of February of 1967. General Hopewood was awarded this thing with service medal, that leads an affair with Combat D for valor. The Navy Combination Medal with Gold Star and blew up Third Award, and the Purple Heart with Gold Star and blew up Third Award. Private First Last Group continued the tradition of a long line of Marine Corporal Lodge Nascots in the Netherlands in 1921, when Premier General Smedling Butler appointed Sergeant Major James as the first member of the Army Corporal of the Army Corporal of the Army Corporal. Private First Last Group continued the tradition of a long line of Marine Corporal and blew up Third Award. Spirit of Development placed in her board part in the making of the United States Marine. Lieutenant Amy Ruth Bryant, gentlemen born United States Navy will deliver the graduation prayer. Ladies and gentlemen, please rise. Let us pray. Holy One, on this day of great celebration, We give you thanks for these young men of Company D who have earned the title Marine. We give you thanks for the gifts and abilities you have given to each one of them which they now bring to strengthen our Marine Corps. We give you thanks for the drill instructors, company officers, and battalion leadership who have shaped and molded these young men into Marines. We are grateful this day for the families who have supported them every step of their journey. For their mothers and fathers, sisters and brothers, grandparents, aunts, uncles and friends, we give you thanks. We ask for the only one that you view with these new Marines as they continue in their training. Keep them safe and bless them. Remind them to be always faithful to their country, to their core, to each other, and to themselves, just as you, O Holy One, are always faithful. Bless our nation, bless these new Marines, and God, bless the United States Marine Corps. Amen. Thank you. Please be seated. The commanding general, Marine Corps Recruit Depot San Diego welcomes you to what is the historical event in the life of a Marine. Their graduation from boot camp, approximately 40 weeks each year for the past 100 years, new Marines have departed San Diego for service with units of the Marine Corps around the globe. The primary mission of the Recruit Depot is to provide basic training to recruits enlisted west of the Mississippi, which represents approximately 51% of all applicants in the Marine Corps each year. The Depot is also home to recruiter school and drill instructor school. All of our efforts here are geared toward one end, producing America's finest fighting force, the United States Marine Corps. This morning, Company D, first recruit training battalion, recruit training regiment will form and march in the parade. Following the pass and review, the graduating Marines will return front and center of the reviewing stand for final dismissal. The staff for today's parade is comprised of Marines from the Recruit Training Regiment. The commander troops is Captain Randall Rady, Company Commander, Company D, first recruit training battalion. The parade attendant is Captain Alec Ray, Executive Officer, Company D, first recruit training battalion, first recruit training regiment. The marching units are now being called to attention at the Adjutants Command. Signed Adjutants Call will begin today's parade. Today's parade are 225 of the graduate Marines from Company D. These are two Marines who display outstanding performance. My name is Alec Ross, I was here in 1074 with M37 out of 350. The platoon 1,016 are more than 292 out of 300 on the physical fitness test. They will be receiving awards from the Marine Corps Association and Foundation. Present today is the Company Honor Graduate Preparator Sergeant Daniel Bledes. Also present today is the primary marching ship instructor with the Latune High Shooting Average of 215 out of 215. Corporal Isaac J.S. Hernandez. Rugged group training is comprised of subjects required to produce basic Marines to function effectively in garrison. Are trained in rudimentary individual field and combat skills. And practice the personal and professional traits which this figure system has Marines. Examples of these traits are Discipline. The achievement of self-control and self-awareness puts us sure of respect for authority. Incident and willing obedience to orders and the self-reliance to maintain or improve those traits will exemplify a Marine. Military bearing. Consistently demonstrating military presence and personal awareness as well as the proper wearing and maintenance of uniforms. A street accord. Acquiring the common spirit of the Marine Corps that expires enthusiasm. Devotion. Teamwork. Aggressiveness. Determination. Moral courage. Integrating burning desire to work with and for others towards excellence in common goals. For 248 years Marines have fought and won whenever and wherever the nation calls. In the harshest conditions over the most brutal terrain and against the most formidable enemies Marines defend the ideas of freedom with grit and tenacity. Although battlefields change and capabilities evolve history proves that true victory comes from the individual Marine with skilled results. A drive to overcome any obstacle and the warrior spirit to fight on and in all odds. In case that's the best thing for this to call Marines today remain in combat or deployed throughout the world confronting every challenge with courage, loyalty and faithfulness. They are resolved to be the most ready when the nation is least ready. To defend freedom anytime and anywhere. To stand ready to gain those devastated by natural disasters. To make training to those who have formed our proud legacy. And to honor the families and loved ones who greatly stand beside us. For the Marines of Romany D. Today marks the end of the 32 week recruit training cycle. They have marched countless miles at Camp Pendleton as well as on this parade deck and have been trained as are all Marines as basic riflemen. In addition, due to an intensive physical training program their strength and endurance have doubled since their arrival at the recruit depot. They are Marines. Qualified to take their places in the ranks of the world's finest fighting organization. The platoons are now being aligned from left to right in order to get them into their exact positions for the parade. The next portion of the ceremony will be our national anthem. We welcome veterans and members of the armed forces to join us in rendering appropriate honors with a military salute. For guests who have not served in the military it is proper etiquette during the national anthem to place their right hands over their hearts and for those in the audience wearing handgear to remove it. Will the guests please rise for the presentation of the colors. Thank you. Please be seated. At the command, post the colors. The color guard moves into position within the parade. This signifies that the entire youth of the parade has been boarded and is ready to be presented to the command. All in the command, parade rest. The parade agitant will give the command sound off which signals the band to parade forward on the assembled Marines while playing military marching music. Now presents the assembled command to the commander of troops. Officers center march. All unit commanders and guide members march to the front and center of the formation. The first order was that this morning the commanding officers would issue orders and instructions to the youth to face them out. In return to their units in the past nation's history millions of men and women have earned the title United States Marine. The men who have helped shape our history join us here today in keeping with the tradition of wanting to Marine, always a Marine. We would like to recognize them. At this time those in the audience who have chosen to be Marines, please rise. Ladies and gentlemen, for the dedicated search before our encounter, please be seated. Ladies and gentlemen, the battalion commander for first group training battalion, Lieutenant Colonel Roger A. Hollenback. Good afternoon General, Brig. General Ryan's and Regimental Commander Colonel Rumler. Welcome to Marine Corps Recruiting Corps San Diego and the graduation ceremony for Delta Company. I'd like to extend a special welcome to today's great review of the mission which is impressive value here in a moment. Commander, Marine, Fleet Marine Forces Atlantic, Commanding General of Marine Forces Command and Commanding General of Marine Forces North, Lieutenant General Cabinet. Welcome sir, thank you for being here. Today's ceremony recognizes your new Marine and all they've accomplished in the last 13 weeks. Gathering here as individuals from all walks of life in all corners of the globe, they stepped onto the legendary yellow footprints and into one certainty. They trained hard and dug deep. They came together and stand before you as a confident team of Marines. The best this nation has to offer. Now, this transformation that you bear witness to today certainly didn't happen on its own. So I'd like to thank those that made it possible. The foundation of their character was in Maine here. It was made in your homes, in your schools and in your communities. So thank you. The parents, families, friends, teachers and coaches. Your love, your support and for many, your signature on the contract set conditions vital to their success. So thank you. Give yourselves a round of applause. Second, our spectacular drilling strategy we spent every moment teaching, training, mentoring and leading these Marines. The dedication and commitment has left a lasting, positive impact on your loved one who will always remember and appreciate their efforts. Now, ladies and gentlemen, the officers and drill instructors are able to commit themselves to the business of making Marines because of the love and support of their families who also join us in the audience today. So if you would, please join me in a round of applause for the drill instructors and families of Delta College.  And of course, the dedicated recruitment with soft potential in your Marine. In fact, joining us for the Weapons Field Training Battalion is Corporal Seamus Hernandez responsible for training with the two with the highest rifle qualification score. And joining us for the recruiting substation read on Nevada is Sergeant Perez, responsible for recruiting today's Army graduate, outstanding work Marines. Please excuse me while I address the Marines one last time as their battalion commander. Good morning Marines. You made it to graduation. You earned the Eva Globe and Anchor and you earned the look of pride on your loved one's face across this great day. It took you 13 weeks to earn this field and it doesn't stop here. We promise you a challenge that will continue to deliver. You must continue to earn the title every day to honor the legacy of those that came before you and to blaze a trail for the next wave of war. The Marine Corps will be what you make it so never forget the skills, the spirit and the values that have been drilled into you that might guarantee your success. You represent the Marine Corps now. You're the future of this great institution.  To stand tall, take charge. When you get home on leave make sure that you introduce your buddies to your local communities. Congratulations Marines. Thank you for your hard work and for your dedication to serve this great nation of ours. Take care of each other. Cultivate the relationships you've made with your fellow Marines. Welcome to the Corps, Semper Fidelis. Now taking their position in the reviewing area as today's great refugee official, Lieutenant General Ryan W. Kavanaugh, commanding General Fleet Bull Reef Force Atlantic. He is accompanying White Brigadier General James A. Rhymes II, commanding General Marine Corps Group Depot San Diego out of the western recruiting region. Ladies and gentlemen, please rise for honors to Lieutenant General Kavanaugh. As it's customary for higher ranking soldiers in the military, we will be firing a traditional bollial fire. Please warn anyone in your family who is sensitive to ammunition fire to prepare themselves for the cannon blasts. Lieutenant General Kavanaugh, a native to Baltimore, Maryland, earned his commission through the United States Naval Academy in 1990 and was designated a naval aviator in 1992. Throughout his career, Lieutenant General Kavanaugh has accumulated over 3,000 flight hours. He has served in a variety of challenging battles in numerous commands. He would clue A. N. Camp to the chief of naval operations, deputy commander at the United States Marine Forces Pacific, assistant deputy commandant at programs and resources department, headquarters Marine Corps, commanding general at First Marine Aircraft Wing, Marine military assistant to the 75th Secretary of the Navy. Lieutenant General Kavanaugh currently serves as the commanding general Fleet Marine Corps Atlantic, Commander Marine Forces Command and Commander Marine Forces Northern Command. Ladies and gentlemen, please welcome Lieutenant General Brian W. Kavanaugh. A passenger of you is a tradition within all military units, allowing the unit commander to formally inspect the unit under their charge. Orders will be able to comment in conflicts around the world, including places whose names are needed to be associated before we encourage and dedication. He says, Kavanaugh, who's soft? In job, goes in reservoir. K. Soft, Quasity, our most current operation, woman, wife, in history, trained here, never forgets its size and sound. As the national flag has a direct and fortitude, these rides once and passes. Stop stop, this is your own work, so the first version at Marine Bands and Naval Boards is a ship with their troops, America's finest young men and women with a basic knowledge and skills to function and profession characterize. The most important thing we do in the Marine Corps is Marine's training here. With Marines graduating today, the long-lost steps to the future and to fill the ranks of our forward may be so with unfashionable support for the high standards of the United States of America and the United States Marine Corps are prepared to no final distinction from who they are. Their additional training is not a after-graduation. They were important to the school and kitchen, but they were consistently trained to serve that initial training that every Marine undergoes is something to instill a fundamental grasp that every Marine is a right man. Ladies and gentlemen, at this time the steps of the difficult transition requires to become a Marine. The company commander is Captain Randall Rainey. The company first sergeant is First Sergeant Fernando Fuentes. Ladies and gentlemen, please join me in a round of applause for that company staff, the company leaders. The next portion of the ceremony will be the traditional function of retiring the Guidance. Our crew training and our being retired is a symbol of the standing of the United States of America. All symbol of the United States of America and character were selected after prevention for future recognition and response of those. The Guidance will now be returned to the drill instructors. Lieutenant Colonel Law Italian Sergeant Major Sergeant Major Rashard M. Brown. Ladies and gentlemen, please hold your applause until all undergraduate graduates have been recognized. 1069 is Private First Class Blue Hawaii. Private First Class John Woods from Kansas City, Missouri. Private First Class John Woods Private First Class Christian W. Palacios from Lancaster, California. Private First Class 1,073 is Private First Class Miss All-Kade Downs from Keller, Texas. The Honor Graduate for Platoon 1074 is Private First Class Benedict J. Stern from Denver, Colorado. And the Honor Graduate for Platoon 1075 and the Company Honor Graduate is Private First Class Samuel T. Hull from Reno, Nevada. Private First Class Hull is also the recipient of the Chesky-Puller Award for his outstanding meritorious performance while in the crew training. Ladies and gentlemen, the Honor graduates of Company D. Private First Sergeant, when I give the command to the senior drill instructors for the sister platoon. Needless to say, this will be the most welcome command they ever see throughout the crew training. And personal items are utilized always with second homes. Please start making your way towards the parking lot. Realize no walkway behind the bleachers and go behind the yellow curtain. Your people need to agree


1. One thing you cannot do around a narcissist. There are a lot of things a narcissist won't want you to do when you are around them, but it really only comes back to one thing. And that one thing is that they do not want you to be yourself around them, which is why you will find that over time you can't even be yourself around them. Because even if you manage to engage in things that you would normally enjoy, you're not going to find as much fulfillment in those things as you normally would. Because when you're around a narcissist you are constantly being affected by or subjected to something, rather than being true to your core identity and living life how you want to live it.  Because a relationship with a narcissist is always a one-way street. There is no space for you to express your own opinions or ideas. What you want and who you are is unimportant. They create predicaments and problems for you and leave you with no good alternatives or solutions to where you end up having to be who they want you to be, which is typically whatever will make them feel good about themselves. While simultaneously blaming and shaming you for something that you were not even willingly participating in, which is a double bind, it's a difficult situation in which whatever action you take you cannot escape unpleasant results. Because you're given conflicting cues such that to obey one cue is to disobey the other. So rather than a win-win, it's a lose-lose. Because based on hypothesis, even if the narcissist presented you with two options, both options would be detrimental and disadvantageous to you. So it's a situation in which a favorable outcome is impossible.  Because the relationship is not able to be saved after being damaged and destroyed. You can't be yourself. You can't express yourself. So whatever you do, it's not going to provide the right conditions for your emotional health, which is why you end up just having to hide yourself. Because narcissists don't have any room for you in the relationship. They're consumed by their way of thinking about and understanding things. They expect everything to revolve around them. They see it as though it's their show. It's their story. And you're not even a supporting role. You're just a part of the audience. And they are not only the start of the show, but they're also the audience of their own show as well.  They don't think that you should be taking any time to create anything for yourself because in their minds you only exist to support their narrative. They believe that their story is the only one that matters and they cannot deal with criticism. They cannot deal with you finding faults with them, even if you are making fair and careful judgments. You just prefer a different type of music or the style of clothes that you wear or the type of car that you drive. There's an endless list of things that threaten the narcissist because any difference tells them that they must be wrong. If they don't like the same things that you like because you're able to find fulfillment in something that they can't. So then they feel like you're making fun of them. They feel like your opinion is better than theirs. Any preferences or differences will bruise and threaten their fragile ego, which makes it very difficult for you to express who you are. The longer you live with them, you decide it's better and safer if you just let them do what they want. And if you let them decide everything for you, because otherwise there's always going to be another fight, they're always going to find another reason to battle with you. Because they're easily offended and upset, so you're always walking on actions around them. You're very careful about your words and actions. Because you never know what might set them off. You can't even have a different opinion. You can't have your own beliefs or perspectives. Because they see their feelings as facts. They believe that the only person who matters so they don't care about your opinions. All that says to them is that you think you're just as important as they are, which then translates to them that they're not important at all.  So it's either you or them.   They have to deflate or humble you so that they can feel more comfortable. Because they can't accept that you're just as important as they are. They're far too insecure to accept that type of reality. They have to be the only one who matters. And they cannot be questioned, which means that they are not willing to listen to you. Unless you are willing to agree with everything they say. Which they will keep in their back pocket for a later date. So that they can weaponize it against you until you just completely disappear. To maintain the peace of perfect conflict. But even then they will still take up all of your time. You will be endlessly listening to them and serving them. Doing things that they want you to do. And you won't have any time left for yourself to explore things that matter to you. Because they will expect every minute of your day to be devoted to them. To try to make them happy when that is impossible. Because narcissistic people can't be satisfied. Even if they do get the exact outcome or result that they want. They can make it look that way if they're posing for a photo for social media. But in reality they're still miserable. And at times you may feel like you're the only one who has to deal with that side of them. Because for everyone else they're able to put on a mask and pretend like everything is fine. While they're constantly complaining to you behind closed doors. About insignificant and relevant things that you don't even care about. They see you as their possession. As something that belongs to them. As an object that exists to serve them. As though there's some demonic spirit who has complete power over you through their words or actions. As though they own you. Which is why they're extremely jealous when you spend time doing other things. And it's why you end up losing yourself at the relationship. Because you don't even have any time to figure out who you are or what you like to do. And even if you did have the time you wouldn't have any energy. Because you're giving all of your energy to try to please an unpleasable person. You're trying to understand why they're upset. You're trying to read their mind. You're constantly walking on eggshells and it makes you very tired. Because you're extremely cautious about everything you say or do. You're already anticipating their reaction. You're pre-considering what they might say or do. To try to prevent another argument. Because the arguments can last for hours at a time. They might wake you up first thing in the morning. Or keep you up until three in the morning. And it's always about something meaningless. So you haven't even got any energy left to think about who you are or what you want to do. And the only way you can do it is by sneaking away when they're not looking. Which is very difficult for you to do because they're always there and they always need something. As soon as you walk out the door. They experience abandonment anxiety. They may feel like you're about to take off. Because they already know it's no fun being around them. So they don't even care about your health or happiness. They're constantly in need of something. So they don't see any value in you using your own time and energy to do something for yourself. Your own basic needs become burdens or criticisms to them. They take it as an insult. Because you're exposing the fact that they can't even meet the basic needs of a human being. Which makes them even more mad. And it makes them not want to meet those needs even more. Which prevents you from getting to know yourself and it makes you hide yourself from them. Because at all times they need you to be playing the part that they need you to act. They can't have you going off script. They need you to be this character that they've imagined in their minds. To match their ideas and descriptions. Because otherwise they're going to feel unstable. They're going to feel like they've lost control over their own lives. If they can no longer control you. They see it as though they own you. And you exist for them to use you. Which is why they would use any possible means of fear tactics to keep you under control. And it will prevent you from expressing yourself or being an individual. Because they have to decide who and what you are. And how you're supposed to think and act. So there is no time for you to get to know yourself or to express yourself. You're being controlled by someone who thinks you exist solely for their use. So they will be jealous of any attention that is on you. Unless they can twist it and make it about them. So that they can take credit for it. But if they can't do that. Then they will minimize your accomplishments. As though you didn't achieve anything great. Or they will try to divert the attention to themselves.  Because they have a fragile ego. So they can't stand to see you get an attention. They feel that the time and attention should be directed towards them. Because they want all of the attention. They have to be the center of the universe. Which is why they can't see you receiving any attention. And they can't stand to see you having any accomplishments that they can't take credit for. Because that makes you look good. So it makes them feel bad. It feels like an insult or an attack to them. Which encourages you to minimize yourself. Or to not share your accomplishments with anyone. Because they're going to make you feel bad. They don't want to see you feeling happy, excited or proud of yourself. Or of something that you've achieved. So trying to make the relationship work is just going to be a waste of your time and energy. Because they don't want you to be yourself. They don't want you to have your own opinions or preferences. Because they need you to tone yourself down.  And even then they still need to be the only person who exists. They need you to be a shell of a person. Who only exists to serve them in their false identity. While your identity is whatever they want it to be. Whatever makes them feel better about themselves. And that's all that you can be. Because anything outside of that is a threat to them. So you cannot build a relationship with someone who doesn't care about who you are.  Because they're not even going to allow you to exist in the relationship. They're not going to feel comfortable as long as you're being yourself. So out of their own insecurities. They're going to persistently chip away at your self-esteem.  Thank you for watching. If you found this video helpful please give it a thumbs up. Share your thoughts in the comment section. Hit the subscribe button to receive the notifications. If you would like to support the channel you can donate a payable to me through Snark Survival. You can book a one-on-one with me on my website. It's Snark Survival in the UK. Thank you for watching and I'll talk to you soon.


For $3,000 a month I do a night cleaning job. I'm three conditions number one I can't take a single day off number two the job lasts 365 days and number three I have to follow all posted signs if I can abide by those three things I get a bonus of $5,000 at the end of my contract to someone desperate for cash with no options PCCOA seemed like a great gig I rarely get sick. I like working by myself and since it's a night gig I can pick up different jobs during the day and maybe one day not live paycheck to paycheck I've had this job for 90 days and it's starting to get weird The conditions are easy, but the actual job I can't really talk to people about it They don't believe me. It's all right with me really I've always been a loner, but I need someone else to know what's been happening PCCOA is a pretty underground business Paranormal containment centers of America. I only found out about it through a sketchy online ad and even there They weren't upfront about what they do. The ad was for night cleaning for PCCOA Purification chemical compounds of America and was labeled as mildly dangerous due to the nature of purification chemicals The entire ad used vague technical jargon that I didn't care to research The pay justified the nature of the job and I needed the job The night cleaning job is not an easy position to fill for a number of reasons including but not limited to the nightly tasks Number one, refilling the blood buckets in the vampire containment cave Number two, mopping the area outside Nessie's tank aka the splash zone where the carnage of her dinner ends up Number three, sanitizing and cleansing the triple layer of doors outside the ghost ward Number four, repairing any damage to the outer walls of the demon den And number five, using a shop vac to remove any unexplainable slime puddles presumably from the extraterrestrial floor And that's just the first half of page one I go in at five and I'm usually done by nine or ten depending on Nessie's enthusiasm for mealtime or how feisty the ghosts are feeling Last night I went in and started to understand why there's a time limit on this job Rule three is important because the signs change each shift Most of the time there ones I've seen before rotated out Caution, spirits imitating loved ones in distress Think happy thoughts, aliens attempting mind control Scarecrows on prowl tonight But I saw one tonight I hadn't seen before As I walked in the bright red sign caught my eye Alert, shadow stealers active Exercise extreme caution After 90 days I'd gotten more comfortable than I could have imagined with paranormal entities But shadow stealers I couldn't recall those I thumbed through my employee handbook until I saw the section shadow stealers a comprehensive warning I scanned the three page right up and got the gist Shadow stealers are rare only emerging about once every five years Shadow stealers are tough because the experts have yet to find a way to fully contain them And they have some nasty habits Shadow stealers follow your breath and their primary goal is to steal it They do this first by taking your shadow a few inches at a time The experts still don't fully understand how But once the shadow stealers have taken 75% of your shadow breathing becomes more difficult As they take the remainder of your shadow you suffocate And there's nothing anyone can do to help you After they suffocate you others in the building hear your breathing for hours Like your breath is following them Highly dangerous and highly distressing If you notice your shadow being consumed You can try to fight back by walking into daylight and shifting your light source Not an option for night shift and at best this option has a 50 success rate Best not to get your shadow taken in the first place The primary defenses a mask covering your nose and mouth to deter them from following And a headlamp to illuminate the space around you So you can always keep watch on your shadow I saw in my daily supply bucket my two additions for the night waiting on me A dark colored mask and a fancy headlamp with lights all around As I moved my head the lights adjusted Allowing me to have an eye on my shadow no matter my movements I scanned the pages on shadow stealers one more time If I learned anything in 90 days it was that being prepared for the paranormal Was of the utmost importance After rereading I grabbed my supplies and set to work The handbook advises against using headphones during your shift It's important to have full hearing in case an alarm sounds or an entity communicates with you Which requires lengthy documentation I began sweeping my normal path and continually checked my shadow I was on guard but nothing seemed off As I swept around the edges of the demon den I tried to ignore the sound of long nails dragging across the wall on the opposite side That's when I heard the sound of a mound of paperwork after my shift A demon spoke to me What happens when they don't get your whole shadow? It hissed from inside the den I could only see its glowing eyes through the darkened pains of the glass As instructed I ignored it despite the bone chilling terror I felt Employees were told to ignore any communications from the paranormal We were told to make note of all things said all sounds smells taste and feelings But never to speak back You don't have to speak to me You don't need to I can hear your thoughts The demon whispered It tapped a nail against the glass I'd only ever been spoken to a couple of times by entities and I'd never spoken back I am a rule follower The experts say that the things contained here will say anything To try to get you into a conversation My hand shook as I continued sweeping We will, Mr. Goodie Two Shoes We will say anything It said as its eyes followed me There's nothing like the feeling of being followed by demon eyes I could feel the cold sweat down my back What happens when it only takes half your shadow when you're able to stop it? The shadow stealers are not far from my kind Would thinking back count as speaking? I couldn't really control my thoughts I didn't remember reading about what happens if 50% of the shadow is taken and you succeed at fighting back The experts so high and mighty Never seen here past daylight for good reason Scared of our power You're expendable to them Why didn't they tell you what happens if your shadow is only half stolen? The words were more sinister Spoken in a whisper that sounded like it was right inside my ears And made the hair on the back of my neck stand at attention Why didn't they tell me? Why wasn't that in the handbook?  How do you think we got in this situation? In this cage? We used to be like you The demon cackled the sound of its laughter made my stomach drop I kept sweeping checking my shadow Still good a few more feet of sweeping and I could be done with the demon den for the night Are you looking close enough? Are you really looking? Employees aren't to speak back to the creatures I inspected my shadow No, no, no, no My wispy hairs that framed my head from my haphazard ponytail Were gone from my shadow I sprinted outside The sun hadn't fully set There was time to check my light source I turned until my shadow was on the other side of me Stretched long I watched as my hair slowly reappeared in it and realized I'd been holding my breath I took a few deep breaths and examined my shadow I was okay Everything was okay I just had to be more vigilant and not let any entities get to me The experts are meticulous I had to go finish the tiny section of the demon den Then complete the rest of my duties I began to speed sweep when the demon came back to the glass Smart boy So smart and so brave You got your shadow back But they got you Your soul They're part of you now Demons are liars It's in every file, every story I've ever heard They lie Humans lie too You'll start turning soon Just like us The demon laughed again I don't think I'll ever get used to that sound I finished the area And latched the hallway door leading to the demon den I'd never been spoken to that much by anything in the center I kept watching my shadow and moved on to the werewolf cages, my favorite area to clean The werewolves were usually calm at night and looked a lot like big dogs to me Lots of things frightened me in that place, but not the werewolves As I rolled my mop bucket into their room, the werewolves began howling They snarled at me, gnashed their teeth and foamed at the mouth I mopped their area, despite the chomping at the bars At least these guys couldn't try to talk to me I finished up their enclosure and rolled to the vampire caves All I had to do was drop some new blood buckets off from the donor freezer As I began lowering them into the cave I realized something was really wrong The buckets smelled good Like really good Like I wanted to drink it I wrapped up my duties there as quick as possible And sped through the rest of my shift I just got home and I can't stop thinking about it The blood smelled good to me I hate to even admit that I didn't write it in my documentation Even though I put everything the demon said to me I am a rule follower, but maybe I can't be anymore I keep replaying what the demon said to me About a piece of my soul About being transformed I really need this job I really wish I didn't


It's Diddy K and I'm back today with another spark video. Huge shout out to everybody to tune in. If you want to subscribe, make sure you subscribe, and give me a thumbs up, and do not skip those ads. It is June 19th, and it's time for us to get to this bag in this video. Guess what? We had to go back to our original girlfriend. We had to go back to Door Dance, baby. So, you guys, with the makes you stay tuned to the full video, also, if you want to buy some of the merch, redefine the brand, the brand, or the brand if you ask me. All you have to do is to email me at RollsRocksViews.Demo.com and let me know what you're trying to do.  I hope you guys enjoy the video. Also, don't forget, 2022 is bag season. We gon' give them a reason. And guess what? We gon' get these G's in. We gon' keep on getting these cans. And we gon' have a blast. I hope you guys enjoy the video. Make sure you subscribe, make sure you give me a thumbs up, and do not skip those ads. It's time for us to get to this bag. Let's go. See y'all, what's it gon' do? It ain't doin', baby. It's Panera Bread, nine items, 2.9 miles for 750. Then it gave us an add-on. It's 741 yards for six small dollars. We holler, we poppin' our collar. We hear it, baby. We hear it, Panera Bread. We're tryin' to get this bread. Last time they had, they had an order ready. We gon' see if they have it ready now. If not, we gon' keep on movin' the groove. We gon' get this money. And hopefully it's soon, then let's go. John, baby. See if they got it together. See if they're not supposed to be ready until 29 and 33. Let's see if they tell mom. Hello, I have a question for you. I'm gonna have two orders. One for the Lake, K, and one for Ginny H. Okay, both on my screen. Just give me, like, a few minutes Okay, thank you. We are here to drop this first order to get an order, baby. I'm kinda in a rush, cause we got two all the way sparked up orders right after this one, after these two. And one of the wallmarks, we have to drive out to Antioch. I'm not sure, if you guys are familiar with it, you know what I'm talkin' about. And they have to probably lie 30 minutes away from here. We already runnin' behind, because guess what? It took a little while.  Get in with the photo. Smack, let's go. An order, baby, we here. I ain't go a lot. I kinda like doing that, again. This joint, it's just so much faster. Like, everything is more fast paced. Hit it with the photo. Smack, let's go. Order two and three, 3.7 miles for $29.94. You know it's time for us to get dough. Order number three is all. One more two order, 3.5 miles for $20.13. It's time for us to get this green. Let's go. Pick it fast, these niggas movin'.  We are here to drop our order number one. We about to get this done and get over run, baby.  We're gonna be late. We're gonna be late to drop out those deliveries, for sure. We still haven't even dropped out the second lever. We gonna be late, but let's go. I'm here to drop off order number two, baby. This one says, please ring doorbells so they can retrieve the groceries. I guess they ring the doorbells.  This is the why. Guess what? My market ain't your market, baby. You do how you do it. I do how I do it. I spit the hot fluid. No timeout? Ring doorbells? So then come on here and get busy. Move them out. Everybody get to do things how they wanna do them. Just because you do it in a different way than I do it and I do it for you, don't mean either one of us are wrong. I had to learn that over years as I got older. You know what I'm saying? Guess what? Everything don't work for everybody. I used to try to preach to people, guys. You guys don't know. All this stuff I'll be telling y'all, use your channel. Don't do this, do this. I used to try to tell people that they ain't gonna never want to miss. Guess what? I used to use this, you know what I'm talking about? That's gonna be smooth. There you go. Something right here, bop, bop, right there. Step back. Y'all already know what time it is. Hit on the phone, y'all already know what time it is. Man, let's go. I'm late on this delivery, man, but hopefully they don't kick me off. So which one is? So this top one is Tracy? This one right here. Yeah, with this one. Oh, these two. Okay, you can put that one in the trunk. We've been ripping it in one of them. They've been sending us all different Walmart, so we don't go through the same ones all the time. We don't go wherever the money at. So let me ask you this question. Do you guys get a lot of orders on Sunday morning? I heard Sundays are the most busiest, but I'm not sure about the other days because I don't really work them in the morning. Okay, so do you guys get a lot of orders like early morning, like 7th, 15th, 7th, 20th? Yeah. Yeah, okay. So I'm just trying to see, because I wanna know which ones I should go to in the morning, because we usually go to Gurney, Walmart early, because they have the Sam's Club there too. But I've never been up here like early morning, like 7th. So I might have to try that. I mean, we had three people here for six different orders for DoorDash. Oh yeah, okay. So I gotta start coming up here. All right, thank you. You have a good one. We're here to jump up order number one. We late, baby. We like a few minutes late, like three minutes late, but we late. We here though. You know what I'm about? Better late than never. You know what I'm talking about? We done done done done done done done done done. Don't give me doggie doggie. I don't want any str... Don't give me doggie doggie. We got some bad days and stuff. You got this one? A Iraq, ma'am? Step back. H이�ruction. Mayk, let's go. We are here to jump up order number two.  But guess what? Guess what this one is here. And this one specifically said, Do not bring a door girl. Maybe it's like that dog who's already barked at me. Dog food. Don't give me doggy. It's okay, it's okay doggy. It's okay. Oh, that's why he asked. He asked. You better calm it down, buddy. Calm it down.  You almost have a jump on here on me, didn't you? You don't plan on ganging me, baby? It's okay, doggy doggy. It's okay. It's okay. You go to the doctor, don't you? You better relax. You better relax. Step back. There's the photo. There it goes. Let's go. Order number four. I remember when we was po. All the way. One by two orders. Five more eight miles for 30, 14. We hot like scorching. Let's go. Jump off order number one. We about to get this done, baby. Get on the run. Them all the way sparked the board. They've been going all off. I had to turn my eyes off because them just kept on ringing. He's going to make my acceptance ring go lower. Ring that doorbell. We trying to keep on getting this. You know what I'm talking about? But since we're here, we finally got to drop these orders off. I'm talking to them. I have a part to turn it on right now so we can get busy again so that we can get these dividends. You know what I'm talking about? Because we know when to win. You know what I'm talking about? Step back. There's the photo. You know what I'm talking about? Let's go. We're here. Time to get into clear. You know what I'm talking about? They got a decent amount of items. This one got a little weight on it. Either way, it goes. No, we took. You know what we're about to do. You're about to come and stall. Doorbell. Let's get it going so my hand gets hidden. We have to move kind of swiftly. We're about to play no game. We're about to do our thing. Dropping nicely. Oh, they really got that much stuff. It's really just the drink though, isn't it, y'all? That's all it was. Yeah, it's the minimae. You know what I'm talking about? The juice. The juice. Some wet of this joint. Oh, this minimae is busted. This joint is holding. It's like the whole carton. The whole side of this joint is ripped off. Look, I'm not going to do what I'm trying to get done. This joint has a whole side ripped off. How did they not notice that? It's wet all in here too. I'll tell my business partner to ask you to text them and let them know about that. I'm leaving here to smack with the photo. Let's go. Order five and six. We're trying to get rich. All the way. Sparta. One more towards 8.1 miles. We're 2450. When you give us our money, we want it crispy. Order number six is all the way. Sparta. One more two orders, 4.8 miles. For 2,858, it's time to get this cake. Let's go. So, guess what, guys? On our way to our wall, Miggity, guess what happened? They canceled one of my orders, so I'm only going to do one order. And we're going to receive 2,250 for that order. This is only going to receive $2. So, I'm cool with that. And instead of 8.1 miles, it's only going to be three miles. And we're about to go wild. Like, Nick Cannon, baby. I keep a cannon. This is the eight. Please don't try my Mike Blemmer. Let's go. Stop the video. I just want to say a huge shout to everybody who subscribed to the channel. I really appreciate all you guys' love and support. And to show my appreciation, I'm going to give you guys up to 50% off all the works we have in stock, baby. So, anything we have in stock, you're going to get up to 50% off on that.  Redefined underscore the underscore brand on Instagram to find out everything we have. Here's the prices, baby. Hoodies, $30. Joggers, $25. Shorts, $25. T-shirts, $10. Colonial perfume, $25. Hats, $25. And just so you guys know, you must pay for shipping. I ain't going to ship until you're not free. If you like to pay for your own shipping, baby. But I hope you guys all enjoyed the video. Make sure you subscribe, but give me a thumbs up and do not skip those ads. It's time for us to get back to this bag. Let's go. I ain't even going to put this in the trunk. Put this in the trunk. I don't know where I'm supposed to go, baby. We got this order. We got this order. It's only two items, two VH flashes. It took them a thousand years to bring these joints out, too. We do have to go back to war when it gets all the way sparked up again. I don't know, I'm trying to get these dived in because we don't want to win. Girl, baby. Hold on. Hold on. Hold on. Hold on. Smack. We're done. Number one. How you doing, sir? How are you? I'm doing great. I can't complain. Happy Father's Day. Thank you. You as well. Well, I'm not a father. My mom keeps on trying to convince me to have kids, but... All right, so just so you have some kid money. I don't want you to keep these, too, for a while. That's the... Bye. Just so I'm not unfortunate, we'll just... Okay. All right. You guys enjoying the weather I see? Yeah. Yeah. Everybody in that way? Yes, sir. Yeah. We got to hurry up and enjoy it while we can. Thank you, guys. You guys have a good one. Enjoy. Just like that, we are here to drop off order number two. We got the doggy treats, baby. That goes on the side of the car. I don't talk a lot because they block me. You know what I'm saying? It's tough for us to get these bands.  I'm going to close like a... Remember that you understand? Doggy treats. Let's get you going. Come on. Hey, get busy. Oh, you'll change. I'm about to get a letter. I ain't going to lie. I'm about to get busy on these dogs. Get a father. He came in that joint. Extra hard, boy. Slow it down. How you doing, sir?  Let's go. Four is blessed. I'm going to order 2.1 miles for 11.55. It's time for us to drop. Let's go. Order eight and nine. We're doing just fine. One by two orders, 5.4 miles for 23.93. It's time to get this cheese. Order number nine is...  It's actually Instacart. Petco, one item, 6.6 miles for 19.22. You know what we're about to do. Guess what they get? They get some dog. This order to get in order. They got the train going on in here doing yoga. Doing yoga. I think this goes here. Hello, how you doing? I have a delivery for Alyssa. That's me. I can bring it in. You want me to bring it in? Yeah. Let's put them... Just throw it on the bar top. Okay. I don't want to mess up the floor. Oh, no. Okay. I want to do yoga with y'all. I can't do yoga with y'all. I can't do yoga with y'all. Can I have the photo? Let me get the photo. Can I have the photo? Just... That's better. All right, you have a good one. You're welcome. Let's go. One trip wrong. Let's get it on. We usually bring it to the garage. It's your husband who usually picks up everything. Yeah. If you walk or bring it close to the door, it'll make it easier. It's good. Okay. I got plenty of time. That's the good thing to have. That's the most valuable thing on earth. You never know how much you got it till it comes. It's been a bag of time, man. I love when they do that. Mm-hmm. And then we have to bring a thousand bags. Yes. Those bags are my items. Yes. Thank you very much. You have a great one, ma'am. We here, baby. You know what I'm talking about? Amy Gagasi was back here. We got that dog. We already went to go pick that up. Because it made more sense to do that all at one time to get on the ground today in the time. You know what I'm talking about? We got to do what's best for the team. So we can get to the ground. Doorbell. Don't give me, doggy, doggy. Don't give me. That other dog, that joint almost came out the door. Oh, I went to one house. The door, the screen door was actually kind of cracked open. He hit the screen. And then open too. I was about to get hit again. I'm about to techbox. Oh, hey, doggy. Hey. You got my pulse. Matt, let's go. We are here to talk about this dog food. Dog food. Let me close the trunk. I got to go back here. They said leave it at the door. I'm going to doorbell. Keep on moving and keep on Google. Trying to get this money. I love when it's soothing like today. What I'm talking about. I'm dying about. I got a nice little set up. This is nice. They take very manicured lawn. Stay back. Y'all already know what I'm talking about. They don't follow us. Matt. Doorbell. Let's go. Last one. Let's get it done. It's the car. One order. Two items. $13. We popping our collar. We a holler. Let's go. And just like that. It is the end of the video. I hope you guys enjoyed the content. Today we made $213.33. We came and got that cheese. And we did it in the breeze. We got done in $127. We thank God for our blessings. We ran out that money. One more stressor. I hope you guys enjoyed the video. Also, if you want to buy some of the merch. Redefine and bring the breast print on the front. If you ask me. All you have to do is to email me at www.RosehouseJFGmail.com And let me know what you're trying to do.  I'll see you guys on the next one. We see you lucky. Intermarkers going back down. We ain't playing around. Happy Father's Day to all who follows out there. And guess what? Today we came and got busy. I hope you guys are with me. I'll see you guys on the next one. We go up, we go up before. And you already know the DDK. And I'm on my way.


So I'm going to talk to you about two constructions of the Louisville theory on the sphere with three insertion points. Now you have so in the previous talk, when you have a measure of Louisville, you can have insertion points. I will explain what is the analogy of this in the map. Well, there's two constructions of random measure. One is by dk rv that you have just saw. They give explicit formulas for correlation functions. We must have more than three insertion points, and they're suitable for compact surfaces. So you have seen in the previous talk that we can construct this kind of theory for a lot of surfaces. Now there's another construction by DuPontier, Miller, and Sheffield. For example, on the sphere, they have less than two insertions with the same weight, but in the case of the pure gravity, in the case where for this specific value of gamma, they have a matrix instead of a measure. So they have something that is more powerful in some sense, and they have couplings with classical probability objects such as SLE, and they're suitable for non-compact surfaces. I hope that the reason why one is suitable for compact surfaces and the other one is suitable for non-compact surfaces will be clear in the end. So the goal of our work, I'm sorry that I have to present my co-authors, this is a joint work with Yuan Ahu and Sun Xin. So the goal of our work is to find a link between these two constructions. It was not clear in the beginning that, for example, on the sphere, they would give the same kind of limit. To begin with, we'll do something algebraic of geometry, of simple geometry. So we'll first talk about multi-transformations. Why we talk about multi-transformations? Because all the theory, they have some intuition from the large random maps that this should be the limit when you embed a very large random map onto the sphere. So when you embed a map on the sphere, you do it with a conformal map. So we'll start with the conformal automorphisms of the sphere of the complex plane. All the multi-transforms look like this on the complex plane. So we have four coefficients and one relation between them. You have three degrees of liberty. The first exercise is to find all transformations that fix three points on the sphere. So there are three degrees of liberty. You must fix three points. There is only one transformation. It's the identity. Solution to the first exercise, you only have one map, is the identity. Solution to the second exercise, now if you want to fix two points on the sphere, you have a family of applications. For example, all applications of this form, all applications of this form will fix 2.0 infinity. So I have a large family of applications and so that would be useful very soon. So we will talk about the conjecture of random map and the measure on the sphere. The conjecture is that if you take a very large random map and you choose three vertices uniformly on the map and you map these three vertices to 0, 1, infinity on the sphere, then in the limit you should get a random measure. So this is a simulation by Truyan. If you think about every one of these triangles, if you take every one of the triangles to have a volume one and you renormalize at the end, you would give some kind of random measure on the sphere. The point is because of what we have said before, if you fix three points, you have one random measure in the end. The random measure is well-defined because the embedding is well-defined. There is a unique way to embed your map on a sphere. So what happens if you want to fix two points? Now the embedding is well-defined because you can actually pass from one embedding to another embedding by this map. You can push forward your measure by one of these multiplications and you get another embedding. So if you want to describe the limits of what is the limit of the random maps, actually you must define simultaneously a family of measures. And two measures in this family are linked by some push-forward relation by this action. So in the construction, if you want to construct this kind of object, the construction must be invariant under this action. If you want to get equivalence class in the end, the construction must be in the equivalence class in the beginning. So we'll talk about two constructions now. The first construction we just saw and the other construction that corresponds to the k was two points. So this is the part that's a little technical. I'll just give you some formulas, definitions and formulas. I will not explain what it is. So this was the Louisville field in the previous talk. And the way of adding insertions, if those weights are gamma, it's like as if you've chosen three points. When you choose uniformly a point, it corresponds to insertion of weight gamma. So these are point of insertions and this lot singularities is the picture that you just saw with singularities as three points. So this is the Louisville field with insertions and you can define the volume associated to it by taking the exponential. Our work focused on the case of univolume measure. So somewhere you have to renormalize the measure and you have to do some shifting of the probability but I will not enter in detail. The point is you have something as well defined here and everything can be calculated. For example, moments at a certain region, for example, every estimation you can calculate in a very explicit form. We will have three points. Now we'll talk about the two-point construction. This is a very interesting construction in the sense that they use some kind of encoding of your surface. You can construct your surface by using a basal process somewhere. So the idea behind this is that if you take the function that is defined on a complex plane, you can decompose it into two parts. First, I will tell you just the average of this function on each of these circles. If I only tell you the average of a function on each one of these circles, you don't know much about this function. If you want to know entirely the function, you must add fluctuations of this function on every one of these circles. So if you combine these two parts, you will get your function or distribution. Now the point of this construction is that you can sample actually these two parts in an independent way. And we can give explicit constructions, well, explicit ways to sample these two parts. Now I will not talk about the fluctuation part, because it's given by some abstract manner, but it's not very difficult. And I'll talk about this part, the average of this. And we will see why the construction is invariant under this action. So what you do, well, this is a little bit hard to read, perhaps at first view. But when you select the basal distortion and you take a lot of this basal distortion, it will look like something like this. So this is on R. It will look like a process like this. It will look like something that we call the two-sided drifted Brownian motion. It will look like a Brownian motion, but with one drift here and one drift here. Now the rule is that we will parametrize this so that it will look like a Brownian motion. But if you think about it, I can translate my picture by a constant. And it does not change the fact that it has quadratic variation. So actually, when you do this, you are defining a process that is invariant under this kind of translation. So if you take this picture back to the sphere or the whole plane, you are defining an object that is invariant under this action, because the law here does not depend on this special choice. So our theorem is the following. We can pass from the two-point definition to the three-point definition, or we can pass from the three-point definition to the two-point definition. How we do it, we'll use, well, to explain this, I'll use some intuition from the random map. So I recall that a two-point case should correspond to the case where you pick two vertices on your random map and you embed it to the sphere. And this three-point case should correspond to where you choose three vertices and you embed it to the sphere. So what we do is that we take the two-point, we take a measure in the equivalence class of two points, we'll pick a third point according to this measure. It's like as if you're picking a third point uniformly among all vertices. But this will give you something that is still in the equivalence class. If you want to pass to a measure, we must use this kind of push-forward operation to fix these three points. We'll fix it to 0, 1, and infinity. You push forward, you measure by this action, and you should get the measure with three points. So this is the intuition behind all that we do. But the difficulty here is that this conformal map is a random map, actually. So it's a little bit non-trivial to characterize this law to describe it. So a consequence of this theorem that you just saw, from passing to two points to three points, is that you take these three points, say with insertion points at 0, 1, and infinity, you take away one of those points. So you forget about the fact that I have one point at 0. You just say that I have two points at 0, I have 1.1, and you just say that I have two points at 0, infinity. Forget about one point. You apply this kind of lateral shift, or you apply this action to your measure so that you pass the equivalence class. And then you get the equivalence measure of the two-point construction. So that's about it. I hope it's not very long. And this was a part of this work was done at the Newton Institute. And I want to thank them for that, and thank you all for listening. Thank you very much. Any questions for Richard? And you can just say a few words about the proof. Do you take the explicit construction and show that it satisfies some actions? Maybe I'll be... Something about the proof? Yes. Yes, OK. If you wish, in the beginning, what we wanted to do is very simple in the beginning. What we wanted to do, you take this field, you do this decomposition, and you see if you have the same part for the radial part. OK. But the only thing is that this thing is well-defined when you only have two download insertions. Well, you should become clear because you don't have one measure, but you have several measures. So we can't do this for two points, but if you do this calculation, actually we'll find something like this. So about the proof that we do it, we actually use another description in the DMS paper. They approach this kind of field by approximations. So imagine you're on a sphere, you have three insertion points. So you can take away a little region. You can take away a little region from this. And you can consider some kind of GFF defined on this domain. The thing is, if the boundary condition here is well-chosen, it will converge to its free point. So this is the crucial lemma in our proof that we use to identify this true process. Any other questions? In this case, thank you again.


Hello and welcome to the session. In this session we are going to discuss the following question and the question says that write the given vector in component form. Now we know that every vector has two components horizontal component and vertical component. Also a vector is represented as the ordered pair xy which is the component form of the vector. When direction of a vector v is given as theta and magnitude is modulus of vector v then horizontal component x is equal to magnitude of v into cos of theta and vertical component is equal to y that is equal to magnitude of v into sin of angle theta. Thus component form of vector v is given by the ordered pair magnitude of v cos theta magnitude of v sin theta. With this key idea let us proceed to the solution. Now we are given a vector v whose direction angle is 60 degrees and magnitude is 5. Thus we have magnitude of v is equal to 5 and theta is equal to 60 degrees and we have to write this vector in component form. Using the key idea we will find its components and the horizontal component x is given by magnitude of v into cos of theta and vertical component y is given by magnitude of v into sin of theta where direction of a vector v is theta and magnitude is modulus of v. So horizontal component that is x is equal to magnitude of v into cos of theta. Now we put the values of magnitude of v and theta. So this implies that x is equal to 5 into cos of 60 degrees which further implies that x is equal to 5 into now cos of 60 degrees is equal to 1 by 2. So we have x is equal to 5 by 2. Now we shall find vertical component y which is given by y is equal to magnitude of v into sin of angle theta. Now again putting the values of magnitude of v and theta in this equation we get y is equal to 5 into sin of 60 degrees which further implies that y is equal to 5 into now sin of 60 degrees is equal to square root of 3 by 2 which implies that y is equal to 5 into square root of 3 by 2. So we get the value of x as 5 by 2 and the value of y as 5 into square root of 3 by 2. Thus the component form of the vector is given by the ordered pair magnitude of v cos of theta magnitude of v sin of theta and that is equal to the ordered pair 5 by 2 5 into square root of 3 by 2. Thus the component form of the given vector is the ordered pair 5 by 2 5 into square root of 3 by 2. This completes our session. Hope you enjoyed this session.


So welcome to the Kubernetes Policy Working Group session.  Part of the motivation actually comes from the chief architect, Brian Grant from Google. So Brian Grant always envisioned a policy framework being one of the like the shapes of Kubernetes in the future that Kubernetes should transform to. So policy is always like a big thing on his mind. From ourselves, what we find necessary to form a policy working group is because that basically you can find policy defined in many places in Kubernetes. You have policy which is a big one. You have network policy, you have RBAC policy, you have many policy. But if you ask anyone what is Kubernetes policy so I doubt anyone can give a concrete answer to it. So that's actually part of the problem that policy is defined like scattered all around the place. And another thing is that policy description are domestic in nature. We got questions from people like are we going to define a single policy description language through the working group? The answer is probably no because policy language is very tricky and domain specific so we don't think we can standardize that. But what the working group is focusing on is the policy semantics and the control mechanism. So these are things that is universal and could be standardized or generalized. So this is our focus. And also policy is very important in many other aspects outside of Kubernetes. For example, this is the ONAP policy project. And if you have a similar background like I did with writing standard 12 years ago, you know policy plays a big part in the IMS. That was NGN standard like a decade ago. So policy is important and policy is scattered around so we want to form a working group to try to come up with architecture as I said to have a standardized control mechanism. And this is what the purpose of the working group. This is a relationship with the different six. As you can see we keep in touch with many six. Like scheduling, admission, storage, network. Like multi-tenancy working group. And also working group in Kubernetes by definition is cross multiple six. We always have a list of working items for every half year. So this is the work items we focus on for the first half of the year. Probably we will keep focusing on for the second half of this year. So multi-tenancy gatekeeper and policy security policy. These are the three big items we will be focusing on for the Kubernetes side. And we have also some new ideas, very forward-looking almost research items. If you are interested, you are welcome to participate. Okay, so multi-tenancy multi-tenancy has always been a big problem for Kubernetes. There has been a very small proposed by Google and other companies like hard multi-tenancy or soft multi-tenancy. So I think the multi-tenancy working group currently is running a proposal basically have a tenant CRD to populate the tenancy resource, view tenant as a resource and populate the resource via the CRD. So the policy, why do we need a policy here? The policy here is to help basically to tell the tenant CRD where to stop. So the policy will describe what the limits a tenant will have and help automate the process of populate the tenant. So as you can see, these are the I pick it up from the design document from the multi-tenancy. So in a nutshell by defining a policy we help solving the custom resource population problem. So simple idea is something like we can utilize the gatekeeper project. So basically we define a tenant policy object. So in that policy object we described like what the policy should be applied to a certain tenant and then the gatekeeper will help mapping the policy definition to the general working mechanism. So there's still a problem like how do we define the constraint for a population. So the biggest problem still is when do we heat the wall and stop. So this is still like an interesting area for us to explore. The second one is the gatekeeper project. So for those of you are now familiar with gatekeeper is a project spearhead by Microsoft and other companies work with the open policy agent project. So it's basically a policy CRD project. So gatekeeper helps define a way that you can use policy to do the mission control and other stuff in Kubernetes through OPA. So gatekeeper is I think is very promising. They have made a lot of progress and will keep working very closely with the gatekeeper project. And also there will be some very interesting planning for OPA like the Wazem support. Very interesting for us. Another big thing, the third item is the policy security policy migration. So there are discussions about actually migrate the security policy of the core Kubernetes mechanism into a like auto tree operation. So gatekeeper is actually one of the choice under consideration by Seagoth and so we also work very closely with gatekeeper folks to see if we can use gatekeeper actually to do the policy security policy. How do we do that? I think this is one of the most interesting experiment we'll be conducting in the second half of this year. So some new things. The first new experiment we're also running is the formal verification for policy. So formal verification is sort of not the type of thing you usually thinking about for cloud computing is usually done mostly in research. So you have a way of formally verify a mechanism and identify many of the corner cases. So what we find interesting for policy is that we need a way to know how the policy is defined correctly and also when the policy is enforced executed, whether it is executed correctly. So there comes the proposal for the formal verification. So I will spare you the details if you are familiar with the first order logic. You'll be familiar with the SMT solvers. So basically this is what the formal verification is. So we try to verify this logic expression. There are many open source SMT solvers we can take into consideration. I think these three is the most mentioned one. So in order to do the formal verification one thing we need to do for policy is to actually construct a symbolic graph to abstract the policy description for Kubernetes. So for each domain the graph will be different. For example networking will be looking at something like this and for multi-tenancy it will be something like this. You have a privilege escalation or de-escalation from the root to many of the tenant you populated. And for security, mostly likely you have this type of graph. So each domain probably will have different graphs. So the current discussion, we are having discussion with the AWS Automated Reasoning Group. Also with folks from JPMorgan because banking, the financial industry like having the biggest requirement for the formal verification. So the current target is to looking at the use case for privilege escalation because privilege escalation is useful in several use cases. For example for the Kubernetes operator lifecycle management for multi-tenancy and also like in Istio, like out of Kubernetes, Istio also has the problem of doing the privilege escalation or de-escalation. So if you are also interested, you can send me an email or the other working group co-lead Erika to contact us. Policy as a type system. So basically you can view the Kubernetes policy as a type for your whole cluster. So similar to the type we know for the programming language like the integer coding point, the policy here actually serves as a constraint. So as a type system. So basically a policy or Kubernetes policy defines these four things. And so also I won't go into details. I think one of the things that we want to emphasize is a policy different from configuration in a way that policy expect result. So when you define a policy you have to define the result and when a certain action is taken you know there has to be either reward or punishment for certain result. But for configuration you don't expect a certain result you just config. Okay just a couple examples of how we view policy as a type system. So outside of Kubernetes we also have CFY collaboration. We are part of the CNCF security seek. So we are also constructing a cloud native policy white paper. So this is the architecture we are currently having. As you can see we have formal verification, policy engine and a compiler in the sense of Kubernetes CRD controller. So if you are interested you are also welcome to contribute to the white paper. Okay so the best way to contribute or get in contact with the working group is to look at the document. We have a document for all the meeting minutes agenda. All the information is on this document. If you go on Slack we are on a work group policy or you go to the seek security channel. We are on there as well. Okay. Thank you very much.


Čakaj za imetnje, za poslutnje, da imaš zelo. Znamo tudi tudi tudi tudi tudi tudi tudi tudi tudi tudi tudi tudi tudi tudi tudi tudi zelo. Tukaj je zelo vsega vrtega. Zelo se, da je vsega vsega vrtega. In zelo skupam, da je točen je vse nekaj odegrat, skupam, da je točen jezerno nekaj odegrat. Tudi nereči se, da je točeno, Je ni napravljeno, da smo bila nouserlja in tačnje lažijo radnjav bermiči. Vse možemo ročne obrana, ne znamo, da ne bo ta komponent, kaj je zezet, zezet, in komponent, zezet, vzelo komponent, ker je pravda izvizible z tajpov. In je zelo, da je to nekaj zelo, da je taj zelo, zelo je nekaj nekaj nekaj obzir, kaj je tundilje in tjup. Tjup skupaj vsega vsega vsega vsega vsega vsega. Tundilje vsega vsega vsega vsega. In maybe it's not a well visible, but these authors, I think it was about the network obtained from Alexa engine, which now doesn't exist. In vidiš, da je tudi nr. 56 milijon norskih komponentov, tudi norskih norskih komponentov, tudi nr. 44 milijon norskih norskih norskih norskih norskih norskih norskih norskih norskih. Vbaguče imate pri forbinačenju, vse preddjeli, da je tudi nr. 44 milijon norskih komponentov, norskih informacijov. Vse tu tudi norskih komponentov norskih komponentov, in zato vidim tudi, da je tako zropačne in vse materije. Tako, da je tudi moja bliprstvina sej, več, bo prijeva, okaj da je jo, povihzel, ta naša dobro, ki je vse naša, koliko je dobro za to staro. In misli, da je povihzela, ko naša raz ощущ, način, da se je vse občasnje, je to možete, da se je zelo jazna, ampak izgleda vzljela, vzljela taj bolj. Vsega komponenta je veliko nekaj, kaj komponenta in veliko. Zato za vsega komponenta zelo začeličili, da je imela začela površenje. Zelo smo površena za 3-like, za lokalj 3-like graf, ali je bilo konveno, da je zelo vzelo vzelo, tako vzelo v zelo, na in in in vzelo, tako je bitno vzelo. But nonetheless, let me return to the first picture and try to understand how the standouts are organized. Or better to say how the in komponencija vzglednja, je vzglednjena, načo je vzglednja, in vzglednja komponencija. Vzglednja, tvoj izglednja, je zelo, kako je izglednja, kako je izglednja. Včetnji ne zelo vse ne zelo prišličiti, da je obču, kar je početno, da je to vse nekaj, da je to, da je to, da je to, da je to, da je to, da je to, da je to. In prizaj nang Metron of these objects, standards and tubes in different layers in different networks. In se sem bi sestati organizacje in statištike, zato veux da igram te stand-ups. In nekaj reprezentacij, ki je tudi, početno, početno vedno v tega vzvršča, kaj je zelo vzvrščo. In se zelo vzvrščo, tudi je tudi, tudi je vzvrščo, in v tem zelo, ki so vzivati. Zato ne zelo, da imamo vse algoritm, kako smo vzivali, ali je ideja, da je vse schem, je ta izgleda kompletne kompetencije z vsebnjev komponente, z vsebnjev komponente, vse nekaj nekaj, od vsem vsebnjev komponente z vsebnjev kako sem nekaj, Tako, to je zelo, kaj je potrebno pošličiti na netrof. In, kako smo prišličili taj tendel, smo pošličili. Sopošliš, da smo prišličili tendel v prvom ljudi. To je... Kaj je bilo? Poživajte na svoj netvorek in poživajte rečenje načinje načinje unifikacije kaj je stajne nječ in šalječnje komponente. In potem aircraftnje tez, kaj je vsičen in vse komponente v tem najbolj nečo stonesov. Časno zač Mart podjeljene z inrvosti. Zato je naprej, in out komponente, odličite in in out komponente. In result bi jaz komponente čudovite in in out and overlapped in out tubes.Applause . So it's a very easy algorithm. And you can apply it directly to a network. And you can combine it with message passing calculations. We made it in both ways. So here the pictures showing sizes of in, pri nekaj lahko pošličnjih potrednjih, za tri netvorke, za rektarnega kratke, za neko vzelo dobro, p-to-p-netvorke, načo nekaj ne prejde, in nekaj nekaj nekaj pošličnjih. Zato smo se jaz vseh, da so vseh, da je vseh, da je se metrične zeljene, kde najčuljene in nečaljne komponente imelijo. In zelo, kaj je več vzvijati komponent, je sezato, da je zelo jaz jaz vseh. Ja poček, da je nečaljne komponente, In je kreativnja indikta, kaj je tudi, kaj je tudi, kaj je tudi. Vse gledajte. In tukaj, tukaj, zelo videl, da je to več stranje, vzvečne vzvečne komponente. Tako, tukaj je zelo vsega algoritm. Nr. tendrelje v nekaj nekaj ležnih. In za te dve netorka, vse vidimo, da vse p je zelo izgleda in izgleda 1 minus p vertice v random. P je različ, da je to na SEA legand, vzpeči tzvom tendel. In jih tzvom tendel zelo vse nrv srtače. Našli, nekaj je vziv. Kako smo prišli vziv, jazem je 10 nekaj nekaj nekaj nekaj netvor, kaj je Nutella. In nekaj nekaj je zelo vziv, kaj je vziv taj algoritm vziv, tudi tudi, tudi tudi, tudi tudi in tudi v tabu, tudi tudi v tabu. Tudi tudi v tabu v vrtičenih tudi tudi. Vse vsi videl, da ne je vzvolj neselo, prakšt kaj je vzvolj tudi v tabu. And when we approaching the network, the threshold, the point of birth of the of this gene components, of directed gene components, you see that the number of tudi, da je tudi vseh ljudi in tudi vseh ljudi, tudi tudi vseh ljudi, tudi vseh ljudi. Tu se, da je tudi ljudi ljudi, vseč, da boš pošljava netvorega, vseč, da boš pošljava netvorega, Sreč smo tudi repejno odpozorili tega vrtečnja za mnogočnega zeločnega. Taj nič nekaj nekaj nekaj nekaj nekaj invarstvih vrtečnih. Tako, je bilo tudi o stavljenju, tudi o organizacijju, tudi o statičnih, tudi o tudi o tudi. In tukaj poživam druga pravda v moj tukaj, na semplijske komplecije in manjiforci. In kako smo modljali in kako smo generali manjiforci in vsečenje, z vsečenjem ideja, z komplecijne netvore. Tako, je bilo. Zdaj je bilo, da je tudi tukaj, če je to zelo. In je, da je tukaj, tukaj je vzvečen, vzvečen kaj je zelo, kaj je zelo, je d plus 1, klik, simplex is d plus one, click graph. But most of our results were about surfaces and their triangulations. It's simply a particular case of manifold. And this sounds pathetic, but it's right. And triangulation is a particular case of planar graph, but you understand that it's very strong constraint, that it is this constraint that it consists of only of tangles, there's no squares, nothing more. And we will see that it's a change very strongly the space dimension of these objects, because from quantum gravity it's well known that typical random planars are four dimensional. I mean that their Hausdorff dimension is four, typically. And here it will be not the case. So the first work in this direction was this one, and the idea was to grow triangulations from their borders in the following way. We simply attach triangles, or we create triangles, we attach a triangle to a border, or we connect two second neighbors by a new edge and creating a new face. And actually when we treat these networks by using simple ideas from complex networks where all the time have a temptation to forget that triangulations are actually about their faces. But we want to speak about vertices, but we must be careful. We will later see that it's dangerous. So three questions. The first is about local structure. It's a bit boring about the degree distribution, clustering, coefficient, and correlations of degrees. It's not very interesting, and it can be made analytically exactly explicitly. But the second question is the most important in actually about networks. What is its dimension? Because this is what differs most impressively one network from another. Small world network, small world or large world, how large. And two leading dimensions which we are interested in will be Hausdorff and spectral dimension. This Hausdorff is, in our case, it coincides with Hausdorff dimension, what we will discuss, but Hausdorff dimension will be something different. And the third point is topology. Topology is in terms of real topology, in terms of standard about the property for space which are preserved with continuous deformations. How this sphere with many handles. And changing, and we will have objects of this kind. So, our idea is to consider all possible transformations of triangulations, which keep there to be triangulations. And the most known transformation, and the minimal transformation of this kind is so-called partner moves. But you see that there are three of them and people believe that it's really minimal, but it's not quite right, because there is this transformation splitting of two adjacent edges in this transformation. So, you create two new phases here, or you eliminate these two phases, you merge them. So, there are only two moves and you can use this transformation to transform, to make any possible transformations without the same topology. Suppose that we have triangulations homomorphic to sphere. If we have another triangulation of this kind, then we can find a chain of transformations of this kind, for example, or partner moves, or combinations of both of them, and we transform them and continue step by step. But if we have triangulation homomorphic to torus, then we cannot move in this way to triangulations homomorphic to sphere. So, this is very naive version of local curvature, which coincides with simply degree of a vertex. When degree is 6, you have a locally, the local curvature is zero. So, we can say that when we have say a hub, it means we have a very curved space in this place. And how our models are organized in very simple way. We simply choose some vertex, or edge, or face, or some local environment of these objects. And we choose them at random, uniformly at random, or we choose them with some preference in preferential way. And then we apply to this local. Group we apply these transformations or some other transformations of this kind. And in this way, we can create a zoom, we can develop a zoom of various models of this kind, and we choose them simply very different because we wanted to get different space and house door of dimensions. We hoped first, when we studied that, that we will get just house door of dimension 4 as in standard random planar graphs in quantum gravity. The idea was that we should get 4. So, we played with different transformations and some of them they produce equilibrium models. It's small, but maybe I can say by words, you simply choose some triangle, some face and insert into it a new vertex and create inside 3 faces. And you can make it in both ways by randomly choosing this triangle. For example, it's one possibility to get equilibrium. And another possibility is to make the following. Suppose that you have a triangulation, then you choose at random, for example uniformly at random 2 faces and merge them together. These faces, they can be very far from each other on opposite side of your manifold. And you merge together and then you eliminate these 2 faces, annihilate them. Then you will have already a hole, a warm hole, you would better say, as in a tube inside of this surface. So, you will change topology from, say from triangulation, to sphere. You will get triangulation, to torus. And so on. And then increase more and more. So, it's about the problem with this, with dimensions, that there is no analytical way to find them. All the results known for this, for household action, for spectral dimensions. Also, they were obtained for only for trees or for some very exotic triangulation, say, or more general, for exotic simpliscial complexes, which can be reduced to trees. So, unfortunately, there is only one way to make simulations, to generate very large network and to measure and to look how the number of vertices within the sphere in this network of radios are, where I saw this radios, how it grows. At first sight, it's for different models from previous slide, but it's not important. At first sight, on them, they look like Paolo, but so at first sight, paolo should be finite dimension, but when you look at more carefully and look at log-log plot of the same, of the same figure, you will see that some of them, they never have, even for very large networks, they will have no this plateau part. This part just shows that we have already finite dimensional object. And when we have this peak, it means that maybe this plateau will measure if we pass to very large networks, which are not approachable in simulations. In simulations, our students made it up to 10 power 7. So it's not enough. And the same can be made for spectral dimensions for ordinary Laplace operator. We look how it behaves at small values of Eigen value. By the way, it's not quite trivial, because it turns out that close to at the range of very small Eigen values, there is some deviation from linear behavior to finite size effect, which is not only affects the position of the lowest Eigen, the second lowest, the lowest is zero, as you know. But it's only changed its porous linear dependence close to the smallest Eigen vector. But nonetheless, it's just show. And maybe I immediately tell about these networks with varying topology. We simply generated it by using combination of some of these transformations like Pachner moves or other ones. We just matched and annihilated phases like I told. And the number of these warm holes grew in linear way in this way. And you see that degree distributions, I simply didn't show these degree distributions for our models, which were obtained analytically. For this model, I was lazy to get it. It was possible to make it analytically, by the way, exactly. But I didn't make it. It's a result of simulations. And you see some hint on condensation phenomena, actually, unfortunately analytically, I didn't check. I think that actually there is no condensation still. So it's for future work. But this just shows a set of for various models from the Zoom, a set of Hausdorff and spectral dimensions, as it should be spectral dimension, cannot be larger than Hausdorff. But it was possible to observe that we have a spectrum of different Hausdorff and spectral dimensions. And there are not four, for example, some of them can be smaller. And actually we can even varying parameters of our models. We can vary continuously these dimensions in some cases. But this is more representative. For equilibrium triangulations, we had no solid results for Hausdorff. We had no dimensions because our equilibrium networks were essentially smaller than the growing one, because for equilibrium you must relax your system. And it turned out that this relaxation is very slow. And it was difficult to approach it. But nonetheless, for this model, we can describe you for creating a vertex within a face and vice versa. And we get kind of Hausdorff dimension. This was about two. And spectral is about 1.4. And I can indicate some parallel with equilibrium random trees. Ensemble of equilibrium random trees. It's simply you consider all possible trees. For example of given size. And each member of this ensemble has the same statistical weight. For example 1. And for them it's known that Hausdorff dimension is 2. It's 2 dimensional graph in Hausdorff dimension in sense. And spectral dimension is 4 divided by 3. Here we have kind of that. I don't want to make some intermediate conclusions. But I simply pass to another problem concerned some kind of surfaces and networks which I enclosed within these surfaces. But it's very different problem. And it's related to self-assembling systems. The point is that now in nanotechnology when they produce drugs and they use the following trick. They are trying to create some kind of boxes, small boxes with holes into which they put the drugs and kind of that. So what they make in abstract terms they simply cut. They prepare the flat cut of the shell and then they heat it in some way or apply some chemical reaction and it falls into their box. And unfortunately I have forgotten to put here very impressive picture from the cover of one of the last nature issues. And just they produce beautiful. But so there is some practical problem of this kind. Yes, but the problem that it turned out that it's very important to prepare this net in terms of this self-folding, this flat cut is called net and the result is called shell. So it's important to prepare this net in such a way, in such a form that you will get the maximal yield of your technological process. And it was found that the maximal yield occurs in the following situation. If you apply two design rules, the first rule is simply a geometrical one. You demand that the maximal, that the number of vertices with a single edge cut should be maximum. And here it's just to demonstrate to you what does it mean in their terms, in standard terms of the science or does it mean single edge cut. Here are vertices with single edge cut. So there's the number of their phrases in net is the same as in shell. So it's clear. And so our aim will be to find the full set of nets which produces this maximal number of these vertices. And then after we have this set built, created by using this constraint, already we can apply any other rule which depends on technology, actually. It turns out again that by some reasons in technology they like, for example, the demand, the minimal radius of duration of this net, but it's not necessary already. So we were interested in the first rule, the design rule. And step one is NP-hard. And up to now what they made, they simply generated all possible nets at random and they chose and they selected of them this maximal edge cut nets. And mostly first they started with very small shells and it worked, but they proceed up to now, up to very recent. Before us they made it to already rather light shells. But it turned out that the number of nets is huge. I will show that it can be 10 power 8 for other compact shells. And so you cannot solve this problem in this way. So we developed a very simple algorithm which allowed you to find this complete set of these nets for any shell of reasonable size and if you want it to be huge, then our algorithm can be very easily modified and it allows you to find these optimal nets with probability, with very high probability which goes to zero. With very high probability which goes to one. I wanted to say, I wanted to deceive you, apparently. Yes. So the idea is very simple. The first desire when you have this graph is to treat it as each its face to treat it as a vertex and each edge between these shells treat it to the edge. So it is too... Yes, but it turned out that it doesn't work in this way and better simply to consider simply a shell graph consisting of its vertices and original vertices and original edges. And it turned out that this design rule it simply corresponds to finding the set of maximum leaf spanning trees of this graph. So the idea is simply almost trivial and it turns out that then we can make it by using this idea simply for up to or rather high size shells we can find completely the set. And this is, for example, is our result for finding for rather not very large shells and you see it's about the fraction of spanning trees with maximum leaf spanning trees and this is the complete number of spanning trees and you see that this number this fraction can be extremely small and what normally people made up to now they simply they try to simulate and to expect at random this to search and to simply one by one choosing this spanning trees to find the maximum leaf spanning trees which was very strange. So this you see that for different shapes for different shells it's this curve these dots are around this line this line is obtained analytically kind of estimate. So another, in this case this is even a better agreement with these dots and our estimate. Yes, and because it was just we submitted it before the World Soccer Cup so we was example for soccer ball and already we applied second part of the algorithm with the minimizing the duration ratio and you see that even here situation is not quite trivial you see that very close to zero it's kind of a derivative you can treat it as infinite zero so the optimal the optimal net to this point is just the most compact in space and the second net this is in the middle and this is the worst in the complete set of isomorphic to each other the nets because we have very large number of nets and many of them are isomorphic of them are four thousand with maximum so yes, so I completed these three parts of my talk and I'm a bit shocked what to say in conclusion because they are kind of orthogonal one to each other but because of these nice words I would conclude with saying that these words of 1999 1998 and now they are completely absurd it's a joke so thousands tens of thousands or even more of completely academic works about this topic and one of them was presented in the first third of my talk so this leaf algorithm we think it's the most efficient at the moment or if you want to solve low probabilities no, but it's not simply efficient it simply allows you to find it completely for any reasonably for any sense of reasonable size for any sense which they use in technology and this algorithm of course first house was documented in a cluster but he improved and proved and proved and now it runs in this kind of laptops but I can only repeat that it's possible to make it for very large sense by using already some approximate version of this algorithm actually we have this version but simply there is no need for them just now because we solve this problem for any reasonably for practical needs and we even try to get a patent for this algorithm but it's still in process so what was your second part one of the ensembles he was showing at the large plateau what is this ensembles how do you hold one of the rules this is growing say this is one second this is the growing the growing second and it's just the growth was based on selection on selection of first you select random vertex then you select to its random edge and then you split them into two this is growing this way but the point is that this large plateau it shows that even when need approach this already that you can see even in rather small graphs because for example if you this plot is for finite size graphs and for all them they are of the same size if you increase size of graph you will simply have this plateau bigger and if you have graph infinite you have this plateau infinite but for example here already you cannot say if it will be this plateau it's growth perfect it's simply one of models you can generate them question from data scientist for the second part of the talk can we imagine application of these evolving manifolds for learning data manifolds constructing, growing approximators maybe you know such I don't know I don't know and one point about which I didn't say you this when I speak about this triangulation I assume that I ignored this sizes of the edges in principle when you want to triangulate any body of course all these edges must be different I ignore this in this models but in principle we know how to consider this but in your case I think it's just also you ignore also yes but I don't know I have no idea