Previously, on 13 Reasons Why. We're joined with Skye and Clay who are now officially dating, however they fail their attempt at tattoos and also their attempt at sex because Clay's not quite yet over Hannah. Alex is still alive after his suicide attempt, however is suffering physically and has lost his memories of recent events, but his feelings for Jessica remain. Mrs Baker is performing her own investigation whilst in the middle of the court case where she is pressing charges against Liberty High. First in the witness booth is Tyler who tells the story of his friendship with Hannah and how her leaked photos tore them apart. Mr Porter enlightens Bryce that he knows what he's been up to and to watch his back, but Bryce has already moved on to another girl, Chloe. Jessica is then summoned to appear in court but is warned to keep her mouth shut. Clay finds Hannah wasn't alone but still doesn't find satisfaction in the bedroom because of her. Next on the stand is Courtney who explains there was more to her relationship with Hannah than just a friendly kiss. Tyler befriends the misunderstood new kid Cyrus and Sherry is back on campus after a time in juvie. Zach is helping Alex with his physical recovery whilst the pressure rises on Bryce. Tony relieves some tension and Clay tries to do the same, failing once again, this time so bad that Skye ends up overdosing, but later explaining she has serious problems and is going to rehab. In the meantime the two of them decide to break up. Tyler becomes closer with Cyrus and friends and starts down a dark path. Jessica's turned to testify and she opens the curtain on the horrible social issues the students face at Liberty High, as well as shedding more light on the love triangle involving Alex and Hannah. Hannah's mum tries to convince her to testify against Bryce, but she refuses. Mr Porter is on the verge of dismissal and meanwhile Clay and Tony fetch Justin off the streets to testify against Bryce. Justin however has a drug problem and needs some time to sober up, hiding at Clay's house. Tyler and Cyrus start experimenting with explosives and set their sights on Marcus, who describes a not so victimised version of Hannah. Hannah's dad is back in town and he's decided to fight for Hannah in court after his separation. Tyler and Cyrus begin their attack on Marcus and Jessica chucks a clay because she's still thinking about Justin. The misunderstood boys step it up a notch and after forgetting the contents of the tapes, Alex revisits them. Ryan explains Hannah's complicated relationship with Justin and her heartfelt poems which he distributed. Ryan feels guilty for his lost friendship with Hannah and decides to help Mrs Baker, who's discovered Mr Baker's second family. Alex confides in Zack, explaining that he doesn't get excited anymore, even with porn. And with nothing left to lose, Mr Porter takes Justin's family issues into his own hands. Zack takes the stand and tells all about his steamy relationship with Hannah, which eventually cooled down, but things then heat up for Alex. Justin tries to reconcile with Jessica, who declines, but Clay's parents welcome him to stay with them. Hannah's parents share a moment in the graveyard and Tony hooks up with his boxing instructor. Clay steps up to explain the complexities of his and Hannah's relationship and afterwards decides to post Hannah's tapes publicly. This turns everyone against Bryce, who takes it out on Tyler, but Chloe makes a friend in Jessica. Mr Baker comes clean about his affair and the pressures that were put on Hannah. Tyler and Cyrus turn up the heat on Marcus, forcing him to turn on Bryce, but Tyler isn't finished yet. Mrs Baker's parenting is thrown into question and Clay and Sky mend their bridges. Justin nearly overdosed but then returns home, attempting to rescue his mother from their unfortunate circumstances. Liberty's communications teacher is questioned on her phone adlect for Hannah's alarming words, as well as Mr Porter, who explains what he'd do differently and breaks down for the way he reacted. Justin gives up on his mum, stealing money from her deranged boyfriend. Jessica tries to move on, but is squandered by her dad and it's Tony's turn to be threatened. Cyrus encourages Tyler to send a message to the jocks, so alongside Clay, they vandalize the playing field. Tony explains his involvement in Hannah's life and how he came to pass around Hannah's tapes. Justin is invited back to school, but things aren't looking too good for the bakers. Clay and the gang become aware of the clubhouse, where Bryce and friends would bring girls and perform unspeakable acts. But Bryce explains it away as completely consensual and mentions that there was more to him and Hannah than they knew. Jess tells Chloe the truth about Bryce and tensions hit an all time high at Liberty. Though in all the drama, the polaroids that proved Bryce's guilt were stolen. Chloe then decides to stand with her man. Clay spends some time with Tyler, who is now openly rebelling against the school. The pressures from Hannah's trial prove to be too much for Clay, who tries to take matters into his own hands. But is stopped by Justin, who explains his loyalty to Bryce because of their childhood friendship. Justin then testifies his version of events leading up to Hannah's death. Montgomery is discovered as the one responsible for all the threats and cover ups and is confronted. Clay and Alex then encourage Jess to testify against Bryce to strengthen the case. But after everything is said and done, the bakers lose the case against the school. However, Bryce is arrested but then let go on good behavior. So him and Montgomery are back in action and the evidence against them has been destroyed.  Clay returns to complete his tattoo and invites Justin to be officially adopted into his family, which not everyone is happy about. Hannah has a long awaited funeral and is lovingly farewell by Clay, who still loves her but lets her go. Tyler returns from camp and appears to be in good spirits. But then Tyler snaps and prepares to shoot up the school dance. While the students of Liberty try to heal, Jessica cheats on Alex with Justin and Chloe confesses she's pregnant with Bryce's baby. Tyler shows up at the school dance but is confronted by Clay who talks him down. Clay gets him to escape with Tony and is left gun in hand.


Hockham traders to another Ticknell earnings report. Preview with me, Patrick Melanie, before we jump into today's report, it's important we're here to the risk disclaimer. The material provided is for information purposes only should not be considered as investment advice. Views, information, and opinions expressed by me in this recording are solely mine. They're not indicative or representative of those held by Ticknell UK or Ticknell Europe, limited. Okay, let's jump into today's report and we are looking at Amazon. Amazon is set to announce earnings after the New York closed this evening. Consensus is looking for earnings per share prints of $9.22 on revenue of $116.32 billion. There's a whisper number on the street that the earnings per share could come in as high as $9.76. In terms of what to look for in the report, the key metric really is revenue generated by Amazon Web Services, Amazon's cloud computing platform. The AWS segment provides global compute storage, database, and other services to start-up, enterprises, governments, and their agencies and academic institutions. AWS represented only 10.1% of Amazon's total revenue for the fourth quarter of 2020. Still, because it has significantly higher profit margins than the company's e-commerce business, AWS accounted for 51.9% of the company's operating income during that period. Amazon faces stiff competition from Microsoft, to Zor, and Alphabet's Google Cloud platform, although the shift towards a work from home economy has continued to stimulate demand for cloud service products. AWS revenue has seen healthy growth in recent years, but it has decelerated only past several quarters. fiscal year 2018, for example, AWS revenue grew by roughly 45% and 49% year every year each quarter. Growth slowed in the mid-30s in fiscal year 2019 and into the high 20s for fiscal year 2020. It has hovered between 28% and 29% for the past three quarters in fiscal year 2021. Analysts expect that trend to continue with AWS revenue rising to 28.7% year every year. Let's take a look at some of the statistical trading patterns around the Amazon Olympics release. The stock has moved lower in the immediate aftermath of earnings, eight out of 12 previous reports, however, on average, the stock is going down 0% for the first day of trading after the earnings release. Based on the previous 12 earnings releases, Amazon is more likely to trade lower one day after earnings for an average loss of 0.5%. Stock has moved higher one week after earnings, eight out of 12 previous reports. On average, the stock moved up 0.8%. In terms of volatility, what the options pricing is giving us, we're looking for about 7.4% move on the earnings. Stock has averaged a 5.1% move in recent quarters. From a flow and sentiment perspective, there was some noticeable buying, 5,685 contracts of the 3,150 call expiring June 17th this year. Options are the flow in general, the sentiment is bearish. Investor sentiment going into the company's earnings release has 60% expecting earnings being consensus estimates of four earnings to decline year-over-year by 41.6% with revenue increasing by 7.19%. Short interest has increased by 4.6% since the company's last earnings release, while the stock has drifted lower by 7.2% from its open following the earnings release to be 12.1% below its 200-day moving average of $3,284. So let's take a look at the technical setup and see where we might have some trading opportunity. So the technical setup is, a corrective pattern is in play at the moment. So versus the swing high here at $3,415, we are now looking for an equality objective test at $2,330. See a nice five-way sequence developing here. So any potential pop from earnings, I've been looking for a drift lower and the area where I'm really looking to get involved is watching how price responds at this $2,330 area. If we get nice bullish reversal patterns there, then I'm looking to engage on the long side and the initial upside objective is going to be back into trend channel resistance, $3,150 on the upside. At this stage, any closing breach of the $2,330 area would be a bearish development and the next downside objective will be coming in at $1,974. And that's, you can see here on the weekly chart prior to the breakout area just below $2,000 there. So watching $2,330 for bullish reversal patterns to engage on the long side, looking for trend channel test. As always, trade the plan and most importantly, manage your risk. So next time, thanks very much.


What's going on everybody forest here with Blake we're ripping case number two on 21 22 NT basketball release day Hobby four box case number two picker team style Adrian K wizards ammo with the spurs Andrew a calves Brian S raptors Chen M Hawks C Chen Grizzlies C Wong Warriors Edgar B with the Celtics Eric W magic Hank K Bucks T Wolves Harper has the Mavericks Thunder and Hornets Jason L. Heate Jose M pistons and Rockets Kaho S Lakers and Sixers Kumpal has the Clippers and Bulls Elchu Nicks Lung P Nuggets Man C Jazz Minku with the Nets Oren has the Pelicans and Blazers Shawn D. Sons Shawn M. Kings T Ying Pacers good luck everybody. Let's see what we got in case number two here There's always like Not the best best teams for like maybe like the fifth and sixth best teams he joins a lot man He's always in there, and he's always getting in the same cars. I feel like I He buys same teams a lot. He just high-end breaks a lot Yeah, but when you join that much, I mean you hit and miss for sure He's You don't hear about the misses. Yeah When you're just checking out at the end of the stream, you're like, oh, man Anyone that breaks a lot knows It's you got to ride the wave sometimes here we go. I just noticed they have this little on the inside of the box It's pretty cool They're just like they're not like wood anymore. They're like the Yeah, they're more like they're more eco-friendly now Than they used to be All right guys, what do you think logo man this case? Can't peek it on the bottom anymore because it's not the big hit. Yeah, so like Because watch the first case all the big hits are like in the middle cards in the last two It's like are like relics or just like regular relics. So you don't know what's coming as far as like the big hits I think Spurs did yonte Murray to 99 the new Atlanta Hawk Go spurs printing plate is that Zion? Yeah, Zion from oh personalized personalized NZ It's an NC card. Yeah Yeah Zion 101 for the pelicans we got Warriors dual rookie jersey Jonathan coming at a 99 nice coming to there These are sick This is a great design great player here to Mavericks Dirk Novitsky your retro materials to 25 Again guys like I've been saying vets are all game worn in this really cool three-color Dirk there I'm big about game war. I don't know. I think I think most people are good. Yeah, most people are on the game warn train Okay, all right treasured signatures bronze Dirk Novitsky.  That's Harper again had him in last case as well great start to the day for Harper A red RPA for the Thunder Jeremiah Robinson Earl what a patch that's just 75 on the red parallel or Ruby I think it might be called okay. See there you go three different color of blue, right? Yeah It's like three different blues. It looks like a tea wolves jersey on it might it was he a timber with a one point I don't know. I don't think so There you go, Casey Chicago rookie Jersey. I have to soon move to 99 nice IO That's that's cool rookie triple jersey Chris Duarte at a 99 Pacers Nice Duarte, what is this? Tm rookie trio materials. I'm guessing is what it is rookie trio materials. Oh Man as a magic as a magic Nicola Vusevich to 25 right in the right in the heart.  To 49 nice hit Grizzlies Hey man, good stuff All right solid box got a heat up now in case to still had that dirt redemption Yeah, that's what I was saying we had the Duarte was really nice the true RPA, but we haven't had like a big big rookie Lot of nice vets so far today. We're working up to it. I think I Mean if we keep pulling dirks and vences and and Lucas. I don't think I'll be too upset. I Just want to spread the love you watching the game last night, or you just Get Derek white to 75 Celtics. Yeah, it's pretty close all the scoring was very early Al took a lead in the fourth and then that was it no one else scored once the like bullpen guys started getting in They just earned their throw an absolute cheddar Helsley was like nasty. Yeah, that's I am one of one doka as a big a jazz printing plate Elgin's rookie Jersey on what's up? Rookies I don't know but I mean like McClain a hand starter for the AL Contra came in for the NL Sandy, I think pitch the second court Kershaw started for the NL got Jersey Jimmy Butler bulls to 99 Bulls Jimmy Butler, that's a throwback But Probably I did see it to the bulls are heat right it's got to be That's a nice vet patch Pacers materials miles Turner to 25 three color Paces been pretty consistent hitting today game worn on the Turner Which is asking if you're gonna be an all-star one day Yeah, that's the goal Good-looking design here Dennis Rodman Pistons patch auto to 21 the worm that's sick. That's awesome Pistons game worn That's awesome. Pistons vet hits the first couple of cases, too Game Gear auto There he is Redemption lot of redemption so far that is RPA bronze bulls. I ought to soon move There you go Chicago awesome hits Ron should beat to 25. I believe that is awesome. Nice IO There you go bulls big one there. That'll be sick once you get it. Yeah, I'm pretty sure that's a 25 T-wolves on the second year Jada McDaniels auto to 99 Penmanship McDaniels Stop Coon Paul. There you go man. Congrats late rich is there Jersey auto 76er shake Milton To 49 Yeah, then rich will go and literally just like send me pictures and rub it in rubbing my face the whole time That's all that'll happen Yeah, Hawks Jersey Al Horford to 99 do some of the biography materials are a little weird Hawks Al Horford the Yeah, it's like the weirdest teams for these guys Some of them it makes sense like Anthony Davis with the belly. I make sense, but Al Horford Hawks I don't even think of I don't even think of the Hawks even though he was there for a while. I think And then Jersey card Pacers miles Turner again to 99 a lot of duplicates I thought there was like a dirt and then a dirt in box one And we had two turners here It's okay Blake you grew up around here All right, I got a valentunas for the pelicans base card the 99 In a noir printing plate Who's that Should I give this Alexander for thunder in the war printing plate shadow signatures black one on the cool plate there like those designs Yeah, these retros are pretty cool KG on the wolves to 99 retro materials jumbo Jersey cool players every time so far Jared Solinger on the logo man checklist I'm guessing with like the Celtics then. Yeah I Didn't play anymore, right? I'm not sure he played for someone else. I'm not sure if he's still in the league though Jersey card Luca for the Mavs to 99 Should I be game more I'll check though. Yeah game more and Luca nice Mavs day so far redemption Going to Washington rookie material auto duel Corey Kispert wizards Wizards Kispert hitting in both first cases so far we got bronze RPA. What a patch jazz Jared Butler to 49 Yeah, that is insane That's a Z That's pretty cool. Yeah, that's cuz that's the a right there the green That's nasty. There you go jazz. So the bronze redemption from earlier is gonna be to 49 on the RPA The Vooch bronze was 25, so we'll different nice Jared Butler soldier plays in China now. Wow, I didn't know that's cool Jersey card for the Pacers Roy Hibbert. There's some damage on this card guys We'll get an empty box and wrapper out to the Pacers Damaged Hibbert there Jersey guard spurs Jersey Lonnie Walker to 99 That's awesome rich What that's funny as hell Oh Del Curry Del Curry, that's pretty cool. That's cool. There you go Hornets to 49 him and step I think I have a dual auto in this what yeah, I'm a big fan of the father-son do any sport Yeah, that's just the coolest thing brothers and like and like Father-son is pretty cool. Del Curry to 49 to Hornets auto nice Dell Get carried your hotel and Defensive legend Grizzlies Tony Allen auto to 10 Dude was like one of the best defenders in the league for like years Marcus wire today Maybe yeah That's why he's in China. Yeah, it's on party with rich too hard had to had to leave the country I Glad I could rewatch the derby Dude J rod and so do I love both of them so much J rod is He's scary. Oh, it's your guy Like the Celtic on the top of a lot of these boxes. I think you're right We had the white earlier hit the brown first. Yeah, I'd say them now to 75 Celtics base parallel There you go sees I didn't even think about that but yeah Yeah, that you know that I always think of that as a red sock color match. I want it so bad Debuck printing plate sons from flawless your sons Hornets now y'all have Blake open some of it Jersey for the Hornets Alonzo morning to 99 Yeah, I want to make sure we're like on schedule Rookie colossal patch cards first Joe wise cam great patch there Lakers with a fantastic hit here. You got a Jersey auto clutch factor magic Johnson six at 25 Showtime Lakers game worn nice magic get that mag for you. Wow pretty bucks true RPA Sandro, Momo Kalashfili Nice Sandro RPA for the bucks Yeah True RPA pretty nice Jersey car Nets Benz. I didn't mean to laugh Ben Simmons I didn't mean to laugh I laugh because of game warren sixers Jersey on this Nets Ben Simmons card here There's a sixers fan riches Celtics fan Jersey for the Wizards Kyle Coosman a 99 Coos on the Wizards probably Lakers. Yeah, Lakers Jersey on the Wizards card here So guys a lot of the reason for that being is game warren is Better than non, so they're gonna use game war and even if it's on like a current team if it's from a last team if that makes sense Jersey auto spurs Lonnie Walker the fourth. It's not like spurs and Celtics. I feel like It's a 99 Sarah does hate Ben Simmons. Don't ever bring a Ben Simmons around Sarah like Like the the conversation switches to that for a while and she gets worked up, dude I've seen it chat one time about it. We were over at their house and I delay and just kept bringing it up Oh my god, please stop Finishing the case with a one-of-one Warriors Lasting legacy game use laundry tag patch auto Chris Mullen boom I'm not sure that's a game use laundry tag that is sick congrats Dubs game use laundry. That's like a 35 year old laundry tag Thinking that is look he's got the he's got the fade there went from 80s mullin to like 90s Congrats warriors that is absolutely nasty Who's got the dubs see long wow? That is freaking sick. Give me one sec guys. We'll do a recap Magnetism, huh? All right, so we have the printing blades Devon Booker Who is a shy Gildus Alexander? We don't get as a buke and Zion all the printing plates there Relics Kyle Kuzma Ben Simmons Joe wise camp Alonzo morning Roy Hibber this one point out this one to test some damage on it We're gonna send an empty box and wrapper for the pacer spot so you get that one replaced. I got Lonnie Walker Luca game use Jersey KG T Wolves got Miles Turner Al Horford as a hawk miles Turner again Jimmy Butler as a bull Duarte the Sunmu Dirk on the game use their Kaminga dual rookie Jersey All of the autos now Lonnie Walker Tony Allen attend Dell Curry for the Hornets Corey Kisford wizards redemption there. That was the RPA or no the Rookie material auto dual Nice one there for the wizards Janet McDaniels shake Milton Dennis Rodman as a piston as a cool card Jaren Jackson jr. Butch to 25 magic Butch Dirk redemption for the Mavs treasured signatures bronze Everything else is in America we're gonna mag that Dirk redemption RPA to 75 Thunder Jeremiah Robinson Earl had bowls RPA bronze redemption dose. This will be to 49 IO dos soon move congrats bowls awesome hit RPA bronze to 49 Jared Butler jazz True RPA bucks Sandra Mama Kellish Feely Jersey Auto Lakers Magic Johnson and one-of-one Lasting legacies game use laundry tag patch auto Chris Mullin Warriors very nice. Thanks again everybody case three coming up shortly


This is what the people who can, you know, afford $30,000 just for a ticket to a night out. You know, I'm sure they spent several thousand dollars on top of that. I mean, you know, what most of the people watching make in a year are these people were spending in a night. So there is this elitism that transcends elitism. What we're seeing here is that these people are our new gods, that these people are demigods, these people are celebrities, these people are role models, these are the people that we need to aspire to, that we need to listen to, these are the people that we need to follow. You know, the Catholic Church was deeply involved in this. There were Catholic clergy in the hall that night. I think what they're doing here is, I think all of the above, all the brackets that you presented are correct. And I think that's maybe the difference between my work and a lot of other people's work, because yes, because these things all function on all these separate levels. And this is what I talk about when we're trying to do a kind of psychoanalysis of culture. But what we're also seeing here, to me, is actually a little more insidious than what I had gathered from the material that I had seen. I hadn't seen presented impact quite in that way. And I think what we're seeing here, I mean, this entire thing reminds me so much of ancient Rome. It looks exactly and plays exactly like something that you would see some festival in ancient Rome that you and I and all the rest of us would be standing out on the cobblestones watching these aristocrats and these celebrities and these gladiators enter into this, essentially a high ritual. So what we are seeing here, it's very, in the way that the News & Court makes sure that you know that you are not involved, you're not part of this, this is something you can watch, but this isn't for you, you're not invited, you will never be invited. The millions of people, pretty much everyone who is watching this will never gain access to this gala. This is a convocation of the gods. So we're seeing this technology, high technology, as being the greatest gift to the powers of the empire to restore, what I've been talking about since I started the blog, which is the restoration of the old hierarchies. And I think that to me is the subtext here. But another subtext that's really troubling is that one thing that I noticed before this gala took place. And also, by the way, gala is a term that meant priests of Anana in Babylon. So it's the whole smorgasbord, or Ishtar in Babylon, Anana and Sumer. But on the roof, one of the stories that I covered, I think that I included it in this as well, is that on the roof of the Metropolitan Museum as this was taking place, and I think it's on the roof until October, is a 12-foot alien demon that people, have you seen this? It's called, We Come In Peace. I don't even know how to wrap my head around this. It's like, what reality are we living in now? I can't begin to imagine what the thinking behind this is. So what people really need to understand is that image that you're looking at right now on screen, which is that 12-foot alien demon, and it's not like I'm just using hyperbole here. I mean, that's what it actually is. I mean, that's what it's presented as. That's what the artist who created explains it as. And look at that image.  It's a 12-foot demon with the three heads similar to the Janus heads or the Cerberus heads, or the heck it triple goddess kind of feeling there. But what I see here, and what I saw very, very clearly is that I happened to come across what was called the Millennium Dome Show. And the Millennium Dome Show was a presentation that took place in London in the year 2000. And it was staged 999 times. So if anybody was a numerology spotter, there you go. But it's basically a presentation, a very like Cirque du Soleil presentation that took place in the Millennium Dome, which was built specifically for the occasion at this, you know, this is Tony Blair's new product, Tony Blair, new labor, all that kind of thing. So there was this big giant dome, which certainly has spiritual connotations to the womb, but has also been used in architecture throughout history, you know, for various reasons. And you know, there are various interpretations you can make about that. But anyway, the point of this Millennium Dome Show is that it was about, you know, there was a narrative to the presentation. And the narrative was that the demons of the air were being oppressed by the earth people. And the earth people were using technology to harness the power of the demons of the air. And if you look at them, there's a comic book that came out with them. They're literally like little red guys with wings on their heads that look like horns, and they sort of float in the air.  And so there's this war that takes place. And you know, this whole thing where the tower is blown up, you know, you have to see it to believe it. You'll blow your mind. But the whole point of the, you know, the peace only comes through the sexual union of these demons of the air who were called the sky people and, you know, the children of men who were called the earth people.  No, I mean, that's exactly what you're seeing. I mean, in case people didn't get the message, they put out a comic book on it. You know, it just, it just absolutely boggles your mind. And it's, it's like, if you look, if you really start to, and this is something that I've been really detailing for the past year or so, is that if you really start to look at a lot of the symbolism and it's becoming more and more apparent and more and more repetitive and, you know, this whole entrainment process is that there really is a belief in what Christians and Jews sort of saw as the Nephilim, as the fallen angels, as, you know, the sons of heaven who were painted in, you know, in books like Enoch as, as the villains that they're seen as the good guys, that they, they were, you know, if you could be, because if you actually read Enoch, I mean, the, the watchers come to earth and they bring technology, they bring gifts.  So I think a lot of people over time have said, no, those are the good guys. Those weren't the bad guys. Those are the good guys. So when looking at this, this whole Met Gala, and again, this could just be my personal interpretation, blah, blah, blah, disclaimer, disclaimer. But it's like we're seeing what it looks like that the reconstitution of the iconography and the symbolism of the church, but all under the, like the literal wing of this fallen angel up on the roof of the building in which this all took place. I mean, the symbolism could not possibly be more crystal clear.  And the problem is that people don't pay attention with being said. They pay attention to the way it's being packaged, the way it's being represented to them.


So, given an n by n matrix and any non-zero seed vector v, there is a least value k for which the set is dependent. And so we can find non-zero coefficients a0, a1 through ak minus 1, which satisfies the vector equation, and there's a corresponding minimal polynomial. So, why did we do that? We claim the following important result. All the roots of the minimal polynomial are eigenvalues of a. Here's a quick sketch of the proof. The factorization of the minimal polynomial gives us a factorization of the matrix equation. And the first thing we note here is that this product consisting of the last few factors with v can't be the zero vector. And the reason is that if it is, then we'll have a non-trivial linear combination of the vectors of v through ak minus 1v, which equals the zero vector, so this set is dependent. But we assume that k was the least value for which such a set would be dependent. So remember, another way of characterizing an eigenvector eigenvalue pair is the following. If v is not equal to the zero vector and a minus lambda i applied to v is the zero vector, then v is going to be an eigenvector for eigenvalue lambda. Now, since this entire product does give us the zero vector and this last portion of the product is not the zero vector, it follows that this last portion is an eigenvector corresponding to the eigenvalue lambda 1. And we can rearrange the factors to give us the eigenvectors for the other eigenvalues lambda j. Well, let's try it out. So let's try to find the eigenvalues of this matrix. So we could choose any seed vector we want to, and there's no point in picking anything too complicated. We'll choose our seed vector and find v, a v, and a squared v. And the set of three vectors is necessarily dependent. Ro-reducing gives us, and since x3 is our free variable, it's this third vector that makes the set dependent. And so we get parameterized solution, a linear combination equal to zero, and we'll write this in a more conventional form by putting the highest power terms first. Now, this gives us the minimal polynomial x squared minus 2x minus 8, which, because the universe is kind and gentle, will factor. Okay, we can't always count on this factoring, but in this particular case it does. And so the roots of this equation are x equals 4, x equals minus 2, and so the eigenvalues are 4 and negative 2. How about a 3 by 3 matrix? Since this matrix acts on vectors in R3, then any set of four vectors in R3 will necessarily be dependent. So the set v, a v, a squared v, and a cubed v must be dependent. So I'll pick a random seed vector about 1, 0, 0, and we'll find a v, a squared v, a cubed v, and we'll let these be column vectors, and we'll row-reduce our matrix of column vectors, which gives us a parameterized solution, a linear combination equal to the zero vector, and a minimal polynomial with roots 1, 2, and 3, which will be our three eigenvalues. And once we have the eigenvalues, we can find the eigenvectors as before. So for lambda equal 1, we have row-reducing, parameterizing our solutions, and if we let t equals 1, this will give us an eigenvector minus 3, minus 2, 1. For lambda equals 2, we have row-reducing, parameterizing our solutions, and if t equals 1, we get the eigenvector. For lambda equals 3, we have... So the question to ask is, can we find all eigenvalues and eigenvectors this way and avoid finding the characteristic polynomial? And the answer is... Yes! Of course, the universe never gives us something for nothing, and so we will need to exert some effort, but nowhere nearly as much effort as we would if we were to try and find the characteristic polynomial. We'll take a look at some of these cases next.


Hello friends. So in the last session We had concluded that there are nine points nine points Within the triangle or on the triangle Through which a circle passes and that circle was called nine point circle We saw that in the previous session and in this session we are going to find out the relationship between the radius of this in this nine point circle and the circum center of or circum radius of the given triangle ABC and We have to prove that The radius of the nine point circle is half the circum radius of the triangle ABC Let's try and prove this in this session in Doing so we will also end up proving that the Center of this nine point circle actually lies on the Euler line of the triangle and what is Euler line guys the line joining the ortho center and the circum center of a triangle is called the Euler line and We will be seeing that the Center of the nine point circle also lies on the same Euler line Okay, so first thing to be you know Prove to you over here is if you see triangle ABC, let's consider triangle ABC. So We have triangle ABC triangle ABC and triangle D E F. Okay, let's consider these two triangles D E F Now if you see these two are similar triangles, we have proved it all you know already because this is a medial triangle if you see D E F is a medial triangle and We know that D F is equal to half of a C D F is equal to half AC midpoint theorem midpoint theorem and similarly D E is equal to half of AB half of AB and E F is half of DC Right, so by SSS criteria by SSS Criteria we can prove that triangle ABC is Similar to triangle D E F Right this would this proof will be needed in you know our larger objective over here So ABC is triangle ABC is similar to D E F Now if you look closely triangle D E F D E F is actually congruent to Triangle G I J Right, so G is opposite to D. I Is opposite to E and J is opposite to opposite to F right and why is this? Why is this because we know that in the previous session we proved that D F J G Is a rectangle? angle hence Hence, you know that F D Will be equal to G J Similarly, there are two more rectangles. You can check the previous session that You know, there are three rectangles in this figure one then two and third one was this Right, so three rectangles and bases that you can prove Similarly, you can prove that F E right, so similarly you can prove that F E F E is equal to I J I J and The third side what is left G I yeah, so G I G I is equal to ED so hence by SSS congruency criteria This holds D E F is congruent to G I J correct Now, let me just take away these highlights so that the figure is clear. Yeah Okay now so once Keep this in mind that these two triangles are congruent this one and And This one Right, please keep this in your mind now let's Let's consider Now let me do it here now if you see in it was given that BM BM I was given that BM is perpendicular to AC It's an altitude BM was altitude Similarly O E O E is perpendicular to AC why because O E was the perpendicular bisector of AC by the way if I forgot to mention this in the in this session I had mentioned in the previous one. Oh is the circum center guys So I'm just writing here. Oh is the circum center. Oh is the circum center Circum center of ABC Okay. Oh is a circum center of ABC sir. What is circum center? Circum center is point of intersection of all perpendicular bisectors So BM is clearly BM is perpendicular to AC and O E is perpendicular to a AC is a hence BM is perpendicular to we I'm sorry parallel to O E hence we can say that H I K is Equal to is equal to G that is equal to angle O E K alternate interior Angles correct now mmm If you see H happens to be H is the H what is H H is the ortho-center ortho-center of triangle ABC as well as as well as triangle a IGJ or IGJ why because if you see these are all 90 degrees This is 90. This is 90 This is 90. I'm sorry not that one So, yeah, this one and this one all are 90 degrees Why because G J was parallel to AC and this is 90 this is also 90 and This is also 90. So hence H happens to be ortho-center of both ABC as well as IGJ Why because if you see ortho-center is nothing but point of concurrence of our altitudes So H happens to be the point of concurrence of all altitudes of not only ABC, but also IGJ So H is the ortho-center of ABC and IGJ. Similarly O is the O is the ortho- center of Triangle E DEF O is the ortho-center of triangle DEF Why because O if you see This is perpendicular bisector. So this is 90 and G J was parallel to AC. So this is 90 as well and Similarly, this is 90 and I J is parallel to BC. So hence, this is also 90 Okay, so hence clearly. Yeah, O is the ortho-center of DEF now since triangle DEF is congruent to triangle What was that the G I J G I J therefore The distance between one of the vertices vertices and the ortho-center in respective triangles will also be same. So hence HI or in this case, it is OE OE OE is the Distance between vertex E and the ortho-center will be equal to in this case vertex H, sorry Ortho-center H and the corresponding side I Right. So OE is equal to HI. Right. Why because since these two triangles are Congruent, so hence the distance between the respective ortho-center and the vertices corresponding vertices will also be equal So OE is equal to HI Okay, OE is equal to HI. Now consider triangle IHK IHK and Triangle EOK EOK So what do we know in these two triangles? I know that HIK is equal to OEK you just proved above here Alternate interior angles then Clearly IK angle IKH is equal to angle OK IKH is equal to EKO, sorry EKO Vertically opposite angle Right EKO and we just proved that IH is equal to OE. Just proved here Correct therefore by AAS congruence criteria Triangle IHK is congruent to triangle EOK IHK is congruent to EOK, correct Right that means Therefore I can say IHK is equal to OK Right, so that means IHK is equal to OK and and IK is equal to EK CPCT both I CP CT right so that means what does it prove it proves first of all that K is the midpoint of midpoint of HK HO sorry And what was HO? HO is nothing but H is the orthocenter and O is the circumcenter of triangle ABC if you notice carefully so K is the midpoint of HO and K is the midpoint of IE that means K is the midpoint of IE and what was IE if you remember in the previous session IE was the dia of the 9-point circle right so hence K is the Center of K is the center of 9 Point circle right K is the center of 9-point circle and you can see the 9-point circle is the circum circle of triangle which is I'm writing which is the circum Circle of Triangle DEF as well right K is the center of 9-point circle which is the circum circle of DEF right therefore ratio of Circum radius circum radius of Triangle DEF Divide and or other let me write it like this circum radius of triangle DEF divided by circum radius of Triangle ABC ABC will be equal to nothing but by the law of similarity DE by DE what is the DE? DE by AB DE by AB is it it? Right, so two similar triangles since We have two similar triangles so hence it will be DE by AB So if there are two similar triangles all they are corresponding sides altitudes medians Circum radii all are proportional and hence it is equal to 1 by 2 Right, right, so hence we can say we can conclude circum radius or rather radius of Radius of 9-point Circle is equal to 1 by 2 times r r is Circum radius of Triangle ABC Okay, hence proved So I hope you understood the theorem. So I would suggest you just You know go through it once again You will get the entire method of this proof


Hey there, Chad Bonds, you're here for a High University Libraries.  But what's really going to help you stand out to those potential employers is a little more knowledge about the company you're interviewing with. This database shows you how to get the information you need very quickly to understand the companies and the potential employees you're interviewing with using a database called OneSource. This video shows you how. The link to OneSource will actually first take you to this page, and what you need to do is actually click one more time right here on OneSource to get into the database. Once you're there, it's just as easy as typing the company that you're going to be interviewing with. Now bear in mind, it's a lot easier to find a lot of information on public companies than it is for private companies. So for my example, I'm just going to be using a public company. I'm going to be using Cardinal Health, and we'll just search for them. And what you'll do is you'll find it in the list there, we'll click on Cardinal Health. And this takes you basically to the company home page here in OneSource. And you can see just on the front page here, you get some financial information, some basic business description, what industry they're in, and all this is hot linked. You have key executives clicking on George Barrett there, we'll take you to a biography information on George Barrett, things like that. Also some latest news as far as what's going on with him and the company, some conference call information, things like that, compensation information, other stuff like that. Keep scrolling down, you get some significant developments here, as well as some news, and then some basic financial information, how the stock is doing, things like that. So a great way to get a quick synopsis of your company. If you want to get more in depth, you have all kinds of financial information linked over here, including ratios, balance sheet, your income statements, things like that. You have links to annual reports and SEC filings as well, all on the same page. You might want to look here pretty more closely, a little more closely at the news analysis. For example, looking at things like the company's SWOT analysis to see what their strengths, weaknesses, opportunities, and threats are. An analyst report will take you to some fairly recent stock reports on the company. So clicking there will open a PDF of some of the investor reports there. Strategic initiatives will basically give you some things as far as what's going on with organizational changes, some new partnerships that are happening with the company, things like that. Also, for more recent information, these fair disclosure transcripts basically give you conference call information when they disclose some quarterly earnings and things like that. So a great way to get good information on your company really, really quickly is through this database called OneSource, a great, great tool. But particularly if you're going to be interviewing somebody the next day and just need a quick, quick summary of what the company's all about. And you want to get a step ahead of someone else who's interviewed who may not be as well-prepared as you are. So this database is a great place to do that sort of thing. Hopefully this helps you. If you need more help, look for the contact link on the business blog. We'd be glad to help any way I can. Good luck with your research and best of all, good luck with your interviews. Take care and have a great day.


Hi, my name is specialist Emani Keanu Gale. I am a E4 in the Army National Guard. Growing up with alopecia was very hard. I had a drill sergeant come up to me, and she was yelling in my face. And she was like, you think you're cute. You got a weave on. You think you're cute. I think she wants to be cute. And I was like, I didn't break down at that moment. But soon as the shark attack was done, I just broke down crying. And the drill sergeant put me inside and was like, she didn't know. So when I got back, it was just, hmm. If these strangers that don't know me, never met me, they could come to my defense and do everything that I thought people at home could do, then why couldn't people at home do it? So once I came home, I just started wearing my wigs. And I got a lot of attention. I got a lot of offers and stuff from people locally that done fashion shows, that make clothes, that make jewelry, different makeup artists, different hair stylists. Like I've done hair photo shoots and everything. And it kind of helped me build like a platform for young girls in New Jersey with alopecia. And people are surprised that I'm in the National Guard, like in the Army with alopecia, because they usually a lot of sergeants now, they ask me, is it, was it a bet? Like the day I had a sergeant ask me, was it a bet? Or they asked me, was it because I just didn't want to wake up early in the morning and have to do my hair. And I don't know what goes through their minds, but it's just a lot of questions like that. So once I got more familiar and comfortable with the people around me, family wise and everything, like close family friends and everything, with me not having my hair on, it was much easier for me. I always liked having my head out though. I've never really liked it to be covered, but growing up with it, it has actually made my skin thicker. So now a lot of stuff don't really affect me that much. Like it might affect somebody else that that's not as accepting as me. But it kind of helped me grow as a person, just to understand like if I was to look at someone else and look at them and they don't look like me, I would be like, okay, I understand. Like I know how you feel. Like we have something in common.


Hi. Today we are going to talk about implementation challenges from HPC to containers in the academy. And who we are? Hello, I am Lukas Hitmanek. I am from Masaryk University and assessment from the Czech Republic. I am IT architect of our infrastructure which consists of both storage and compute nodes. And I am Victoria. I am also from Masaryk University where I work as an IT specialist. But essentially I take care about our Kubernetes infrastructure. So our Czech National Research and Education Network is called ANFRA-CZ and it operates HPC environment. We have approximately 20,000 CPU cores, 200 GPUs and 60 petabytes of storage. And the computational resources are accessible mostly through batch system, PBS Pro. And storage resources are accessible through Kerberized NFS version 4. Storage can be also accessed by S3 or SAF RBD, but just the minority of users choose this way. And we have about 1,000 active users. So in HPC we have two types of resources, compute resources and storage resources. Users interact with compute resources while creating shell scripts and running them in a batch system, PBS Pro. They have to have SSH experience because these batch systems do not provide any graphical user interface. We try to change this by implementing open on demand that was our attempt to provide some graphical user interface. And secondly, storages are directly available on worker nodes. However, storage resources are spread among various Czech cities and this creates confusion for users because they have to take care about compute and data affinity. On the other side, these storages can be mounted to users' computers. HPC brings some troubles. First of all, there is no straightforward way to monitor running computations, so users can't easily check the state of their jobs. Secondly, older scripts are not compatible with today's technology. I bet most of you know Python 2 versus Python 3 issues. Furthermore, every user must possess at least every tunic's skills because they have to interact with batch systems that are run via command line. Another problem is caused by time-limited access to carburized storage. After certain time, users have to renew their access token. Last but not least, setting up an NFS client is a hard task for every user when he or she wants to access their data from their own computer. So far, I have been talking only about HPC, but as we are at KubeCon, I will move to containers now. I think that majority of you have already heard about NGC containers or bio containers that are meant to be used in HPC, but how do we use them in HPC? In shared infrastructure, Docker is mostly prohibited due to security issues, so we can use Singularity, but this tool has problems of its own. Also, we have another option, that's Podman, but if we think about it, why don't we use native container infrastructure? As an infrastructure manager, you can choose between building shared container infrastructure or letting users run their own container infrastructure. Building shared infrastructure has advantages mainly for users. They don't have to deploy and maintain the whole infrastructure, which is in fact much more complicated than just being able to work with SSH and write some shell scripts. Instead, they can focus on research and their work. However, some infrastructure managers just provide users with write tools to run their own infrastructure such as OpenStack Magnum. Here in Czech Republic, we decided to go with the former approach and build distributed container infrastructure. We operate several Kubernetes clusters that are built on Rancher Kubernetes Engine, second version, together with Rancher Dashboard. Users can work with these clusters in multiple ways. They can either interact with native Kubernetes API or they can work with pre-deployed containerized applications or frameworks or they can work with Rancher Dashboard. To explain a bit more, in case users choose to interact with Kubernetes directly, they get their own or shared project, it depends on use case, together with the namespace. They can utilize various persistent storages such as NFS, SAF or S3 and they can also utilize GPUs and InfiniBand. In case users do not want to interact with Kubernetes directly, they can take advantage of applications which we have pre-deployed such as containerized Jupyter app on Binder, instance of Bioinformatics workflow tool Galaxy. We also offer Kubeflow and 3D accelerated desktop that can be used by users to run GPU intensive applications such as Ansys or Matlab remotely. Furthermore, we also use various frameworks such as European, GH4GH, TES and US standard, NextFlow or Snakemake. Having all of these, what are the benefits for users? First of all, users don't have to be skilled in shell scripting and other nasty unique specularities. They don't have to interact with Kerberos and configure NFS. They completely don't have to be aware of nRentopology. They don't have to know about software modules and their dependencies because we provide them in pre-prepared containers and overall, this is a direct way to run HPC containers easily. Every coin has two sites and from the beginning I have been talking just about one site, the brighter and better site. However, Lukash will now talk about the second site, which is much more darker. So, let's look at the dark side of containers in HPC. When we think about containers in HPC, there arise some challenges that I briefly introduced here. The first challenge is Kubernetes and HPC integration. Why do we need it?  It just can't happen. And also, if you don't have unlimited budget, you cannot just build new parallel infrastructure, so you need to make some kind of transition in place here. The second, users are familiar with queues and they also expect some fairness of the infrastructure as queues are natural thing in HPC. The third one, scheduling. If you have significantly more users than compute or storage resources, you need to schedule them somehow. And last but not least, we need to get users trust, so they are willing to use the new container infrastructure. Okay, we are talking about Kubernetes and HPC integration. What does it mean? It means how to integrate existing HPC infrastructure with Kubernetes. HPC infrastructure typically consists of three parts. It's authentication and authorization infrastructure. It contains compute nodes and it contains storage. And if we want to integrate it, we have to deal with all these three parts. Well, authentication and authorization infrastructure can be shared between Kubernetes and HPC. This is because once you have some user database, you can naturally use it for both. Credentials can be used for both parts. So there is no problem here. Also, worker nodes are easily shared between Kubernetes and PBS Pro because you can easily drain the node from containers or drain for PBS Pro jobs. And once the node is free, you can assign new type of function on it. So you can switch between Kubernetes and PBS Pro. And moreover, you can even run both types of workload at the same time if you utilize PBS Pro Kubernetes connector, but we do not use it. On the other hand, storage. Storage is the real challenge and we will look on it in more detail. So, as I have told, HPC storage integration is a real big challenge. This is because HPC infrastructures usually are based on NFS or AFS file systems. And those file systems are meant for large data that the user can store and then stage it to worker nodes and do the computation on them. And you would need the same for Kubernetes. So how to access HPC storage from Kubernetes? The short story is you can't. This is because you have to deal somehow with user authentication. The user authentication is usually done in two variants. You can use your access tokens or the whole authentication is based only on user IDs. Problem with access tokens is that those tokens do not understand namespaces. And as you may know, whole container world is based on namespaces. Also, there is minor problem. The access tokens are usually time limited and you need to solve somehow how to renew the token. The other option, UIDs, there is a problem that most containers run as user 1000 and you can't distinguish between users only on user IDs because all the users have user ID 1000. So you need to remap somehow user IDs between local user 1000 and some user ID that is on a remote site in HPC. So for storage, we tried or somehow utilized three kinds of file systems. One is the old and known NFS. Second is SSHFS and the last one is Common Internet File System which you can know from Windows World as Samba Protocol. In the case of NFS, well, there is no UID remapping possible. On the other hand, it's fast and there are many CSI drivers for NFS. But user ID remapping that is missing is a real problem. You can use NFS for persistent volume claims for local storage that is dedicated to Kubernetes but you can't do integration with HPC that use variable user IDs for every user there is different user ID. In the case of SSHFS it can remap user ID but on the other hand it's slow and also there is a problem that CSI driver must not restart because if you restart CSI driver all mounts get broken and the user lost access to his or her data. In the case of Common Internet File System it can actually do user ID remapping. It has acceptable performance at least in the latest versions but unfortunately it's not widely supported in HPC world. So if you come to HPC administrator and you tell him or her that you want to utilize Common Internet File System the answer is no, you can't because we don't offer this file system. As I have told, queuing and fairness is another challenge. Queuing is currently not present in vanilla Kubernetes but you can install some add-ons such as Armada that present some systems of jobs and queues and this is really similar to HPC system. But do we need queuing system at all? Queuing system in HPC is usually used for distinguishing between different kind of work nodes such as SMP nodes or just HD nodes but for this functionality you can fully utilize the Kubernetes system of labels and we believe that labeling system can actually replace queuing system that is used in HPC. However, we also need fairness. We need that some say greedy user does not eat whole infrastructure so every user can eventually do computation. So we need some kind of fair use policy and we need some mechanism that can force this fair use policy and in this area we are not aware on solution yet but we think that resource quotas and priorities can at least help in this area and maybe this is all we need at all. Another challenge is scheduling. PPS Pro contains complex scheduler that is able to do complex math computation of where the particular job will run and when. On the other hand Kubernetes contains a simple scheduler that does not contain such thing as fairness and complex computation of order of pots and also PPS Pro scheduler can handle situation such as big job eventually will run on any node so the node is drained and the job is running eventually. This is something that Kubernetes scheduler doesn't do and we have problem that we also saw such problem that user submit job that is greedy on resources for instance it needs 60 CPU cores and Kubernetes does not drain any node to satisfy this requirement. It can be solved by pot eviction if you configure the infrastructure that pot can be evicted from a node but this approach is not good for HPC case because imagine that pot is running some computation for one month and you definitely do not want to evict it almost at the end of the month because it means that the whole computation will run from the beginning. Also almost all scheduling algorithms assume that jobs has finished running time but many Kubernetes resources such as deployment or stateful set does not comprise time limit so they potentially run unlimited time and this is not a bug, this is something that this kind of resource designed for it should run in unlimited time but for scheduling this kind of pot is a real problem because they can't deal with such situation so this is still open question how to do scheduling in Kubernetes that would somehow be similar to PPS Pro but our goal is not to reinvent just new PPS Pro system that is fit to Kubernetes infrastructure last but not least challenge is how to gain user trust users currently use HPC infrastructure they have problem with it but they have at least something, it eventually work but if you introduce them a whole new infrastructure they are naturally afraid of changes will it work, is it stable and mainly is it some hype or will it be stable infrastructure for next years you have to convince them that yes it will work yes it's stable and yes it will survive next year and it will survive also many next years we also need to build better portals to make it easier for the users our future plans contains continuing transition from PPS Pro to Kubernetes and we also plan to build some experimental setup we imagine that worker nodes will be equipped with large SSDs and we want to build fast shared storage from these SSDs from the worker nodes and the challenge is how to provide reasonable data redundancy most of the solution consists of just replicating data so you have at least two or maybe three copies of data but in such a case you effectively reduce the capacity to the half or even one-third and we want to find a way how to do is more effectively for instance utilizing some RAID 6 equivalent or Ericsselomon codes with better redundancy and we need all this because we are pretty sure that some of the worker nodes will be down for some amount of time for say repuls or they can have hardware failure and it's not acceptable in such case that whole storage is not is going to be used so to conclude we provide unified container infrastructure in Czech infrastructure it's multi-tenancy so many users can connect it's suitable for both web services and heavy HPC loads and we are already running HPC loads I see there was mention that we utilized next flow framework so from this framework we already run tens of thousands of jobs just to prove that our infrastructure is working so it's all from us and thank you for your attention


Hello and welcome to CMC Markets on Tuesday the 21st of June and this week's weekly market update. And it would appear to be that the markets are pricing in a remain vote in the UK referendum this Thursday. Certainly, I think if the performance of the pound and equity markets over the past few days is any guide, I think financial markets are pretty much made up their mind. But I think it's important not to get too carried away because ultimately while the money in the betting markets is moving towards a remain vote, the opinion polls still remain very split. And I think that's the important factor to price in. Even though we've seen a significant rebound in risk appetite over the course of the past few days, the outcome still remains by no means certain irrespective of what you think about the current rebound. Having said that, we've seen a very nice rebound in sterling and it's actually managed to recover back to the levels that we saw prior to the referendum being called on the 20th of February. We can see that here. These are the February highs and we've managed to recover well above that. We've also managed to push above the May highs as well. And we're currently above the 200 day moving average. We're also currently above the trend line resistance from the May highs. Which does tend to suggest that potentially we could well head towards 149. Now whether or not we get there, I think really depends on first and foremost the opinion polls over the course of the next couple of days. But I think also in the context of the moves that we've seen in the US dollar. Because I think there is a US dollar element to this current move in the pound. Sentiment got overly bearish last week. One month and one week volatility got back to an exceeded levels last seen in 2008. And as with anything with respect to an overstretched market, you always get a significant position readjustment when suddenly sentiment starts to change ever so slightly. So we had a bit of a dollar element in terms of a slightly more dovish than expected Federal Reserve at the end of last week as indicated by those comments from James Bullard, head of the St Louis Fed when he suggested that the Federal Reserve is probably only looking at the potential for a single rate rise between now and 2018. But also the shift in the polls away from leave towards remain. Those two catalysts I think have helped provoke the really sharp rebound that we've seen in the pound against the dollar. But also I think in risk appetite more generally. I think in terms of the pound, the rebound has been much more extreme. You can see that here in this daily chart here. The big gap between where we closed on Friday night and where we opened on Monday. And that does seem to suggest that if we do actually get back down to these sort of levels of around about 144 then we could see a little bit of latent buying coming in. But on the top side these levels that we were highlighting a few weeks ago with respect to 149 are still equally as valid as they were then despite the fact that we took out this trend line support here. We weren't able to break below 140 and I think ultimately in terms of the bearish sterling outlook that 140 level is very very key. The long shadow on that candle there would appear to suggest that there's a significant amount of buying interest down there. We've also got long shadows here and here as well. So we can see straight away that that level I think is very very key for long term direction with respect to the pound on the upside certainly looking at around about the 149 area. But broadly against the Euro the pound has also done extremely well. We've seen a significant pullback in Euro sterling drifted lower quite significantly and could well be heading back to the levels that we saw at the beginning of May. So that's a significantly key level around about 75, 60. More importantly on the daily charts these two moving averages here the 50 day and the 100 day are starting to look as if they're about to roll over which would appear to suggest that ultimately we could well have seen the highs in Euro sterling. But again you have to introduce an element of caution into that equation given what we've got coming out in the next two to three days. More broadly the FTSE 100 again got a little bit of a bear trap there when we broke out or broke out below that 60-50 level which we highlighted here quite recently got really burnt on that particular move there we broke lower for two or three days and then we got an aggressive snapback and we opened higher pretty much well correlated with sterling at the moment is the FTSE 100 we are looking to push higher above that 62-20 area 62-20, 62-30 I think that's a key resistance level could well head up to this trend line resistance around about 62-80 from the April and June highs more broadly we've also seen a significant rebound in Brent crude oil that continues to remain fairly well underpinned we can see that here on this Brent crude chart the oscillator is now starting to potentially point towards further gains there keep an eye on these two trend lines here from the February lows but also the lows in June we can see that the February lows here the line from February lows here acted as support and we did get a fairly positive bullish candle here as well as the 50-day moving average so that's a key support there around about $47.50 so those for me I think of the key levels with respect to the pound against the dollar the FTSE 100 and Brent crude that's it for this week probably will do another one of these videos over the course of the next few days given the Brexit referendum coming up otherwise that's it for this week thanks very much for listening this is Michael Houston talking to you from CMC Markets


What's going on guys? It's your boy DPJ here today with another Destiny video and in today's video we have top 5 trials of Osiris plays of the week. Thanks to everybody who has submitted, keep the amazing submissions, commented email address linked in the top of the video description. Hope you guys do enjoy this video. If you do, if you could leave a like, I would appreciate the support and I'll catch you guys on that next one. This is Matchpoint. Bring your game.


It all started in my adolescent age when I had a traumatic experience. I couldn't cope with it at all because my family did not really appreciate me displaying any emotions and I basically wasn't allowed to live through the things that I was experiencing. Anytime when I would mention that I might be depressed, I might need some assistance with that and I was just, it was all brushed off and I was told that I'm making things up. And I couldn't understand what's going on but I was gradually shoving all my emotions more and more into a separate place of my brain. I wouldn't have to live through them, I would just get rid of them but that's not how it works. You kind of just throw stuff away out of your brain, it just doesn't work that way.


So then we have damages. You must include in gross income compensation you receive during the tax year as a result of any of the following injuries connected with your business. You got the patient infringement, the patent infringement, breach of contract or fiduciary duty, antitrust injuries, economic injury. So you may be entitled to deduct against income if it compensates you for actual economic injury. Your deduction is the smaller of the following amounts. The amounts you received or accrue for damages in the tax year reduced by the amount you pay or incur in tax year for recover that amount. So obviously if you have a damages type of situation, then you're going to be getting payments. And then the question is, do you have to include those amounts as income? And if they're an income, you also might then think what about the damages that I have or the economic injury, which would be the expense side of things. Notice we're talking about a net income of course, income minus the expenses is the net result that's going to be basically taxed on income being bad expenses or deductions being good. So your loss from the injury that you have not yet deducted. So punitive damages, so these are damages possibly not to recover the injury, but to punish the person. And therefore you're going to be receiving generally income for punitive damages and some lawsuit for that type of situation. So you must also include punitive damages in income as you would expect. So there's not going to be any expenses, in other words, related to the punitive damages you would expect because again, they're not recouping from damages, but are punitive in nature. So kickbacks, if you receive any kickbacks include them in your income on schedule C. However, do not include them if you properly treat them as a reduction of a related expense item, a capital expenditure or cost of goods sold. So we got the recovery of items previously deducted. If you recover a bad debt or any other item deducted in a previous year include the recovery in income on schedule C. So in other words, you might have said, I had income on a cruel basis. Let's say I earned the income, I recorded income, then I had a receivable. I was expecting people to pay me. They didn't pay me. And so I thought it was bad debt. So then I wrote it off as bad debt, taking an expense at that point in time. And then in the future, they actually paid me. Well, now I have a situation where I already wrote it off in the prior year, meaning I got a benefit from taxes. So do I have to amend the prior year tax return? Generally no, we would think we're going to include it in income in the current year to kind of reconcile the situation. However, if all or part of the deduction in an earlier years did not reduce your tax, you can exclude part that did not reduce your tax. So if you're in a situation for whatever reason, you didn't get a tax benefit from that happening in the prior year. This is a similar scenario to like state sales tax that oftentimes tax preparers are familiar with where you got to deduct the state. Did you get a deduction for the state sales tax? You would only have done that if you had a schedule C, for example. And then if you got a refund to the sales tax, the question is, well, did you get a benefit from the sales tax deduction last year as to whether or not you need to record it in income in the current year? So if you exclude part of the recovery from income, you must include with your return a computation showing how you figured the exclusion exception for depreciation. This rule does not apply to depreciation. You recover depreciation using the rules explained next. So now we've got the recapture of depreciation. So in the following situations, you have to recapture the depreciation deduction. This means you include in income part or all of the depreciation you deducted in previous years listed property. So if your business used, if your business use of listed property explained in chapter eight under depreciation falls to 50% or less in a tax year after the tax year you place the property in service, you may have to recapture part of the depreciation reduction. So you do this by including in income on schedule C part of the depreciation you deducted in previous years. You can use part four of form 4797 to figure the amount to include in income on schedule C. For more information, you can see what is the business use requirement in chapter five of publication nine four six. That chapter explains how to determine whether property is used more than 50% in your business.