To je veliko prav, da sem tukaj tukaj, kako Kostja Khanin, sem tukaj, menej različi, na vsev 90. To je vse vse, da sem tukaj, kako sem tukaj, kako sem tukaj, Kuan Rivera in tukaj, tako, da sem tukaj, Ig globa and give a talk, and this will be, as you see from the title, a rather innocent topic, and I don't want to give a advanced talk, so I start with the definition, let me take this, I start with the definition, who was stated here several times already In pri konferencij skor, vse je to zelo to vse presa. Ne? Maybe I am talking... Ok. Now it's better. Ok, I will try to speak louder. I hear myself very well. So this is a standard definition. We have a continuous map on a compact matrix space and real continuous function. And we consider sums along blocks of orbits as n phi, sums of potential phi. And then we consider a metric rho n, which is maximal distance between blocks of trajectories. The one can discuss balls, but it is not necessary here. Maybe I should pay attention to people that the ball in this metric will not be connected in this exercise. Ok, and then there is a definition of pressure. Maybe I will use the pointer. I am not fluent in this. Does it work? Ah, yes, it works. Ok. So I consider such sums xn phi along blocks of trajectories of points, which are n epsilon separated. I take supremum over all such expressions and one nth log. And then there is limit because if epsilon becomes smaller then it is easier to have such sets, so it is increasing sequence. And analogously I can define, oh, one people define spanning sets and pressure via, topological pressure via spanning sets. And then these two quantities are equal to each other. By the way, they don't depend on metric because there is another definition which doesn't use metric, topological. Passing via this definition is very easy to prove this. So here at the bottom you have the inequalities, which become equalities when epsilon tends to zero. And note that the left-hand side in equality holds for all spanning sets and separated sets because if we have two epsilon separated set and also spanning set, epsilon spanning set then each point of the separated set has a free end from the spanning set, a closed point, but here is two epsilon, there is epsilon. So this identification is one-to-one injection. So the points, there are more points in the spanning set than the separated set. And to prove the right-hand side in equality I wrote here construction, but in this case it is trivial because if we have maximal separated set then it is also spanning set. We cannot add anything else because it is maximal separated. So we don't need to construct spanning set so that pressure is less equal. Pressure spanning is less equal, pressure separated because it is just the same set. Does it work? How? Does it work? Oh, no. Press it stronger. Another definition is via such supremum over invariant measures, probability invariant measures, entropy plus integral. So variational principle says that this is the same as previously defined pressures and I remind here what is majority entropy. This is just such a sum, it is written here in mu a log mu a where a belong to such wedge of partitions f minus j a. And notice, I hope most of all of you know that under the sum is sum of measure, log measure, there is minus before sum, it could be put after sum and we have in fact integral of the information function. One can change order, first take a limit at almost every point divided by n and then integrate and this is the same by Shannon MacMillan Bremer theorem. So entropy is just integral of local entropy. So in this lecture I shall discuss phi a little bit special, will be minus t log f prime mainly for parameter t bigger than zero and this is different than, harder than what I discussed before because f can have critical points and in invariant set I will discuss and then with positive t we have plus infinity, we might have troubles. And negative then the situation is also interesting but simpler, one can use perovrbeni operator. You take x, so this is the case, one puts weight zero in this operator in some places which brings to some troubles but it is not anything much new. So I will discuss two settings, complex and real. Complex is Julia set, I mean f restricted to Julia set and real is what we call with Juan River Aleterdier with which we elaborated this setting, generalized multimodal map. So the map is defined in the neighborhood of a set which is invariant for this map. We allow and even are interested in having critical points in the invariant set so that it is not just uniform hyperbolic. They are non flat, we allow inflection critical points and either we assume bounded distortion for iterates or we assume C3 after changing a map maybe in absence of parabolic orbits, periodic orbits. We prove bounded distortion that there is such a theory in particular developed by Sebastian Van Streen and Edson Vargas and other people. So we assume topological transitivity and moreover positive topological entropy. So our invariant set K is maximal in a finite union of pairwise disjoint closed intervals, hat i, whose we choose them in such a way we don't want too much in these intervals so we choose them so that the ends of these intervals belong to K and this maximality corresponds to Darbu property on pieces of monotonicity. It means that if we have between true image points, some point in K, then its prey image also belongs to K. It's clear that it's related to this maximality because if prey image does not belong to K, we can include it to K so that we don't have a maximum. So this is the same after some manipulations. This is the story about C3 and we try to make it other general, one can restrict the class a little bit by just taking multimodal map of interval and removing basis, immediate basis of attracting periodic orbits then what's left is called a Julia set so this is left in more general and an example of such sets are given by spectral decomposition say, Booge by Demelo and Van Streen where we have renormalization then what is left is such a set then we renormalize again and what is left is such a set we don't want entrance renormalizable situation and it varies on set because such set doesn't satisfy some conditions like positive topological entropy. So here, why this function and this pressure is called a geometric potential we introduced this name for the first time in the book with Urbański I use the location to advertise the book I brought it here from Cambridge, 2010 and justification is because such SN of phi, the special phi along block of trajectory is just derivative in power minus t0 so wouldn't be minus if we went backward and then it is just diameter of pullback of a large disk in power t0 and if t0 is chosen appropriately so that more or less sums of these diameters in power t0 over all pullbacks are more or less far from 0 and far from infinity are very close to one then we can distribute to measure like in the uniform hyperbolic case when these bn are roughly balls and then it's easier to prove if one remembers definition of Hausdorff measure and dimension and dimension is just t0 because this is just exponent to which we need to take diameters to have some number which is not close to 0, not close to infinity this is in definition of Hausdorff measure so this is the right exponent which gives Hausdorff dimension ok, now what happens in presence of critical points is that the same as before variational definition makes sense this is due to integrability of log f prime we have this as I said special class non-uniform hyperbolic sometimes called topological that all of exponents are bounded away from 0 and then similarly in the uniform hyperbolic case we have Hausdorff dimension of k equal t0 but in general t0 is not in Hausdorff dimension, but hyperbolic dimension it may happen that hyperbolic dimension is less and hyperbolic dimension is supremo of dimensions of invariant isolated hyperbolic subsets of k and this here k this is both complex and real situation and hyperbolic dimension as I told is defined it is written, but it is 0 of hyperbolic pressure to which I would go in a moment but you can guess that instead of all measures I would consider only hyperbolic measures exponent or just dimensions of hyperbolic subsets pressures of hyperbolic subsets here is the picture from my paper with Katrin Gelfert and Michal Rams this picture is accompanied thereby legend transform of these functions to get dimension spectrum for Lapunov exponents but here we don't need it so I put on one picture and you can see how the graph of pressure looks like as I already explained all these graphs are convex because this is supremo of fine functions my variational principle and here is t plus t plus is phase transition place where after t plus the pressure is equal to a fine function t minus t there may happen also another phase transition parameter t minus for negative t in which I am not interested here because we consider t positive only and what I will tell in a moment is holds for t between t minus and t plus where by definition pressure is bigger than linear functions which means that it is not that individual trajectories carry most of the pressure why I assume t I consider often t between t minus and t plus so that yeah so why don't pressure is bigger here I don't plan to talk about this on this lecture but it would be bad not to mention this theorem which is my theorem from my papers with Juan but there are many other papers where there are related results that I listed people above and this says that as I told for t between t minus and t plus for each t there is a unique variant equilibrium measure it's ergodic, absolutely continuous with respect to an adequate conformal measure so I just removed part of the theorem not to show it too long about existence and uniqueness of conformal measure which satisfies probability laws here and there are some assumptions in the interval case like interval and no, basically in interval there are no additional assumptions we assume topological transitivity here so we priori have kind of mark of partition or puzzle partition in complex case one needs to assume something which is expanding away from critical points which is automatically true for interval as it was referred to here already for complex case it is not so one needs to assume something and also some kind of mark of structure around not structure just but some pieces nice pieces which surround critical points so now as I may be not told but at least it was written in my slides if we have this potential minus t log of prime t positive then it doesn't make sense to consider pressure via separated sets because we could put points just at places where the function is infinite so and take supreme so instead we just take individual points and preimages you see here the same as before but why are preimages of x0 not just a set of an epsilon separated points so to some extent preimages of one point are separated in the hyperbolic case they are separated non-uniform hyperbolic or non-hyperbolic it is more delicate and as I wrote here in a while we shall discuss independence of this notion of x0 but we would need to discuss this also other definitions of geometric pressure and here is very useful is hyperbolic pressure which I already mentioned before saying you about hyperbolic dimension is very zero hyperbolic pressure is a supremum of pressure over compact invariant subsets of k or Julia set k and interval k is Julia set complex k case and I explain here what does it mean I explain what does it mean that subset is hyperbolic or expanding which is standard with expansion rate so I think I use it this notion on previous slides already so order here is not the best one and here comes very important notion notion of a point to be safe or safe with respect to critical trajectories it means that safe means that a point is not trajectory of critical point but it is also not fast, not exponential accumulated by critical trajectories it is written for every delta forward trajectory is bounded away by x minus delta and I mean block of forward trajectory for j between 1 and 10 and as these boards we avoid by critical points shrink and number of them with n growth linearly then of course household dimension and even other dimensions with other gauge functions are zero so this is very small set and in the complex case for every complex so could be k instead of k maybe it would be better to write j of f but as I wrote before k is j of f this 3 pressure for every safe point is hyperbolic pressure and maybe I will go back to this in a moment maybe I will no, no, I will not jump into these slides so it occurs that in the real case it's also true which is not a big step compared to what we had before but it needs some additional observations before we assume it's something else to know that 3 pressure is independent what is weak isolation definition is at the bottom it means that if we have periodic point close to k then it is inside k periodic trajectory inside a small neighborhood of k then it is k, it is technical and has other equivalent definitions and it is technical because when doing shadowing we capture periodic orbit we want this periodic orbit to belong to k this is about interval k a priori it need not be true it's weaker than the set is isolated and examples are just sets from spectral decomposition so there is another definition what does it mean, a point, not a set a point is called hyperbolic if you can exponentially go to large scale without capturing critical points so fn maps injectively the pullback of a large ball to large ball and then the quality between 3 and hyperbolic pressure for z-safe and hyperbolic can be proved by shadowing argument and this was already in our paper in Stas Mirnov one can make this ball x minus what let me write like this and then after time like small kappa times n it is a big ball here we don't have critical points do not hit I mean forward orbit till time n do not hit this or even to time slightly longer than not hit non-critical pullback and then finite time allows us to close this so this is how we capture hyperbolic sets so hyperbolic pressure is bigger than 3 pressure if we have 2 properties safety and also hyperbolicity of a point so it was not clear before whether in the interval case this hyperbolicity is needed or not needed the opposite but if we have both safety and hyperbolicity then there is no problem the other inequality is trivial if you have hyperbolic set then when you consider 3 then 3 towards the hyperbolic set gives pressure like pressure on the hyperbolic set there might be some additional branches but this doesn't matter for this side we call it here I refer it to Katoka argument because if one has hyperbolic invariant measure with positive level of exponent one can make by using kissing theory the same type of construction just regular backward branches in inverse limit and after short time closing everything to capture periodic orbits or hyperbolic sets ok, so then as I already told for safe hyperbolic there is no problem but we need to know that pressure 3 pressure does not depend on if z is only safe it makes sense to prove such things because there are almost everything almost all points are safe so here some additional assumption about periodic parabolic points I don't want to involve in that so in the complex case it is sufficient to have this property safe because if we have two points as it is written here one is z1 and z2 and if we have a set w which in application will be just union fj crit j from 1 to n then you can find a sequence of disks omitting w such a chain of disks so that twice bigger disks are disjoint with w infimum is called in fact quasi hyperbolic distance in the plane minus w and then the number of these disks is square root of m there is also square root of log 1 over r but if I a priori assume that these points are within some distance log of 1 over distance is much less is much less than m then it doesn't matter when I take backward trajectories corresponding backward trajectories disk we have bounded distortion so together distortion is bounded by constant in the power root of m so we have comparable we have sufficiently comparable derivatives giving the same pressure in the interval case you cannot do this because there is no space no room for such curves so we need to find another proof of independence of this 3 pressure on the point this is, I call it this lemma qh because of this quasi hyperbolic now so crucial notion in these things is backward Lapunov stability that if you have sufficiently small disk then or interval then preimages are also pullbacks are also short if you start with delta it doesn't grow more than epsilon then in the complex situation it's not always true so we have some problems there in the interval case in absence of parabolic orbits it's true in the interval case, due to our assumptions we don't have wandering intervals it plays a role in all these things so how we do in real case we just need to take any point w and compare it with another point, but if we have another point just z, we can take preimages up to some time capital N, some constant so that preimages are delta here delta divided by 3 dense so that further pullbacks are all the time shorter than epsilon this is first we find delta and next we find this capital N so from one point we get some net of points and then there are two cases either a point w which we want to compare pressure tree of w we want to compare with pressure for z or its preimages z1, z2 either w is between two such points and then we pullback this interval z1, z2 and what can happen there is a procedure but I don't have time here this was first written by Juan preprint I don't know whether it is published preprint is from 2012 and then we repeated this procedure in our paper with Catherine Michał, we just pullback when we capture of course we pullback twice bigger interval but we control distortion we pullback we capture critical point then at one step we lose constant factor only when we compare diameter with derivative then again pullback until we but twice bigger interval captured critical point etc and as I wrote using bounded distortion we prove that if we take zn situation is that this is one of points in the boundary of pullback the problem is that if we pullback then it may happen something like this this is zn and here is zn prime so here we can have preimages of the same point zn means one of points which bound pullback we don't know to which of the original z1, z2 it goes after time n nevertheless first we can compare derivative with ratio of diameters of pullback divided by original we can compare diameter of pullback of slightly different interval v not w but it is v s kind half of w and we don't capture critical points at all if we pullback not large interval but x minus delta n size interval so derivatives comparable to ratio this ratio includes big interval which is x minus t epsilon1 but this epsilon1 is close to zero so it doesn't influence there is another case when a safe point bounds a large interval gap in the complement of k it is not between two delta close point z1, z2 but then if it is hyperbolic then we had before some finite set of preimages of z and then we can take further preimages after sub exponential time we are already, well this is comparison of exponential rates if the point is repelling then in fact instead of z1, z2 we can take some preimages but not for after very long time and have good situation don't have time to involve too much because we have another topic to which I have how much time, five minutes two, so another thing is pressure via spinning sets and here it indeed occurs to be the same but we need to assume something you see, we assume weak backward Lapunov stability so instead of pulling back large disk we take x minus delta n size of the disk and such a disk and we can assume that such a disk after time not bigger than n it does not grow it grows and grows sub exponential pullback and then if we assume this we obtain disk quality star and this weak backward Lapunov stability holds for example if we have only one critical point in Julia set because Lapunov exponents such a point must be non-negative lower Lapunov exponent and this is my result so here is under some assumption and again to compare derivative and diameters we need shrinking neighborhood technique which is when you pull back only substantial captures of critical points count you trankate each time some small annulus so that series of modularity of annularity so that something is left this allows to compare derivative with ratio of diameters so so we instead of comparing the spanning pressure with 3 pressure it is sufficient to compare with hyperbolic pressure we already know that 3 pressure for safe point is the same as 3 pressure for safe and hyperbolic which is the same as hyperbolic pressure and here it's written that ok, we have 3 and then ok, we have balls which are around ok, there are balls of diameter x minus delta and I will not read it of lack of time and these balls don't can be pulled back well by this week annularity and these pull backs give me their origins give me this I need to build this construction needs to build it's an epsilon separate an epsilon spanning set and then there are points which I have troubles then if Julia set is connected then I can take points on the boundary of pull backs if not then we use uniform of the fact that Julia set is uniform perfect which means cannot be cut by annularity separated by annularity which have too big modularity and this is in the interval case here I have troubles because of if I build spanning set this is here this all is the same comparison with hyperbolic pressure to construct spanning set I need to somehow take an account parameters of points which are close to large gaps and then there is a problem because if I have a point here is a gap and if I have such a point then here is my point which is safe then when I pull back it might happen unless we assume K just equals the whole interval not the counter set then it may happen such that this point is not it might happen that in the pull back we have such a situation and instead of parameters of this point we can get parameters of this point and then we don't know what is 3 pressure of this point unless this point is safe then 3 pressures are the same so here there are some troubles I think my last slide is this thank you


Hi everyone, Joe for Jasper's case breaks calm come at you another one box break of 2016 2017 panini select soccer Random country break number three. We go by that group rate checklist calm checklist And only numbered cards relics autographs and inserts will ship. We will ship, you know Polisic cards Ronaldo cards messy cards, and I guess Marcus Rashford Cards are doing all right on the secondary market. So we'll send those out, too I'll pull them. I'll try to remember to pull them if I don't sorry. I apologize. You can yell at me next time All right, so only Josh and Brad are in the action here. Let me grab that list of country I don't think I grabbed the list of countries here Argentina down to Wales. Oh I did grab the country. It's just not the names. All right one spot gets you to so let's double you up And let's roll it. Let's randomize it two and a one three times easy After three we got Josh down to Brad three times for the countries one two Three very easy two and a one three times Poland down to Italy. All right, so how about we do it this way Bradley you have everything except for Except for Poland Ireland Uruguay Turkey Mexico France and France We have everything else Josh you have France Mexico Turkey Uruguay or Ireland Poland Let's sort this by column B. It's just easier that way Brad There you go.  I don't know any trades You know maybe maybe Brad's like not a fan of Iceland, but I'll see I'm a fan of you know, no Josh has no trades All right, let's roll Thanks, you too for getting into the action appreciate it trade window closed. Let's print. Let's rip. Let's rock. Let's roll Another one box break in the store. This is only the third box of a Oh, I write two up here It's only the third box of a of a fresh case remember back in the day Yeah, I know right? Isn't that funny? There's a there's a lot of videos from back in the day I mean those cards are worth nothing back in the day Rex, but yeah, there's a lot of videos of me doing like 2013-14 products and prism and breezing by a Breathing by Yanis silvers Which are maybe a dollar or two at the time back then but nothing now You got you got all those teams right here There you go. I mean the key you got the key ones you got Argentina in England Right, you have Portugal. No Josh. No, no Brad has Portugal Josh not to France isn't too bad Mexico a lot of players in Mexico in here Uruguay has Louis Suarez, so Yeah, mix-ups like I know someone who shipped me tons of 1819 optic vet commons a year back And must have had half a dozen LeBron maybe a half a dozen LeBron's in it I know I heard Eric Mason Greenwood apparently I'm not familiar with that player, but hit already Behind on this in yesta and it's gonna be national pride David Silva Brad with Spain Wesley Schneider David Dehea Sorry, we got West Hulahan 24 out of 149 die cut for Ireland That'll be for Josh. I'm still like Neymar There's Neymar for Brazil that'll be for Bradley and we've got Giovanna Elber 147 to 199 Yeah, kind of an old-school guy right here. There you go. Nice autograph for Brazil Bradley. There you go a Brace that's two and Eden's Echo Silver for Bosnia. That's for Bradley and then we've got Matteo D'Armian Forza Zuri Brad with Italy Denver Nuggets up 81 60 to the 66 on the Clippers game two Nessarosa best friends with Enos Cantor and For the three Lions Joe Hart goes to bread 39 out of 75 We got Andres Iniesta red to 199 That'll be for Brad And we got David Louise kind of Saisho Saisho Bob here remember Saisho Bob from the Simpsons 009 out of 249 nice another Brazilian for Bradley Mario Godse Matuidi Eden's Echo green is out of five for Bosnia Bradley. There you go an Excellent goal scorer wasn't the Premier League for a bit too very nice So Brad All aboard the Big Head Express And there's old Liverpool Center back Martin Skirtle right here too and there you have it Although that'll go to fab ration. I think he's Slovakian so they'll go there anyway I'm Joe for jazby's case breaks calm. Thanks for watching. Thanks for breaking with us And I will see you next time. Bye. Bye


Tonight is a rain rain go away kind of night in MLB DFS because my top two stacks are both playing in a game Where there's a chance it could get postponed in my number three stack behind them It's also in a game that is at risk and it sounds like those games are probably gonna play so We should be all right to proceed forward with those stacks But I still would like to have a bit more certainty You know if it's if you got an anti-rain dance you can do anything like that a vortex theory whatever it may be Let's try to conjure up some good weather and Baltimore in New York to get these games in a lot of stacks and fun teams and have for some Fun tonight and MLB DFS to see what happens will break down some alternatives should the weather get wonky and gets you ready For a Monday night in MLB DFS welcome on into the solo shot That's right here on the fan dual podcast network and number fire calm My name is Jim sauna. So I am a senior writer and analyst for number fire here to break down Monday's six game main slight We'll lock set for 705 p.m. Eastern for today Let's begin with those weather notes here The big one is in Baltimore for the oils and reds some of the storms could be strong Which means I'm worried that they may decide to not play this game in the interest of safety Which is smart, you know safety is always a good thing. I just really want to stack it so I'm probably gonna risk it I was reading Kevin Roth the rotor grinders breakdown Kevin Roth the The chief meteorologist over at rotor grinders does a great job analyzing weather as pertain to MLB He says this game should be able to play maybe with a delay But for offenses, I don't care about that too much So I just need to make sure they get that game in sounds like they should but still dicey than the like it to be He says there's higher risk in New York for the myths and the brewers for that game You know, I think it seems similar again where they should be able to play but more risk there that game is postponed So we'll break down teams you can use should both those games wind up being in danger We'll break down what to do with those games that they wind up being okay and get you ready for tonight here in Just one second the first day reminder to make sure you're subscribed to the number fire daily fantasy podcast feed Wherever you get your podcast. We're here every weekday breaking down MLB DFS tomorrow We're talking PGA DFS with branding a doula and we also have a UFC for select events via Austin Swain All right here in the number fire daily fantasy podcast feed So go subscribe to that wherever you get your podcast if you like what you hear leave us a five start rating on Apple Podcasts or Spotify also check us out in the video version over on the Fandall YouTube page or the Fandall TV plus app Baseball season is in full swing and there's no better place to get in on the action than Fandall America's number one sports book Because right now new customers get a no sweat first bed up to $1,000 It's a $1,000 back in bonus bets if your first bet doesn't win So don't miss a chance to snag a no sweat first bed up to $1,000 when you join Fandall today Fandall Official sports betting partner of Major League Baseball Major League Baseball trademarks used with permission must be 21 plus and president select states First online real money wager only ten dollar deposit required Refund issued is non with trouble bonus bets that expire seven days after receipt Restrictions apply see whole terms at fandall.com slash sports book Fandall is offering online sports wagering in Kansas under an agreement with Kansas star casino LLC gambling problem Call 1 800 gambler or visit fandall.com slash RG in Arizona 1 800 next step or text next step to 5 3 3 4 2 in Connecticut 1 8 8 8 7 8 9 7 7 7 7 or visit ccpg.org Such chat in Indiana 1 809 with it in Wyoming in Kansas 1 800 5 2 2 4700 or in Kansas KS gambling help calm Louisiana is 1 8 7 7 7 7 7 0 stop in Massachusetts gambling helpline ma.org or call 800 327 50 50 for 24 7 support in Maryland MD gambling health.org in New York 1 8 7 7 8 open wire text open Y and in West Virginia go to 1 800 gambler net Pitching preview pitching a lot more stable for today than these stacks are because the pitchers are primarily in games with okay Whether that begins the top with Spencer Strider coming in with a salary of eleven thousand three hundred dollars followed by Louise Castillo at 10 6 sunny gray is ten thousand one hundred dollars followed by Dylan season 96 Andrew he needs 92 with Reed Detmer's and Justin Verlander as the other guys at eight thousand dollars or higher Now Spencer Strider has definitely been in a rut of late his ERA is now to not or three point nine three For the full season. He's had a good number of starts where if you're watching it He's kind of looked off hasn't looked like the Strider. We saw last year and early on this year I just don't know if we can avoid him for tonight. I'd love to because it's been tough for sure But it's it's a really good matchup, especially for strikeouts and I really think we want to be here He's facing the twins and they are a super high strikeout team Twins active roster has a 29% strikeout rate against righties this year Which is the highest mark on the slate by more than three percentage points that's a massive boost for an opposing pitcher and Strider is also himself the highest strikeout guy in the slate He's the highest strikeout guy in every slate but regardless. He is the highest guy here too Even we lob off the early couple starts this year He still is the highest strikeout guy by a wide margin in 10 starts with the Velo down a bit from where it was in April Strider still has a 37% strikeout rate Which is eight percentage points higher than everybody else in the slate and he has a 2.85 skill interactive ERA Now he is letting up a lot of hard contact and fly balls Which is why he's had those bad starts in the stretch and you could add that against tonight because the twins Have batters who can't hurt you if you make mistakes but I have Strider projected for 9.8 strikeouts. Nobody else is above 6.5 So I agree with the concerns It is definitely not ideal to have such rocky form for a guy who's salary is 11 3 And it could happen again, but I just can't turn down That huge of a strikeout projection on a slate where there are just 12 total pitchers So to me despite the issues spencer strider is still my number one guy for tonight And I feel good about him despite the fact. I know an implosion once again is still very much within his range of outcomes The top alternative strider at least for me is going to be lewis castillo I think he's pretty safe and he doesn't he doesn't have the same upside But I do think the safety if you're pivoting at least has some value Castillo's facing the nationals who are a low strikeout team, but Everything else lines up really well the nationals 18 strikeout rate against righties, which is the lowest in the slate But a 90 wrc plus a 136 iso and a 33 percent fly ball rate So they put the ball and play a ton, but they do Nothing with it. That's good for castillo because that's been his biggest issue this year has been Letting up too much hard contact and too many fly balls And that's even true when we look at just a sample since his velocity Got back normally always takes a while to ramp up his velo at the beginning of the year probably to avoid injury It's probably pretty smart But even since then a lot of hard contact a lot of fly balls Everything else has been fine. He has a 29 strikeout rate in those seven starts He's hit double digit strikeouts twice This is not a great matchup for strikeouts. So castillo is second in strikeout projection for me That's enough to make him the top pivot But i'm going to prefer strider for the strikeout. So to me it's strider one castillo two as far as the studs go for tonight The top value for tonight's slate is a guy I've tried stacking against a couple times this year and i'm done with that because re debt mers Faced a bunch of tough teams and he shut down a lot of them So I think we want to go back to him as a pitcher tonight at $8,500 debt mers is facing the white socks and They're a pretty good team against lefty still with a 104 w r c plus but for debt mers That's a step down because his past five starts have come against the marlins Astros cubs rangers and dodgers all five of those teams have a w r c plus of at least one away against lefties So far this year So it's been a really a murderer's row for debt mers and in those five starts He has a 2.83 He had eight strikeouts and three of them which is super super impressive now debt mers I think does still let up too much hard contact and that's why I stacked against him in a couple of those games earlier on this year but It's still We're still getting compensated for that via the lower salary again $8,500 it's accounted for and he has upside I had debt mers projected for eight or six point three strikeouts here Which ranks third behind castillo and strider strider being one castillo two and he's right behind castillo so If i'm not going to use strider, I think i'm more likely to take the savings on Debt mers jump all the way down to 85 and give myself a different lineup where I can get to High upside batters and stuff like that within my lineup and debt mers gets me there So to me I think for for tournaments tonight my rankings are strider one debt mers two Castillo three and I do feel pretty good about that just because I think strider and debt mers Give me good strikeout projections relative to the salaries. I carry for tonight So pitching again pretty solid no real weather concerns there Let's talk about the weather concerns when it comes to stacks I think the orioles should be able to play tonight Based on the forecasts that kevin roth put out there or get over rotor grinders I'm hoping they do because I really want to stack not just the orioles, but this game in general so We'll talk about the orioles here because they're my top stack, but I'll talk about the reds and things to watch I think they would be ranked second for me all else equal if I can get this game to be good to go We'll be on both these sides for sure Let's start the orioles here and talk about why they're so enticing They're facing brandon williamson who has struggled since coming up to the big leagues His results have been okay, but the peripherals are pretty rough across seven starts. He has a 6.72 expected dra It's primarily up there. Thanks to a 48 hard hit rates But williamson is also letting up fly balls not getting strikeouts He hasn't had any implosion games yet. The closest one was uh 600 runs to the Dodgers, but I do think a Seven earned run outing and three innings is within his range of outcomes Orioles very good team against lefties with a 113 wrc plus they draw a ton of walks so I think they're going to flood the base paths here and They do have some guys who can do some damage if they do want to doing that So the orioles are the preferred side here. I like their matchup a bit more, but I'd love the reds if I were able to get there too. So to me Orioles one reds two if we assume this game is good to go for tonight within this Orioles offense are calling of jordan wesberg and as of 9 20 eastern this morning wesberg is not in the player pool over at vanduul.com But they have been adding guys for most of the season Guys some of this like ladella cruz is not in the player pool when he first got called up and they did add him So I think wesberg will probably be in there before first pitch If he does if if he is I want to be on there because he's a righty. So You'd assume he'd be in there to face the lefty He has 18 home runs and six steals in triple a this year with a 51 hard hit rates Wesberg may wind up striking out too much in the majors But I'm on board of them regardless assuming his salary is not unreasonable and assuming he does want to being added to the player pool And he is in the lineup So I would check back on that later on not in there as of right now But I think he will be and I want to be on wesberg if he is indeed added later on So as mentioned orioles are one reds would be two if we get the all clear of that game But I don't want to suck up two stacking spots on a game that might be dicey So let's put the orioles there Second one is also in the dicey game, but hopefully by splitting the ticket here We can at least get one of these games to play I like the Mets and I think that they'd be my number three stack behind the reds If we get the all clear on both for weather for tonight So let's talk about the Mets here. They're facing collin ray ray I think is better now than what he was his first in the rotation He's using more sinkers now and it's led to some solid outings But his zi ray in the stretch is still 4.84 He's led up four and runs in four out of seven games and his hard hit rate is 44 So even with the sinker being in play as fly ball rate is 37 percent. That's fine for stacking It's not as high as you like it, but it's still fine and We've seen ray really struggle with lefties and the Mets have enough of those guys to take advantage They're not their best players by any means, but um, they're they're fine Lefties have a 232 iso against ray this year and a lot of fly balls. So obviously not great for pita lanzo But beyond that, I think it is okay So again, you'll want to check the weather here to make sure we get the green light But if we do I think the Mets would be Number three for me for stacking behind the Orioles and the reds The lefties here also do carry pretty reasonable salaries Franciscan door the switch hitter is 3400 dollars brand nimo 31 You know, not typically the most powerful guy, but he's been a bit better in that regard this year can steal some bases Um, I think he's fine at 31 Dan Vogelbach is 24 Uh, $100. I think that's fine Brett Beatty. He shifts up in the lineup a bit Not it should use Jeff McNeil specifically because he doesn't make as much hard contact as Beatty does but We can use the lefties here And feel pretty good about that. I think we'll still be able to get to a lanzo as well So primarily on the lefties along with a lanzo is the core plays and then maybe mixing the other righties after we get to The lefties and switch hitters No weather concerns tonight for the rangers. Uh, they've a retractable roof So they should be good to go and I think they are going to be the top No weather stack of the night. We'll talk through some other no weather stacks later on just in case both The Orioles and the Mets wind up being In bad situations rangers facing Matthew Boyd He's a guy I think we can stack against despite some really encouraging starts recently Boyd in his past four starts has games of nine eight and seven strikeouts. Those are really good But he's still in some runs in those games The most relevant sample for boyd is his past 10 starts and using more change ups there Uh, then he was in his first four games and in that time He has a 5.79 era Despite the increase in strikeouts He has a 44 5 ball right and that can get him in trouble Where one mistake leads to a lot of runs That's a tough issue to have here because the rangers have a 136 w rc plus against lefties and a 183 iso Which means they're a team That can hurt you in a hurry Boyd is making gains, but he's in a tough matchups nights We saw the rangers face boyd uh back in may and in that game Five run runs across six innings issued too many walks and got punished for it So to me the rangers are a quality stack with no weather concerns for tonight and would be my top stack if we get bad news in the weather for the Mets and the Orioles games I want to talk as ikiel diran here quickly. He's probably going to hit lower in the order They likely are going to probably bat him eighth because they have been so far But I really do like diran a lot as a value. He has a 250 iso against lefty And that is a small sample, but he's also at righty as well And he will run a bit so for 2,800 dollars I think we can feel good about him even while he's hitting lower in the order So as ikiel diran 2,800 dollars probably gonna bat eighth I still think that he's a good play for tonight despite that Especially if you want to jam in all the high salaried rangers we have there So to me diran a fine value play despite the fact he will bat lower in the order Let's go ahead of things to watch and talk about the weather a bit more here and talk about the reds And why I like them and we'll put them seconds if I were allowed to rank things just straight up The face and col ervin who has a 7.71 e r a in seven outings this year His skill interactive e r a is better But it's also not good enough. We need to avoid him the reds active roster up to a 114 W rc plus against lefty So if we can I want to stack both sides of this game and just feel good about that But be sure to check back on the weather later on to see if we can actually do that with a good amount of confidence Another stack we can turn to if the weather in baltimore, uh, new york winds up being bad is the mariners They're facing trevor williams who It's a good matchup for them, but they're just a pretty bad offense right now I'm still okay with them because of the matchup and I will use them if we had bad weather elsewhere But their struggles with the dish are why I got I had them behind the ranges for things The range has been much better against lefties than the mariners have been against righties I also think you consider the braves above the mariners as the the other Good weather stack they're facing sunny gray and gray is a really good pitcher, but He's struggling right now. He's been using more sinkers and fewer curve balls his past eight starts Uh, he has a 4.53 skill interactive era in that time He's getting grounders, which is why the results have still been fine But now he's going on the road facing a very good offense. I think we could see him slip a bit So I do think that braves are acceptable should we get bad news on those two rain games. So to me The Weather is fine stacks would be Baltimore followed by the reds followed by the Mets if the weather winds up being bad for both those games I'd rank the stacks Rangers one I'd probably go braves two and then mariners three in terms of the stacks for tonight Hopefully we get good weather though because I really really want to stack that oil's reds game Let's finish up with the digger calls for tonight So let's start the boring one and that is one in a game that should play be good to go That is Adelis Garcia facing off Matthew with Matthew Boyd a lot of fly balls there Garcia can crush anybody But especially a lefty. So the boring home run call Adelis Garcia For tonight the fun one. Let's go Jordan Westberg in his mlb debut his odds at vandal sports book I think are plus 480 so you're not going to catch them sleeping there by any means but Still like it as far as a fun recommendation. Hopefully he's out of the player pool We can get there for him But we'll go with Adelis Garcia and Jordan Westberg as the homer calls for tonight That's all we got here for today on the solo shot once again Do not forget to subscribe to the number fire daily fantasy podcast feed wherever you get your podcast also check us out On the fandal youtube page and on the fan dual tv plus app And do not forget again to check out the weather for baltimore new york later on to make sure those games are good to go If you've got any questions for me. I am on twitter at jim sonnis J i m s a n n e s and you can also follow the fan dual podcast network at fan dual podcast I want to thank you all for tuning in for today. Good luck to you with your mlb dfs line-up for tonight We'll talk to you once again tomorrow to break down a robust tuesday slate This has been the solo shot right here on the fan dual podcast network


Be not weary in well-doing for you are laying the foundation of a great work and Out of small things proceeded that which is great


So Robinhood marries stockpile and the baby is M1 Finance. Wow! What's up money geeks? Mr. V here. Welcome to another video. So in today's video, guys, we're going to be talking about M1 Finance. And you're probably asking yourself, like, what is M1 Finance?  You'll be able to learn how to invest and invest your money. I've talked about other platforms like Robinhood, which I'm going to hook up here. So if you haven't already, you can go check it out. I've talked about stockpile, which is another trading platform which I've talked about here on the channel. And you can go check it out here. But in today, our focus is going to be on M1 Finance. M1 Finance just came out of the woods and they've combined what Robinhood used to give me, which is free commission trading. And what stockpile gave me, which was trading fractional shares. And they've combined the two together. And now you can get fractional shares on M1 as well as commission free trading. Boom! It just blew my mind. So today's video, my goal is to kind of show you guys why I am considering moving all my assets from Robinhood over to M1. The first thing that I mentioned here is commission free. Okay, Robinhood is commission free. So why not move? Secondly, then you can buy fractional shares. I can't get that on Robinhood. Well, you can get fractional shares on stockpile. But stockpile is not commission free. It's 99 cents per trade. So if I go to M1, I'll get free trading. I'll get fractional shares. See that? And that's not all. One of the things I've actually seen having tried M1 Finance is the fact that the interface is really, really clean, like as clean as you can see. They have this whole concept called your pile.  And so you see the different percentages of what you've invested in, which is really neat. And then you can see where your money is, what percentage, and you can actually move things around. So you can actually customize your pile to your satisfaction. The one other thing that I think M1 brings into the table is these robo-advisors. So think about using machine learning or artificial intelligence. They've brought that into M1 Finance in a big way. So when you set up your account, they'll ask you a few questions just to understand where you stand as far as investing, your level of understanding of investing in the stock market. Or just your risk tolerance and know when you plan on retiring and other stuff. So they can use that to kind of build a pile for you to start with so you get a sample pile. But the good thing is once that pile is built, you can always go back in there and rebalance it. And when I say rebalance, it means you can go and move things around. And usually when you rebalance, it means you're triggering a sell and buy within your account, which the robo tool will do it for you at no cost, which is kind of cool because you can sell and buy as many times as you want at really no cost to you. One of the things that I can mention with Robinhood, once you're in there, you have to do all this research by yourself. Most people that are starters, they don't really know how to go about doing research and they don't even know where to start. But with M1 Finance, those robo advisors can help you set the pace and show you where you should start, which is really good. The other thing I like about them is that they have customer support like you can actually call and talk to somebody on the phone. That's one of the things that frustrated me with Robinhood because you can only email them. So you send an email and then you wait and then somebody will get back to you in an email. You don't like what they say, you have to respond and wait.   That takes us to the next difference between Robinhood and M1 Finance. M1 Finance, you have a minimum of $100 that you have to deposit. Robinhood is zero. So you have to deposit at least $100 and then you get $10 on top of that.  But again, I'll still take M1 Finance over Robinhood in that perspective. And then the different types of accounts that you can actually open within Robinhood and start at M1. Robinhood, you can only open an individual account. With M1 Finance, you can open a joint account, your IRA, you can do rollovers. I mean, name it all the good stuff. You can give yourself an employer, you can do a SEP IRA and all the good stuff that you can actually do within M1 Finance. So there's a lot of flexibility that you can actually go in there. And as far as options of stuff that you can get, you can get, you can buy stocks, ETFs, index funds and all the other stuff within Robinhood and you can do that within M1 Finance. Robinhood gives you the option to actually buy and sell cryptocurrency even though it's not available in every state. M1 Finance really doesn't. One thing I love again with M1 Finance is the interface. Robinhood is just their phony website in the app. Again, I'm not saying Robinhood is bad because I mean, I still have the account I'm using it. I'm just saying there's a new sheriff in town and this new sheriff is not messing around. Again, like I said in my opening, if you take Robinhood and combine them with stockpile together, your baby is M1 Finance and I definitely love it. So that's it for this video, guys. Again, in subsequent videos, I'm going to show you guys my portfolio within M1 Finance and just going to explain to you guys why I'm considering moving my asset from Robinhood into M1 Finance. So if you do have any questions, have you used M1 Finance? What's your experience with M1 Finance? Let me know in the comment section. Guys, keep the conversation going in the comment section. Like, share, subscribe. And as always, stay motivated.


Hi guys, what is up? Welcome to my channel. So for today's video we are going to be doing a review and full day wear test of the brand new Charlotte Tilbury Airbrush Flawless Foundation. You guys know I'm a huge fan of Charlotte Tilbury so I've been so excited to finally be able to get my hands on it so let's see how it wears today. You notice I do look a little rough today, we're wearing a sweatshirt. Today is a work from home day for my job so I'm not getting dressed up, sorry. But I am going to get glam. A lot of people were able to get this foundation early, I obviously was not. This is currently available on the Charlotte Tilbury website, it will be available online and in stores at Sephora August 29th which is coming up. So let's talk details of this foundation. It is $44 which is not terrible for a luxury foundation. You get one whole fluid ounce in the bottle which is quite typical so the major claims of this foundation, it's supposed to be full coverage, we'll see about that with a matte finish which is a little bit different than most of the foundations out right now. The trend is a lot more glowy hydrating foundations, that's a little bit different and it's supposed to be a long lasting weightless hybrid skincare foundation. So what I'm looking at on the website that makes this foundation more unique other than it's a full coverage matte foundation is that it's a skincare hybrid. So it says this is the first foundation to use Replexium which is supposed to significantly reduce the appearance of wrinkles by up to 22% after 8 weeks of use. Obviously I will not be able to test that, can I be honest, I don't even think that that's really true, I just feel like a lot of times that's just a trick but you know what, what do I know and it has a bunch of weird ingredients in here. Moss Cell Tech which helps thoroughly hydrate the skin and air cool which provides an immediate fresh feel on the skin, these are all trademarked and I've never seen these ingredients in a foundation so very very interesting if you are an ingredient person, it's supposed to be a hydrating yet matte foundation and last thing that I noticed on the website is that they recommend 5 minutes for true color to optimize which in other terms this oxidizes so there are 44 shades in the range which for Charlotte Tilbury that is a huge improvement. Still the last line of colors is looking like the deep so the range is not spread very evenly but I do have to admit 44 shades is a lot for Charlotte. I got mine in the shade for neutral, I was struggling to pick a color normally I say I wear about a 5 in the magic foundation but number 4 just sounded like a better match online so we'll see about that anyways, let's talk packaging of this guy. So absolutely beautiful, this is the most beautiful foundation packaging she has in the line, you have the beautiful metal rose gold tip, it's a frosted glass, it's just really beautiful with a pump, I just love how everything in her line looks so cohesive though I am a little bit bored of it but still it does as a whole look really great together and you know what, enough gibber-jabber, let's get into it. If you hear things in the background, they're cutting a tree down outside of my house and I'm not gonna wait for them to get done, I got stuff to do. On my skin all I have is moisturizer, we are going to keep that way for this video. Let's squatter out, oh no this looks kinda light.  Wow, that finish though is looking really nice. So my favorite way to apply foundations if you don't already know is I like to spread it out more evenly with my finger. I just feel like that gives the most optimum amount of coverage with a sponge and then you can just use a sponge to kind of fine tune everything and work it into the skin more. On my hand I'm definitely noticing this is oxidizing a bit more which is great because it almost looks a little bit more yellow and I have more of a neutral undertone and it's drying more of a neutral undertone which is good for me. So I'm doing like baby pumps so I would say all in all I've probably used one and a half to two pumps, I am getting kind of a lot of coverage though so I think if you want just a little bit of product one pump should do you good. Here's how we are looking, so so far just by looking at my skin immediately let me zoom you in, mind you I have nothing on my face, no concealer so I do look a little crazy. It is a matte finish, it really is I feel like it would pair nicely with some of her other glowy face products so that's nice to have in the line. As you can see you can see a little bit of my freckles, I'm going to build it up a little bit and see maybe if you do get more full coverage from building but this does have a nice amount of coverage but my freckles do always tend to kind of show through, yeah okay so she is pretty nicely buildable. So this definitely does have buildable coverage, I wouldn't say this reaches full coverage I would say it's somewhere between medium and full but you know given the nature of foundations released recently, yeah this is one of the more full coverage ones that are released.  I do want to give it a few more minutes so I'm going to finish the rest of my face, I'm only going to lightly set and I will catch you guys in a few minutes.  Immediately I feel better, I don't know if I mentioned this in the beginning but I do have normal to dry skin, I prefer a more hydrating foundation, I wouldn't necessarily say this is hydrating, I didn't notice it emphasizing any dry patches though I don't really have that many right now so that might be why but a matte foundation isn't bad it's long wearing so for matte foundations it's not really how it looks immediately for me it's about how it looks down the road and how it wears so we will see we will test it out with a little bit of that spray already it's feeling better it's looking better there is absolutely no sinkage into my smile lines yet because sometimes at this point some foundations already are going into my smile lines so that's a good sign overall my skin looks pretty smooth it looks very matte nice and the matte is a really nice change honestly I'm so used to so much glow so anyways it's about 8 in the morning so I will keep you guys updated hey guys so we are at the three to three and a half ish hour point I did just want to give you a quick look at how it's sitting on my skin I will be honest I've been quite stagnant in my movement meaning I've been laying in bed for the past three hours working on my computer but I did just kind of want to show you how the foundation has settled into my skin so let's zoom in so as you can see at this point there is some slight sinkage into my smile lines nothing bad at all honestly for three and a half hours I do notice it breaking up around my nose just a little bit and that's kind of early on if I'm being honest I haven't ate or drank anything or moved my foreheads looking really really nice and I mean overall it is looking a lot more natural than it was this morning because my oils have kind of come through but I have to say it is looking a little bit makeupy on my skin and I guess that is because it's like a full coverage foundation but yeah this definitely is not a natural finish as far as how it looks sitting on the skin but it still does look pretty it's wearing okay I don't know I don't know I definitely will have to wear it around a little bit more so I will be back in a few hours right so we are around at the eight hour checkpoint so I'm going to finish off my thoughts for the day so let's take a closer look smile lines aren't bad I've definitely seen worth with some foundations some major things I'm noticing a lot of oil has collected on my nose and I did heavily powder that area so that's just something to be noted I would say for this starting off as a matte foundation I do have more of a natural finish now so it went from matte to natural which I personally don't mind because I do like that little bit of do to the face I think it looks more natural but I'm not excessively oily by any means which is a good thing I will say it was pretty weak around the nose area pretty early on I did notice some shine on my nose which is quite rare for a matte foundation so honestly I'm very surprised because normally my nose does not get this shiny even with a dewy foundation as far as how the makeup sitting on the skin you can see that it's makeup it's not on flattering or super cakey by any means I did eat a hot soup earlier today so it actually held up around the mouth area pretty well so I'm actually quite impressed with that so I'll let you get one quick look so that you can see so here are kind of my overall thoughts about the foundation definitely don't think it's the best foundation in the world for me if I'm looking for more of a matte long wear foundation I'm definitely going to go towards the Estee Lauder double wear that one is a comparable foundation I would say but Estee does it better in my opinion it's not a bad foundation at all it wore decent not the best most long-wearing foundation like it claims what I don't like about it is I can kind of see it sitting on top of my skin and it just looks more makeupy because lately my preference has been more natural foundation so this is a bit much for me if you don't mind a full beat face this is pretty good it has decent coverage and it doesn't look too cakey at the end of the day but for somebody like me who has been into more lightweight wearable natural foundations this is like a lot to me what I do really like this foundation for is I feel like it does look really nice on the skin so I would like this for my Instagram pictures obviously not everybody does Instagram pictures or is on camera like me so for me that's good for me it's definitely worth keeping because I love the way it looks on camera but in everyday life I definitely would say it's not my favorite foundation as far as Charlotte's whole worry goes I would prefer her magic foundation more or I would mix this foundation with the light wonder so I can definitely see myself getting used for it I think if I mix in with the light wonder I definitely will prefer the formula much more one great thing about this though is it said it was more of a moisturizing foundation and I do have to say I know I don't have too much dryness in my skin but I I feel like my skin doesn't look dry and sometimes with matte foundations my skin can feel tight and dry at the end of the day I'm not getting that so that is a really good plus with this foundation I think this foundation is really good for all different types of skin tones honestly and it's very rare that I say that obviously you will need to adjust based on your skin type if you have more oily skin make sure you powder make sure you bring a powder with you throughout the day because obviously if my oils are coming through yours are too but I think the oils look nice with it but just make sure you're powdering I think if you have dry skin this works really well if you like a matte finish and you have dry skin this is really nice as well so I do think this is quite fitting for all skin types it's just a little bit too makeupy for me and I never thought I would say that but yeah my opinions on how I like my skin to look have really changed over time also those of you with mature skin I think this is a pretty good foundation for more mature skin so if you have a lot of discoloration and you like coverage this worked pretty well over the lines of my face and it doesn't make your skin feel tight or look tight so this might be good for you so yeah overall I think this foundation is okay it's definitely got its advantages it definitely has its disadvantages for me it's just not my favorite type of foundation but I know for a lot of people you are going to like this so that's all I have to say for today's video let me know your thoughts down below if you tried this foundation let me know your skin type and how it worked out for you I will pin the most helpful comment to other people if you are not yet subscribed to my channel make sure you subscribe because I have a lot of other foundation videos that I need to do which is both annoying and exciting so just stay tuned for that so I will see you guys in the next video I guess have a good one


So and welcome to another episode of the Private Property Home Shopper Show Cape Town Edition. You've seen us in Cape Town CBD all the way up to Constantia, to Valdivie and we are now right here in Blobo's Rund and ladies and gentlemen, for those of you who don't know, this is the new Up and Coming It suburb. If you want to live in Cape Town but you don't want all the noise, all the traffic, all the people, this has got the best of everything while being still super, super close to Cape Town. This has come from a quaint fishing village in 1806 and has been built up to include some of the most beautiful houses you'll be seeing and these crown jewels in that is the home you see behind me right now. Three bedrooms, four bathrooms, one of those being a guest bathroom plus so many other features. And you to follow me and let me show you exactly what living in this area offers you. Let's go. Walking in to this beautiful home, the first thing you'll notice is the sense of scale of epicness of grandeur when you stand in front of this spiral staircase ringed off with stainless steel balustrades right in front of me is a massive window giving you nothing but a clear view of the sky and plenty and plenty of light and then to top it off the cherry on the cake if one may is this incredible chandelier above me. When you've made it, you're living in homes like this but we've got a lot to talk about the home spans all the way to my left as well as to my right and I don't want to spoil the surprise so I have to close this up. So let's start over here where all the living areas are. Let's talk about the kitchen. Let's talk about what makes this home so fantastic. Let's go upstairs to the bedroom and you guys let me know in the comments when you want to move in. Let's go.  I love how big it is. I love how much space is. I love the wood flooring that I see is quite interestingly common within expensive Cape Town homes. A lot of people with taste evidently like these really nice matte wood floors. I absolutely love it. I can see why they do sitting back here. You can see just how much you can fit in without it feeling cramped. Now wrapping around though is one of my favorite features and let me also mention air con right there but what a fireplace wrought iron fire crackling away but also fully enclosed so there's no smell or fire within the home whatsoever. This house smells incredible, smells like roses, smells like the flower arrangements actually of which there is one right here. Moving off to this side you'll find your dining room area and really every home has to have at least one fault and I guess this dining room area might not be the biggest but one must make do with what they have. Guys, this is the dining room area absolutely stunning framed with glass everywhere and giving you views of the ocean as well as of Table Mountain. Across the corner here you can see Table Mountain peeking out of the clouds but on a clear day it offers unobstructed views but also has a sliding door giving you an approximation of indoor outdoor living even though you are quite high off the ground. Our love house done and there is a safety balustrade there as well so you don't need to worry really nicely done but it continues because right over here in this kitchen and a stunning kitchen this is there is this gigantic kitchen island which can also serve as a breakfast nook. Now the top of this kitchen island is a thick piece of quartz plenty of undercounter storage as usual beautiful down lighting illuminating what you need but let's talk about the kitchen because on this side is really where the magic happens we've got a built-in liquor or wine rack coming over this side we've got our chef's sink which is a must in any exclusive home beautiful beautiful taps as well I believe hunscrow then over here we've got a Bosch electric stove top as well as Bosch extractor and then over there I was wondering where that is is your Bosch oven and microwave over here on my right hand side a display cabinet which is internally lit that I really enjoy frosted glass at the bottom clear glass at the top undercounter storage all the way across and then there is a scullery slash pantry right in front of me let's take a look at that. Now this is the area where you'll house your fridge as well as your other kitchen appliances such as your dishwasher and washing machine what's really done nicely here is because it is an open scullery you have shoals and cupboards that will hide those appliances away so you do keep that nice clean look which is so important in kitchens as fantastic as this within the scullery you'll also find your double sink again with another hunscrow tap and now that we've covered this half of this home let's move through over here because the first thing you will notice is this is a fully enclosed entertainment area the doors behind me shut for you to have a good time with all friends and family that do visit on my right hand side beautiful countertops cord countertop with your very own sink here for you to do washing up while you are mixing drinks and your drinks are displayed in all their glory down lighting in all the cabinets really does add that final touch we've got speakers in the ceiling catering to all of your entertainment needs right over here a good reading desk or even if you just want some time away in some quiet where nobody's using this perfect place for some lighting some fresh air if you crack open these windows and here we are within the lounge area or another lounge area where you can kick back watch some sports on television and enjoy the sea views and talking about sea views walking out of this stackable sliding door aluminum frame which really does help with the wear and test specifically when you've got the ocean right there this is where it's at if you want those sea views 180 degrees of the ocean on this beautiful wooden deck plenty of space here as you can see for outside entertainment massive lounge suite really doesn't make you feel cramped or just funneled into a box and right here I'm about that close to falling into this stunning heater pool but wrapping around we've got a sliding door here again aluminum trimmed and we find ourselves within the downstairs guest bedroom now if your friend gets by a say and you don't want to put him anywhere else you can tuck him away yeah I'm sure he's gonna find himself very comfortable you can see a couch fits here with no problem whatsoever and then a massive almost wall-to-wall window looking out onto that stunning ocean now this bedroom as well comes with its own on-suite bathroom let's talk about that let's wrap around back into the living areas let's talk about the guest bathroom and then it is all the way up that stunning spiral staircase and we take a look at what the top floor has to offer the downstairs guest bathroom includes a walk-in shower and a massive one at that glass framed looks exceptionally lovely then you've got your two basins so two separate sinks as well as a massive mirror under counter storage and then your toilet tucked off nice and privately in the corner now your guest bathroom is located just through the front doors to the right and it includes a floating toilet as well as your very own private vanity and it's perfectly tucked away from prying eyes. The first bedroom we're gonna show you upstairs makes a perfect child's room as it is calibrated right now an office or even a small spare bedroom no bathroom on suite the bottom is just across the hallway which can service anybody upstairs now you may be asking me Chad what is somebody just doing wandering around upstairs and what they might be doing is what I'm about to do right now and that is come over here and open this door which leads out onto a beautiful long balcony giving you uninterrupted sea views 180 degrees the Cape Town ocean as usual is fantastic although the weather today might not be but out there Simba in the dark bit that there is Cape Town CBD but we've wrapped this up let's walk our chair let's stretch all the way to the left hand side of the house let's show you what's over there and then we come back to the creme de la creme the master suite now when talking about the only bathroom that isn't located on suite I promise you no expense has been spared beautiful taps double bandities massive mirror giving you all the light and all the reflection you could ever need frosted glass doors cover all of the undercount the storage and then to your right you've got a tucked away toilet as well as a walk-in shower framed wonderfully with a frameless glass panel coming across this corridor you've got just a beautiful floor to ceiling glass window and then on the right hand side of damn second room yeah we are let me close this door as this leads in to your ensuite bathroom up this bedroom along as with all the bedrooms in this house give you those 180 degrees of the sea and they've done it so wonderfully because they've almost jut it out the bedrooms so that you can get that 180 degrees and it is a beautiful view even on a cloudy day like this but right behind me covered space plenty of it double bed put in here easily so you know there'll never be any problems with space as well as table and a couch really is nicely done in terms of area usage but behind this door we've got your ensuite bathroom so let's open this up and take a look at it now your ensuite bottom has much of the features you come to expect and love of a house of this caliber that is your double vanity beautiful taps stunning mirror under counter storage again with that frosted glass walk-in shower framed by frameless glass and then on the left hand side you've got your toilet floating toilet hidden sister as well as some beautifully placed mirrors and windows looking outwards while still being frosted letting in that light that ensuite bathrooms soft and crave and right here before we move onto the master suite we come into a bar area slash office area this is located on the front left hand corner of the house and it gives you the most spectacular views of the ocean as well as all table mountain signal you'll lines head and devil's peak that I think you could ever ever ask one but yeah we are far right here windows all around the two of the walls plenty of space for you to get your party on this mixed with the bar downstairs shows you that this house really does cater so much to entertain us as I'd mentioned this can also function as an office because of all the space here you can go absolutely wild let your imagination run wild and do what you like air conditioning in all of the rooms and then these doors frameless slide open and stack together so you can utilize this balcony and let me see the view from this corner here and here we go the creme de la creme absolutely incredible the master suite take a look at the views behind me but let's talk about what comes first as soon as you walk into the room on the right hand side you've got your very own walk-in closet with plenty of cupboard space that continues around the wall over here as you can see more closets right there massive wall there for all of you TV lovers and a really cool feature here for people who love their pets is we've got a door that opens out onto your own balcony but there is an inbuilt pet door at the bottom so if you've got cats if you've got dogs and you want to keep them in the room overnight you know that out there is exactly where they get to do whatever they need to do but this room is massive air conditioning as I've mentioned high ceilings really this king bed fits in without a hitch and just in front of me you'll find your unsweet master bathroom now just before I walk into the master suite what I'd like to mention is this house has home automation you'll find one downstairs as well as one right next to the bed so if you want to control anything if you want to let your guests in if you want to handle your music that's done through there but walking into the bathroom you will see the wood flooring that warm wood flooring gives way into these massive tiles and that helps space out this bathroom then like all the other bathrooms in the house we have got the double vanities the frosted gloss under counter storage and then on my right hand side an even bigger walk in shower floating toilet with a hidden cistern but on my left hand side I think that is the crown jewel of this bathroom and that is because of these two windows here letting you take a bath and enjoy living in Cape and you come down to Cape front and live the lifestyle to have the beachfront to have the views and this home has just that stunning views all the way across from the ocean it must be divine and there you have it folks this home has been wrapped up we've showcased everything that makes this home as incredible as it is and for 11,490,000 rent I doubt you'll be able to find anything that matches this quality ever again so what do you need to do next you need to contact Warren Leslie at Remax blowbook to schedule a viewing at your time and place but ladies and gentlemen that is it so for myself Chad Rivera's the team at the home shopper show as well as everybody at private property the Cape Town tour continues tomorrow we're in Stellenbosch as well as Cape Town city centre so tune in Mondays and Fridays we love you all and goodbye


Stevenson battle tonight to get the 2-2 tie with William Smith Glenn Clark alongside Mustangs coach Tracy Johnson coach You've been an outscored 20 to 1 in your first three games. I think it's safe to say progress tonight Absolutely a lot of progress there You know we could have fallen into the trap of really collapsing after what happened last night Obviously certainly with the first three games, but I'm proud of how they battle back and we're able to bounce back tonight Coach I heard you talking about just a second ago special teams If not for that probably a win here tonight as you go over on the power play and you give up the couple of power play But goals look I know you know it's again as we talk about progress It seems like the one area that probably could have been the difference. Yes, absolutely We talked to our team about we live and die by special teams and certainly that was the highlight tonight We've got to find a way to to bear down on the pk that has been Just something that we are struggling with and so we've got to get a Tighten up on that and like you said capitalizing on our power play opportunities The special teams would have been the difference maker for us or it certainly was in terms of it being a tie versus a win It's part of that just simply learning how to win for this group They seem like even that was two one two two There were still some opportunities there and some really close calls to get a third. Yeah We had some good chances. We had a pipe in overtime and I think we have to keep plugging away at at Capitalizing on our offensive opportunities and creating those scoring chances And when we do create those scoring chances bearing the puck really quickly your captain Chelsea Blackburn I thought she was great all over the ice tonight She showed a lot of heart and a lot of passion, you know, it's she sticks out every time She's out there because she just goes hard and you know finally able to put one home for her and Hoping that's the first of many to come obviously not next weekend It's not gonna be much easy as you head back out on the road. Yeah I told the team we're back into playing a top five team against Elmira So we've got to be ready to get back to work on Monday and and prepare for our next test Which is gonna be a big one you say congratulations after a tie. How do we end this is it doesn't work that way? Do we just say thanks for taking the time? Yeah, you know, I think it's a Good luck in the next weekend for sure. Go with that coach. Thanks for taking the time. We appreciate it Thanks so much. She's coach Tracy Johnson. I'm Glenn Clark for go mustang sports calm


Hi, everybody, Joe for Jasper's Case Breaks.com with another quick little filler pack, 2018 Pini Proceeds Football, fat pack break number 27. At the end of the break, six national treasures random team spots being given away, and then the break itself will also be in a separate video that's coming up next. But first, the break. Thank you, everyone, here for making this happen. All 32 teams are in. Let's roll it, randomize it two and a six, eight times. One, two, three, four, five, six, seven, and eight. Eight times four of the teams, one, two, three, three, four, five, six, seven, and eight. There's eighth and final time. All right, there's the first half of the list right over here. And there's the second half of the list right here. Let's just do the break. And then a different dice roll for the giveaway spots. And then the NT. There's the RBI hit. Final printout. These are all just that common, and then there's the inserts here. DJ Moore and a Baker Mayfield rookie card, nice. Cleveland, this is for you. William with the Browns. All right, now let's flip back to this list. Let's grab everyone's names again. There's the new dice. There's the new list. Top six after seven. Four and three. One, two, and seven. Final time. So from seven on down, no good. Sad times. But thank you for taking the risk. Top six, happy times for you. You're in NT. Matthew, Sean, Sean, David, Steve, and David. Congrats to the top six. We'll see you in the next video for that NT break. Bye-bye.


We will continue our discussion of Mendelian genetics in this module. The next question Mendel wanted to address was what is the influence of one trait on another trait when it is transmitted from one generation to the next generation. Let's look at that. In order to understand some of these genetic events, we also should have some understanding of probability. Say if we flip a coin, coin toss, what is the probability we will get a head or a tail? It's 50%. 50% of the time we will get head, 50% of the time we will get a tail. Now let's talk about two coins. Now we have the coins shown on your screen are actually American penny, the brown coin is American penny and the silver coin is an American dime. So we flip a penny and a coin together. What is the probability that we will have two heads? So the probability getting one head is half. Probabilities are always the range between zero and one. If an event is absolutely certain to happen, the probability is one. If an event cannot possibly happen, the probability is zero. Everything else is a number between or a fraction between zero and one. So we have said that probability of a single coin landing in head is 0.5 or one and a half. So if we flip two coins, the probability of both of them happening at the same time is half for one coin and the other half for the other coin. So when you are combining two probabilities, independent events happening together, you basically multiply both the probabilities. So half times half is one over fourth. Now let's look at the other two cases where one is head, other is a tail. When the two events can happen in two different independent ways, we add the probabilities. So in this case, one head, one tail, we can achieve this result by two different ways. In one case, the penny has a head and the dime is a tail. The other case, the penny has a tail and the dime has a head. So when we add these probabilities, it is one fourth or a quarter. Quarter plus quarter, 0.25 is 0.5. So 50% of the time we will have this situation that one of the coins will be head, other will be a tail. Similarly, as we can see, the probability of having two tails is also 0.5. So I wanted to introduce you to the probability concept because you can also use probability concepts to calculate the genetic combinations. Now Mendel wanted to see what is the question Mendel framed was, what is the influence of transmission of one allele, one trait to the next generation or the progeny? How does it influence the other traits being transmitted to the next generation? So basically, he started looking at two traits at the same time. We are already familiar with capital less and smallest, the shape of the seed. He also took into account the color of the seed. The yellow color is dominant over the green color. So these two traits, these two characters are located on different chromosomes. So S is located on homologous chromosomes and Y is located on a different homologous chromosome. So in a diploid state, a heterozygous will have a capital Y, small Y, capital S, small S. When these individuals form gametes, these will separate and they can, if they're independently divided between the gametes, it will have absolutely no bearing on what, whether a gamete gets S, in what combination the gamete gets S's and Y's, whether it gets capital S always comes with capital Y or whether capital S can also come with small Y. So this is basically what meant, this is the experiment, Mendel did and let's look at that experiment. So he crossed again true breeding, capital S, capital Y plants with small S, small Y, true breeding plants. Now we are going to get a progeny which will be capital S, capital S, small S, capital Y, small Y. This plant, if it is, this plant, if it is, if these two genes are divided in the gametes independent of each other, which is also called assortment, if they're independently sorted, so we can have these four combinations. Since we are looking at two different, two traits, now this cross will be dihybrid as opposed to the monohybrid cross, which we looked at earlier. So let's make the gametes, this F1 generation will make four types of gametes in which these four combinations are possible.  So again, we have already, we are familiar with pundit square. We write the gametes, two gametes on one either side of the pundit square and look at the combinations, what we get. So we will get basically nine spherical yellow seeds and three spherical green seeds, three wrinkled yellow seeds and one wrinkled green seed. So if these genes were linked, we could not have possibly gotten a small capital S with a small Y. If capital S was linked with this capital Y, we would not get this result. Additionally, I would like to draw your attention to the components. The components are these two categories, the wrinkled seed with yellow color and green seed with the spherical, green seed with a spherical shape. These combinations were not present in either the parents or in the F1 generation. These combinations will only be possible if genes were allowed to separate from each other during meiosis, independent of each other. Therefore, with this data, Mendel came up with his second law, law of independent sortment. Alleles of different genes assort, meaning they are divided into gametes independent of one another during gamete formation. The segregation of allele A is independent of segregation of allele B. Here, again, you can see the pundit square in which Mendel did the dihybrid cross to show that genes are assorted independently. We will continue our discussion of genetics in the next module.