Hello, thank you for joining me. I'm outside St. Peter and St. Paul's Church in Harlington in West London. I've just been inside the church. I had a look. It's really nice inside. I'm not going to do a video inside. I'm going to post some pictures on the Facebook page to have a look at them. The reason we've come to Harlington is because we're going to a miniature railway, the Harlington Locomotive Society Which is just up here now. This bit of road I'm walking on has a bit of a rural feel to it This is actually the old road because what happened was the M4 was put through just up there So the new road is just over behind this head which we shall come to in a minute So this would have been the old road from Harlington up to the railway station at Haystown, Harlington So we're now going to wander up here And we're going to go and find the Harlington Locomotive Society Which has been around since 1947 and today as it's almost Christmas now It's their mince pie run. So hopefully we're going to go and get a mince pie and have a Christmas trip on the miniature railway So my plan is to cross the road somewhere here. It's not too busy today. It's um, because it is a Sunday The road then we shall Make our way to the Locomotive Society. So this is the new bit of road. That's the old bit of road down there So there's a rural feeling. We've got a field here So you can see what I mean, although we're in suburban London, we're not in a really built up area of suburban London So the miniature railway isn't far now. It's just about 200 yards up here So we're about to cross the road. It was us talking. We're almost at the Harlington Locomotive Society now So what I'm looking for is I have been to this railway once before It's a really pleasant little railway in this fairly built up area It's um, it used to be an orchard. So they've built the railway around the orchard, which makes it quite a pleasant ride. So if we get here, look here we are Harlington Locomotive Society open this Sunday miniature steam train rides So there's loads of stuff here Talbusk or silhouette of a great western prairie locomotive. So here we are. Let's go and see now. So as we arrive into their car park, there's a lot of people here today. Let's hope we won't be able to get to see it I like this thing here because it's a race track. It effectively crosses like a fence. They've got swing bridge. So as you can see the bridge is currently in the closed position and it's interlocked with the signals So the train can't come through. So that allows some people to cross here. Once they swing this bridge back the gates will go down and down the train. So you see that, hopefully the train should come along and hear the steam so it must be coming to you. So the train goes off under the bridge. I'm going to take you over the bridge. We're going to go to the station and we're going to get kind of gone. An old signal, for real, right away. This is Fordham. Watch this train get passed. So as we come up to here, that is their station over there. Now here there's all these locos waiting on the shed to go out. There's um covo loco there, like Boko in Tom's tank engine. He was called Boko but the real one's called covos because they have six wheels and two wheels. We've got class 20. We've got class 31. And let's talk about something completely different, the South African loco. I'm coming to try and get a trip on that. I'm not sure how many trains are out. So there's at least three steam locos out here. You can just see the fare is pulled up there. So you get on the railway at this station and you get off just over there. So there's three steam locos out. So I think it's time I went and got my trip on the Harlington locomotive society's miniature railway. It takes another group of passengers for a trip around the railway. I think it's time for me to end my visit. It's been a very enjoyable afternoon here at the Harlington locomotive society's miniature railway. I've had three winning locos, South African loco over there being one of them. I had a great Western prairie and another little 060 tank engine. So I'm going to go back over. I like that footbridge. It gives a nice view of the railway. We're going to go out of here and I'm going to, I still think no. Every time I come over this bridge, I always wonder what the people, those houses think about having a little miniature railway at the bottom of their garden. I know if I lived there, I would be quite happy to have a model railway or miniature railway society as my next door neighbors. So I might just see over here one more train. I see one more train and it's time to go. So from the Harlington locomotive society, thank you very much for watching. I hope you enjoyed this video. If you're in West London, then do come and visit them. As you can see, buses pass the site. Do come visit them, have a ride. It's a really nice afternoon and thank you for watching. Please do feel free to like, subscribe, comment and tell your friends, both about Henry's adventures and about the Harlington locomotive society's railway.


So, a major theme of the right, including the distant right over the past few weeks is that Sam Banquan Freed has just been getting away with it because he donated so much money to the Democrats, and it's not a theme that I've amplified, but it's not something that I've considered very important that I need to discuss, it's not something that kept me up at night, it's not something that I was angry about, I just ignored it, didn't seem like a strong case, and now Sam Banquan Freed is indeed being arrested and charged with fraud. So prosecutors often take a lot more time to build a case than ordinary people think is justified, but you can't just intuit the law, just because it seems like someone's committed fraud doesn't mean that prosecutors have sufficient evidence and have assembled a strong enough case to arrest someone. So, this right-wing paranoia that Sam Banquan Freed was getting away with it because he was a major donor to the Democrats, he was being treated more leniently by Joe Biden's Justice Department, that he'd been given a free pass to commit massive amounts of fraud. All right, well the Justice Department is just going after Donald Trump, but it's not going after Democrats. Well, Sam Banquan Freed is now being arrested and indicted. I think that undercuts that paranoia and that conspiratorial mindset. So yeah, Sam Banquan Freed donated nearly $40 million to Democrats, but there's no evidence that he was going to get away with it. So Tucker Carlson was claiming Biden's Justice Department seems not very interested in the man care order, Sam Banquan Freed. Well, why is that? Maybe it's because Sam Banquan Freed was the Democratic Party's second and biggest donor of this cycle. Right, that's just nonsense of paranoia. Elon Musk said Sam Banquan Freed was a major Democratic donor, so no investigation. Jesse Waters was echoing the same thing, Jeanine Pirro on Fox News. Do we have a two-tiered system of justice? Tucker Carlson said last week Sam Banquan Freed was the second biggest donor of the Democratic Party for hearing the Justice Department is looking into him. He's going to get away with it, said Tucker. Well, he's been arrested as a sweeping eight-count indictment against him. It includes campaign finance violations. Right, it takes time to build white-collar cases. Yeah, Bernie Madoff was arrested shortly after his misdeeds came to light, but the situations are not comparable. Right, Bernie Madoff's scheme was revealed by Bernie Madoff himself. He confessed the whole thing to his sons. He then told the FBI. His sons called the FBI. Two days later, two agents showed up at Bernie Madoff's home and asked whether there were innocent explanations for what Madoff had told his sons. Bernie Madoff replied there was no innocent explanation. Right, on the other hand, Sam Banquan Freed was not anxious to confess. He's repeatedly rejected the idea that his actions amounted to fraud. So why was the arrest of Sam Banquan Freed on Monday suspicious timing? Because he was due to appear remotely on Tuesday to a House committee where Republicans planned to drill him. So now, from the Republican perspective, Sam Banquan Freed was not arrested too late but too early, says this excellent Washington Post article. So there's no real reason to believe the Justice Department is timing all this to help the Democrats.


Ever since Thomas Howard's last couple videos, he has been going off on the internet. So in this video, we're going to talk about anger management and some of these tips might actually help you as well. What is up everybody? This is Chris from the Rewired Soul, where we talk about the problem, but focus on the solution. And if you're new to my channel, my channel is all about trying to help you improve your mental health. So what I like to do is pull different topics that are going on in the YouTube community and try to use that to give you some context so you can improve your mental and emotional well-being. That's pretty cool, right? So at the end of that, make sure to subscribe and ring that notification bell. So before I get started with this topic, I have some exciting news. I'm proud of Thomas. I am proud of Thomas. You know why? A couple of videos ago, I offered to give Thomas Halbert a copy of the book, You're Adulting by Dr. Faith Harper, and he actually reached out to me on Twitter. So I mailed him a copy of that book yesterday, and I told him it's coming. He should have it by Wednesday or Thursday. All right? So I'm super proud of him for at least, you know, taking the step to at least check this book out. And this is all I ask of all of you. Like I don't ask you to do everything, just do something, right?  But anyways, we're going to keep Thomas accountable, all right? I was going to make a whole video about this, but I have given out over a dozen books, OK, in the last couple of years to clients, to friends. And I'm like, I think this book will help you read it. And listen, I don't care if I never get that book back. The problem is, is that people don't often read the books, all right? So I wrote a little letter to Thomas in the book and I am giving him which I think is fair until November 30th. OK, he has until the end of the month and the book. Here's another book by Dr. Faith Harper. I'm going to do a review on this. It's called This Is Your Brain on Depression. But all of her books are about this thick. They're like maybe 150 pages. So Thomas, I give you plenty of time to read that book. So if all of you want to help me, feel free to tweet at Thomas every now and then and just say, hey, how's that book coming along? All right. But also also the giveaway winners will be announced this week. I'm not sure which day yet because I might have some exciting news to go along with the giveaway. So bear with me, but I will announce the hashtag rewiredsoldier winners this week. All right. And by the way, this isn't something in the book, but Thomas, Thomas, if you're watching this, you just met me. Don't be giving me your address. I could be crazy, man. I could be crazy. I was actually joking with Trist. I'm like, what if I just showed up at his house with a book like a lunatic just to teach him a lesson? But anyways, Thomas, thank you for putting your faith in me and stop giving your address out to random people on the internet. Thanks. So anyways, yeah, let's get back into the topic of anger management. So my beautiful girlfriend's best friend, Shelby, actually sent me a text last night in our little group text about another YouTube channel they like put together some of Thomas's recent tweets and like he's been going off. So I'm not going to dive all up in that. I'm going to link to her video down below. I think it was actually Kyle. She does a lot of like beauty, guru, drama type stuff. So I looked at that and I'm like, damn, Thomas, damn, damn, damn. But I'm like, a lot of people can learn some lessons from this. But yeah, anyways, I will link to her video down in the description if you want to check that out and dive more in depth into it. OK. So my issue with this particular tweet and Tony's issue was how he replied to someone who replied to his tweet. So this person said, I have bipolar disorder, depression, anxiety, and you don't see me making false accusations against people.   And I don't have enough videos on this. And this is a good opportunity to talk about it. I often surprise people when I tell them that I used to be one of the angriest, one of the angriest people you would ever meet because you see me right now, you know, I'm always smiling and having a good time and all that stuff. And it's like it's difficult to imagine me as being so angry. But I hated everybody. I hated myself and I hated you even more. Like I was just constantly angry. I was constantly just acting ratchet. I was just going nuts on everybody. I felt this like intense need, like this need to just clap back at every single person who might have said anything. Right. Whether it was online or in person or anything like that. Like I just I couldn't sleep at night unless I let you know exactly what was on my mind.   I was dying from my opiate addiction. Right. She saved my life and I had so many resentments towards her because she was an alcoholic for the first 20 years of my life that I just could not stop screaming at her. I was six months sober and she almost kicked me out of her house. Like she had to tell me like, Chris, if you don't get your life together, like I need to get you out of here because I was being verbally and emotionally abusive towards her and I felt terrible about it. Like this is something that some of you might struggle with. And this is something that I've talked about in some of my borderline personality disorder videos. Like a lot of people think that, you know, people with BPD, you know, BPD rage, if you will, like they get some kind of pleasure out of it. Like one of the issues is that people who are often like screaming and yelling and stuff like that, like they feel bad about it. Like I felt really, really bad. Like why am I yelling at this woman? Like I know she's trying her best. Like the logical part of my brain knew that she was trying to be a good mother and trying to repair our relationship. She was seven years sober at this time.  She let me live with her. All these things, right?  I would just yell at her and just say awful things. So anyways, here's my first tip of advice. And my background is in 12 step programs. So this actually came from my sponsor. Let me give you the same exact advice, right?  I feel terrible about it. Like she didn't deserve that. I just felt awful because that's one of the issues. Like we do things that make us feel guilt and shame and all these and start talking bad about ourselves. Like my brain's telling me I'm a terrible person. I'm a terrible son who does this, right? So I had to talk to him about this. And here's what he would tell me every single time. He would say, apologize to her and let her know that you're working really hard to become a better person and improve these things, right? So that's what I would do. Every time I would blow up on her and talk to him, I would go and apologize and say I'm working really hard. But here's a kicker. OK, here's the kicker for that, because this, this is advice I give to a lot of people who have anger management issues. I guess one thing to apologize and say I'm working on this stuff, but you actually have to be working on this stuff, right? Like if you're like me, who's given a million apologies, I'll always tell you, actions speak louder than words. OK, so like one of the reasons my mom and I have an amazing relationship now. And some of you saw the collabs I've done with her and stuff like that. Like I was actually trying to improve that stuff. And over time, I was I was learning how to heal and process things in a brand new way. I didn't have to explode on her all the time. I was able to vent in other ways or talk to other people or realize that a lot of the reasons I was upset were within me, you know, not so much with her anymore, but more within me. You know what I mean? So like, don't just go around apologizing. Like you're somebody who's yelling and screaming and blowing up on people who really don't deserve it, or even if your ego tells you that they do deserve it. Like if you go apologize to them and say that you're working on yourself, like you need to work on yourself. Like you guys got to understand, like I come from the addiction treatment realm and drug addicts and alcoholics have said sorry millions of times. But I would have people call me months after treatment and say, oh my God, like my family still won't forgive me. I've said I'm sorry. I've said I'm sorry. But like, I know enough about them.  So why are they going to forgive you? You know what I mean? So I want you to think about that. Remember, your actions speak louder than words. So like, what are you actually doing to improve yourself? Like, are you just sitting around on the couch, just hoping that you don't get angry and had outbursts? Or are you doing like therapy or talking in support groups?  Are you trying like DBT or anything like that? Like what actions are you taking to actually improve your anger management issues? Now, let's talk about controlling your anger and venting. So I always talk about my wonderful and beautiful, amazing girlfriend, Tristan. But something I have not talked about on this channel is the relationship I have with my son's mother. OK, she is remarried. They have another kid. So Dylan has a little brother and her and I have an amazing relationship. And a lot of it was because I learned how to control my anger. I cannot stress this enough to you. OK, one of the only reasons, one of the only reasons that her and I have a great relationship today is because of how many text messages that I did not send her. OK, so she had a lot of reasons to be angry at me. The same reasons I was angry at my mom, right? I was a drug addict and alcoholic. I left to California for a year. OK, I often say that the first year of my sobriety, maybe even longer, my name wasn't even Chris to her.  OK, that's all I was.  She was so mad at me and like she would always text me and just say terrible things to me and stuff. And like she had every right to, right?  So like whenever I talk about this, like just know, she's one of the best mothers I've ever met in my life. Dylan would not be who he is without her. But back in the day, when she was going through all those emotions and stuff, too, she said a lot of hurtful things to me. And my brain told me that I have to say these things to her. I have to say it to her. So the second half of the video, like I'm going to give you some really important tips. So one of the things was, again, going to my sponsor, but you just need like a mentor. You need somebody who's in a better mental state than you who you can turn to and talk to. So like when she would text me and say these terrible things, like I would go and I would vent to him, right? Can you believe she's saying this? I'm trying so hard to become a better person to get my life together. I would say all these things. And he would just listen to me explode and he would say, Chris, have you given her any reason in the past to be upset with you? And as a drug addict and alcoholic trying to stay clean, hell yeah, I did. And he would remind me of that. Like he reminded me that I'm the reason why she's so upset, right? Like I was a bad father, right? I wasn't even allowed to see my son the last four months because of my addiction. I did terrible things to her. I hid money from her. I put our family in danger multiple times. So like he would snap me back to reality and say, does she have a reason to be this angry, right?  I did a lot of things that made her feel a certain way about me, right? But anyway, so I would talk to him, he would get me back in the headspace. But there were so many times, especially when I moved back to Las Vegas, where she would text me and say these things or she'd like accuse me of lying or she'd accuse me of relapsing or whatever. And like she would say these things and I would type out a huge long text message, okay? Here's a very important tip for you, okay? First off, text, don't call. You can control your text, okay? You have time to reread them. You don't have to send them when you're on the phone or in person. Like if you have anger issues like I do and impulse control issues like I do, text, okay? Like wait until your mental health and emotional health is better before you start talking, having these types of conversations in person. So anyways, I would text a huge long thing and I would just like be talking smack to her or point out all the terrible things she did, that and all these things, right? So what I would do is I would not send it to her, I would copy that text message and I would send it to a friend. I'd said, hey, and I try to sell them on. I'm like, look at all these terrible things she said to me, right? So I'm trying to get them on my side. I'm trying to get them to enable me. So then I send them the text message and I show them what I'm gonna say back. I'm like, do you think I'm justified in saying this? And they'd be like, no, Chris, you're not, right? Because I hang around people who don't tell me what I wanna hear. They tell me what I need to hear.  Do not say that. You know what I would say?  But the thing was, since I surround myself with good people today, I'd ask multiple people and all of them would say, Chris, don't send that text message, right? So I would either just say, all right, you know, I'm sorry about that or sorry you feel that way and just leave it at that or sometimes I wouldn't reply. I will make a video about how to deal with people who say these verbally abusive things to you because I have some excellent advice on that that help a lot of people, it helped me a lot. So I will make a video about that. If you need help with that, let me know down in the comments. But anyways, again, one of the reasons that me and my son's mother have such an amazing relationship today is because of all the text messages that I never sent. Because if I would have sent so many of those text messages, me and her never would have had the opportunity to heal. Like one of us had to just shut our mouths, right? And when I try to teach all of you, it's a lot easier for me to fix me than it is to try to fix the rest of the world, right? I have absolutely no control over what she's gonna say to me, but what I do have control over is how I reply to that situation, how I react, how I respond to that situation, okay? So this is what I want all of you to know, okay?  So another thing that I teach my clients is this. It's something I realize about my brain. Like my brain just needs to vent, right? It just has to vent, it has to say these things, it has to get these thoughts out. The delusion that I think we have is that we think that those thoughts have to go out at that person when they really just need to get out, right?  Send every thought that you have to me, right? Because this is something that helped me a lot. Like I didn't have to say it to that person. I just had to vent somewhere. I just needed somebody to hear me get this stuff out. And if nobody was around, you know what I would do? I would write it down. Sometimes I would just hop on my computer, open up a Word document and just type a whole thing about how angry and upset I was. Then afterwards, ha, I felt so much better and I didn't feel this intense need to tell that person, okay? So yeah, like I'm giving you all permission. I give this all of my clients permission as well.  Now, that doesn't mean I'm gonna reply to it, but I guarantee you will see, you will see that it does feel better. But if it's not me, do it with somebody or even your notebook, okay?   And it says, someone said that self-care was also choosing not to argue with people who are committed to misunderstanding you. I felt that. And Thomas said, I felt this learning this. Yes, okay, so here's the thing. Here's my worry about Thomas. Here's my worry about all of you. I used to be one of those people who would post these things, right? I would share these things, but I wasn't practicing the principle of what I said. So this is something that I practiced today and I really do hope it's something that Thomas works on. I hope it's something that you're working on, right? But anyways, this is something that I talk to Tristan about all the time. So Tristan is a person I vent to. You guys, Tristan and I, I'm not gonna tell you who it was, but we were watching a YouTuber the other night and I was having a rough night. I was all emotional and worked up and I was whining and complaining to Tristan while she was over here. And then her and I watched this YouTubers video and this dude has over 100,000 subscribers and he just lost it. He's lost it on camera. He went through the process of losing it on camera, taking the file, putting it on his computer, uploading it to YouTube, making a thumbnail. Like he did all of these steps and I'm like, oh my God, like this is not the place to do that for that specific purpose. It was definitely not the place to do that. And this is what I'm trying to tell all of you guys, like you don't always have to like fight back. You don't always have to do that. Like Tristan keeps me in check.  Like you guys, I can't say this enough. So many people are getting taken down by one single tweet. It is important that we learn to restrain ourselves. If you're a YouTuber watching this, restrain yourself.  You don't need to do that. And this is for all of you too. You don't need to go tell everybody on Facebook. You don't need to go tell everybody on Twitter. You don't gotta share it on Instagram. You don't have to make this public, okay? Talk to one person or join the Rewired Soldier Facebook support group and vent in there.  Like it only makes us look bad. Like something I'm always trying to think about is like, what impression am I giving other people? How are people seeing me? Do I want them to see me this way? Or do I not, right? And a lot of people don't understand why so many people see them in a certain light. It's because of stuff like this. It's because of the way that they clap back on Twitter. It's because of the way they make these YouTube videos. It's because of what you're posting on Facebook or what I like to call vague book where you know what you do when you like make that Facebook post that's targeted as this like passive aggressive BS towards one person where you post it on your Facebook page for all like 500 of your friends to see. Like just stop it. Just stop it. It's childish. And trust me, I'm saying this because I used to do it too, all right? Sorry, this was a bit of a longer video. It's just anger management is something I'm very passionate about because I used to have so many anger issues, all right? So let me know down in the comments below. Like let me know if you struggle with like replying to people and clapping back at people and do you feel guilty about it? Do you feel bad about it? But like we do at the Rewind Soul, let me know in the comments, what's your solution? Are you gonna start writing this stuff down in a notebook?  Are you gonna start messaging me? I don't care what it is. Let's talk about the solution down in the comments, all right? And also remember, tweet at Thomas and make sure he reads that damn book. Okay? Anyways, if you liked this video, please give it a thumbs up if you're new. Make sure you subscribe and ring that notification bell because I make a ton of videos. And a huge, huge, huge thank you to everybody supporting the channel over on Patreon. You helped me do something I love which is spread a message of hope. And if you would like to help support the channel for as little as a dollar a month and I have some more Patreon Q&As coming up, make sure you click or tap right there on that icon. All right, thanks so much for watching.


I don't think that other cultures are different. I think they're worse and Islam is 500 years behind us. We were shitty We had witch hunts in position. We had the inquisition. They're doing they're not caught up to us yet They're not as advanced and I think two big problems with them as far as progress goes is the Quran is an exceptionally violent book Yeah, nothing to see here classical far opinion classical Western white colonial mindset I don't think that other cultures are different. No, they're not different at all Asians Africans. They're not different They're just worse very very simple right the white culture is so progressive so amazing We are just further ahead. Haven't you seen Iran before the revolution? Miniskirts miniskirts so Evolved so much ethically morally superior to any other culture


Hi, I'm Zor. Welcome to a new Zor education. Today we continue solving different math problems, which are part of the course called math plus and problems. So these problems are basically not exactly the standard math problems, which are supposed to verify whether you are correctly know the theory, so to speak. So for instance you have a theorem and then you have some problems which basically illustrate that particular theorem. Now the problems which I present in this course are a little bit of a different kind. They are supposed to kind of force you to think about this problem. It's not direct implementation of theory. It's not directly related to any particular theorem as an illustration. No, you just have to find your way somehow to basically solve the problems basically. So some of them might be a little bit more difficult. Some of them are easier, but maybe present some unusual result which you kind of don't expect. For instance today I'm talking about one particular problem which I myself kind of did not expect that the result of this problem is really true. It's kind of strange looking, but anyway it is true and I'm going to prove it. Okay, so this course math plus and problems, well it's based on the previous prerequisite course which is called math proteins, presented on the same website Unisor.com. Now all the courses are totally free, there are no advertisements. If you are studying yourself you don't even have to sign in. Sign in is for supervised studying, which is also totally free. Also on the same website you have physics for teens and for some interested people even the course called relativity for all, where I present the theory of relativity in relatively not very theoretical way. Well it is actually, but anyway it may be a little bit easier than some textbook. Now what's interesting about all courses on Unisor.com, they are presented in two ways, as a lecture which you can watch and every lecture has a textual part description basically, which is like a chapter of a textbook. So I do suggest you always to watch the lecture and read the notes for this particular lecture, which are really side by side on the website. Also what is very important, problem solving is useful only if you do it yourself basically. Now here I present the problem and the solution, which means that you probably would be much better if you listen to the problem itself and then pause the video, do not really continue watching until you think about the problem yourself. Whether you come or you didn't with a solution, then you can watch whatever I'm suggesting. Maybe it's a different solution than whatever you have. Maybe you don't have a solution then it would be the only one, but in any case it's very important to think. Because the whole purpose, the whole idea behind this particular course is to develop in the students this ability to think, to analytically approach the problem. After this introduction, so let me just go straight to the problems. The first problem and as I said, I did not expect the result of this problem to be as it is presented. Okay, so here is a problem. Let's just continue with a particular example. Let's consider function which is depends on natural number n, which is actually, well, it's 1 over 1 is 1, but it's more convenient if I will put it like this. So as you see, I'm changing the sign every time. So this is 1 minus 1 half plus 1 third minus 1 fourth, et cetera. And I am ending with 2 less 1. So let me just give you an example. For n is equal to 1. So this, the end should be, oh, I'm sorry, this is minus. Signs are changing every time. So the last one will be 1 minus 1 half, so it's 1 minus 1 half. 1 minus 1 half, which is actually 1 half. For n is equal to 2, oh, okay, I did it differently. n is equal to 1 column. It will be 1, 1, okay, right. For n is equal to 2 column, 1, 1 minus 1, 2 plus 1 third minus 1 fourth, whatever it is, et cetera. With n is equal to 3 would be 1, 1 minus 1, 2 plus 1, 3 minus 1, 4 plus 1, 5 minus 1, 6. Okay, fine. That's one function. Another function is, you just have half of these numbers, the right half of these numbers, but only with a plus. g of n is equal to 1, n plus 1. So there are two n numbers. The first n, I'm cutting off. And the right side of this half starting from n plus 1 will go. And that will be with all pluses, okay. So for n is equal to 1, it will be 1 half. For n is equal to 2, it will be starting from 1 third. So it's 1 third plus 1 fourth. And for n is equal to 3, it will be 1 fourth plus 1 fifth plus 1 sixth. So what's interesting is, f of n is equal to g of n. So some of these fractions is equal to some of these fractions. And that's what we have to prove. And that's where it's good if you will pause the video and think about how to prove it. Okay, now here is my solution. Well, first, by the way, I did it for n is equal to 1, 2 and 3. And basically calculated, I added these fractions, brought them to common denominator, I mean the normal thing. And it did actually confirm that this is equal. Now, obviously it was not approved because I just checked it for 1, 2 and 3. Now we have to basically prove it for any integer, positive integer n. Okay. Usually, if you have something like this to prove for any natural number n, the good way is to approach it using mathematical induction. So what is mathematical induction? You check it for some initial value of n. For example, for n is equal to 1. And by the way, for n is equal to 1, we have already checked it because this will be 1, 1 minus 1, 2, which is 1, 2. And this for n is equal to 1 will be 1, 2 only, which is equal. So we checked it for some initial value of n. Then we assume that it's true for some number n, just abstract number n, assume. And then if using this, we will be able to prove that the next one also would be true. That would be a sufficient proof. Why? Because if I have this, from this follows this, and I checked it from n is equal to 1 in this particular case, then I can say that, okay. If this formula is true for n, from this follows that it's true for n plus 1, now I checked it already for n is equal to 1. So for n is equal to 1, it's true. And therefore, it would be for n plus 1, which is 2. Okay, so now basically using this particular logic, I can say that if it's true for n is equal to 1, then it's true for n is equal to 2. Great, I've proven it for 2. Now, but since I have already proven it for 2, I can say then, using the same logic, it's true for 3, etc. So basically for any n, I can sequentially make this type of logical connection and go to million or billion or whatever number of n, which basically means that we have proven it for any n. Okay, so how can we prove that from this follows this? So for n is equal to 1, we have already gotten, right? So let's just try to prove this particular logic. Now, what is the difference between fn and f of n and f of n plus 1? Well, I'm adding two more numbers, f of n plus 1 is equal to f of n, and then two more numbers, which is plus 1 over 2n plus 1 minus 1 over 2n plus 2. So if I will put n plus 1 into this, I have to finish with 2n plus 2, right? So the next number will be plus 2n plus 1, and the next one will be 2n plus 2 with a minus n. Okay, fine. Now, the g of n plus 1 will be g of n plus 1 over 2n plus 1 plus 1 over 2n plus 2, but we have to get rid of this because it's supposed to be only half of these numbers, right? So if I start from 2n plus 2, then, I mean, if I end 2n plus 2, I should cut one of them because it's only half. Half of this would be n plus 1, so n plus 1 I should cut off. So starting from n plus 2. So I should really minus 1 over n plus 1. Okay, now, if I assume that these two are equal, how can I prove that these two are equal? Well, they just compare whatever we have extra here and extra here.  From the equality of this, I have proven the equality of these two, but just by basically comparing the extras, right?  Okay, so we have to basically prove that f of n plus 1 is equal to g of n plus 1. Now, how can this type of thing will be, how can prove this? Well, very simply, just get the common denominator, multiply them one by one by one with whatever the necessary is in the numerator. Let's do the calculations basically and see if it's actually equal. Now, I've done this calculation in the texture part of this lecture. I don't want to spend, it's trivial kind of thing, so I don't want to spend any time. You just have to trust me or you have to check it yourself. Now, I do recommend you to check it yourself that some of these, this plus this minus this, if you will get to common denominator and have the numerator completely open all the parentheses, et cetera, you will have exactly the same as this one. Because here we have three different multipliers in the denominator, 2n plus 1, 2n plus 2 and n plus 1. Here we have only two, but whenever we will just bring whatever is necessary to numerator and add them up, you will have in numerator n plus 1. So n plus 1 would cancel this and you will have exactly the same as this one. So I'm not going to do it, you do it yourself and you can check your calculations. I mean, it is equal. So if you do not get the equal, which is then something is wrong with your calculations. So yes, they are equal and that's why we can conclude that from this follows this. And again, using this mathematical induction logic, since I have already checked it from n equal n is equal to 1, then it follows that this formula is true for n is equal to 2, from 2 is equal to 3 is following, et cetera, et cetera. So we have proven it for every n. So it's a good illustration of method of mathematical induction, obviously. But again, it's kind of unusual result. I never expected quite frankly myself that this would be equal to this. Well, it is what it is. Next problem. Next problem is also kind of illustration of something which you know about quadratic functions. The illustration is a little bit more vivid. It's kind of physical, so to speak. Let's consider you have two perpendicular roads and you have two cars approaching the intersection. Now, at moment t is equal to 0. One car is on a distance a from intersection and goes towards. Another car is on the distance b and goes towards intersection. And let's just assume that a is not equal to b for a simple reason. We don't want any collisions because they are moving with the same speed b. Okay. So this is the condition. Now, obviously, when they are approaching, this distance is changing.  This distance should have some minimum value. Because they are not at the same time at the intersection. So the question is when exactly this minimum value will be? Well, to do this, we will just have to calculate the distance between them as a function of time. Now, what's the distance, let's call it a of t at the moment t? a of t is equal to a minus speed times time, right? If this is speed, this is the initial distance and every second we are reducing distance by v. Now, the b of time would be b minus vt. Speed is the same. Now, what's the distance between them? Well, if I know these two, this is a of t, this is b of t, this is hypotenuse. So the distance square of t is equal to a square of t plus b square of t. Which is equal to, let me just get another. So this is equal to a minus vt square plus b minus vt square. This is square of a distance. We have to minimize it. Now, well, we have to minimize the distance, not the square of a distance, but they are making actually this minimum value at the same time. So whenever the distance is minimized, the square of a distance is minimized as well, obviously. So when this is minimized, we need to find time, which I call t minimum, when this thing, this d square of t, whenever it takes a minimum value. Well, this is a quadratic function. So it's basically a parabola, right? So we know how to calculate the minimum value. So when it's minimum and what exactly the minimum is itself. Okay. In case you have a parabola, something like px square plus qx plus r, y is equal. Now, when this parabola takes the minimum value, when x is equal to minus q divided by 2p, this is definitely a known fact. If you forgot about this, you can check the course which is prerequisite for this one, mass proteins, whenever the quadratic function is explained. It's very easy to prove. Basically, it's supposed to be in between two roots of this, two intersections with x right in between. So that's what you will have. And the value, minimum value, would be if you substitute instead of x into this formula, you substitute this one and you will have the minimum value. Alright, so we will do the same thing, but we have to really bring it into this type of form. So what is coefficient at t square? Now, coefficient of t square will be v square and another v square, when we will open the parenthesis, right? So it will be 2v square t square. This is my d square of t. Now, what is the coefficient at v? Minus 2avt and minus b, 2bvat. So it would be minus 2a plus bvt. And if we remember, the r would be a square plus b square. From which we conclude that this particular thing, so instead of x, we have t. Instead of q, we have this. This is q. And instead of p, we have this. This is p. So minus q, which is 2a plus bd divided by 2pi. So it's 2p, so it's 2 4v square. So we have this 2, this, and we have a plus b divided by 2v. And this is t minimum. So at this particular moment in time, the distance between them would be minimum. Okay, so we find the time. How about the value? Well, to find the value, we just have to substitute this thing into this and see what will be. And take the square root, obviously. So let's see what happens. So v times t is t minimum. Is a plus b over 2, okay?  So that's my d square minimum. Equals. So it's no longer a function of time of t. It's just plain constant, which depends only on initial position in d. So what will that be? It's 2a minus a minus b, so it's a minus b square divided by 2 plus 2b minus. So it would be b minus a square divided by 2, which is equal to a minus b square and a minus b and b minus a. When it's square, it's the same thing. So we can say a minus b square divided by 2. So my d minimum equals square root of this, which is a minus b absolute value divided by square root of 2. And that's the result. So this would be the minimum distance. As they are moving, the minimum distance would be this. So by the way, if a is equal to b, they will reach the same, at the same point, intersection. Well, there would be a collision, but that's when we will have distance between them equal to zero. Otherwise, the distance would not be equal, minimum distance would not be equal to zero. Okay, that's it. I suggest you to read the notes for this lecture. And again, if you can, don't look at the answer or solution whatever is in the textual part of this lecture. Do it yourself first. If you can, great. If you cannot, well, then read the solution and basically learn from it. So next time it might be easier for you. That's it for today. Thank you very much and good luck.


What's going on everybody got Kyle here with late in sports cards and we are ripping two boxes for Chris G Got two boxes of 2022 2023 impeccable soccer first off the line Good luck Chris. Let's see what we got See some holland for you some Ronaldo go box. Go box, baby. Go box Taking it two or no Alrighty, there's the base pack and our metal bar Good luck Chris First up we had to 215 25 mason mount For Chelsea Base blue to 25 a little color match on the Chelsea mason mount This one is 259 interesting. Um um At a Robio at a Robio for fulham 259 on the base charlie jones. That's who everyone thought was going to score Another redemption. This one is a jersey to 65 impeccable stars of gunduan impeccable stars relic 16 of 65 redemption It is a virgin van dyke on the master strokes auto not bad there vvd from a liverpool Master strokes on the virgin van dyke auto behind that we have uh rpa or our jersey auto liandro din donker That one is three of 25 elegance jersey auto din donker This one is going to be said 99 auto of alan kennedy illustrious ink throwback for liverpool Alan kennedy illustrious ink to 99 And on the back we have impeccable auto to 99 master strokes of coal palmer Master strokes coal palmer for man city Saw the man city was hoping we had uh holland here coal palmer And our bar Jaden reed touchdown This one is going to be one of four robert sanchez on the fine silver uh one chore ounce of silver On the silver bar card robert sanchez for brighton One of four there. Well, righty chris. Let's turn it up here on this one box three impeccable first off the line Which way is the front? And we've got to uh 59 this one's nick pope for new castle Nick pope got jersey to 99 christian romero for tottenham Tottenham christian romero This one is illustrious ink auto it's a 49 chris kimara for leads definite throwback on that leads jersey chris kimara to 49 We've got chris wood only one of one. Wow. It's not expecting that on the green impeccable um jersey auto chris wood for knotting him Only one of one with a little bit of number patch there knotting him for his team last year chris wood on the match worn jersey Match worn there on the one of one We've got um sam greenwood. That is 259 indelible ink rookie for leads On-card auto greenwood not bad here We've got impeccable stars stainless stars auto is kdb kevin de brogne there on the um stainless stars three of 25 Nice kdb for man city Other one i was hoping was howling there. I saw the man city kevin de brogne to 25 And this one is uh to 18. That's going to be bruno guy merris for new castle rookie number to 18 It's a first off the line exclusive And we've got our bar card now. It's for tottenham one of four on the silver bar evan perisic Parisic on the silver bar card all righty there mr. Chris that'll do it for your two boxes of impeccable first off the line Thank you. Thank you, sir. We'll get those right out to you


Welcome to this module on the screw thread micrometer. Screw thread micrometers measure the pitch of the thread directly. The screw thread micrometer has a 60-degree pointed spindle and a double V-shaped swiveling anvil. The screw thread micrometer reading indicates the pitch diameter of the thread. When the micrometer is set at zero, the pitch line of the spindle and anvil coincide. When the micrometer is measuring the thread, it is measuring along the pitch diameter of the thread. Fixed anvil screw thread micrometers are those types of screw thread micrometers that can only measure thread pitches within a limited range. It is important to make sure that the screw thread micrometer that you will be using falls within the screw pitch range of a particular thread. With fixed anvil screw thread micrometers, 7 micrometers will be needed to cover threads from 3 to 64 threads per inch. The type of screw thread micrometer shown here has interchangeable anvils to cover a wide range of thread pitches. Whenever you change the anvils on the thread pitch micrometer, check the micrometer for accuracy. You have completed this learning activity. Screw thread micrometer.


What's good Josh the boy Ross back out again with another video so I'm here to give my thoughts and opinions on this year's Summer Slam And and not gonna lie to you For those who saw our live stream we we missed the first part like the first half of Summer Slam So we was able to catch the second half. We was at my friend's Wedding dinner yet a little wedding ceremony dinner before his actual wedding. So we went there to support him So that's why we missed the first half of Summer Slam But best believe you knew you knew we were gonna check out the remaining half of it And I just got home not too long ago and I just watched the first half myself So I'm gonna be giving my thoughts and opinions on everything as the show as a whole but I will say this before I get into it enjoyable Very enjoyable for the parts that I did see on the live stream and for the parts that I did see at home Very enjoyable, but let's kind of get through this man I don't want to waste or take up too much of you guys time man Let's get right into this one in the very first match the match to open up the show Becky Lynch Versus Bianca Belair me personally. I wasn't really looking forward to this match But I figured they would have still a pretty good showing and it completes their whole rivalry from last year Bianca getting squashed to this year Bianca getting her redemption. They opened up the show solid match. Um, I didn't know Bianca was from Tennessee So she was the hometown favorite people were loving for loving her the crowd was going Really amped up for her and what she had going on and it was a solid match It was enjoyable for the most part. I expected them to put on a decent match They've really they're really good together in the ring, but I think I Think a lot of us are really intrigued to talk about what happened at the end of their match So obviously Bianca gets the win which I predicted and we get a face turn We we somewhat get a face turn. Well at the time of watching it. You wasn't sure but I can't even think of her name Becky was basically like, you know Stretching her hand out for Bianca to shake her hand kind of reminiscent of when Bay Becky came back last year and she wanted to shake Bianca wanted to shake Becky's hand. So they shook hands. They hugged each other and then Bailey's music hit of course a lot of people have been speculating. I wasn't sure if Bailey We I figured she was gonna return, but I didn't think she was gonna return in that match I thought she was gonna return in the Rhonda match, but we're gonna talk about that. What happened there, but She returns but she didn't come alone She brought EO Shirai and Dakota Kai with her crowd chaining.  You know I'm saying so when I saw it happen live Crowd was happy and it looks like they're gonna align themselves with Bailey and she came back She's talking her trash in the ring with Bianca like you thought I was gonna come back by myself I got the best in the world with me and What was cool is seeing Becky stand right next to her like what's up? You know I'm saying you want you want the smoke and for the first time in quite some time You heard a Becky chance a very loud Becky chance which confirmed the face term I wasn't sure but this confirmed. She's a face now just just off of what we just saw there She's a face now and it's gonna be interesting what they do a lot of people are liking this move Bringing them up to the main roster having them aligned themselves with Bailey I want to see what they can do. There's more women in the women's division now And I'm very intrigued and this is gonna be a very good opponent for Bianca Belair and shout out to the people that was telling me I think y'all were Instagramming me will tell me on Instagram Hey, bro Ross, I think it's gonna be Bailey Bailey's gonna be the one to return and the phase Bianca you're right So I got to give you your props on that But ultimately good way to start off the show cannot complain about it We got a great return and we got an NXT call-up. So I'm interested to see what they do Definitely. I'm cool with them bringing up More people for the for the women's division. They definitely need it. All right Logan Paul in the miss I have to talk about this. I Saw a lot of you guys in the chat saying yo Logan Paul in the miss pretty good match Not gonna lie to you after watching that match seeing Logan hold his Hold himself like I guess you could say by himself. He's not in a tag team. He's holding his own in the ring Kudos Logan bro kudos. Oh man the one downside I have about this matches I really wish Tomaso Ciampa was doing his own thing. I really do wish he was doing his own thing I feel like he needs to be in his own type of mid card few and really start building him up And it looks like that's gonna happen with what they got him Potentially lined up with AJ Styles so the match Started off slow on the thought of what they're just kind of messing with each other talking trash to each other Misses a very upset to miss. I mean the miss is good in the ring Serviceable, but it was really the Logan Paul show he showed out. He showed his athleticism He showed that he knows what he's doing and I can appreciate it At one point in the match Tomaso Ciampa ends up getting, you know, he ends up getting ejected. That's when AJ Styles music hit I know they got a little beef going on AJ starts attacking tomorrow. So I think they're gonna have their own feud I'm fine with that tomorrow needs to be by himself feuding with someone to get himself More over and on the on the roster side. You need to stay away from is I Just didn't like him coming out there with matching suits with the miss wasn't a big fan of that But I get it is to set up what they got going on with AJ and Tomaso So I'm looking forward to seeing what they do together. I think that's a really good pairing But we got to talk about obviously the one of the craziest spots From the entire show.    That's the crazy thing when he's talking He comes off as a heel, but when he's in the ring and doing the moves comes off as the face crowd loved it I loved it That was a great match That was a that was a good that was a good solid match For miss to be for miss and for Logan for what they did. I enjoyed that match for sure Definitely enjoyed that match if you haven't yet go go watch it go watch it You'll be surprised by what Logan Paul will you saw what he did at WrestleMania? You probably won't be surprised, but that was very very good United States Championship match Bobby Lashley versus Austin theory This match was actually really really really quick like quicker than I expected it to be It was okay for what it was What was really interesting is the story that they're telling what Austin theory and they've been doing this for weeks actually ever since he's won the briefcase it's like He's the classic chicken shit heel, but for whatever reason he can't win matches I don't think I mean y'all could correct me if I'm wrong I don't think Austin theory is the one to match since he's won the money in the bank and here He lost the match. He muscle. He lost the match to a submission He tapped out quickly once again, and I'm okay with Bobby Lashley retaining Hopefully he can move on to someone else. They and they can really get a real good feud of real good program for the United States Championship This was an okay match. It's not something I'll remember. It's not not because it was bad I think their match they had and money in the bank was much better way better than this But it's just I'm really confused on what they're doing with theory because ever since he's got that briefcase He can't seem to get a goddamn win to be honest with you So this was a middle of the road map not bad But they've had they've had better at money in the bank in my personal opinion and Austin theory taps out very quickly and I'm not sure what happens, but we're gonna talk about him towards the end of this this crazy show We got the judgment day versus the mysterious notice qualification I did not care about this match because I'm tired of seeing this match. I'm tired of their back and forth I just want this feud honestly to be done and over with but I think a lot of us knew What the implications of what was gonna happen in this match? So I'm just gonna skip to that part because I kind of skim through this You know as I was watching I was watching a few parts and the crowd didn't really seem too too invested into it They started off hot, but I think people are just tired of this and they were really looking forward to You think you know me edge himself at one point the Mysterio is about to get sent to Gulags Finn Balor is asking for a chair This is a no disqualification tag and all of a sudden lights go out and you see flames going up these steps And then you see edge rising from the flames with a red jacket the black shades With a demonic look and he runs down the ramp way Kicks the hell out of Damien priests crowd's going crazy. It's a spear on Finn Balor Damien priests comes into the mix hits a spear on him Then he puts a fin baller on the ropes for the double six one nine the stereo six one nine and Ray It's the splash for the one two three victory I think that's all that everyone cared about to see edge and edges looking benign a cool at judgment day And that's what I'm excited about Now here's a it's a double-edged sword Edge I don't think it's coming back to lose. I think edge is gonna come back to dismantle judgment day and It sucks because that group could have been great under somebody else's creative I think it could it should have been great, but I don't see him coming back to lose. I think Judgment day is about to meet their judgment day And I'm looking forward to the promos and and what edge has to say here I think everyone was more hyped about that than the actual match the match. I Probably not gonna go back and watch it again I'm only gonna watch just to see edge come back and I think a lot of us were like that so it was okay, but hopefully this is the last of the Mysterio's and Judgment day no more, please Triple-H no more, but the return itself was the highlight of this whole match in segment Pat McAfee versus happy Corbin another banger Another match that I enjoyed thoroughly Happy Corbin coming out there per usual, but what made this entrance so great?  Oh my god. That was funny and also my guy Pat McAfee coming out there with some more Jordans and you know what's funny. Hold on. I'm about to get them for you I actually wore these shoes today Pat McAfee had these on during the match now They weren't the same exact version. I believe they were actually the DMP Jordans this one has the 23 on the back the other one actually has the jump man on the back But the fact that Pat McAfee had these on I say you got a win, bro You got a win for me, bro We both had the same shoes on you got a win for me match was great Pat McAfee He's just he's fantastic in the ring for someone that's not Traditionally a wrestler and it's another case of someone that takes the wrestling business series and they enjoy being out there They don't take it as a joke.  This match was fun back and forth Baron Corbin definitely healing it up pushing Michael Cole talking trash to Michael Cole putting on the headset Just disrespecting Pat. This was so good And I loved it the reference of getting knocked down and if you guys saw a smackdown Baron Corbin kick Pat McAfee in the jewels So it was a little bit of a revenge when the ref went down during the match Pat McAfee ends up kicking Baron Corbin in the jewels man, and he ends up getting the win and you know what? I'm okay with it package. He's great.  Love what he does in the ring I don't have a problem seeing him in future matches one-off matches because he's so goddamn good Pat McAfee's a gym It's an okay match. It's an okay match I think this would be one of the few matches on the show I would actually go back and watch again just to really be amazed at Pat McAfee out here given Giving it is all and credit to Baron Corbin for healing it up, man. It was very enjoyable crowd was enjoying it I was enjoying it so Now the undisputed WWE Tag Team Championship match the Usos versus the Street Profit special guest referee Jeff Jared Not gonna lie to you. It's kind of disappointed with this match Their match and money in the bank was better. This one was starting to pick up towards the end But for me, I preferred their match and money in the bank their match and money in the bank was much better in my personal opinion, but It seems like this match is planting seeds for something potentially bigger So towards the end of the match. I want to say and I correct me if I'm wrong. Maybe I think I think Montez Ford and hit like a I don't know if it was a frog splash or I forgot what movie had hit But he didn't get the three count. So he starts arguing with the ref like getting really irritated More than normal like he was getting in Jeff Jared's face like he was like, bro. What the fuck so we tagged in Angelo Dawkins or what not tagged them in or what not then the Usos tag team Montez Ford outside the ring throw him over the barricade and then they end up getting pretty much Angelo Dawkins by himself in with their finishing move or whatnot and right when Montez Ford was about to dive right back into the ring to break up the count the match was over he wasn't able to get there in enough time and It was kind of into my anticlimactic. I think a lot of people were expecting more from them in this match It definitely was for me It was still okay. I just feel like their match and money in the bank was better But the real story to tell here the real story to talk about specifically It's the fact that Montez Ford was just sitting there He just had this look this This i'm about to go rogue look like it just it was just like this look of Like despair and I don't know what that's about. I i'm i'm willing to bet They're doing something with Montez Ford He may end up turning here on Angelo Dawkins because you can he could possibly go with the Rose because of you that we lost type situation So it would be interesting to see would I want him to be heel and turn on him? No, I think they still need some more tag teams in the division, but I don't know We'll see but they weren't able to get the job done and I don't think they're gonna have another title opportunity against the Usos. Well, we I hope they don't because I don't think we need to see it again Honestly, because this was a they got a clean finish on that. So there was no screwy finish here So I don't know we'll see what they do But I'm really interested to see what they do with Montez because it's like they're planting the seeds Because of just how he was looking it was it was it was definitely different from how he normally looks All right, so this little mini segment of matt riddle I like this version of matt riddle matt riddle comes through the crowd.  I'm not done with you bro. Come out here.    Sometimes you got to fight And I like that aggressiveness. I like it reminded me if you guys remember when Seph roland's took over in xd He took over the show and because he wanted to fight he wanted he wanted to put his hands on triple h That's exactly what it reminded me of If it if that reminded y'all if y'all remember that when Seph roland's was trying he had to smoke he wanted to smoke with triple h and he interrupted nxt takeover One of very cool. Um a very cool moment. That's what that whole segment reminded me of so Definitely, I want to see where they take things and uh what they end up doing But I like this matt riddle the aggressive very serious.  All right, so we got the smackdowns women championship match live morgan versus ronda rousey I've been saying this for weeks It just doesn't make sense for live to win this match from ronda Not in traditional means. I can't believe it. I like live and live, you know, is a fan favorite realistically Just even on from a storage storyline standpoint. I just don't see it. We're talking about ronda.  It was very one sided towards the end of the match ronda has lived in another arm bar But live was able to get leverage and live Had her had ronda's shoulders pinned to the mat But live ended up tapping at the same time that the ref counted three or so we thought So live retained the title ronda's pitch you look at the replay Live morgan tapped right before the ref counted to three or what not and the ref didn't see her tap so With that being said Ronda goes road Oh, and it was great ronda tried to snap live morgan's arm and half tried to snap her shit off The ref tries to break it up. And you know what the ref gives for his trouble He gets since to the gulags as well the ref ends up in the arm bar He's writhing in pain They had to get other officials out here to break it off the ref was sent to the gulags live morgan was almost I mean she can you can say she was kind of sent to the gulags not all the way But she was definitely banged up and it looks like we may have a heel ronda, which I think that's what we've been needing I think that's what will be better for her I don't know if it can make her, you know, you know more entertaining on the show We'll see but a heel ronda that's there to kill people Damn there. I'm all for it. So I don't know how long live will hold that title I'm just being honest with you. I don't know how long she holds that title Uh, but yeah, we'll see what happens next probably their next match will be maybe a no disqualification Whatever the situation is, but I just don't see live holding it holding the title for long But I could be wrong. We will see but the match itself It's not something I definitely watch again. It wasn't that entertaining the most entertaining part Was the fact that ronda went rogue on multiple people at the end and I think she may have turned heel So we will see what happens with that one and of course The main event the undisputed wwe universal championship match roman versus brock last man standing This match was everything I wanted it to be This match to me Solidifies the end of their saga This match was probably the craziest last man standing match. I have seen in a very long time The last good one I saw was between roman and kevin Owens. This one I loved every second of it. The only thing we were missing was flaming tables. All right Roman doing his roman stick. What ebbs you got brock out there.  So he drives the tractor to the ring Lifts the little cage up the little shovel up hops on top of it sitting in it or like standing in it He has his own microphone in there by the way. Don't know where that came from He announces himself Roman is you know doing his thing. I don't know the titles and brock just jumps from it Attacks roman and the match is on way When I say this was It started it was one sided for the majority of the first half of this match Brock had total control suplexes all this other stuff. They started going outside the ring They started going into the crowd um suplexes on the floor um I look at the they introduced tables very quickly. They got two tables Paul hamming gets involved trying to distract brock roman hits a some more and dropped through one table Then roman hits a uh, I want to say uh, it's some type of power slam or like a it was it was He slammed brock through the other table. So brock's back is already bleeding a little bit from the table Fragments and stuff like that Brutal well, I wouldn't say brutal, but it was enjoyable.   He passed him out Romans out. I'm thinking all dawn the match is over. Please don't let it in like that Roman barely gets on his feet At this point, it's just looking like roman may be out of it. He's getting hit with suplexes He's just all over the place You know, I'm like, uh, this this may be it. He got hit with an f5 I'm like, this this may be it for my boy roman reigns Even though roman was able to hit a couple spears and still wasn't enough so Brock says, you know what screw this bro.    No He decides to move the whole damn ring with the tractor He pushes the ring the ref gets out of here quickly. He's like, I don't want no parts of this And I've never seen this ever in my life He uses the tractor to lift up the ring While roman is in it and roman just rolls out the ring Crowd going crazy me and dub going crazy chat going crazy. I'm just like, what in the hell am I watching? The ring is literally just standing in the air Everything under the ring is exposed the ring area is just tore up from it insanity So roman's dead out there The usos coming to the mix they get sent to the gulags for their troubles or whatnot Roman is able to hit a spear from the distraction Actually, what it was paul haiming tried to give the titles to brock like leave him alone Leave my tribal chief alone. That's when the usos came into the mix all this other stuff Just chaos ensue roman was able to hit the spear But roman's gassed he's tired Austin theory means the kid knew what's gonna happen. He runs out there with a ref Right before he hits roman rains with the briefcase lays him out Right before he could even say he's about to cash in Austin theory gets sent right back to the gulags for a brock lesson He f5s them right onto the suitcase onto the floor Austin theory is done Austin theory is done at this point brock lezner is trying to fight off the usos and roman roman hits Brock with a couple spears brock will not stay down. He won't stay down He just won't so guess what he does He hits him with one of the wwe. He hits him with the wwe championship belt cross the head won't stay down All right, cool. All right So, uh, I may be getting this out of order because there was so much chaos.  He still stands up hitting with the universal championship He still stands up.  They put the announce table on them They put everything on him. So brock can't get to the counter 10 roman stands on top and boom There it is roman wins because brock couldn't he couldn't overcome the carnage and trash and destruction That was on top of him and brock. I mean roman reigns retains the titles and um This was great This that last match Make the fans i'm willing to bet the fans went home happy. I went home happy That for me was nothing technical It was the last man standing match and it was everything I wanted except the flaming tables That's about the only thing i'm up with no love everything i If you would have told me they were going to destroy the ring But not how they normally do where it just breaks He literally lifted up the ring to throw him out of it You would have told me that I wouldn't have believed it. This was fantastic It was a 10 out of 10 because it was fun. It was just utter chaos Best fantastic way to end off summer slam. That was a 10 out of 10 match me I would go watch that again because it was so fun.  It was fun. I there was plenty of times. I'm like, bro I was I thought brock was gonna win it, but he didn't And hopefully this is the very last time we see this happen We don't need this no more. This was if that was their last match to end off their saga I'm okay with it. That was fun that match for me was a 10 out of 10 Is I Matches I call 10 out of 10s or matches I can go back and watch again You guys remember I think it was like a fatal four way I think I don't know if it was after great balls of fire or summer slam Where it was bronze stromen roman reins brock lesnar and samoa joe that match Total carnage. I think it was great balls of fire or summer slam. It was one of the two That was a 10 out of 10 match. It wasn't nothing technical about it. It was just fun carnage and a car wreck 10 out of 10 matches For me all matches that are 10 out of 10s or 9 out of 10s. They don't have to be technical classics They got to be matches and I'm willing to randomly on a Tuesday want to rewatch while I'm eating my dinner That's a match. I am going to forever remember and go back to watch from time to time Brock versus roman last man standard match where bach literally tried to Destroy him with the actual ring itself. That was fun But overall summer slam for me on a scale of one to ten. I'm gonna give this a solid eight This was a eight. This was a good good show Um the matches that weren't that entertaining weren't bad You know, I think it mostly comes to it comes down to the booking how they've been booked for weeks And you know really just repeats But the the returns the the the debuts The the matches itself some of the matches itself were very entertaining and that last match was great Everything I wanted it to be 8 out of 10 show for me 8 out of 10 This show actually makes me want to go check out monday night raw So if you guys want me to stream monday night raw I may actually do it because there's a lot of things that happen on the show That I really want to see what do they do with it got you excited to see what they actually do When monday night raw, how are they gonna recap things? What new story lines are gonna be created? So overall The first pay-per-view show booked by triple h or you know, uh head of creative by triple h 8 out of 10 for me. It was fun Fun, I suggest you guys go back watch some of these matches. Definitely watch, uh, the becky and becky and bianca Match it was was enjoyable. You definitely watch that and watch that for bailey's returning And the debuts or eo shariah and dakota kai I would go back and watch the logan paul match. That was pretty good. I would go back and watch, uh What's his name pat macrophy baron corbin Definitely go back watch the main event and then all the other segments of edge returning and ronda gorn robe Those are things you can definitely check out like on youtube and stuff like that But a fair amount of this show very enjoyable. Definitely worth your time. I give it an 8 out of 10 So comment down below. Let me know what you guys rate this show on the scale of 1 to 10 Did you guys enjoy summer slam this year, man? Let me know down below But I appreciate all of the support row to 90k. Appreciate y'all kicking with me. See y'all next one. Peace


Hey there friends, thanks for checking in. I have a question for you. Is the ammo shortage over or possibly a little less Painful and the reason I say that is because I have gotten so much feedback from viewers here that have told me They went into the local gun store. They went into some big box store and they were surprised at how much ammo was available before it was increased price and Availability now it seems to be just increased price And I think there are some reasons for that but I have to say possibly The price could be inches way down a bit and the main reason is that people are shooting less I went into an indoor range yesterday a Place that would normally have quite a few lanes filled. It was empty There was nobody there and eventually somebody came in but you know There used to be a lineup at the front desk waiting to get to an open lane and now it is empty It tells me people are shooting less. I know that there have been people on here that say, you know what? I'm waiting it out. I'm not paying these prices. It's a complete ripoff. I know better I have an adequate supply which also brings me to another point. I think stock pilers Settle down a bit. I think that because they have an adequate supply That they don't feel the need to go out and continually pay or overpay for ammo that they already have I also think that the scammers and the scalpers those guys that wait in line just to score any type of ammo They can get their hands on and throw it up on gunbroker and try to rip people off I think their days are over these guys who thought they were heroes amongst the two-way community providing a service that were really providing nothing more than money for themselves Created a huge problem. They were going to bite bite boxes and boxes of anything they could Even if they had no intention of shooting it just to make money. I think their days are over. Goodbye. You will not be missed Good luck I hope you go wait in line and you sit on this ammo because not many people are buying it I also think that the new gun owners may have wisened up to the increased cost of ammo Now many people who are new they typically get a box or two of ammo But when you have so many people buying guns and buying a box of two Maybe even a case or two that certainly hurts the market and I think that was a factor in this shortage I also believe that Remington well, I know for a fact Remington is now producing ammo now Remington is a huge producer They have been for years. They were shut down as they transitioned and now they are up and open open and producing Ammo that is adding so much to the market coupled with Federal CCI blazer that whole group is Pumping it out 24-7 now They had to rehire a bunch of people or and then trained new people to produce ammo Those people are now settled in they are producing ammo 24-7 adding so much more to the market Also, we have new producers and new Imports that we have coming in that is adding more ammo to the market. And so here we have an Increased in availability. I do believe that we will see some decreased and decreased costs I hope so because it's been crazy, but I do think the market has stabilized This is the first time I've ever felt this way through the feedback and through what I've seen and Speaking with people in my own life that say hey, I'm able to get this stuff now It really is amazing and we didn't know when the end was in sight I'm not saying the end is in sight, but I think we're starting to inch our way there Just a little bit what I have seen that is so frustrating are all these fake ammo companies I've seen them on Facebook. I've seen them on Instagram. I See their fake websites with their their phone numbers where somebody's Purchased some cheap little phone got a phone number with it and using that as a form to rip people off I know for fact, there are a lot of suckers out there that are paying for Ammo that is never gonna make its way to them and I'm gonna give you a little hint on how to avoid these people if they are charging and the deal is So good you say I have to get this I can't pass it up and their forms of payment is PayPal Venmo Bitcoin I'm telling you right now It's a scam and they're everywhere and they will they will come to you like they will Message you on on Facebook on Instagram. They will send an email and say hey look you look like somebody who enjoys shooting I have all this ammo and then we think man man Maybe I have my source here and it's completely fake They're they're all over the place and they're really hurting the situation and I think people are really getting suckered into it So I think it stabilized I think that we could see the light at the end of the tunnel a lot of it will depend on what the government does right now It seems like they're going after the ghost guns and a bunch of stuff is coming down the pipeline We'll see where that ends up. But in terms of The supply that we have and the potential of getting ammo out there. I think that it's getting better I think that it has stabilized. I think a lot of people are just waiting it out. They're saying forget this I'm not I'm not doing this anymore, and they're shooting less and then you couple that with the increased in production And we're seeing a little better situation and a more welcoming situation to the ammo market because for the last year it has been a Disaster if you like videos like this, please subscribe and share I always appreciate thumbs up button Thanks for watching and you guys be safe