Greetings fellow learners! In this video, we are going to talk about Q-Learning, but let's start this with an inquisitive question. Can you think of a scenario in your daily life where a computer or an AI could benefit from learning on its own, just like humans do? Now, this could be anything from optimizing your morning routine to tackling problems at work. In this video, we're going to explore how Q-Learning aligns with these real-world scenarios, so don't be shy to share your thoughts down below. We're going to divide it into three passes, starting with pass one where we just start with high-level definitions and then just get into more details for future passes. Pay attention because I'm going to be quizzing you later on. Let's get to it. What is Q-Learning in simple terms? Well, to help me explain this, we have our trusty robot Frank. Frank, say hi. Hello. What a cutie. Frank here is going to navigate this environment. In order to navigate this environment, it uses a Q-Table. You can think of this Q-Table as Frank's conscience that tells Frank what to do in every situation. All right, I see where you are, Frank. So what do you want to do here? My Q-Table is telling me to go right. Gotcha, gotcha. All right, now that you're there, what about now? My Q-Table is telling me to go down. You go for it, buddy. Now, this is a simple world of just nine grid squares where there's a finite number of states, but what if there were a lot of states?  It would literally run out of memory. So instead of having this table as a conscience, it's probably better to just have a function as Frank's conscience, and this function would just take in a state and an action, and it would output some value that emphasizes how good that action was taken for the state. This value is known as a Q-value, by the way. Quiz time. Have you been paying attention? Let's quiz you to find out. What role does the Q-Table play in Frank's decision process in the simplified world of nine squares? A, it directly tells Frank what action to take in each state. B, it serves as a backup memory for Frank in case the Q function fails. C, it's used for aesthetic purposes to decorate Frank's environment. D, it has no impact on Frank's decision making, and he relies solely on the Q function. Comment your answer down below and let's have a discussion. Now, at this point, if you think I deserve it and you love Frank, please do consider hitting that like button. That'll do it for quiz time for now, but keep paying attention because I'll be back again. So we replaced this giant Q-Table with a function. In the context of AI, this function is typically a neural network. So Q-Learning is to learn values in a Q-Table. DQ-Learning is used to learn the parameters of a Q-Network or a neural network. Now this Q-Network is randomly initialized and represents Frank's conscience. We have a target network that represents the ideal conscience, and this is the same architecture as the Q-Network. The goal now is to compare Frank's current conscience with Frank's ideal conscience. And from this comparison, we can compare them, get a loss, and use this loss to update the parameters in the Q-Network with back propagation. And then the cycle repeats. In the next pass, we're going to get into more details. But for now, in order to train this network, we actually first need to take a step back and collect this data. So let's just talk about that very briefly. So this data collection, first of all, is done using this Q-Network. It's first randomly initialized, and some state is chosen. The Q-Network will generate the action to take. This action is taken, and then a reward is gained, and the agent goes to the next state. So the quadruple of the state, the action, the reward, and the next state is then taken and stored in some memory called the experience replay buffer. And we repeat this process of just choosing some state, producing these quadruples, and storing them. So this data is now in our experience replay, and then can be later used to train our Q-Network, which we just discussed before. Quiz time! It's that time of video again. Have you been paying attention? Let's quiz you to find out. Why is experience replay considered beneficial in deep Q-Learning? A. It helps the Q-Network generate actions more quickly. B. It stores the Q values for future reference. C. It breaks the temporal correlation and improves learning stability. Or D. It ensures that the Q-Network is always initialized with the ideal parameters. Comment your answer down below, and let's have a discussion. That'll do it for quiz time for now, but once again, I will be back, so pay attention. Now there are two phases that we discussed in past two. That is the data collection phase and the training phase. So let's talk about both in detail, starting with the data collection phase. So first we randomly initialize the Q-Network. We choose an initial state. Pass it through the Q-Network. And the number of neurons, by the way, in the output layer of this network is the number of possible actions. So each neuron outputs a Q value for the input state at a specific action. So for example, if we could only go left, right, up, or down, there would be four neurons in the output layer. And each of these neurons would correspond to a Q value for each of those actions. So we then choose an action in an Epsilon greedy fashion. We take the action in the environment or in some simulated environment. And once the action is taken, Frank will get a reward. And Frank will also be in a new state. So now we take that quadruple that we just described, that is the state, the action, the reward and new state and store it into the experience replay buffer. Now we can randomly choose a new state and repeat the process of collecting the data in the experience replay buffer. And this is the data collection piece. Now on to training. Now we have this experience replay, which has a lot of data. And we can use this data to train the Q network. So let's take a batch of this data. Now in this case, just for explanatory purposes, let's say the batch size is just one example so that we can see what's going on throughout. We feed the current state of the quadruple into the Q network, we get the Q value corresponding to the action in the quadruple. And then we also take the same current state, pass it through the target network, and we get the highest Q value there. Now we take the reward from the quadruple and add it to this target Q value. So now we have two main values, one from the target. It's an ideal Q value. And then we have the current Q value. Now we're going to compute the mean squared loss using the Q networks Q value that represents Frank's conscience. And the target final Q value that represents the optimal decision. This loss is then back propagated into the Q network, and the parameters are updated. So Frank learns, but the target network remains the same. Now we repeat the process for a few batches where Frank's conscience continues to learn, but the target network still remains the same. And then after a few batches, we will update the parameters of the target network to then match the Q network, and then continue. And eventually, Frank's conscience and decision making improves, and he's a champ. Quiz time. I'm back. Have you been paying attention? Let's quiz you to find out. Why is the target network using the training process of deep Q learning? A, to randomly initialize the Q network. B, to represent Frank's current conscience. C, to provide an ideal reference for parameter updates and improve learning stability. Or D, to store experiences in the experience replay buffer. Comment your answer down below and let's have a discussion. Now that'll do it for quiz time for now. And unfortunately, I'm not going to be back again. So before we go, let's get a summary of the video. A Q table represents an agent's conscience. The DQ networks combine Q learning with neural networks. DQN construction has two phases, a data collection phase and a training phase. The data collection collects independent quadruples of experiences in data stores called the experience replay buffer. And the training phase trains the Q network using data in this experience replay buffer. And that's all we have for today. But if you want to know information more about the raw Q learning algorithm, do check out my video right on screen here. And as always, thank you all so much for watching. Please consider liking the video if you do think I deserve it. And I will see you in the next one. Bye bye.


All right, waiver wire grabs for week 12. If you're still in it and we have 12, I'm proud of you. Congratulations, everybody. First up, let's go with Seahawks running back. This is Zach Charbonnet. Here's the deal, Kenneth Walker. We saw him limp up the field. He had the oblique injury. And then they've got this quick turnaround against the Niners. Daniel Dones doesn't know if they play on Thursday, but they do Thursday night. And Zach's in for a heavy workload. Play him. Next, Raven's tight end. Isaiah likely. Okay, Mark Andrews. We know we're sad. He's out for the year. Not fun. Likely, he's going to get some opportunities here to shine. He's really athletic. He put it all together, and I think he will. We could see him put up some big performances down the stretch.  Finally, we can't get enough of Jayden Reed people. You got to find these bad teams, these players that are doing it, garbage time, whatever. He's finished as a wide receiver, one and back to back weeks. He's getting more and more involved in the run game. He's got to be on your roster at this point. Is he a start? Probably not automatically, but they got the Lions on Thursday. They got the Bucks in a few weeks. You can spot, start our guy, Jayden Reed. Okay.


on whether you buy the real models or just use the proxies. That's it. So there you go. Okay. Who else we got? Sylvaneth. Sylvaneth. I'm going to tell you where I'm going to jump. I'm just going to straight shortcut this one.  I think they are harder to play than cities because you're tracking a lot of different things and using strike and fade properly is really hard and all that kind of stuff. They're very complicated to paint often for a lot of the newer models like the bugs and things like that.  And now there is like a decent amount of secondary market availability, especially for like straight tree people stuff. But they also, you've got to buy trees.  You're going to need at least two full sets of trees on top of your actual troops. And, and that because I admit the minimum you'd want to have at your disposal is kind of six wood pieces, right? So, um, yeah, I mean, it's that simple, right? So not only is there, do they carry a relatively high price, but they also play carry a relatively high complexity, bad starting army, tough to play, tough to play right. It's a finesse army. Finesse armies are always harder to play, right? That's just, that's just what it is. Okay. Fire slayers. Quite expensive. They are quite expensive. They're not difficult to play right. It circles and pushing forward. Yeah. I mean, correct me if I'm wrong, but this is just close to the right side, upper middle tier of complexity, right? Like not, not, not, sorry, lower middle tier of complexity is what I mean, but the towards easier to play. Yeah. Yeah. Yeah. Yeah. I mean, one of the advantages of fire slayers is it's really not a complicated army to, to pilot. Like it's, it's pretty straightforward. You got some buffs. You got some runes. Right. Yes, it's a bunch of cool ones per game, ones per game, ones per game, ones per game. Yeah. Yeah. Sure. That's funny. Yeah.  Yeah. Like you're not really tracking that much stuff. I, the one thing I don't hate about once per game stuff is, yeah, you got to remember it, but once you use it, it's done, right? Yeah. Yeah. It's just resource management. Yeah. But it's like, you have a couple Grimwrath berserkers. You've got some Hearthguard berserkers. You've got a couple units of, of Volkite berserkers, right? And then it's, and it can be as simple or as complex to paint as you want it to be. Right. Yeah. Yeah. Just, yeah. Because it's all skin, right? Yeah. They are boring to paint, average Joe asked. No, I don't think so. I think you can do some, some perfectly fine stuff with them if you like the aesthetic. You can make really beautiful fire slayer models. Like I did a free-handed like a lava pattern, like it's like growing out of their rooms, right?  For, to represent the work safe. And that was a wonderful, interesting paint scheme, right? That was really kind of visually gripping. And it was, and it was enjoyable because it was all freehand kind of like free flowing fun. Like once the base model was done, you just went in and went to work. Right. Yep. Let's break in. So that was really enjoyable. And it was, you know, like their muscles are super well-defined. So painting that kind of skin is easier. Yeah, I agree. All right. Daughters of Cain, doc. They've historically been very expensive. Yeah. And I would say that their complexity is middle of the road. Um, they have, uh, their armies look a lot today like they did in 2019. Yeah, sure. The funny part is, originally they were far more complex than they are now. It's hard to win with them now because they're like an army that doesn't want, that like its play style does not do anything in the current meta. Like they're very hard to actually win with, but play, play, they're, they're pretty fine. Yeah. You just want to push things forward and hit stuff. They block. Yeah. I think they're a little more complex than fire slayers. There's a little bit more management of stuff, that kind of thing. But I think they're a little lower cost than like fire slayers or KO or anything like that. Time has given us more secondary market availability, more 3d print options, things like that since their original release. So, yep. Okay. How are we defining expensive? A kind of amorphous understanding of like, what would it be to buy the whole thing at retail, but then also factoring in like secondary market availability, 3d print, alternative sculpts, all that kind of stuff. Like what's, what's that is? And it's just kind of all amorphously in a pool together. All right. Last one, Tom. In general, we have not, have not been doing paint difficulty. No, we haven't. Yeah. Okay. Last one. Skaven. Day Rats. They're on the bottom. Yeah. They are very complicated to play. Yes. They are very, because like here's the deal. Like the fact that the winning list plays completely like doesn't play the game. It plays some other game, right?  But it's just a different type of set of wall. It's not, until we'll cast winners, it's warded powers. Yeah. Yeah. Sure. So in that sense, it's not difficult. But that's of course not going to, again, that, how long does that? That's not, that's not it. And that's not an intuitive, like when you look at that book, something to think about, right? Like that is a designer, like meta built list, like it is built to our meta. And so I like it is a very difficult list of army to play. And in general, like it is not a cheap army to build. Like there's a lot there. There's a decent amount of stuff still out on the secondary market. There's quite a lot of 3D prints available. Like because it's such a box, like that was a wonderful box that had a number of wonderful sculpts available of both clay and rats and storm bourbon and towers, right? Like that was, like the bulk of that crazy list is all available for free in that stuff. Sure. This is another like massive range though, right? That's setting on a refresh. Like honestly, right now, I think this thing is way down here with like slanash or something like that. It's so many kits. It's like if you were trying to actually collect this army, it's so many kits. It's so many traps. It's so complicated to play. It's maybe like, it's maybe one of the most complicated armies to play in the game right now. If not the most complicated, honestly, because you're like, you're made of paper. You can't win on normal terms. You have to be sad. No, like sacrificing your pieces is exactly the wrong time. Let me tell you a quick story. I'll be to make this very fast. I was playing against new FEC. Okay. I made one wrong move with a scaven hero I had and I was like, well, yep, he's dead and that collapses that whole side of the board. Everything fell apart. Like cause I made one wrong, like I redeployed wrong. That was it. Right. And like I lost a piece at a time. I couldn't afford to lose a piece and that whole side of the board collapsed because I lost the hero, right? Cause I didn't see, cause I didn't notice that I was redeploying him wrong. That's it. Like that's the kind of, there's no forgiveness with scaven. You make one wrong move. You're dead. You lost your stuff. It's gone. So it's really hard to play that army. I love it. I love the army, but it is super complicated to play, to play well. Like that's it. You, you make one wrong move with one hero.  If you don't have the right support for them at the right moment, it becomes trash. If it loses its power pair and so on and so on and so on. Right. Set up one model, ambush into the wrong spot, get your things accidentally cleaned up, roll some bad dice once you're done. Okay. So there you go. Pick up your choice. Pick up your choice, mate. There you go. That's the, that's the, that's the breakdown. So here we go.  And then at the next wave out, you have like nurgle, oracora clans, and corn. Right. Okay. Yep. All right. Yeah. I mean, I think that makes sense. That's a great place to live. Yep. Absolutely. Okay. How important is play well and what does play well mean? Like how easy, how easy is it to actually play the army and give a good game to utilize its rules at your disposal to actually play a competitive game. All right. The more complicated, the more knobs that turn in a more fiddly fashion, the harder that becomes. All right. Expanding the force. Uh, I think in general, Tom, this we can just be, we can, we can talk about this real quick. This shouldn't take too long. Let's say do we have another chart to do? No, we don't. We do not. Okay. I just wanted to have a quick note. Do you always like, this was just an interesting sort of philosophy thing. A couple of quick questions. Do you start with a 2K list or a 1K list or something like that? Like how do you start and what do you consider like your milestones? How do I start collecting? Yeah. And what are your like, what's your milestones? What do you say? Okay. I've got something functional now. You see what I'm saying? Yeah. I aim for a thousand points and then 2000. And like I know often we'll have a 1500 point stop over. And so what normally happens is that I build a thousand points. I take that thousand and I build a 1500 that has some flex in the thousand that, that lets me move around. And then once I've done that, I take that and go, okay, what can I utilize here? Then the hope is, is that of that 15 bulk of that will cover my 2000 points. That's often how I will like all conceptualize. Now, if I see a good deal like FEC when I decided to pull the trigger because there was so much out in the market because so much had not been scooped up yet used and so I like did the math, looked at what it would take. He's like, okay, I was gonna buy, I was gonna buy the new box. Cool. But then I was like, well, I want a marrow scroll. So I need to get a hold of a gerian's box. And then I did the math and I'm like, okay, well, I may never use a second marrow scroll, like I might, but it's very possible that I would only ever use one. But when I did the math and looked at everything else, I knew that I was gonna want at least 18 horses. I knew I was gonna want at least 18. So that I could run the variants of those two, you know, those two extremes. I already had four, like starter boxes. And so then I'm like, okay, I'm only a couple steps and basically all the permutations of all army by buying like these samples. Yep. And so now with the new launch, the only thing that I'm waiting on, waiting. Who's your on? Who's your on? I'm waiting on the judge, the court man. And I'm waiting on probably one more box of nights. I don't think I would do heavy expand, but I could do a solid six. I mean, I have three. So another six feels right. Yeah, yeah. Six feels like the right number. And at that point, like I feel, I feel pretty good about basically everything in that arm.    Sure. So at that point, like I did the math and I'm like, for a little bit more right now, I can have permutation of everything in the entire. Nice. And I was like, okay, I'm going to do that. So I pulled the trigger on that and almost everything's built at this point. Most things are based and painted or based and I have all basically have one more wave of priming when the new models come in. And then I'll have. So sometimes I just, I like, I figure out what the path is. And if it's not bad and there's good deals on the market, I'll scoop everything. So I never have to buy another model of it. Yep. I think I have the exact same milestones as you, which is one K. So we can do a team tournament, right? Or a doubles event, team event, a doubles event, whatever you want to call it. And then 1500 because we often play 1500 point games here like in, like multiplayer games in multiplayer games. We don't, you do to full 2000. So I have a lot of 1500 point availability. And then two K is all to me when I'm like, okay, I can, that's like my milestone where I can go, okay, I have an army. And I, you know, I have this note here about understanding the main medic cadence and why you're playing the army. I think it, you, the trap you never want to fall into is building exactly like some current meta list, especially if it's a skew list, because it's so easy for those things to get broken.  I'm going to buy the exact 2000 point list I want to play because here's what happened. You do that.  Right. Exactly. And so like, I think you do have to go a little over, right? You have to have some flex and options in there. So it's not like you stop just at two K.  I would agree with that. And so then like that, like once I like to get a playable like variable, I'm going to play hit about 3K and then the next stop obviously is what do I need to run permutations of? Yeah. And some of that I've left behind because there are like just units that like my doc army is about 3000 points exactly. And I'll never expand it. Like I'm happy with it. Right. Yeah. Because I don't have that many sisters or witch elves. I don't need them. I don't care about that. Yeah. And you would never, yeah. That's not so. Right. But I have like tons of snakes of different snakes, right? Because I love the snakes and stuff like that. I have multiples of the big chariots and things like that because I love that stuff. And you know, so like that's to me, that's, you know, that's where I, I, I'm like, I got to that point and I said, I'm done. I'm done with this army. I have everything I would want with it. I'm good. Like it'll vary around in points. I'll build different lists with it. I have enough flex to compensate for up or down. And I'm good. I have done what I came here to do, right? Whereas like with my slanesh force or my scaven force, when can I call it done? Never. Like I've continued to add new models for ever and ever and ever to those forces because they're like my primary armies that I love, right? So I'm just, I'm always happy to add more stuff to them, that kind of thing. Yeah. Like I hear that. But what I would say is this, like can hit certain points where you just simply would never realistically add more to that. Like, and what I mean by that is this, like I was doing the math and realized that like, I have hit a point where I am over in night home where like, it's like, there's just no permutation. There's no work. I'm going to add more of these things. Sure. And so like, I have a box of hex. And I looked at that and went, I'm never like, I have 20. I'm never going to run. Yeah. Yeah. Yeah. Sure. You can hit a point when you go and that's just it. That's the dock side, right? Where you can, you can hit this point where you're like, I have everything I would conceivably like to run, especially in smaller forces, you can get there a lot sooner. My iron jaws, another army I love, I didn't add a freaking model to basically because I had everything I wanted in the permutations. I wanted again, about 3000 points. It's a seven war school army didn't need anything else. I was happy. Right. So I didn't add it to it until literally they released more stuff for the Yeah. Right. Okay. So like to me, it's about setting those milestones and then being able to use those things in interesting ways. So like that one K two K three K milestones. And then I think you can stop at a certain point and just go, yeah, that's good. I like, I'm happy enough with what I have. I don't really feel like I'm going to ever need to expand this thing any farther. For now, you might return to it years and years later, like when they do some expansion or something, but you don't need to. Yeah. Okay. And then here we go. Let's talk challenges, Tom. Okay. What do you do when you lose steam in a project? So I want to, I want to close out Tom here with just the last few minutes with us sharing some advice with people about powering through. Okay. Okay. What do you do when you've lost steam on a project? You're trying to fight your way through, but you define lost steam. And what do you mean? You're painting the army and you don't want to paint the army anymore. You can't, you don't find yourself painting the army. You think about it and you go, Al, I'll vacuum my house instead. Right. Okay. So if that's the case, then what that means is for me is I'm just interested in it. It's no longer, or it's not going to be able to perform in the met, right? Like in a way that I want it. And if that's the case, it goes on the shelf. Sure. Like I just, like I don't, like at this point, I don't ever, and I don't like to be very clear. When I say I shelve it, I don't mean that I'm never going to shelve it again. I put corn on the shelf and I will, I will pull corn back off. That will happen, right? Sure. But I've just, like I've learned to adopt a longer game of a year, two, two years per army. And just understanding that, like, I'll come back to it when I feel ready to do that. And when the meta, and so learning how to be, one, I learned how to just be content to things away. Not, I don't need to sell them. I don't need to do that. I'll box it up and I'll come back to it. That's the first thing. The second thing is sometimes you just need to breathe. And when I need to breathe there, I know, like, I know Vince has a bunch of different techniques for this. When I need to breathe there, I try to often jump to terrain. Terrain is one of those things that I always kind of like refresh on. I love doing terrain stuff. And so I always enjoy that. Or endless spells.  But I learned this technique from you is I will often alternate units by doing, like, I am a bulk painter first. And so, like, I will primarily put most of my energy into the things that I don't want to. That's right. So start with the things you hate the most first. Save those inner pieces and the big models and the fun models for the end. Eat your meat before you have any pudding. Yep. And so, like, I, for my ghouls, like, I'm doing, like, that's all my 100 points that's what I'm starting at as 40 ghouls. And so, and actually, like, I'm enjoying the 40 ghouls. So it's not been a slaw, right? Like, that's the fears that it would be a slaw. It hasn't been a slaw. But I'm knocking those out first. And I've taken my Morbeg knights and just set them in the corner. Like, I'm not even doing, like, base coat details, right? Sure. Because of how complex they are. Like, I've been doing, like, batch painting all of the hair and the bone and all that on the entire army except for the Morbeg. I've pushed them off completely. And I'm doing, for me, because it hasn't been bad, I'm batch painting everything. But oftentimes what I would do, I would do something like that. I would do ghouls first, highest model count, most, like, tedious, most, like, mindless. And then once I get, like, my first big unit done, then I'll jump and do a hero. Yep. And then I'll jump back and do a modernized unit. And then I'll do a hero. And so that has you, like, painting different things and the speed of completion changes. And so that's always super helpful. Like, after a slog, you want something that you can knock out to and see real progress. Agreed. And feel like, yeah, it took me, you know, these 20 models were 160 points.  But then I do one model, that's another 15%. Right. Right. And so then, and I'm moving back and helps the rhythm of doing that. And so, like, I would think long and hard to plan out, like, of your thousand point army. What you're gonna do when, yeah, yeah. What you're gonna do when, what is the first thing that you do, what do you not want to do, right? And then, and the things that don't matter, you want to start on those things. Like, if you're batch painting, because you need to get your technique right, you need to get your highlighting right, you need to get your, your scheme impeccable so that when you start hitting those heroes that matter, your free hand is on point, right? Your highlights are on point. Yeah, yeah. No one's gonna see that ghoul that you, you experimented on a wash and get the wrong wash on, right? No one's gonna notice that.  And so, don't be afraid to, to experiment on that, those early stages, and to do your batch painting, and then kind of move into some of the detail stuff. And again, alternate your rhythms. Those are the things I use to make sure that I never hit those stalats. Yep. Absolutely. Awesome. Agree with all of that completely. So, I'm gonna rapid fire mine, and you hit a bunch of them already, which is one, plan out your, your points, think about your units you want to paint, paint the biggest, most unfun things first, save the singular things, the small, single characters, the fun centerpiece models, stuff like that, save those for the end, or as intermediate rewards for doing the larger tougher thing. So, you know, plan that order. If you find yourself burnt in the middle, you mentioned terrain, great. Grab a random model for something you have no intention to play that whole army and just paint it for fun, paint a war cry warband or an underworld's warband or a warband for another game. Maybe, maybe you're playing Majestic 13 or Space Station Zero and you got to get your new crew there available now from Snarling Badger Studios. Check it out, links in the description. If you're looking for some fun skirmish games to have cool painting projects to break up your army stuff.  You mentioned terrain again, yep, totally agree. As well, you can also just step away and do something else that isn't painting, like do a bunch of assembly for a week, right? I love just building. Yeah, go to an assembly and filing and cleaning phase where you're just getting everything together on a force. That's fine too, right? That's still absolutely making forward progress. It's just a lot less stressful and annoying and it can sometimes reset your internal thing. Bit sorting, really important.  I've seen people do that before. Don't.  And you know what you can even do if you're willing to like put a little bit of time and energy in is trim the little like clip points off and clean mold lines on your bits. I know that sounds utterly ridiculous, right? But just a little bit of time once you, when you clip it and doing that, if you get the little sander that Ninjohn talked, the little sander pen, mine should be here this week of cleaning off those mold lines and stuff. That is super, super easy to do. It's fairly mindless. You can put some TV on or whatever and it's making progress in the hop. Yep, agreed. W Husks said, I frequently paint those cheap and simple D&D minis when feeling burnt out with the current project. That, yeah, exactly. Exactly. Yep, perfect. That kind of stuff. Also, so you can do a different type of thing, like assembly, like you mentioned, like cleaning stuff up, right? Paint different, different stuff. You can also, if you know you're the person who wants to work with deadlines, have a deadline, sign up for a tournament or an event or something like that. If you work well with deadlines, if you don't, don't do that. Know whether you're a person who works with some kind of deadline well or not, you know. Nothing motivates me more signing up. Yeah, for Tom, having tournaments is why he gets armies painted. For you, that just might be undue stress. So, like, know which type of person you are, right? And then act accordingly. Yeah, that's exactly right.  Absolutely. Everybody's got board games and minis unpainted. Like, let's be honest, get out some of them, want something like that and pay and do those. Len says, I watch you guys when I'm burnt out. Hey, all right. Hopefully we can get you some motivation there, Len. Absolutely. So, you know, I think all of that's fine. I think all of that's a good thing. You can also just work on two projects at once. If you know that you're not going to have the steam to get through one army. Some people work best with two different army projects. So, like, do a unit from this army, a unit from that army, a unit from this army and another unit from this army, and then some character from this army, and then so on, right? And you're kind of just like building it up. I often times have a, I often, most of the time have two projects going on. Now, for me, that's like a display painting project and something to do with an army, right? And so I can get both of those tastes at once, right? And get the sweet and the salty or whatever, right? I don't know, whatever. Minus normally building and painting. So normally, my two projects are I'm building some army and I'm painting some army. And if I need a break for one, I'll jump to building for a day or an evening or whatever, and then I'll jump to back to painting to get it. Yep, exactly. So all of those strats can work out, you know, see what you can do is my answer. Like there's always options. Don't feel a failure. Everybody hits those points. That's what I'm trying to say. I've hit it. Tom's hit it. Every hobbyist I know has hit it. Period. It will happen. It's not about ever getting to a point where you don't hit those walls anymore.  That's it. Okay, cool. Very good. All right. Well, Tom, thank you, buddy. That was a good show. I hope we gave some people some interesting information and helpful stuff there.  Subscribe, do all those things that make all those things. It helps other people find the show. If you want to support the show, there's lots of ways you can do so. There's a merch store down below. As I mentioned, Uncle Adam and I's games are down there. You can pick up one of those. We'd love it if you checked out our games. If you're looking for maybe a small fun side project, a good skirmish game from Vince and Uncle Adam could be exactly what the doctor ordered. I just finished the draft of basically at the new year of our next game coming out this year and Tom's going to start development very soon. So I'm sure he's excited about that. It's going to be a lot of fun. Look forward to this one, folks. But there's also a Patreon down there, which of course is focused on hobby, exactly this. Getting that stuff painted, getting review and feedback, and taking your next step on your hobby journey. We appreciate it. If you support it in any way, including just clicking those buttons. Hey, what's up, Evan? Evan's here. I see him over there in the chat. Evan, I hope you're doing well, buddy. But at any rate, I thank all of you so much for watching. We really appreciate it. Remember, come back next week for Old World Part 1 of I Don't Know How Many, where we talk about the old world and the game and what it is. So we're going to talk through the rules and stuff like that. It's a big book. I don't know how I'm going to review it, but we're going to do it somehow. So as always, we'll see you next Wednesday. Good luck.


The Pleasant Year Around Climate, major attractions such as Disneyland and Knott's Berry Farm, as well as a long stretch of the stunning Californian coastline mean that Orange County attracts a large number of tourists from home and abroad. Trainings on our TEFL Tezal course can choose from the wide variety of accommodation that caters to these visitors, whether you prefer a budget hostel or a high-end hotel, you will find it here. If you would like accommodation that is located close to the training center and John Wayne Airport, we can recommend one option that has been used by many trainees on previous courses. Our recommended accommodation is a complex offering studio-style apartments that include a private kitchen with a stove top, microwave, refrigerator, and coffee maker. The room comes with a free breakfast while other features include access to Wi-Fi internet and laundry facilities. All the details you need to make a final decision on accommodation will be provided once your place on our course in Orange County has been confirmed.


So it was 5 am, 24th of February, I woke up from the loud noises, bangs, you know, it's special sound, never heard it before and I immediately understood that this is it, the war has started. So I took my phone and I got proof by the official channels that this is our air defense is actually shooting down the rocket. We packed anything that was most valuable. The only crypto bit which I thought of is my cold bullets. That's it. To be honest, I didn't care about the business at that time.  The last thing you are thinking about is crypto, trust me. We took off five cars to the western part of Ukraine, closer to the border. On 25th, 36 hours after we left home and arrived to the first safe location, you know, I was planning for something bad to happen. I spoke to my team who were with me and we decided that it's a good idea to launch the crypto fund. We already had the donation platform integrated into my exchange. So we just started the page and I announced this on my telegram. A couple of hours later, I received a call from the Minister of Digital Transformation. So he said, listen, we want to do the crypto fund for the country. I saw that you did your fund help us, you know, launch it as fast as possible. So we did that. That's how it started. I know the minister, I know the ministry because we spent the last three years now drafting the goal for the virtual asset. So obviously there was a bit of trust and understanding that no one is going to leave anywhere with this money. There is already statistics coming from the Ministry of Digital Transformation. You can Google it. It's on Twitter. So the numbers are the numbers are 303 bitcoins, 7,926 either one and a half million of USDT on Tron Network. So together it's close to 51 million. I'm really grateful for the crypto community that they're doing this. I can say that it's all humanitarian stuff. Like for example, the most important stuff was bulletproof vest, the helmets, first aid kit, blood stopping patches, a lot of food rationing for the soldiers, like the packaged one for the military. So like 400 tons, crazy amount. Mario Paul, we fed people there until we could until there was the internet connection and banking system was working that we were feeding people in Kiev, in Harkiv, in Sumi, in Chernihiv. We see now that centralized systems are dead. I mean, they're losing to decentralized one. Putin is a perfect example of 100% centralized regime managed by one person. And Ukraine at the moment, and the reason why we survived is because we're so decentralized. There is no like one central government authority that decides on everything. That's why it's impossible to destroy us. We are showing the world that it could be different, that we can rebuild Ukraine and we're going to create the first crypto country in the world.


Thank God really praise God. Praise God.  Yeah So your toe is good now. Yeah, do do do now now my god now Now I can play not a man and may your tone never get hurt again in Jesus name Please God, please God heart pain is gone. God be the good


For the first time virtual reality makes the king of biomarkers HRV heart rate variability But what is HRV and why is it attained such importance? The heart does not beat in strict regular intervals There is a variation of time in milliseconds between two heart beats and that is what is called heart rate Variability HRV the heart reacts to what is happening in the mind through the autonomic nervous system ANS as it is called and the timing variations reflect changes in stress while other physiological parameters like blood pressure are still in normal or accepted ranges That's why HRV has become the popular biomarker in the fields of sports and sports science corporate health cardiology ergonomics diabetes care and relaxation training therapy and so on a Healthy state is generally associated with a high and regular or coherent HRV So the IntelliSense coherence kit can also be considered as a friendly wellness coach HRV has many factors involved and it is quite complex to explain here But allow me to give you a simplified basic understanding of how the IntelliSense coherence kit works When our hearts and mind work together we experience a state of harmony a state of calm where stress is almost non-existent For many of us this happens by chance However, we can create this state of synergy which is also known as coherence Between the heart and the mind with proper breathing combined with positive thoughts Breathing affects every single function of our body sleep digestion mood heart Nervous system muscles brain and even the development of teeth and face structure The IntelliSense coherence kit is simple to use once the app has been installed on your smartphone Just follow the instructions Select a VR theme you prefer Put the phone into the headset Clip the provided sensor to your earlobe Put on your headset and sit back You may also use the supplied chest strap if you want instead both working using Bluetooth technology The IntelliSense coherence kit is designed for an immersive experience There are different visual themes to choose from as per your preference and different relaxing audio tracks too Because no external distractions invade your virtual world This technique is highly effective in helping even a beginner concentrate and achieve a coherent state focus on the circle Inhale when it enlarges and exhale when it contracts Additionally the kit has a gamification element built-in which can help team building for corporates They can play against each other to get a higher collective HRV rating the advantage is The scores go up only if the mind heart and brain work in coherence The kits breathing pacer helps train the autonomic nervous system for optimum results It is a win-win situation for all and since all data is stored online. It can be played with teams anywhere in the world HRV monitoring has been in use for some time, but it's been an expensive option But today with new technology and our app It can be made affordable to those wanting to monitor their biometrics and bring about a positive change in their lives And to mass produce this we need your help the IntelliSense coherence kit knowing can make the difference. Thank you


In this video, we're going to conclude lecture 13, and we're going to do that by finally defining what a triangle is. So, a triangle is defined using three non-colinear points in an ordered geometry called those points ABC. Then we define the triangle denoted the triangle ABC as the intersection of three angles, hence the name tri-angle, there's three angles here. So, the triangle ABC is the intersection of the angles ABC, BCA, and CAB. The interior of a triangle is defined similar to the idea of the interior of an angle. So, the interior of the triangle will denote that as triangle with a little circle here for interior, it represents an open set. The interior of the triangle ABC will then be the intersection of the three interiors of the three angles in play here. So, the interior of triangle ABC is the intersection of the interiors of the angle ABC, BCA, and CAB. I've often used this word boundary as we've talked about these things. This is a very topological term, but it's appropriate to define here. We will define the boundary of a triangle. You have this little symbol that represents the boundary of it. So, it's very natural to explain what the boundary of a triangle would be. It's the union of the three line segments, AB, BC, and CAB. We could also talk about the boundary of an angle. We've never defined that officially, but if you're talking about the boundary of the angle ABC, this would then be the union of the two rays, BA and BC. We could talk about the boundary of a half plane. So, we have a half plane determined by the line AB on the side of C. The boundary of this thing is just going to be the line itself, which is why I often refer to as the boundary line. So, this list language is very much consistent with how we've talked about angles and half planes and such. So, a triangle is then the intersection of three angles. We can talk about the interior of the triangle. We can talk about the boundary of the triangle. We can also talk about the exterior of the triangle. This exterior would be all those points which are not on or in the triangle or anything like that. So, we have all that vocabulary here. And so, as we finish our discussion of order geometry, I wanted to provide a proof of a very simple proposition about triangles. There's two parts here. Suppose that triangle ABC is given and P is an interior point to the triangle. Consider the lines determined by the boundary of the triangle. So, line L is AB, line M is AC, and line N is BC. So, if I were to sketch the picture here, we get something like the following. So, we have these three lines here. Let's label this one A, this one B, this one C. And so, therefore, AB is this line L, then line M is AC. So, we have this one and then N is going to be the line BC. So, we get something like this. So, the triangle of course in question is the triangle ABC, which I'm going to highlight this here with a slightly different color. And then suppose that P is some point interior to the triangle. So, that's just the setup, that's what we're talking about right here. So, the first thing I want to say here, part A of this proposition is that we defined a triangle to be an intersection of three angles, but we could also define the triangle to be the intersection of three half planes. The half planes associated to the lines L, M, and N, and we can use the interior point P for each and every one of those. Now, the proof of part A is going to be pretty simple. It basically comes from the observation that a triangle, by definition, is the intersection of three angles and an angle of itself, the intersection of two half planes. So, take for example the angle ABC, which would be illustrated right here in our diagram. By definition, it is the intersection of the half plane bounded by the line L containing the point C. So, we're looking at this half plane right here and then I do apologize the typo there, that the half plane of the line N containing the point A. So, you get this over here. So, when you look at the intersection, you're going to get this portion of the graph. So, that's the angle ABC. But as a half plane is an equivalence relation, you could represent the points with a different one. So, in particular, you could replace the point C with the point P. That's in the same half plane as L. C and P are on the same side as L. But you could also replace the point A with the point P. Again, A and P are on the same half plane associated to the line N right here. And so, you can make that substitution. So, if we do that for all three angles, you could replace each of the angles. So, we did ABC, you could replace BAC and you could replace, what's the other one, BCA with the half planes. You're going to have the half plane bounded by L with P, the half plane bounded by M and P and the half plane bounded by N and P. You'll get both of those half planes two times. But that doesn't make any bit of a difference for intersections. So, you're going to get that the triangle, which is the intersection of three angles that look like this, will look like the intersection of the half planes with L, M, and N using this interior point P. So, it falls very quickly from the definitions of these things. Now, the second proposition, or I should say the second part of the proposition, Part B, I'm going to leave this as an exercise to the viewer. So, what this tells us is that any ray, PQ, is going to intersect the boundary of the triangle at a unique point. So, P is interior to the triangle. If you take any other point, it could be inside, it could be on the triangle, it could be outside the triangle, it doesn't matter. If you take any other point, Q, and you look at the ray that emanates from P and goes off towards Q, then that ray will necessarily intersect the triangle's boundary at a unique point. And so, like I said, I'm going to leave it as an exercise to the viewer to prove exactly that. Now, before in this video, I do want to offer us a little bit of a hint on this one. So, first, construct the ray AP, like so. And so, when you look at the angle CAB, then because P is interior by the crossbar theorem, you're going to have to have a point of intersection where the ray AP intersects the line segment BC, call that point D, like so. And so, what you need to do is sort of consider two cases. It could be the case that actually Q was a point on this ray and which case then the point of intersection you're looking for is D, right? It's going to intersect the boundary there. That's exactly what we wanted, that's great. So then, consider the possibility that these two rays are different. So, the ray AP is different from the ray PQ. Well, in that situation, then this ray AP is going to dissect my triangle into two triangles, okay? In particular, P is going to be on the boundary of this one. So, what you have going on here is that this line, if I extend the line, if you extend the line by posh's axiom, we're going to get that you look at the triangle ADC. This line, since it crosses at P, it's going to have to cross somewhere else. But then when you look at the triangle ABD, again, because the line intersects at P, it's going to have to intersect at some other point. And these two points of intersection between the two sub triangles, they're going to be on opposite rays. And so, in particular, the ray PQ is only going to hit one of those. That's the gist of it. I'll let you provide the rest of the details. But that ends our discussion for here in lecture 13. That also ends our conversation about order geometries in this lecture series. So, thanks for watching. We'll talk about the congruence axioms next time. If you learned anything about order geometry in these videos, please like them. Subscribe to the channel to learn more about geometry and other mathematical things. And then, if ever you have any questions, please post them in the comments below. Thanks, everyone. Bye.


Welcome, Weirdos, I'm Darren Marlar and this is Retro Radio Sunday on Weird Darkness. Each week I bring you a show from the golden age of radio, but still in the genre of Weird Darkness. I'll have stories of the macabre and horror, mysteries and crime, even some dark science fiction. If you're new here, welcome to the show and be sure to subscribe or follow the podcast so you don't miss future episodes. And if you're already a member of this Weirdo family, please take a moment and invite someone else to listen in with you. Spreading the word about the show helps it to grow. And if you're here because you're already a fan of nostalgic audio and print, you'll want to email WeirdDarkness at RadioArchives.com. When you do that, you'll get an instant reply with links to download full-length pulp audiobooks, pulp e-books and old-time radio shows for free. That email address again is WeirdDarkness at RadioArchives.com. Coming up, it's an episode from Mollay Mystery Theater. From the day it debuted on NBC in 1943, Mollay Mystery Theater intended to bring listeners the best produced mystery programs possible. Until the show moved to CBS in 1948, it succeeded in doing just that, combining quality adaptations of mysteries by both classic and modern authors with the top radio talent at the time and high-end production values. Mollay Mystery Theater produced suspenseful thrillers that today still put listeners on the edge of their seats. Mollay Mystery Theater was sponsored by Sterling Drugs, the makers of Mollay Shaving Cream. Although the name would change in later incarnations of the show, the best-remembered episodes were aired under that title from 1943 to 1948. Tapping some of the best talent available, Mollay Mystery Theater featured Richard Widmark, Frank Lovejoy, Anna Seymour and others. Whether it was a classic mystery tale or one penned by an author of the time, each episode was a tangle of twists and turns, usually wrapping up suddenly with a shocking ending. Every indication is that the creators of this program intended to not only make the best possible mystery anthology on the air, but also to make it unique. And to this end, Mollay Mystery Theater didn't simply have a host or narrator like most shows of its kind. Jeffrey Barnes, played to low-key perfection by Bernard Lenro, was the program's annotator. While narrators simply helped move the story along, Barnes' purpose as an annotator was to assist the listener in working through the mystery of each episode in understanding the finer points of whatever foul deed and investigation took place. Tonight we present Mollay Mystery Theater's broadcast, entitled Last Night, originally aired February 22, 1946.  And now the Mollay Mystery Theater, presented by M-O-L-L-E. Mollay, the heavier brushless shaving cream for heavy beards. Good evening. This is Jeffrey Barnes, welcoming you to the program that presents the best in mystery and detective fiction. Tonight's story is entitled Last Night and was written by the very popular William Irish. I particularly liked this story because of the people in it. They are very ordinary, real-life people, not gangsters or tough detectives nor mad homicidal scientists, but average people like you or me or your next-door neighbor. In short, they are the kind of people you never expect to find involved in a murder. Before you begin your story, Mr. Barnes, here's another true-to-life story for men. If you have wiry, hard-to-cut whiskers or a tender skin and you find that shaving is really tough, then shave with Mollay, the heavier brushless shaving cream. Yes, sir, man, it's smooth. So smooth. It's slick. So slick. It's a smooth, smooth, slick, slick shave you get with M-O-L-L-E. Mollay, the heavier brushless cream for tender skins. That's right, Mollay is a heavier cream, the kind of cream you need for wiry, hard-to-cut whiskers or a tender skin. Because Mollay is heavier, it softens your whiskers, stands them up straighter and makes them easy to cut. So you shave faster, closer, easier, and you shave painlessly with Mollay, the heavier brushless cream for tender skins. Mollay. An alpha-the-mollay mystery theater presentation of Last Night. It's funny. The way I used to think things just couldn't get any worse. I'd wake up and say to myself, it's morning again, and I'm awake again, and Gil and I are still broke. We owe $2,500 and we'll probably lose the summer resort if something doesn't happen soon. Then one morning it did. All the worries I took to bed with me the night before dissolved into nothing. And that bigger thought began beating against my brain. Gil's a murderer. My husband's killed a man. When I woke up I could tell the sun was somewhere overhead. The weekend was over and Gil hadn't wangled the money out of Mr. Burroughs. I remember yawning, a long, comfortable cat yawn, and thinking, there must be something better we can do besides operating a health resort at a loss, buttering up rich old crabs to borrow money to keep it going. Good morning, Dike. You're up early. Not very. I didn't get to bed at all. Oh. And that means never mind, honey. Never mind what? So Burroughs wouldn't lend us the $2,500. We'll get it somehow. Maybe there's another way besides borrowing from Peter to pay Paul. What are you talking about? I got it out of him. $2,500? Well, you certainly don't act very happy about it. I could have sworn you didn't get it. Let's get down to breakfast. I'm hungry. But Gil, not the whole $2,500. That's what I said. In cash? In cash. You mean that he carries that much rock? He was going to deposit it Monday morning. Now look, why the questions? We've got the dough now. Forget it. Is he still here? No, he left. On the eight o'clock train, had you driving down? Jackie, for Pete's sake, no. Not the eight. He took the milk train. What? How do you know? I left him at the station. Oh, with the secretary? With Mars? No, no, by himself. Gil. Gil, what aren't you telling me? Did you have words over that loan? What put that on your head? Well, if there wasn't any friction, why did he pick up and leave at that ungodly hour alone? Oh, who knows? Anyway, it's over. Forget it. I'm going downstairs. I got dressed quickly, but I had trouble because my hands seemed to be all thundering. They were shaking. I was afraid, and I didn't know why. I had a vague, uneasy feeling that something was wrong. Maybe it was the looking at Gil's eyes. I finished and hurried downstairs. What do you mean, do I want the money? Do you think I got nothing else to do but drive out here? He was here again. The man we owed the 2,500 to. Earlier that morning, I'd have felt a little sick hearing his voice, but now I was glad. Gil could give him the money and we'd be rid of him. How long does this keep up? You've given me the run around. I don't like it. I don't like it either, but I tell you, I haven't got it this minute. What do you want me to do?  You're going to get it. I've been mighty patient with you, and this is the last time I'm coming out here like this on a fool's errand. I'm not kidding either. Next time you'll see, I mean business. Gil, Gil, why don't you... What are you doing there, spying on me? Gil, look at me. Why didn't you give him the money? You have it. I need a drink. You afraid to let anyone know you have? All right, I'm afraid. Gil, you've got to tell me. Look, I've got to know. Did you do anything to Mr. Burrow's last night? Did you do anything to... Jackie, Jackie, now put yourself together. You're the only thing they've given me. You're the one thing that I want to keep. Did you do anything to him last night? Yes, I did do something. Gil! Not what you think. It's bad enough, though I'm worried. Now stick with me, Jackie. What was it? I'll get it. Hello? Yes. Oh, Mrs. Burrow. Yes, your husband did leave this morning. His train should have arrived at Grand Central about 8.30. Well, maybe he went directly to his office. Oh. Oh, I see. Well, I'm sure you'll hear from him. Let us know, will you? Thank you. Yes. Goodbye, Gil. Burrow's never got home. Gil, do you hear me? Yes, yes, I hear you. How do you know, as old ladies tell him the truth? Now, come on, let's go on into breakfast. Gil! My neck and shoulders seem bound as if in a plastic cast. I felt rigid and my head was splitting. But I followed him into the dining room. I had one other paying guest, our regular, as Leona made called her. Irene Robles was a tall and swaying red-headed horsey. She and old Burrows have been distinctly former with each other, but there was an undercurrent of fright, even in her flippancy every time they were together. I had the feeling that they'd known each other before. Good morning, good morning, good morning.  Where is everybody? Your mummy today, out getting new bandages? He's gone. Oh, well, can't say I'll miss him. Somebody ought to murder that guy. Too bad he didn't leave that divine-looking secretary of his, though. I've always made it a point to dislike male secretaries, but Mr. Marsh's case, I'd make an exception. Thanks, Mrs. Robles. Good morning, everybody. Good morning. Good morning.  Just the same, I'm so glad you didn't leave, too. What's this about leaving? Hasn't... didn't he tell you he was going? Who? Burroughs. Mr. Burroughs didn't tell you that he was leaving. You're joking. No, I'm not. Yeah? Why, he couldn't have left, he didn't say anything to me. He took the milk train, about five. Well, did he leave any word for me? I suppose you're to follow. My, how mysterious. He stopped in his room on the way down, thinking he was already up. Mrs. Blaine, doesn't it seem odd to you that he didn't take his clothes? Not take his... And I still have both his tickets. I can't imagine...  Maybe he received bad news of some sort. Maybe his wife is ill. If you'll excuse me, I'll put in a call there. Don't do that. I beg your pardon, Mr. Blaine. I said, don't call his home. No, why not? He's been around here a little while ago. He hasn't arrived home yet. Hasn't arrived home yet? Who drove him to the station? I did, why? No, then he did get the train. Or did he? What do you mean, or did he? What are you insinuating if you've got something to say, say it? Gil, Gil, please. My goodness. Take it easy, Blaine. All I meant was that you see him get on the train. Nothing to get hot under the collar or something. Get on the... Sure, sure I did. I saw him get on myself. I saw him leave. Something's wrong with the room. It started to spin around and around. All because I remembered Gil telling me that he had left boroughs at the station. Left him. Gil was lying. Why? The sick fear in my heart told me that something had happened to the old man. And my husband knew what that something was. As the curtain falls on Act 1 of tonight's story, Gil's strange behavior has convinced his wife that he's in more trouble than he'll admit. Of course, Gil may have good reason for his silence. There are times when a man would rather do anything than face his wife's questions. Yes, Mr. Barnes, that's true. There are some things even the bravest men hate to face. Many a man would rather twist a tiger's tail than face the torture of a morning shave. Well, almost. That's because they have wiry, hard-to-cut whiskers or a tender skin, and shaving is really painful. And yet it needn't be. Not if they shave with Mole. The heavier brushless shaving cream for tender skins. That's right, man. Mole is a heavier cream. The cream that softens your whiskers holds them up better and lets your razor breeze right through them. With Mole, you shave faster, closer, easier, and you shave painlessly. Try it and see if you don't say, It's smooth. So smooth. It's slick. So slick. It's a smooth, smooth, slick, slick shave you get with M-O-L-L-E. Mole. The heavier brushless cream for tender skins. Mole. And now back to act two of the last night. From the minute he drove up to the house, I knew he was a detective. He had that sharp-eyed look about him. Then Leona mistook him for just another bill collector. The novelty of those had worn off a long time ago. Uh, sit down, Mr. Ward. My husband's gone to the village. Yes, I know that. Now, let's not waste precious time, Mrs. Blaine. Mr. Homer Burroughs was a guest here from Friday until sometime late Sunday night or early this morning. That's right. When did you see him last? My husband drove him to the station. That isn't what I asked you, Mrs. Blaine. About one o'clock this morning, and then later my husband... And 1 a.m. was the last time you saw him alive. Mr. Ward, I don't like the way you say that. Now, you've got no grounds in coming here and... Surely you'll admit to the strangeness of the situation. Isn't it unusual for a man of 64 to leave alone in the dead of night like that and never to have arrived? Well, we're not accountable for his eccentricities. Now, he left here, I assure you. Well, look under the carpet if you're not sure. Well, I don't doubt he left the house. Well, then what more have we got to do with it? Instead of snooping around up here, why don't you just check at the other end? He never reached the city. How do you know? Just because nobody's seen him? He could have been run over by a taxi or overcome by a leisure. But to get to the city, he would have had to take the train. Well, he did take the train. My husband... Mr. Blaine, no one at all boarded the 420 train last night at your particular station. The rest of the day was a nightmare. He questioned everyone in the house, all five of us, time and again. When I dragged myself to bed early that evening, about 8, I put the covers up over my head. And I wondered how it would feel to go to sleep and not wake up. My eyes flew open. I was suddenly awake in the dark. I had no idea how late it was when I had fallen asleep. And the sound, no emotion awoke me. Just a gathering tension in the air. As that boat upright fumbled with the light. Don't touch that light. Leave it alone. Kill. Kill what is it? Kill. Get back. Get away from this window. I don't want to be seen here. Kill who is it? Who's tried to open those garage doors? Why are they... It's that smart cop ward, I think. If he gets them open and he goes... Kill. Thank God. Don't kill.  If he works those doors open, I'm going to shoot to kill. What does he want with our car? I don't understand. I think he's worked the lock. If he opens those doors, I'll kill him. Kill him? Why? No. No, I'm not going to let you kill. I won't let you murder him. I don't care what it is.  Leave me alone. I know what I'm doing. I know what you're trying to do and I'm going to stop you. I'm warning you, Gil. I'm going to put him alive. Shh. Shh. Just another few seconds. I'm warning you, Gil.  You're frightening him away. Who was... Was it war? I don't know. I'm not sure. Did he come now? I guess so. He disappeared around back. Kill what's the matter with you? You're the color of gray paste and I don't understand it. I don't understand it at all. What did he want in the garage and why do you want to keep him? He'll make another stab at it tomorrow night and the night after. I can't stand it anymore. I'm getting out of here now. Why, Gil?  I've got to run. I have no choice. Haven't you?  I... Don't deny it. You know, I had a row with him about the money. You know, I drove him alone to the station in the dead of night. I let him out there. He's never been seen alive since. You told Marsh that you saw him get on the train. All right, all right. So I was lying. It's not a circumstantial case without a chink in it. It's hanging by a thread over me. But you're snapping even that thread by running away? Yes, yes. Here's another piece of circumstantial evidence. You know, that $25 check borrows asked me to cash. Yes? Well, I added two zeros and then the word hundred of the face of the check. It was easy. The bank was open this morning. And we were in $2,500. Oh, that's why you couldn't pay the collector the money. Yes, yes. It was hot. It was plenty hot because borrows was missing and I was scared. All right. All right, darling. One more thing and don't lie to me this time. Gil, I want the truth. I'm your wife and I've got to know. Is that all you've done? That's all. I didn't kill him. I swear I didn't, but I can't prove it. Gil! Gil, if you weren't guilty, I'd go away with you. I'd run away with you. But you've done nothing.  I didn't ask you to come with me, did I? Gil, if you leave here, you leave me too. For good. I love you, Jackie. But I like my neck too. Gil, don't go. It's been a long time together, baby.  Gil! All right. No, huh? Okay then. I'll have to do without it. Thanks for the memory. I don't know what I put on. All I know is the tears in my eyes make the colors swim in front of me. I had to catch Gil and make him come back. Gil! Good evening, Mrs. Blaine. What? I thought you went to bed. No, no, no, Mr. Ward, I couldn't sleep. Did I frighten you? It's all right. I thought it was... It was... You thought it was who? Nothing. Never mind. It's all right, Mrs. Blaine. I know your husband went out. He left a few minutes ago. Gil? It looked like he was heading for the tavern. I think maybe I'll join him. Good night, Mrs. Blaine. My heart was beating wildly. If I hadn't turned out that bedroom life a little while ago, that detective might have been dead now. Why? What was it about the garage or about the car that was so important to all this? The car. Gil drove boroughs to the station in it. I wrecked my brain to think of something unusual about the car. It was freshly painted two weeks ago. The brakes had been relined. The key to the rumble seat had been lost. The rumble seat! Oh, seat! Now I knew where the body of Mr. Boroughs must be. No wonder he had disappeared so completely. Someone had found the key. Someone had murdered Mr. Boroughs at the station and put his body in the key. Perhaps the murderer still had the key. Find the key and find the murderer. The house was empty now. Even Leone had left to do her weekend shopping. I must go back and search every room. Find that key. Prayed I wouldn't find it in Gil's room. I was no detective and I had to work fast. No telling when someone might return. There's time more on and still no key. I became one more feverish. This was the last room. Only one more. Oh, what if Gil hadn't lost the key? What if he was lying again? I had to find it here in this last room. Only a few minutes opening doors, empty vases. From the bathroom I heard the cascading of water. Someone was there taking a shower. I had to work even more quickly now. In mere seconds, the torrent of water muffled any sound I could make. There were pocket articles on the bureau. A wallet, cigarettes, matches, handkerchief. And then a key lay there in full view. A deep hiding place, there out in the open. The key ran out of the room and down the hall and into my own... I leaned against the door instead at the shining silver in my hand. This little key met Gil's illness. A murderer was in the next room. And I knew that if I used it to open the rumble, I'd find there the body of Mr. Burroughs. Oh, I pray to... I pray to get... If you'd have lucked with our Mrs. Blaine, you all weren't you expecting me. Mr. Marsha, I... Put the phone down, Mrs. Blaine. I said put the phone down, Mrs. Blaine. This is a gun. This is Jeffrey Barnes again. In just a moment, we'll return you to the final act of last night.  Now, plain water does that. So if you want to fight a common type of dandruff effectively, the thing to do is use double dandereen. Double dandereen is a scientific product that goes to work on your scalp and actually combats this dandruff by killing the germs that many outstanding authorities contend are a cause, and it kills them on contact. Now, the reason why double dandereen is so amazingly effective is that it contains an active antiseptic called alzam. This is a special ingredient used by many hospitals because of its remarkable efficiency. And no other hair preparation contains alzam. You get it only in double dandereen. So try double dandereen and see why most ordinary hair preparations can't compare with its dandruff combating effectiveness. If you're not completely satisfied, return the empty bottle and get your money back by double dandereen at your drugists. Mr. Marsh, what are you going to do? First, we'll lock the door.  It doesn't belong to you. It does now. It has since last night when I murdered Burroughs. I didn't know what to do with the body. Then your husband made it very convenient. Gil? Yes, Gil. I left the car across the street from the station when he went to the tavern for a drink. But he was nice enough to leave the key for me. It was easy. I shoved the old guy in the rumble and locked it and left with the key. Now, hand it over. But how did Gil... I said, hand it over! Thanks. How did he know where Burroughs was? The same way you did. The key was missing and the body was missing. He added them up like numbers. Got the same answer you did. No! Please, Miss Blaine, I don't like hysterical women. What are you going to do? Don't raise your voice, someone might hear you. This is going to look like an accident. Why did you do it? Now that Burroughs is dead, his widow will inherit everything. And I can wrap her around my little finger. There's a second marriage in the cards for her. I played a long shot and it can still come through. You're not going to spoil it now. What are you going to do? You wouldn't know too much, Miss Blaine. You hadn't been so curious in the first place that you had no need for all this. What are you going to do? I'll show you. Get in there. Get into the bathroom. Just make things harder. Please, I won't do anything you can take. Please, I won't tell anyone. I'll just be in your love. Darling, are you there? Listen to me, you. I've got a gun sticking into your ribs. Don't make me nervous. Be careful what you say. Jackie, you don't like me. I've got to talk to you. Come on, I'm slaying about before. I'll go ahead and watch you down or you'll never talk. Oh, please, baby, I'm sorry about what happened. I didn't mean to choke at you like I did. Go away. I said go away. Talk about. Come on, come on. Get rid of him. Oh, car, I'm somebody else's shoulder from now on. Who's being sensible? Now, into the bathroom. Don't touch me. You keep away from me. Now, closing us away from the rest of the house. No, no. I'll just turn on the shower. If you scream, I'll think maybe you're singing. That's it. Sing pretty. It's your swan song. Please, I promise I won't tell anybody.  But unfortunately, the water was still on and it got higher. Keep away from me. And higher. And you drowned, just like that. It happens to people every day. You don't run away, Mrs. Blaine. It'll find you in your own bath. Dead. You'll take care of that blow in the head. Now, you're through for good. Jackie, darling, you all right? I'll kill him. I'll kill him. That's it. Hold your hands up high. Take his gun, Gil. He was going to drown. He was. Well, drop your hands, Marsh. Let's see what else you can do with him. You think you're pretty smart, Blaine. Not as smart as you thought you were. You got two strikes against you, Mr. Marsh. First, you tried to pin a murder rep on me. We found Burrow's body in the rumble. I'm sensitive about that. She's the only one I've got. Nice job. Thank you. By the way, Gil, if you hand over that 2,500, I'll take care of it. No one will be the wiser. Thanks. You're pretty regular. There's one more thing. How did you know Jackie was in trouble? Oh, that was easy. She told me to go back to my blonde and Hartford. There never was a blonde. She knew that. That's right. It was a brunette. Brunette. But it can't be. This is Dan Seymour saying good night until next week when the Mystery Theater presents Code Number 2. The National Broadcasting. Thanks for listening to this week's Retro Radio Sunday episode of Weird Darkness. If you've not done so yet, be sure to subscribe or follow the podcast so you don't miss future episodes. And if you like the show, please share it you know who also loves old-time radio and pulp audio. 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