicely. Power windows locks and mirrors, memory driver seat, wood grain trim. Like I said, these mirrors do power fold in. I always like showing both sides so that you know that both sides are working properly. And then they do power telescope out and in and out and in. Top and side, check out the miles, the radio and everything that this truck has to offer on the interior. Get the nice built forward tough animation there. Digital spinometer, you can see this truck has 29,775 miles on it, instrument cluster is very nice and clean. Comes with the leather-wrapped steering wheel. This is a heated steering wheel, Bluetooth and audio controls on the right, cruise controls and information center controls on the left. There's your shifter for that six-speed automatic transmission with the optional tap shift. There's your heated steering wheel control. You get AM, FM, and I believe serious XM radio capabilities on here as well as Bluetooth capabilities. You saw the climate control there. This one does have the factory navigation system. There is highway 41, so that is working nicely. And you get all your different apps on here. And then it does have these apps, including Apple CarPlay, Android Auto where you can project your cell phone to the screen. It does have your factory exhaust, stability control, downhill assist control, hazard lights. And this is where you can check out your cameras. And you can see the 360 camera there. That is your front camera. And there is your cargo cam that is working nicely. And all your other cameras that you have there. This does have the B&O premium sound system.  Two USBs. Has the keyless entry with the remote start and your power drop down tailgate. Get LED lighting in the cup holders. And then this is my magic trick. Abra Kadabra, two cup holders, four cup holders. That's about as technical as it gets here. 12-volt PowerPoint, 110-volt, 400-watt plug-in, dual glove boxes, passenger side floor mat and seat are exceptionally clean on this truck. No rips or tears on there. I don't think this thing's ever been smoked in. The headliner is absolutely perfect. Smells very clean. Six auxiliary up-fit switches, power side and rear window controls and map lights. You also get home link buttons for your garage door security systems and lighting systems. All right, let's start it up and take a look under the hood. Starts right up. No check engine lights or anything like that. Do you want to show you those? Had them on. There we go. LED side lights in the mirrors. They're pretty bright. And 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, cleanliness of this truck all the way around inside out. All the lights are working nicely, including the cab lights up top. Under the hood, we have the 6.7 liter power stroke diesel engine. Engine based, very clean runs, very smooth. Once again, this truck has been fully safety and inspected by our service shop, has a fresh oil and filter change. All the fluids have been checked and topped off.  There is the emission sticker. And this truck is 100% ready to go. I would highly recommend it from a quality and condition standpoint to see more pictures of this truck or one of other 550 new and used cars, trucks, SUVs, minivans, wranglers, F-tons, securitons, one-tons. Name it, we gotta go to the website right there, summitauto.com, full pictures and descriptions of every single vehicle all at summitauto.com. If you'd like to check out more HD videos, you can go to youtube.com slash summitauto. In fact, the second you'll see a link to subscribe to my YouTube channel in the upper left. A link to all the F-350 videos I've ever done in the upper right, a link to this vehicle on our website in the lower left. And a link to one of our latest YouTube videos in the lower right, quick-close check us out. We're super excited to help you with this ultra-clean 2019 Ford F-350 Crew Cab Long Box Lariat, Jewelry Wheel, FX4, and White Platinum Tri-Coat Metallic. Thanks again for checking out the video. Remember to like, subscribe, and share on the YouTube channel. I really appreciate it. Thanks again.


So there's a number of cases where we're interested in knowing whether a number can be divided by another number, and we prefer not to actually have to do the division, because division is one of the more difficult of the elementary operations. So this falls under the category of divisibility. So let's consider a few definitions. So suppose N is a product of two numbers, P and Q. Then we say that P divides N, and conversely, if P does divide N, then I'm guaranteed that N is a product of two numbers. Now, this is a fairly important concept, and you can tell how important a concept is in mathematics by how many different ways we have of speaking of it. So divisibility is important enough that we actually have several equivalent ways of expressing the concept of divisibility. So we might say that P divides N, or we might say that N is divisible by P, or we can introduce some notation P vertical bar N, and we can read this as P divides N. And because mathematicians don't like writing a lot of stuff out, this notation here is probably the most common way of expressing this notion of divisibility. Okay, so let's see what we can do with that. Well, so for example we might consider a simple proof. We want to prove that 5 divides 475. So we are using the vertical bar for division, and so we're looking at 5 dividing 475. And we do want to refer back to our definition of divisibility. Again, this is a proof problem. So what do we want? Well, if N is equal to the product of P and Q, then P divides N. And so now I'll compare our definitions. N is 475, P is 5. So the problem is we have to figure out what Q is. And so what I have, N equals P times Q, and this is a division problem. So Q is going to be 475 divided by 5. That works out to be 495. And so I can put these together into a proof statement. Since 475 is 5 times 95, then 5 divides 475. There's a definition of divisibility, which is the same as the statement that we're trying to prove there. Useful idea to keep in mind, commutativity still applies. So 475 is 5 times 95. Then it's also 95 times 5. And I can reverse the two factors and say that 95 is also a divisor of 475. So the fundamental theorem of arithmetic gives us a guaranteed way of determining whether we can write a number as a product of two other numbers. For example, let's consider N to be this mess. And we want to prove or disprove 27 divides N. So I could answer this question by determining whether it's possible to write N as a product 27 times something else. So if we think about the prime factorization of a number as being the recipe for creating that number, the question is, can I find these ingredients, the ingredients that make up 27, in this set of factors? The important thing is that the fundamental theorem of arithmetic only applies if we have the prime factorization. So we want to write 27 as a product of primes. That's 3 to the third power. We also want to write N as a product of primes. Now, 5 and 7 are both prime numbers, so we're good there. 12, on the other hand, is not. So we need to break that up. 12 is 2 to the second times 3. That's 4 times 3 is 12. And expanding this out, that's 2 to the 40th, 3 to the 20th, 5 to the 3rd, 7 to the 4th. So the recipe for making this number N take 42s, 23s, 3 fives, 4 7s, multiply them all together, and that's how you get N. And in this list of ingredients, the question is, can I find this? And if you look, you say, sure. Here we have 23s. I only need 3 to make up 27. So I'll split off the 3 there. I'll have 17 left over, and then all the other prime factors are unchanged. So N is 27 times some other stuff. And so by definition, 3 to the 3rd, 27 divides N. And the proof that 27 divides N really is the portion in green once again. Now, an important variation on this, what if I have a sum? Here's a problem. The fundamental theorem of arithmetic only applies when you have a product of prime numbers. If you don't have a product, all bets are off. So the problem here is I have this sum that's going to mess up my ability to have a product. So let's see what we can do with that. So the question is, can I write N as a product of two things? Again, this is a sum. I want to write N as a product. And so one possibility is I can use the distributive property to simplify that expression so that it goes from being a sum to a product. So I stare at this for a moment, and I notice that everything has a, well, there's a 7 to the 8th in both of these, so I can get rid of that. There's a 5 to the 3rd in both of those, so I can get rid of that. And then I have what's left over this 2 to the 3rd and 3 square. So I can pull out the common factor of 5 to the 3rd. I can pull out the common factor of 7 to the 8th. What's left over 2 to the 3rd, 3 to the 2nd. And now I have 5 to the 3rd times 7 to the 8th times this thing. And since this is still an addition, it doesn't really matter if I figure out what that is. This is 8 plus 9 is 17, which turns out to be a prime number. And so now N is a product of prime numbers. And 11 is prime, and there is no way that I can get an 11 out of this. So 11 is not in the recipe for N, because here it is. So 11 does not divide N. And again, the essential part of the proof is the portion in green.


Hello and welcome to this demo about how we can stop database dependencies with specmatic JDBC stuff. In this example, we see a mobile application making a request to a backend API. The application code inside the API in turn calls a data source which leverages a JDBC driver to communicate with a database instance. Once the data is returned from the database, the results are processed by the application code and returned to the mobile application. Now, in order to test this API, we need to isolate it from its database dependency. For that, the first step is to switch out the data source with a specmatic data source. This enables the API to talk to the specmatic JDBC stuff instead of the real database. Now, we can easily run any type of test without having to depend on a complex DB setup. And for the purpose of this demo, I will be running a specmatic contract test based on the open API specification of the API. First, the test needs to set expectations with the specmatic JDBC stuff to let it know about the queries that it can expect and the data that it needs to respond with. Now, these expectations could be written by hand or could be recorded based on the actual interactions between the API and a real database. Once the expectations have been recorded, we do not have the necessary for the database in the test setup anymore. Now, specmatic will be able to leverage the open API specification of the API itself and generate contractors. The contract test makes HTTP request to the application, which now talks to the specmatic data source and specmatic data source itself responds with the data that has already been set up with it. To the application, when it receives the result set, it looks like it is talking to the real database. And thereby, it processes it as usual and returns it to the specmatic contractors, which now verifies if the response is according to the schema described in the open API specification. Let us take a look at all of this with a code example. This example application provides a cred wrapper on top of a product entity. In its production configuration, it is set up to talk to a real database based on these spring properties. Now, I'd like to contract test this application based on its open API specification, which is right here. It has two routes, one for creating products and another for updating products. To learn more about how we can leverage API specifications as contractors with specmatic, do watch our other videos. However, here is a quick overview. In the specmatic.json configuration, I'm pointing specmatic to the open API specification, which I just showed. And in the contract test, I'm providing specmatic with the coordinates of the application where it is running. In order to run this test, I need to isolate the application from its database dependency. And for that, I am disabling the data source auto configuration. What this does is completely remove the data source setup, which means there is no way for the application to talk to the real database. Let us ascertain that by running the test. And as expected, the test fails, because the application is unable to start up. Since the product repository cannot be instantiated, because the data source itself is not available. Now, let us provide it with a data source. And for that, first, I'm going to add the specmatic JDBC dependency to this application. And next, in the test configuration, I'm going to set up a bean for the data source itself. The data source bean is set up based on the JDBC stuff factory provided by specmatic. This takes two parameters. One is the port. And the other is the directory where the expectations are stored. The expectations, as I mentioned earlier, are nothing but mappings of queries and their responses. Here is an example of a select query, and for which we expect a single row to be coming back as a response. There are a bunch of such expectations that we have here. Now, let's run this contract test and see how it works. While the contract tests are running, let me also clarify that I'm creating this data source bean manually to make it easier to explain. However, if you have a spring application, you could very well leverage the spring auto configuration by using the specmatic JDBC spring dependency and adding the corresponding properties in your test property file. Now the tests have passed. Now let us look at what happens when the specmatic JDBC stub receives a query that it is not expecting. And for that, let me delete one of these expectations, which is for the insert query, which creates the product. And let me run the test again. And as expected, the create product test fails, because specmatic JDBC stub received a query that it was not expecting. And you can see the error here. And that is how we can test our applications by isolating them from the database dependencies by leveraging specmatic JDBC stub.


This is the SF Productions podcast network It's the most wonderful time of the year From the pop culture bunker. I'm Mindy and I'm mark you can check out our audio podcast How I got my wife to read comics on itunes more on our website SF podcast network comm Well, we're in the middle of the holiday season and that means Christmas TV 24 hours a day pretty much the first major special was an opera written specifically for TV Amal and the night visitors it was first broadcast live in 1951 and then performed annually and shown again live for over a decade. I think they recently brought it back I'm not sure there was an attempt in the they redid it in color and videotaped it in the late 60s And people didn't like it as much. I'm sure it has been done and it's now done as as a play You know in theaters But by the 60s you saw this plethora of animated specials hit the airwaves Mr. Magoo's Christmas Carol in 1962. It's the same age as me. Oh my gosh It's a musical version of the Dickens classic starring the near-sighted geriatric Bring on the raspberry dressing Rudolph the red-nosed reindeer 1964 a story of bullying and revenge Disguised as a kid's movie Very much so I want to be a dentist and Then we have the Charlie Brown Christmas Which includes what today would be far too much religious content and songs now a story? I've always remembered is when I was in college and this was in the days when not everybody had you know instant entertainment in their pocket, yes, and Easy access to everything when these stories were on when these shows were on you had to be basically be in front of the TV Or you missed them or you missed it. So I'm in college and I'm doing some play and We were congregating during a technical rehearsal in the costume shop for some reason and They had a tiny little black-and-white TV and they started showing Charlie Brown Christmas and we were all supposed to get back on stage for something and they're like and we're like no Sorry, we're gonna have to wait because And we all crowded around this tiny little black-and-white set and we all watched Charlie Brown Christmas In 1966 we had the first showing of how the Grinch stole Christmas not the terrible Jim Carrey remake That's right. This was Chuck Jones. It is animated height along with Boris Carlott's great narration and thorough Ravens Cross They're great song Then we have the little drummer boy in 1968 now the main thing I remember About this one was it was sponsored by the gas company Back then things really were I mean, you know, you always saw right Oh, yeah, they were the main sponsors like Presented by your local gas company and it was like they had a little flame on on the on screen and all this and In 69 we had frosty the snowman where a magic hat creates a snow golem who leads kids into dangerous traffic That's basically the story We have the year without a Santa Claus in 1974 and otherwise forgettable rank and bass special with one exception Snow miser and heat miser I Okay, so yeah, like that song When we were kids there are a lot of variety specials take months in advance by big stars who often drank and smoked heavily Yes Radio stars that transferred to TV like Bob Hope and Bing Crosby would have extravaganza almost every year Crosby dragged his family into the specials over time Including wife Catherine and daughter Mary who's later of course the jeopardy answer to the question who shot J.R Bing partnered with Frank Sinatra for a film Special which shifts from a boozy song in Frank's pad to traditional carols in a fake old English town square Crosby's final special shot just before his death and aired posthumously Created a surreal duet with David Bowie that continues to be played decades later Came a big hit on MTV. Yes. They show that every year. I'm sure they still do Hope turned his specials into travel logs as he went to military hot spots like Vietnam and the Persian Gulf They were USO specials. Yeah, exactly. Yeah, and let's bring out Lola Heather tonight right here in a while And then one of the next generation of variety stars Perry Como turned his Christmas specials into round-the-world tours Including the Holy Land and Hawaii Andy Williams specials would features real parents and family and the young Osmond family Who would then go on to their own specials later and Steve Allen did a special shot live at his own home Which is just a technical matter Because they at the time the technology wasn't there. So they had these huge cameras lumbering through his his own home Now if you want to be depressed Try the Judy Garland Christmas special shot in a fake version of her home with Judy Visibly out of it slurring her way through her classics But to pep you up after that try Pee Wee play play Pee Wee's play houses Christmas special, which is like eating a box of candy canes By the 80s these specials became few and far between but they're catching on again over the past few years with stars like Michael Buble and the Pentatonix One of our personal favorites is Steven Colbert the greatest gift of all a special from Comedy Central a few years ago It's a parody of the 60s style specials John Stewart asks Steven at one point. Can I interest you in Hanukkah? There are much worse things to believe in is actually a touching song about believing in Christmas Also, Bill Murray did a Netflix special last year. It's a little weird while also being hip Which is kind of what you expect from Bill And then there's regular TV series with Christmas episodes and this went from a rarity to almost a requirement for all TV series Mm-hmm a Frasier episode has Marty pretending to be Jewish in order to impress his girlfriend's mother, which fails spectacularly Futurama introduced robot Santa who was programmed to determine who was naughty or nice and then kill the naughty The Andy Griffith show had a moonshiner locked up in jail, but Andy brought his family to him and celebrated the holiday there The honeymooners had Ralph getting what turns out to be a crappy gift, but it turns into oh Henry's gift of the Magi baby You're the greatest Community had a stop-motion episode parading Rankin basses work or was it a bed's head trauma? The pilot of the Simpsons was a Christmas episode where Homer loses his Christmas gift money At the dog track and winds up with Santa's Little Helper as a pet Mary Tyler more show had Mary stuck alone covering Wjmtv on Christmas Day until the gang came to cheer her up and the odd couple had a metastory with Felix putting on a Christmas Carol play Oscar being all humbug about it and then being visited by three ghosts in his sleep The Henning versus shows Beverly Hillbillies Petticoat Junction Green Acres had crossover Christmas episodes And you even get a shot of all the cast sitting down to Christmas dinner And at one point black and white footage of the cannonball Express decked out for the holiday was reused in a later color Christmas episode well there is also an episode of Petticoat Junction that was a Christmas episode that they did in black and white, right? And then they did the same script That's basically what that was yeah Mm-hmm, and then there's the Brady Bunch and the voice of Christmas Carol Florence Henderson Loses her voice right before the big concert, but miraculously gets it back at the last minute Even the Twilight Zone had an episode where our Carney played a drunk department store Santa who finds a magic bag that keeps generating presents and of course the OC had Christmaca and Seinfeld had Festivus for the rest of us Now the final category is the holiday TV movie The pilot for the Walton's TV series was a TV movie called The Homecoming 1973 remake of Miracle on 34th Street starred David Hartman who then segued from acting to hosting on Good Morning America The Brady's got together minus Susan Olsen for a very Brady Christmas And then there's a gaggle of Christmas Carol remakes and re-imaginings Yes, and now we have a whole network or two That do nothing but Christmas movies during the holidays hallmark and hallmark movies and mysteries It's a watering hole for X TV stars a Branson for TV if you will These run the gamut from single mom meets hunky guy Christmas and falls in love to a single working mom meets hunky dad at Christmas and falls in love The Christmas memes play out in full with themes from It's a Wonderful Life What happened if you weren't there to a Christmas Carol? Here's what happens in the future based on your decision There really isn't a movie. They won't incorporate it into Christmas You know, there's a basically a remake of Groundhog Day called 12 Dates of Christmas There's not much depth there, but it's a nice dish of Christmas cheer something you can wrap presents to exactly Yes And if that doesn't Bring out your Christmas spirit. You can always check out our audio podcast How I got my wife three comics on iTunes or on our website sfpodcastnetwork.com from the pop culture bunker I'm Indy and I'm Mark. Thank you for watching and you all a good night. Oh


Yo what's poppin people welcome back to another episode of kicking their bass TV thank you guys so much for the love and support recently in the last episode we freaking crushed them it was a good day and today we're out here again and we're gonna try to catch some more fish if you guys are new to the channel hit that subscribe button hit the notification bell also the like button if you guys have been enjoying the content share this video with a friend too I'd really appreciate it but today we're gonna be doing some bank fishing doing some pond fishing we just rolled up to this beautiful pond and we're gonna start off with a fluke today and just try to catch some fish we're just gonna run it cover a lot of water and I hit a bunch of pond say we're gonna be doing some more pond hopping and just see if we can catch some big fish so let's go ahead I'm gonna show you guys what I have rigged up and I think we're gonna get out in this pond this is the pond that we're at right here pretty beautiful place a little bit of grass I've seen some boils big fish boils too so hopefully we'll hook into a sludge so this is the combo that I'm rocking slow kicking their bass ex lose combo if you guys want to check it out so my website kicking their bass calm we got left hand bait casters right hand bait casters and spinning combos in stock and I just have a little fluke right here on a extra wide gap hook very clean and basic tied on there with a uni knot and I have braid on the spinning combo with a Florida leader so we're gonna go ahead and get this popping walk around this bank and hopefully we'll get a really big one bite something was just eating me I got it oh guys we just had our first bite I happened to just lose them he's playing with it he's doing something weird with it just come up and eat it how bass usually does weird all right boys and girls we had our next spot and we gonna give it a shot didn't catch any fish so far so we need to get something on board something happening maybe we can get on dude what in the world do I got oh my gosh is he big dude he's got to be big man oh my gosh oh it's a good one man nice fish dude first cast on this spot look how good he is man almost a four-pounder oh dude that fish tackled it boys first fish of the day is a freaking toad oh man that's awesome we had a couple ponds before this I had one bite and then I guess we picked out the right spot to come over here and just get slayed right away that was my last fluke he kind of messed it up man is that a good fish right there almost a four-pounder he's got a huge head on him and just slender body but he's a very hefty and thick fish that is awesome to start off today's video right there well there you go boys we're gonna get her back in the water what a nice fish to start off the video look at that brute you see how his head so fat his body's pretty fat and his tail is kind of slacking but it's a really dark fish you can tell he's been in that grass or under that dock for a minute what a good fish man thank you buddy what a fight to man on the spinning combo that's just so much fun I've been fighting all these red fish and salt water fish guys on these spinning combos but it feels good to get a little old bass to tug like that but man let's see if we can get another one they could be stacked here guys I had to bite down that fluke a little bit I think it's still going I'm gonna use it as long as I can really I'm gonna throw in that same spot I was on the edge of that oh my god look at the bait look at the bait right here come on back-to-back cast baby is it possible is it possible right here I'm in the middle of the bait I fall bites picking up when you oh my god one just ate right at the front all right I'm gonna cast right there in that same spot on the edge they're chasing bait right here it's perfect little spot right there come on baby right here slam give me another good one on the edge of that dock and they're freaking going ham boys oh yeah look at that nice little fish not a huge one but something to start with they're schooling oh my gosh they're schooling like crazy dude I need it I need to oh my god they're schooling I need to grab my other rod guys we have this jerk bait that fluke is just destroyed I had to grab that jerk bait man that fluke is just I don't know it's a great bait it's just it's tore up maybe I give it a pause all I know is they were just going crazy got my adrenaline pumping see fish schooling like that on bait it just gets you fired up they're schooling right off this end of this dock I might do like a three or four aggressive pop and then a pause one just popped on me man I'm not getting hit oh my gosh look at this guys well that's the bait it keeps flickering look what I'm trying to be a fish I can't believe I haven't had one to eat it right here man there's pop I got one reel in dude not a big one little tiny twinkie guy dude this is no more bigger than that jerk bait pretty guy though beautiful markings on them now we're getting started guys that's what you want to do pretty little fish thank you Bubba there goes all right y'all we are going to put on a different bait thing I want to put on the lipless crankbait I'm probably gonna put on like natural color like this one see that I bet I had a lot of good luck at the beginning of this year it's gonna green back with a white bottom on the body so just a basic natural color it should imitate that shed that's in there actually this one got a black back slightly greenish or gold on the top and then a white body this one looks good I think that might be the sauce if you guys want to check out any of the baits that I use by the way and get a discount on them I have the link and the code in the description box down below but yeah a little too tap right here by striking should get it done looking good look at this bro they gotta eat this trap oh well that's a big one he's right on me too dude come on please eat it oh did you see that it was like a three or four pounder I just reeled it right through me didn't even touch it they know what's real and what's not guess how do you reel right through that and not get hit here he is feels like a decent one he's fighting good yeah not a bad one at all not a big one but he is a fishy on that new colored trap took him a second to buy it I think gripping it and burning this thing really fast is definitely the trick today not a big fish but hey he's something he was fun to catch he felt a lot bigger thank you bug there goes you see that bait right there dude there's hundreds of bait fish just chilling that's just stir them up right there to give it a couple seconds after that water goes by oh I watched him eat that that was really cool that was pretty dope he ain't big but I just watched him turn on that thing so these are the ones guys are using treble hook baits should probably be careful with I usually get the pliers put them over the water shake it a little bit alright buddy calm down and then he comes off like that guys you know I was just tied this trap on and I got a few fish on it but I think I might need to slow down if I slow down to another chasing bait but there's just like another part of me that's like you know there's so much bait fish in there it seems like they don't really want much to do with mine so I want to tie me on like a little teah rig little Texas rig and see if we can get some on that put like a little tiny one-fourth ounce little quarter bullet weight right there just lead and then I have a three-eyed extra wide gap or this might be a four-eyed extra wide gap with a rage crawl on there which that has caught us more big fish this year than any other bait so maybe we'll look into a big one of this and drag it right there on that drop off because what I assume is like all the baits pushed up to the top of the water column they wouldn't really eat a jerk bait which usually they would in that situation so what I'm thinking is they come up they ambush that bait and then they run it back off on that drop off so if that being said if I can throw something down there like this crawl and kind of finesse them I think it might be a good little trick so we're gonna go give this a shot but Green Pump can crawl for an extra wide gap on a one-fourth ounce bullet weight oh that's got hit that's quick it's a little rage crawl on I want to fish this like this drop off so I think they they eat that bait and then they go right back down to that drop off they chill out and they come back up and they slam that bait again so if I put this right in front of his nose it might be a good little idea yeah I got one oh he came off the heck is that this fish are eating so dang weird yeah there he is got a lot of small ones in here I don't mind catching them though right there on the rage crawl first fish on the rage crawl I've had a good couple bites on it this might be the trick there's something different than what they're eating usually you want to throw exactly what they're eating to match the hatch but this could be just as good thank bud oh oh pick me up and just there he is you've got to be really small man oh my gosh I got him there he is it must be really small what in the world they're going crazy poor freaking baitfish man they're just in here to get smunch right now he's right there I'm really looking at him crazy one Cody why'd you have to look at him he said you know what I'm not gonna use it he's got that Cody guy with him not happening today where do they there he is I was caught him right under the bait fish I was freaking sweet the Roman right under them bait fish so you can get this bait right underneath of them look at that on the rage crawl not a bad fish at all man this has been a cool little video bank fishing off a dock today and they're just going berserk thank you baby do that would be insane see they're underneath that bait you should get that crawl that's usually where the bigger ones would be anyway I got another one too look at that they're right underneath the bait so we got a whole slick of bait right here guys there's literally millions of bait fish on this dock I don't know what it is but they're just pushed right in this corner today and you got all these bass and they're hiding right under the bait fish so they're coming up and they're ambushing the bait and then they go back down and usually when they do that a lot of bait fish die anyways and they end up eating them off the bottom so this rage crawl is actually the perfect presentation right now you know if I still had that jerk bait or that little rattle trap on I think it would be a great bait choice but the problem is there's millions of bait right here so you know you're just throwing your bait in a million of them if you put this crawl on the bottom it's a whole different story that's how we're catching these fish now guys I'm literally just flipping out this dock to this is the weirdest weirdest thing I've ever seen I've never caught fish like this like so like mindlessly catching I'm like not really having to make any long cast and do too much you know just kind of flipping it at the edge of this dock and they're smoking it dude hiding right under them bait okay Jimmy what I told is that she thanked Cody maybe nine ten ten I got one already oh just messing me up they doing it to me oh man guys this is so cool go ahead and hit the like button if you guys are enjoying this or if you've never seen anything like this smash that like button for your boy I really appreciate it thing near my as well have a drop shot just dropping it down off the edge of this dock but that would smoke them now the baits kind of moved right out here give her a little further for the little flip it's working below the bait pile dude I wish the camera could see this I don't know if you guys can tell oh my god I got a fish this is just so crazy this has been a very interesting day of fishing guys and I'm not complaining one bit never caught fish so good bank fishing and doing just just a weirdest thing that you could possibly think to catch these fish and they're not giants by any means that first one we caught was a good one but I mean they're still fun to catch man all right y'all I think we're gonna end off today's video we hit two more spots after that last one but that last spot was so saucy man I mean they were just eating it there's so much bait it was just it was bound to catch them there so I hope you guys enjoyed this video if you did please hit that like button because we're new to the channel hit that subscribe button share this video with a friend I'd really appreciate it and I'll catch you all in the next episode