space, and kepler's problem was solved by thomas hales in 1998, precisely three- dimensionally, so here a little like this, of course, it sounds very beautiful, but not quite, unfortunately, not quite true well, actually, i didn't know that i could do it to solve, but hey, when in science you have to take risks. here, without it, you will not be able to talk about the practical side of this problem. as far as i understand, you solved it in 2016, or in these six years, there are already some practical ones the steps are practical , exactly where they are used in practice, this is your solution to the problem, and maybe in the future there is such a thing, well, here maybe i am such a thing that will disappoint someone a little, but in fact it is practical. and you proving the theorem is quite difficult, that is, the proof is the same as if and the argument is which has convinced to convince that that some statement is true. and how to apply it in practice is not very clear, well, that is, it is practical. if we joke a little here, the practical result is that no one will now try to build

we will discuss the impact with kepler chevreux's head of aviation equity research.is bloomberg. ♪ tom: welcome back to the open. we are 45 minutes into the european trading day, gains of .4% across european equities. petrus stateside pointing up by .3% and .5%, flatness in the u.s. yield curve. 2.92 and 2.93 between two's, fives and tens. travel is up by .9%. francine: routes, cancellations and higher travel fares, that is what we have seen across the u.s. and europe. the fourth of july with the latest crunch point or a number of airlines tackling staffing shortages . tom: airlines across europe are planning deep cuts to their schedules and many are facing strikes. one of the latest casualties is scandinavia's largest airline, sas, which has filed for bankruptcy to cut its debt load. joining us now is ruxandra haradau-doser, head of airlines and equity research at kepler chevreux. thank you for joining us this morning. in terms of what we are seeing when it comes to filing for chapter 11, is this a one and done, or are more airlines likely to file for bankruptcy as

however, the bats came alive this weekend manager gabe kepler is really hoping his team has turned a it started on sunday. the giants beat the padres 12 to nothing. on tuesday. they beat the diamondbacks 13, nothing last night. it was situational hitting that lifted the giants over the d'backs shortstop brandon crawford hit a walk-off single that sealed the giants come from behind. 43 victory manager gabe kepler says his team is turning a corner at the plate. however, captors biggest focus for the giants approaching the 2nd half of the season defense. he says some simple mistakes have led to letdowns for his team. so far he really wants to see them clean that up. >> our ability to protect our pitchers by playing good sound defense. that doesn't mean making extraordinary play, but probably making the routine being on top of the mental side of the game. so that means getting over to cover the bag at first every single time backing up bases from the outfield, making low line drive, throws through the cut and just plain fundamentally sound. baseball start our best chance to win going for

manager gabe kepler city wants to see them improve on. so it's hard to say for me which area that you'd rather see them clean up. i think starting pitching has been solid, at least. yeah, they. it seems like last year, every single close game they were in. they won. it seems like polar opposite this year. every single close game. they're in. >> they whole this series. they had a couple close ones here, especially on friday night when they won on that walk off. that was probably the highlight win of the season. but whole lot of baseball to play so they can get it going. and he's on the team were about to chat about their on the opposite end of the spectrum often have much to play for. yeah. yeah. the giants seem like they may be turning a corner at least turning upward. the a's. it's pretty tough right now. they're holding on to the second worst record in baseball. you think it can only go up from here, but i'm not going to hold my breath at all. a perfect catalyst for a turnaround would be winning a series against the astros. oakland had

you might not your live, it wasn't the thing i knew for those, but not gone pools provide you with kepler's kidney, with when i did not get smoke, i thought that was all it was done yes, i brought it. leslie said, well listen, bluff. let me know. but if it's o'clock with christopher keith, i thought it was like a movie shaky about to get a schedule study shows that you would need a big deal is by these machine. yeah. if you want to produce them with like gosh, get a dealer, they lost the store and you got the limited z u. so for the upgrade, you know, but the one that goes up to the bull supposedly a said he can actually get we pride on graham, and you have a good almost who ah as of style steel plants, 11 the square kilometers, stuff with exclusive booby traps. mind unexploded shells everywhere. a lot of them, a muddled up brushes, international mine action centers. bomb squad is kind of from the sweeping every inch of it. mm . with almost 2 months, fierce fighting raged around the as of style plans. russian troops and dpr militia forced the ukrainian military to leave mario pope and retre

jason is struggling. >> highland is always hard to get a read gabe kepler lead team.so even killed in his team always takes that personality on. but last year there was just a quiet confidence with that group. they want 107 games and you could just tell that they will be ready every night being around the team today in the last couple of days. what type of mentality do you get from them? do you see that same confidence or is a little unwavering this season? >> manager gabe kaplan would play at office if the team is approaching every single game, the same way he mentioned that about approaching a very strong and all central leading milwaukee brewers club. tonight, he said we approach every single game the exact same way we don't get too high or we don't get too low. however, there has to be some concern within the ball club and within the clubhouse just because the giants offense has struggled so much. one player who came up in pre-game is shortstop brandon crawford. he batted one 60 in the last 30 days, really unusual for someone to giants typically rely on. he had a

gabe kepler, the defending nl manager of the year. they have what it takes to get it done.'s just a matter of seizing that opportunity. one part of their game that has seriously been lacking all season long is their defense gave catholic spoke to that earlier today. >> our ability to protect our pitchers by playing good sound. crist, people defense, it doesn't mean making extraordinary play but probably making the routine being on top of the mental side of the game. so that means getting over to cover the bag at first every single time backing up bases from the outfield, making low line drive, throws through the cut and just plain fundamentally sound. baseball start our best chance to win going forward. >> now, as i said earlier, this is a tremendous opportunity to gain some momentum against one of the best baseball teams in the majors. the milwaukee brewers. they lead the nl central. so a big test starting today. it is a 3 game series with them. as i said, the giants have been up and down all season long. so, you know, it's a little sobering after such a great season last

gabe kepler and company just trying to keep their heads above water against the diamondbacks in arizona. bottom of the second cantor, a takes carlos road on deep to left and just over the wall looks like a fan may have reached over and interfered. but upon review, it's ruled a 2 run. homer. >> it's 2, nothing d'backs. 3rd inning, wilmer flores. with the blast down the left-field line. it is gone. all the ball's going right there and we're tied 2 to 14 home run of the season for florence. but in the bottom of the frame, christian walker with a high drive to you guessed it left. it's gone for a three-run homer. it's 5 to d'backs and road on. it's very clearly frustrated. kicks a bat right into tiros strada, obviously an accident. but just everything going wrong for the giants road on had 10 strikeouts in the d'backs scored all 7 of their runs and only 5 hits final score. 7, 3, diamondback. so the giants have now lost all 6 games since the all-star break. meanwhile, a's fans were dancing at the coliseum as their team took on the astro's having some fun. chad pender, give them a reason to b

but obviously still a lot of baseball left to play after the game manager gabe kepler voiced his frustration with the play of his team. >> not good really frustrating. level of play that it's not going to be acceptable for so 2 to enough. >> all right. better look for the giants when they come back to san francisco. meanwhile, a's in a position to wield the broom tonight as well. they took the first 2 games in the series with the rangers and fans on hand today. think again. they've got a good chance with all-star paul blackburn on the mound. but not going to happen. top of the first is already down one. nothing. adolis garcia. rips a 2 run homer to left 3, nothing rangers. remember, this is the first inning blackburn got rocked for 10 runs on 10 hits in 4 and a 3rd innings. nothing going right for the a's rangers 5th corey seager with a moon shot to center field are over fence. just can't come down with it. seager hit his 23rd homer of the season and you see on the replay lauriano comes up with an empty glove. the rangers built an 11 to one lead before the a's offense came alive. a little bi

gabe kepler was a very frank that his team just really isn't playing well and multiple facets of the game, but he also wanted to keep it all in its proper perspective. >> what kind of ongoing things are not? what a light switch, right? and so we're we're working through it. this is a group that as individuals and collectively have experienced adversity before. this is not new. it's a challenge that i think we all take very seriously. it's not going to get bent out of shape and it's super low because we have all individually and collectively experienced adversity before sometimes everything goes really really well for one church the time and baseball for a long stretch of time, which has happened here. >> but it's not just operating since just part of the game. >> just part of the game. that's right. with the a's are in seattle and they were all looking to even the series with the mariners. the final game of a four-game series. alright, rainy up there at t-mobile park. let's go to the bottom of the first right. we've got no score. julio rodriguez steps up and and and taking frankie mo

look at gave kepler. he's just chill and relax in max and all cool change. some outside the pool recognize that one giants win this game 12. nothing will get the 2, 2, split in san diego after the game. floors and wood talked about their big performances today. >> it was good that finally felt like as best my side has been all year for sure. and so. able just between you know, just like i my side best. it's been all year you know, come into the mall. >> start to finish. just really get that for being with for this game about 2 we finally got i think. i was starting fastballs today. lately. i was in, you know, i wasn't i wasn't ready hit. i mean, it's just some kind of go fans. but >> today i just thinking fastballs and i there's always friendly competition. i you know, if somebody goes out there than foreign dominates, do you want you want to follow that up with with a really good call to start the next day? and so, you know, i've always enjoyed pitching here in san diego. and, you know, just just glad that i get started and give what doing. >> infielder wil

had 45 points and holds a three-point lead over marty fish who's in second place giants and padres kepler gabe and brandon crawford chillin in san diego, carlos rodan a giant effort at one point. he retired 22 in a row struck out manny machado three times finished with 12 strikeouts top of the eighth now tied at one wilmer floors plate two run blast to his friends in left. it's 3-1 giants a big swing and rodan part of the dugout fist. throwdown bring in the heat into the knife. how about his last pitch? it's gonna be 99 miles an hour of straight gas and he was fired up his second complete game of his career giants win 3-1 just their fourth victory in their last 16 games though a's and astros from the colosseum. wake up young man baseball game going on bottom four ace down two. nothing bases load of seth brown swinging fund. sean murphy boyd's attack. he's safe a's down a run very next pitch ball ricochets off catcher, martin maldonado el andrew scores and just like that. we're tied two pitches later. and this baseball gets away steven piscotti is going to score in oakland takes the lead d

gabe, kepler and company trying to get off the chi things not looking good for the skipper and his squad. second inning, alex thomas singles to center off alex cobb. 2 runs come around to score diamondbacks lead 4, nothing and you're thinking, oh, my gosh. here we go again. 8th inning, though. it's 4 to now with a runner on pinch hitter. darren ruff. my dog skies one deep to left. that's gone for a 2 run shot. giants signed up for for austin smith austin slater in the top of the 9th bases jacked and slater comes through smacks one the other way to write my queue stretched trend in crawford. come on down. they score giants rally to take the lead game. still going on. 74 now giants lead bottom of the night. so let's finish it out. but things are looking good for the giants. meanwhile, the a's going for a season-best 3 straight coliseum and the kids taken in ball. game top for the a's. nick alex, great diving stopped. good get him. starter. james says yea. yeah. that's the way game. scoreless going into the 6th inning in the 6th ramon loriano. left center. heck of a catch by the fans solo s

gabe kepler. we'll also throughout the pere first pitch just a little bit high there to his son. the bottom of the 3rd giants up one. nothing one on for your mean, mercedes slapped one into left field for a base hit offense later comes around and scores giants to pad their lead to 2. let's go down to the next inning. one on for luis gonzalez. he well, yes, all of this one here high and deep goes right into the water. levi's landing mccovey cove. call it what you want. it's a 2 run bomb for nothing for the giants. there will clark approving of very next batter on the first pitch, joey bart unloading on this one deep to left field. that one way out of here. giants go back to back. will the thrill, of course, loving to see the offense and his day, but well, chicago's going make this one a little bit interesting. let's go to 9. they cut the deficit down to one. but dominic leone gets have to ground out to wilmer flores. and that ends up being the ball game, of course, ending at first base, right? double clarke day 5 for the giants win. but before the game, will clark reminisced about

you gabe kepler. he also threw out the first pitch. yeah to us and just a little bit high there that, hey, you know, it's not bottom of the 3rd giants up one, nothing on one on for your mean mercedes. and he slaps one into left field. a base hit. austin slater comes into score giants pad their lead to 2. let's go on over to the next inning. one on for luis gonzalez. gets all of that one high and deep to right field into levi's landing that 2 run shot, extending the lead to 4. will clark there, of course, approving. let's go to the very next batter here on the very first pitch out, joey bart unloads on this one deep to left field way out of the ballpark. giants go back to back. will the thrill loving this? see this offense come alive for him. but the chicago comes that would make this one interesting. let's go to the 9th inning. they cut the deficit to one. but dominic leone gets he and a half to ground out to wilmer flores. and that there is the ball game. giants hang on to win 5, 4, for the game. of course. well, clark reminiscing abo

field basically three two, arizona giants have had five straight games with at least one era gabe keplere's vr first rbi rips at the right center. there's eval longoria 4-3 game, but that is as close as the giants get bottom of the sixth hose or josh rojas liner the left and that was all the way to the wall another run scores giants lose eight three, they've lost five now in a row out bay area native and cleveland guardians outfitters, steven kwan making an amazing play in detroit riley green to left and quan nice just lovely leaping near the sidewall. no fear kwan is here. the gardens lost game one of that double header though for one, but he did make a great play six years ago today kevin durant announced. he was headed to the warriors releasing my next chapter in the players tribune. that was july 4th. 2016 durant won 201 warriors before heading to brooklyn following the 2019 nba finals espn's mark spears reported yesterday. there is talk about durant potentially coming back to the warriors now. he says in order for that to get done. words, you're gonna have to give up a lot including

gabe kepler and company just trying to keep their heads above water against theediamondbacks in arizona. bottom of the second cantor, a takes carlos road on deep to left and just over the wall looks like a fan may have reached over and interfered. but upon review, it's ruled a 2 run. homer. >> it's 2, nothing d'backs. 3rd inning, wilmer flores. with a blast down the left-field line. it is gone. all the ball's going right there and we're tied 2 to 14 home run of the season for florence. but in the bottom of the frame, christian walker with a high drive to you guessed it left. it's gone for a three-run homer. it's 5 to d'backs and road on. he's very clearly frustrated. kicks a bat right into tiros strada, obviously an accident. but just everything going wrong for the giants road on had 10 strikeouts in the d'backs scored all 7 of their runs and only 5 hits final score. 7, 3, the giants have now lost all 6 games since the all-star break. meanwhile, a's fans were dancing at the coliseum as their team took on the astro's having some fun. chad pender, give them a reason to bases loaded in the

i was wondering about some of these other men such as galileo and bray and kepler and others who made their own mechanisms. is there any evidence that they had any idea that such thing had previously existed? i i'd rather well i it's very hard to say since galileo and you know this this scientist they came across with the first manuscripts that were translating to latin. so if they they had the they had access to telemouse for instance the astronomical mouse with his alma guests now the alma guest itself in inside the armaged they are paragraphs which described mechanisms like the antichromechanism and from the mouse, of course. he called it matteo oroscopyl. this is the greek ancient greek name for something like the antichromechanism. another name would be a tablet a tablet in the equivalent of the mechanism. they did not call it a mechanism. of course. this is modern stuff and therefore. yeah, they were they definitely were well aware that the ancient greeks had advanced science technology. this is why galileo went so i mean he prays that he made this to heaven. i mean, he's just h