The exploration of space will go ahead and it is one of the great adventures of all time. What's up guys, this is the Dwarf II, it's a brand new release of a smart telescope. When I say telescope, it's not a telescope in the traditional sense where you have to look down an optic to see things further distance. This is an AI powered smart telescope that is connected to your phone via an app so you can actually see all of the images and videos that you are taking using this. This was released on Indiegogo not too long ago and they have started shipping. Take a look at the description for all the latest pricing information, any discounts that they have running at this time and let's go ahead and unbox this but I'm gonna go ahead and showcase to you guys in this video with all of the chapters down below, taking some photos of just like nature, wildlife, landscapes and also the main thing that most people will use this for, astrophotography. So when it is a clear night I'm gonna be pointing this up to the stars, seeing how some of the photos will come out, not just of the stars and maybe of a galaxy but also of the moon just to see how great this actually works. So pretty excited, let's go ahead jump straight in, see what comes in the box first. So there's two editions that you can buy with the smart two telescope. I have the deluxe edition which comes with this carry case, very nice carry case for the smart telescope as well, plenty of pocket space, you also have a strap inside and you have a little outside pocket just there. Also comes with this very nice high quality tripod that you can also put on to your desk. I'm gonna be mounting this on my bigger tripod when I do take it outdoors and in my back garden to shoot night sky pictures but this is a very great option if you do want to just use it from an indoor setting. The deluxe edition also comes with these filters and a filter adapter that you connect to the smart telescope. So you also have an ND filter, a UHC filter. The UHC filter reduces the negative impact of artificial lights and air glow when you are shooting at nighttime for those deep sky objects like stars. So use this when you are shooting the night skies and then the ND filter is used to reduce the exposure light to improve photo quality when you're shooting in broad daylight when it is very sunny outside and there is a lot of overly bright objects and here they are. This is the magnetic adapter that you will fit on top of the telescope lenses. I'll show that in a second but it's a very nice design, you've got a little star constellation at the back of that. Then you also have these filters, it will mention ND on the side of that as well and these filters will simply just screw into place on the adapter like so and this is the smart telescope. So it's a very nice design, there's no specifically any optic that you need to look through. Let's go through some of the design features of this so this is where you'll see there's the telephoto lens and the wide angle lens. This actually rotates linear up and down. You can rotate them manually but there's also an option to rotate it via the app which is probably going to be the most recommended. You have your power button there on the left hand side. You've got a LED ring that will also light up to show you that it's on and it's being connected and it also lights up red when you are turning this off. You've got four LED indicators there to showcase the battery life. In terms of the battery there is a compartment that allows you to have backup batteries so you can remove this like so and the battery will just pop out that. Then you also have this little mounting plate that's attached to the bottom of it. You can see it's lined up with the little lines there. This will actually rotate on the mounting plate itself so you have a horizontal linear motion controlled via the app as well. So not only can you move the lens up and down the actual telescope itself can move left and right. If you rotate the lens back down you'll see there's another slot here. This is where your SD card can go to store all your content that you've taken with this and one thing I like with devices like this sometimes you don't get a micro SD card in the box. This one is supplied with one so it comes with a Samsung Evo 64 gigabyte micro SD card. It also has the SD card adapter with it. So now I will just face the lens towards the back of my room and I will just turn this on. Just press the button once you'll see it will start lighting up green. I've charged it up fully 100%. It doesn't come with a USB-C cable in the box but because most people have tons of USB-C cables at home anyway I think that's just absolutely fine. You've got yourself the USB-C charging port just on the mounting plate there. At the bottom of the mounting plate you have yourself a quarter inch thread to mount this universally on pretty much any tripod. So now that this is on let's go ahead and connect it with the app. Okay so now just let's take a brief look at the key specifications. Starting off with the lens parameters. The focal length of the main telephoto lens is 100 millimeters so that's something to be aware of. You also have an aperture of f 4.2 for the telephoto and 2.4 for the wide and the best working distance is at minimum 4 meters and maximum distance is pretty much unlimited because you are going to be shooting into space. The resolution of the lenses as well are 8 megapixels for the telephoto and 2 megapixels for the wide. Looking at the hardware specifications you can see that this is an Sony IMX415 sensor inside the lens and you do have the replaceable 56,000 milliamp hour battery which I showed you earlier in the video which allows you to carry backups as well and it will give you many many days of long shooting sessions. And finally some of the interactive parameters with the connectivity this can connect via Wi-Fi and Bluetooth available for both iOS and Android. Like I mentioned it does have 64 gigabytes included but you can expand this up to 512 gigabytes max. This is also IP54 waterproof so if you do take this out and it is raining a little bit it should still work absolutely fine and it actually now supports two formats fits and TIFF for both JPEG and RAW images which allows you to then transfer all of the photos you've taken into your own astrophotography processing software. One example is one called Cyril which I think is quite a nice app available for both Windows and Mac so do check that out if you want to take your photography editing software to that next level. So you open up the Dwarf Lab app available both on iOS and Android hit this photo button it will start searching for it comes up with the device so you select that. Hit join so it connects to the Wi-Fi of the device. If you do get an option to upgrade to the latest firmware always recommend to do that because they always have really useful software updates. So now that is connected very quickly and easily you'll see this has a picture-in-picture you've got the wide lens there you'll also be able to see the battery percentage on the top right there and the capacity of your SD card you can also tap on the wide angle just to get that to use the larger part of the screen. Now you can use this joystick here on the bottom left and you'll see the smart telescope will start moving I'm gonna try and aim for my YouTube logo sign just here you can also control the speed of the rotation so you have a little slider here if you press that bring it down because you are going to be generally aiming this at very far away objects you might want to just reduce the speed so it captures everything perfectly in frame and you can see a little preview how it may look now I'm gonna stick to that see if I can get a bit of the text now you can see this is what it looks like at the moment you have the option to hit the focus button here this will automatically do auto focus you can also switch it to the manual focus if you like so you have the plus and minus focus buttons there going to hit auto there you go you can see it's captured it very well and I can actually read that text very clearly if you go back and look how far away that is it's done a very good job to capture that and when I'm ready just hit the shutter button and this will save it to your gallery if you want to take a look at all of the photos and videos you've taken in the gallery just hit the gallery option there and it will show up here and then you can also download this straight to your phones gallery app you also have the option to hit the settings just on the left here you can also remove the picture-in-picture just to see the settings a little bit more clearly so you can change for example the exposure time you can change the gain the white balance the infrared light then you also have the options for brightness contrast saturation and hue so when you do take photos of far away objects the coloring it might be slightly skewed from what it is in reality so you can make all of those adjustments in real time before you actually take the picture which is quite nice if you switch over you can also select from various different modes so I have it set to photo mode but you can also do a burst mode time lapse you can record a video panorama and then one of the most popular options which is astro and astro dark of course dark is as it says in the name you will take lots of dark frames of a very deep night sky just to make sure it does the layering properly to give you the best picture of your constellation or of different maybe moons and planets in the night sky if you do go into astro you have the option to select feature this is where you will see the option to do a automatic go-to which I think it is a very nice thing because it has a catalog of here where it will automatically aim at different parts of the night sky depending on what you would like it to aim at so if for example you want to aim at the moon you select this and then you can start an automatic go-to plating which basically will rotate the actual smart telescope itself to the exact direction using coordinates to the specific item in the sky that you like it to go to all you have to do is hit confirm and it will start doing that calibration make sure when you do the calibration that you don't have the magnetic filter or connected to the lens part just to put that on afterwards when you're ready to take the photos but you can see there's plenty of different constellations and galaxies that you can also aim at if you are in a location where there's not a lot of unnatural light coming from your town or your city then you know this is something where you will actually capture very good photography especially like if you go remote into like the mountainous areas for example but I'm going to be taking it from my back garden in you know quite a busy city so let's see how this will come up and I will try to aim at maybe some of the stars the constellations the moon and see what we can grab so that's a basic overview of the app very simple make sure you do read the information on their website about more detailed guides on how to get more advanced settings for astrophotography but other than that let's go ahead go outside and start seeing what this can do all right guys so now I'm outdoors I've got the telescope connected to my app and I'm going to be shooting some of these ducks here in this pond so as you guys can see from my screen recording I'm going to be zooming in one of these taking a photo so now I'm getting a three by three panorama picture you can see the telescope moving in different directions to capture that and it will automatically save it to the gallery it's getting it off the landscape in the distance with a bit of the pond so let's see how the final result comes out so even though the Sun is out the moon is still visible in the sky you can see all the up there in the distance but you can see on my screen recording I've just managed to place it I've changed the settings a little bit so I've got the exposure time it's set to its max here I've got the gain set to auto but it's currently on 50 and I've got the white balance and the infrared light past there so you can just about see it and although it is a little bit grainy because it is daytime I'm going to take a picture and then I can edit this using my Mac software to make it a little bit clearer so hopefully that gives you an idea of how close you can get to getting a shot of the moon so now I've got the ND filter on and I've pointed this directly into the Sun and as you can see from the screen recording it's coming out quite bright is quite clear I'm gonna just adjust the settings a little bit and then take a photo so that's quite a few examples that I've just shown you of shooting outdoors in daylight and now I want to switch over to doing a bit of astrophotography and then start shooting a little bit at nighttime so let's go ahead and see how that comes out okay guys so now I'm outdoors at nighttime and it is very dark here I've got my LED light on my camera just so you guys can see me I've got the telescope set up now if you are a beginner to setting up something like this for astrophotography the first step you have to do before you start shooting anything in the sky is to calibrate it if you go on to the astro section of the app you have the option to hit feature and then there's a calibration option just there now before you start calibrating it just make sure you manually point this into the sky make sure there's no obstructions around it so that it can clearly see the night sky try to aim it at a particular star something that's quite bright in the sky as well so it can lock focus onto it once it does have focus on to it then you can start the calibration that will go into something called plate solving it will go through various different steps usually will require around three or four calibrations to complete successfully and if it does you'll get a message to say it's done then you'll be able to use the go-to feature where you'll be able to point this to a particular part of the night sky whether that's a planet a moon a nebula or a galaxy so let's go ahead hit calibrate but before I do that I'm just gonna make sure I can lock focus on to something in the sky manually without using my phone now I'm just going to turn off the LED light so that it doesn't get a lot of light pollution interrupting it with the lens on the telescope okay guys as you seen the calibration was a success if you do run and if you do run into any problems with the calibration then always check to see you have the latest firmware if you don't then just make sure you upgrade and then I'll also put a link in the description below if you want to check out some of the beginner tutorials which will go into more depth documentation about how you can get this up and running if you do run into problems now that's calibrated you can see in the background here on my screen recording there is a lot of stars being shown that I can't see visibly with the naked eye I'm going to now use the auto go-to feature and with the catalogue I'm now scrolling down and I am going to shoot let's go for the m42 great Orion nebula I can see the Orion belt in the sky I'm going to hit confirm and the telescope will automatically reposition to this nebula itself so it's doing a plate solving it's now tracked its exact position and you can see there in the background it's slightly visible there if we just open up some of the settings I'm going to set the exposure time to let's say 8 rather than 1 and then I will leave the gain to 80 white balance I will leave it as automatic and infrared I will leave it as pass and what I'll do is I'll also put the UHC filter onto the lens at this point make sure you don't have the lens on when you are doing the calibration in fact let's put the exposure time down a little bit let's set it to five and then gain 80 now if you hit feature and go into the more tab you can change the format from tiff to fits and fits is a very popular astrophotography format which is going to be required when you do import it into a software like zero the count I'm going to take let's say 150 images of this layered and stacked together so I will select 150 on that I'll leave spinning two by two and I think that should be pretty much it so all I now have to do is hit the shutter button and it will start taking those 150 images so now it's starting and then there you see at the top you have the total amount 150 and this will automatically show you the current amount of the pictures taken once everything is completed you can then transfer it off from the micro SD card and place it directly into your laptop but this is only the first step of taking this type of picture what you need to do as a second step is take dark frames so that you also import that into your astrophotography software or application you don't need to take 150 of those I'm only going to take 20 to do that is very simple you point the lens manually back down into the telescope itself so it's completely hidden and then leave it on and then you also put the telescope into the carry case that came in the box just so that it's absolutely dark but you maintain the exact same settings so 5 for the exposure and 80 for the gain once you do that then when you do the layering everything will come out really clearly and it will remove all of the RGB color lines of movement as you would expect with the Earth's rotation but you can see in real time which is really good in this app the preview of how it looks whilst it's taking all of those pictures and stacking them so we'll go ahead and let this finish okay so this is almost finished you can see us at 149 one more image left and it will stop and there you have it now this is the preview in the app and as you can see there's a lot of red blue green blurs that have come out in the stacks photos don't worry about that I'm going to be transferring this over after I've taken the dark frames into my serial app which will eliminate a lot of that eliminate a lot of the blurriness and then I'm also going to be exporting it out from serial and into Photoshop just to get the curves and levels of the deep black of the space a little bit more prominent so let's fast forward and take a look at the final result and here you have it as you can see this looks absolutely great seeing a nebula like this taken just from my back garden even though there is some lights around in the garden as well on the fences and coming from the inside of my house having an image like this of a deep part of space is just phenomenal and a telescope of this size which is almost pocket size to be honest I think it's pretty amazing at what this thing can do now obviously this took some time and you know whilst I still have some battery left in the telescope I'm going to take a couple of more astrophotos in my garden whilst I'm here so let's go back into the app okay let's hit feature we'll go to see what else we have let's go ahead and take one of the moon and I will follow the same process and the same steps this is placing the moon exactly into the center frame which shows how accurate the plate solving is for the coordinates of each of these categories now of course there's some adjustments that you should make so that it's not a very bright white light so I'm going to change the settings on this okay there we go let's drop it down to 50 this time and it get a stacked image from here and here's the final result of course I've could have taken a lot more stacked images and I've could have done a lot more post-processing for this to be a little bit more clearer but as you can see for something that took just two minutes to take on the app and then relatively quickly to run the scripts in zero this actually is a very decent zoom of the moon and finally here's one more picture that I've taken this is of the Perseus cluster again following the same steps that I've used to get the picture for the Great Orion Nebula and this again comes out very well with a lot of stars in this one and you can very much see all the details that is part of this cluster which amazes me at the quality of astrophotography that you can actually produce with something just as simple to use as the dwarf 2 so I'm super impressed with the pictures like this I'm going to keep exploring all of the different categories the different clusters the different galaxies that I can and start producing more pictures because I'm a huge fan of astronomy and getting pictures like this I think it's just amazing okay so that's it guys hopefully you found this review useful of the brand new dwarf 2 smart telescope hopefully you enjoyed all of the videos and photos that I've taken and how they've come out if you did make sure to like this video if you guys have any questions of the capabilities of this smart telescope and what other use cases you may be able to use this for as always drop a comment down below make sure to check out the links in the description to see how you can purchase this get the latest pricing information and run through all of the different specs and make sure to subscribe so you don't miss any new tech reviews of gadgets much like this and I will catch you guys at the next one take care


I'm like, I know you're humble. Yes, you is humble.  What nigga? You gotta vote at this sexiest nigga on the planet How do you do that? It's hard to be humble. When you like mama, I'm the baddest nigga That's hard. That's hard. They all love me mama.  You got to take the photos you got going to cover Just just so you know before you got here, right?  Because it's women lined up right here. It's women all out I said do the whole barstool know that that Mike's coming in today. They said, yes Okay, it explains why it's all these got their women just walking but we done interviewed everybody right here They never came in check to see if it was snacks Oh the sexiest man That's crazy man That's crazy man. The sexiest. Let me ask you a question.   What I just drink tea What you been doing but now all of a sudden you got voted the sexiest man You But that's that's the fun part about it man And it's cool to get it is cool to get the accolades and all and all that good stuff man, but it's it's Then right after that, you know Jada, but no Parra parra is the next cat right after that So, you know, not taking nothing away from Paul Rudd, but you know I'm saying Paul ain't You know, what's so great is even stuff like that. It's like In order to keep your cool and to stay focused and to keep your gram a lot of people don't understand What got you there is what you got to keep doing to keep going to the top. Yep


Alrighty. Alrighty. The chickens came down this morning. Here's a tree full of chickens. Look. Have a little rummage around. I just realized that of course, when chickens don't have a chicken house to go to, like naturally, I think they just roost in trees. So that makes total sense why they were in those trees last night. When people make chicken houses, they make little branches for them to stand on. We've been tricking them the whole time. There we go, leaving the cabin. The cabin of dreams. I had an absolutely terrible night in the cabin. Seriously, it was pretty hot. I had the fan blowing in my face. I woke up like a million times. I think as well, we had some bad bugs or something. My whole leg was itching. My back was itching. We had to put actually all of our clothes on. It wasn't a very nice night. No, I guess you win some and you lose some. Hopefully, tonight will be better. Good morning world. Welcome back to the channel. It's day number 358 on our circumnavigation around the globe. I'm motorcycle. We are here in the town of Oratina in Costa Rica. And today we have a couple of important missions. The first is to replace our broken GoPro, which was on the rear pole, which decided to go for a walk whilst we were riding down the highway. Oh, no. And then proceeded to get run over by a truck. So we found on Facebook Marketplace another one, which is actually in the capital, San Jose. It's a GoPro Hero 8, which was manufactured at the same time as the Max that we used to have. So other than the fact that it can't do 360 video, it should be pretty much the same for everything we need. And that's only going to cost us about 135 pounds. So it's not too bad, but it's still a shame that we lost our beloved GoPro Max, which has been with us since the start of our journey. Yeah, totally. So yes, we're heading into Costa Rica's capital, San Jose. It wasn't part of our original plan, but of course this is the only place where we could find a GoPro. Yes, and I pray that the GoPro will still be for sale when we arrive there, because the lady was like, yeah, if I can sell it before you guys arrive here, then I will sell it, which is like fair enough. After our brief visit to San Jose, we have another important mission, and that is to see an awesome volcano. I love volcanoes. And there are a lot of them to see here in Central America. This one is called Arinal, and it's surrounded by beautiful rainforests, and it's just going to be an amazing ride today. Yes, so we have about 30 miles to the capital, which is about like 50 minutes or maybe one hour, and it's already nine o'clock, so better hit the road. Let's go. Perfect. Thank you so much. Any other batteries or just one? Just one. Okay. Micro SD. Okay. Micro SD. Okay. Yeah, it looks like it's working. We had a camera here, but it fell on the street. Yeah. One car drove over it. Yeah. The camera is broken. I'll give you a card for our YouTube. Thank you. Awesome. See you. Our first recording with the new camera. Woohoo. Yes. Camera, camera, camera. Okay. So it's time to put everything back together. So... Oh, Jesus. Got glue dripping everywhere. So this bit goes inside here. This is actually the bit that broke off. So glue it all back together. Because I love this pole. All right. Yep. So this fella just came out of the house. I gave us these rain covers. He just came out and said, I have a gift for you guys. Thank you so much. That's awesome. Welcome to Costa Rica. Thank you so much. Costa Rica. That's awesome. How cool is that, hey? Whoa. You are rain protected. I'm so rain protected. I'm ready to return back to Ecuador and peckle the rain again. And this is our new setup for the GoPro. So basically we've taped everything up. We've super glued it. And we've added a bit of dental floss and attached it to this clip. So basically, if this does end up falling off again, it will kind of hang. So let's imagine that this all breaks apart and this falls. And then it falls. Oh. And there we go. Learning from our mistakes, hey? Wow. What a clean lens. What a good lens. Here you go. There we go. Hello. Yes. We're back. That's awesome. Cool. Three cameras are back, baby. Wow. Awesome. Thank you, thank you, thank you. So whilst we were making our way back out of San Jose, I thought I'd tell you guys a little bit about Costa Rica's capital city. So the city of San Jose was founded in 1739, but it didn't become Costa Rica's capital until 1823. The name San Jose is in honor of Joseph of Nazareth. So Jose, Joseph. And it has actually a really nice climate because it lays 1,170 meters above sea level. So at the moment it's really nice, fresh 25 degrees. Yeah, it's actually really really beautiful for riding in compared to like the rest of Costa Rica that was like so hot. Boiling hot. So the city's population is only 340,000 people, but in the greater area there's more than 2 million people living here. Hola. Gracias. Okay, go. So a recent study actually found that San Jose was the safest and least violent and dangerous city in Latin America. But now we're heading out, we've just gone through the payage and we are on our way to see a super awesome volcano. I'm excited and the weather looks really good as well, so I think we will get a good view of the volcano. I have to take off this raincoat. So I think in the future when we wear them we have to wear our other raincoats on top. Okay. Double rain protection. So I just went here into the supermarket because we wanted to celebrate the success of our new GoPro with some really nice treats. And I found a nice treat. It's like a cheesy bread. With some marmite on top. We are so incredibly boring, but it's surprisingly expensive here. I paid 25 pounds for some red bulls, some cheesy bread. Then I bought a muesli, I bought some sugary water and ayah and some coffee here. And a really nice jabata bread and like the cheapest cheese I could find. Like just a few ingredients here added up to 25 pounds. It's crazy. Where is Aldi, when do you need it, hey? So we have left the busyness of San Jose behind and now we are snaking our way up into the mountains and the road ahead looks ridiculously windy. It's incredible how steep it is here. I mean we had some really steep roads in Ecuador already but this road here is like high up there. Pretty crazy road. But super sweet little villages alongside here and also in between we have awesome views, awesome views. Massive bamboo here. Oh my God, yeah. Nice. It's going to be a mountainous day I think. I guess so too. It's going to be a windy day. Yeah Costa Rica is so pretty. It's so pretty, it's so clean. It's a really nice country. So we've stopped here in the town of San Ramon and it's still pretty hot. So we're following the advice of this lady in the hostel that we stayed at a couple of days ago. Thank you. And having some pineapple. She said that it was a good way to help cool you down. It has like anti-inflammatory properties. So we're giving that a go with our tropical iced tea as well. Yummy. It's a fruit fiesta right now. So we've travelled 73 miles today so far but we've been on the road since this morning for five hours and 24 minutes and we have 44 miles to go to get to La Fortuna which is like the beginning of the volcano area. So it's pretty slow going. It's pretty windy roads, a lot of cars and I'm just waiting to see if we can get out into a bit more kind of wild country to be honest. It's a little bit too busy. Yes me too and I'm excited to eat the pineapple. Yummy yummy. So we have entered now the famous Costa Rican cloud forest. I saw a sign that this is some kind of cloud forest. Yeah and it is very cloudy. Hold on, one way bridge. Yeah it's actually crazy the difference in the atmosphere from when we came out of San Jose to any three degrees blazing hot sunshine and now it's like 22 degrees and the air is like, yeah, moist. Oh look some dogs. Holy baka moly. But also like nestled within this forest area is what I think is tea plantations here. I'm not 100% sure but they kind of look like tea bushes. Yeah we can see actually loads like over the hills here and we saw people already picking the leaves as well. So it's really interesting. Whoa okay we're going over a crazy metal see-through bridge here. Oh my goodness. Be careful my love. Yeah that might be quite slidey for us hey. Yes. Oh my goodness. Wow. Some crazy views. Crazy, don't look down. No this doesn't feel too great riding on this. Oh no. Wow. Pretty crazy stuff. Whoa that's weird. Made it. It's super wet here as well. We are in the clouds, in the cloud forest and actually on the other side of Arenal the volcano that we're going to be riding past today is the most famous cloud forest in Costa Rica which is called Monteverde cloud forest. Holy moly we got some rain. This is the last thing I was expecting today. Oh man. Yeah but we are only two miles from the town of La Fortuna which was sort of going to be our pit stop anyway so I reckon we'll just try to just blast away the last two miles and then run for cover. Maybe stop have a coffee. Oh my lord. No it's getting worse. It's getting worse. I hope the GoPro 8 is waterproof. I believe that it is. Come on La Fortuna. Oh man I just wanted to get that last couple of miles. Yeah that's really unexpected actually. Yeah that came on super fast. It's been quite a challenge today. We've only managed to do 115 miles in nearly 7 and a half hours on the bike. The roads are pretty tricky here to be honest. A lot of traffic, very windy, very narrow as well. And now rainy. And now wet as well too. Oh no. Throw that into the mix. Be careful here. Yeah. Okay one mile ahead. Alright let's just see if we can find somewhere to grab a coffee. Somewhere to get undercover. How's the bread? It's a favourite. Is it okay? Yeah. A little bit wet here but otherwise it looks good. Good. So yeah we found a covered place so we're just going to grab a couple of copies here and see what happens with the weather I guess. Gracias. It stopped raining. Which is amazing. Alright. So we had a bit of a decision to make and we actually decided to stay here in La Fortuna tonight because it's already nearly four o'clock and actually the volcano at an hour should be just here. Like we're pretty close to it already but the weather is just too bad to be able to see it. So we have decided that we will stay now here for the night and then hopefully tomorrow morning we have the chance to see the volcano. Yeah we should at least give ourselves one more chance hey because if we go there now and ride past it number one it's probably going to rain again and number two we won't see anything. Yes. Yes. You know we already went past that volcano in Ecuador. The volcano is somewhere over there but it's so cloudy it's so rainy we can't see anything. We couldn't see anything it was freezing cold we were wet and we had a terrible time basically. So anyway it just makes sense for us to stay here in La Fortuna tonight. There is a hostel nearby which is not cheap but relatively cheap. Yeah it's still affordable. It's like a dorm room and a bed costs 11 pounds so would be like 22 pounds for the night for us both. Yeah. Just about as much we can afford really. It is a very very touristic place of course being so close to volcano Arenal so yeah I think that's pretty much the cheapest place we can get. Yep. So I think it's literally just straight up ahead and then we're going to start tomorrow morning really nice and early and hopefully hopefully the weather will have cleared a little bit and we can get some good views of Arenal. Okay there's Hotel La Cascada just here. Yeah this one yeah. Hotel and backpackers all right. Yep. Let's see. You never know maybe they give us a room. Maybe. Let's see. A few moments later. So Lavi just told me that they gave us a private room for the same price as two dorm beds. That's awesome. And also apparently the parking is actually just the hallway here. Oh no. I don't know if the GoPro pole at the back is going to fit but let's see. How's the pole looking? Okay. Yes. Wee. Cool. All right. Private room baby. So that's 20. In the end it was 24 pounds for a private room. Yes. That's still the cheapest room in town. Yeah. So that's good. Good evening guys. We made it. Happy and alive. Yes. We have finished for the day and it's not raining. And our room is just here. So it's like this one we've got our own little balcony in front of the room. Yeah. And check out this beautiful park. It's absolutely beautiful. Look at this tree. All right. I've got to go around. That's a massive crazy tree. So we're just going to walk around and see if we can find a bite to eat. Maybe something local. Maybe something Costa Rican style. Yeah. Let's see what we can find. And let's pray that it won't rain tomorrow. And we have a beautiful view of the volcano. I really hope so. And that's it from us today. We hope you enjoyed the video. If so, please give us a thumbs up. Subscribe to the channel. Share the video with your friends and family. Comment below. And if you really, really, really like our videos, you can join us on Patreon. The link is in the description below. We will see you next time.


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Demchants DK Metcalf Seahawks rookie ticket RPS Do the end or was incredible Higley I questioned your love of Star Wars. Yeah, I don't think Higley enjoys Star Wars You just try to enjoy the first three movies I mean, I know Seahawks that is expired, of course You will have to get with the with pinini to see if they will honor that 2021 couple of boxes here Not everything needs to be dark It was kind of dark at some point. I'm not gonna spoil it, but I was about to but It's been out for a few months. Yeah, I would have to people died. Yeah, I know like immediately What about that one old guy? He came like a Everyone that was on the line was like, oh, no Oh sad lose for the characters Higley's just conch I just contrary opinion on the Star Wars here. I guess Forge your points random to everybody at the ends. Is everything shipping this or no? Yeah does To 99 hunts along in time of trouble. It's gonna go top to the dolphins there. You want more? And always empire the whole thing like I don't Travis at CN jr. On the rookie ticket RPS for the Jags There wasn't even like a happy ending in Supernatural fields you're contradicting yourself. I'm really confused. Is that a Star Wars is that Star Wars media? It's gonna be a new series. I hope it's not a musical. I swear if it's the music They said it's a mixture of frozen meets kill bill so prevent Jordan rookie ticket auto for the Texans whatever that. Yeah, but what does that mean? That's all the biggest misdirection of all time. I think frozen. I think musical like You're gonna be a talking snowman in it. I don't understand. I Mean you're contradicting by saying you want more Empire stuff and yet and or was basically Empire stuff so 299 commanders chair McLauren season ticket. It doesn't make any sense I'm just saying you I'll I'm saying as you're going contrary to like most people's opinion on it Yeah, I mean you're the one bringing up newest trilogy we're not talking about that. 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Yeah, it really doesn't Redemption JC Horn rookie playoff ticket for the for the Panthers JC Horn Panthers again Like having having a character like Wolverine or Deadpool make sense to have a radar movie make sense Star Wars It doesn't I agree. I agree with Donnie Get the areas Tony Giants on the rookie ticket RPS On car for the Giants there Mac and Fields That's pretty much the Bosch in the phone work It is savagere pressing quote which won't worse is darker than a lot of the live-action stuff right at that times So Higley just wants a movie about Savagere press he just wants to sit just killing a bunch people Ben Mason Patriots rookie ticket auto his patriots Haley's gonna have to make this movie himself. I think David Montgomery to 99 power players for the Bears I think you have a lot of people on board for this. So I don't I don't know how it's gonna premiere the box office Darth Vader hunts down Jedi. He has inquisitors for that Why would he waste his time? We just sit in his castle on Steward on the rookie ticket auto for the Bucks All right, let's random off the point to do a quick recap Nothing huge or some solid hits though, especially in the 19 boxes 2021 not the best. All right forward to point to everybody Go geez 12 times. Oh geez Grif's up top get some one two three four five six seven eight nine ten eleven and twelve Colts that Obi-Wan series did not do a great job with you. Yeah. No, they did a bad job I'll be one serious later scenes are cool. What once here was meh Outside of the outside of the the Vader scenes meh. I agree Didn't hate it. Didn't love it. Don't care. Anyway Autos up Grant steward Ben Mason and Cadarius Tony Panthers J. C. Horn playoff ticket there on the redemption Greg Rousseau Jonathan Cooper Dylan stoner Revan Jordan Travis Hetzi and jr Seahawks redemption DK Metcalf again. This is expired from 2019 Uh expired in 2021 So you uh, Seahawks, you will have to unfortunately go to uh, panini and see if they'll honor this for you Or what else they'll offer in return for it got Isaiah bugs Ryan Connelly Jake Dolgala Zeke to 25 pretty nice one for the cowboys DeMarcus Christmas a Rockison and a Ben Bonogu do a lot of the Colts Jimmy Moorland Devin White and a ticket stub of Darius Slayton for the Giants That's gonna do it. Thanks again everybody Moving on to the last break


Join us wherever you are. It's early in the morning here, but it's afternoon in Germany in Europe so I have my friend Bhakti with me and What a delight. This is such a delight for me to have Bhakti on today. She is so devoted to spirit. She Practices everything that she speaks and writes. She's authentic and transparent and has a great wisdom pouring through her and great inner strength, of course, which it takes to follow the spirit in a very deep uncompromising way and Also, Bhakti is talented. She's multi-lingual. She speaks many languages. She plays the guitar. She sings. Wow Spirit is the angels are rejoicing with the way you Give your life over to spirit and to God. So just thank you so much for coming on with me today It's just a great honor to have you and have a conversation with you Thank you, David, for me. I'm so so happy for this opportunity with you and to to share and Yeah, to be to be in this great Communication Yeah Well, there's so many things we could talk about because I know Wow, you've just gone through so many amazing hard-opening experiences and mind-expanding experiences from traveling to India when you were younger and More at the beginning of your spiritual journey and going through lots of we'll say unwinding and dismantling That you go through and just letting go of concern for the body being there at Arville and in India and then we have a mutual friend in in the Middle East there in Israel that you've been able to go and visit and and really Maybe you could just share a little bit about how how it's just been this journey that you've just kept to faith with all these years in Terms of the authentic spiritual journey. It can seem to the ego. It seems messy It seems the dark and it seems extremely intense at times, but but your faith has grown so strong Through all those trials and all those challenges Say that the essence of my past is that And is in the center of my life and I Yeah, I was really struggling and as Everybody else I tried I tried to be right to Yeah, I tried to find its world and I Felt so much so much pain pain to do that to try to to to be someone Actually, yeah My past started with Yeah, it was this incredible Pain I can't it's not the purpose of my of my life to take a special role and to Something to reach something And that felt so Yeah, I mean at the time I was so depressed And I was growing up in in Luxembourg at the time. I was working Travelling everywhere I have my my horse is But inside I yeah, I I feel bad and so depressed and I I Started when I When I opened up to this Here I am I I can't I can't in this in this way. I'm not able to do that but here I am life just Yeah guide me And How it it started and then I Yeah So my my horse my car and yeah, and then I went to to India To all of it Just the way it It started and I met yeah There's which is help helpful Encounters and yeah, they are my journey started Many states and this development and many traps also Because I went Yeah Spiritual Yeah Yeah, I'm telling you I really found Being in service Yeah 2006 I Really also to do course in miracle and I have been desert Yeah, that's also Met a frat and yeah, I went Everything what is written down in in the course everything I Yeah Some some years being Americans, yeah, there was darkness coming up. Yeah, not all the ideas What I had to I have to do Yeah, and also Yeah, some desires of the heart and Yeah, I Also thought that I have to Sacrifice all those I was really Yeah a process deep To offer all all of those desires and Yeah, and I I Found I found a freedom in this Freya Decide Nothing nothing on my own really They will be done. Yeah That there is This Is wonderful And Plan Yeah, and that he's From my own will so yeah, and this in this process Yeah, many many stations of my soul Yeah Motherhood Son Yeah, everything everything what Yes Actually my Yeah, my my joy with cause Yeah That I see is so nice to love and to be more and more and this radiance and Yeah, my my special function That's yet. It's my vehicle. It's like it's my wake up call Yeah, it's all Always Yeah all on my will Yeah, and for for me personally so much the Form Small Community my house Yes, I don't Form here because it's just like I am I don't Have this special my my life. It's I just just about Yeah to be To be who I am in every situation in every Relationships to follow the guidance To hear the voice Of the spirit and to receive it for me and to share it Not yeah, not for other At the same time I hear and I And I share it Spirit speaking Yeah That's what I Yeah, and there I Really straight to practice that because I I Don't want I don't want to and Want to to meet everyone this identity of Love Hmm, so beautiful, you know, it's I'm in the middle of doing a an online retreat called The miracle is involuntary and I think that your life is just a Great example of that, you know that Jesus says in the course miracles are involuntary And they should not be under conscious control and there was a time I where you said, well, would you write a like a forward or Introduction to my book that's coming out a trilogy of books and and so I got to read the book And and I could really feel that when I when I read your book the first part the first one Was even when you were in India and you had sold your horse when you were up in Europe But then when you were going through this big dismantling then even horses Showed up there at Auroville. You were able to work in the stable So how gentle the Holy Spirit is to bring those same symbols that you Relate to that helped carry you through that experience and then when you came up and then You when you had silly and you know, that was another Experience this is what is given to me So how beautiful that you've been able to pour your heart and be Have so much love extended into silly and in such a deep Connection and and that you're just listening to what comes out of his mouth Because the spirit comes through so much in that way and that's such a great Example two for parents because sometimes parents feel like their their child is More in a typical way for they have to really Raise the child to be a good citizen or a good provider and Money-maker and contribute to the gross national product and your relationship with silly and is not that it's this deep it's a holy relationship of Openness of of connection of transparency and then also I remember you called me When when your mother you were just on a walk with your mother and and she was guided to Sell just came right out to you and said I'm guided to sell an apartment and I want you to put this money towards buying a house where you and Sillian and and other mighty companions can come and This is so important too because this is just showing how just at the right time Things are given as symbols that are perfectly effortless not something you were Trying to make happen. It just dropped into your lap and then More healing I mean getting a house in the woods and in beautiful nature and and then working to fix it up, but that was a whole other phase and then the mighty companions start showing up and and then Whenever you have a group of people live together, whether it's just two people in a relationship or a household with with you and Sillian Financial considerations come up How do we spend the money and and how do we handle the money and those kind of things which everybody deals with on a practical basis? but for me your life has been just one flow one series of of of involuntary miracles where You lead with your devotion where you just want to see our shared identity and everyone that you meet And then as you go forward with that then the backdrop just shows up It's not something that that you have to put a lot of effort in it's it's some ways It's like a fairy tale I mean if we put down all of our life story people would say wow are some real dark times and hard times But but now I don't think either of us feel that way It feels like we were like a twig in the river somehow We were just getting carried along down when the river turns and twist we're just happily bobbing along and and going along and and it shows how When you have a devotion to God Everything is taken care of Everything without exception for for you for your mighty companions. I think I read a couple of days ago, I think you said silly and starting the second grade and and even To to be pretty much will say like a single mother in the middle of a pandemic. I Just so enjoyed reading What you were writing because it was things basic things like with lockdowns and going to buy groceries in the grocery store or Places where silly and could be or couldn't be and and you just lovingly took every single situation is just an opportunity to live in grace just lived by the grace of God and I do feel like that is such a strong example because we both know when we tried to fit into the world and we both had skills and abilities and and Coming from Luxembourg, you know, you already had what people would say is a great lifestyle And and yet you weren't happy and I think it was the same with me I seem to have all my material needs met But there was an emptiness inside like this is not why I'm here It's almost like a something gets activated in us. That's taking us in a very different direction from the typical ways of the world and And also to not Judge anything, I mean, you know, I know you recently you were posting or sometimes people write in why do you wear makeup and and Do you eat vegetarian or organic and all those things I get all that too because when you're public whether Facebook or whatever then you're just there to shine the light, but then there seems to be these Thoughts that swirl around that something should be different and and yet we're kind of in this graceful state where we know everything's just exactly perfect as it is and we don't need to change and we don't need to try to act spiritual or follow some kind of spiritual regimen and You do that so well. You just live there. You're you're raising your son You have a group of mighty companions that live with you and it's very natural I get the feeling that that you're just living the most authentic natural life There could be and and just saying this is me This is me. I'm not I'm not gonna make any excuses or try to even Try to to justify anything. There's nothing to justify. It's just you're living a wonderful life and and sharing it not necessarily by Trying to you know speak around the world or whatever, but just by your presence and And that to me is also what a teacher of God is a teacher teaches through demonstration Above all beyond the words even the attitude and the demonstration of how you carry yourself is is the highest quality of a teacher of God and I have met many teachers of God around the world and and that the things that really touched me the most are are the humbleness are the The the faithfulness, you know when you meet somebody you really are there fully present with them You know to you're giving of your whole self You're not just trying to Navigate through the world.  This is like we have a very honored life to just be our natural self Thank you My book Yeah, and I could say my my past it's really Smooth because Yeah, because it's so clear that of my life is Be wholly in spend and of course I am Yes, I am leaving leaving here and there are issues and and relationship Yeah this just have to to take it and for to offer to him Just to just to be in this present and Yeah, of course, sometimes I I feel those feelings of being headless and Not anything and it's just yes In this and I go Into the into the play I just feel that my life kind of a prayer Yeah, and then Miracle help there and this Yeah plan Just It's an Yes Every other little step spirit Here I am just show you the next the next steps that I follow I mean this open up my mind for Voice and voice True to my from my brothers actually It's really really Simple When yeah darkness comes up. It's so Yeah, so many of us and of course I experienced that also then struggling struggling and to Yeah, this Confusations is that trying to solve something there Yeah, just have to accept the atonement such Yeah, such an important Just such an important prayer remind Responsibility is to accept to accept the atonement and and then then healing happens cause I Yeah, at me everyone Love yeah humbleness Open up myself But spirit My humbleness Yeah, just needs that I What I really am that I Was love yeah Yeah, it is amazing Well to me it's you know you Because of your humbleness and your openness and just your willingness to be a service to God, you know, it's Just from the prayer of your heart so much comes through. I mean you You are quite a beautiful I would say almost like a scribe for spirit because I Remember we talked at one point and you thought well Don't mind writing some stuff down But I'm not going to put it on Facebook and then the day came to put it on Facebook And you were just so willing to okay do that and then I Think so many people have been touched by By your you allowing the spirit to to come through and to write And it's a it's a practical Way of writing. It's it it has deep ideas, but it's always woven together with the practical And that's I think So important, you know, you don't Skip over anything you you talk about the things that you're facing in your own life and and how by surrendering they Resolve everything that was a challenge resolves itself through that prayer and through that faith and also, I guess it's more than just describing with the words, but you've written songs beautiful beautiful touching songs and Play the guitar and I think there's something about music that just kind of goes right into the heart It just it just doesn't filter through the intellect because people When you're on a stage or you're playing with your mighty companions You can feel you can see the joy on your face. We can see everybody Is having so much fun. It's so you're so happy with it and then and it's a felt experience So I think that's another way of transmitting the love and the light is that way through through the music so and The other thing people should know is that you know, of course, I When we even talked about doing this Conversation, I think you were on a vacation with silly and and and people should know. Yeah, that's their time for vacations where you Go off with your son and have a wonderful time and intimate experience a spaciousness with you and your son on a vacation to to away from the house and school and all the other things and Sometimes people feel like oh if I give my life to spirit, then I'll I'll never have another vacation or I'll never get to do the things that I want to do because it's just that Deep belief in sacrifice, but I think you're demonstrating that actually no, it's there is no sacrifice In following God that you can have fun on a vacation. You can have fun walking silly into his first day of school and just I know how I was in the second grade when I went to the second grade. I I was a little bit a Little bit scared. I think the beginning of every school year, you know, meeting a bunch of new children new classmates new teachers. I Remember those grade school years where I just was you know, I Would have loved to always have my mother walking me or taking me Taking my hand to go through those experiences because they were quite I was very shy So it was you know quite fearful change. It was just a big change I I felt comfortable at home with my pets my dog or my cats But but with new people and new situations. There was a bit of fear So I think it's a good example of how you just live your life And then you just offer yourself to bring peace. You're a bringer of peace you're a bringer of harmony and I'm showing a Turkish series now called another self that's on Netflix, but the characters are Demonstrating every week every episode that the issues that come up for them are just some form of the past That's still being clung to or held to in the unconscious mind and and I think your approach of just trusting and taking whatever is given you is is the way that we are carried through these challenges because the unconscious mind does Bring things up issues or things that we sometimes don't even expect. They can be very unexpected But the surrender and I give this to you. God. I give this to you. I know this is from my mind I know this is for healing That's what Allows it to be carried carried away. It comes and it goes When when we're humble and when we try to handle it on art with our own personality selves It's it's not easy at all. It feels overwhelming and it feels stressful, but You know, it's beautiful. You're just showing the way that no just be prayerful and faithful and It is gonna work out great It does Yes Music music for me. It's also. Yeah, that's something into me Yes when when I when I music I mean this intimate deep Confess very I just open up Yeah, and that's also what I When I write I'm this I'm in this flow Yeah, this development trust when I get when I at the beginning Yeah, this date and I was The good student I really want to do it, right? and I gave I gave up I gave up the music I Yeah, I was in what I was doing before And I think it's it's just it is Yeah, it's necessary to To do it And then we go further on the path and then we we see know that It was me just do do it in this this and then Yeah, and then to to like I Not know why I gave up And then Yeah, and they be in this to use everything just Tools whatever it is in my case is right acting Just yeah To use everything to communicate Is this Tools yeah, yeah Yeah, it's amazing how sometimes we Have some kind of concept in our mind of what's Spiritual or what we should be doing or whatever, but in the end of spirit always playfully Reminds us It's great you you're wonderful with the music Have fun with the music and then when when we go into it. Oh my gosh, it's so wonderful. It's so natural and But I think that's of course that's part of the spiritual journey where you Even no matter what path you're on that the ego is trying to judge certain behaviors and Judge certain forms is better than other forms even though the first principle of a course of miracles is There's no order of difficulty in miracles I can just see Jesus laughing with all these attempts to Put something down or push something away and just laughing and encouraging us. No not necessary The you can have you can use this the spirit can use The body and a communication device in Beautiful wonderful ways and you don't have to be analyzing and judging Is this right? Is this wrong?  I think I think it comes through in your presence. You have very Soft eyes. You have very kind Gentle eyes so I can see when people would come to do like a one-on-one with you. They would just immediately feel Welcome and safe In in the presence to be able to to talk about whatever Whatever is going on for them And I think that's the key thing that safety and that gentleness and non-judgment is is That's the spirit for sure. That's that's how it works That's how it works to be in this presence To see to see in this Yeah, yeah Yeah, sure Everything is used That's cute Well, I Know that if you and silly and ever decide to take a a trip to the United States or Mexico Be so wonderful to host both of you maybe when he has a Pause usually is sometimes his summer break or something where there's a pause from school and If you were up to it and he was up to it I would just be so honored to host you both and that could be a just a fun vacation to meet a lot more mighty companions and I've actually Had our friend effrat Her son Told me one time young town. He he told me that one time he You know, he didn't know too much of the course of miracles and being a Jewish man You know, he was not you know so much and maybe to Jesus says as Some people are but you know, he thought oh, well, I'm just living my life trying to live a good life and curious but he went He went to a gathering that his mother effrat was doing with the a course of miracles gathering and and He said I think was He just said his heart opened up. He he couldn't explain What was happening or how but he just felt there was a warmth in the people and his heart opened up and and More recently then he's he's Felt much more of a connection with a spirit coming through him. He's not sure if it's Yeshua or who what the spirit is but Musically his his heart is expanding His his outlook is getting softer and Sometimes I know that's what I liked about travel Was that it helped me open up because I was always meeting new people And I was in so many new places and I thought hmm This is the spirit helping me to trust more to become more calm and confident and and Just enjoy the moment with whoever I'm I'm meeting It helps me expand it helped me a lot so and I know Yeah, you do sometimes take your trips or vacations Just know you have an open Invitation if you ever feel to come to the United States or or down to Mexico because it would be yeah Just delightful to to spend some time with you and Sillian Yeah, oh, yes Meet two years ago and then Lockdown it will happen. Yeah It will happen. We won't let a pandemic get between us We'll we'll come back for another try Well, thank you so much for coming on with me and I feel this is in the flow when you mentioned this day I thought oh, that's good. That's the middle day of my retreat on the Involuntary nature of miracles and I thought wow, that's Jesus orchestrating it to to bring Bakhti into the middle of my retreat on involuntary miracles that that was a nice stroke of love like a fresh breeze blowing in because You know, it's I think everyone wants to see examples and witnesses and you know, you're just a natural Witness to the miracle, you know when people Think of a course of miracles I would be happy that they would think of you because they would they would have a kind of example of you know What the love is truly like so so thank you so much and yeah Give a big hug to Sillian and and all your mighty campaign is there and if I if I make it to Germany I will certainly Come and and look you up and come to your house in the woods Yeah, so I come And yeah, thank you David or your light I Really see so you you bring Everyone together in light Yeah That's beautiful, that's what we're all we're the same one so I Keep trying to share share the good news. We're all the same one Okay, well, thank you and thank you everyone for tuning in and we're with you and we're so grateful


Hi, I'm Zor. Welcome to Unisor Education. I would like to continue talking about statistics, and in particular today's lecture will be about histograms as one of the very important tools which is used in statistics. Well, this lecture is part of the course of Advanced Mathematics, which I present on Unisor.com. I do suggest you to watch this lecture from this website because it has a very detailed explanation and notes probably sometimes even better than whatever I'm talking right now because I was writing them and I was thinking a little bit more thoroughly. So anyway, I do recommend you to watch it from this website and in addition there are exams on the site and many problems, etc. Okay, so let's talk about histogram. Well, let's just consider that you would like to have some idea about how a certain random variable is distributed and you basically don't have any theoretical knowledge about how it should be distributed. Just as an example, in the doctor's office patients are coming in with certain illnesses and the first thing which they might do actually is to measure temperature. So you don't know how the temperature is distributed among people, how many are with high fever, how many with low fever. So basically you just don't know any kind of information about this. So you do have observations. So you observe the random variable, you had its values which it took during certain number of times and primarily we're talking about independent and unrelated to each other experiments. So basically we have exactly the same random variable which we are experimenting independently again and again and again. And based on the result of these independent experimentation with the same random variable, you would like to have some preferably graphical picture of how the probabilities are distributed among different values. Well, let's talk about a very simple case right now. Let's say in this particular case you have a random variable which you know something about. Let's say this is a dice and you know that there are only six values, the random variable which describes how the dice rolls so this random variable can have only these values. So that's much more than some people know about random variable. So you know beforehand what you are dealing with. You're dealing with random variable which takes these values. Now, again, let's say you don't know any theory behind how the dice is rolled, whatever it is, it's rolled and you don't know whether the dice is ideal dice or not ideal. So all you do is just experiment.  So you have n experiments and you have results. Each experiment has its own result. Each of these are either one or two or three or four or five or six, obviously. Now, what can be done in this particular case? Well, one of the reasons which you might actually, you know, kind of apply to this particular case is, okay, I know that the random variable in n experiments took these values. Why don't we assign the probability of one n to each one of them? Since these are independent variables identically distributed, it makes sense to assign the value of one n to each one of them. Now, there are only six possible values, which means that there are many repetitions. I mean, if n is relatively large, like 100 or 1000, then you will have repetitions because there are only six possible values. Okay, you say, fine, whatever these values are, I will combine the probabilities of all of those which are equal to one and call it, let's say there are n lowercase one, and call the n over n an experimentally received probability of getting one. And similarly, I will count how many of them are equal to two and I will have this probability of two, et cetera, up to six. So, I have this as my sample probability distribution. How can I put some visual representation of this? Well, very easy. Very easy. You have a graph. Here you will have numbers 1, 2, 3, 4, 4, 5 and 6. And on this segment, you can put some rectangle with the height proportional to n1. This would be n2, this would be n3, this would be n4, n5 and n6, something like this. Generally speaking, obviously, they can be different. So, this is your graphical representation of the distribution of probabilities in this case. Well, it's relatively understandable what it is, and it's relatively simple thing. The problem is it's a very rarely occurring situation. More frequently, we don't know beforehand these values, and most likely, the distribution you are dealing with would be continuous distribution, which means all the values are possible within certain reasonable range. And let's go back to my original example about temperature of the people who are coming to doctor for a visit. And right now, what you can do is just to measure the temperature. Each one has certain temperature, and if your thermometer is reasonable precise, let's say it goes to, let's say it's in Celsius, so it's something like 37.2, right? So, you have a reasonable range, let's say, from 35 to 40 degrees Celsius of temperatures. Normal temperature in Celsius is something like 37, more or less, and in Fahrenheit is 98.6. So, our temperature should be somewhere around these numbers, not much higher and not much lower. So, you measure the temperature, and yes, you also have some repeated values. For instance, 37.2, if you measure 100 people, well, then maybe like 4 or 5 or 7 will be with the same temperature. So, basically, you can apply the same principle. However, that's not really the right thing, because you feel that it's not only these 100 values which you have received are possible values. You know that everything in between is also possible, you just did not have this particular case. So, let's say you have 37.2 7 times and 37.3 none at all. Does it mean that the probability of 37.2 is like proportionally to number 6 and 37.3 is 0? Of course not. So, what can we do in this case? Again, the reasonable approach is the following. So, you know that during all these experiments, the range of the temperature was like this. So, what you do is you divide this in certain number of cases. Let's say you have 100 patients, okay? So, you have 100 numbers, each one of them within this range. So, what I suggest you to do is divide this interval from 35 to 40 into certain number of intervals. Now, what number of intervals is a different question which we will address? But my first attempt was to divide it is, let's say this is 35 and this is 40. Let's divide it in 10 different pieces, something like this. So, from 35 to 35.5 to 36 to 36.5, 37, 37.5, 38, 38.5, 39, 39.5 and 40, okay? Now, having these 10 intervals which we will call bins sometimes, bin. So, having these 10 bins, 10 intervals, what we can do next is take all 100 layers which we have received of the temperature and what we will do is we will have a counter in each bin. And if a particular temperature, let's say 37.2, it falls in between 37 and 37.5, then this particular bin, I will increase by one. Then another temperature comes and I will increase another. And gradually, I will have some kind of a graph which will represent my distribution of probabilities and I can say that the probability for the patient to have the temperature between 37 and 37.5 is proportional to the height of this rectangle. As a result, again, we can do it proportionally, obviously. You don't have to build it up to 100 or anything like that. It all depends on the scaling, obviously. So, you have a reasonable scaling, some kind of scaling. And as a result, you will get a certain number of these rectangles positioned one near another. And the height of the rectangle will actually specify how many different values in this particular range really occurred with our random variable, which is the temperature. And this particular graphical representation is a histogram. Alright, so a histogram is a graphical representation of the experimental probabilities which you obtained from basically making independent and identically positioned experiments under identical conditions. Alright, so now the question still is open about number of bins. Now, let's think about this way. For example, you have 100 values. Well, if you put it in too many bins, let's say you have 50 bins, then you will have lots of empty bins and some bins will have 3, 4, 5. As a counter, which doesn't look like the right representation of the probabilities. Because whenever you have too little number of hits to a particular bin, then it becomes not really representative. You know the law of large numbers, right? The more data we have, the more precisely we can evaluate. So, if we have very few values within certain intervals, that's actually not good. It doesn't really make your understanding of how the probabilities are distributed any clearer. On the other hand, if you have too little number, a small number of bins, let's say from 100 experiments you have something like 4 bins, right? 4 bins will not really present you any kind of a nice graph, so you will have something like this. Well, it doesn't signify much. Again, in one case, when the number of bins was too large, we have too few hits per bin. If number of bins were very low, we will not have a good graphical feeling of how the distribution is actually looking. So, there are certain recommendations. Now, one of the recommendations is that the number of bins should be something like square root of n. Well, I mean, it's very individual and obviously you can agree or disagree, but more or less, if you have 100 experiments, like I did, having 10 bins seems to be reasonably appropriate. And from 10 bins you can really see the distribution more or less. Now, as the number is growing, the number of bins, as this one, seems to be a little bit too much. I mean, let's say you have 10,000 experiments, would you like to have 100 bins? It seems to be too much. 10,000 patients, you imagine. So, the temperature is still within the same range, but you will have lots and lots of bins and it doesn't really mean that one temperature will be... So, you have 100, so it's from 35.5 to 35.51. You need a precision to 100s, which is not really possible, right? So, it's not really practical. Then there is another formula, which gives you a little smaller number. It's logarithm by base 2 plus 1, which is more appropriate for normal distributions with a large number of data, which you have, data elements. Now, I just mentioned the fact that the distribution actually... This one is applicable more when the distribution is normal. Well, is the distribution normal? Obviously, you don't know. However, you might actually think about it this way. If you can imagine that certain random variable takes value, which is actually the result of many different factors affecting this value, like, for instance, human temperature, just imagine you have billions or trillions of cells in the human body. Each cell is like a little engine. It's working and it emits a certain number, a certain amount of heat. And all these little engines are independently working, or independently, nobody really knows, but anyone, each cell contributes its own small piece of heat. And it's the result of combination of all these little cells and the heat which is produced by them is the result which we have on the thermometer. So it's reasonable to assume that whenever you have lots and lots of contributing factors to something which you are measuring, something which you are experimenting with, according to the law of the large numbers, the distribution of this conglomerate random variable is relatively close to normal distribution. So in some cases, you just assume based on some general consideration that your distribution should be close to normal. In some other cases, it's completely unapplicable, obviously, and there are cases when it's definitely not normal. Then you probably should do something else. And again, something like this recommendation, or even this one as well, the number of experiments is large, is a good recommendation for the number of bins. Now, once you have established this, next question is to divide the range which you have, in this case I said from 35 to 40 into intervals of this number. Well, are intervals supposed to be the same size? Well, I have actually divided this way the same size. Each one of them is half a degree Celsius. Well, in most of the cases, that's probably a good idea. In some cases it might not, because in some cases if you will have a distribution, let's say very rarely you have minimum and very rarely you have maximum, and most of the values are really here in these values. So if you put equal size of each interval, then you will have 0, 0, 0, 1, 1, 0, 1, etc. And then at that moment you have a very steep wave of the numbers which fall into the lower, into the central values of this interval, which doesn't really look good, in which case you might actually reduce the number of intervals, combine them all into one. So it will be a bigger interval, but since in each smaller interval you have a very small number of values, in the bigger you will have something more reasonable as the number of values, and your curve might look a little bit better, something like this. But again, it's very individual, it depends on the experiment, depends on the random variable and its distribution. But generally speaking it will be fine if you just think about number of bins as something like square root of n or logarithm n by base 2. And if you will establish intervals of the same length like I did it in here, you'll be fine as well. In any case, your purpose is to get histogram, which means to get some kind of a graphical representation. And by the way, this particular, in this particular case you will have, I have basically some results from one of the websites, and the results are something like this. This will be 1, this will be 3, this will be 16, this will be 38. I'm talking about the height of the rectangle. Then you will have 18, 15, 6, and 1. 1 and 1 and 1. Okay, this is by the way the case I was talking about, when you have too few hits to these intervals, so you might as well combine them together. But in any case, you will see something like this. And this is very close to the bell shape, which is typical for normal distribution. And again, as I was saying, considering that the temperature is actually a result of some kind of a combination of millions of different factors, billions or whatever, which are happening inside the body, then it's not a surprise that this particular curve looks relatively close to normal distribution. And in any case, this particular graphical representation, this histogram gives you an idea about how your particular random variable behaves. And if you have an idea about the distribution, now you can actually calculate certain things, certain probabilities, averages, variations, etc., etc. Not that you can't do it without the graph, but the graph just really helps you. And it's a very, very popular way of representing information in the way of histogram. So I do suggest you to read all the notes to this lecture on unizord.com. And basically that's it. Good luck.


Let me ask you a question. Come here. What would you create with $100,000? My guess is you would answer this insane far-fetched passion project that you've always wanted to make. But what if I told you right now is a time to make that dream a reality? Why, you ask? Because Artlist is going to give one creator $100,000 to realize their wildest creative vision. You heard that right. Artlist just launched its biggest creator fund ever. So what exactly do you have to do to apply for your chance to be the $100,000 grant winner? Step one, think of your $100,000 idea. Perhaps it's a video idea so over the top that you've never imagined you can finance it. Or maybe it's an entire YouTube channel that you've always dreamed of launching. Whatever it is, we got you. Step two, show us what you got. Once you have your idea, create a short video, 90 seconds max, that showcases your $100,000 concept. Post it on one of your social media channels, tagartlist.io, and use the hashtag, Artlist 100K Fund. This video will be a showcase of your creativity, so make sure to grab everyone's attention. Step three, go to the Artlist 100K Fund website and fill out the application form. You'll need to provide your contact details, a link to the video you posted on your socials, and share a few words about yourself and your concept. That's it, you've grabbed your chance to be the Artlist 100K Fund grant winner. The application is open to all video creators worldwide, and you don't even need to be an Artlist subscriber to apply. You can be a beginner or a seasoned pro. What matters is your creativity. So, how will the grant winner be chosen? Artlist will complete a short list of the top applications. If you're on that short list, you'll need to create a more in-depth pitch deck and be available for a short video interview. You're gonna apply to the Artlist 100K Fund yourself or as a part of a team, but only one application per creator or team will be allowed. So what should my idea be about? Your $100,000 idea can be about anything. Go out of the box and submit your wildest, biggest creative idea that you wanna make happen.  Maybe it's a feature-length film that you've always wanted to shoot or even a whole YouTube channel that you wanted to start from the ground up. Applications for the Artlist 100K Fund start today and you can submit until October 12th. For even more information and the full terms and conditions, visit the Artlist 100K Fund website. This is your chance, this is your opportunity. So I'll ask you again, what would you create with $100,000?


This is a picture of Logan from a few years ago. Logan has Duchenne muscular dystrophy. On the particular kind that Logan has, it's a fatal muscle lacing disease. And without the MDA, we wouldn't have the treatments that we have now.  It's a time when he gets to go and be himself. He's not worried about anybody looking at him, finding him in a wheelchair, or wondering why he can't do something that other kids do. The parents, you know, most of them couldn't afford to send their kid to a camp much less have a camp that has that capability. The field of the boot drive is very important for families because it's very important for the MDA. It's just from people digging in their pockets and donating some loose change.  And I don't know where we would be today or where Logan would be without the MDA.


Hi everyone, Joe for JaspysCaseBreaks.com coming at you with that 2022 Tops Inception Baseball Picker team number 13. A lot of great stuff here, all cards shipped, a lot of nice baseball players to chase here. Big thanks everybody for grabbing their spots. We sold this out straight up, no filler. And then Martin, double last spot in Mojo with A's and Cardinals. Thanks to him for finishing this break off, appreciate it. Thanks to everybody for getting in. This is also a wax party break, so we'll do that randomizer at the end, that's my reminder. And there it is, for YouTube, Tops Inception. So you can see four stacks of four to make 16. All right here, you can see on the top camera as well, let's slide those over a little bit, slide those back a bit. Good luck everybody, thank you for the fill, appreciate it. Hit is usually the third card down, all card shipped of course. There's the Corbin Burns, 14 out of 25 for the Brew Crew. And behind Mack Kepler is gonna be our first hit, it's Jersey and Autograph Seth Beer, 6 out of 25, had that great walk off I think opening day, maybe their second game or something like that on National Beer Day. There it is Brody, you got it already, you got it out of the way early, that's for Brody. He was like let's see a big Seth Beer Auto and he got it right there, so you don't have to worry the entire break, everything else is great. Next set of cards here, and then behind Aaron Judge is a YOL Pozo rookie autograph, Pink Parallel 93 out of 99, and that'll go to Ryan Redmond and the Rangers. Look at this guy, this guy had three bombs last night, 63 out of 75, Vlad Guerrero Jr., that's for Logan M and the Blue Jays, and I think two off of Garrett Cole and a third one later on, two of the three home runs were after he got stepped on, he got stepped on his hand, no big deal, they wrapped it up and then he went back out there and hit two more home runs. So on our Franco rookie card for the raise, that'll be for Josh, and behind Joey Votto, what's happened to my camera here, camera froze up for a second, what's going on, alright I think we're back, alright and behind Joey Votto is Randy Arzirania, 43 out of 75, two color patch and autograph, Wander's teammate, that'll be for Joshua as well, alright next box, and behind Louis Gill is a Alexander Wells autograph, 99 out of 299, that'll be for the O's, Joshua with the Orioles, first quarter of the case done, we don't have any more inception baseball unfortunately, not yet anyway, but we did add some more baseball to the site, so check out Jasper's casebricks.com, alright we've got Jackson Kowar to 150, we've got Bellinger, we had a nice night last night, two for four, double on home run, and we've got Lars Newtbar, 106 out of 125, two color patch and autograph, it's RPA going to Martin and the Cardinals, one of his last spot mojo teams, last spot mojo, 70% of the time hits 100% of the time, John yes all cards do ship in this, do we not have it in the description, we did not put it in the description, but yes all cards will ship, products like this all cards will definitely ship, it's only in like real base heavy products where you would have to kind of see if we ship everything or not, is it one more Cedric Mullins, there's Jackson Kowar and behind him the hit, and that's Alfonso Rivas, 13 out of 299, Rookie Giotto for the Cubs, Ryan Redmond, the next bit here, and behind Adolas Garcia is, is Marcos Ditlan, 71 out of 299, Yeet from the UK, nice, how are things out there, first time watching just getting into the hobby, nice thanks for joining, oh Dusty said he got the box of limited that he won the other week, and it ended up having a Justin Fields triple patch book, Otto to 49, there you go Dusty, nicely done, there's Manny Machado to 150, glad you popped it open, and behind Eloy Jimenez is Andre Jackson for my Dodgers, 32 out of 125, Rookie Otto for the Dodgers, Michael, my Dodgers, Michael Mendoza, the minors now, started the season the minors, but he's got he's got some he's got a ceiling, he's got some potential, I'm sure he'll make some starts at some point this year, next box, and behind Ryan Mount Castle is Jackson Kowar, Rookie Otto for the Royals, 50 out of 299, that is gonna be for John Lafarge with the Royals, alright next one, alright we got Brian Reynolds, 88 out of 99 for the Pirates, here's his teammate, Brian Hayes, and behind Garrett Cole is Don of Greatness autograph, Pudge, Van Rodriguez, nice, 13 out of 20, that's gonna go to Ryan Redman and the Rangers, there you go Ryan, pretty good, behind Jazz Chisholm is Alec Bohm, 53 out of 75, is all for is all forgiven with Alec Bohm, I guess he did apologize, he long as he keeps hitting, I don't think they'll mind, Harry with the fight and fills, there you go Harry, alright, what is it? Not only this, this, I don't want it, yeah, why are you putting that bad juju in here? I don't want it in my room, I've had so many bad omens lately, I don't want it, we got to put that somewhere else, can you see it on there? Oh yeah, definitely, it's definitely on camera, behind Corbin Burns is a silver signature, 85 out of 99 that's Tony Santillon, for the Reds that's gonna go to Jeremy, Jeremy H, Red Legs, oh you guys gave me a standing ovation, you were there, okay, okay, it's a bad day at the, well at the fielding office, not at the plate, Blue J's Yankees delayed, first pitch TBD, rain, alright we got the Labor Day, Glaboratoria is 44 out of 50, yeah, these are all on-car, that's the great thing about, about inception, and most top products do their best to get things on-card for the most part, alright behind Tetease, I think Patch Auto you'll definitely see more stickers though, 223 out of 249, Josh Lowe, they moved Austin Meadows to make room for this kid here, yeah generally Jersey Auto, Patch Autos, you'll see more stickers, but if it's auto like this, like non-patches, most of the time you're gonna see, see on-cards right there, Josh Lowe going to Joshua Wilson and the Rays, from one Josh to another, alright what's the Haps, Ian Hap, to 99 for the Coveys, and behind Josiah Gray is two-color patch autographed Jake Cousins, Kirk's brother, 15 out of nine, I don't think it's Kirk's brother, 15 out of 99, that's for the Brew Crew, Hans with the Brewers, two more to go, here's Jacob DeGrom and behind him is Logan Gilbert, 57 out of 75, Logan Gilbert who I think had a nice start today, I know the Mariners won, I think it was Logan Gilbert with the start, standby, let's feed the curiosity, yeah Logan Gilbert with the win, today he went five innings, zero earned runs, four walks, or four strikeout, zero walks, that's I like to see, 85 pitches, pretty good, alright that's for the Mariners, that's for Patrick Kay, and the final autograph, ladies and gentlemen good luck, alright we've got a rookie card, Matt Veerling to 150 for the Phillies, it's for Harry and his Phillies, it's Fightin' Fills, there's the rest and the last hit behind Brian Reynolds, the autograph is gonna be Griffin Jacks, Minnesota twins 110 out of 125, that's Ron with the twins, Ron on the board with the very last hit and there you go ladies, gentlemen wax party time, nice break here, big thanks everybody who got in, let's flip back to the list, let's gather everybody's names from Brody down to Justin and everyone in between, new dice, new list, let's roll it and randomize it, one and a four, five times, name on top after five, you're in the wax party, a lot of great stuff we're giving away, so check out the details on Jasper's casebreaks.com, five times, one, two, three, four, and fifth and final time, after five, big drum roll, name on top, it's gonna be, it's not gonna be Hans, very close Hans, no cigar, but thanks for giving that a go, I appreciate it, thanks to everybody from two down to 30, not easy to win wax party spots but there are a lot of opportunities so keep trying ladies and gentlemen and hopefully we can get you in, but ultimately after five, name on top is Michael, Michael D, I don't think I called your number the entire break Michael but you got a wax party spot, could be some great things going your way, so our first wax party spot giveaway of the day, that was 2022, inception MLB, pick your team number 13, thanks for watching everybody, I'm Joe for Jasper'scasebreaks.com and I will see you next time for the next wax party break, bye-bye.


So today let's talk about how to mentally prepare for a volleyball game. So as long as I've been playing I have to say game time routines are so important and one of the things that I love to do during game time routines is noise cancellation headphones. Thank you OneMe for sending me these Onkbit E600 headphones and their noise canceling. The one thing that I love about noise cancellation is that it noise cancels. It takes out all the excess noise so that way I can really focus on exactly what I need to be doing and get ready for game time. One thing that I've talked about over the years is listening to music. I enjoy having a playlist or routine that I can use when I'm getting ready to play a game. I listen to music in the car. I listen to music before I play and what better way to do it than with these awesome awesome headphones. The one thing that I love is that it came with a ton of colors. I got these black ones because I really want it to be sleek in design and something that I could wear with all of my volleyball clothes. Now if you're getting ready for a volleyball game don't fret. If you really don't like listening to music that's okay. With noise cancellation headphones it takes out all of the noise around you. Maybe you need a few moments of quiet to yourself. Maybe you need to use some positive affirmations. What better way than to do it with these. Now when it comes time to getting ready for a volleyball game I know that it can be stressful. I've played in a lot of volleyball games in my life and there's times I've been stressed. One thing that I really really really really love doing is listening to music. I know that some of you guys like listening to music before you play but it's something that really gets me into the mood. I really just honestly set a playlist and that's the playlist I use before I practice. I'm sure that a lot of you guys have had playlists like you know during warm-ups and stuff like that and maybe it's not music you really listen to a lot but I think that it is a great investment to get some headphones that you really really enjoy. Part of that routine is finding something that really works for you. I've had players who kind of you know bounce a ball off to the side for themselves. Some players like to you know kind of listen to music quietly in the corner. You have to find something that works for you. I truly believe that the routines that you set initially when you start playing really help carry you through the game. If you don't get ready before a game how are you even going to be prepared? It's really difficult for you to just walk on the court and just show up and you just get ready to play. I mean some people like to you know when they're in the car with their parents or whatnot they listen to certain music or when they get to the gym they like to warm up a certain way. You have to find those routines that work the best for you and once you find a routine try it out. Like for instance when I was in high school I really really enjoyed getting ready to warm up with the team. One thing I had to really learn for myself is positive affirmations. Those are those positive things that you tell yourself when you're in a game so that way it's not something that's you know if you tell yourself good things then you really start to believe it.  You really want to take time to tell yourself those positive things that way you can be your biggest fan. There's many instances where I've really had to coach myself on the sideline and say Coco you gotta get it together girl you gotta you gotta you can do this but you have to be your biggest fan. Positive affirmations can start by saying things to yourself in the mirror saying things to yourself right before the game saying things to yourself on serve I do that a lot I'm gonna serve and I literally will go okay I can do this. Finding that routine is helpful I have a specific routine that I do now I like to show up early I like to sit down and really watch what's happening I like to observe other players warming up especially if I'm playing in a tournament you know I want to make sure that I'm wholly prepared. Even part of my routine is wearing certain volleyball shoes I picked my things out the night before getting into a routine that's comfortable and helps you feel confident will help your confidence in the long run. We tend as humans tend to get stressed when we're in situations that we are unsure about if you show up late and then your coach is like just get out here of course you're not going to be ready you don't have a chance to really get ready so make sure you're doing what you need to do and you know really finding a way for you to adapt. I know that sometimes we just need to hear these positive things for us to really change our mindset but we have to come from a place of a growth mindset that means I can't do it yet not I can't never do it well I hope that you like this video please like comment and subscribe and I will see you guys next time