Well hello and welcome to vlogtober day 13. It's Friday the 13th. I got my laundry going in the background and I figured I would answer some of your questions and still do a laundry day Q&A even though I didn't call for questions because I didn't answer all of my questions last week. And if it looks like I'm hunching down I am because if I were to sit all the way straight like my eyeballs are kind of not in a frame. So I want to address one question I've gotten a lot which is how are you doing since taking time off and I'm doing really really well. I'm loving the time away. I have been vlogging every day. You guys will have seen those vlogs or maybe I'm gonna condense it into one vlog from Monday to Thursday but I'm not sure how I'm gonna do that. I literally haven't edited anything. So I know I had plans yesterday to edit and I just was like you know what? I have other things that I really want to do right now. So I did those instead because again I've allowed myself to have a little time off. So this weekend you guys are gonna see like a flurry of videos from me but I'm doing great. Thanks for asking and I have been able to share a lot more especially on Instagram. I've been doing a little bit on Facebook but mostly Instagram. If you guys want to follow me the links are always below. So anyway let's get into the laundry day Q&A. I'm gonna pull up the last laundry day Q&A video because I think there was a couple of questions that people had asked. So I'll go into that. I'll do some YouTube. I'll do some Instagram and I think I have some on Facebook still too. So I'll do a little bit of everything and we'll go from there. Someone asked what editing software do you use and what would you suggest for a newbie? I suggest using whatever comes with your computer. I have a Mac. iMovie came with it. I use that. I love it. It works really well. I did have a PC before and used whatever their video editing program was. I can't remember what it was. It was so long ago but I used that and that was great too. So I don't recommend ever really investing in any video editing software or program if you don't need to. So just use whatever comes with your computer first and no reason to invest in something that is probably already on your laptop or desktop. Someone says how did you pick Doyle's name? I think I've talked about this several times but he is named after Doyle Brunson, the famous poker player. All right so the last YouTube question I'm going to answer. There's actually a couple of questions from this individual. Doyle, get out of there.  I don't know what he is doing but he's eating something off of the floor which is gross.  Are there any YouTubers that you used to watch but don't anymore and why? The only person that comes to mind just because she isn't posting as regularly is Christina Brawley. I love her like regular videos but she's been posting some vlogs recently. She was formerly pretty shiny sparkly on YouTube and I love her content. I just haven't seen any like regular like her regular video content that I am gravitating towards. She does a lot of like luxury handbags and makeup and you know things like that but she hasn't been posting as consistently. I know she's back in Texas. She was in North Carolina, well I guess she was in Texas, then moved to North Carolina, then is back in Texas and is pregnant and she's also an anesthesiologist so she's like a busy, busy gal. I just haven't seen a ton of videos pop up from her so probably her. That's kind of the only person that I can think of but honestly I subscribe to a lot of YouTube channels. I don't consistently watch every single video just because I have limited time and I want to watch what I'm interested in so like if I'm watching a specific channel for something and say they do like makeup, fashion and hair and I really only want to see the fashion and nothing else. I'll only click on the fashion videos so yeah I guess that's probably the only one I can think of off the top of my head. I'm sure there's a bunch but I don't know and this individual also writes do you have any hobbies outside of stickers, pens and planners? She says I totally have a stationary addiction. I would love to see everyone else's stuff. Okay so anyway yeah probably see that little green plant thing that's not actually a plant by the way it's fake because I don't like living plants but I just got that today at Hobby Lobby. I think I have like a home decor addiction. I love going out and finding stuff and not spending a ton of money like I got everything all of that was 50% off at Hobby Lobby. I love like home goods, marshals, TGMX, any place that has a little bit better of a deal like I get sick of things really fast so if in like two or three years I get sick of that thing it can just go away and then I don't have to feel bad about it because I used it and I enjoyed it and they loved it while I had it but maybe it's time to pass it on to another home so that's kind of how I feel about home decor stuff so I really like home decor. I think that's probably an addiction.  Hold on. I'm going to pull up the last image that was asking for questions. All right so I've got a great question. What is your next big purchase outside the couch? So you guys know that I got my sofa actually yesterday and my next big purchase is probably fingers crossed if no appliances break um doing some electrical upgrades in this home so that's my next big purchase um it may include a couple of new fixtures it may not I'm gonna have my electrician friend to come over here and talk about what I would like to do and then start ordering things or maybe going to the store together and buying a bunch of stuff but there are a few different things that I want to get plus I want to talk to him about some things that I want to do uh where there's not electrical currently to see if we can you know pull electrical from another area and all that kind of stuff. Hi Doyle hi hi oh my goodness this dog so that's my next big purchase but I will let you guys know when that happens. Another question is what baby step are you on? I'm currently on four and six but to be honest I'm not doing either right now um baby step four is 15 percent of your income going into retirement I don't have that happening right now it will be happening come December 1 and then um I you know pay off your mortgage early which I haven't been making extra payments at all to um just because I'm trying to get settled in and settled into the new job but as of the beginning of next year 2018 um I have plans on um you know making extra payments or paying more on my mortgage every month. Someone asked have you ever tried or thought about dating? Well I have dated several people in the past so yeah I guess I've tried it and I've thought about it and she says is there any anyone you've met that you may be interested in currently no um I'm not that into that I don't know how to answer that question I would need to meet somebody that is um worth my time I know that sounds kind of crazy but I for as boring as I seem I'm really busy a lot so I just need to find somebody that like sparks my interest enough to make the time for I guess and I haven't met that individual so no I don't currently have anybody in my life that uh I'm interested in and last Instagram question I'm gonna answer is what is your favorite scary movie um I wouldn't say it's scary because it's actually my favorite movie of all time which is silence of the lambs it is amazing and I love it um I'm not into like the scary like jumpy movies like movies um I am more into like the psychological thriller like kind of movies to make your brain work a little bit more so now let's go over to the Facebook the book of faces is I like to call it shone calmed and um let's see I think there was a couple of other unanswered questions on this social media outlet let's find it gosh I post a lot of things let's see so the first question on Facebook is going to be what do you put on your monthly planner spend well I have my monthly planner spreads here and I will show you exactly what I put on there it's really freaking boring you guys you want to see what April of 2017 looked like this is it absolutely nothing nothing exciting um I put in birthdays that's it and I don't know I don't know how I'm gonna set up my 2018 to be completely honest I just don't I just don't utilize it in the way that it probably should be utilized all right and the last question I'm gonna answer today um is this is kind of a long question but it says kind of a serious question I saw your post where you said your instagram account was hacked and a while back I saw the video where you cut up all your credit cards she says congratulations on that so I was just wondering if you signed up for the identity theft protection program uh Dave Ramsey recommends and if you think it's a good value honestly I know nothing about that I do listen to his podcast I know you can buy it through Xander insurance I think you know to be honest I've never looked into it I don't know what the price is I don't have identity theft protection maybe I should get it I don't know but honestly identity theft protection would not help me with social media they they would help with like banking issues and things like that so yeah um and by the way my account was hacked again after that too which I didn't post about because I got my account recovered very very quickly like within an hour or two but um yeah it's like people stop being stupid like leave other people's accounts alone like I don't under I don't understand why they care because then they got in there and they did nothing they didn't do anything so I'm like I have no idea people are just dumb sometimes but yeah I think that is going to be it today for the Q&A if you guys have any more questions for next week feel free to put them down below and I will get to as many of you guys as I can next week and you guys did see Doyle he was over here earlier but um we're not gonna do a big Doyle challenge today because yesterday with the sofa it was like all Doyle challenge the entire vlog because he was just so excited about the day sofa but anyway I'm gonna finally make some dinner because it is super late it is 7 14 it's hard to see but it's 7 14 p.m and um I'm really hungry and there's no light in here at all which is why there's like this weird overhead light and my face looks really funky but you know you do what you gotta do but I am in a jet thank you guys so much for watching I really appreciate it and I will see you guys in the next vlog bye guys


This way please, go ahead. Go ahead. Very colorful. No polls, no polls. Bring back a lot of bad news. You haven't discussed his findings at all in your speech. Mr. President, Daniel Ortega says that you've lost your senses about Nicolás. Well, he says he wants to negotiate with you, not with the country. I'll give the top controlator. Mr. Habib apparently couldn't find any public support in Central America for your policy of backing the country, sir. That's not true. I think you're looking at that poll that just came out. You're talking about public support. That's public. Pardon me, Mr. President. The question was to you, I should ask. I am delighted to turn it over. But that just isn't true. I mean, there's a recent poll that was run, a perfectly authentic one, which shows the majority of Central Americans, first of all, condemned the situation inside of Nicaragua. And secondly, the majority supports the aid to the country. Now, I just don't understand where you guys get this public opinion down. But what about the Central American leaders? Why aren't any of them backing the country? I wouldn't say that's necessarily so. They have their reasons as to how they express their position. I suggest that you look at a speech that Mr. Duarte, for example, made on Saturday, or ask the congressman who visited him the other day what they think, or look at a statement made by the President of Costa Rica, I believe yesterday, and see how he puts it. You've got to, you know, these fellows have code words the way we do. Okay, I'm saying they support all the leaders. I'm saying that they are concerned about the situation in Nicaragua, that they are stating their positions quite clearly, that they understand the significance of putting pressure on the Sandatees in order to bring them to a different approach, a political approach. I would suggest you also look at the statement that Mr. Duarte made, which has now been supported by all four of the democratically elected presidents in Central America. But do they support military support for the conference? As I said, they have their own way of expressing their opinions. I would suggest you look at their words. They'll take my words. Well, what did you gather? Okay, I think I'm going to be interested to know that in the Jean-Cathette's column of papers this morning, which she cited, the figures that I believe are of that whole organization that in some country the rate goes as high as over 90% of the people. Mr. President, are you going to send Ambassador Habib to Managua? You can send Ambassador Habib to Managua. Chris, I said no more. We haven't started the meeting. Okay, no more. You've had a full-press conference, and I think that ought to do it. Thank you very much. This way, please. We've got Ambassador Habib to speak. This is real news today. Very proud. This is real news here. This way, please. That public opinion is well known, except where you don't find out what it is. We're trying to find out for you. And we've got it all. Yes, it is. The public group is associated with the government. Yes, it is. It's got to be. It's a well-known, well-known thing. Yes. We're going to hold all this material together, the tolling, the different statements people have made, the endorsement of the others for Duarte's approach into a little package. I hope we'll have it ready for the noon briefing in the State Department. We'll put all that out. You've seen the full-page ads in the Washington Times and the Post, and two full-page ads by some group of citizens of our own. It goes back to that group that I told you about, that Max Campbellman's been... There's a strong, democratic flavor to that. Are you also working on this? Yes. I just wanted to go about the way these fellows expressed themselves down there. I asked Duarte to make a statement about supporting aid in the country, supporting the country. He said, well, I can't say it just that way. Because if I do, then I'm arguing that the Baratwins can support my opposition. So I'm saying it in a different way. He says, I'll talk about the barrier between them. Mr. Prime Minister, hello again. It's good to see you. It's better that you did. It's a suspicious day. And the ambassador? Yes. Secretary Nali. Secretary Nali. And I think I see your face. Wonderful to be here and wonderful to be there really, truly. Secretary Tantan also resisted greatly maybe peaceful settlement. Not that problem. And I like that. You even thought something different. They have to be here in Washington. The agreement today on the Baratwins and the Baratwins come in contact. They seem in contact with each other. She's a political man. She's very unusual. It has been strongly supported in the United States. They've been part of the Baratwins. In our own Baratwins. They've registered the support of our Baratwins. They say that they are part of the Baratwins. They're most of them. And amongst our people, four-fifths of our people who have shown their support. Both are in Northern Ireland. They've been straightened up by people. It's the last that's happened. The problem lies, of course, between this side and then having for a century been encouraged to allow them to believe that they've returned not merely their membership. What I have to do with the British government is in the year of the Statue of Liberty I think we've been having some very important presentations. This is a letter again that was made out by Fathesville in Washington. It's something that we want to give from the people of Ireland to the people of the United States in every sentence. That's an important gift. And of course, that is most important in this government. Behind it, it will be joined in the year by the appointment of St. Patrick's Day. Friendship.


Okay, first of all, I would like to thank the organizers for the invitation. It's a pleasure to be here Again after I think last time I came here. It was something like 10 years ago Okay, I'm gonna talk about a metronome dynamics Let me introduce the base setup You have R2N with the Canon Cosme platform Given by this guy which which is exact is given the primitive is lambda is the Leoville form is lambda And you have a tip come a tonion right class come a tonion. It's a proper a metronome is Homogenous of the grid to such that the energy levels are compact a Compact the regular energy levels are compact some manifolds more precisely compact spheres so the regular energy levels we take K K is a regular Value so the previous of the pre-image the regular that the the regular the energy level is a star-shaped sphere The fact that it's homogeneous of the grid to implies that This level sigma is star-shaped is a star-shaped sphere Is a star-shaped sphere in our train what means star-shaped? It means that it's transversal to the radio vector field Okay, so you have the radio vector field here This is transversal to the radio vector field Okay, for instance in the convex case So you have these spheres which are the regular energy levels of the metronome and you want they are invariant by the metronome flow Okay, and you want to set the study dynamics of the metronome flow on sigma on these energy levels Okay, it turns out. It's easy to see that The study of this the these dynamics the the metronome flow of these star-shaped hypersurface the Dynamics is a key is equivalent to the study of the dynamics of brief flows on the standard contact sphere What it means if you take this fear the take for instance the round sphere S 2 n minus 1 in R 2 n Okay, and then you restrict lambda the levial form to this fear Okay, I take the restriction. Let me call alpha is lambda has trickled to this fear And then you take the kernel of alpha The kernel of alpha I call this psi the kernel of alpha This is what this is one dimension one distribution on the sphere. This is what we call a contact structure Okay, and now take any contact form one form on the sphere Let me call Alph beta Take any comp take any one form on the sphere such that the kernel of this one form is this psi Okay, so take this fear the round sphere and now take the restriction of the levial form to the sphere and then they take the the kernel of this of this restriction of alpha and You have this distribution is a contact distribution and now take any One form such that the kernel of this one form is psi of course lambda is such one form But you have a lot of possible one forms that satisfy this condition Okay, and now associated to this one form what this is called a contact form Okay, you have a canonical dynamical system is the rear vector field It's uniquely characterized by the following two conditions the first condition is that that make out is our beta is that the contraction the contraction of the differential of beta is Zero so our beta is in the kernel of differential of beta and the second condition is a normalization condition namely that beta apply it to the to the river to this vector field is constant equal to one This is called the rear vector field So associated to it to any contact form beta like this. That's fine this condition. You have this canonical dynamical system Okay, and the study of this Rib flows of the flows of these rear vector fields is equivalent to the study of Hamiltonian flows Like like this restricted to this energy levels Okay Is it clear? Okay, we have we want to study the dynamics of these rib flows after the Hamiltonian flows on sigma and if you want to study dynamics the dynamics or of course the Since the regular the energy levels regular you don't have singularities. So the most basic Dynamic objects are the PDH corbids So if you want to study dynamics, you look for the first thing you want to look for you want to Look for are the PDH corbids Okay, and the key point And the key point is that this periodic orbit in the Hamiltonian set up In general if you have a float find periodic orbit is something difficult, right? You don't have something to start with but in the Hamiltonian context. You have a something very useful which is the fact that Critical a periodic orbits are critical points of the action function. You have a variation of structure Behind the PDH corbids more precisely what you can you have the following. So you have this Hamiltonian And associated to this Hamiltonian you have the action functional. What is the action functional? You consider the space of Close curves with fixed period t Okay, you know to end and you associate to this space of cool of the You have a functional in the space of these curves, which is the action functional associated to the mettonian, which is given by this Is the integral of lambda lambda is the primitive of the simple form is a reveal form over the closed curve minus the integral of the mettonian Along the closed curve And it turns out it's a it's a classical fact that the PDH corbids are critical points of this function So we have as I said this variational structure to find PDH corbids Okay, so now denote by P the set of simple PDH corbids on Sigma simple means the following of course whenever you have a PDH corbids If have a PDH corbids Then you have actually infinitely many PDH corbids why because you can take the iterates of the orbit They are different orbits. Okay, but the simple means exactly that It's not it's not the iterate of some period corbids Okay, simple means it's not the iterate of some PDH corbids So they're not by P the set of simple PDH corbids on Sigma we say that Sigma is not degenerate if every PDH corbids including the iterates of simple ones are No, are not degenerate it know the general degenerate means the following means that if you take the first return map and Linearized the first it take you the linearizer punk ahead map the linearizer first return map. It does not have agent value one Okay, a pediatrics color is lipstick or stable if every agent value of its linearized punk ahead map has models one Okay under generic conditions why elliptic orbits are important because under generic conditions The existence of elliptic pediatrics orbits imply a rich dynamics. You have positive topological entropy and Well, you have a lot of you have very rich dynamics under generic conditions And they're not by P the set of simple elliptic pediatrics orbits Okay, so I have a P is a set of simple pediatrics orbits on Sigma Sigma is a regular energy level and P is a set of a simple elliptic pediatrics orbits on Sigma Okay, and the goal of this talk is to study the multiplicity and stability of pediatrics orbits on Sigma In other words, we want to get a lower bound for P for for the cardinal for the cardinality of P and P This is the go of the talk and there is a classical conjecture. I am a turn and dynamics I think it goes back to point ahead That states that That You have at least n pediatrics orbits simple pediatrics orbits on any Sigma and at least one elliptic pediatrics orbits One elliptic pediatrics orbit This is a classical conjecture This is very important here because in general dynamics you look you consider generic dynamic Well in dynamics here in this conference because most of the talks you consider generic The dynamics in under generic conditions, right? The point here is that we are not considering generic conditions We are taking any Sigma any I'm a Tonya as before Okay under generic conditions you can show You can show in fact that P you have that you have infinitely many elliptic pediatrics orbits under general under C to generic conditions So the problem is is that we are not assuming Generic conditions we are considering any star-shaped I press star-shaped sphere in our train And we want to get this lower bound for the number of simple pediatrics orbits and for the number of elliptic pediatrics orbits Any questions so far is no is no you can see actually what we what is known as the following See infinity generically you have infinitely many pediatrics orbits and see to Generically you have infinitely many elliptic pediatrics orbits But if you don't assume generic conditions, you do have examples with finally many pediatrics orbits and The easiest example is given by an irrational ellipsoid in our train It carries precisely any pediatrics orbits a little irrational ellipsoid is the following to take an ellipsoid take coordinates you You identify R2n with Cn take complex coordinates Z1 Zn and then a rational ellipsoid is Something given by this Where are E square these are our I square are rationally independent And these guys are rationally independent Then you take sigma given by this equation Then it's easy to see that you have precisely any close orbits Okay, the Hamiltonian force completely integrable is foliated by invariant or I and you have precisely any pediatrics orbits And it's known to generate Of course you can ask why why why why if they are rationally dependent then you have infinitely many Dependently have infinitely many yes For instance well for instance if it's one for the case of the wrong sphere all the orbits are closed But in general when they are rationally dependent you have infinitely many Of course you can ask why the low why you have this lower bound N Something magic why why where it comes from right right and pediatrics orbit has a topological meaning Which is the following? It turns out that you know so you say you have this standard contact sphere, right? This you have this sphere with this contact structure There is a general construction in simple geometry called the pre quantization bundle, which is the following I can explain you it's not so so important in this talk, but it can explain you in few minutes If you take it's a way to construct contact manifolds from simplatic manifolds in the following You take some simplatic manifold be omega And you assume that the carmology class of omega is an is an integral carmology class Okay, so you assume that the carmology class belongs to aid to be Z Okay, under this under this Assumption you can construct an S1 bundle over B. There is an S1 bundle over B Okay, which is a whose other class is the carmology class of omega and it's a contact It's a contact manifold Okay, and it turns out that the standard contact sphere this is called the pre quantization bundle of B the circle pre quantization bundle of B and it turns out that the sphere is The pre quantization bundle the sphere s 20 minus one is the pre quantization bundle of Cp any minus one Okay, is the this is the circle bond in this in this case. It's just a hop vibration Okay, and N is a total rank of Cp any minus of the homology of Cp any minus one This is the reason why you have this low the topological reason why you have this lower about N For the standard contact sphere of dimension of dimension 20 minus one in general You what what you expect is that so you have this general construction In general what you expect is that whenever you have this pre quantization bundle Then you have at least our Pediatric orbit simple pediatric orbits where are is the total rank of B with rational coefficients And at least one elliptic pediatrics one elliptic pediatrics. This is what you expect in general Okay, but unfortunately Sorry, it's far from being known. It's a very hard problem Even for the standard contact sphere. It's far from being known. Yes What so again no no no no actually you we expect that for the sphere you have at least any elliptic pediatrics There's a good point But it's a harder problem. It's a harder problem. Yeah, but we expect that you have at least actually we actually expect that if you have Finely many then all of the pediatrics orbits are elliptic like in the in the way Like in the rational ellipsoid in the rational ellipsoid they have precisely any pediatrics orbits and all of them are elliptic Okay, so let me give you a state of art of this problem a Survey of No results Now first support without any condition on Sigma Sigma just a star-shaped sphere Well without any condition the first result was obtained by Habinovitz in 1978 he proved that you have at least one pediatrics orbit and It was really not trivial because of the fall the the breakthrough of Habinovitz was a falling fact Well, we know that the closer orbits are a critical point of dysfunctional but this functional So it's like in the case of your desk flows right for when you want to find close your desk You take the you take the energy functional and you want to find a critical point of the energy functional In the case of the Jodesk flow is easy to find this Okay, essentially easy right because of why why because the energy functional in the case of the Jodesk flow is Is well behaved it satisfies palace made it's bottom from below The Morse index of the critical points is The Morse index are finite so you can you can use the classical Morse theory, but unfortunately this functional Is very ill behaved Okay, it's not bound from below the Morse index are typically infinity So you cannot use classical Morse theory like you do in for Jodesk flows So Habinovitz was the first one that showed that you can do you can use this Functional to find pediatrics orbits, but in a completely non-trivial way Using what the so-called mountain pass lemma It was the first one that showed that this guy is really useful Without assuming any condition on sigma That's the point more recently Christopher Gagini and hot chains and And then in a joint work with Victor Gainsville Doris high and umbata in evics We prove independently that for this fee that's three you have at least two and You long also prove this result using a result that in in our paper in this paper with Gainsburg high in in the abyss Okay, so for S3 Without any condition you have at least two close orbits When Sigmund is known to generate Namely that you remember that the linearized book a map does not have does not have agent value one Then it's easy to see that you have at least two Pediatric orbits in any dimension Okay, but you see in general the difficult cases that is that is the den is the the generate case And for the elliptic orbit no general no general result is no We don't know if you have at least one elliptic orbit in the general situation You just don't know without assuming a some generic condition. Okay See yes The point is that that's the point right because of course you can approximate But you you don't have control of the time of the pure of the of the orbit You have no control because you find this you have you find this periodic orbits using Sometimes you prove this using contradict an argument by contradiction So there is no hope to to control the the peel of the orbits to get something the limits in general Okay, now assume now, so now let's assume something on the on the on sigma suppose that segments convex What what does it mean? It means that it bounds a strict convex domain Okay, so it's more it's something more restrictive. So in in general you have a star-shaped Upper surface right but now suppose you have something convex Okay Then in this situation The the results are better The first result is due to echelon hofer They prove that in any dimension you have at least two periodic orbits two simple periodic orbits in 1987 And then a very important very remarkable results remarkable work of long zoo of 2002 They prove that you have at least the flour function of n over two plus one periodic orbits Wang which was a he was a student of Long improved this bounds when n is odd Getting this the sailing function of n over two plus one Okay, so improved by one when n is odd Okay, but you see any this is a very hard question. So if you improve this by one periodic orbit, it's a very good result This is very it's in principle. It says, oh come on. It's just one periodic orbit But you're not assuming this is generally you just assume that's convex. So any improvement just by one periodic orbit is very important So you will get this improvement When by one when n is odd and so you see when n is four The the previews the previous in a quality gives you three periodic orbits And Wang later in another paper published in the semi-year, but He improved this this this result in dimension when n is four Okay, getting the expected lower bound Okay, good question There are two two main reasons first of all The variational methods in the convex case in the convex case are the variational methods are easier because you see this Functional in general is as I said is you behave But in the convex case you can replace this function by some dual functional, which is much more tricktable It's much much much is much better Okay, and the critical points of this new functional correspond to the critical points of this Correspond to periodic orbits and the other thing is that convexity implies some conditions on the index of the periodic orbits Which are very useful to get periodic orbits These are the two main reasons why the convex case is Easier or less hard than the general case Well, see Convexity is a c2 open condition c2 open condition No, it's strict convexity Yes, I mean strictly convexity But that's that's the the points the variational methods and the the index of the periodic orbits And in the non-degenerate case in the convex case you can show that the conjecture is true. You have at least any close orbits But in the non-degenerate case, as I said the important the important case is the The generate case is the hardest case And what about elliptic orbits? They prove that if you have finally many periodic orbits, then you have at least one elliptic orbit In other words, if you have if you don't have elliptic orbits Then you must have infinitely many orbits It's not a good result, but that's what they prove Okay, now, okay, so we started with star shape it It's something more Something general and then we restricted to to to the convex case And now we impose another restriction. Namely We suppose that sigma is invariant by the tip of the map So it's convex and Symmetric in the sense that it's invariant by the tip of the map Then It turns out the result that the results are much much better You can prove that you have at least any close orbits Without any only assume that the symmetric and and and and and uh convex Without any non-degenerate assumption okay, and This is due to new long zoo. Okay the first result and the lantone don't offer Eklund proved they proved in 1995 That in this case you get at least one elliptic orbit Okay, so in this symmetric case in this convex symmetric case We do have a positive answer to the original question Okay, now, let's think about this convexity assumption convexity assumption, right? As I said Assuming convexity you use classical version of rational methods and such methods for this classical version of methods You need really convexity because as I said because in the convex in the in the in the convex case You can replace the actual functional by a good by a good functional. So you have good rational methods But the point is that If you want to generalize these results for more general workflows The first thing you realize is that convexity is not a simple condition. It's not a simple invariant You can take a convex surface And it's easy to construct it is easy to see that you can find a simplectomorph is such a simplectomorph is In order to end such that the image of this convex guy is not convex anymore You can see this in the plane right you can take some You can take a convex A convex region in the plane then you can apply some some simplectomorph is in the plane Which sends this to something something not convex So it's not a simple condition The convex is not simple condition You are using the fine structure of our train so a natural question Is how to generalize the previous results? replace the hypothesis of convexity by a simplect condition And and as I said, this is important to try to to to generalize these results To to more general contact manifolds Using for homology. What is for homology? I will not give details about for homology. I will not discuss about for homology I don't have time for this but remember these action functional is ill behaved if Fleur was the first one that Showed the way to to to use he construct a Morse A Morse homology for this action functional He showed how to how to to to use Morse theory for this function So It it works in it works on general simplect manifolds so So to to get together simplect condition is important if you want to generalize these results for more general contact manifold Contact manifolds, okay for more general rib flows How to understand convexity from the simplect point of view And the first definition in this direction is due to Hofer-Wieselke-Zehnder Is called the dynamical convexity. What is dynamic convexity is the So sigma is called a dynamic convex if every Simple periodic orbit has colonies and the index bigger than or bigger than or equal to n plus one Well, I'll not give you a precise definition definition of the colonies and the index But in the case of closed shard asics, it's the is the Is the usual Morse index, okay? I'll not give you that details about this But the but the colonies and the index is defined in terms of the linear rise of the metronome flow along the periodic orbit Okay, so this is the dynamical convexity Okay, so every periodic orbit has index at least n plus one It's not hard to see that if sigma is convex, it's dynamically convex Okay, this is the second point that about your question What is special in the in the convex case one thing that is special is this is that in the convex case You have dynamical convexity something that something Actually, it's a very good question and we'll talk about this later It's a very important question if there is some example of of Of a very good question if there is some example of dynamically convex sphere Which is not simple to morphic to some convex sphere. It's a very good question. We don't know Of course, you see of course Of course, the name for convexity is a variant by is a variant by simplectomorphisms So if we take if you take some something convex Then the image can be something that's not convex by some simplectomorphism, but it's it's a dynamically convex But the question is if there is some example of a dynamically convex sphere that is not given this way By the image of convex one by simplectomorphism This is an important question Important and difficult in difficult question So clearly the dynamically convexity is a condition variant by simplectomorphism It depends on it. It's it's it's it's defined in terms of the of the index of the periodic cooperative is invariant by simplectomorphism And and why you have this lower bound n plus one, but there is a homological reason for this I don't want to give you details about this, but essentially Associated to this associated to this to the center context sphere You have the what we call the contact homology is a kind of fluoromology for the standard contact sphere And this is a graded group The chain complex generated by the pedagogical orbits and blah blah blah and what you can show is that This contact homology is as a morphic to q. It takes rational coefficients for degrees The the the grade is given by the columns and the index for degrees n plus one n plus three and so on and zero otherwise So any plus one is the lowest no trivial degree In contact homology for the standard for the standard for the standard contacts for you Okay, so now assume that sigma is dynamically convex Which is a simple condition What are the results of for the for the lower bound? of periodic orbits The first one is a joint work with miguel abril. We proved that you have at least two periodic orbits in any dimension It was published in 2007 last year There is another result which is a generalization Of the previous result in the convex case Due to geeseberg url the preprint appeared three years ago Okay, but it was it appeared after or after my work with miguel abril That they proved that you have at least n over to the the sale of function of n over two plus one And good kind proved that in the non-generate case you have at least any periodic orbits And and with abril we prove as in the convex case that if you have finally many Then you have at least one elliptic periodic orbit In in in my work with abril. We actually Have results for more general contact manifolds using a more general definition of dynamical convexity using contact homology using this Using the contact homology of the corresponding contact manifold. Okay So we were able to generalize the results for more general contact manifolds assume some sort of dynamical convexity Okay, so we have these results So remember we had results in the star-shaped case in the convex case in the cement in the convex symmetric case Now the results for in the dynamically convex case. So now assume that's the name you have dynamical convexity and That the end that sigma is invariant by the tip of the metric It's a metric Just like in the convex case, but now assuming only dynamic convexity What we have We have at least one elliptic periodic orbit Like in the other tunnel don't offer you echelon in the convex case And as before we proved actually this we got results for more general contact manifolds Assuming some sort of dynamical convexity And since we are not assuming convexity the proof Are not based on classical variational matters We really need to consider this this action functional, which is you behaved But now we use for homology To do with this to do with this So, okay So remember we want to find the lower bound for for the periodic orbits for the elliptic periodic orbits Assume dynamical convexity and that is invariant by the tip of the map then we have at least one elliptic orbit in the convex case we Assuming in the convex case in the symmetric assuming symmetry and convexity. We also have any periodic orbits so another question is Now suppose that sigma is dynamically convex and symmetric Is it true that you have at least any periodic orbits like in the convex case? That's the question Now we have a simple condition and and we have the symmetry the question is if the if the result in the convex case holds under this assumption that is dynamically convex So far, we don't know how to prove this using only dynamic convexity We need something stronger a bit stronger. That's what we call strong dynamical convexity in order to define strong dynamical convexity, I need some Normal forms for the agent value one Which are the following? So you take a sympathetic matrix suppose that it's totally degenerate it means that All the eigenvalues are equal to one Okay, then you can show that a this the the sympathetic matrix is given by the explanation of jk Where k is a symmetric matrix with our eigenvalues equal to zero And you have the the following Normal forms for k Have four types of k okay k Can be the identically zero quadratic form Can be given by k zero in that in in that way when where d is bigger than or equal to three Or can be given this way you have this sorry three Three types of three normal forms for the agent value one Okay, and we define b plus minus a as a number of This the the number of q of q plus minus that appear in the normal form okay This is technical condition, but It's important okay So b plus b plus minus are the number of Number of times that the third Normal form appear For the for the matrix Okay, and now given a symplatic matrix a general symplatic matrix and now you take the generalized generalize the agent space Of the agent value one Restricted the symplatic matrix to this to this guy and you define b plus minus as As before with p restricted to to this generalized generalized agent space Examples to dimensions Well for the identity of course the quadratic form is zero So b plus minus is zero and for these guys It depends on the nipple on the new potent part Is a computation you can show that in these guys you have this Okay And now given a close orbit you define b plus minus as The b plus minus of the linearized pancay map So you see in particular b plus minus is zero whenever the periodic orbits now degenerate because you don't have any value one It's it's not zero only in the in the in the the generate case so Now what is strong dynamical convex convexity? Suppose that sigma is invariant by the nipple on map Okay And and then you can you then you write the set of simple periodic orbits as the joint union of the symmetric orbits and non-symmetric orbits Symmetric means that the orbit the image of the orbit by the nipple on map is the is the orbit itself And non-symmetric if it's not symmetric If the image is not the orbit And then we have this definition We said that sigma is strongly dynamic convex if If it's a dynamically convex in the sense that every periodic orbit The index of every periodic orbits at least n plus one but now we have this additional condition Namely that for the symmetric orbits you have this inequality Involving the index and b minus and b plus And for the non-symmetric orbits For the non-symmetric orbits you have the same condition, but only for the second iterate Of the orbit Okay It's a technical condition It's important and and and and and and and again Of course in the in the in the in the non-generate case It's it's the same as dynamic convexity because in this case b minus and b plus are both zero Okay, so in the non-generate case b minus minus b plus b minus is the number of of the of the q minus that appear in the Normal form and b plus is the number of q plus and in this example in dimension two you have this Okay It depends on the on the on the normal form of the eigenvalue one It's really important because we are considered the the generate case, which is the hardest one Not really because you see depends also depends on the on the index So as I said as I said when sigma is non degenerates Strongly dynamical convexity is equivalent to dynamical convexity because b minus and b plus are both zero And in general when the when the eigenvalue one is semi-simple namely that geometric and algebraic multiplicities are the same Then these conditions Dynamical convexity is equivalent to strong dynamical convexity Okay, because in the same simple case you have the the norm The quadratic form is the zero form right you have the identity And the strong dynamical convexity is invariant by symptomomorphism that commutes with the tip of the map And then we have this result If sigma is convex and invariant by the tip of the map Then it's strongly dynamic convex So we realize that convexity implies more than at least in the symmetric case Convexity implies more than dynamical convexity You have this slightly stronger condition In the degenerate case It was a very important point And then what we prove is this Suppose that you have you have a symmetric Strongly dynamic convex convex sphere Then you have at least any close orbits And actually we get we got two results That one and this one The second result we don't need to assume symmetry Now instead of assuming symmetry you assume the following condition assume that you have this condition For every simple periodic orbit Okay, then you have at least any close orbits, but notice that this condition is Stronger than than the the first one why because remember strong dynamical convexity means that the conditions that it's That it's the the the star is dynamically convex and you need this this condition for the symmetric orbits And only for the second iterate of the non-symmetric orbits But here in fear in the in the second theorem We are supposing this condition for every simple periodic orbit. So it's a it's a stronger condition So under this condition you get at least any orbits But we don't assume symmetry in the second theorem Okay, so as I said it's important to mention that it departs a theorem too Possibly it's not satisfied when sigma is not convex when sigma is convex in fact It's through the linear in the linear level you can construct a positive sympathetic path which is Which is a it's a it's a candidate of a periodic orbit of a convex sphere that does not Satisfy this condition So probably probably convexity does not imply this condition for every periodic orbit okay, and as a corollary of this result of the of the second result as I said Where you see when when when when when the when the eigenvalue at eigenvalue one is semi-simple B minus and B plus are both zero So in particular we get this corollary suppose a sigma is anemic convex And the eigenvalue and the eigenvalue one of the linearizer punker ham app is semi-simple then you have at least any periodic orbits So we have the result assuming only dynamical convexity, but we need to we also need to assume that The eigenvalue one is semi-simple In the non-symmetric case Okay, very good. So so as I said before A Dynamic convex sphere does not need to be convex right because you can take the image of a convex You can take a convex guy and take the image of this convex guy by some simplectomorphism. It does not need to be convex Right, of course So but dynamical convexity is invariant by simplectomorphism So so this guy is not this guy the image of this convex guy by this simplectomorphism Is not convex, but it's dynamically convex because this guy's dynamic convex in dynamical convexity is invariant by simplectomorphism So an important question in simplectopology is this one Are there examples of dynamically convex spheres? They are not simplectomorphic to convex ones It's a very important question In simplectopology It's a way if if if for instance if it's if it's if every if If the answer is no, then it's a it's a We would get a simplect characterization of convexity, right? We would get that convexity is equivalent to to the dynamic convexity, which is a simplect invariant and We got the following negative For the following positive answer to this question in the symmetric case When n is bigger than 2 We prove the following Given any bigger than 2 then there exists a symmetric dynamic convex sphere That is not equivalent to a convex one, but Is not equivalent by a simplectomorphism that commutes with the antipodal map We need to assume this Unfortunately So we have a we have a positive answer to that question, but in the only the symmetric case Assuming that assuming also that the simplectomorphism is symmetric in the sense that it commutes with the antipodal map In this case we have We have examples of dynamically convex spheres that are not equivalent to convex ones And how we construct this example The idea is the following The example is given by a symmetric dynamic convex that is not strongly dynamic convex More precisely in the example what we have We have we have a symmetric orbit. We have a symmetric orbit in the example That does not satisfy that condition Have some gamma s Symmetric orbit in this example such that That's the point So in particular the example is that this orbit is is is degenerate The example is an empty convex so the orbit the orbit does satisfy this condition So it's dynamically convex But it does not satisfy it does not satisfy that condition that that condition that this this This guy is bigger than or bigger equal to any plus one That's the point and strong dynamical convexity is invariant by simplectomorphism that commute with with the antipodal map So We get the result The construction is very technical. Okay, but the the point is this is to find the We need we need only to find this symmetric We need to find a symmetric orbit satisfying these conditions What you also need to show that all the other all the other periodic orbits Are than empty convex namely the all the other all the other periodic orbits satisfy this condition So all the all the all the all the periodic orbits satisfy this condition This condition, but you have a special one a symmetric special one that that Does that satisfy This condition That's the point So summarizing We have three important questions Which are the following That you have at least any close orbits any simple close orbits at least one elliptic orbits And the question convexity vast versus dynamical convexity In the in the symmetric case. We have good results So for the first for the first inequality, we know that it holds under the assumption of strong dynamical convexity Okay The second inequality holds for assuming dynamical convexity and the third And for the third question, we do have examples of Dynamically convex spheres that are not equivalent to convex ones Via simplectomorphism that commutes with the antipodal map So in the symmetric case these three questions have good results not complete not complete results, but good results And in the non-symmetric case things are worse Okay, we don't know if one and two holds only under the assumption of dynamical convexity Okay Under the assumption of dynamical convexity, we have only for for the low for the number of periodic orbits. We have only that Only this Okay, assuming only dynamical convexity And we have no lower bounds for the for the number of elliptic orbits Even assuming as a dynamical convexity If you don't if you are in the non-symmetric case And we don't know examples of dynamic convex spheres that are not equivalent to convex ones Okay Of course, you can ask why the symmetric case is easier or less hard It turns out that The reasons are different Okay We use the same in the proofs of this of these true inequalities. We use the symmetry We use the symmetry in different ways. I don't have time to give you details, but They appear that we use this in different ways. Okay There is no common reason Why the symmetric case is less hard than the non-symmetric case And and as explained before in for the for the example of dynamic convex Example of of a dynamic convex sphere that is not equivalent to a convex one. The point is to construct A symmetric dynamic convex sphere that's not strongly dynamic convex. That's a point. Okay This is the last slide and further directions Okay, once you Once we have a simple condition to get BD watch quad, it's it's natural. It's natural to ask to turn out to try to generalize these results for more general real flows and so future question future direction is to extend these results for Contact forms or more general contacting variables, which are invariant by some special z2 action free z2 action We already have some partial results in this direction Okay And to finish We have this question It's a very important questions for people in sympathy in sympathy apology Other examples Of dynamic convex spheres that are not equivalent to convex ones via any simplectomorphism Because what we got what we proved is that we got we got examples That cannot be equivalent via simplectomorphism that commutes With the tip of the map But we have no idea how to improve this result For any simplectomorphism How to get an example of dynamic convex sphere that's not equivalent to a convex one All right, and as I said, this is important to To to have a simplect characterization of convexity. What is convexity from the simplect point of view? Okay, that's all. Thank you very much Yes, because then in this case when you The restriction of the sympathetic matrix to the to the generalized agent space is the identity The identity There is no new potent part is just just the identity Yes Yeah, more precisely The way that they appear and the proof it's related to the what we call the splitting numbers it's it's a bit technical, but there is a If you give me one minute, I can try to explain you There is a construction due to bots It comes from the geodesics Well for a sympathetic path, so you have a sympathetic path, okay? And then you have a function which is called the bots function will have a function defined on the circle Such that a function bots function Taking values in z integer values such that this function It's it is it's it's continuous except at except possibly at the eigenvalues of the of the Final point of the sympathetic path Okay So so you have these eigenvalues So in other words, this function is constant except possibly at the at the eigenvalues with with modulus one So and this function has the following remarkable property that if you take the index Of the cave iterates of the orbits It's nothing else that When you take the sun of the of this function of the k roots of the of the unity in the circle So so these functions are constant except at the eigenvalues. So at these eigenvalues you have the have a jump You have this what we call splitting numbers and this b plus and b minus are related to these splitting numbers something technical, but This is a very nice construction due to bots


Welcome back folks. This show is being recorded today live at 818 in the morning, well between 8 and 9 actually and being replayed for you between 1 and 2. We're going to make this show as pertinent as we can if you're listening in at the normal time. I'll be back to my normal time tomorrow or should be. So let's go to John and Philly. John, thanks for calling. Thanks for holding. How are you doing this morning? Steve, I'm doing excellent and thanks for taking my call. I just have to say parenthetically it's terrific to have you doing your show at this time of day, especially given the market action the past couple of days gets us all set and prepared to handle whatever comes the next day trading hours. Yeah, no, thank you. Look, first thanks for that. And it is fun to do the show certainly before the market opens because we get to look at the different patterns inside the equity futures contracts and take a look at both sides of the trade out there. So I know that you're calling about the S&P 500. Is it the cash indices that you want to take a look at? Yes, Stephen, I'll give you a first background and then a specific question, please. First by way of background, I actually a great many of the TF&N team for scrutinizing closely and getting us prepared. And it's a vegetable turn lower, which I've been speculating the high that occurred last Wednesday, May 1st in reaction to the rally in Apple's turnback. Mine is the fact that price got up to the September 21st high of last year, 29.8, excuse me, 28.94 level. You've been highlighting that the daily ESM-9 charts, the derivative of a Chapman wave like G, and we all like to make forecasts. I just like to be prepared. And in short, if I decline to lower lows, we get over so 28.94 is keeping resistance. 29, we've got a 6.7 point range there that it's obvious to all of us we can try to resell against those levels, please. What are the, from your work? So where they, I think, John, so let me, let me see if I can, let me start answering the question and then you kind of keep me on the right path here. So the first here's what we know right now at 8.22 in the morning. We know that that key level of support at 28.94 has failed. And as long as price remains below that, it says this change in trend signal is real. Now, that doesn't mean that we're not going to have some very large countertrend rallies in the market. I suspect we are. I suspect it's going to take people by surprise again, but it won't take you and I and all the listeners here by surprise. And we'll go through that and why that is likely to happen. But right now the next key level to be watching inside the ES mini is going to be 28 58. And we just simply take a look at that. We know that that's a weekly profile. The cool thing is that's a profile that formed right now. So that's the play between the buyers and sellers that is on the field right now. In other words, the ball's been advanced. It's been able to have moved past the midfield out there, which we'll call as a 28 94 level. And now sellers are going to try to press the metal and they will press the metal and succeed and make their way towards the end zone. If price is able to close below 28 58. That is the next key level of support out here. Now to go back to the fact that what we both agree on out here is that we're the S and P is also in a consolidation pattern. It's more clear in the Dow. But if we just simply look at the quarterly timeframe chart here, John, for the ES mini and we take a look at resistance being 28 85. You're asking where can price bounce to that would certainly be a level that I would be watching. But where is it that price can pull back to? So where's the larger picture? If in fact what we just entered into while we're in the unfavorable seasonal cycle is a intermediate term top, there is actually no reason from a profile standpoint and other levels will have to fail. We're in the bigger picture price couldn't make its way down to 24 67 or 23 27 out there. Again, no forecast not making a forecast just providing you and I with some line of sight work to help us understand where there's other support that maybe others would not have noticed. Now the monthly timeframe chart is really kind of interesting out here. This is the ES mini and right now price is contending with the top of that monthly profile. So 28 92 is a key level. If it come the end of May, price is close to above that. We're gonna have to re look at the the signals out here. But it's it's really inside the ES mini. On a monthly basis, John, let's say for the month of May, what you'd really be looking for to give you that downside push information that larger change in trend, I would say would be a close below that 28 28 level that happens to be the center of its profile. So the center box, this is the lower left hand panel folks that we're looking at that what that represents is on for that specific timeframe monthly, both buyers and sellers are believed that there's fair value. So a long term trader would be saying, man, if price could pull back to 28 28, this would be the bulls talking. I want to take a position here. But we also know that the top of the box is where sellers are just simply lined up. Just think of this. I just like a football analogy out here is understanding both sides of the team. And so when and since the center of the line of the box is closer to the top, if price can get below 28 28, then that really opens the move to 25 75. I know that doesn't answer all your questions. Why don't you hang on through the break and it can formulate what I didn't answer for you. We'll go take a look at that too. Steve Rhodes with TFN will be right back with John and Philly. Take a look at the S&P 500


Bone is composed of a unique combination of minerals and proteins which gives it its remarkable strength and flexibility. Collagen-based bone substitutes have been developed as alternatives to traditional metal implants, but their mechanical properties are still inferior to natural bone. This paper reviews the current understanding of the structure and mechanical properties of bone and suggests that mineralized collagen may be a suitable alternative to traditional metal implants. Factors such as loading and collagen mineralization can influence the mechanical properties of these materials, and further research is needed to optimize their performance. This article was authored by Yu Myeong-yo, Tian Ming-du, and Yu Jun-lu.


Yeah, thank you for your help Yeah, hi, I'm Samuel working for CIB, and I'm going to talk about improvements we made to document signing and encryption in the last year Yeah, I have two topics the first is signature lines What is that? Why is this is it useful and what did we change from there and the second is open PGP support? Yeah, part of the second topic was already held at the LibreOffice conference was there might sound Yeah, you might have already heard parts of that, but yeah Okay, let's start with signature lines Signature lines are a visual representation of the document signature. I'll show that in a document later So like you have in a handwritten document you put your signature in a predefined field You can also have this for digital documents and connect it with a real signature so that You see whether the signature is valid or whether the document was changed after that Yeah, that's the idea combine it this handwritten signature, you know from Paper documents with the digator signatures we have in LibreOffice Microsoft Word and Exo also have this feature. So it was also An attempt to improve interoperability Yeah, so what's working there since LibreOffice 6.0 the OO XML input is working This is the only thing I can show now Because I don't have the master build on this laptop, sorry And in the current master build there is also full OO XML roundtrip working. So you can save them again ODF export import Yeah, ODF export is working import is to be done and you can generate new signature lines there's a dialogue for that and edit existing ones of course and And You it should be able that you then can also sign these signature lines This is also to be done and hopefully done until 6.1 Yeah, let's have a quick look So how do we access my? media Or we can also go to the folder there Yeah What you have a master build here? Maybe I can just start mine. Can I open a terminal here? How do I make this backslash forward slash And Okay, so we have a new menu entry in the writer it's insert Signature line then you get this dialogue you can enter suggested signer. It's me then no title Yeah, whatever Then you can specify whether the one who signs this can add comments and whether the sign date should be shown and Then you can add Comments, please sign here and What you get is just a shape which looks like this traditional signature line and this is Yeah, and then you send the document to someone and ask him Please sign it and he doesn't have to print it and scan it again with his handwritten signature, but you then can This is not implemented yet, but he should be able to Right-click sign and then he gets the digital Certificates and keys he has and he can choose his personal key or certificate he wants to use for signing and then sign it's like you have here with the Digitr signatures Yeah, you go to this dialogue sign the document select your certificate if you have one Yeah, there even are a few Yeah, and then this shape will change and it will display the name You entered you might also specify an image like if you want your handwritten signature there And then when loading the document The signature will be evaluated When the signature is valid the document wasn't changed it will load the signature and if not it will load Like it will strike through the signature and you will see On the first side that this document was changed and the signature is no longer valid Yes, that's the first part Questions to this topic so far signature lines Yes, I Even had prepared two documents, but I can't load them at the moment. So if you just change one character or whatever Yeah, this already worked before with the digital signatures we have Yeah Yeah Hopefully six dot one It's a what I say It's a customer that spawned this. I don't know if I can name him but Yeah, so this will most probably make it into six to one Okay, second topic open PGP support Yeah Earlier on you could use X 509 certificates in LibreOffice to sign the document We added with support from the German BSI Support for open PGP so you can use your Existing keys you have and you use for email maybe or whatever and there's also UB key this USB Thing you can insert with which has keys Yeah, you don't need to go to some certificate authority and get a certificate You can just generate your key and sign with that Um Yeah, so this is the current status signing worked on 5.4 on Linux only this was the first thing we did and since since LibreOffice 6.0 released a few days ago This is on all three major platforms Linux Windows and Mac OS and it's also ODF conformant So we didn't break your standard It's not your standard of course, but you're careful Yeah for the encryption stuff we had to extend that's also in my notes Yeah Yeah, right then Encrypting with open PGP keys was the second feature Yeah, so you can not only sign you can encrypt so that nobody can see the document unless You encrypted it for him for her Yeah, this needed as Torsten said an extension to ODF, but will be Proposed or is already proposed to the TC. I don't know Yeah, currently LibreOffice is the only ODF consumer implementing this Yeah, but we hope that more will follow it's fun to see your take with ODF toolkit and their patch open office developers here Yeah, okay, so how does it work LibreOffice does mainly Not very much with the actual signing We use existing toolkits like the GPG agent and the GPG program that is already there So we also can't make big mistakes with the actual signing process Yeah, it's there is some inter-process communication between the two LibreOffice and the GPG agent we use the GPG me library that's See library for accessing Yeah, for using this and signature and encryption stuff We actually use GPG me CPP or PP and that's a small C++ wrapper around this Yeah So our work was on the LibreOffice site integrating the existing programs Yeah, so we have no extra key store like when you Open this signature dialogue. It will list Your existing open PGP keys you have used for mail or whatever before And you also see it lists both X 509 certificates the first two and the rest This is screenshot from Torsten open PGP keys. You select your one Also, we have no Certificate manager integrated. We don't go want to go that route. There are many good Applications for that, but we help users to find them We have a start certificate manager button in this dialogue and when you click it you it will open see horse and gnome or On KDE there is I don't know Cleopatra and on windows it will open GPG for a witness at that right? or which I think at the current state, it's just checks a hard-coded list and takes the first one it finds maybe We added a configuration. I'm not sure Yeah on windows you would yeah on windows you would need to install this Separately we don't bundle it and on Linux. Of course, it's provided by your package manager Yeah, then we also made some UI improvements Before the signature the status of the current signature was only displayed very small in the status line and there was also a dialogue popping up when the The signature was invalid and we improved that and used this colored info bars Yeah, the one below is even from a newer version. It has an icon also. I think hi-co is responsible for that. Thanks Yeah, so you see at the first side with the color and the text if your signature is valid if it is valid But the certificate could not be validated That might be the case if you ever a key, which is not trusted in the GPG wording and It is dark red if the signature is broken. That means the document has been changed Okay. Yeah, let's have a small look at this or yeah before. Oh, I have five more minutes Okay Yeah, I just take a blank document Insert some blind text. What does it work? Oh, it doesn't work. Anyway Line text then I want to sign this document Can I just use your existing keys open PGP? I saw there some There are a few I don't know from where they come Okay, they're empty Yeah, so I just choose one key You can also configure it to use a default key. There is a config option for that. Then I click sign Yeah, okay, I don't have this passphrase Okay, yeah, and then you can imagine this nice info bars popping up. Okay That's about the signing no big deal Same procedure. Okay, and then the encryption That's integrated in the safe dialogue in all platforms in the native dialogues even Okay, I need to save as to get the dialogue again, and there is encrypt with TPG key an option for that I never choose that Okay So now I get another list with all foreign keys that You have Yeah, because I can encrypt of course for other people where I only have the public key So I want to encrypt this for corn news Yeah Okay, and in theory this works in practice. This is not my laptop and it's not configured here Yeah, but you see the general procedure Okay, let me repeat this for the Camera so the problem here was that the key is not trusted and we need to go to the certificate manager and Sign this key with our own key So it won't fail anymore. Maybe we can improve the message a little bit Thanks, okay Yeah, I can show one more thing the settings dialogue Yeah, so there are three new options here You can specify a default signing key and a default encryption key and this checkbox when encrypting documents always encrypt yourself Makes absolute sense because if you only encrypt for someone else you can't open the document yourself anymore So if you disable that you should be knowing what you are doing Yeah Okay, thank should we do that You can connect, okay, I think there are how does this this work exactly to us Okay, so here you can see this actually working this is a signed document Okay, so here you can see the user interface live with the info bar and This was there before this small icon says the document signatures. Okay, and it also has this signed Brackets in the title bar. Yeah, but that's very easy to miss. Okay Any more questions, okay I can't say anything about the legal situation Your customer uses internally the signature just for the own company to sign the document and share it with Same company I don't think they use it yet. They just wanted to encourage use of Encrypted and signed documents in Germany and worldwide For Okay, thank you, let's close


Has this ever happened to you? A stranger pays for your coffee or helps you carry something up the stairs?  In a world where everyone is on the go, kindness can be an afterthought. Today we're talking about an organization working to change that. One random act of kindness at a time. We caught up with Ricky Smith, founder of Rake or Random Acts of Kindness Everywhere, to see how he's traveling the country spreading kindness daily. But I started Rake to motivate and inspire people, to want to help people. And to me that goes a long way, the sea keeps growing bigger and bigger. Rake's mission is to enrich lives, encourage kindness, and promote the act of paying it forward. Rake is simply caring about somebody or something else that maybe you wouldn't on a daily basis. Whether it's giving out umbrellas to strangers caught in the rain, or paying for the coffee for the person behind you in line, every little act of kindness has the potential to lead to an incredible domino effect of positive energy. Rake was born when Ricky found himself in a low point in LA. Originally from Cleveland, Ohio, Ricky was recently divorced and crashing on friends couches. I was struggling a little bit and had 20 bucks left in my name. And I went and I bought pizzas. And I simply just started handing out pizza to homeless people and posted on Instagram with their permission. About eight to nine other people did it and I thought how cool was this. Soon people were all over social media, hashtagging their own random acts of kindness, and Ricky realized this could be a movement for change. How cool would it be if I used social media to inspire and motivate people to simply care about other people? Today, Rake is a nonprofit fully focused on that mission. Ricky regularly tours the country to spread kindness by organizing giving drives for people in need, giving out random hugs on the street, and spending time with people who are often neglected by society. We went to a retirement center and did a prom. But what we didn't realize was a lot of the residents never had visitors. So here we are being life-hearted and being fun and silly, but a lot of them took it to heart. Six other cities, followers of mine and friends of mine, had done those and six other cities as well had the same experience. One act of kindness can brighten a day and maybe even save a life. But you don't have to throw an event to be kind. The next time you're walking down the street, just offer a simple hello and a smile. If you want to do more, check out hashtag Rake on social media for some ideas on how you can spread kindness daily. For UpRacks, I'm Frankie Greek.


What's up guys and welcome back to the John and Q channel. Let's be honest here, it's been a while since I've actually done just holding the camera of lock style. I'm back at it. It's 2022, I'm back at it. Today is Monday, January 10th, 2022, starting the year off right, starting strong. I'm currently in the process of packing up spin art pieces that I have sold over the last 10 days now they're going out to customers all over the world. Here's my little section where I put all the paintings after I package them. I got all these to finish here. I got all of those to put up, can you see them? I got all these right here to print shipping labels for and ship out. But here, let me show you guys just a quick few paintings that I love the way they turned out is amazing. Hold on, let me show it to you. Okay, I'm gonna set you on the table. I'm sorry, but hopefully you guys can see this.  You know what, I'm not liking this angle. Let's go somewhere else. Let me show you this first piece. Bam, look at that, look at this thing. That is just an amazing, amazing piece. That's number one, let me show you number two, hold on. Number two, look at that. Number two, baby. Okay, someone on my TikTok Live said that I should do a piece inspired by the 90s. And I was like, okay, let's do it. So I actually made three pieces. Let me show you those two. Bam, look at that. Can you see it? You got it, can you see it? Nine goes three pieces. They said do some spinner pieces in 90 style colorway. Boom, amazing. Hi, okay, let's continue packing pieces. Okay guys, before I continue further in this vlog, I just wanna say thank you for the extreme amazing support from all of you. Whether you liked, subscribed, followed me on TikTok, on Instagram, have actually bought a painting from me. Yo, you guys are just amazing. I've been doing this for like the last two years full time as an artist and it's just mind blowing. So as I package these pieces and as I'm printing out shipping labels and I'm gonna print out these shipping labels for these paintings, I'm just, I'm literally reminded that you guys are amazing. Thank you for the support. You guys are awesome. And if you put your mind towards something and you wanna do it, you're gonna make that happen. So make it happen for yourself, baby, let's go. Say cheese, Addy. Say hi. Hi. I have an idea. Hi, Addy. Say hi. Hi. Okay, bye. Pound it. Thumbs up. Love you. And then Ethan realized that Grayson was waving. He's like, Grayson, it was so cute. Now we package. Look at it. Look at all these. All these are going out. That's huge. It was a good, it's been a good month. So I just got done packaging all the pieces that I need to do for today. All of these, all those right there. I have a few other pieces that I have to actually package but I'm waiting on boxes to show up. So once I get those boxes, then I'll package and ship those out. But now I can set up this computer for the next hour or so and start shipping or start printing labels for these packages. And then later today, we'll go to the post office and send them out. So it's going to be a fun, fun time. Oh gosh. These are all the shipping labels from printing the shipping labels, which turned into all of those. And I still have a few left. So look at that.  I'm going to bring these packages, load them up in the car, go to the post office, deliver them into the post office, and then I'll be good for the day.   So pretty pumped, pretty pumped. Also, check this out. This is actually really cool. I saw this, I was literally looking on TikTok and I saw that this hashtag was quite literally viral. Let me show you what I mean. So the next time that you're on TikTok, look up hashtag JQArt. I have over 250 million views and you'll literally see all of the videos that I have done ever with that hashtag. So if you want to see all the videos that I've done and you want to go through and kind of binge watch, there you go. That's so many videos. That's pretty amazing. Okay, Ethan, it's time to grab all these paintings. All right, I want you to grab two and go to the front door. Good job. Go, go, go. And now we're going. Yeah, I got your little backpack. Is it, I didn't see you put those in the room. Yeah, I think they're in the room in there.  It is filled. It's also filled. 100 something paintings going out, 100 plus. Going out to everybody. Now say bye. Bye. What do you want to say to Joe Byron? Hey, yo. Take me to dinner. Bye, love you. Oh, are we going to do like Ethan? Bye.


Over those deaths in BC are now the leading cause of death among young people. Most of these deaths could have been prevented with just a few simple steps. We can all be a part of the solution.


They say images, everything in politics. Labour's clearly looking for a fresh one. They don't know whether they're nice, or whether they're tough, or they're naughty, or whether they're funky, or they're retro, they're out. They've got no idea. Revelling and exposing Labour's secret survey of supporters, asking just what it should look like. How about being more futuristic? Hmm, not so sure this line-up's convincing. What about coming across as more reliable and honest? Guilty or not guilty. Well, there's a few skeletons in the closet to overcome there. How about being more non-confrontational? Those baby boomers over there! Yeah, right. What about being a tad more cheeky? That's an option too. No trouble there. , not trying to be a bit funky, hey we said funky not dancing to a funky mountain. why not just keep it simple and be funny .


So about a couple weeks ago, I put out a tweet and it said this, my favorite 2K and tears since 2009. Now, I put a lot of thought into this and a lot of deliberation. I was thinking on it for a minute and this is the list I came up with. At the very top 2K 16 and 11, right underneath is 10, 15 and 14. Underneath that is 12 by Sloan Sum. Then we got 13 and 18 and then at booty butt cheeks at the very bottom is 17. I thought 2K 17 was the worst 2K of all time. Okay, that changed yesterday. Let's talk about why. I'm not gonna lie, it's been like four or five months since I've walked into this arena. So this is like, this is like Kobi coming back after retirement. Man, it feels fantastic. Jesus Christ. Hey, I'm not the mistress, you know what I'm saying? Yeah, watch this, watch this. I believe in you. I probably believe in yourself. Yeah. Oh, is y'all gonna get it though? I'm calling my ankles on this play. Watch this. Some hippity ho- Hey, no bugging. Before we move forward, this is my list. Plenty of people disagreed with said list on Twitter. You ain't gotta agree with the list. But yeah, I came to the conclusion 18 is the worst of all time in NBA 2K history. All right, so let's get into the story. So I wanted to hop on last night and do a video kind of just trolling. Not really trolling, but here was the plan. I went and went on my group chats and I said, Joe, let's play some prime today. Phantom said he's down. Shoot said he's down. Cold the man said he's down. Who else we had? iPod, Ken Carter said he's down. Now we all haven't played in a while. I knew we were going to be rusty and we're playing on my team and I don't know where it is on the rankings, but it has a pretty decent record. So we'd likely be playing some good competitors. I knew we were going to lose some games just because a lot of them didn't have comp prime experience, which doesn't really mean much. Let's be honest. Okay, so here's maybe the first thing. In Pro-M, really all you need is a point guard and a center. If you're playing shooting guards, small forward or power forward, all you're really doing is sitting in the corner and hoping they leave you open. I feel like a pylon out there, but that's the best way to win games in competitive matches. It's either you want to five out or abuse a four out pick and roll. So we experienced a lot of that in our first game. Oh, he's getting clout. Oh, he just, he bumped through me. He definitely can make that. Oh, we're nervous. What's this bill? What's the old good, good slash rebounder? My brain started working. Call your icons, man. You got to call your icon if you're on the break. That's an amazing pick.  You see that pick us up for you, Playboy? Got it. IQ, nigga. Get out of here. All right, out of here. How about say right there? The ball's coming to you. Starting now. Jesus. Get that blow by action. Oh, he did. Yeah, he was looking like Demarcus Cousins out there, man. So the end of the game came and we were kind of just struggling by against the pretty bad team. And then Phantom decided to do this.  All right, all right, all right. I like it. I like it. Chars, baby. Give me the poster. Three, three. There it is. No, it's not. They messed up. God, they went for two dummies. Be careful. You passed to me, bro. You foul, bro. Why would you foul? Oh, no. That was a timeout. You know, and I thought I was holding it still, though. Watch the right. What are you guys doing? Now nobody foul. I'm about to foul. Watch them hit this. Five says they hit it. I didn't hit it, bro. They hit this. Oh, y'all. I was about one shot away from just disbanding the team. All right, you passed me the ball right there. Oh, my God. Oh, yes. Oh, my God. Why are we switching? Yo, there's no spacing. Everybody's just playing kindergarten. Oh, pot. You're like 35 feet tall, bro. I fought signature moves just right to get to the opponent's. We got a score right here, bro. Please. Top, top, top. Oh, no. What you want me to do? There you go. Yes, I know. Bro, I had no faith in you, man. But you proved me wrong. Oh, and he agreed right so all day, bro. No. He has ice in his veins, bro. Come on, come on. We're going, we're going, we're going. We're going to crawl, we're going to crawl, we're going to crawl. Right here, right here. Yo, you waited time. Yo, what are you doing? Yo, what are you doing? That's all, bro. Oh, we gotta hope he's not gonna miss. Nobody misses free throws, man. Bro, you all stole something serious. Man. Jesus, guys. Fucking pass to the open player, man. Oh, yeah. But we need eye contact. That's a foul. Yo. It's safe to say overtime didn't go our way neither. Okay, so whatever, we lost game one against the garbage team. That's what I was going for. Honestly, when I started the video, I thought I wasn't gonna be angry at all. I thought everybody else was gonna be angry. That's why I was recording. I thought I was gonna be incredibly entertaining with people pointing fingers. And that's what I thought. Okay, well, the reality was I was the one getting angry. We started game two. Game two, we're playing one of those like pseudo try hard teams. They're not good, but they try to be good. They're trying to get to good. It's like the Chicago Bulls. Like, they might think they're good because they added all these new pieces, but really, they're still the Chicago Bulls and they lost Jimmy Butler. I'm wearing a Chicago Bulls shirt. Ignore that. As the game went on, I was starting to get infuriated by what was happening. Just simple things, because keep in mind, this is my first time back playing Pro-Am in like five months. Just simple stuff like being able to spot up without leaning all the time. How's a shooter lean? If I'm Kyle Korver and I come up, I'm pulling up buckets. I'm not doing no... So all of the video was designed to maybe get other people angry and get some entertaining content. I was the one getting angriest. And here's what happened. They made me lean, because of course. Why not? What kind of... I'm a sharp shooter. Lean's on a spin. I can't stand to pay, bro. I can't. I can't stand this game. I don't believe it. He didn't want to lean from... He didn't want to lean from set, bro.   He made... He finished the minutes, bro. So are they gonna lean? Man, what the... Just go play Fortnite, y'all. Actually, that is the thing we need right now. I'm tired of PS4, bro. Tired. So I wanted to find out why it was that I got angry. NBA 2K18. How good of a game is it? And I was just angry saying everything, and then I said this. Ain't it crazy how all they need to do is nerf two moves, and it would change everything, and they don't do it? That's crazy to me. Okay, so that brings me to where I am now. Now, I know some of you guys are... AJ, maybe you're just trash. You might be new here, all right? No, you're definitely new here. NBA 2K never really took a lot of skill. But I came to the realization, right? Because the reason I ranked 2K17 so low was because I believed wholeheartedly the fact that they didn't add new parts. They added all these restrictions and caps to the my team options. No improvements to my career, my GM. On top of that, probably the most game-breaking things in terms of gameplay. First of all, five out still existed, although it wasn't nearly as overpowered, but the main thing was brick wall. All they had to do was patch brick wall. Just nerf brick wall a little bit, and they never did it. They left the gameplay broke, and they left people abusing that Hall of Fame brick wall screen the entire year. But then I sat back and thought, they're doing the same thing for 18, but worse. And it is that simplest to nerf snatchbacks and blowbacks.  You can't run a five out, because you were a lie on those animations in a five out to get yourself open in a lot of situations. That doesn't even include all the grayness that is the playground that we have to play in every single day. That doesn't even include the fact that there was never any new content added. The fact that the servers somehow continuously keep getting worse. I'm getting these mega high latency games, and I said this. The latency is so high, bro. I could literally play in Fortnite servers in Australia and have lower latency. So then I thought, what is it that's keeping NBA 2K18 higher for me than NBA 2K17 on my list of all-time games? And I couldn't think of on what. They added a playground? Hallelujah. Level design at its most basic form is not the craziest thing, especially because they never tried to keep it lit at any point in this year. They kind of just let it go. They built it and thought, that's enough. We don't need to add any content for this mode that they supposedly spent so much effort on. And then I thought to myself, what would I rather do right now? Would I rather play on NBA 2K17 with the abusive brick wall of those repeated parks? And there was definitely a lot of cheese that went on in that game, for sure, for sure. Or would I rather be playing 2K18 where the skill gap is lower than ever and all people have to do to score is hit blowbys and snatch backs regardless of skill or archetype that will find a way to succeed using those? And I just answered, I would much rather be playing 17. And if that's the answer, then I don't know how 18 can be any better than it on the all-time list.  I have changed my mind! NBA 2K18 is the worst basketball game in franchise history. Worst! 2K17 can now settle as the second worst. So that's how I came to this conclusion, ladies and gentlemen. Okay, in the comments, drop me your list. It's not, well, it might, it's probably gonna be the same as mine because my list is flawless. But I want to see what you have to say whether you have a different list or whatever. What's your favorite 2K in tears? I'm pinning my favorite one or maybe the most ridiculous one or the most insightful one, whatever. Just do something you think I'll like and I might pin it. And I came to realization, guys, I cannot play pro-am. I might still play park. But where I think I'm having the most fun on 2K18 is team up. Yeah, team up. Just 5v5 with 10 guys that I know playing with actual NBA characters that aren't so limited in terms of archetypes, like you could only shoot and even when you shoot, you're leaning and doing one of these things because apparently you're not a real sharp shooter. You don't know how to do a catch and shoot even though you have the Hall of Fame badge.  Team up is the way to go. It's the most fun mode for me and I cannot be caught playing that five out stuff. Ever again. I'm prying. Just won't do it. I repeat. I will not do it. I cannot just sit in the corner all game and then maybe one out of every five plays cut to the rim or cut to the bass. You know, do a rap. I'm not doing that. It's boring. 2K, your game has to be more diverse, man. It's stale the way it is. Everybody wants the same exact thing. Whether it's a garbage team or a great team, just some do it better than others. It'd be fantastic if there was a skills gap in this game but I know everybody would complain because the people who are bad would be outlined for being bad. Everyone will know you're bad. That's how games with skill gaps work, guys. The good players shine because they're good at the game they put the time in.  But that's how it works. It's sports. Some people win and some people lose. And I'm sorry, bro. If you're afraid to lose then you shouldn't be playing sports in real life.  You either get better or you just continue to take Ls. All right, that's how I'm going to end the video. I went through a process last night. Hey, remind me not to play Prime again.  Also, I stream almost every single day on Facebook and I'm going to start doing those team up streams on my Facebook page. So I'm going to leave a link in the description. Go ahead, click it. Follow the Facebook page. All right. I'm streaming usually around the evening after I upload videos. I'm out. Peace.


Are you an anxious person? Does the word anxiety fill you with immediate dread? According to Merriam-Webster, anxiety is classified as apprehensive uneasiness or nervousness, usually over an impending or anticipated ill. While the word describes a general feeling of uneasiness, the experience of anxiety may be different for everyone. After all, it can manifest itself in many different forms and in varying decrees of intensity. So, to learn more about this, here are five stages of anxiety. 1. Minimal Anxiety Let's start with minimal anxiety. At this stage, you are able to function with very limited interruptions. Your ability to focus on daily tasks is likely not hindered, and you will probably feel productive for most if not the entirety of your day. Having zero anxiety at all would definitely be optimal, of course, but with minimal levels of anxiety you can thankfully function overall, especially since there are very few physical symptoms at this stage. Sometimes you may even not notice this anxious period, since it will likely affect a very small part of your day. 2. Mild Anxiety Do you find yourself feeling anxious in social situations? Are you the kind of person who shyly stands in the corner at a party? At the mild or subclinical level of anxiety, you may experience some form of muscle tension or stomach ache, but these sensations are often relatively minor. Mild anxiety may be experienced from childhood into adulthood, and is considered to be at the more manageable side of the scale. This means you're likely still able to get most things done on your daily to-do list without much problem. So don't feel bad if you find it difficult to open up or engage with others. If anything, you can be proud of yourself that you got out there in the first place. 3. Moderate Anxiety Is your sleep schedule very inconsistent? Are you struggling with a particular loss of appetite? If your anxiety is at this third level, it may affect your sleep schedule to a relatively noticeable but still functional degree. This can cause you to become less hungry throughout the day, or cause you to experience more frequent, aggressive headaches. Due to these factors, you may also experience a more regulated, panicky state of being, making you feel unedged a lot of the time. 4. Severe Anxiety Do you often experience a constant tightness in your chest? Does your stomach have a really tough time digesting food? Where the moderate level isn't necessarily a daily and disruptive force, severe anxiety is a consistent feeling throughout. The physical symptoms are much more aggressive at this fourth level. For instance, you may also feel out of breath and have trouble eating food even if it's a particularly favorite meal of yours. Because of this, you may also end up avoiding friends and family, choosing to remain on your own most of the time. The severity of this level of anxiety has also proven to be connected to major depression as well. So while you can still technically function, you may barely have any energy or motivation to do so. 5. Debilitating Anxiety Do you deal with near-constant panic attacks?  Debilitating anxiety is the worst and most aggressive form of anxiety. Symptoms of this may include sweating, muscle twitching, tremors, fatigue, and insomnia. Just name a few. You may experience an extreme sense of dread at this simplest of everyday tasks. And because of it, avoid ever leaving your safe space. But while you may sometimes feel like you're all alone and how you feel, remember that you're not.  So which level do you believe that your anxiety is at? Is it at a specific spot with one of these five levels, or is it somewhere more in the middle between two different points? Let us know in the comments below. If you found this video helpful, be sure to like, subscribe, and share it with those who might benefit from it. And don't forget to hit the notification bell icon to get notified whenever Psych2Go posts a new video. The references and studies used in this video are added in the description below. Thanks for watching, and see you next time.