More than 80% of Japanese gods are originally Indian gods. This should be recognized by Japanese people. The bottom of Japanese culture, Indian culture is very strongly imprinted. When the Japanese studied Sanskrit in the 8th and 9th centuries, Sanskrit was synonymous with the Siddham script. This was used for writing Sanskrit since the 5th century in India. In Japan, they also used the Indian letters for writing of sacred syllables or Bidaksharas, which have the power of mantras. One of the most revered deities of Japan is Saraswati. There are scores of shrines built to her. Worship of Lakshmi was done to ensure the peace of the land, wind and rain in good season, good harvests, joy of the people, and the good of all sentient beings. A shrine was dedicated to Varuna in the Fudodo Sanctuary in Tokyo in 1836. The temple also has a representation of Kamadeva. He is worshipped by many young couples. There are many temples dedicated to Yama in Japan.


What's going on everyone? Sam here with late in sports cards ripping 22 23 penini spectra and mosaic basketball hobby 4 box mixture number 7 Random team style. There's a look again at your random results as always you can find those on the website under the results tab As well as the link in chat Good luck. Here we go. We'll start with mosaic and we'll go in a spectra after all right here. We go that is Jeremy Sohan rookie Hari Eason Gordon Hayward red Cade Steph and a purple jade up to 99 stair masters or breakaway excuse me break away to at 99 There's a Caleb Houston and ooh nice to 49 for the Thunder Sean Kemp by way of the Super sonics Congrats on that silver Bobby Portis purple Kyrie to 99 for the maps Anthony Edwards and a Damian Lillard breakaway.  That's Christian Brown pink to 149. Taylor and Horton Tucker for the jazz Stair masters Kawhi and Benedict Matheran introductions mosaic for the Pacers Walker Kessler rookie Jaden Hardin Jaden Hardy rookie Jalen Brunson got a white Wendell Moore junior nice rookie for the Timberwolves 16 of 25 on the white. Oh, yeah, that's fine notoriety Keegan Murray Yeah, you can see whites and under It's probably what I can't imagine will be a ton of them. So Williams a Cameron Payne Tyler hero Keegan Murray and purple Trey young to 99 That's Christie Chris Paul mosaic red Deontay Murray a red. I would soon move Tatum and Jaden Ivy notoriety Chet rookie Silver Isaiah Mowley rookie blue Dante Devin Chenzo for the Warriors to 199 Stair masters jaw and mosaic Haliburton feeling green McCollum and straight fire Dodger Mitchell Again guys, here's your link to plates in the potches. Whoa, what just happened there? I want to hit print Here's your link again to plates and patches just 23 to go on the random team break of that Three to go box number two of mosaic full box time Marjan Bochamp redemption Jalen Williams pictographs mosaic blue nice one for the thunder. That's okay. See going to Thane Very nice silver Devante Graham blue Deer and Fox to 199 Stair masters of clay and Jabari Smith junior introductions mosaic rookie of Johnny Davis blue Alfred Shengun to 199 Jabari Smith introductions and Jalen Brunson break away Christian Brown shade on sharp rookie mosaic Christian wood Max Christie red Yolk itch and a purple the margarosa into 99 Darius Garland Jada McDaniels and Jalen Brunson Benedict Matherin Simone Fontecchio silver Jalen Suggs. There's a Brandon Clark purple to 99 for the Gris Step Curry and a another step curry mosaic that time. I think we did Donny. No, we didn't oh shy We got a upside down Dyson Daniel silver rookie though for the pelicans pink. Luca. It's a 149 36 a 149 grads maps Yanis and a Trey young Keegan Murray rookie mosaic triple J Brandon Clark Walker Kessler rookie and a Darius Garland Jalen Smith Nick Claxton J. Dubb notoriety and Palo break away Silver John Collins Kara Slivert and overdrive Devin Booker for the Suns Jalen How ya Duran Isaiah Mobley Drew holiday deer and Fox and how about a stained glass of Kevin Durant nice one there congrats Suns Going to Vaughn congrats Vaughn nice one there, buddy Let's power up that's it Spectra now two boxes of spectra There's Jabari Walker to 49 rookie for the Blazers Base is like Beasley and Nicola Yolkich and Then to 49 a because Zuba catalyst astral auto congrats on that clippers This one there clicks that is a celestial to 199 no 149 right. Yes 149 Devontae Graham That is a Johnny Davis rookie a buddy healed and going to Daniel M in the magic to 25 Palo Ben caro Aspiring pink rookie congrats buddy on the auto. It's nasty Daniel M with the magic one off Jersey number six of 25 as well Congrats Daniel nice one there, buddy. That is a Rudy go bear to 99 on the interstellar Norman Powell and John Marant nice one here for the Clippers bones Highland sky high signatures to 99 bones Highland got to 149 Malcolm Brogdon That is a Jalen Williams rookie Dorian Finney Smith and to 199 Jake Laravia on card RPA That is going to the Grizzlies congrats Memphis last box and break That is a Cameron Johnson menagerie Going to the Nets Kendall Carter, Jr. Devon Booker and To 99 RPA OSHA a Bajie going to the jazz congrats Utah Yeah, everybody 23 to go on plates and patches Nice that is going to be a universal die cut six of eight Marjan Bochamp rookie for the Bucks congrats on that nice one Milwaukee Benedict Matherin John Collins and going to the Nets deep space meta to 25 Patty Mills congrats Nets going to Bradley G There you go, buddy Multi-time finals winner Patty Mills It's a 149 Dylan Brooks for the Grizz got Nicola Vusevich Chris ops for Zingas. This one's kind of funny to 99 Richard Jefferson Going to the Nets congrats New Jersey slash Brooklyn Richard Jefferson sky high signatures and last pack of the break Got to 49 Tara Eason going to the Rockets a Chet Holmgren rookie a Kevin Herter and To 99 Jalen how you durin aspiring rookie auto congrats on that Detroit's Very nice. Thank you there Brian picking up a plates and patches spot. Appreciate you buddy down to 22 22 to go very nice. All right recap here everybody Kevin Durant stained glass white Wendell Moore, Jr. To 25. We had autos of Richard Jefferson Patty Mills OSHA a Bajie a Jake Laravia bones Highland the Vika Zubak Jalen Williams Sean Kemp The Kemp again was to 49. That's what the Jalen Williams. I believe will also be a 49 We had also the Jalen Durin and then how about a pink Paolo to 25 for the magic I'll do it for the break everybody. Thanks again for the fill up next is obsidian


As we move ever closer to the conference in Marrakesh where I believe that partnerships of all varieties must be a constant thread in our discussions, I think the gathering today could not be more timely or more better calibrated. Much of what I will have to say will echo very much the comments that were just made by the Director General stressing the crucial aspect of the Compact. So I would like to focus my comments is preparing to ensure that it is best place to fully support the implementation of the Global Compact for Migration. And I stress again that this will require a very strong and clear sense of partnership at two levels. First obviously partnership amongst the many parts of the United Nations which can bring to bear an extraordinarily large and deep capacity and expertise on the whole range of issues covered by the Compact. And secondly of course a broader partnership will also need to draw equally on the large variety of competences and expertise on these issues represented by the multi-stakeholders that have been so far very engaged in this process and many of whom are present here today. Next week the UN system will meet again here in Geneva to activate the UN Network on Migration. This network welcomed in the agreed text on the Global Compact last July was actually called for by the Secretary General in his January report entitled Making Migration Work for All. It represents the visible manifestation of our collective commitment to support the Compact's implementation in a coherent collaborative systemic fashion while bringing IOM squarely into the center of this UN endeavor. By now I think the network's contours are very well known but let me just refresh your memory in mapping out its general framework. First IOM will serve as the coordinator and secretariat of the network which will have several functions. It will draw fully from the technical expertise and experience of the relevant entities within the United Nations and it will ground its work in the UN Charter in international law and in the 2030 Agenda for Sustainable Development alongside obviously the framework of the Compact itself. It will fully align its work with existing coordination mechanisms and the repositioning of the UN development system which you know is at the heart of the Secretary General's reform agenda. It will be structured around a small core group of UN entities. It will also have an extended membership drawn from the UN system and a small number of working groups chaired by a UN entity with IOM as its secretariat and with external partners as may be desirable for the work of these working groups. It will also have as part of its structure a capacity building mechanism which is called for in the global compact itself and this you will remember comprises three parts a start-up fund a connection hub and a knowledge platform. It would be inappropriate to get too far ahead of the meeting next week except to say that I'm very confident that we're on track. Members of reference for the network are close to being finalized and likewise the initial composition of its core group and of its extended memberships I think hopefully are coming together in the meeting next week will lend further clarity on the question of how the network's working groups will be organized and setting some initial priorities. By the time we gather in Marrakesh the network will have a much clearer sense on how best it can move rapidly to help support the compacts implementation. I'd like to impress here upon you a number of features of the network's DNA. First it's agility we are determined that the network must at every stage place priority on supporting member states implementation of the compact. This rather than elaborating grounding legislation or intricate structures must be at the forefront of the planning. This means nothing engaging in work that is already being done well by others. It also means being ready to change tack as circumstances warrant and it means being responsive as appropriate to calls for support whether these calls come from member states, UN country teams or other partners. The network's working group should reflect exactly that agility. They should be task oriented and in my view whenever possible they should be time bound. Those working groups that achieve little should be stood down and those that deliver could be scaled up. Lessons must be learned from both and indeed in setting up the working groups, in how they run, in how they impact, their impact is measured. The network has perhaps its biggest opportunity to actually do things differently and I say that very much in the spirit again of the UN management and development system reform that the Secretary General has put forward. Second, the network must be greater than the sum of its parts. We should encourage a focus on those projects which require input from a wide range of UN entities. The network should not on the other hand supplant the mandate driven work of its members nor on the other hand should it seek to simply be a grouping of otherwise disconnected people. Rather it should seek to maximize impact grounded in a spirit of collaboration and commitment to collective success. Third, while focusing on results, actually on implementation, the network must also ensure an appropriate balance of its work. One of the strengths of the compact as it's been stressed many times is its comprehensive approach. In the very words of the compact as was stressed by the co-facilitators throughout this process, the compact possesses a 360 degrees vision. In saying that we need to be clear that the scope of the compact's objectives alongside its commitment to a comprehensive approach present both a challenge and an opportunity for the network. The challenge is how best to deliver uniformly on all fronts given obviously limited resources. The opportunity lies in the range of expertise on which the UN system can draw including and I stress with its external partners. Fourth, the network is fully aware that it does not operate in a vacuum. If we have learned anything from the process of putting together the compact it's the sheer number and range of actors who can contribute to this collective agenda. Formally, informally at all levels and in all different combinations engagement with partners will be frequent and intensive in two ways.  My fifth point should be self-evident namely that it is vital for the network's success that both its members and partners particularly member states do all they can to support it. During the recent the recent high-level week of the General Assembly Secretary General Guterres had this to say and I quote him I think there's a type of schizophrenic debate within the humanitarian and development community. Everybody asks for coordination, everybody asked for accountability, everybody asked for transparency and then we have this trend of each one going by itself those at the donor level and also those at the agency level. Let's not permit the same to be true for the migration community. I'm out of the quote now I'm speaking for myself. I think this network needs to be organic. There will be many opportunities for course corrections nothing should be set in stone. Right now its most pressing need is for it to come into being and to begin the work for which it is tasked. The network actually exists it is provided for in the compact but it now has to start doing its work and this will I think start on a very strong foot next week. But your support all of you in this room for this network to start working and to start doing things differently will be critical. And finally I think the network must approach its work with a combination of both humility and urgent ambition. Humility because the scale of the tasks ahead of us are pretty monumental and because overselling ourselves will not serve any good purpose. Humility too because of the very human dimension of migration. It's in fact very much its human dimension that has made it so difficult to tackle international migration for so long inside the UN system and yet it's also that human dimension that has brought us to where we are today. And for the same reason I think we must approach this task with urgent ambition. In some six months the United Nation membership was able to agree on a far-reaching framework to cooperate on one of the most pressing issues of our time. They you deserve nothing less than a system that does all it can to help realize the scale of that ambition. Thank you very much.


Happy Saturday guys.  I almost puked. It was like I just wanted to I Couldn't believe it. So and then I felt I finally fell asleep I think I slept for maybe an hour got up this around five because today is the full day Review class for the pre-licensing school in London Derry So I have to leave really early to do that all day And then we came to find out there was the most grossest dead skunk in the road And that's what it was and that's why it smelled like that my whole house smells Everything smells around me from skunk. I can't stand it So I'm kind of glad to be leaving today to go to work Even though it's Saturday and I've been working all week and I'm tired and I'm like, oh It's a beautiful sunny day and you know, I was really hoping for rain so that I wouldn't feel so bad Because it is the class starts at nine ends at five I'm gonna try to do I'm teaching most of the more first four hours is me Then we have a half hour break and then I do something and then for an hour and a half I'm not involved. I'm gonna run to the mall. Maybe I'm hoping to run to the mall But that's what I'm gonna do.  Oh You know what I wanted to tell you I've been doing I've been doing some more research and My sister had actually sent me an article on Victima post I know I'm pronouncing that wrong That is the main ingredient in the tea's care post and the blink eyelash serum that I've been using and I've often said You know, my hoods have dramatically lifted and if you've watched any of my earlier videos or earlier pictures You will see that the hoods I have very hooded eyes They've dramatically lifted and I'm like oh wow and then my sister sent me the article and it Happens to be where I thought it was my retinae It's actually my eyelash serum that I think is doing it Although I still have to look into a little bit more and and I'll probably do a video on it but that's kind of like It's kind of like the scoop So he did make it to the mall and I went into Macy's backstage They had been constructing this area for a while and this is the first time I went into it after it was open So they told me it was sort of like a TJ Maxx Marshall's concept and these are not items that are regularly in the Macy's store, but completely different items So I thought it was kind of fascinating It didn't end up buying anything in the backstage area, but it really didn't have a whole lot of time to explore So I think I'll have to do a trip back or make a trip back pretty soon actually starting to Try to think about what I'm going to oh, yeah, I'm getting ready to film a video too But I'm thinking about you know, what am I gonna pack for Nova Scotia? So, you know, this is sort of a rough-and-tumble trip for us It's not it's so it should be easier because it's not like I'm going on a business trip and you know vacation or a few extra days So I don't have to pack any business clothes.  We're actually gonna be gone nine days One duffel bag for clothes now. I did tell him that he Could use another bag for his toiletries if he wanted Not that he has a lot shaver shampoo deodorant toothpaste toothbrush I mean not toothpaste because we share that so he really doesn't have a whole lot of that stuff like me So but I so I kind of told him that so that he wouldn't get upset when I had a big bag With my skincare. I'm gonna put all my skincare my serums that I'm gonna take and then put them in like one of those lunch cooler bags because I like to keep my serums cool and We'll be doing a lot of driving in between where we're staying so I just want to be prepared for that So anyways, I don't even know today is Sunday guys and It is Father's Day and we're gonna be going to pick up I don't know if we're gonna pick them up or we're gonna meet him there That's still up in the air, but we're going to be taking my mom and dad out to a restaurant a seafood restaurant And some of the family members are going to join us my sister her husband one of her daughters I'm not too sure yet about my two sons. They may be down. They dad's house today So I'm waiting to hear back from them, but yeah, it's gonna be and I think it's gonna be a fun day And then tomorrow if everything goes well after work, we're gonna go and watch the sandcastles We're gonna go and see the sandcastles That's what I should have said because they the judging is this weekend So they definitely complete today today's the judging beach will be crazy crazy So we're not gonna go there today, but but we'll go hopefully tomorrow afternoon tomorrow after work And if not, we'll go Tuesday or Wednesday. Well, not Wednesday jake offs. So that's the father's day, baby Thank you very much. Happy Father's Day to all the fathers out there. Yeah, and it was nice. You got a phone call from Justin Oh, yeah, that was nice Yeah, he also sent me a gift, which I wasn't even expecting That's unusual Yeah, nothing you weren't expecting it, but that he sent stuff He must be growing up I think so. I just got camera, so it's just the one that took up to me Oh, but you know what it is? Yeah We'll have to wait, huh? Yeah Well, okay, we're off to meet some of the family for Father's Day at Bigside Yeah, that should be fun Beautiful out there It is gorgeous 82 degrees right now, roughly We might have to really have ice cream afterwards Well, of course That's an O'Brien Over the table Hi, Mom I like your sexy shades This bad? My baby My other baby Oh, to be young To be young Happy Monday, guys I hope you all had a fantastic Father's Day weekend Jay and I met with a good amount of the family, not all of them My oldest son went down to his dad's on Sunday My youngest son had gone to his dad's on Saturday So he was able to spend it with us, with his wife and my granddaughter And we all met at Lakeside, a little restaurant in Kingston And we just kind of sat around for about an hour You know, just talking and having fun and eating And then after that we went to memory's ice cream stand And I'm going to insert some clips here And you probably already saw some too But we went to memory's ice cream stand And we were there for a good hour and a half We just had a great, great time It was really awesome So today Jay and I, Jay's already left He's gone to Portsmouth He's working out of the Portsmouth office And I am going to Exeter I'm heading out the door now We had planned to meet up later in the day after work And head to the beach The sand castles were all last week, they built them I showed you some clips in my previous vlog of them being built And then over the weekend was the judging And Saturday was the finale But they're still up They'll be up and lit up at night Until probably 4th of July So I always like to go see them after they're complete And not during the weekend, if possible Because of the traffic So we were going to go tonight We were conducting thunderstorms And you know, it's going to be in the 90s And with thunderstorms So I really don't know I have no clue if we're going to make it to the beach tonight But if we do, I'll definitely share it with you guys So I'm heading out the door full day And hopefully we'll make it to the beach But if we don't tonight, I'll get there later in the week And share those sand castles with you They're really an amazing piece of art An amazing piece of art It always blows my mind when I see What these folks create out of slabs of sand It just does So that's my day Hope you had a good one I should say, hope you had a good weekend So it is actually Tuesday June 20th It's a sad day We... yesterday the 19th We just had this awful storm come through And the storm came through Jay and I were actually out on an appointment Getting a listing And getting all the paperwork And taking photos and all that stuff And this storm kicked up It was like unbelievable We knew there'd be weather issues But we didn't expect it to be as bad as it was And it knocked trees down Knocked power down We were without power from I think about six o'clock to about 4.30 All overnight But the worst...  Yeah, so it's gonna be kind of... I don't know Kind of a sad day I'm gonna try I'm heading to Exeter And I'm going to try To hit the sand castles on my way home I'm gonna... it's gonna be up in the air I'm debating that Because I'd like to do it with Jay But I'm also worried about the fact that You know, he's been really busy with real estate And with training You know, doing the pre-licensing school That we might not get there And I'm worried about the weather Especially after the storm last night Who knows what condition they're gonna be in So I'd like to get a couple of clips of them While they might still be in... I don't know Decent condition maybe We'll see Happy Thursday guys Today is actually the official first day of summer And that is like... Exciting I just hope we really do continue to have Summer like weather Because Our winter is really tough And our spring was not much better As most of you know So yesterday was Super, super exciting After work I went up to the beach And I had been talking to one of my Loyal And I have so many loyal subscribers But I was... I've been talking to this one lady Donna For quite a while And we've been trying to meet up Because she actually lives in New Hampshire So yesterday we finally met up And it was so funny Because She recognized me So I didn't have the best camera with me But here's a little bit of a clip Of us meeting It's a real camera Yeah So hey, look who I found at the beach Hi everybody My favorite YouTuber Sorry That's okay I think it's funny though You know she recognized me though right away So I thought that was really funny Yeah Yeah, of course So we're here at Hampton Beach And we are going to do the sand castle Yeah And who knows what else But I'm not getting an ice cream You might No, no ice cream None of us are gonna get ice cream No No husbands to corrupt us That's right They can have the ice cream They can watch Absolutely See you later Bye Bye I just thought it was really, really awesome We ended up spending I think at least an hour and a half Maybe even longer Because I paid for a two hour parking And I think she came I don't know It was probably a good hour and a half Anyways, we walked And looked at the sand castles And we walked up and down the beach And then we just sat on a bench And chatted Like we were the best of friends Like we'd known each other all our lives And we just kind of chatted About a little bit of everything Family, life, hobbies, weddings All sorts of stuff So it was just really awesome To meet Donna And to just sit and, you know And engage It was so much fun And then I took some video clips Of the sand castles I'm not too happy how my video clips came out So I'm inserting some here Of the clips so that you can see We do the sand castles every year I really, really like it And in my last vlog I kind of showed you what they sort of looked like But this was the 18th annual And we have people from all over the country And Canada A lot of our top winners are Canadians Who come in and create Some of these amazing works of art So hopefully you can see from these clips That I have showing And a few still pictures That I'm showing you How really amazing it is And to think that They created out of just piles of sand Is just pretty awesome So that was the highlight of my week I don't know if Jay and I Are going to get back there For any kind of evening Because they're lit up Until 4th of July for the evening And then of course As nature happens Storms and stuff like that They kind of fall apart But it's so beautiful at night If we do I'll definitely film it It might be in another vlog I'm not too sure Whether I'm going to end this one At this point Or trying to think Do I have anything else exciting coming up?


Ahoy, ahoy. Earlier this year, I was at last year. God, this has been a terrible year. So I can't remember if it was this year or at the end of last year. But regardless, there's been a legal case ongoing in Russia based on the SCP Wiki's trademark. I did a whole video on all of the details of the legal case back then. But the GoFundMe managed to make like $164,000. I think it's still open, actually. You know, I can check. I've got this page open right now. It is still open right now, actually. But it looks like the last donation was four months ago. So kind of slowed down a little bit. Anyway, it made $164,095 out of a $50,000 goal to basically bring a legal case against Andre Duxen for the purposes of fixing this thing. There was a long story short. He trademarked the SCP logo and then started using that to essentially intimidate other people into paying him money whenever they wanted to sell SCP merchandise inside Russia. So the SCP Foundation decided to, as I said, form a legal case on October 18th, which was a little while ago, but I was on break at the time. On October 18, there was an update on the GoFundMe page. Great news, everyone. The Russian Federal Anti-Monopoly Service has ruled that Duxen has violated Article 14.8 of the Russian federal law on business competition. And he has until November 10th to rectify his violation or face penalties. Due to Russian privacy law, we the plaintiffs don't know exactly what violation he committed and will not know until it is made public on November 10th. It is our hope that he was ordered to dissolve the trademark as that was our main request to the committee. But it is too early to fully celebrate, since it's possible, that they sided in with a different violation at this time. Regardless, this is a huge step forward in the case, and we owe everyone who contributed and shared our fundraiser a huge debt of thanks for making this possible. Thank you all so very much. So, okay. I actually bothered to look up Russian federal law on business competition and to find exactly what Article 14.8 is, unfortunately. So, Chapter 2.1, it's in Chapter 2.1 under unfair competition. And the articles in this chapter are all about, well, unfair competition, doing something to make business competition unfair, for lack of a better way to put it. And I've looked through it in 14.1, Chapter 2, let's scroll down to 14.8. The interesting part is 14.8 is a catch-all. It's Article 14.8 prohibition of other forms of unfair competition. Other forms of unfair competition, along with those specified in Articles 14.1 to 14.7 of the federal law of, of the federal law on protection of competition are prohibited. This is, yeah, this is, as I said, it's a catch-all in case it was, first of all, it's a catch-all in case it was unclear. Legalese is complicated and not something I want to get into, because I'm not a lawyer. But in this case, it's like in case we messed up anywhere above, or if we left something out that seems clearly like it's unfair competition, that's also prohibited. Because everything above it is literally an itemized like exacting, you cannot do this, you cannot do that, you cannot do this. Problem is, there are, let me just look here, so Article 14.6, if he had violated Article 14.6, that is unfair competition related to confusion. So unfair competition through actions or omissions by an economic entity that meant, I know this is great stuff, but this is the SCP Foundation's like, this, it's funny when it comes down to it that this legal stuff is important to what's going on at the SCP Foundation. And me, a non-lawyer has to do his best to interpret it, what exactly they're trying to talk about. Yeah, if he'd been found in violation of 14.6, it's unfair competition through actions or omissions by an economic entity that may cause confusion with operation of a competitor, or the goods or services put into civil circulation in the Russian Federation by the competitor is prohibited, including unlawful use of notations identical with a trademark. I think this is sort of the opposite of what he did. This is the other side of what he did. So maybe that wouldn't technically count. Unlawful use of notations identical with a trademark brand name, commercial designation, so on, so that's the whole bunch of stuff. But that's the opposite of what he did. So he, which it sounds like it's what he did, but he would actually be trying to enforce 14.6 on other people instead of the other way around because he technically owns the trademark. Or at least he properly, yeah, not that one, not that one. Inappropriate comparison, no. Unfair, by millions of misleading, yeah, that one could have been in there. But the interesting part is that like because of the way Russian federal law and privacy law works, they don't, if you, so for example, he violated article 14.2, they don't have to say that he are, that would be very specific about what he has violated. They don't actually have to say that because 14.8 is a catchall. So if they say you violated 14.8, which is other forms of unfair competition, along with those specified in articles 14.1 through 14.7, then if he violated, say 14.2, they could say he violated 14.8 without specifying and allow for the privacy of the defendant in this particular case, which is an interesting way to handle it. And maybe they're standard, I don't know. I don't want to get too far into the weeds on this. This isn't going to be a particularly long video. I just wanted to give you guys the proper update. The SCP foundation has been working pretty hard on this for a little while now. And though I may have differences of opinion with the administration, this is incredibly important to make sure that the SCP foundation stays first of all creative commons and second of all, as creative commons free and give people the ability to continue to work on it, not just to work on it, but to work on, you know, merchandise or videos or video games or movies, short films, the stuff that everybody wants to see more of, which we probably won't see a lot of films, but that is how it is. Anyway, thank you very much for watching. If you enjoyed this video, please scroll down and hit the subscribe button, and then hit the notification bell next to that so you're notified when I upload new videos. And I did it again. Hold on, let's go over to the Patreon page. I did this last video. I'm like, I can remember everything, but I just woke up, which you can probably tell just like last time around. I can go to the Patreon page, order it. Come on, load already. You know you want to. And join Dr. Jay Redacted and Syngeriki, who have both pledged $100 and Morgan, who's pledged at $40. It's nice to know that I'm not alone out here. And I will see you all again on Thursday.


Roll it, baby Fridge, I can see it. He's about probably about 30 seconds. Hey, man three in the top six World mountain running championships long course today. Let's get a USA. Here we go All right, we're gonna do our best to get around the course. Come on job Jim. Great job. You got this buddy Okay, we've got Spain Great Britain All right, David nice and relaxed nice and relaxed Just right there, buddy Great job, man Awesome awesome There you go. Nice to relax buddy. You go buddy. There you go. Nice. There you go, buddy. All right Nice to relax David. Nice to relax Yeah, he's in first You're doing great. How's the Italian guy? He's about 30 seconds back Francesco, he's chugging a little bit He looked okay He looked okay You've got you're doing great Just nice and relaxed There you go There you go. You guys are so fast in the descent. Yeah, okay. You're it's early. It's early There you go.  Nice and relaxed. Nice and relaxed. You got this nice and relaxed. There you go Just nice and chill Doing great Mario Great job. Great job Pump those arms. Pump those arms. There you go, buddy Looking good. Looking good Whole team's looking great Awesome work, Jim. Awesome work. Keep going Jim. He's about 30 seconds back from Jim Not much There you go. Nice and relaxed. He's about 30 seconds back They both look strong But I tell you what you guys look real strong There you go. There you go guys.   Here we are going up a ski lift in Argentina That was amazing. What you just saw were clips from 26k out of 42k So they're they're well over halfway now and first place Jim Second or sorry third and fourth Hayden and David. Wow, we are doing really well as a team This is incredible Onward and upward to the top and at the top of this mountain is 32k So then from there it's 10k to go down to the finish. Oh man rocking baby. We're rocking today I can see him. He's about probably about 30 seconds Hey, man, three in the top six Three in the top six. So there's Jim in first this uh downhill is insane right here, but Second place Francesco, I would say he's comedy. I don't know 30 seconds about 30 seconds For him 30 seconds back We're good Jim's in first Jim's in first Francesco's about 30 seconds back See anybody you're looking good buddy. You're looking good. There you go. There you go All right, so we've got one and five through Jim and Hayden here comes David But Spain also here's Spain's three right there Yeah All right, David All right, David David dig baby. There you go. David. There you go. Nice and relax. Nice and relax. You're doing great You're doing great, buddy. You got this. Just hold that position. Hold that position great job David Seeking beauty on the way down. Okay. What you just saw was 32k 10k to go I'm just trying to process what I watched it's sometimes hard to count and film at the same time, but we're going USA Italy Spain Great Britain USA two more spains and David So that's one five and eight for USA. So if I'm doing the math right, that's 14 points and for spain They were three six and seven So that's 16 points. Oh my goodness. So we got we're two points up on spain with 10k to go I believe so 14 if I'm doing again, it happened all so fast. Don't quite quote me. This is I Here's the deal though. I don't think I'm going to make it to the finish line. Uh, this chairlift is not exactly moving quickly. That's okay Uh, uh, but uh I love it. Listen. I love racing, but I also love cheering and spectating as you can probably tell. Let's go USA Now I'm hitchhiking back into town to see if I can catch the finish. Ah Yeah, yeah, yeah. Oh, thank you Thank you. Thank you. Gracias Uh He makes it. Yeah, that's awesome. Nice. Oh, that looks tasty Our bus driver gave uh the champion gym some jam. Good. Good. Ah, good job That's right next year. We'll be back. We must try it back. Yeah Leo was on the thumbnail in yesterday's vlog going through the river. That's right That's epic. So all right, here you go. There you go. Oh sweet. All right, let's hold out Some awesome I'm gonna I'm gonna train in here. What's that to me? I'll do this. I'll do this. I'll wear this for 14. All right Sweet. Good to meet you, Leo. That's awesome. Awesome. There it is. There it is. Oh my goodness I know the vlog is going really long, but it was an epic day Just an epic day. So we're closing it out here. We're gonna go inside eat dinner But at the end of the day, it's all about the people we meet here on this earth and how we take care of them How we love them, right? That's what I'm always saying here on this channel And it's like shout out to Slovenia and Monaco for giving me some gear And uh, I just love how we battle in these races like jockeying for position. Um, you know, just like Work it hard and like pushing each other to our limits But then we can come together. Uh, we're gonna have a party later tonight And I just love like that spirit of competition that was alive and well here in Argentina. And so question of the day Um Who is a runner out there who you have met who you feel like like it could be any runner whether an old teammate Maybe a coach who was a former runner Whatever the case may be a parent or a family member a runner out there who has really Reached out and taking care of you in your journey In the running world because I feel like as runners we battle But we also look out for each other. Anyway, that's what I'm taking away from the world Mountain running championships here in Argentina. Absolutely epic. Absolutely epic. Okay, let's go go to eat dinner And uh, I'm gonna toss it back to the other vlogs from here in Argentina. Actually, you know what on the right We're gonna go from uh yesterday's race, but on the left We're gonna throw it back to the race in New Hampshire where I qualified for the world mountain running championships All right, you guys rock. Thanks for being here. Seek beauty work hard and love each other. See you tomorrow


It's a good day to draw near to the Lord, to ready our hearts. And you know, oftentimes when we wake up in the morning, and we have the intentions of seeking out to the Lord and prioritizing His presence and His word, oftentimes the enemy will try to set a trap of getting us caught up in anxiety before we can step into praise. But Jesus had these words that I think are really encouraging to us this morning as we approach the throne of grace about anxiety. And He said in Matthew chapter 6, therefore I tell you, do not be anxious about your life, what you will eat or what you will drink, nor about your body or what you will put on. Is not life more than food and the body more than clothing? Look at the birds of the air. They neither sow nor reap, nor gather into barns, and yet your Heavenly Father feeds them. Are you not of more value than they? And which of you by being anxious can add a single hour to the span of his life? I think it's important for us to understand as we wake up, there's all kinds of things for us waiting throughout the day that if we'll allow them, we'll dominate our thoughts and our attention and stir anxiety in our hearts. But instead, we can find rest in the reality that God's eye is on us just like His eye is on the sparrow and you are worth more than all of these birds, all of these birds that are in the nest, all of these things that are taking place. God's able to sustain them, He's able to sustain you, and you can exchange your anxiety for His peace. You can exchange all of your worry and all of your stress for the knowledge that your Father cares for you. His eye is on you, He loves you, and you're worth more than all of those things. And He's going to take care of you and He's going to sustain you. So today, we can just drop all the chains and all the bonds of anxiety and cares of this world, and we can draw near and give our full attention and our full worship and expression to Him and know that in return, He's going to draw near to us. And He's going to give us everything that we have need of this morning. So today, let's just physically and literally and emotionally just exchange our anxieties. The Bible says, cast your cares upon the Lord because He cares for you. So today, Lord, we just exchange everything that wants to take the attention of our emotions and our affections and the things that want to dominate our thoughts and our hearts. And we say, not yet and not now. And not now. It's time to draw near to the Lord. It's time to worship the Lord. It's time to find my rest and my peace and my provision and my confidence in the presence of the Lord. Jesus, you are good. You're trustworthy. You're worthy. And so we draw near to you with hearts overflowing with a good, a good theme. Our hearts overflowing with a blessing to leverage upon you and we say we love you, Jesus. We trust you, Father. We know that you're good. We know that you're near. And our first ministry and our first priority is to bless your heart. And we know that when we do that, Lord, you are going to take care of everything else that we have need of today. Let's just take the next few moments and let's just pour out our love upon the heart of the Father and love on Him. Where we should have, and His blood has made. And Book of Hebrews says that it's the blood of Jesus that has made a new and a living way for us to approach the Lord. We're not approaching you, Father, any longer. We're not approaching you with our good works, saying, here's why we deserve to stand in your presence and not perish. We don't approach you by our own sacrifice. There's no price that we could have paid. We come by the blood of the Lamb. The spotless blood of the Lamb that the Bible says speaks better things than the blood of bulls and goats. Speaks better things than even the blood of Abel. Speaks holiness. It says you are clean. It says you have access. It says that you were dead, but now you are alive.  You are the only worthy one, and today we stand in your presence with no fear and no trepidation of judgment. But we stand in your presence, and we say that it's by the blood of the Lamb and the word of our testimony that we overcome today. So today, Lord, we stand as overcomers in your presence. We stand as sons and daughters of the living God, not because of our merit, but because of your blood, Jesus, that has raised us up.  Your blood that has washed us clean from all of our sin. Your blood that is cleansing our thoughts and renewing our minds and changing our lives. And the word of our testimony. Our testimony says because of Jesus. Not because of our own merit or our own strength, but we point to the cross. When the accuser and the slanderer comes and says, you're not worthy to call upon the name of the Lord. You should be further along today than you are. You should know more than you know today. You messed up yesterday. We say 39 stripes Jesus bore on his back. Say something different. The 39 stripes that Jesus bore on his back says, I am healed. The blood that poured from Emmanuel's veins say, I am cleansed. The bruises he bore on his body say that my peace is secure and I am free. I am an overcoming. Blood of the Lamb and the word of our testimony. Silence is the voice of every accuser, every demonic accusation, all of hell's accusations. We are free. We have overcome. And Jesus, it's because you're worthy. Worthy is the Lamb. Come on, let's just say that. Say it out loud over your life. Just say worthy is the Lamb. Is the Lamb. To receive glory and honor and power and majesty and might and dominion forever and ever. Worthy is the Lamb. Worthy is the Lamb.   We stand before you, not as criminals charged, but as priests to minister before you, to worship and to pray and to intercede and petition. You, Lord, you've given us that open door. You've invited us to come and to intercede and to stand in the gap and to be watched from on the wall. So, Lord, here we stand, washed in the blood of the Lamb and the authority of the Son of God. And, Lord, we're praying specifically out of Isaiah 55 this morning. Isaiah 55 is an invitation from the Lord. It's an invitation from the one that we've just been worshiping and he says, Come, everyone who thirsts. Come to the waters. And he who has no money, come and buy and eat. Come by wine and milk without money and without price. Why do you spend your money for that which is not bread and your labor for that which does not satisfy? Listen diligently to me and eat what is good and delight yourselves in the rich food. Incline your ear and come to me. Hear that your soul may live. Lord, today we hear the invitation to come to you. Lord, you're not indifferent to us. You're not so far removed that you could care less whether we come or don't come. But, Lord, you want us to come.   You're compelling us that in our hunger and in our thirst to seek after you. Lord, today I'm asking that you would stir in the body of Christ today. A fresh hunger and a fresh thirst to come that we would not be like those who've already eaten a meal and come to a feast and say, ah, I'm not hungry anymore. Lord, we can't feast at the table of the world and expect that we're going to have hunger and thirst for the table of the Lord. God, I'm asking that you would stir once again in us a renewed hunger and a thirst so that we can respond to your invitation and come ravenously to the table that you've prepared for us even in the presence of our enemies. Come, everyone, who thirsts. Lord, would you stir thirst in us? Hunger, we can go weeks, but thirst, we can't go days. We want the acceleration of hunger and thirst where we're, like David said, like I dwell in a dry and a weary land where there is no water in my heart. It thirsts for you, God. Lord, we want our heart to thirst again for you. Awaken thirst within us for your presence and for your word. Lord, we want to hunger and thirst for you. We say we want the waters that you have for us. We want the waters that you are for us, Jesus. You said, I am the living water. You invited the Samaritan woman to drink from that water. You said they'd never thirst again, Lord.  And we want to drink from those springs of your presence, the living water of your word. Lord, we become dry and we become dehydrated because we've been drinking waters from the fountains and the cisterns of this world, the cisterns of our own making, our own insecurities, our own fears, our own desires. And Lord, those things never satisfy. Living to please man, living to fit in. Lord, those things never satisfy. We've been searching for wisdom down the aisle of barns and nobles, but that will never satisfy. We've been feasting at the table of Netflix, but that does not satisfy. Jesus, you and you alone are the richest up there. You and you alone are the pools and the springs of living water that our soul was meant to feast upon. We will never be satisfied. We will never be filled until we're drinking from the springs that our heart was made to drink from. But Lord, you don't hide it from us. You say, come, invite us to come. Lord, give us both the will and the hunger and thirst to come after you in the places where our heart and our mind and our will have been resistant to you. Lord, would you once again give us soft hearts and remind us of remind us of the times where we drank from those waters where it's satisfied us and Lord to return from the times where we've tasted and seen that the Lord is good and that you're faithful. Remind us of the testimonies of the Lord so that hunger is once again renewed in us. Lord, I'm praying that in your church, radio church in the city of the Lord, the body of Christ at large across this nation, that Lord, in the midst of feasting on junk food, you would remind your body, remind your church and your people of the goodness and the richness of the feast that you set before us. And Lord, let there be a returning to the Lord. Your word says, let us return to the Lord and He will heal us. Let us return to the Lord and He will restore us for for us. Turn our hearts to be for you again, invite us. You say, even if you have, Lord, we say we have no strength and we have no ability in and of ourselves. We can, but you say, even if you're without strength, if you have nothing to offer, try a thousand times. We hear the voice of the Father saying, come and drink freely.  Lord, you're so gracious. You said, blessed are the poor in spirit. Blessed are the poor in spirit. Blessed are those who hunger and thirst after righteousness. You said, for then we'll be filled. Lord, you're so gracious. You're so faithful to us and we've tried. Lord, we confess that we've eaten at the table of even the enemy. We've eaten at the table of luxury, of self-aggrandization, of selfish ambition. And Lord, we confess those things have not satisfied our own wisdom and intellect, judgments. God, we feasted on that and it hasn't satisfied. It's left us empty. It's left us wanting. But even in the midst of that, Lord, you said, come. You can come any time. Lord, today would you give us hearts that recognize the only thing that satisfies is you and your voice and your word in our lives. We're praying just like you said in Isaiah 55, Lord, that we want to incline our ear to you and to come to you. Lord, we want to have ears that hear your voice so that our soul may live. We want our soul to come alive.   You said in John 15 to your disciples, you're already clean because of the words that have spoken over you. You said in your word, Lord, that your word is like a sword that divides between soul and spirit. Lord, would you come today and let your voice and let your word divide between the soul part of us, our mind, will and emotions that oftentimes overrules our spirit. We want our spirit, the part of us that is the Holy of Holies, where you dwell to come alive. That part of us says, I hunger and I thirst for you. Let that part dominate as we hear your voice. Lord, today we incline our ear to you. We say, Lord, the voice of a stranger, the voice of another we will not listen to. But just like a shepherd walks into the middle of a field and speaks in his sheep, run to him. Lord, we want our ears tuned into the frequency of our Father so that when you speak, we're quick to move.  Lord, forgive us for the times where we've listened to other voices. Forgive us for the times where we've stopped our ears. We've hurt no one but our own soul. But today, Lord, just as it says in Hebrews, it says, today, if you hear his voice, do not heart your heart as in the day of rebellion. Lord, today we choose we're not hardening our hearts anymore. We're not putting any veil up between us and you anymore. Lord, we're coming back. We're coming back to the table. We're drawing near to you and to your voice. And we're saying, speak, good shepherd. Speak, you're servant. He's listening. Lord, my heart, it hungers for your word, like never before. I want to know you. I want to know your voice. I want to know your direction. I don't want to be led by the winds of change and by the shifting sands of culture and by the opinions of the intellectual Lord. I want to be led by your spirit. I want to be directed by your word. I want my steps to be ordered by the Lord.  Right now, wherever you're at, I just want you to personalize that between you and the Lord. Just say, Lord, today I want my soul to be alive again. Speak, your servant is listening. Here's to hear your voice. Lord has been so faithful to David. You made an everlasting covenant with him because he had a heart towards you. Your steadfast love, your promises, never ending to David. But Lord, we want the heart of David. We want to see and experience your faithfulness, your steadfast love. Give us eyes to see your faithfulness to us. Give us a heart that's always after you. We're grateful that you're not a God who's arbitrary.  That you're not a God who makes a promise one week and the next week says you're disqualified. It's your steadfast love, father, that we depend on. It's your steadfast faithfulness, God, that never fails us, that draws us back time after time after time. Faithful. You're always faithful, God. Steadfast and true. Lord, you never fail us and you never leave us. We can depend on you. We build our life upon you. Like the rock that we build our house upon. But even when the winds and the storms and the tests and the trials and the difficult seasons and the hard things come our way, Lord, you are steadfast, dependable, faithful. Your covenant remains forever and ever and ever. And just as you made a promise to David, you made promises to us. All of your promises are yes and amen. And so we confess today, Jesus, you are faithful. Beautiful Savior, faithful one. Faithful to a thousand generations. Glorious, true and trustworthy. Come on, let's just finish this time of prayer by exalting his faithfulness. Worshiping the Lord. Come on, let's just lift up praise to him. Declare his faithfulness. Faithful and true. Come, Lord, for the invitation from your goodness, from your faithfulness, and to live our lives under the shadow of the most. Lord, we're so grateful. Thank you for saving us. Thank you for sustaining us and strengthening us. And Lord, I'm praying today that as we even step out of a prayer environment that we take prayer with us, ceaselessly living and practicing the presence of the Lord. From this place into every other place in space that we find ourselves. God, go before us. Be a shield about us. And be our rear guard. We'll put our trust in you, our faithful God. And thank you for joining us, those of you who are at home and also invite you today at noon tonight, 6.30 p.m. And also just let everyone know here in the room that we're about to shift into a divo set here. You're welcome to stay and to drink deeply from the presence of the Lord. But if you're not, if you're gonna leave, we're just asking that you please just honor the atmosphere and the presence of the Lord. And you can talk out in the hallways. And we're grateful for you being here today.


So for this project, project seven, the title, as you can see, there is learning random dynamic systems from data. So it's going to be two parts, first from Toruwani and then from Johnson and the supervisors where you know, and I think also as well, okay. So Toruwani, thank you very much. Please go ahead. Good day, everyone. I'm Toruwani and I'm working on project seven, learning random dynamic systems from data. So for advice by Professor Lam, I studied a class of maps from your man build maps and described by the relation given above here. And this is a sample plot of the map for when alpha is equal to two. This class of maps were first studied in 1980 in the paper by Formu and Manubil cited here. The main motivation for studying these maps are number one, the similarity between the dynamics of these maps and turbulent flow in fluid dynamic. And this is because this map show intermittent behavior and intermittent behavior in dynamical system is when I mean a dynamical system we have some points where the orbit seems to be well behaved. There seems to be no chaos and the orbit seems to move slowly but then at some other points in the system, the orbit of some other points in the system are chaotic and the system suddenly becomes chaotic and begins to exhibit sensitive dependence on initial conditions and other properties of chaotic systems. And this is similar to what we see in turbulent fluid flow where at some point the fluid and the flow is smooth and there seems to be nothing going on but at the point the flow becomes very turbulent and so understanding this kind of maps could give some insight into what are the techniques of turbulent fluid flow and the second motivation is that these maps are almost uniformly expanding. In fact they are uniformly expanding at every point because at almost every point except at zero. The derivative of these maps is greater than one at every other point except at zero where we have derivative one and although this seems like a little variation it brings about a large difference between how this class of maps are studied and how uniformly expanding maps are studied. To study this kind of maps usually the induced map is introduced and induced map is a map that is obtained from this map which has better understood behavior and from the properties of the induced map we can deduce the properties of these homeoman field maps. And now I move to discuss a bit about numerical approximation errors that I encountered when studying this kind of maps. Because of sensitive dependence on initial conditions and computer random error that is not possible to get exact point of the orbit for this map because by sensitive dependence on initial conditions I mean two points very close together end up having completely different orbits. So a small difference in computation or a small computational error or a small approximation error could lead to completely different results for the orbit. For example if we have a computer in a very good scenario that has an accuracy of up to 100 decimal places. So let's say we have a point x and we have and the computer gives an approximation of x plus delta where delta is 10 raised to power minus 100 that is a seemingly very small value. After n iterations we have that by the mean value theorem we have that the difference between these points become this value. If we assume that f prime of ci is 1.1 just a value a bit greater than 1 for each ci then we see that after n iterations we have this difference but after 2,416 iterations 1.1 raise to power 2,416 is greater than 10 raise to power 100 already. So for n greater than 2,416 we have a difference greater than 1 and this is a very large error already. So this makes it difficult to compute the orbit or to compute the trajectory of the system by using numerical simulation and this is another example. This is the first return map for the homeoman build map for alpha equals g. And by construction this should be a full branch map but because of computational error we don't have a full branch map. And by a full branch map I mean each branch should map to the entire interval 01. But to see that after some time we begin to get some errors and we don't have a full branch map. So these are some of the limitations of trying to compute the trajectory of this system using numerical methods. Then we ask how do we study this map then if we cannot compute the orbit. But the interesting thing is that despite sensitive dependence on initial conditions the statistics of this class of maps are very well behaved and we can study this using physical measures. And we measure mu is a physical measure if for almost every x not the proportion of points of the orbit of x not the line a converges to the measure of a. So the physical measure tells us the probability that the orbit falls in different subset of the ambient space so it gives us an understanding of the statistics of the system asymptotically after a long period of time. So if a physical measure exists then we have information about the orbit of almost every point of the system. And so we have the diploma man build map a physical measure yes it does. And a well known theorem that the formula man build map has a physical measure for how far between zero and one. So quickly go through the proof the proof is majorly done by constructing the first return map, which is defined here the first return matches full map is full branch and has bounded distortion and a full branch map with bounded distortion has a physical measure so the first return map has a physical measure. And if we have, if you are to the measure on the first return map, we can easily extend the measure to the original map the original formula man build map by this relation. And if you are to the physical measure mu is also a physical measure. So we have a physical measure on the original system also. Now this is some numerical experiment. Here I plotted an histogram by divining the interval 01 into 100 days and computing the orbit of two differently, two different randomly chosen. I actually computed your bit for more than two points but because of time I will show just to this is for 0.1 and this is for the point 0.4. And we see that they have, they seem to have similar distribution after this is about 200,000 iterations, and we see that they seem to have a similar distribution and we ask, and why do we get similar plots for the difference of it and also, are these plot plots accurate because like we said earlier this kind of mouse are difficult to study because are difficult to compute because of sensitive dependence on initial condition but we see that we have something similar so we ask the question can we rely on this result despite the numerical approximation errors that we are likely to encounter. Now I moved on briefly to talk about to discuss the results obtained by Stefan Ogallatolo and Isayani Soli in their paper. They actually use some rigorous computation and functional analytic methods to compute the density of the invariance measure and formula and billmarks up to a given error. And they found that yes it is possible to compute this density up to a given error and they use Eulam's method which involves discretizing the transfer operator and then computing the fixed points which will be the invariant density of the system and once we have the invariant density we have the measure because by Radon-Nickering's theorem, since new is an absolutely continuous measure, we can easily obtain the measure of any sets using this relation and we see that we have and this is the plot they obtained in your paper after the using their method, the rigorous computation of the density, this is the plot of the density. However, we see that this is similar to what was obtained by just relying on the computational result and plot in the histogram and we ask why is this reliable? Why is this correct? Because we know that there is a lot of computational errors and this brings us to this conclusion that PATOP's maps with perturbations of given small magnitude have an invariant density that is close to the invariant density for the own PATOP is wasn't found in the system and this is a result obtained by M. Tanzi et al. cited here and this is something that I hope to look forward to more to see exactly why this is so. Thank you. Thank you very much. So the next one would be a Johnson. Are you ready? It's for the same project, but they do two different things. Can you share? Yes, I'm doing it. Good. Can you see my screen? Yes, that's perfect. So please go ahead. Good afternoon, everybody. I looked at the same project as Tolu, learning random dynamic assistance from data, but I looked at this from a different perspective. We like to answer the question that given a partial observation of the system, can we actually determine the underlying dynamic assistance? Like you can see the time series on the left hand side. It's a partial observation of the given system on the right, but assuming that we don't know that the dynamical system on the right is that of the partial observation on the left, is there a way that we can just reconstruct this dynamical system or have some knowledge that this is the actual dynamical system does from partial observations. And then the thing about the dynamical properties of these trajectories, we'll be able to, for example, do a model in low dimensional space with noise, instead of doing modeling of the underlying dynamical system in dimensional space. And thereby we are saving cost of computation. So next I talk about the modeling of random dynamical systems. There are different ways by which random dynamical systems can be defined, either by using stochastic differential equations, or by adding the additive noise to some discrete time mapping. Like you can see in the first set of equation above. This is the Lorentz system. It's a discrete mapping, but by introducing some noise and some function that belongs to some probability distribution space, we can construct a random dynamical system. Now suppose that we have partial observation of a random dynamical system. And then we have a model that we can learn about the dynamics. Yes, we are sure by the taking embedding. It gives us the condition on which this reconstruction or reproduction of the underlying dynamical system can be constructed. This is the, we have access to some data or time series, why won't to why, up to why N. The taking embedding. If we choose some delay coordinates, that is twice as much, at least twice as much as the coordinate of the underlying dynamical system, and we choose our embedding coordinate and delay correctly. We will be able to do this and be able to find, for example, the function that connects, why N to why N minus tau, and so on and so forth. So, this by this way, we will be able to learn the dynamic system and be able to reproduce it. Dynamic taking some bedding from a geometric perspective. I have some time series in a some time series below, but it actually belongs to an n dimensional manifold, but I'm not aware of these that it belongs to an n dimensional So taking embedding tells me that I can construct a function this file that adds on some historic on some embedding of the time series and then reconstruct this dynamic system in an n dimensional manifold space, which is topological equivalent to the original system, which I don't know. So for experiment purpose, we have used neural network alongside taking some bedding. So after we have used taking some bedding to construct dynamic system, we want to use neural network to learn what the taking some bedding does, and then use the results of its learning to make predictions and the neural network actually learns the transfer function and to determine to determine the solution of the nonlinear system. We describe some nonlinear transfer function between nodes, and then we are taking as input, the partial observation at SK and output at partial observation at SK plus one and in between there are some hidden layers, specifically for the purpose of this work we have used three hidden layers with 10 nodes in each layer. So these are the results from this definition of a random Lorentz system. So I took a partial observation of the random Lorentz system. So what does partial observation means the random Lorentz system as x component, y component and z component. Because I have access to say the x component alone, and I want to be able to reproduce the entire system. Then I applied the taking embedding to the partial observation and figure B is the embedding and starting from 100 different initial conditions. We also did something similar and got the embedded trajectories, but for this to actually work to get the right embedding, we need to get the right embedding dimension and delay so this can be used using ideas of mutual information for nearest neighbors to determine what is the correct dimension and the correct delay, and then this will work. So after the taking embedding has learned or has reconstructed the underlying dynamic system, we now take the neural network, train the neural networks on the taking embedding reconstruction. So these are the results of the simulation of the predictions done. On the left, on the right down corner, you can see, just a moment. On the right down corner, you can see the prediction by the neural network in dashed lines and the prediction by the takings embedding in, in thick lines. So the results seems to converge. And so this tells us that we can actually learn the behavior of random dynamic assistance from data. And this add the evaluation results of the learning the loss function is of the other 10 raised to power of minus two, which is significant enough. And this is the time series comparison simulation one and simulation to add the component twice time series. Relation between the neural network and the random dynamic assistant. When we started this project, our goal was to know whether taking some bedding can actually learn random dynamic assistant and have an idea of the noise. And this we have implemented here at some of their references that I consulted while doing this work. Thank you very much. Thank you. Thank you. Thank you. For the presentation. I think we have. We have time to actually the minutes or so for questions so colleagues and students of course go ahead and you have any questions. I think I saw some, did I see some hands raised from maybe they were just a pool of pools. Anything but somebody shared please stop sharing the presentation. I have a question but I'm happy to wait for getting student questions first. I don't think there are any hands raised Mark so go ahead. Okay, so I think these problem of learning a random dynamic system is one of the most important problems because these random dynamic systems are used in so many disciplines to model real world data generating processes for example also in economics financial time series and stuff like that. So I wonder whether the results that you found are specific. For example that learning for more money will type maps is is is possible with fewer observations, or whether there are some, some random dynamic systems which are for example harder to learn. I imagine that it's, it's not a very general statement that one will find there so for example is logistic map type of maps are these harder to learn than other maps or something like this. For example, if you have a map which stays for a long time in a in a in a constrained part of the face space and then jumps to somewhere as I guess it's pretty hard to learn the correct dynamics here. So I hope to look into that, but I focus on for me or mine. Maybe I can say something if if I'm allowed if no one's the student. I think Mark you you're you're you're pretty much right and I'm very much onto this topic for that reason that I think is very important I think actually the students have tried to do something. It's not, it's not easy. So what people do learn if you have data people learn deterministic rules where so people try to learn deterministic dynamics based on observations and you have to hope that that's possible so that's the usual targets and betting. So people try to learn efforts properties of of stochastic processes that's also people do so they try to kind of somehow estimate average properties, but what's very little done or not done as far as I know is that actually anyone tries to find out what's going. And random dynamics so, and it's my perception that a lot of processes are very well modeled by random dynamical systems and not just on this kind of average procedure but actually basically on the trajectory base. And I don't know of anyone that actually really looks into this and I think going for the average is of course nice. But it's you lose a lot of information and I think someone meant much of the information is very important to understand actually what's really going on. And it's, it's a long term objective the project is basically maybe a little bit hard and the objective is a little bit impossible to try to explore what one can, what one could do in this direction somehow. But I think it's, it's really important because I think random dynamical systems are very important people don't study them very much in some sense, because people don't try to learn from data whether random dynamical systems are good models for such data and I think that as soon as we start doing that we will find out that a lot of processes that are of interest. I believe will be very well modeled by random dynamical systems, not just on the, you know, on a kind of basis of averages and statistics, but basically also on the base of trajectories, but people, but this is quite essential because there's a there's an account of a gap in in what people do. And I think that's why the study of random dynamical systems also somewhat under under under studied because people say well okay how you know then people start looking for the code of theory and average properties and stuff like that and people say well we don't need all this detail, because it's not in the model usually know. And with these average properties you mean something like mean square deviation of these properties a lot deviation theory vehicle for footballs other stuff this is of course very well known that you can kind of extract this, but these are only dimensions of dynamical properties this is not. There's lots of dynamical data that you cannot reconstruct from from academic theory in some sense. So I think people are a little bit, I would say lazy but they just got so used to the fact that you just look at these averages, and average properties that define detail which gets washed out by averaging. And it gets lost in the process somehow and I think that actually if you look at these details in on this detail level you will find lots of very interesting things. Now sometimes we don't have access to these details so it's not relevant, but say in saying life sciences or medical data you see people have very detailed times here so why would you average out all the fluctuations and to just get some kind of like average properties you just lose information. And it's not on a Gothic. But there's lots of issues there somehow yeah, whatever you call it in some sense but I think the dynamics the time series themselves are very important. There was actually, there was an interesting talk at the 21 conference where somebody from the intensive care unit actually showed these biomedical markers, and that they have non-negotiate properties so it's actually a big problem if you create for example some scoring rules for triaging based on these average properties which then are never the case in any single individual. Now it is of course due to the success of statistical mechanics in some sense is that people are so used in statistics is it people so used to average everything. There's a lot of things to cover but I think one thing is important that we can actually identify from observation certain processes that we can actually find out for instance low dimensional models with noise are very good models for to represent such data on a pragmatic point of view and then this is not existent at the moment but I hope that it will come in a few years. It's an interesting thing probably also for scientific. Mark, this is interesting. Oh, sorry. Sorry. Liner wants to have a personal so Liner go ahead. Yeah, just very briefly, because you're touching on a very important point here. First of all, whether you were able to reconstruct or not. Has mentioned it may depend on the properties of the underlying system, right, whether you have strong chaos or weak chaos, meaning a positively up on an exponent or not. And then it noise and if I may make a brief advertisement of a talk tomorrow actually that is related to this tomorrow. I will talk about another random dynamic system, which in fact exhibits a transition under the strengths of the random perturbation from nice simple random dynamic system to another type of dynamics where you have actually a good the city breaking. This is also what you're on said that you can really generate totally new type of random dynamics here so they are very very subtle issues here. So that's also more tomorrow if you're interested but there's another talk which comes into play here. Thank you. Thank you, Liner. We have a couple of more minutes sorry to interrupt but I wanted to go ahead. Yeah, that's that's fine. I'm just wondering whether or at least becomes clear to me now that probably in terms of scientific hygiene, if I see the next time that somebody models some empirically stylized facts with a random system or with some dynamic a system that I would also like to see the story the other way around so would you be able to actually detect this random dynamical system among a set of possible models, given the observation so I just found this a very interesting and nice topic as a student project and in a universe of many, many other learning learning project. Thank you, Mark. Again, I apologize for interrupting from my part and I wanted to say from my from from my side that I think it depends a bit on the on the research area where you can see where this thing has been studied or not. Okay, I can point out but maybe we can discuss this later in certain areas where so you try to do an inference based on the trajectory for dynamical stochastic system. Okay, and these are some cases for instance in the calibration of optical tweezers or even a model model selection okay for a stochastic dynamics of running and type particles. Anyway, so let me stop.