Hi everybody, I'm excited to tell you about the Soul Gym Content Creation Program. So what is this? It is a place to support you, an online community and a training program to support you in creating content consistently and how to repurpose your best content and to share it with social media so that you can grow an audience for your authentic business. So if you have watched any of my videos, maybe you've heard this idea and not only do I believe the idea, I actually do it myself, which is one of the most important habits to build in your business. If you want an authentic business, which is to have a business doing what you love, sharing what you love, one of the most important habits. And I think the first real habit or set of skills to develop is consistent and authentic content creation. And I've noticed over the years as I've coached hundreds of clients and thousands of students that that's one of the hardest thing to do. People say, oh, I get it, George. I know that to build an audience of true fans and therefore have plenty of people who would love to hire me for my services and to buy my products and things. I know that I need to show up consistently with authentic content, but it's so hard to do it. Many reasons why it's hard. Maybe you are a caretaker.  But even if you have a perfectly quiet and calm life, it's still difficult to show up consistently because creating by definition means bringing into the world something that has not been there before. And with that comes all the risk of what if people don't like it? What if I sound stupid? What if I don't appear as intelligent or credible as I'd like people to believe that I am or that I believe that I am? What if this thing doesn't go anywhere? What if nobody cares? Why bother creating? And so so much of the journey of becoming a consistent and authentic creator, which is what builds you a true fan audience and allows your marketing to be easier and easier over the years. Let me say that again, there's a long chain, but this is the sort of the how it works. You become a consistent and authentic creator, step one, which is a lot. Step two, you are growing. Therefore, I mean, it's not like once you started, then you begin growing your true fan audience, the people who resonate naturally with your energy signature.  The more you post, the more you transmit your energy signature, the more your energy signature reaches people, some of whom are going to resonate with that energy signature and the people who resonate with that deeply. They don't know, even though why it's something about your face, something about your voice, you don't have to be a pretty or handsome person. But there's some, I believe also there's some kind of soul group connection or something, but if you don't believe in that, there's at least some personality compatibility that happens. Again, it's not about how pretty or handsome you are. It's not about how beautiful your voice sounds or how wonderfully you write. There's something about the combination of who you are and the experience in the background you have that somehow it's like a key to a doorway.  And so the more you show up with your energy signature, the more basically your soul group members find you. It's almost like we came into this life agreeing, again, play with me here. We don't believe this, at least play with the analogy. Imagine that we all agreed before we incarnated into this life, into this earth before we were all souls in an infinite field. And we say, all right, let's play a game of hide and seek. The 10,000 of us, right, a part of the soul group or whatever, are all going to incarnate into different places in the world. We're going to show up in different times. You'll be born 30 years after me and or they will be born 12 years before me or whatever. We're going to be born at different times, different places, but we're going to be born in a time where there's something called the internet. And through the internet, we're going to play this game of hide and seek. Somehow your purpose in this life, part of your purpose is to learn how to find your authentic voice and to express it as powerfully as you possibly can. So that is the soul gym that we're coming into here. You're exercising your soul and expressing it in a way that sends out pings to the internet to find your 10,000 soul group members. Now, again, that's an analogy, whether that's literally true or not. It's up to your spiritual worldview. But I think it works, whether spiritually or even practically and strategically for business, this is an analogy that actually I find to be true. The more you are willing to show up with your authentic voice, experiment and explore with that publicly, share your story, share the challenges you've gone through, share the results or the solutions you've come across, you've developed or you come across that have helped you to overcome your challenges and to help your friends, your clients overcome theirs. The more you do that, the more your soul group members find you because that was part of why you incarnated here is to practice and exercise that because without exercising it, you're not fulfilling your soul's calling in this life. And to exercise it means you are fulfilling your soul's calling, which is then you get rewarded by having your soul group members find you because you all agreed to play hide and seek and now you get to find each other. So that's what I've been doing now, creating authentic, consistent content since 2014. I didn't know about this. I started my business 2009. I didn't know about the power of creating authentic content consistently until 2014. I'm so glad I finally figured out, OK, if I really want my marketing to be easier and easier in the future, I've got to not only keep launching and try to sell and persuade people to buy. That's what I did for my first five years. So much stress and drama, hard work, ups and downs of business. I had to try to get clients and then 2014 some like, well, it was really 2012, it really kind of began my consciousness. I feel like started to shift in some way. And by 2014, I'm like, I'm going to dedicate myself to be two years. I'm going to dedicate myself to consistently creating. And once I started doing that, it took me two years to figure out how to how to do this. And by 2016, I looked around and I was very interested to find out that I haven't had to do any outreach for clients for a little while. I can't pinpoint exactly when it started. But I know I started content in 2014 and by 2016, by the end of 2016, I no longer had to reach out to get clients. But at that time, I was still doing I was still working with one to one clients, individual clients. I no longer had to do that because all of them were coming to me through my content and had a waiting list by the end of 2016. So it took me two years. I don't know how long it'll take you until you have a waiting list and no longer need to do outreach at all for your one to one clients. I still do outreach for my courses because that's a little different. But one to one clients, I kind of an eternal waiting list at this point, gratefully, because why? Because I've continued creating and repurposing, creating, repurposing since 2014, and the audience has only continued growing. And my cat agrees, because she's been here for the whole time, right? Seeing seeing my whole journey. That's what that's what you're hearing. So I let me. So now that you know a little bit more about the the business urgency, but also the soul importance of creating authentic content consistently. Let me now tell you about the Soul Gym Content Creation Program. I created this program because no matter how much I tried to teach my clients and students, no matter how much I yelled at you, please create content consistently, authentically, learn, practice it. It's going to be uncomfortable, but you have to practice it. Otherwise, you won't get stronger and more confident and more comfortable.  It was just me nagging at you every week to do it. It's I found it to be more or less not useless, but it was way too long. Sure, I might nag it. You might take me 10 years of nagging at you for you to find and get going. I said, you know, there's got to be a better way. So along with several of my dear clients and students, we created the Soul Gym Content Creation Community and Program to support everybody and finally getting going on at least weekly consistent creation. That is, to my opinion, a minimum. Yes, let me say that again. A good minimum for how often your audience sees you. By the way, your audience right now, it just might be your 30 Facebook friends. Maybe that's where you start, and that's your audience. OK, because I bet you most of you here have more than 30 Facebook friends, right? OK, that's where you start. You don't have a Facebook business page yet. Don't worry. You don't have a maybe you have LinkedIn. You have 10 connections on LinkedIn. That's where you start to. You don't have an email list that maybe you do, maybe you don't. But you start with whoever already you have their attention, whoever it is, your 30 Facebook friends. OK, a minimum is once a week. Really, it's a minimum, not once a month, not every now and then. When I get inspired again, one thing you're going to learn in Soul Gym, just like a physical gym, right? Typically people, people don't go to the physical gym consistently because they feel like working out today. The people who go consistently go because they know that once they show up and begin, then they generate the feeling like it. Well, I mean, another example, I didn't feel like starting this very video. Just like if you watch any of my videos, have you noticed the beginnings of it are not as powerful as the middle on the end? Have you noticed? Because the beginning, I didn't feel like being there. Like, look, watch all of my videos and you'll know. I mean, you know, except for the shorter the shorter ones, I make after I make my longer one. So so watch my videos that are about 20 minutes long. Go to my YouTube or Facebook. Notice beginning of it. I'm kind of like still getting into it. And then I'm like, make fake it till you make it a little bit in the beginning. Now, I'm not faking it, right? Well, George often to content house. But I'm I'm faking it in the way that I believe that I can generate. Low, I believe I can generate wanting to to to be here. I have a heart of service. I know that and I believe I can express that sometime in this next 20 minutes is what I'm I trust. So that's why anyway, that's something you're going to practice, practice, practice until it becomes very normal for you. Oh, yeah, I know. I know the first 15 minutes I write. I'm not going to feel like writing. I'm not going to think I'm smart enough. I have any ideas. I don't think this is going to come together. That's normal. That's what you get to practice in the soul gym, just like you might practice at a regular gym. Like, I don't feel like being here, but let me go ahead and get going on the treadmill. Let me go ahead and push some weights. Oh, you know what? I think I can I can feel that I'm going to get stronger by doing this same thing with the soul gym.  I could I'm going to feel you're going to feel. The ability to generate creativity on demand. And once you start feeling that you start feeling like you can do anything in the world. It's really that powerful. Like, oh, my gosh, I can I can create anything at any time, no matter how how much is going on in my life. OK, so let me tell you about the Soul Gym program. And the way I want to tell you about the program, actually, is using the words of the program members themselves. I feel like that's the most effective and true way of telling you about it. So let me go ahead and share my screen so that you can actually see the words of the members themselves. So you can see here, thank you, Susan, for writing this. Just wrote this two days ago, I feel safe in Soul Gym. What I mean, by the way, Susan gave me gave me all the people I'm sharing gave me permission to quote them. OK, what I mean is I feel safe to post whatever kind of content is on my mind, whether or not directly linked to my business, because you've got to practice authentic creating without an agenda of trying to build your business. You know, but let's set that aside for later when you at least feel powerful and safe to create. I feel safe trying out new ways of writing, expressing, talking about vulnerable topics. I feel the community, this community, Soul Gym has got my back and will continue to stand behind me as I grow in my business. I've met so many like-minded, beautiful humans here. Thank you, Susan, for being one of them. Next. Utah wrote, Soul Gym is like an anchor and advisor or reminder that's OK to go forward in my business step by step, safe harbor for sharing content ideas for minutes to slow down or empowerment and inspiration in a community of awesome and heart-centered people around the globe. And, you know, Utah gave me permission to do to share this. Well, and Utah says, I love the great and lovely support of my Soul Gym helper, Heather Tobin. So that's one of the things that you're going to discover in this course in Soul Gym is you get assigned a Soul Gym helper who is there to encourage you on a weekly basis. If you wish to, you can ask them how often to encourage you. But they're there to encourage you on a weekly or monthly basis to create again consistently again. There they'll be there to notice your post and to comment on them, etc. So so that's Utah. And then Heather, one of our Soul Gym helpers, thank you, says, I love reading a variety of posts to get to know about the person sharing. I enjoy the different categories, depending on my mood. I can take in a variety of topics that I feel reading about. Let me go and show you the categories that we have in Soul Gym. OK, we have, well, besides staff announcements and miscellaneous, a lot of people post miscellaneous because they they haven't decided how to categorize you. That's OK. You can do that. But we talk about animals and pets, art and creativity, authentic business and marketing, of course, career and work purpose, cultural, societal issues, death and working with grief, education and teaching, family of origin issues. I'm reading them because this is actually an alphabetical order. So health and well-being, joyful productivity and habits, leadership, money and wealth, parenting and birth. We actually would love some more content there. Personal growth, relationships and communication, spirituality and spiritual growth, spirituality and business. And then, of course, you can post questions about content creation, personal growth, et cetera. We actually do a lot more Q&A in our Soul Gym trainings than here in the forum. Here in the forum, people are practicing creating on a consistent basis. So what else does Heather say? I like the connections I've made. I like jumping on the Soul Gym calls when I can. So at this point, let me tell you about our calls. We have calls. And let me just go ahead and go to whoops. Com Soul Gym. That's how you find the program information. Did I type this incorrectly? Yes, I did. I didn't spell my name correctly here. All right. So be sure to spell my name correctly. Dot com slash Soul Gym. And let me go ahead and share with you when the calls are. So the calls happen every week, 30 minutes for each of the two major time zones. So there's America's Daytime in Europe every Tuesday at 8 30 a.m. Pacific, which is 11 30 a.m. Eastern and 4 30 p.m. GMT. OK, and then for the America's Evening Time Zone, which is also Australia and Asia, it's Thursday Tuesdays or Tuesdays at 5 30 p.m. Pacific, which is 8 30 p.m. Eastern, which is basically daytime in Singapore and Australia and other parts of Asia and Australia. So now what do we do during those 30 minutes? Let me let me tell you what we do. We let's see here. OK, so what we do during those 30 minutes is in the first 10 minutes, I give you a chunk, a little chunk, digestible chunk of content, creation and content repurposing training. So we're walking through what's called the authentic content flow course, which let me quickly summarize for you here, right? The authentic content flow is my flagship course, online course about how to create authentic and relevant, resonant content that builds you a true fan audience. So you're going to learn how to unlock your creative potential by doing consistent authentic expression, get over those blocks of creativity. Oh, I don't have enough time. My life is very chaotic. Really, so much of that is actually your brain being so genius and brilliant at avoiding creative discomfort, OK? Because your brain is so genius, it will give you all kinds of, it'll emphasize, it'll emphasize that you don't feel so well today.  Obviously they are, but your brain will emphasize that even when it's time to create. Your brain will emphasize that your parents are way more important for you to take care of than your creation. Yes, that's true, yet your brain will emphasize it, especially at the time that you have set aside to create your stuff. Because creative discomfort is real and your brain throws up all kinds of resistance. So we're going to talk about that. We're going to talk about the vulnerability hangover when you post. Have you ever felt that? I feel that all the time. When I post something, I'm like, oh my God, OK, it's out there now, right? What's going to happen? We're going to talk about that, we're going to deal with that. We're going to deal with dissolving perfectionism because have you ever said, oh, I just need to research a little bit more about this topic before I can write about it, before I can share about it? Or I just need to edit this more before I can post it. You'll learn in our program how to practice the speed of what I call stage one content so that you'll see yourself that, oh, now I really understand perfectionism and how to work with it properly, OK? We'll talk about how to organize content ideas. We'll learn the three stages of content and you'll customize it to your own process because each of us will customize it differently. You're going to learn capture, categorize and calendar and how to create your own process of doing so so that you show up consistently, right? You'll learn how to organize your content ideas, of course. You'll also choose the best format for your stage one content.  We'll talk about that and you will choose your own best format because everyone is going to, you'll know this will choose a little differently. You're going to plan your rhythm of stage one, two and three content. We're all going to do it together. You're going to plan your rhythm and actually use it in our Soul Gym. You're going to clarify your whole process of brainstorming ideas all the way to publishing. I have a process I'm going to teach you. Obviously, you're going to probably have a different process because we all have a different way of brainstorming and actually journaling publicly all the way to repurposing and getting our best content and sharing it again. So you're going to learn how to generate the best ideas. I have a whole catalog of top performing content ideas that I reveal in this program Soul Gym and technically I reveal it in my authentic content flow course which you get as part of the Soul Gym program. You're going to learn how to use that catalog for inspiration on a regular basis and how to balance, this is really important, free versus paid content. Most of you watching this, my guess is you don't have enough distinction between what content you put out there for free versus what content you sell. Most of you put out way too much free content, not, you don't put out enough free content actually most of you, but when you do, you talk too much about how to do this, how to do that. No, no free content is more about inspiration, context, setting, philosophy, background and inspiration that gets people maybe very, very big overview of the map of the territory but not how to get from point A to point B in specific ways. Anyway, we'll talk about that in this program as well and you'll kind of finally like have a clear separation and be able to do the kinds of free content that I think is much more effective at building a true fan audience. We will of course learn how to, oh, you'll experiment with how to create content from massive to miniature, meaning there are some really big ideas that you'll learn to practice creating, even a short post and tiny, tiny ideas you'll learn to create even a longer post. So we'll experiment with this because it's important to learn how to do this. You will track your content for greater impact because without tracking, you can't really do stage two content. Stage two content is where you take the best of your stage one and then edit it and then reshare it to other platforms that allow you to really grow your audience. My audience has really grown because of my stage two content, not because of my stage one. So you'll learn how to do that as well. I can mention stage two content is build you a true fan audience. Stage three content makes you money. So we'll talk about that in the program. Finally, we'll talk about growing your reach with a customized content distribution plan. I'm gonna give you 20 options. You're gonna choose maybe two or three of those 20 options to create your content distribution plan to actually have your content reach a lot more of the right people. The last thing I'm gonna offer you in this short video or not so short video rather is that you as part of Soul Gym, you get access to my joyful productivity course. Yes, this is one of my favorite courses to teach. It's one of my students' favorite courses too. So this is part of Soul Gym. You get this as a part of it, okay? You get joyful productivity is a suite of skills such as wellbeing practices, habit creation, how to do a morning review, how to plan your week, okay? How to do time logging for more awareness, how to unwind throughout the day and how to actually structure your quick breaks throughout the day, capture categorized calendar that's similar to what you're gonna get in Soul Gym, how to organize your information, all of your business information by deliverables. Obviously you learn how to do that in the program. How to create what I call a hat manual because in your business, you wear multiple hats, and how to have a structured written out process for each of these. I use the hat manuals multiple times a day. Many of my students have started doing that. It helps them feel a lot more organized. So you'll learn how to start a work ritual, how to work lightly, how to transition and switch context in your work, how to manage overwhelm, how to create healthy boundaries.  How to follow your calendar because you have a wonderful calendar. You wanna follow it, how to actually do that in a step-by-step way, in a gentle way, how to do end update processing, have inbox zero. I teach you this because I've been using inbox zero for years now. How to organize your to-do list because I've been, you know, expertly doing that, practicing productivity for over a decade, et cetera. So anyway, lots of things in the Solgium program. I think let me end by showing you maybe one more testimonial. Solgium has given me enough practice with showing up at a certain time to write. Now I'm able to write at a regular time, which I never thought was true before. Thank you, Christine, for that. Well, there are even more testimonials. You'll find them on the Solgium program page below or above this video, wherever you're watching this. Thank you so much for considering joining us. And I hope, no, if you have any questions, please go ahead and comment below. And perhaps I'll see you in the Solgium. Thanks so much.


Colorectal cancer is the third most common cause of cancer death in the world. Thankfully, the good bacteria in our gut take the fiber we eat and make short chain fatty acids like butyrate that protect us from cancer. We take care of them, they take care of us. If you do nothing to colon cancer cells, they grow. That's what cancer does. But if you expose colon cancer cells to the concentration of butyrate, or good bacteria make in our gut when we eat fiber, the growth is stopped in its tracks. But if the butyrate stops, if we just eat healthy for one day and then turn off the fiber, the cancer can resume its growth.  But what about the populations, like in modern sub-Saharan Africa, where they don't eat a lot of fiber, yet still rarely get colon cancer? They used to eat a lot of fiber, but now they're dying to centered around highly refined cornmeal, so low fiber, yet still low colon cancer rates. This was explained by the fact that while they may be lacking protective factors like fiber, they are also lacking cancer-promoting factors like animal protein and fat. But are they really lacking protective factors? If you measure the pH of their stools, the black populations in South Africa have more acidic stools. Lower pH means more acidic, despite comparable fiber intakes. As we've learned before, that's a good thing. We want alkaline P acidic poo. And that may account for the lower cancer rates. But wait a second, low colon pH is caused by short-chain fatty acids, which are produced by our gut vector when they eat fiber. And they weren't eating any more fiber, suggesting there's something else in addition to fiber in their diets that was feeding their flora. And indeed, despite low fiber intake, the bacteria in their colon were still churning out short-chain fatty acids like crazy. But if their bacteria wasn't eating fiber, what were they eating? Resistant starch. The method of cooking and eating the cornmeal as a porridge resulted in an increase in something called resistant starch, which acts in the same way as fiber in the colon. As a prebiotic, a food for our good bacteria is to produce those same cancer-preventing short-chain fatty acids. Resistance starch is any starch that resists digestion, is not digested and absorbed in the upper digestive tract, or small intestine, and so passes down into the large bowel, or colon, to feed our good bacteria. See when you boil starches and then let them cool, some of the starch can recrystallize into a form resistant to our digestive enzymes. So we can get resistant starch eating cooled starches, pasta salad, potato salad, or cold cornmeal porridge. So this may help explain the striking differences in colon cancer rates. Thus, they were feeding their good bacteria after all, but just with lots of starch, rather than fiber. Consequently, a high carbohydrate diet may act in the same way as a high fiber diet. Because a small fraction of the carbs make it down into our colon, the more carbs we eat, the more butyrate our gut bacteria can produce. And indeed, countries that eat the most starch have some of the lowest colon cancer rates. So fiber may not be the only protective factor. Only about 5% of starch may reach the colon, compared to 100% of the fiber. But we eat up to 10 times more starch than fiber, so it can potentially play a significant role feeding our flora. So we're talking about even non-resistant starch. So the protection Africans enjoy from cancer may be twofold. A diet high in resistant starch and low in animal products. Just eating more resistant starch isn't enough. See, meat contains or contributes to the production of presumed carcinogens, such as N-nitroso compounds. If you split people up into three groups and you put one group on a low meat diet, second group on a high meat diet, which includes beef, pork, poultry, and the last group on the same high meat diet, but with lots of resistant starch added, the high meat groups had three times more of these presumed of carcinogens and twice the ammonia in their stool than the low meat group, and the addition of the resistant starch did not seem to help. This confirms that exposure to these toxic compounds has increased with meat intake, and 90% was created in our bowel. So it doesn't matter if we get nitrite-free uncured fresh meat, these nitrosamines are created from the meat as it sits in our colon. This may help explain the higher incidence of bowel cancer in meat-eating populations, along with the increase in ammonia, neither of which could be helped by just adding resistant starch on top of the meat. So the deleterious effects of animal products on colonic metabolism override the potentially beneficial effects of other protective nutrients, so we should do a combination of both more whole-plant foods and less meat, along with exercise, not only for our colon, but also for general health.


Hello and welcome to another problem-solving session guys. So in this session we are going to take up this question which says that if in the given figure triangle EDC and EBA. So check triangle EDC. So EDC. So this is the triangle they are talking about EDC and EBA. EBA are similar. Okay, so let me remove these lines so that Yeah, it's clear, right? So these these are the two similar triangles. BEC is given to be 115 degrees C and EDC is 70 degrees C. So find out DEC. So all these angles are to be found out. So this angle X and Let me use another color to write this. So this is X Then what? DCE. DCE. So let this be Y. So we have to find out Y. What else? EAB. EAB. Let this be Z. Z. AEB. AEB. Let this be U and EBA. EBA. Let this be V. Okay, so let's now prove and find basically. So there are a few things which are clearly understood. That is X is equal to U because of vertically opposite angles. But let's start with this given thing. So triangle EDC is similar to triangle EBA. EBA. Okay, so this is given. So that means what? Corresponding angles will be equal. So angle E is angle E anyways. So angle D is going to be equal to angle B. Correct. Angle D is going to be angle B. So hence angle EDC is going to be equal to angle EBA. And EDC if you see in the figure it's 70 degrees. So EBA is 70 degrees. So hence we get V. Angle V is equal to 70 degrees. First one done. Okay, now similarly you can say now you can say in triangle, see in triangle EAB. EAB. So if you see 115 degrees in external angle, right? So angle BEC is equal to, if I write BEC, this is equal to Z plus V. And why is this? This is because of external angle is equal to sum of interior opposite angles. Isn't it? Interior opposite angles, right? So sum of interior opposite angles. So hence now V already I know that is 70, BEC is given that is 115. So I can write 115 degrees is equal to Z plus 70 degrees. Isn't it? So clearly angle Z is equal to 115 degrees minus 70 degrees which is nothing but 45 degrees. So Z becomes 45 degrees. Okay, Z is 45 degrees, no problem. So DCE is or sorry BAE. BAE is right. So hence we have completed this as well. So EAB. So this is angle EAB. Let me write this as EAB. And what else did we find out? EBA. So this is also done. So these two are done. Now since again, let's use the similarity. Since DCE triangle EDC is similar to triangle EBA. Therefore, what do we get? We can say angle C, right? That is angle ECD is equal to angle EAB and that is equal to Z and that we found out is equal to 45 degrees. Correct? So Y also is now known. Y is 45 degrees, right? So what was Y by the way? EAB. So we are done with, sorry, ECD, right? So DCE, this is also done. Okay, now what?  So clearly X is nothing but 180 degrees minus 70 degrees minus Y which is 45 degrees, and why is this? Angle some property guys. So this is because of angle some property of triangle. So that means X is clearly 180 minus 70 is 110. 110 minus 45 is 65 degrees. So we get X as 65 degrees and this will be equal to U as well. Why? Because of vertically opposite angles, right? So DCE and sorry DEC, DEC is done and AEB is also done. Both are same. So AEB and DEC both are 65 degrees. So all set, right? So I hope you understood this problem. So it was a very simple problem. We had to invoke some of our knowledge of previous grades of triangle some, angle some property of a triangle and external exterior angle is equal to sum of interior opposite angles. So these things you must remember. And using that and the concept of similarity, we could achieve the results.


Hello, and welcome to this presentation of the STM32-MP1 Security Architecture Overview. The STM32-MP1 Security Architecture is based on ARM Trust Zone technology. ARM Trust Zone splits resources between two execution environments, namely secure and normal non-secure worlds. Cortex A7 supports ARM V7A architecture with the security extension. It is at the root of the split environment. SOC Interconnect features security gates, also known as STUBS, checked for permissions at various levels of the SOC Interconnect at AHB bus and AHB2 APB bridge level and block any unauthorized access to security-sensitive resources. Trust Zone Memory Adapters, or TZMAs, support division of on-chip RAM and RAM memories in secure and non-secure regions with a granularity of 4 kilobytes. Trust Zone Address-Based Controller, or TZC, supports classification of DDR address ranges into regions with secure or non-secure access. Security-sensitive resources, Trust Zone Aware, have local access control. The security properties of components can be enumerated as Trust Zone-capable IP, Cortex A7 subsystem, including L1 and L2 cache, MMU and GIC with security extension, MDMA implements security per channel, DAP, Debug access port to secure debug via authentication interface, secure IPs, unconditionally secure or right-secure, secureable IPs, peripherals and on-chip memories which can be programmed via ETZ PC to be secure, right-secure or non-secure. Trust Zone Aware IPs, peripherals sensitive to security with some local features to become secure, non-secure IPs, memory adapters, TZMA. To segment SysRAM and ROM memories into secure and non-secure regions, TZC or DDR. To segment DDR memory in multiple regions with secure non-secure rights, note non-secure regions may be filtered per master according to its NSAID. This is the block diagram of the STM32MP1 security architecture. The key components are secure IPs which are unconditionally secure, these are ETZPC, ETZC and AXIMC. TZMA0 and TZMA1 use to define secure regions in ROM and SysRAM. Securable IPs, the security of these IPs is defined by ETZPC. Trust Zone Aware IPs, BSEC, RTC TEMP, MDAM, PWR, RCC, EXTI and GPIOZ. Access to non-secure resources by the secure world is always possible. Access is illegal when the non-secure world attempts to access secure resources. Secure behavior for illegal access are illegal accesses are always denied. A right access is ignored and a read access returned with zero. The options to flag errors can be either a silent fail, bus errors or interrupts. Default Settings There are no unique rules, but IPs are mostly non-secure by default. For TZ Aware IPs, please refer to IP description. Securable IPs and TZMA are secure by default with bus error response on illegal access. Securable peripherals are controlled by ETZPC DeckProt bits. DeckProt 1 to 0 bits are encoded as 0B00 secure, 0B01 right secure, 0B11 non-secure. Note, 0B10 is either reserved or used to control MCU. The DeckProt bits associated to secureable peripherals and to MCU RAMs are listed in this table. Securable IPs are Service Peripherals for Secure Application, USART-1, SPI-6, I2C-4 and I2C-6, Cryptographic Accelerators, Crip-1, Hash-1, RNG-1, System Peripherals, Sten-C, IWDG-1, BKPS RAM which is secureable with Erase on Tamper. And DDRCTRL and DDRPPHYC are made secureable if concerned by Trust Zone Address Space Controller or TZC. BSEC is used to control the device lifecycle, debug authentication, and to store secrets in OTP. BSEC is Trust Zone Aware, C-BSEC Training. BSEC is composed of three regions. Control Interface Registers, Lower OTP Shadow Registers, Upper OTP Shadow Registers. Read and write permissions are set according to OTP modes. Clock gating and reset control of a secure IP can only be modified by secure access. RCC provides a dedicated secure interrupt about clock security. RCC security is controlled by two bits. TZEN and MCK PROTS which are write secure. For more details see the Product Reference Manual RCC section. Power mode control of a secure IP must be modified only by secure access. PWR security is controlled by the bit TZEN from RCC. PWR security consists of preventing a non-secure write to change settings of VBAT and Temp Monitor, PVD, and AVD. Change the low power deep sleep and RAM low power settings. Change the backup domain write protection. Change the backup regulator, retention regulator, 1V8 regulator, 1V1 regulator, and USB 3.3V voltage level detector settings. Change the backup battery charging settings. Change MPU power control register settings and change the standby wakeup settings and flags. For more details see the Product Reference Manual PWR section. EXTI can protect sensitive events by restricting the access to control and configuration bits related to these events. Security can be activated per input with bit EXTI TZENR. Security prevents non-secure write access to change settings or mask and clear status of secure inputs. For more details see the Product Reference Manual EXTI section. Security is applicable only to GPIOZ. After reset all GPIOZ IO pins are secure. GPIOZ IO pins can be individually set as secure with the GPIOZ SECCFGR register. When an IO pin is secure all its IO configuration bits are write secure. Input to a secure pin cannot be redirected to a non-secure IO whatever its configuration. Output data from a secure pin cannot be replaced by output from another peripheral. Secure IO data cannot be redirected to non-secure IO. Non-secure IO data cannot be redirected to secure IO. For RTC functions alarm A, alarm B, wake up timer and timestamp can be individually configured as secure. RTC can be configured globally secure. RTC initialization and calibration control can be configured secure. Write secure RTC SCMR is used to control RTC security settings. A silent fail results from a non-secure access to RTC SCMR bits. Inheritance of RCC clock and reset control is attached to a resource. RTC is non-secure by default. Security settings are persistent in low power. The settings are reset only by backup domain POR and not affected by system reset. Interrupts control, masking and clearing inherits the security properties of the features the interrupt is attached to. The tamper control can be configured as secure. The 128 backup registers are organized in three zones. Zone 1 secure read and write only by secure. Zone 2 secure write only by secure. Zone 3 non-secure. TAMP can be configured as secure. Write secure TAMP SCMR register is used to control TAMP security settings. The backup registers zone size are programmable. Inheritance of TAMP clock and reset control is attached to a resource. TAMP is non-secure by default. Security settings are persistent in low power. The settings are reset only by backup domain POR and not affected by system reset. Interrupts control, masking and clearing inherits the security properties of the features the interrupt is attached to. MDMA supports 32 channels. A channel can be secured by setting the SM bit from MDMA CXCR register where X is the channel number 0231. The SM bit can only be modified by secure write secure bit. MDMA is a routing interrupt to secure and normal lines according to channel security attributes. When a channel is secure all its associated registers are write secure. The MDMA AXI Masterport propagates the security attribute of the corresponding channel. The debug access port or DAP is a non-secure bus master. The access to debug resources is controlled by the debug authentication interface issued from BSEC. For more details see the product reference manual debug section.


Okay, James Madison, in the case of deliberate, palpable and dangerous exercise of powers, other powers not granted, the states have the right and are in duty bound to interpose. Why are they in our duty bound to interpose? Because the power belongs to them. They simply delegated to it. They've created the federal government. It is the duty of the states to maintain the creation within its created limits. Otherwise, the creation becomes superior to the creator. In a position, Jefferson called it nullification of the other authorized acts of federal government. Notice he didn't say the lawsuit. Nullification. What is nullification? That is the states and the people proclaiming. The federal government is not our master. The states and the people are the masters of the Constitution. We do not have to and we will not comply. It does not require a lawsuit. It simply requires a declaration that the car belongs to us. We have the tribal deed. You have no authority to steal this car from us and sell it. And we will not allow you to do that. Jefferson says it's the rightful remedy that the several states who formed the Constitution, being sovereign and independent, like France, Spain and Italy, have the questionable right to judge of its infractions. And that a nullification by those soventies, who are the soventies? Of all authorized acts done under the color of that instrument is the rightful remedy. Some will say no to nullification. Why? They'll tell you it's not in the Constitution. They'll tell you the Supreme Court says nullification is not lawful. They'll tell you the supremacy clause prohibits it. But those who lived it said to disallow nullification would be an unconstitutional act of tyranny. The doctor which denies to the states the right of protecting their reserved powers. Isn't that what the 10th amendment says? Which would vest in the general government. Now this parenthetical is very, very important. He says it matters not through which department. How many branches of government do we have? Legislative, executive and judicial, right? So you're telling me the judicial branch is part of the federal government, right? Okay. Hang on to that. That's important. Because Calhoun is saying it doesn't matter whether it's the legislative, the executive or the judicial is going to assume this power. He says that is incompatible with the sovereignty of the states and the Constitution itself. The state remains sovereign as the 10th amendment declares, as the Declaration of Independence declares, as the Constitution declares, as the lead resolution declares. How can it retain sovereign if it does not retain its power? If the general government has whatever power it wants over the states. And if the general government has whatever power it wants to take, what is the purpose of the Constitution? See, to allow this transgression is completely contrary to the Constitution. Which means you have eliminated the basis for our federal union. So it's not in the Constitution. Well, yes it is. It's called the Ninth Amendment. The Numeration and the Constitution of Certain Rights shall not be construed to deny or disparage others retained by the people. What you have to understand in interpreting this, what our framers wanted us to know, expected us to know, was there was a great debate over the incorporation of the Bill of Rights. There was a huge argument over this. We did not have a Bill of Rights when we ratified the Constitution. It was something that they debated over incorporating. Lee and James Madison leading the way for the incorporation of the Bill of Rights among other things, other people within specific provisions said we must have a Bill of Rights, Richard Henry Lee said, to be a sentinel for the people. In those unavoidable periods of inattentiveness, they knew through history that people would become pacified in prosperity. They would become lazy in luxury. And Richard Henry Lee is saying we must have this Bill of Rights to be a sentinel. What is a sentinel? A guardian and a watchman. Does the sentinel have the power to defeat an army at the door? It does not have the power. Sentinels only usually one or two guys, right? The sentinel is the alarm to awake the army, right? The Bill of Rights is not there to protect your rights. The Bill of Rights cannot protect your rights. Can the Bill of Rights pick up a pen and write your congressman? No. Can the Bill of Rights go sit in your congressman's office and demand that every law passed is compliant with the Constitution? Can the Bill of Rights pick up a sword? The Bill of Rights is not a protector of your rights. The Bill of Rights was incorporated to be a sentinel, to be an alarm. The problem is if you don't know what your rights are, it's a silent alarm. Quick, pop quiz, you ready? Don't answer this question out loud because you must have a personal assessment of the answer to this question. Close your pocket constitutions. No cheating. No mumbling, no whispering, no mouthing the answer because your neighbor must have an honest assessment. There are five individual protections in the First Amendment alone. Name all five. I know you can't. You'll have to admit you can only name four. Some will have to admit they can only name three and a crowd this size. It's possible we can only name two or one, some of you. My question is then, if you do not know what your rights are, how do you know they're not already gone? It's an alarm that becomes a silent alarm when you don't even know what your rights are. Hamilton said, if we incorporate these Bill of Rights, it's unnecessary and it will be dangerous. He said, why do we have to tell the government to not touch something that we've never delegated a power for them to touch? We've only delegated war, peace, negotiation and foreign commerce. Why do we have to tell them, he says, for example, why should we tell them not to infringe on our freedom of press when we've given them no authority to touch our press? He says, if we do this, one of two things will happen, if not both. One, the federal government will say, you've made us a list. It's a great list. We don't want to make sure that there was a list that we wouldn't touch. However, this press thing, it's a little vague. It's its own importance on the list. We have to know what press is. And Madison said, what you will do by telling them that they can't touch the press is give them the authority to regulate it through the definition of that word. He said, it's impossible to define press and eliminate its destruction. What you do is the government says, well, this is press. We won't touch it, but this is not press. It's the right to regulate it. Did you hear Dick Durbin say, just the under day?  We know that Fox and AP, they're journalists. But is a blogger a journalist? Is a tweeter a journalist? He says, we need to ask 21st century questions about a provision that was placed in the Constitution over 200 years ago. You know what, I'm sorry, Dick. It's the first amendment, and I don't need to be a government approved journalist to get protection. But the very thing that Madison was warning, that Hamilton was warning about is it's coming before us. The other thing that will happen is this. The government will say it's on the list. You've made this list. It's a great list. We won't touch anything on that list. However, that one's not on the list. Nullification isn't in the Constitution, so it must not be a protective right. You see, Madison's solution to this great debate was the 9th amendment. He says, I can solve this problem in the ratification debates. He says, I can solve this problem that Hamilton has with the Constitution, with the Bill of Rights. We can put this in there. What does it mean? The enumeration in the Constitution of certain rights shall not be construed to deny or disparage others retained by the people. They all belong to us whether they're on the list or not. That's what the 9th amendment says. Not only that, if it's on the list, you can't do anything to it. You can't define it away. You can't regulate it away. Sam Adams says, among the natural rights of the colonists are these. First, a right to learn. Secondly, liberty. Thirdly, to property. Together with the right to support and defend them. Nullification is a natural right. Nullification is your right to support and defend life, liberty, and property. And it's right there in the 9th amendment. Say that and leave it. Right now? When we get back? Some will tell you the Supreme Court has the final say. But Jefferson and Madison disagree. Jefferson says, the idea that the general government is the exclusive judge of the extent of the powers delegated to it stop nothing short of despotism. If the Constitution is not the limitation of the powers of the general government, that's despotism. Why? Because he says the discretion of those who administer the government and not the Constitution will be the measure of their powers. The Constitution will longer be the limiting document that it was meant to be. It will only be left to the will of the sovereign. It's from Madison because Madison gets right to the point here. And this, Sheriff, you're going to love this one. Okay? Love this one. If the decision of the judiciary be raised above the authority of the sovereign parties to the Constitution, who are the sovereign parties to the Constitution? If the judiciary be raised above the states, dangerous powers not delegated, may not only be usurped and executed by other departments, but that the judicial department also may exercise or sanction dangerous powers beyond the grant of the Constitution.  That the courts have no say in that at all? He checked themselves out, which means now the EPA has unlimited authority to get in your house because they now have the unlimited authority to determine their own jurisdiction. That is a sanction of dangerous powers. But he says this. The ultimate right of the parties to the Constitution. Who are the parties to the Constitution? To judge whether the compact has been dangerously violated must extend to violations by one delegated authority, as well as by another, by the judiciary as well as by the executive or legislative. Is there any question that the Supreme Court is the ultimate arbiter of the Constitution? Who is the ultimate arbiter of the Constitution? The states. The supremacy clause prohibits it. Now, this is my favorite argument because it's the easiest to knock down. The other ones are really easy, but this is just a matter of literacy. Hamilton says in Federalist Paper 8 in 78, no legislative act, therefore, contrary to the Constitution, can be valid. I know we like to redefine the meaning of the word is, but you can't get much simpler than no legislative act. Contrary to the Constitution, can be valid. He says, deny this would affirm that the deputy is greater than his principal, that the servant is above his master and the representatives of the people are superior to the people themselves. Don't they believe that? Who created the Constitution? Who created the Constitution? The states did. Who created the general government? So, if the states are made inferior to the general government, isn't that the creation becoming superior to the creator? Don't we have a classification for that? Frankenstein, right? I'm getting a time signal. Here we go. Ready? The Supremacy Clause. The Constitution and the laws of the United States which shall be made in pursuits thereof shall be the supreme law of the land. No legislative act, contrary to the Constitution, can be valid because the Supremacy Clause says in and of itself the only way is the supreme law of the land is that if it is made in pursuits of the Constitution, you have to be illiterate not to understand that. That's why Hamilton said no legislative act, therefore, contrary to the Constitution, can be valid. Is that what you wanted? Do you understand now who created this Constitution? You understand they created a limited and defined general government. Who is the creator of the Constitution? Who is the ultimate authority for the power? The people have all the power to be delegated to the states. The states delegated power to the federal government to be an agent for them. The federal government is an employee of the states. And when your states refuse to make their employees do their job, you now have that authority. How can we get the president to quit making so many executive orders? How do we get the president to quit making so many executive orders? You get your states to refuse to enforce them. He can make executive orders like pets, candy, all he wants. They have no authority. He's stealing your car. He's got no authority to sell it. You just simply have to say we own the title deed and it's not valid here. Simply not valid. War, peace, negotiation, foreign commerce, that's all your federal government's supposed to be doing. Is healthcare in that? Is the environment in that? No, no. Is education in that? No, no. Is the Department of Transportation in that? No. Energy? Four years. Four services. Is the federal government authorized to do any of those things? Let me ask you something. When you take money from the federal government to do those things, you are relinquishing your authority. Does the federal government have any right to be in your sheriff's department? No. Don't take their federal money. You are becoming addicted to the government. Is there one that's more important? Yes. The Ninth Amendment is your most important amendment in the Bill of Rights because it is your title deed to absolutely everything. It gives you that ultimate authority. And not only that, it describes how the entire Constitution is to be interpreted. Second then would be the tenth amendment. One quick one. What is the seventeenth amendment due to this contract? The seventeenth amendment. How many of you know what the seventeenth amendment is? All right. Prior to the seventeenth amendment, our senators were hired by the states to represent the states. Your senators represent the states, which is why there are two senators for every state. How many of your senators realize their primary job description is to fence on the tenth amendment? What we did, the progressives of 1912. Do you know who the leader of the progressive of 1912 was? Teddy Roosevelt. The loved Republican president, Teddy Roosevelt, was the leader of the progressives of 1912 in which they perpetrated a lie on the people that the seventeenth amendment needed to have won. You see, prior to the seventeenth amendment, the senators were hired, appointed by the state legislators. There was no general election, which meant if the senators did not do their job, they were fired on the spot. There was no recall election. There was no nothing. They were at-will employees. Our framers called this the power of automatic recall. When we ratified the seventeenth amendment, we changed over to a popular election cycle, which gave them guaranteed tenure for at least six years. Our framers gave us automatic recall for a specific purpose. Richard Henry Lee tells us that purpose. The purpose was to keep special interest groups and lobbyists out of the federal government. When we moved to a direct election of our senators, meaning the people only had power to influence their senators once every six years instead of every single day their job being on the line, when we checked out, the special interest groups and lobbyists checked in. And that's why we're now controlled by special interest groups and lobbyists, because we believed a lie and exchanged our power for sleep. We're trying to move over to Charles and Steve, and we want to really hear from them, and we're going to try to save some questions for all of us at the last 15 minutes. I'm going to go about 10 now, and I'm going to give 10 to Charles, and we're going to just do body questions. What I hand to you is a copy of the Supreme Court decision where seven sheriffs are against the federal government. The two that ended up in the federal government. It was about what you do to me.   This is now for Christianity. Matt friends, when Scalia talks about jewels, spheres, one sphere is really before enumerated, you talked about war peace. But it's also a very small sphere. Correct. And so that's the voice he never made. But they're not. One is the universe, because it's everywhere. Correct. I even say that in my presentation. The two spheres that Scalia addressed in here, he just didn't reinforce the size that they're supposed to be. They're not even. Right, right. Yeah. So what Krasan just said, I mean, there's only these enumerated powers in Article 1, Section 8, and every sheriff needs to be familiar with that, because you have to defend your jurisdiction against anything outside Article 1, Section 8. So the federal government goes out those 17 assignments that dealt with war, and say it again, War peace negotiation and foreign conflict. That's all they get. And there are 17 things that are listed in Article 1, Section 8 that are out for those four things to happen. Anything outside that, you as a sheriff, it's war and constitutional guard. You have to stop it. Correct. And so that's what state sovereignty is. That's the only way. What did I show yesterday? The two words. What were the two words I showed? I told you not to forget that all of this is rendered express. Okay. Now that rendered express is in this little book you have. This is a highlighted version of the Supreme Book. Okay. Okay, good. Now, nine commandments. Scalia wrote this decision, and I've always loved him for what he did in this, but he's wrong so much as not even one. And he was wrong a couple of times in this decision because he said the state surrenders powers to the federal government. What does the 10th Amendment say the states did? Delegated. Delegated. Delegated. Which means, like Crescent just pointed out, that we're the boss.  You blew it, so I delegate it to we. We're here. That's his name. So, that makes me the boss. So I'm delegated to the federal government.  What do I do? I can take it back and protect my own headquarters. Right. And yet, no legal has permission from their courts and say, oh, G, I wonder why we lost that one. No, stop going to court and start doing it. Just start erecting the barriers. Now, what I'm giving this award is so that you read, there's a lot of these mainstream sheriff's skills and some of the mainstream legislators still that want to think that the Supreme Court has a court of 40 and that it has to go to court. It already has. You don't have to go to court again. A couple of dumb sheriffs, one from Montana, these 90 little sheriffs, one from Arizona, one from Montana, Prince, went all the way to the Supreme Court on this issue that they can't tell me what to do because, as she just pointed out, we're the boss. Got to mention that the question with this lesson is your ultimate shield. You can go to my website and get a written copy of this.  Print it out. It's five pages. It's not really big.


will talk about some results on minimal gravity. Это очень известный книжник полякова за молочкой. И я поговорю о каких-то континенциях, так сказать. Так что эта минимальная, так называемая минимальная гравития была изменивана и сочетана от демокнижника полякова и молочкова в 1987 году. И это очень важный случай, так называемый полякова за молочкой. И в этом случае это также изменивается гравития. В этом случае сочетание гравития является одним из минимальных моделей конформации полякова. И в этом проблеме, которая была открыта после первого книжника, была найдена сочетание функций гравития даже для геноз-зиро. Это трудно, потому что мы должны calculating какие-то интегральные сочетания с сочетанием гравития и обзорные какие-то специальные комбинации минимальных моделей, сочетания полякова и сочетания полякова. В таком случае только сочетание полякова. Это трудно, потому что мы должны интегрировать модельный сочетание гравития. Модельный сочетание гравития 8 лет назад, из-за того, как Олеша молочила на высокую эквейсию Льювилл Филдсери, в том числе, как мы работали с Олешей, мы обзорвали 4-пункта гравития сочетания гравития, которая была первая. Мы должны интегрировать модельный сочетание гравития. Но мы должны обзорвать и обзорить гравития сочетания гравития. И мы, вместо компута гравития, не гравития, а гравития-намперс, потому что это не зависит от позиции филды, а от интеграции. Мы можем компутать гравитию сочетания гравития. Это не зависит от позиции филды, а от интеграции гравития сочетания гравития. Это не зависит от позиции филды, потому что graduating constant lambda can be considered as coordinate on the space of perturbed, minimum gravity, level gravity. И еще. Это был в таком мутинге. Мы пытались компутить это cloudy by direct calculation of integral of motor space. Another discrete approach to two-dimensional gravity was invented by many people like Rizakov, McDowell, Kostov, Stohdacher, Bresnan, Douglas, Schenker, Gross. And in this approach, which is realized by integral over, through matrix models, we describe fluctuating two-dimensional surfaces like ensemble of graphs. And in continuous limit, we expect that these two approaches give the same result, не critical point. And in the end of the 80s, we discovered that the partition function in this matrix model approach satisfied to so-called string equations, also Cadeway equations. And the Cadeway times, Cadeway parameters of Cadeway approach T, MN, for Cadeway case, for Dickey generalization plays a role of perturbation parameters lambda in minimal gravity. And Douglas found that these dimensions, gravitational dimensions of these two sets of parameters in Liouville approach and in matrix model approach coincide. However, attempts to compare gravitational numbers itself, not only gravitational dimensions, showed that naive identification doesn't work. And this is the problem. In minimal gravity, we have a set of selection rules for correlation functions, for correlation numbers, which are inherited from selection rules conformal and fusion selection rules of minimum model of conformal field theory. Say one point function should be equal to zero, two point function should be diagonal, and then we have other selection rules, fusion. And so we have some restriction for if we compute correlation numbers of Liouville field theory, we have some restrictions for these correlators. So, how to reach? The problem is how to, is it possible to use Douglas approach? I mean, it's possible to conjecture that the correlation numbers and the generating function satisfy to Douglas-String equation, but correlation numbers are based restrictions from minimal, which followed from minimal model of conformal field theory. The idea to reach this fulfillment of the selection rules is the following. It was suggested, the solution was suggested many years ago by such as Malochikov, or Zyberkistadek. When we compute correlation numbers in Liouville field theory, we have to integrate of model space, and we met the problem of contact terms. And it is equivalent that the statement that there exists some non-trivial relation between natural, between KDW times, which are natural variables in KDW approach, and a constant Liouville field theory, Liouville minimal gravity, in which selection rules are fulfilled. And because of these contact terms, these variables, whose gravitational dimensions are equal, cannot coincide themselves, but has some additional terms. And appropriate choice of such change of these variables allowed this author, more Zyberkistadekher, to reach coincidences for one and two point correlation numbers in Liouville series of minimal gravity. But then, when after four point correlation function had been calculated, it became possible to make new explicit check against Douglas equation approach. And it was performed for the same series, Liouf series of minimal gravity in our work with Sasha Zomolochikov, and the full correspondence between Douglas equation, idea of such kind change of variables, get inside this was reached. The aim of the following work, which was done with Dubrovin and Muhometranov, was to generalize this result and check that it works also for other cases of models of minimal Liouville gravity. And analysis is based on the following assumption, that first assumption is that there exist in the space of perturbed minimal Liouville gravity, there is such special coordinates Tmn, which doesn't coincide with natural lambda mn, in which partition function of minimal Liouville gravity satisfies Douglas string equation, like it does in matrix model. Then the next assumption is the string equation define this coordinate, and this from partition function, or partition function generated function correlation numbers is nothing but logarithm of SATA tau function for dispersion less generalized KDW hierarchy KDW, or different hierarchy, with some special initial conditions, which defined by Douglas string equation itself. Because Douglas string equation is not identical to KDW hierarchy, but it includes also some initial restriction for initial condition. And the next assumption that KDW times Tmn related with natural coordinates lambda mn on the space of perturbed minimal Liouville gravity is by some nonlinear transformation. And we established the form of this transformation from the requirements that correlation numbers should satisfy the selection rules, which are in minimal models of conformal fields theory. And it was very useful that we use some very convenient expression for partition function of minimal Liouville gravity. We use to get this explicit formula, we use some relation between Douglas string equation and the Frobenius structure, which is connected with this equation. Okay, let me put some details. Minimal Liouville gravity consist of Liouville field theory, phi, and some metasector. In our case, it will be one of the models of KUPE, a minimal model of conformal field theory. In this model, we have the set of primary fields, which is called phi mn, which is enumerated by dots of cut table. And we consider this series Liang, the next one. In this series, we cut table consist of one or two rows, and we can choose this field due to, like, the set of primary fields. And we have the following restriction for operator product expansion, fusion rules for operator product expansion, which is written here. And we will use this restriction from projective invariance we have for the genus zero, also that one point correlation factor is zero, two point is diagonal, if dimension of the field in metasector, the net coincide. And for high correlation numbers we use fusion rules for product expansion, and together with these two rules result we get some restriction, which is written here, such kind. Okay, now, the gravitational sector in polycoff approach is defined through path integral or two-dimensionary matrix. And in conformal gauge we have, it's described by Liouville field with this action. And central charge, you know, it is conformal field series. Also Liouville field series with central charge is connected with coupling constant B, like it's written in these relations. And to define Liouville gravity we have to suggest that the central charge is metasector in Liouville field, the sum is equal to 26. And from here we get this value for coupling constant. Okay, observables in minimally Liouville gravity are created by a step writer. And the simplest observables looks like it's written here. They are integral of our surface. And OMN is a product of primary field of metasector and exponential field Liouville field sector. And it is one, should be one-one form. And from here we get this value for so-called gravitational dimensions. It depends on the field phi. Observables, OMN and from the bottle, Pico. These operators have the gravitational dimensions in terms of cosmological constant mu, like this. And they satisfy the same selection use like fields phiMN from metasector. It is definition of correlation number. And this is the generating function. Since to compute correlation numbers we should integrate over two-dimensional source, we get the problem of the following problem. When two or more points in this integral are inside, this contribution of such situation are not controlled by conformal field theory. And we can add delta-like contact terms. And this ambiguity is equivalent to possibility to add to correlation number. Some in other correlation number of different order. These contact terms also equivalent on the language of coupling constant to adding to such kind of change of variables. These terms respond to some delta-contact delta-like term. And so any addition of contact terms and such change of variables. We can restrict this change from dimension consideration. We can impose restriction that only such terms in this sum we can have, which has the same gravitational relations as the lambdaMN. It means that we can restrict it imposing this relation for terms of only such constant C are not equal. Zero if this relation is fulfilled. But however, it's not exclude such change because in minimal model we have because the gravitational dimension are some rational numbers. We have a lot of relation of such kind. So there exist different system of coordinates lambda and general minimal gravity and dogles. And variables in dogles approach do not coincide. And we can use this freedom to try to fulfill certain rules of minimal level gravity. So we will do in the following way. First we will estimate of free energy or partition function, generating function or correlation of numbers from dogles equation. And then we will choose such change of variables that selection rules would be satisfied. There exist explicit formula for 3-point and 4-point correlation numbers in minimal level gravity and in 3-point function. It's useful to normalize this 3-point function in the following way, such to do it not depending of the normalization. And it gives us possibility to compare the accelerators in minimal level gravity and in another approach comparing such accelerators which do not depend of the normalization. So for 3-point and normalize 3-point function we have this formula and for 4-point function we have this formula which was calculated using his high equation of motion in Liouville field theory. Explicit formula. And we will try to find these contact terms in such a way to fulfill selection rules first. But then we will compare also this 3-point and 4-point function where we can do it because in one approach from dogles string equation we can get any acceleration function principle but we don't know how to get up to now 5-point and more point function in direct approach. And doing this we will use selection rules. In dogles approach partition function of q p minimal gravity is described as follows. We take two differential operator p and q. p is differential operator of q small order u alpha of x is some coefficients of this differential operator which depends of variable x and also of times. And p is the second operator which is defined as a positive part of the differential operator which is defined in the brackets. And t k alpha e are cadaver times. It means that if we fulfill this is dogles equation and it follows also that if we define from this equation the coefficients u one say and u two and others they will depend of the times. They will obey evolution equation but this equation contains additional information about initial condition for our coefficient u alpha. And instead of using this equation because we are interested in genus zero we can take quasi classical limit and consider instead of commutator plus on bracket pq which you find like this. And instead of operator q and p we can consider the symbol. So we have plus on bracket of two function of variable p. p is symbol differential operator d. We have this polynomial. It's already polynomial of variable p. p is not the same number which is in definition of minimal real gravity. And we have to solve this equation. Plus on bracket pq is equal to one. This equation is equivalent to the following action. So the same list action principle of the list action which can be written like this. S is nothing but zero in four in point when p goes to infinity of this polynomial. We have this Laurent polynomial. And this denotation c alpha is the residue of this degree of polynomial not integer degree. Now we want to ask to find the terms which we should include in this definition. To do this we should do some dimensional analysis. I will skip it. In result we get the following identification of the dimensions. It's written above. Our times tk alpha is... should has... It's better. We will nominate... We will nominate this like tmn. Should has... Let me skip these details. This is the result. If only the finite number terms which is written here we have this degrees of our polynomial. Then variables tmn will have the same dimensions as the dimensions of the variable variables. Now these variables and lambda variables connected... We will suggest that they connected by such kind relation Each term in the right hand side has the same dimension like this one. So there exist some... Not so many, but there exist some terms. It is polynomial. In fact it is polynomial of lambda. The right hand side. And now... Now we will try to satisfy the selection rules. And for this it's useful to... It's convenient to use the following expression for generating function. In Douglas approach generating functions connected with solution u1 star solution of string equation like this. But it's possible to write explicit formula which is useful for the following analysis. To do this we use this connection between string equation and rabbin structure connected with it. Let the... Let i is algebra of polynomials model Q prime. Q is our polynomial which is connected with given... With given series of models. So we have... In this approach naturally we have series of minimal models instead of pq. We use the following limit lecturer. Here k is integer part of this ratio. p0 is... Reminder. Reminder, yes. p0. So p0 is... And all this series connected with polynomials q of sorry p, not this one. Which is... Let me... This is definition of our algebra. Our algebra of polynomials model Q prime is derivative. So we can define also... Define also linear form The space of such polynomials which is written here. Here is residual. And we can introduce some basis in our algebra. And c, alphabet, gamma is structure constant of our algebra. Which is connected with this bilinear form. G, big gamma. And this tensor c, alphabet, gamma, like this. And then we can... Then the statement is the following. That the solution of this equation. This equation, this relation. We can solve, so to say. This relation between partition function f and... Solution of string equation. And write this formula. Here we have this tensor. Which is obtained. We get got from structure constant. Of our algebra. We can compute structure constant. We get this tensor. And S is nothing but action. Which I wrote before. Let me show where is action. This one. So we have this formula for partition function. For generating function. First of all, it should... We have this integral over d u alpha. And this integral should not depend of the path. It means that this one form, differential one form should be closed. And also we should check that this Douglas relation of this form. Such defined by this formula. Partition function and solution of our equation fulfilled. We need to have this to check that this one form is closed. We need this two equations. It's nothing but associativity. Requirement associativity of our algebra. And also this recursive relation. Which for residues of different order. Which can be checked that they fulfilled. And so we have explicit expression for partition function. And we make some admissible change of variables. From kodewa to lambda. And we'll find simultaneously the form of this substitution. And correlation number step by step. 1.2.3. Consider a simple example. This case is kodewa, in fact. Case or liang series of minimal level gravities. And in this case we have our second order. We have a very simple form for our generating function. SU is such polynomials of the only variables U. It's written here. And we have, I use here somehow the numeration of variables T of times. And then we should to get generating function for correlation numbers. Because we insert this resonance transformation. After this we have our function. Generations function like some polynomials of variables lambda. Serious in fact variables lambda. And s is polynomial of lambda also. Derivative of action of these variables. And then we, all these polynomials looks like this. Like polynomials of variables U, which has some dimension. Cosmological constant mu, who also has dimension. And some numbers B, C and so on. Which are parameters of our resonance transformation. And we should find them from our selection rules. We have some selection rules, which is written here. It's some convenient switch of two dimensionless variables. And we have such formula for our partition function. And the upper limit X star is solution of string equation. It means that it's zero of our function Y U. And from dimensional analysis we can understood that our function Y0 and Yk.  And then they go polynomials of, which includes degrees of X with step 2. Therefore, it's convenient to use such change of variables X. We get another set of variables, which now are function of Y. New variable Y. And we get for one point in two point relation numbers, which we get above from our definition of partition function. We get the following two explicit formula. And it is one point function and it should be equal zero. When K is not zero. And this is two point function. It should be zero when K1 and K2 are not equal. And from dimensional analysis we know the order of these polynomials and this one. And I will skip. It's very simple. We arrived to this folding statement looking to this requirement, which falls for our selection rules. One point function should be equal zero. We arrived to the statement that Yk is nothing but Jacobian polynomials of such four. The result is something in this table. We get the Jacobian polynomials of this order, like this one. With how it is called. Нет, это пункция, которая... Нет, нет, нет, я имею в виду. We define Jacobian polynomials as... Как? Kernel. Remind denotation. So it should be zero if n is not equal m. So we arrived to this statement. If we can do it, it is done in general. So in the way which can be used in general case also for other series. But namely for this series, we could use another way of doing. And we arrived, it was done in our work with Sasha. And we arrived to Legendre polynomials. But Legendre polynomials connected with Jacobian polynomials like this in this case. Then we do it the same for 3-point function. And get other resonance terms. We get formulas like this for other terms, resonance terms in our action. And again we can use in such a way to delete all unwanted 3-point correlation functions. And then after this we can compare the result for non-venition correlation function. We get this formula for 3-point function, for normalized 3-point function. In this case we have this formula for... In minimal gravity approach. And we can get formula for 3-point... We get the same formula for in this approach, in Douglas approach. Then we do it the same for 4-point function. And we get some very simple explicit formula, which is written here for 4-point function. And again it coincides with the result of direct correlation. And at last we can formulate the general result for this series. In terms of the former language Legendre polynomials. It is a conjectural statement. Partition function for this series is equal to this integral. X star is a solution of this root of this polynomial. And Y is this series. Here we have Legendre polynomials of this order. Differentiated n minus 1 times. And it gives the answer for... It would be interested to prove this formula. It's very simple. I don't know how to do it. And I have to end the finish. The same can be partly repeated for the next series. We have due to connection with Froberian structure. This formula for generating function. And again we arrive to the following results. To compute 1 and 2-point unwanted correlators. We can choose in a special way the resonant change for this order. It's done. It's performed in terms of again of Jacobian polynomials. In the case of Liang case a series it was in terms of these polynomials. In the next case this polynomial. And for 3-point and 4-point we can... In the cases when 3-point correlators are not equal. When 0 we can result which coincide with honest direct computation. But there is some open problem I will skip. Thank you very much. I have some naive question. Long ago there was the following picture which we had of this minimum gravity. We said that in conformal fields here we have primary operators. We have secondary operators. And we interpret secondary operators as deformation. As halomorphic deformations of primary operators. And when we coupled to gravity these deformations become gauge artifacts. So they are not there. And we are left with algebra of primary operators. And it should be equivalent to some kind of topological field theory. Or matrix theory and so on. And so the picture was extremely simple or maybe simplistic. So what's the modern view of this? It doesn't make any sense this picture. Нас это случилось в таком направлении. По-моему, по-моему. Я думаю, что это должно быть. Потому что мы не понимаем такие простые слова. Я старался несколько раз. И я всегда загадывался. И я делал эту идею. И что-то другое. Спасибо. У меня есть вопросы? Я имею в виду вопросы. Это возможно, чтобы стать пилимом? Пилим? Пилим, да? Наверное, да. Наверное, да. Наверное, да. Также, я... Я имею в виду... Мы считаем здесь только... Очень простые. Очень простые. Какомологи, если интересно. Леонсу Керману. Да, вот что-то по-моему. Болезненно. Мои вопросы слезте, Саша.


Welcome to the sales enablement training on October 11th where we are discussing today how to use customer case stories. This is one of the biggest tools that we have in our arsenal for For sales and to help customers hear each other stories. Can you guys see my screen where we've got our outline for today's session. We can Perfect. Thank you. So as you can see, we're going to dive into three of our case studies today that are already live On our customer case story at the end. I've got some snippets of some previews of some case studies that are up and coming. They're just not public yet. So I'll make sure that's not recorded At that moment. So first off, our first case story is about ticket master and how get lab CI supported ticket master up to weekly mobile releases. So the core of this story is that Friday evening they needed to make a minor change to their mobile app. And they realized it was going to take two hours to get that done and instead they realized, wait, we've got get lab CI. Let's see if we can try this out. And as you can see here, they thought, no problem, you can build a release locally under three minutes, but because of their CI pipeline problems. It was really going to take Two hours plus that three minutes that it took so they decided to use their get lab CI And instead, we're able to then take the two hour process down to eight minutes. So as you can see, they can do their build and test in under eight minutes and also publish their artifacts less than eight minutes from commit to build test and to generate So they use other tools to help with code quality and whatnot, but the speed from that two hours to eight minutes. That's the key that we need to make sure That we are conveying is that get lab can help speed you up. Our second story is by axway And they were using subversion and they wanted to be able again, this is about speed. They wanted to be able to release faster. And so they onboarded 600 developers migrated 3000 projects and increased the speed. They're cycle time by 26% or 20 times 26 or something that used to take a year. Now takes two weeks. And as you can see, they and if you haven't had a chance to read these I highly highly recommend we've got 11 case studies on the website as we speak. So feel free to dive in use them. And as I mentioned, I've got more on the way. For this for axway it came down to best bang for the buck. They decided that get lab could give them the speed that they wanted at a price they really, really enjoyed. So let's make sure that we're sharing that story. They also had successful adoption. As you can see right here Eric mentioned he's like everybody was asking for it. Now every single developer is running on get lab without enforcement so high adoption rates happy developers. It's not the first time I've heard this today. Today I spoke with a different customer and then this morning or now we've got Paisler AG they switch from Jenkins to get lab and we're able to release four times more frequently. They updated their get accelerated from three major releases to to CD and monthly releases and they now can have Self-serviced QA sorry my slack is going crazy. They were able to solve some of their instability and performance issues with get lab and they were able to provide modern version control. And QA automation with get lab. So as you can see these stories are a great way to reach out and have them in your toolkit. As you can see here Greg champion says every branch gets tested it's built in the pipeline as soon as you commit your code the whole process kicks off to get it tested. The amount of effort involved is actually getting to the newest version and actually getting to the newest version you're supposed to be testing whether you are a developer QA engineer is minimized immensely so they can have everybody on the same page really quickly really easily which increases their speed. So they've also again it's an adoption story the developers are super excited to use get lab it's being used like crazy. And now there's a bunch of cool stuff going on with it. Everybody wants to jump on the bandwagon. Now I want to share a little bit about some of the upcoming case studies. So if you can stop the recording it's been wonderful to speak with everybody live but now.


Hi everyone, Sean with jaspyscasebreaks.com here doing 2021 break king premium edition soccer hobby 3 box case break random letter number 3 So the way this works 18 spots when we get to random letter from the list below We'll go by the player's first letter of his or her last name so Killian Mbappe would go to M for Mbappe If we pull a dominant Calvert Lewin, it would go to the C for Calvert hyphen Lewin Any letter not represented on the list we randomize to the group. So for some reason we hit something that's not listed on here We would randomize that to everybody in the group if we hit multiple. So first one would go to name on top of the list Second hit that wasn't covered by any of these letters would go to the second name on the list so on and so forth So we're not randomizing them as one lot And there's the list of letters from a through the combo spot of YV I end the note here is those letters a down to that combo spot and the list of customers from Jonathan McClay down to last spot mojo David Harrell Dice roll to randomize both lists and pair them up Four to three seven times. Good luck everybody Seventh and final time from scuff blackwell down to Jason Griffin Seven times on the randomizer Now seven times on the letters Seventh and final time from D down to a So seven times of the letters Seven times on the customers and seven times on the dice Scott blackwell with D. Pasquale, Pasquarella are Jonathan McClay E. PJ McNeely M David Harold T. PJ combo YV I N and O Brett Martin G. PJ McNeely F. Robert Ronkel P and L. Todd Reardon J. PJ McNeely S Niccova B. Peter Rosas H. Niccova W. Steven Pokoroba P or K Pasquale, Pasquarella C and Jason Griffin with a quick trade window typically people don't trade letters, but hey if you're into it want to go for it Very quick trade window for you far as speak now forever hold your peace trade when I'm going once One twice One three times Jay Mac has E up for trade they would like to trade for E specifically you've got like 20 seconds Maybe I'll and I'll process that Here's the case PJ has S up for trade Jay Mac is asking S for E for PJ L and P You have L and P okay, so Last try PJ L for S. If not, we're gonna go ahead and close it keep it going That's the last option Okay, so we're good. We're gonna keep it the way it is no trades tried to trade spots, but Here is the final list as it is no changes But we tried Good luck everybody Random.org has sealed your face Let's see what it's set up for you. Absolutely. Thank you guys first up is tops chrome Tammy Abraham out of Chelsea from 2019 tops chrome champions league PSA 9 So a is Jason Griffin with that Tammy Abraham and from tops living set Giovanni Reina UEFA Champions League living tops living set PSA 10 going to the R spot in Pasquale, Pasquarela Geo arena and Marcus Rashford another one for our prism world cup 2018 PSA 10 our Pasquale, Pasquarela It's getting a lot of shit right now. Okay awesome next up Ashraf Hakimi Rated rookie from 2018 Don Russ optic PSA 9 Spot H is Peter Rosas another Varusha Dortmund rookie in there and Neymar Prism World Cup 2014 PSA 9 That's gonna go to spot N Which is the combo spot PJ McNeely? Yeah, for sure Robert. I agree with you 100% I saw soccer just came out with a statement what yesterday this this long after And Killian imbappe PSA 10 2018 Don Russ for PJ and the M spot There you go PJ nice name are and imbappe for you But yeah, I saw Rashford his whole thing was he's like listen I could post all the comments with the people's usernames of all the nasty things they said to me He goes, but I'm not going to because there's too many young people that Follow me that don't need to see that crap. I was like good print soccer's so young too man Javier Hernandez 2014 Prism World Cup PSA 9 for H and Peter Rosas Kai Havertz Don Russ optic rated rookie PSA 9 for the H spot as well Peter Rosas Cristiano Ronaldo Chrome UCL Purple Refractor PSA 10 for R and Pasquale, Pasquarela That's numbered out of 250 60 out of 250 PSA 10 Cristiano Ronaldo to finish it off Very nice There you go guys. That is the break. That's our three boxes That was 2021 break king premium edition soccer hobby three box case break random letter number three from jaspyscasebrakes.com I'm Sean jaspyscasebrakes.com. Thanks for hanging out. We'll see you next time