Hi guys, so I'm going to keep it really local today and talk about Miami-Dade honors. They have a couple essays and we're going to get to how to kind of think about them in a thoughtful and effective way. Stick around. Hi, I am Dr. Josie. This is Write Your Acceptance. I talk about all things personal statements and college essay supplements. I will definitely give you the rundown today on Miami-Dade honors. Hit that subscribe button so you don't miss a video and thanks for stopping by. All right, so let's get started. So you're thinking about the prestigious Miami-Dade honors college and I'm going to give you the rundown on two things. We're ending with the essays, but the first thing is how do you qualify? And that's super important. I will kind of screenshot and link their website below so that you can have more information. But here's a rundown. Only first-time college students are eligible, right? So if you've taken dual enrollment classes or passing AP scores, that's fine. That's great. That's still considered high school. But if you have attended college in any way beyond dual enrollment, then you're not technically eligible. And so I'm going to rundown through some stats. The minimum preferred GPA is 3.5, weighted or unweighted depending on kind of your school system. So students should kind of hit the minimum standardized testing requirements and this is on their website. So you want to make sure that you have the most up-to-date information. I would call them an email, but they say, Reading 19, Math 19, English 17. They have SAT, they have Accuplacer, and they have PERT that will not be accepted. So you definitely, I'll link, like I said, the website, but you'll have that information. They will accept a score of 4 or higher on AP Spanish and Literature tests. Students who haven't taken Spanish before will be able to take the kind of translation tests that they have available to you. So that is kind of a rundown, general rundown on how you qualify to apply. Now into my wheelhouse, which are the essays. My mid-aid college, to be honest, is pretty close to the vest. So they don't really kind of have the essay prompts on their website, unlike other institutions. So I have pulled essays from previous students that who I've worked with and from a couple students from this year. So I'm going to tell you the ones I know for sure, and then I'm going to talk to you a little bit about the previous ones that have been around for the last few years. So maybe they're on the application, but I just, I don't have access to it. So if you have any questions on any of the essay prompts, you're not sure how to answer one or another that I didn't cover, definitely comment below and I'll give you some feedback. The first one is what is the most important thing you learned in high school? So this topic, if you consider writing on this topic, you want to think about more journey less outcome. How did you show initiative? How did you take ownership of your education? I've seen students write about kind of, you know, a five minute presentation on the Cold War turned into a semester long paper on, and then they talked about, you know, different sub topics, historical sub topics, an English paper on a nonprofit turned into like a volunteering gig for a year. So it does what you learn, what you identify as what you learned is the most important does not have to happen in the classroom. But I would say that you want to showcase how you have taken initiative and leadership and ownership of your education. So that what you've learned most important is not a what, but a how to learn, right? A how to find information on how to authentically and kind of thoughtfully engage with content and find more information and deepen your knowledge. The second option, what has been the greatest failure? What has been your greatest failure and what have you learned from it? So this essay is all about percentages. I would say you have 500 words, so I would say you want maybe like no more than a third on the obstacle or the failure. And then the rest of it is how you shifted your systems, how you adapted, how you changed, how you took action to remedy the issue, right? So and then maybe you can kind of like reflect toward the end about what you learned. Why was this failure? Sometimes failure is way more kind of productive of a lesson and we change more than kind of something successful or going great the first time, right? So maybe that success after 10 times that that experiment went wrong really taught you something or you appreciated a little bit more. So think about it percentages. I don't want you to spend more than a third of the essay on the actual problem because sometimes students will kind of start ranting and focus 400 words on the actual failure and then just leave themselves 100 words to talk about what they did. I want to hear more about how you changed, how you adapted and how you grew. The third option is if you were accepted to the Honors College but granted a year off before starting, what would you do? I would say you want to kind of think about what information from your life, whether it's an extracurricular or volunteer experience, can you expand, right? So sometimes I see a lot of students say, oh, I want to travel for a year, which is interesting or I would do something they've never done before. I think is most productive and we get to learn a little bit more about you is take something that you've already done but on a smaller scale, right? Because you can only dedicate five hours a week to it versus if you had, you know, 40 hours of a work week dedicated to this one project. So take something that you've already done, start with a mini story about what you've done, get into the middle of the kind of experience and then how you've worked through it and then the rest would be how you would expand it. How would you make this service project a longer, broader, bigger scope? That I think is most interesting and then something you've never done because we can't really see you in action, we can only see you imagining and it's a little bit more passive. Part of this application this year is which person in history do you admire? This is a great topic. I tell students, you know, history is in real time. So history happened a hundred years ago, but it's happening today too. So you can find a historical figure that's present, that's alive or in the past. Less important is who you pick and more important is kind of how you connect with them. What do you find of their life that is value forward thinking, innovative, that is admirable, that you kind of want to emulate in a certain way? I can see, I've seen students write something similar for another school, for another supplement, but kind of basically the same prompt about Rosalia and her music and her collaborations with different musicians in different genres. I've seen students write about politicians. If you write about politicians or someone in the political kind of arena in any way, make this as apolitical as possible. So I would not even consider writing about their record because you don't know the political kind of inclinations of the person reading your application. But I would talk about their grassroots efforts, their fundraising efforts, what you learned. Maybe you were kind of get out the vote type of volunteer and you did it under the office of a politician locally. That may be interesting and it doesn't get to you having to defend a political decision or kind of corner yourself into like a political foothold. So less important is defending that. More important is why this person, what about them is just so kind of interesting? And then these are sample essays from the past, but they have been around for the last couple of cycles. So I'm not sure if they're this time around, but I want to kind of give you some two cents in case they are. So what activities outside of your courses, extracurricular clubs, volunteer positions, community service, after-school jobs, weekend or summer programs are most important to you and why. So this is 900 characters and they give you the option of kind of all of these, right? So you can do a couple, you can do a few. I would not do more than three or four because you really want to give yourself the space to show why it's of value. So explain them, don't kind of force yourself into basically listing all of the stuff like it's a resume. It's not a resume, you have 900 characters and I would say quality over quantity. Show, share experiences where you have leadership quality, where you showcase initiative, where you can tell that story. And that's kind of, it's building a theme for you, which I think is a value. And the last few, please respond to both questions below. You should upload your responses to the questions in one single file and they should be 500 characters or less for each. So aside from your, our generous scholarship and challenging curriculum, how will the Honors College move you forward to your transfer goals of attending a competitive institution? This one is your typical why us essay with future goals, right? So you want to think about kind of, they have a great website that you can look at how the cohort system works, the kind of projects that they're doing, the courses that you can take. So really kind of showcase student organization, really showcase. I would double down on the community building aspect. It's such an interesting thoughtfully run program and students get so much out of it.  So really think about pinpointing a couple of the experiences that you could potentially have at the program. And then the next one is to what college or university you wish to transfer and why? So this is kind of, the first one is kind of why us Honors College. The second one is why NYU, why Michigan, why Berkeley? Why FSU, UF? So you want to kind of give them content as to why that school specifically. I would give them evidence base or another why us essay. I'm going to link that video above to kind of give you some road map guidance and further guidance and have a template actually in the description below if you need that as well. And so that really kind of should give you some scope as to the why us information. You really want it to be very research heavy. So you really want to show them that you know beyond the brand kind of evidence of their resources and student organizations and clubs and curriculum and how students thrive in these programs. And then the last one that I've seen is please share anything else you would like for us to know about you. This is kind of like a number of students who apply to my MIT Honors are also applying to other colleges and other four year institutions. So they have extra essays. I would think about what they're not learning from your candidacy. Is it community outreach? Is it identity and background? So what kind of element of your candidacy they're not like listening? They're not hearing in the rest of the application. And that's where this should go. Always showcasing your best self and how you learn and how you grow and how you adapt and you'll be good to go. I hope this was helpful. Give us a like please. If it was comment below helpful comment below any questions and I'd love to help you out. Have a good one. I'll see you soon. Bye.


Norville Pell that signing his official. What's the realistic expectations on what you hope he brings to the table? You signed a guy midway through the year has been playing his fitness levels ability to adapt quickly to the game.  So, you know, I think it's really a we'll see as we go here how well physically he's able to adapt to the playing in the NBA again after a little layoff. And get on up to speed and see if he gets an opportunity. All right, let's talk about Norville Pell the newest signing for the Brooklyn that 6 10 231 pounds from Antigua and Barbuda a Ford center 27 years old. He was a number one ranked national center in the country back in 2011 did not plan the NCAA was undrafted in 2013. It's been most of his pro career overseas averaged about 14 points while playing in the G League has played 24 games in his career with the Philadelphia 76ers last season. He's made his debut in November of 2019 pulling down about three rebounds and a little over a block per game. So he is aggressive on the glass that we're looking forward to seeing him in pick and roll situations, live situations, but an aggressive defender. And they hope that he can help them as far as their front court depth.


Welcome, welcome back for those which had joined before one hour ago. Here we are in the most glorious sunny Zurich, the most beautiful afternoon and when the afternoon outside it's this sunny and glorious. What am I doing with my life? I'm indoors talking about skincare but this for sure with a reason and this is just a pleasure. There is nothing I would rather do than being here talking about skincare today as we've been doing all the last recent lives talking skincare which is not only what's inside the pot but skincare which is best lifestyle options about sleeping, about nutrition today and everything which can educate us to take better profit from great skincare. So for everybody who is just joining from the US, from the following of our Dr. Paul which I would invite very soon to join. We are a Swiss skincare brand called Swiss Line and we believe a lot in skin biology, we believe in anti-inflammatory, we believe a lot that skin it's meant to be treated as an organ, an intelligent organ. So skincare is not just about marketing ingredients but it's very much about making healthy options not only the ingredients can be healthier but many options in our life and that's what we're going to be talking today. Two weeks ago we were talking about sleep, we have our Dr. Bruce, Dr. Sleep so you can find then in the recorded version you will find information about those links. We have added to our official Swiss Line website a lot of information about better sleep for better skincare and today the topic is healthy food for healthy skin, a bit of healthy hair even though of course our specialty is skincare. So I've seen already Dr. Paul somewhere there, here she is and everything will be more interesting from that moment on. There you are. Hi Ro, how are you? Good, how are you? We're doing well I think we have more sun in Switzerland than you have. Well I'm you know in a doctor's office so there's no windows so but it is sunny and it's beautiful here it's in the 70s so I'll take it. Someone has to work hard right not all the skincare people which is just talk talk talk like Dr. Paul. So I just think before you introduce yourself just to give some context to your audience in terms of Switzerland where we are here we were asking you to help us to understand so what better options in thermal food exceptionally with the idea of anti-inflammatory healthy options because we are very keen we have this line called age intelligence maybe in the end I think you have some surprises for your followers right yes so tell us to us and to your followers as well how did you become culinary doctor? Well thank you so much for having me I'm so glad that you know you wanted to have this conversation and to really go deep because I think there's a lot of conversations happening about skincare but to really like go deep into like how do we improve our skin from the inside out I just think it's wonderful so I'm thankful for that but my name is Dr. Lauren I'm a board certified family medicine physician I'm known as a culinary doctor and that's because I like to teach about food I believe that food is one of the most powerful drugs that we have and so we cannot talk about really any health condition without talking about what we're actually putting in our bodies so today I'm excited because we're going to actually talk about that with respect to our skin one of our largest organs that's great I mean we have third believers and I don't think we hear often skincare brands saying that skincare alone can only do as much right I think most right you were the first one I heard say that and I was you see I was thankful to hear it you know no but for us it resonates a lot I think for Swiss mindset when it comes to skincare because maybe the heritage of Swiss skincare it's closer to pharmaceutical industry has always been very close to medical clinics these regeneration type of medicine so thinking anti-aging not like specifically anti-wrinkle but global wellness so now that you know a bit more about you by the way someone was saying I love Dr. Powell's hair thank you nobody comments on my poor thin hair it's nice old man old man hair so tell us from your perspective just that we get these anti-inflammatory topic out of the way what do they say are the main bad guys the good guys to tackle this inflammation topic so I think we should talk about the bad guys first okay and I want to preface it by saying I'm not saying you should never ever ever ever eat these things I'm not that that person and you know when you tell someone what they can't have they always want it more so I'm always careful with that but I'm saying these are the things that we really need to be mindful of when it comes to our skin and specifically inflammation and I think the biggest thing is the sugary processed stuff okay there's just a lot of artificial things and it's super super processed you know I'm a big believer in reading ingredients and so if you read the ingredients and you don't know what it is that's in there or they have 37 ingredients it's probably like something you should be putting in your body but I want you to just be mindful of the super super processed sweets and treats that we all enjoy so the donuts and the chips and the things that really have no nutritional value they're just super highly processed and are super inflammatory and that's for skin that's for all things we just really want to watch that stuff and sometimes it's obvious right like like the donuts right we we know that that's like a super processed thing but I think we have to be careful about some of the hidden stuff like some of the cereals some of the the juices the healthy juices in the soda or the pop we have to kind of watch out for those things as well I think it's great what you say also about reading the ingredients you know it's something that's in our skincare community and that's a topic for another discussion but a lot of us most people become highly concerned about specific ingredients so when it comes to food very often you disregard the whole thing and when we think processed sugars most times they don't are they are not even called sugar yeah yeah they're called other things that's what you have to be careful because on the front right it'll say you know zero sugar or no added sugar and so then you just call it a day but that's why you have to really read the ingredients because sugar can come in all different forms and a lot of times they're in those strange words that we don't even recognize and so we we think there's no there's no sugar in this but that's why I really want people to be mindful of ingredients like if you don't recognize the word you you don't want to put it in your body right but if you can look at something and you're like oh broccoli what's the ingredients of broccoli it's broccoli right but like if you look at the ingredients of a tweaky I think there's over 17 ingredients and that's a lot of stuff and you know I'm a chemistry major and I don't even know what some of those things those things are I think examples could be that we are also creating a little bit of a blacklist I think a lot of like the fructose corn soup right maltodextrin maltodextrose right so those are bad guys anything corn normally in those many many many ingredients means sugar by different words right I think it's very interesting what you say like I always think about bread because bread is such an iconic I don't eat bread actually I don't eat a lot of carbs and sure no processed carbs but bread being kind of an iconic food bread is three ingredients four ingredients and I'm sure most of you if you check the bread you buy in supermarket sometimes you have 20 ingredients for bread so that's cake that's not bread it's so true it's so true like why is there so much stuff and something that you know is so simple to make I remember when I was always trying to pick um marinara sauce like to make spaghetti and I was like why does this have so much stuff in it like marinara sauce is pretty simple right it's like tomatoes some spices some herbs some garlic and that's when I started making my own stuff because I was going to the store looking for a sauce that didn't have a ton of ingredients um then I was like I'll just make my own because it's just too much like I don't even know all the stuff that they're putting in these in these processor pre-made things okay so we put sugar under the magnifying lamp as you say it's not to demonize and to say that you have to go through life without sugar but to be mindful correct another thing that we also when we spoke last time that I was also sharing with you is that a bit my personal journey going from vegetarian for decades I tried vegan for just a couple of years street vegan then I went back to eggs oval vegan now I'm much more omnivorous because I'm more on a ketogenic fasting and this is what really works for me but there's always this element of the meat where do we place meat uh is there a difference between meat of a good quality and processed meat right so definitely not all meat is created equal and so um that's why I said processed you know all processed stuff and that includes the processed meat and so I'm someone that I don't necessarily advocate for a specific diet but I say what you put in your body should be very high quality so if you're going to eat a burger let that be a high quality organic grass fed high quality meat you don't want to get your meat which is really the most expensive thing that you eat right like beans and then and legumes and vegetables are inexpensive generally the meat is the most expensive thing so you don't want to you know and sometimes it's hard to find a budget but you you don't want to go get a burger for two dollars you know how how quality is that like you you know it's not going to be a high quality yeah and when we're talking about inflammation I see a couple of people put comments about gluten and dairy those can also be inflammatory those tend to be person dependent so I don't want to make like a blanket statement that no one can have dairy or no one that can have gluten but for some people dairy can be inflammatory for some people gluten can be inflammatory and so I think we definitely have to listen to our bodies and that means not just how is my skin reacting to what I'm eating but how do I feel on the inside how is my mental state how is my mood do I feel bloated do I feel energy like we have to kind of listen to our body when it comes to all those things including the meat I think it's very interesting you say that you are not advocating because I think that's one of the problems probably we have in education and in our reality is that we are constantly sold these ideas of ideal solutions one fits all so the idea that vegan is healthy we can imagine probably ways of vegan which are totally unhealthy yes right because like hot cheetos are vegan and skittles are vegan so and coca-cola right and I think it even I think it even says gluten free on the um front of the on the label but we have to and you know when we were talking last time I thought about it when we got out the phone I've kind of had like a little journey too I was um keto for a while when I was in the end of med school and I was kind of getting ready and wanted to lose weight for my wedding and then for a while I was vegetarian for like a good stent of time um and I just feel I don't advocate again for one specific diet I think that we should do things that we can maintain and I think sometimes when we're super restrictive it's hard to maintain those things and so I think I you know when people say well what are you and what do you eat because I think everybody around me is like what are you like do you eat and I like to say I'm very plant forward so I like to lead with plants my plate is always going to be at least 50 percent my plate will always be at least 50 percent plants I eat at least one raw meal a day and that's something that's sustainable to me but I will also eat a piece of chicken every once in a while if that's what I want I love high quality seafood because I know we're going to also talk about some of the foods that are great for our skin and for anti-inflammatory and that's eating the rainbow and the way to do that is you have to have multiple colors you know some vitamin a and our vitamin c are amazing for our skin um and so you see that a lot of times in vegetables right vitamin a the precursor is beta carotene that's the orange stuff so that's going to be your carrots and your sweet potatoes which are going to be really really good for our skin the healthy fats are going to be really really great for our skin so you get that in some of the salmon and in the fatty fish one of the ways one of one of the codes then that idea of the rainbow I love that idea of the rainbow so one of the codes to make sure the plant based food you have on the plate to have those differentiated colors yes that I think that's just a way to keep it easy because I don't want it to be too confusing too many rules and people are like did I do it right did I not do it right did I not eat enough like eat the rainbow try to make sure there's at least three different colors on your plate switch things up like if you're if you if you're a grain of spinach don't have you know the only green thing you eat be spinach but switch it up try different greens try some Swiss chard so I'd some kale like switch it up exactly that's that's so refreshing like this idea of a green juice that you hate in the end and that's the only thing you were taking because you think that's the only thing which is healthy instead of because I keep on seeing people commenting like but sugar is so nice you know I also have to exchange with your eat the rainbow very often I say pick your poison right so there is one thing you really love beet chocolate yeah actually you can educate your taste buds to take 100% cocoa chocolate which then becomes an antioxidant bomb yes you see so guys already this idea of demonizing chocolate if you have acne often is the dairy in the chocolate the amount of sugar in the chocolate so you can pick your poison there is something you really love have that one thing yeah don't have pudding toffee breakfast cereals right as you were saying yeah that's true it's all about balance and again if you're super restrictive that's gonna be hard for you to maintain and then you're gonna go to the extreme of the other things so like today I really wanted some churros and the place across from us just like got these new bite-sized churros and we dip them in nutella I haven't had that in like forever but I was just wanting it so bad and so I talked to some of my colleagues and I'm like do you guys want some like maybe we could all share one order you know and so that's okay now I feel like I've satisfied that urge I'll probably won't eat another churro for like two years and I feel fine about it I don't feel bad my body's okay I don't feel guilty as I'm not Swiss I'm just working in Switzerland I'm gonna share with all of you guys those of you which you think because there is this idea that Swiss invented chocolate Swiss invented milk chocolate so actually chocolate should mean the old Inca South American chocolate which doesn't contain any sugar that's chocolate so guys there is a lot of pleasure ahead in terms but I strongly believe if we connect our brains with our taste buds it's not about restriction it's about self-discovery yeah when we spoke last time you were telling that you also firmly believe a bit of the spiritual experience of food like more local more seasonal maybe some thoughts about that the importance of yeah I firmly believe in eating seasonally so we should be eating what's growing in season because it's more likely to be local right so there's a reason why we shouldn't be eating mango all year round because it's probably not coming local so and also I always use I always use that as a way to kind of eat on budget too because oftentimes when you're getting things out of season they're going to be more expensive because they're having to get them from other places so I really do try to eat locally I try to eat seasonally with my vegetables and my fruit and then I really have an appreciation for like the food that I'm consuming whether it's you know fruit and vegetables whether it's a piece of fish like I'm so thankful to be able to like have food to have quality food and I want to eat responsibly so I'm going to pay more money for exit are you know from a local farm that were pasture raised and and I know that you know the animals that are supplying me with food were at least allowed to kind of live in a way that was respectful and so I feel that way and people make fun of me because they'll say how much did you spend on that butter and I say but they treat the cows very nicely there and so it matters to me and that really matters to me it's important to me and I feel like this food is fueling me and so I'm going to spend more money on it because at the end of the day you can always like make more money but if you don't feel good you don't feel well if you don't like the way that you you look if you you know you're you're not going to be able to do that I think it's it sounds very provocative but that idea that also to be on top of your budget so whatever your budget possibilities are that elements that sometimes if you always buy the cheapest option you end up not appreciating that food you consume more because you can actually add more volume but speaking of volume we all think that we gain volume right that we become fatter if we fat I think we hinge on that so what are the fats which are our friends are there any fats which can be yes so there's definitely fats that are good for you I mean fat like the healthy fats like omega 30 fatty acids are really good with supplying and supporting the collagen which is going to make your skin kind of nice and that pump and fullness that that we all you know want to yeah collagen is important yeah ever and ever um and so we get that from our healthy fats so the omega 3 fatty acids so you're going to see that in salmon and which is a nice quality fish tuna sardines mercuryl those are all great high quality fats um you know our nuts have lots of fats in them but those are healthy healthy fats as well yeah I think even though these are healthy foods I know you and I talked about this before we still have to be mindful of portions so like walnuts and sunflower seeds these are all great and full of healthy fats and anti-inflammatory but they still have calories so we do still have to kind of watch and make sure we're not super over indulging because we want to make sure that the benefit outweighs the negative of the calorie yeah yeah but that idea of of the fruits because I mean exactly as I say coming from the ketogenic fasting side of course we are very friends with foods I mean avocado being one which is less obvious as a fat source right I basically nowadays so I try to cook with coconut oil it adds too much of the coconut flavor sometimes the avocado oil or even the ghee if you eat animal ghee and butter as you mentioned which is very interesting grass-fed guys where do you hear grass-fed ever talking about cows I mean that that's a word to research and and and to think about so fish as you said the salmon tuna sometimes there is the risk the quality of the fish we can access me being Portuguese we know we come from the Atlantic sardines sometimes those small fat fish are safer because they are never farmed right they're not farm sardines so that's a personal choice I favor when possible those smaller fish which also from heavy metals unless you have a very good quality salmon yeah so this is not to depress anybody it's just to wake up that capacity that we can make choices for ourselves right and and then believe what we are doing yeah this is food as medicine right I mean it's just being mindful about the things that we're putting in our body what's serving us and what is not serving us and sometimes you just don't even realize about the options that you have with your food like I didn't you know you may not know that this fish I didn't know that sardines can't be farmed raised but that makes sense because they are such a small fish no they cannot yeah they need to constantly move they have a different biological demand so you cannot contain them they have a short life cycle so you are sure when you to sardine it's not a fish which can have absorbed heavy metals regardless of the quality of the water I just see again and again I think it's again the complement to your hair so any secret any secret food for stronger hair um well just so you guys know like you know hair is made from the same cells that make our skin and so the same stuff that's going to be good for your skin is going to be good for your hair I think everybody's hair is different so knowing kind of what works for you I think one thing we didn't touch on which is important for both skin and hair is hydration status so making sure you're drinking your water and staying super super hydrated is important um you have to have the healthy scalp to have healthy hair right because your your hair grows from your scalp and your scalp is your skin and so very much just making sure but all that stuff all that stuff matters all the same stuff for skin is the same stuff for hair I'm loving I'm loving that dr paul but just as also speaking to your audience you know I have a he's still very small youtube channel called age traveler you'll find the link yes yeah I've seen it it's good and I love what you just say because when you say that health for hair is scalp I mean I just did a video recently exactly about that because I always hear people talking about hair thinking the length of the hair and that's hair makeup it can make it look beautiful but it doesn't change the life of hair right so it needs to be the roots the good keratin the good hydration as you say the good ph so also the inflammation yeah comes in the in the whole equation so let's talk a bit about skincare can I challenge you what is your not brands we don't need to talk about brands so what are your skincare must-haves so a gentle face wash I think is super important and you know I have on a little bit of like eye concealer and eyeliner under eye concealer but generally I'm doing less and less makeup these days because I just really want to protect my skin and I want to make sure that the mask because I'm in a mask all day and so you know you've got the sting on your face and it's kind of like moving and then we have to kind of sometimes reuse our mask and so then I'm putting that same so I basically don't wear makeup anymore so I like and I say that to say I just invested a lot more actually taking care of my skin because I'm not really wearing makeup and so a good facial wash is super important for me I've really gotten into serums the last over the pandemic because I just had no idea how much they have upgraded my skincare game so like a vitamin C serum I cannot live without no you're right it's it's it's super nice brightener energizer antioxidant yeah when I started using a and I'm like being completely honest y'all when I started using a vitamin C serum maybe like after two weeks people started asking me if I was getting Botox because they're like your skin just so so tight and so bright and I was like it's literally the serum so definitely I use that you know every single day in the mornings and then another thing that has become so important to me is my moisturizer with a sunscreen I prefer if my moisturizer can already have the sunscreen so I don't have to remember and I just feel like because I have pigmented skin it kind of just tends to blend better versus if I have to put on moisturizer and then put on like that thick white kind of it just I always feel like it doesn't yeah the white cast it just means that you need to wear enough of it to reach that SPF I don't know have you seen the Guinness Paltrow yeah little video from Vogue which everybody's talking about I mean the highlighter application yeah you're not doing that no no I'm putting it all over I'm putting it on my neck and so I honestly generally I really like your moisturizer with sunscreen has like SPF 50 and I was so surprised like on my skin my melanated skin how there's it made it shiny like there was no white it was literally it made my skin shiny so I really like that yeah it's like you know we went about we have three SPF type of moisturizers and the idea since you mentioned it is to do them like veils so they actually come with a more almost like a makeup primer type of texture so if you have not such a dry skin you use a serum before very much you can get away with it alone if you have a drier skin you can apply it after your moisturizer and still have that no white cast type of the type of effect okay so you are vitamin C sun protection that's your yeah those are my biggest thing and like my dermatologist friends whenever I'm like girl what can I do to like look like a teenager my whole life I have just become and they're like sunscreen Lauren wear your sunscreen and they're like make sure you because I like to go for a midday walk while I'm at work and so they're like you need to be reapplying because you're probably sweating a lot of it off when you're when you're walking and so I was like oh I didn't even think about that so the sunscreen has been like a huge one for me I've used um topical retinoids from time to time but I haven't used one and probably like um I don't know maybe six or eight months but they're great too I'm a retinol addicted I do retinol there's one ingredient I never with my 50 years old it's retinol I can change the the source of retinol but I've never done a prescription so I do believe with the cosmetic level maximum one percent it's possible to have a proper anti-aging oh yeah I've all the retinols I've used have never been prescription strength even like I mean I can't write the prescription but they're so like good quality ones that you I mean you can get away with not you know using a prescription strength one so before maybe we try to answer one or two questions do you want to give good news to your audience to your followers listen you're becoming generous right so we have three products for them three products now I don't know the middle one I don't have that one I have I have the sunscreen I have yeah that's the sunscreen we're talking about that's the vitamin c as you were saying that you so that's 10 percent 10 percent very stable form of vitamin c which is like a sodium ascorbid phosphate so it's the sodium so that the water contact doesn't oxidize so fast and this is maybe one of our star products which is age intelligence essential serum so it's a mix of anti-inflammatory by the gas society probiotics from marine biology ectoene which is a pharmaceutical anti-pollution type of ingredient ATP so you just mix these three guys every morning so how are you going to actually use that serum at night time too yes yes it's 24 hours yes I'm aligning it of course if you want to take the good advice of dr paul of course I will try to sell you another one for the night but of course it's 24 hours you can use it both it's so good okay so listen you guys I'm going to give away um they told me yesterday make sure it's okay Monica told me I can give away two sets yes yes yes yes yes we are we are good we are good people listen and remind me this stuff is really high quality stuff what's the value what's the cost value of these three products I mean roughly like let's say roughly 280 300 US dollars yeah so very nice stuff so I've been seeing people going crazy in the comments so someone I saw in here that has been commenting like crazy is um Ashley Ashley so are you still here one go let's see let's see I'm going through the comments and I'm just very like using my memory to make sure that they posted on the post yeah in your questionnaire right the previous questionnaire T fritzi T fritzi okay so listen YouTube I want you to just DM me and then I'll make sure your information gets to them so we can get to your exactly you give us to watch so you guys we will get the parcel from Switzerland directly fresh from the oven fresh from the oven and by the way you know what I'm feeling I'm feeling that it's unfair as well not to make the same gesture to the swiss line audience so guys check the recorded version and Monica I'm sure Monica is listening to us Monica is our content manager so she's the one managing Instagram so Monica that's a challenge for you figure out offering also another set to the swiss line audience Monica you figure out the best way to do it okay so isn't this the best way to close Friday afternoon or break lunch this is thank you so much thank you so much no no that's a pleasure you know to share swiss line magic so dr lauren how can swiss line people find you I know you have a beautiful website oh yeah you can find me everywhere at dr lauren powell.com so you can find me on my website you can find me on instagram dr lauren powell um I hope we get to do more talks and chats like this I feel like we just kind of touch the surface we will I'm sure I'm sure I'm sure we will that's that's a pleasure so I think you should follow dr powell because it's the one doctor I've seen that you really put your hands in the kitchen so the content the content is not only like a teacher doctor sitting in the office with a white cloth it's the buddy doctor right yes advice from my side so I think also some of you swiss line you know me from dr powell I'm sure you didn't know me so there is dh traveler you'll also found it's down for dh travel which so far was only youtube I will begin this week as we speak to activate my instagram account so also to produce my little own content so wonderful let's keep the conversation I think we should not extend anymore unless anybody has so just one question one question so first question we answer before we say goodbye so who is the lucky one next question I see thanks so who is next one more to ask a question I hope it's a good question baby I'm throwing both of us under the bus no thanks for a great talk so nobody wants a question it was interesting as always thank you for the conversation so they are good you know they're all dreaming to get three products from swiss line nice dr loren such a pleasure so talk soon I hope next soon you have a great day youtube cheers thank you guys to everybody see you next time take care bye bye


First, we see today a few more closure properties of the class of context free languages, one operation which is called the string homomorphism. Now, this considers two alphabet, let us say sigma and gamma and string homomorphism is a map from sigma to gamma star. So, what it means is for example, your sigma is let us say 0 1 and gamma this alphabet is a b c. So, this is a map which is assigning a string of over gamma to every symbol of sigma. So, it could be that h of 0 for example, is a b c and h of 1 is let us say b b. Now, this h clearly extends to strings of sigma star to strings of gamma star. So, what we mean is that suppose I have this string 0 1 0. So, what we will do is we will apply this map h individually to each of the symbols in the string. So, to get a new string over gamma. So, h of 0, h of 1, h of 0 and these three strings are concatenated. So, in other words by definition what we mean is. So, this extended thing if I call it h dash which is a map from sigma star to gamma star. In this case is h of 0 concatenated with h of 1 followed by h of 0 because these are the three symbols each symbol individually we are applying the map h. For this example what we have h of 0 is a b c. Then h of 1 is b b then again a b c. So, clearly this map h dash h dash will map a language over sigma to a language over this other alphabet gamma. In a very natural way that is. So, in fact we can write this h of h dash of l is the set of all h dash of w such that w is in l. So, you can see h dash of l will be a language in language over the alphabet gamma. So, the closure properties is that if l is a CFL is a context free language and h is a map from sigma to gamma star and I should have said h if l in sigma star is subset of sigma star. So, that means the alphabet of l is sigma and h is a map from sigma to gamma star that is h is a string homomorphism. Then h dash of l the way we have defined h dash is also a CFL. So, one way of saying this is that this operation of taking a language applying h dash to it it is a unary operation. So, this operation does not take a context free language to a non context free language. Therefore, we say that any context free language or the class of context free languages is closed under this operation which is known as the homomorphism or string homomorphism. Now, this is actually fairly simple to prove why because you see l is a CFL. So, let us say g generates l and g is v sigma and now what we can do is we can consider another grammar g dash which is as follows we will say that this grammar g will have also these terminal symbols that is the symbols of sigma as non terminals. So, what would that mean? That means our non terminal for g dash is union sigma there is no problem in doing this and my terminal symbols because we are going to generate this language we are going to give a grammar which will generate h dash l. So, here of course it will be gamma the alphabet of this language l h dash l is gamma. So, therefore, the terminal symbol is gamma p dash and s. So, p dash is what we are going to do the idea is very simple first use the these productions p to generate a string from s that string will be over sigma. So, basically generate a string of l all right. So, from s we generate a string let us say w of in sigma star, but then sigma star is no longer or the alphabet sigma is no longer the these are not terminals anymore these are non terminals right. So, we just add these productions let us say for a in sigma at the production a goes to h of a right for each a in sigma we add these productions and. So, your new p dash this is fairly now simple to see what we are trying to do new p dash is old p plus the all how many productions are there is as many as we have symbols in sigma. So, for each symbol which is now a non terminal each symbol of sigma is now a non terminal of this grammar g dash and you can rewrite that with h of a which is a string over comma. So, what is going to happen the essential idea is that from s you will generate a string over sigma and now for every. So, let us say this is a this is b. So, here we will use the production h of a and so on h of b right and then you are going to get a string over this alphabet now clearly it is very easy to see the grammar that we have described this g dash is going to generate h dash l. And since this is a context free grammar therefore, h dash l is also a context free language. So, therefore it is very simple to see that if l is a context free language then h dash l is also a context free language which is what we needed to prove using very similar idea actually we can do something another closure property which is somewhat more general and let me explain that property and that property is called or that closure property or that operation is called that of substitution. Now, next property that we look at is substitution in case of substitution what we have is again two alphabet one is sigma the other is gamma and now let us see we have a language l over sigma right and what we do we associate a language over gamma for every symbol in sigma. So, let me write it down for every symbol a in sigma we associate a language let me call it a l a. So, for every symbol a we associate a language a l a over this other alphabet now you see in the same manner now we can take a string over sigma. So, let me again give an example. So, let us say sigma is 0 1 and now we so l 0 this language let me write it as a n b n and l 1 let me write it as a n b n. So, what I mean is this is n greater than 1 this is one language and this is the other language or let me just to make it point I am going to make I will say little later. So, m is greater than 1 n is greater than 1. So, we have these two languages l 0 and l 1 now the substitution a substitution essentially tells you first of all that this association of every symbol of sigma is associated with a language over gamma right. Now, so let me call such a substitution as s this particular substitution as s and now you see what we can do is if I if you take a string let us say a 1 a 2 a n right where each a i is an element of sigma in our case it is 0 1 that we said then I can get this actually defines a language how this is this set w 1 w 2 w n concatenation now these w's are strings whereas, these a's were symbols over sigma such that w i is an element of the language associated with the corresponding symbol. So, remember the way we associated we said a i is a i is some particular symbol. So, that there is some language associated with it and that is a l i that is the thing that we are saying. So, now what we have is I get a new string, but it is not just a string. So, here I can I could substitute for w i any string from this language. So, that is why it is a this this substitution of a string is now a language and substitution operation when I do this for a language l what is going what is it going to be it is going to be the union of in all these right. So, this remember this going to give me a set a language. So, it is to talk of this and what we are saying is that a 1 a 2 a m this string is an element of the language. So, essentially what we are doing is that for every string of the language l right on substitution I get a language and then we take the union of this language. So, now basically our theorem is that suppose for alphabet sigma l a is a context free language what is l a for each a in sigma. In other words what we are saying that suppose for every symbol in sigma the language that the substitution associates with that symbol is a context free language under substitution s. Then if l over sigma star is a c f l then so is see remember again that like string homomorphism substitution also is an operator which takes a language and provides and you know returns another language right. And what we have said or we are trying to assert in this that if each language that we associate with a symbol under the substitution operator s that you have defined is a c f l. And then you apply the substitution to a c f l l then s of l also is going to be a context free language you know it all this definition took a long time to explain. But the proof is again very simple and in this in the manners very similar to the string homomorphism case. So, now instead of saying you know previously what we did in case of string homomorphism that we just considered that elements of sigma to be part of the non-terminal set for the language which was going to generate the language which we obtain under string homomorphism. Here they will be the for every such symbol we will instead of generating a string we can what we can do is that we think of a generating a string for but where in that string for a we have the start symbol of let us say s of l a.  So, there is a start symbol for l a. So, let me just denote it as start symbol of l a and this was the association right. What we are saying that generate a string which will generate you know you start the derivation of l and then when you finish that derivation instead of getting a string over sigma you get a string over corresponding start symbols. And then use those start symbols start derivations from those start symbols using the grammars of l a etcetera to generate the other string this is a very simple idea and this is going to work. Now, what I can show you that once we understand this that substitution preserves context freeness this operation does not take the class of context free languages to anything else. Then certain things like all those concatenation union which we proved those operations to be for those operations the class was closed under the context free languages. For example, let us take this case we proved that if l 1 l 2 are c f l then so is l 1 union l 2 right this is one result that we had you know this you can prove very simply using this substitution idea consider a language very trivial language which is consist of two just these two strings a and b.     So, in the same manner we can show just using substitution that context free languages are closed under concatenation for example, or even cleanies star. So, all those things really follow from can follow from though we had proved them individually we can also see them as corollaries of this particular state a theorem that context free languages the class of context free languages is closed under substitute. We had proved that context free language class is not closed under concatenation. This means that it is possible that l is a CFL, but l complement is not a CFL. And also the other way similarly it is possible l complement is not a CFL or l is not a CFL l complement is then it would be nice to get examples of such pairs of languages that one is of that pair that pair is a language and its complement one is a CFL the other is not a CFL. And in fact the very first language that we had taken as the example of a language which is not a CFL what was that we said this language a n b n c n n greater than equal to 1 we know l is this l is not a CFL. We had proved this using you know quite simply our pumping lemma that we had proved and we know that this language is not a CFL, but what we can show that l complement however is a CFL. Now what is l complement if you see that l complement is really the union of two sets one is we can say l complement is l 1 union l 2 where l 1 is all those w's over this alphabet l 1 plus l 2 plus l 2 a b c such that w is not of the form a i b j c here we are not insisting that the i j k could be anything, but essentially this is not of that form. And what is l 2? l 2 is a i b j c k where either i is not equal to j or j is not equal to k. This is not too difficult to see. So you see something may not belong to this language because for a reason that it is something like let us say you know this string b b a a a b you know something like this. So in this kind of strings all a's will precede all b's and they will precede all c's. They come in a's then b's then c's will come, but if that order is destroyed then you get some string. So clearly that is that cannot be in the language l. So these are the kinds of strings which we you know these are the strings which form the language l 1.  Why? Because the complement of l 1 now l 1 complement is what? W is of the form a i b j c k, but that can be checked by a finite automaton that first all a's then all b's then all c's.   Now claim 2 and this is where the main part of our work is there is that l 2 is a c f l. Now since l complement is the union of l 1 and l 2 and once we also have we have these 2 claims claim 1 and claim 2 both l 1 and l 2 are context free languages. So remember that context free languages this class is closed under union. So therefore if both of them are context free languages then it has to be also context free language. So that is the idea behind this proof and I kind of give you the reason why claim 1 is true which you can convince yourself off. So let us try to prove that claim 2 which is that this language l 2 which is of the form a i b j c k where either i is not equal to j or j is not equal to k.  You can easily see that l 2 is the union of these 2 languages. So because every string in l 2 satisfies either this property or this property. So separately we are considering these 2 properties and then taking their union these languages therefore I am getting the language l 2. What we will show individually that both l 3 and l 4 each of them they are each of them is context free language and you can see that if I show for example l 3 is context free in the same way we would be able to show l 4 is also context free. So let us try to prove that l 3 is a context free language. We are trying to prove this claim that this language l 3 a i b j c k where i is not equal to j but you recall that we want i j k to be greater than equal to 1. So I am adding that also. This language is a c f l.  Now further claim what we can claim is that and we can prove this that l 4 and l 5 are context free languages. You see how we are making use of the closure property. Suppose I manage to show l 4 and l 5 are context free languages that is we prove this claim. Then what do I have that l 3 is also a context free language because it is a union of 2 context free languages. In a similar manner I can show that l 4 I am sorry I mean I used up l 4 here. So l 4 is maybe then I should use l 5 l 6. So this is l 5 and this is l 6 and then l 5 and l 6. So anyway the idea is very simple that l 5 and l 6 are context free languages. We need to prove this but suppose we have done it already. In that case l 3 will become a context free language because this is the union of 2 context free languages. So l 3 is a context free language. In the same manner very similarly you see l 4 is very similar to l 3 and l 2 is the union of 2 context free languages. After we manage to show l 3 is context free as well as l 4 is context free then l 2 is a context free language. But what is l 1? We said l 1 is regular therefore l 1 is a context free language. So we have proved l 1 and l 2 they are context free languages. Their union is l complement. So therefore l complement is also a context free language and that settles our goal to show that l complement is a context free language. This is one way of making use of closure properties of languages. Here we are using them to show that something is context free language and similarly you can sometimes use closure properties to show that something is not a context free language. But that example we have not seen yet. Let us just work on this. You will agree that if I can show you that how we can generate l 5 by a context free grammar thereby proving that l 5 is a context free language very similarly you can show that there is a context free grammar for l 6 also. And then of course we will be able to prove that l 3 is context free language. So let us see what is c f g for l 5. So what is l 5? Think of a typical string of l 5. So you know it is number of a's is strictly more than number of b's.   The number of c's so long it is greater than or equal to 1. So you see suppose what I have I have a start string s and this sorry start symbol s for the grammar for l 5 and then let me use let us say x and then capital C. So the role of this capital C is to generate a string of c's one or more c's. So that is very easy to do right. So c is either small c capital C or simply small c. So you know this is going to generate any number of c's at least one or more number of c's. So that takes care of this. With x I would like to generate this part of the string. What is that part of the string? That is it has number of a's followed by number of b's but the number of a's is strictly more than number of b's. So like in this case. But here what you can see is that you see there will be some number of a's then equal number of a n b n and this number of a's will be this is some other a n where n n are greater than 1. This language captures strings of this kind where the number of a's will be strictly more than the number of b's and this is fairly easy to generate right. We know. So basically x should generate strings over this language. So what we are going to what we can do? I can write x as y followed by z. What is the role of y to generate this initial part of a's? So y is again very simple. A y followed by a's. So it will generate one a or any number of a's. And what is z? z we should generate equal number of a's followed by equal number of b's. Number of a's followed by equal number of b's. Again we know how to do that right. So we can say a's z b's. So I can claim that this grammar which consists of start symbol and these non-terminals x, c, y, z and the terminals are a's, b's and c's right. So in fact let me clean it up and clean this what I am making. So let me say this is my set of productions and let me just rewrite it here so that they are all in one place. This is p and your grammar is therefore s, x, y, z, c. These are your non-terminals. Your terminals is of course a, b, c. This is the set of terminals. This is your set of productions p and of course the start symbol is s. This grammar generates L5 and if you are convinced that this grammar generates L5 then on your own it would be very easy to write a grammar for L6. So that proves this claim that L5 and L6 are context-free languages. Since L5 and L6 their union is L3 and each is a context-free language. So therefore L3 is a context-free language and in a similar manner we can prove that L4 is also a context-free language. Now L2 was L3 union L4 so L2 is a context-free language. So this claim is also there. Claim 1 was already you know we argued. So L complement is L1 union L2. Each one is a context-free language. So L complement is a context-free language. So what we have finally managed to show that L complement is a context-free language. So what is the point that I have a language L which is a, n, b, n, c, n. N is greater than equal to 1. This set of strings that was not a context-free language but its complement that language's complement is L complement which is we managed to show that it is a CFL. So here is a pair of languages. One is a CFL its complement is not a CFL. In this manner you know this is something very different. This behavior is very different from regular languages because regular languages are closed under complementation. If some language L is regular then L complement is also regular. But here since these languages, this class of context-free languages, this class is not closed under complementation, we have such a possibility. Having a pair of languages, one is a complement of the other. One is a CFL, the other is not. You know some, I think not in the last class, maybe the class before that, we tried to informally say what kinds of things are, what kinds of languages are context-free what are not by looking at some examples after we had proved the pumping lemma. And for example, I will elaborate that a little bit, that point. See consider this language L, W, W, R where W is a string over 0, 1 and by W, R, 1 just means the same string reversed. So, if W is suppose W is 0, 0, 1, 1, 0 then W, R is reverse. So, you start from here 0, 1, 1, 0, 0. What we said or what we are trying to say those, the language which consists of two strings such that one is the reversal of the other, then this language is a CFL, L is a CFL. Then you can prove it easily, I think we even wrote a grammar for it, but you see what is happening. So, you know, so let us just take this, this is W, R. So, this is W and this is W, R, 0, 1, 1, 0, 0. Now, there is a correspondence, what is the correspondence between, I mean pairs of symbols. This corresponds to, so this and this has to be same, is not it? Because you know W, you have reversed it. So, the first symbol of W becomes the last symbol of W, R. Similarly, second symbol of W is the second symbol of W, R and so on. So, do you see these symbols kind of correspond and in this correspond means here we are saying that they are same, it could have been different also, that is not the point. But the point is, you see these correspondences, the pairs of symbol which correspond, they nest, this is called a nesting, that this encloses, this encloses, this, this. I am saying this informally, but you understand nesting, might have come across in some other context. So, context free languages are very good in taking care of nestings, correspondences which are basically nestings that can be taken care of. Now, you see informally why A n, B n, C n is not a CFL. So, we can say this corresponds to this, of course this corresponds to this, this corresponds to this. We also wanted to say things like that let us say that this corresponds to let us say, suppose we say this, we know we are trying to nest. So, but you see these two nestings are kind of flashing, this is something we cannot take care of in context free languages. So, on the other hand if I had just one set of nestings, which we can take care of. So, this very something looks very similar, but yet it is not a context free language which is the following language. So, what we are saying that this language L consists of two strings. So, basically one string W followed by the same string W, you can take any binary string write it twice, you will get a member of the language L. Now, let me call it L 1, L 1 is not a CFL. Now we can prove this very simply by using pumping lemma, that suppose your pumping lemma constant for this language was k, then consider the string a k, b k, a k, b k and you will get a contradiction. So, it is easy to show this L 1 is not a CFL, of course we know L, L is a CFL and now in fact this L 1 gives another example that L 1 is not a CFL, however L 1 complement is a CFL and this is this is a this proof is quite interesting, which that is why I thought proof that L 1 complement is not a CFL, we would like to see this. What I am going to show which is slightly different from this language, but you will be able to show that we can take care of L 1 complement once we take care of that language. So, let me just say L 2 is this language x, y such that length of x is equal to length of y y such that length of x is equal to length of y and x is not equal to y. So, essentially L 2 is a set of strings, they have length even such that the first half is different from the second half, today we are running out of time. So, we will just claim or state what the proof that we are going to show in the beginning of the next class that L 2 is a CFL and you see my point is because L 2 is a CFL, then you will be able to prove that L 1 complement is also a CFL. However, this proving that L 2 is a CFL is quite interesting, which is what we are going to do in the next class.


Good afternoon sir and madam. I am Shrodi Chakraborty and I am a fourth year electrical engineering student at Kalyani Government Engineering College. Currently I am placed at Haldia Petrochemicals in the role of management training electrical with an average CTC of 6.5 LPA. Till now I have done 9 NPTEL courses which include Power Electronics, Electrical Machine, Control System, Network Theory, Signal System, Electrical Measurements and DBMS. I found these NPTEL courses very helpful in my BDEC preparation and also for the preparation of engineering and trans-exams like GIT and also for exams like engineering services exam and Spark and others. So I am very much satisfied with the quality of these NPTEL video lecture courses and in future I hope to do many more courses from NPTEL. Thank you.


We're taking deep breaths here in the booth. I can't imagine what was happening with you guys on the sideline. It was, again, we were a little bit lazy in the last end of the game, but I don't think about it now. We played a fantastic game. We created so much chances, so much speed, technique, understanding and teamwork in this team. So I'm so proud of them today to go 2-0 down, go up 5-2. Let's just say something about what kind of level we're at right now. Ronnie, this is the type of game I live for, so thank you very much for your team bringing that to my life. I needed a performance like that. It was energy, it was passion, some of the best football we have seen New York City football come play, and it also happened in the first half. You just didn't get the finish in the first half. That was what was lacking. What did you say to the team at halftime to inspire that second half performance? As you say, we create chances. We're going to create more chances now. They're going to be more tired, keep on switching the play, defend well. If you do that, we're going to get big chances on transition as well. And we did that. We opened them up time after time, so really, really good game. You mentioned about the comeback, Ronnie, but you may not be aware. This is the first time in franchise history that New York City has ever come from a two-goal deficit and able to get a victory. And how much did that first half, where the chances were almost there, lead to the comeback? It seemed that this was a team that was confident and still kept taking their chances and confident they'd go in. Yeah, you know, it's again, go out, do your job, keep on doing it, whatever happens, what kind of result it is.  If we didn't create, we will be more worried, of course, but when we had all the chances and just stay calm, do the same things, believe in the process, then things will happen. That's what the guys did in a fantastic way. Gaffer, I've got to say you're one lucky man to be in charge of this terrific group of footballers.  Obviously, you're leading the way, being the coach. But what is the chemistry like off the field with this group of players? They look like they are battling for absolutely every inch for one another. Yeah, it's like you just keep on building on everything last year. And one thing is important to understand is that this team is really young. It's had a lot of future here. I was three players, so older today, it rests us on the 25 years old. And that's a lot to build for the future. And right now, they're also really good. So it's fun to be a coach right now.