Swedish Student Partly Solves 16th Hilbert Problem
An anonymous reader writes "Swedish media report that 22-year-old Elin Oxenhielm, a student at Stockholm University, has solved a chunk of one of the major problems posed to 20th century mathematics, Hilbert's 16th problem.
Norwegian Aftenposten has an English version of the reports."
You solved the whole thing or you got an F.
....are always the ones to solve the major problems, and always, by accident it seems. Steve Jobs, Bill Gates, Steve Wozniak, my favorite computer college "accidents" to cite, but there are many more, such as, for example, the kids in Japan who thought they solved ?(but unconfirmed).
I'm still trying to figure out the 15th Dilbert cartoon ...
"A door is what a dog is perpetually on the wrong side of" - Ogden Nash
Just somethingto think of.
Uh, sorry. Thought I was on fark for a second.
Seriosly though, a hot Swedish mathematician? That's so much like my dreams it's scary.
Jurisprudence Fetishist Gets Off On A Technicality --theonion.com
shes hot? man, us geeks must really have low standards. wait. i dont have standards that low. maybe im not a geek! woot! no...im probably just more out of touch with reality than most other geeks.
01100111 01100101 01110100 00100000 01101111 01110101 01110100 00100000 01101101 01101111 01110010 01100101 00101110
I hate to sound like a troll, but she's both smart AND cute. If she's looking for a cute american programmer...
;-)
Oh yeah, and the problem is cool too
Link
... I read it first time as "Swedish Student Party"
Seemed to be an interesting image!!
Seriosly though, a hot Swedish mathematician? That's so much like my dreams it's scary.
... but in the picture it looks like she's wearing a wedding ring, so dream on ....
I know what ya mean
-kgj
-kgj
in something only 10 slashdotters know anything about;
I couldn't find a google page about her (except the one in Sweedish).
Don't waste your vote! Vote for whoever you want, unless you live in a swing state it won't matter anyways
You know, she could be a swinger
Is this the same Hilbert of "Hilbert Space" fame?
Her website is here.
The abstract for her paper is here.
And you thought
An infinite number of monkeys will eventually come up with the complete works of
Dad gum it... Hoi probably meant this:
. jh tml?articleID=676806
http://www.aftenposten.no/english/local/article
the clock on the wall says 4 til 7
Or what about this?
How small a thought it takes to fill a whole life
Just kidding ... these are perfectly reasonable stories. But I'm still a bit surprised. But then, slashdot readers don't disappoint. They immediately honed in on Turing's sexuality and the student's physical attributes. Math, what math?
Mencken had it right. So glad that's old news.
Looks like the 20th century FAILED IT!!!!
Awww crap, did I say that out loud?!!! I'm gonna get a karma burn for that!
the preceding comment is my own and in no way reflects the opinion of the Joint Chiefs of Staff
all those people who comment with a "he" demonstrate that a good proportion of slashdotters don't even click the links and see the stuff linked to... it's a SHE!!!... and she's got a cute belly and a sweet smile too...
wow... imagine taking her to bed... i don't know if it'd turn me on that she's a published mathematician of extraordinary achievement or if it'd make me having an erection an infinitesmially remote possibility.
It is bad enough reading Slashdot at work without someone slipping in a URL with hot naked babes for me to click on. I'll check it out at home...
Maybe you weren't expecting a sloven, coke-bottled, matted-haired geek like the rest of us apparently were.
Yes, if you are OS X user.
the caption below the photo says "Elin Oxenhielm pointing to the second part of Hilbert's 16th problem on her web page"
looks like a chalkboard to me...
oh well.
Yes.. Here's a bio..
http://marc.theaimsgroup.com/?l=linux-kernel&m=106 988045610347&w=2
Linus releases another beaver and right after that, you can read this kind of news.
Coincidence? Nope.
For about 1.7 seconds, I thought the headline said ... oh, nevermind.
"It's not your information. It's information about you" - John Ford, Vice President, Equifax
They've got cute mathematicians, terrorist beavers, psychopathic elves and I've got friends over there. That's it, I'm moving to Norway.
It is by the juice of the coffee bean that thoughts acquire speed, the teeth acquire stains. The stains become a warning
I'm impressed by the sweedish girls at Stockholm University.
:)
:)
One
Two
Three
Four
Enjoy
they are infinitely more funny!
explanation: infinite is a mathematical term meaning "a whole bunch" - get it? Like a whole bunch of laughs you are receiving for your last joke!
what the hell is the answer?
90 posts already down the drain...
If you don't know what AltaVista is (was), get off my lawn.
I wouldn't really agree with that..
But it does seem true that math is "the young man's game".
(To quote the great mathematician GH Hardy)
Some of history's great mathematicians never lived to see their 30th birthday. Galois, and Abel for instance.
There are counterexamples, of course, the chemist Joel Hildebrand published his last research paper at over 100 years of age.
hot *and* smart.
Something you apparently aren't.
Doubt she spanks it to your picture.
Norwegian Aftenposten has an English version of the reports."
Uh..can anybody translate the english version into moron for me?
Mod me down with all of your hatred and your journey towards the dark side will be complete!
Do they give a nobel prize for attempted physics?
Here's a description of the problem from
http://aleph0.clarku.edu/~djoyce/hilbert/toc.html
snip...A thorough investigation of the relative position of the separate branches when their number is the maximum seems to me to be of very great interest, and not less so the corresponding investigation as to the number, form, and position of the sheets of an algebraic surface in space...
Can someone please post graphical, dumbed down representation of this problem so we can better understand it?
Dada ended art.
I dont think she is that hot. You need to get out more and get into a few more pants.
I must admit, despite having had better, I'd do her.
I just read that as
"Swedish Student Party Solves 16th Hilbert Problem"
And
Why didn't they just ask me the answer - I knew it was 42 the whole time. As a general rule the answer is always 42.
Stay tuned for new sig...
not only did he sneak a goatse into here and got people to look, but he even got a +1 informative out of it! moderators TRULY smoke crack.
Actually she's from Norway
... for a math student.
The "allegedly" made it funny.
Dangit! I have that song in my head...
"Mentos, The Freshmaker!"
If you ignore the other uses of a tool, does that make the tool less useful, or you less useful?
Does anyone notice that her pants are partially pulled down? By this observation, I can conclude that she must have had some....help... from a professor, perhaps? *wink wink*
"Ain't I a stinka..." - Bugs
shes hot? man, us geeks must really have low standards. wait. i dont have standards that low. maybe im not a geek! woot! no...im probably just more out of touch with reality than most other geeks.
Geeks who don't have a girlfriend don't have high standards. Geeks who have a harem of girlfriends whose surnames are JPG have high standards, as evident by their harem.
Beware: In C++, your friends can see your privates!
That was pretty nice, leading us down a primrose path and then throwing that 4th babe in there. Wasn't expecting that fine piece of crumpet. You bastard.
Beaver hit bus with tree
There is a disproportionately high number of kernel hackers in Scandinavia. This is what happens to our environment when open source is released into it. I'm contacting the Norwegian Green Party about having Linux banned, immidiately.
Irene KHAAAAAAN!
Years ago on my way to an MS Physics degree, I tried my hand at many imponderables and love to see a success.
Of additional interest is this story of a Swedish mathematics student is being reported in a paper from Norway (I love Opera browser BTW) and at the bottom of the page are other headines:
Drunken moose alert in southern Norway
Beaver hit bus with tree
Free Norwegian music overload
Researchers zero in on new Viking ship
aftenposten.no is on my favs list for sure !
TG
Our mathematicians are busy dribbling^H^H^H^H^H^H^Hanalizing around the girl^H^H^H^Hproblem
sign(c14n(envelop(this)), x509)
Great link. I'm so sick of chicks with implants. Well, not really, but it's nice to see some chicks that were born beautiful and decided not to mess with the body they were given.
you sir, are mistaken.
unless my 16-colour display is hiding something from me, this girl is not only smart as a dolphin, but pretty, too.
kind of wants to make me work harder at math, even for the day...
GENERATION 26: The first time you see this, copy it into your sig on any forum and add 1 to the generation.
Only on Slashdot does the expression "shove a greased Yoda doll up your ass" get an Informative moderation.
Karma: It's all a bunch of tree-huggin' hippy crap!
...if only they managed not to present them so dull and un-understandable.
Most often when you think that you've finally found the solution, it appears that the only thing that you've solved is the meaning of the dang problem description.
"We can confirm that Debian does *not* ship the version with the trojan horse. Our version predates it." [CA-2002-28]
...in Sweden right. So, not much point moving to Norway. Yes they're close, but does that mean you'll switch?
Math nerds were never that hot in my school. Yet another reason to move to Sweden.
https://www.eff.org/https-everywhere
Hey some NTNU girls are hot and clever too. I happen to know some of them.
Explanation: F(x) is the indefinite integral of f(x) if and only if d[F(x)]/dy == f(x).
Was anyone else disappointed that her home page didn't have a link to her nude webcam gallery?
When will Windows be ready for the desktop?
"Dada ended art."
actually bulldada ended art.
it was a mercy killing.
A blog about stuff.
OK, female genius mathematician, and the word "Hilbert". Anyone else make this free-associative long-jump?
"Why Subscribe?" Good question...
...for all of you who read it wrong... :)
In other word's, problem no 16 is still unsolved besides special cases.
Special versions of fermats theorem were already proofed by fermat himself. But it took 300 years until Andrew Wiles and one of his students proved it generally. If You look at the history of famous mathematical conjectures (ie fermats, poincares) You'll see: prooving a special case will probably not really help prooving the general case. If You are very lucky, You get a hint how to solve the "real" problem.
Going for a Masters degree.
However, being a party animal takes all of my free time and the chances of finding 1/100 of a solution to a famous math problem is rather slim...
Poor me
that not all swede chicks are blond and cute
Could be fake [wedding ring] to avoid being hit on by the /. geeks.
....
Oh, please. Let's review: young woman, beautiful, smart. That makes her a Slashdotter's dream. I think such a woman knows that Slashdotters won't dare hit on a woman of their dreams
-kgj
-kgj
It's sad, but I was more excited to see EverQuest Players Defeat 'Unkillable' Monster than the solving of a math problem. Makes ya wonder who's more geekier.
I wonder how many people read the article only because of this post here.
I know I did.
Computer Go: Writing Software to Play the Ancient Game of Go
Stalk-tastic!
This idea was invented by Shampoo.
http://www.fastfreevideos.com/099bb/pic/costume/30 ed/006.jpg
seen here solving a fluid dynamics problem.
I remember there being a somewhat modest flap in the US a few years back over the talking Barbie dolls being shipped saying the phrase "Math class is hard!" -- apparently the talking Barbie's in Sweden say something like "Flikarna kanna losa polynomial liggningarna battre an pojke!"
I wonder whether Ms Oxenhielm solved this first because no one else has heard of Hilberts challenges?
...everyone's got PERFECT teeth (of course, maybe it's not genetics but because they have really good orthodontists... Yeah, that must be it!!)
"So I was writing my algebraic theorem om my promotor's computer, and it went beep beep beep..."
http://www.aftenposten.no/english/local/article.jh tml?articleID=677487
Our math professor regularly spiced the homework assignments with "unsolved" math problems just to see if there was a genius hiding among his students.
has solved a chunk of one of the major problems posed to 20th century mathematics ...better late than never, I guess.
She was wearing a Tux shirt, but she told me it was her boyfriend's (sorry guys), and she didn't use computers much (just Mathematica on the SGIs).
The entire male membership of slashdot just went limp thanks to you Mr. Spoils-All-The-Fun!
GMD
watch this
Now that's fucking funny.
I once met this girl that was a med student, and was ridiculously gorgeous. Although actually I guess managing to get nude pictures of her to put on my website doesn't really count as hitting on her, huh.
Doesn't count as hitting on her. But if there were any justice, those pix would send your karma rating sky-high.
Ok, well there was this other girl a few weeks ago that I asked out to coffee and then couldn't talk to...
The Slashdot Effect, dammit.
Maybe skip the coffee, try alcohol instead?
-kgj
-kgj
....would be the inappropriate chuckle (he he he). But I suppose few would get it.
Ads are broken.
You can find a list of all 23 problems here. Some of them have already been solved.
The abstract of the paper, linked elsewhere:
Let k be an integer such that k is larger than or equal to zero, and let H be the Hilbert number. In this paper, we use the method of describing functions to prove that in the Lienard equation, the upper bound for H(2k+1) is k. By applying this method to any planar polynomial vector field, it is possible to completely solve the second part of Hilbert's 16th problem.
I wanted to read the responses to this article because I thought that maybe one Slashdotter could give a qualified explanation of Hilbert's 16th problem, and maybe even explain something about the partial solution. That was possible back when Andrew Wiles proved his theorem, you know.
And look at this, not a single post even gets started on the subject! At least not when you browse at +2, like I do. But we're all standing around slobbering over the thought of a hot Swedish math babe! And so am I!
Hey Taco, can we get this gal for an Ask Slashdot interview? She could explain her theorem, and tell us something about her lingerie.
Always keep a sapphire in your mind
This is apparently a true story. At least, I have Dantzig's account here in "History of Mathematical Programming -- A Collection of Personal Reminiscences." Two interesting side nodes:
http://www.aftenposten.no/english/local/article.jh tml?articleID=676663
When I read this headline, I had visions of a couple of geeks sitting in a dorm room with a big coffee pot, some crates of beer, some pizza's sitting around listening to ABBA - talking (as geeks do) when one of them pipes up and says: "You know, when you say that, this makes me think of that maths problem in class yesterday." another pipes up: "You know, I just think we solved it."
Anyway bit of a let down when it was part*l*y, rather than party!
|>>?
I can just say one thing:
Caramba!
Student party solves 16th Hilbert Problem? Jeez, when I was a student, we did drugs and group sex at parties, not math! Being a student just isn't what it used to be.
Am I the only one who finds geekish lusting to be just as offensive as oafish lusting? I mean, seriously, you would hope at some rung on the intellectual ladder that a woman could accomplish *something* without a reference to her more obvious qualities.
Yes, I am a female, and I am quite positively a hideous beast, most horrendous in my wrath. Why else would I be commenting at all, right?
If you look really carefully, you will see an engagement ring on her finger.
Guess we all luck out.
This sig intentionally left blank
A student party in Sweden looks more like this :
Party #1
Party #2
Party #3
I know not what course others may take; but as for me, give me liberty or give me death!
What are you an idiot?!? Haven't you seen any teen love movies? Geek chicks always turn out super hot!! All you need to do is take of the glasses, let down her hair and unbutton her shirt a little.
Glasses? check
Long hair in bun? check check
Dowdy, boyish outfit? check check eheck!!!!
She is the trifecta! MAN SHE IS RIPE FOR THE TAKING!!!!
If you can't see that, well, then that's just sad.
Arbitrary sig
It's sad to see how fast the posts went from "discussion" to almost pure sexism.
/. normally. Focus on the relevant part. She proved a part of an unsolved problem at the age of 22. Give her some respect. Kudos to Elin!
:)
Come on, what kind of people do you want us to be seen as?
So she's pretty hot, so what? I don't see a lot of "hot chick"-articles on
Wish we were all as smart her, here in southern Sweden as well.
Except engagement rings in Sweden don't look like American engagement rings.
In Sweden, the telltale sign of an engagement ring is an _absence_ of any stone. It's a nondescript gold ring. It looks pretty much like The One Ring but without the elvish runes. On the inside of the ring, though, date and names are engraved.
I'd say this particular ring is either a family heirloom, or that she's extremely Americanized. My guess at odds for the two options would be about 90/10.
... I read that as Sweedish Student *Party* Solves whatever it was.
No, I havn't read the article, but my guess is the people at that party were doing some good shit to be solving what sounds like a maths problem.
Seriously, Norwegians don't understand Danes either? :-) I've always regarded Norwegian as being sort of halfway in-between Swedish and Danish...
From what I remember from my college studies (seem to have flushed most of it out by now), any book where the title started with "Introduction to..." or "Elementary" was a warning you'd better sit down and brace yourself before opening the cover.
Those books were, as you say, nightmares.
That site is alright
It so happens I have a torrent of site rip, but I guess I can't post it, sorry.
Kirk's log?????????
And here I was wondering if you got walloped with a surgical two-by-four if you turned in a wrong answer.
--
"Outlook not so good." That magic 8-ball knows everything! I'll ask about Exchange Server next.
I know that this is Slashdot and that around here the looks of a mathematician are more important than her work, but if anyone is interested, here are a few pointers to get to know more.
First, a short description of Hilbert's problems at Wolfram: Hilbert's Problems -- from MathWorld.
Then, a link to a text of Hilbert's original lecture in Paris in 1900.
Next, a quote of the 16-th problem as laid out by Hilbert. (Sorry, no fancy LaTeX here.)
Finally, I'll quote the abstract from Miss Elin Oxenhielm's article On the second part of Hilbert's 16th problem :
To get the full text of the article you must apparently have a subscription of pay a $30 fee. It is easily available if you follow the directions from the author's page as I did.
Hope this helps
Now allow me for a few comments: solving one of Hilbert's problem is a huge achievement, even it's only part of one. What is even more stricking is that it's coming from a woman. Don't get me wrong, I'm no sexist, quite the contrary. What I mean is that only very few women made it to be recorded in the history of the mathematical science at large: other than Hypatia of Alexandria; Maria Gaetana Agnesi; Sophie Germain; Ada Byron, Lady Lovelace; Sofia Kovalevskaya; Emmy Noether, not many names come to mind. It would be really nice to add another one, to begin, and then work up from there.
Xavier
Do I make sense? Please report if not.
Yes, Elin might have solved Hilbert Q16 for "fun", or to keep her gradstudent job. But now that we have her solution (partial though it is), how can we use it? Hilbert "spaces" are important to the 20th century topology insights that quantum mechanics uses, therefore to our worldview, as well as technology. What can we do with the topology in a proof of Q16?
--
make install -not war
What computer problems did they accenentaly solve? Jobs and Gates started companies, and Woz built a computer that did what it was supposed to do.
autopr0n is like, down and stuff.
did you see the pic? She's friggn' hot. I doubt she has any trouble finding willing sexual partners...
autopr0n is like, down and stuff.
Huffman coding is not minimaly redundant, because you always need at least one bit per symbol. If more then 50% of a signal is one symbol, it's wasteful. There's an encoding out there that lets you use less then a bit, but I forget.
autopr0n is like, down and stuff.
youve read 300 posts about how attractive this math chick is, one that disputed that anything was even acomplished, and about 52 that argue that people should be discussing the math.
no you will never find out what this problem is, or what any of this means.
one of the guys on Myth Busters?
I eat my grapes at room temperature, cuz the cold ones hurt my teeth
Shes cute, I wounder if she can solve blanks first problem.....
TruePunk | Games
I'm sorry for breaking it to you this way but,
She Has Jay Leno's Chin !!!!
Oh man! You guys mod the parent offtopic for saying she's ugly while modding +5 all the morons who say she's hot.
Way to go slashdot!
Reading Hilbert's lecture and a couple other sources, here is what I THINK Hilbert is asking in his 16th problem. Take this with a grain of salt.
The first part of Hilbert's 16th problem asks about the relative number and position of the components of a curve of order n. In other words, if we look at the graph of an equation of nth degree in the plane, what might the graph look like? We can describe it fairly easily for small n.
If n=1, the first order equations are precisely the linear ones, so the curve always consists of a single unbounded component (the straight line).
If n=2, the general equation of the 2nd order is Ax^2+Bxy+Cy^2+Dx+Ey+F=0, also known as the equation of a conic section. Depending on the coefficients, the graph will be a point, a line, a parabola, two intersecting lines, an ellipse, or a hyperbola. Geometrically, all of the cases but the last are only a single component. Therefore an equation of the second order has at most two branches. When there are two branches, they both are unbounded.
The case n=3 is much more complicated, and involves the study of what are known as elliptic curves. Beyond that, it just gets worse.
What Hilbert wished to have investigated was the geometry of the branches in the case of the curves with the most branches. As it turns out, you can't just have any orientation. If n=6, for example, the greatest number of branches is 11, but if the curve has 11 branches then one of the branches will always lie completely inside another branch. The 16th problem asks what similar restrictions are required for other n, and what happens if we look in higher dimensions than the plane.
A related problem that Hilbert referred to in his problem was that of curves defined by differential equations instead of polynomials. Here the objects of interest are boundary cycles of first order (featuring no derivatives higher than the first) differential equations. I have not encountered this term before, but if I had to guess I would say a boundary cycle was a closed, limiting path of a function satisfying the differential equation (so, for example, a boundary cycle of the second-order differential equation given by gravitation would be a planet's orbit after it is sucked in the system). The same sort of question is asked: how could these cycles be placed relative to one another in the plane? It is this question that may have been answered by the student in the article.
The fourth link could have been to goatse.
I am married to a mathematician. After receiving his PhD he went to work within academe
However, some 12 months ago he quit academe for private business
So
However, be that as it may, I also think it is a little bit over-simplistic to disparage anyone for coming up with a brilliant idea while just lazing around not gainfully employed. I read somewhere that Goedel came up with some of his best ideas while at a sex romp in the Austrian alps. That doesn't make those ideas any worse, now does it?!
The liver is evil and must be punished.
Danish is not a language, it's a speech impediment. Denmark is not a country, it's just a place God forgot. The only good Dane
The liver is evil and must be punished.
Clever though she was, Elin didn't account for the effects of gravity.
Her homepage has a hig res version of her picture. ;)
Sindri Traustason.
...first read "Swedisch Student PARTY solves 16th Hilbert Problem" and imagined a really wild party including young, hot, blonde... Man, now you can't even read slashdot anymore without... these... thoughts...
;)
Where else can I turn?!?
she's not cute. here are some cute swedish girls
The comment clarifies the whole issue.
Damm why don't I ever get invites to parties like that, you know with girls that solve hilbert problems, seriously that sounds like my kind of party fun, booze chic's and maths what more could a maths geek ask for.
in my life God comes first.... but Linux is pretty high after that
Francis Smit
What an amazing coincidence. I've just been waiting for a solution to the second half of Hilbert's 16th problem to be able start construction of the first transatlantic tunnel, featureing all transparent aluminum construction to allow seeing into other cars.
Who is John Cabal?
is on her website. We are really a big bunch of nerds on Slashdot. We talk about how hot and sexy Elin is, but nobody actually calls her up :)
I don't think the question is so much as what is the answer to the problem(s) but more like why do we feel the need to answer these questions?
What is the net result of solving these 'problems' and what is the practical application?
...deep linking.
Go here, follow the right path, and you would know it was true before you read the story.
+&x
Now if only I could figure out how to call that crazy-looking 9 digit phone number of hers....
Here writing a Mathematics Ph.D. student. I am making my thesis on 16th Hilbert problem and I have read Elin's article. Her idea is very good, extremely good, but there is a mistake (she does not prove that the rest of harmonics can be "forgotten", so, there may occur a lack of convergence).
...
I fell very bad, because this is an error of the publishing system. Nowadays, there are over 30 PUBLISHED articles saying to having solved part of 16th Hilbert problem, but they are all fake. I cannot understand how referees can pass through this kind of things... and editors!?
In any case, if Elin reads this, or somebody who knows her read this, please tell her that the idea was very fruitful. It may be applied to know more about this difficult problem. If you are interested in the problem, good references may be the following books (I write the authors): Ye Yian Qian et al. (Qualitative theory...), Perko, Arnold (any of them),
Well i find her to be not-so-baad. And before yelling here about ("i'd hit her" or "i'd do her"), i would first talk to her, and estimate her intellgence and interests.
i'm sure she might be extremely interesting and smart.
Just wanted to tell something good, in case if she, herself, gots there and finds all this mud about doing and hitting
I'm sure i wouldn't find it to be very pleasant. Also we should note that girls are subject to cry whenever possible, and reading most of these coment's might be cause of that.
I think it is safe to say that most Slashdotters would consider anything that breaths to be cute enough to have sex with.
... will be released soon! I will publish some hot new photos there...
Elin Oxenhielm
Something that WAS breathing 10 minutes ago
BBC news article - with links to hilberts lecture, etc..
Murphy's Law of Research: Enough research will tend to support your theory.
I don't know why you all are considering pretty this girl; she's averagy, kinda ugly maybe... ...definitly I rather the last one to the first one. No joke.
Brilliant!
The Norwegian newspaper Aftenposten has a story called Landmark 'proof' under heavy fire.