Author Topic: Mathematicians deliver formal proof of Kepler Conjecture  (Read 1437 times)

0 Members and 1 Guest are viewing this topic.

rangerrebew

  • Guest
Mathematicians deliver formal proof of Kepler Conjecture
« on: June 18, 2017, 01:19:43 pm »
Mathematicians deliver formal proof of Kepler Conjecture
June 16, 2017

A team led by mathematician Thomas Hales has delivered a formal proof of the Kepler Conjecture, which is the definitive resolution of a problem that had gone unsolved for more than 300 years. The paper is now available online through Forum of Mathematics, Pi, an open access journal published by Cambridge University Press. This paper not only settles a centuries-old mathematical problem, but is also a major advance in computer verification of complex mathematical proofs.

The Kepler Conjecture was a famous problem in discrete geometry, which asked for the most efficient way to cram spheres into a given space. The answer, while not difficult to guess (it's exactly how oranges are stacked in a supermarket), had been remarkably difficult to prove. Hales and Ferguson originally announced a proof in 1998, but the solution was so long and complicated that a team of a dozen referees spent years working on checking it before giving up.


Read more at: https://phys.org/news/2017-06-mathematicians-formal-proof-kepler-conjecture.html#jCp

Offline ABX

  • Hero Member
  • *****
  • Posts: 900
  • Words full of sound and fury, signifying nothing.
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #1 on: June 18, 2017, 09:50:54 pm »
Sometimes we may think these 'proofs' like this sound silly, but as we move toward automating many of the things we do, even the simplest tasks, if spelled out mathematically, are highly complex. This is a great example of that.

Offline driftdiver

  • Hero Member
  • *****
  • Posts: 9,897
  • Gender: Male
  • I could eat it raw but why when I have fire
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #2 on: June 18, 2017, 10:00:42 pm »
Sometimes we may think these 'proofs' like this sound silly, but as we move toward automating many of the things we do, even the simplest tasks, if spelled out mathematically, are highly complex. This is a great example of that.

Now we can automate orange stacking.  Jk
Fools mock, tongues wag, babies cry and goats bleat.

Offline endicom

  • Hero Member
  • *****
  • Posts: 10,113
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #3 on: June 18, 2017, 10:09:04 pm »
But why do Ruffles have ridges?

Online Smokin Joe

  • Hero Member
  • *****
  • Posts: 56,678
  • I was a "conspiracy theorist". Now I'm just right.
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #4 on: June 18, 2017, 10:41:49 pm »
But why do Ruffles have ridges?
To increase their strength for dragging them through onion dip. They're a little thicker, too.
How God must weep at humans' folly! Stand fast! God knows what he is doing!
Seventeen Techniques for Truth Suppression

Of all tyrannies, a tyranny sincerely exercised for the good of its victims may be the most oppressive. It would be better to live under robber barons than under omnipotent moral busybodies. The robber baron's cruelty may sometimes sleep, his cupidity may at some point be satiated; but those who torment us for our own good will torment us without end for they do so with the approval of their own conscience.

C S Lewis

Offline endicom

  • Hero Member
  • *****
  • Posts: 10,113
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #5 on: June 18, 2017, 11:55:30 pm »
To increase their strength for dragging them through onion dip. They're a little thicker, too.


SSS (f)dip dx

I think that works.

Online catfish1957

  • Laken Riley.... Say her Name. And to every past and future democrat voter- Her blood is on your hands too!!!
  • Political Researcher
  • *****
  • Posts: 31,461
  • Gender: Male
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #6 on: June 19, 2017, 12:01:27 am »
But why do Ruffles have ridges?

To reduce bacteriological contamination due to  these folks......

I display the Confederate Battle Flag in honor of my great great great grandfathers who spilled blood at Wilson's Creek and Shiloh.  5 others served in the WBTS with honor too.

Online bigheadfred

  • Hero Member
  • *****
  • Posts: 18,598
  • Gender: Male
  • One day Closer
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #7 on: June 19, 2017, 12:10:27 am »
To reduce bacteriological contamination due to  these folks......



Right. Ribbed for your protection.
She asked me name my foe then. I said the need within some men to fight and kill their brothers without thought of Love or God. Ken Hensley

Online Smokin Joe

  • Hero Member
  • *****
  • Posts: 56,678
  • I was a "conspiracy theorist". Now I'm just right.
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #8 on: June 19, 2017, 12:42:24 am »
Right. Ribbed for your protection.
I think that was just for sensation. Seems to me the ribs would harbor even more bacteria, especially if there is drool involved.
How God must weep at humans' folly! Stand fast! God knows what he is doing!
Seventeen Techniques for Truth Suppression

Of all tyrannies, a tyranny sincerely exercised for the good of its victims may be the most oppressive. It would be better to live under robber barons than under omnipotent moral busybodies. The robber baron's cruelty may sometimes sleep, his cupidity may at some point be satiated; but those who torment us for our own good will torment us without end for they do so with the approval of their own conscience.

C S Lewis

Online bigheadfred

  • Hero Member
  • *****
  • Posts: 18,598
  • Gender: Male
  • One day Closer
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #9 on: June 19, 2017, 12:57:28 am »
I think that was just for sensation. Seems to me the ribs would harbor even more bacteria, especially if there is drool involved.

You think?  But you're not sure. :silly:

Juuust ribbing ya.

Sensationalize it all you want.
She asked me name my foe then. I said the need within some men to fight and kill their brothers without thought of Love or God. Ken Hensley

Online Smokin Joe

  • Hero Member
  • *****
  • Posts: 56,678
  • I was a "conspiracy theorist". Now I'm just right.
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #10 on: June 19, 2017, 01:09:08 am »
You think?  But you're not sure. :silly:

Juuust ribbing ya.

Sensationalize it all you want.
I wasn't the one feeling it. I like my chips plain...
How God must weep at humans' folly! Stand fast! God knows what he is doing!
Seventeen Techniques for Truth Suppression

Of all tyrannies, a tyranny sincerely exercised for the good of its victims may be the most oppressive. It would be better to live under robber barons than under omnipotent moral busybodies. The robber baron's cruelty may sometimes sleep, his cupidity may at some point be satiated; but those who torment us for our own good will torment us without end for they do so with the approval of their own conscience.

C S Lewis

Offline Suppressed

  • Hero Member
  • *****
  • Posts: 12,921
  • Gender: Male
    • Avatar
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #11 on: June 19, 2017, 01:17:16 am »
To increase their strength for dragging them through onion dip. They're a little thicker, too.

Plus, greater surface area per chip.  Increases flavor per chip.
+++++++++
“In the outside world, I'm a simple geologist. But in here .... I am Falcor, Defender of the Alliance” --Randy Marsh

“The most effectual means of being secure against pain is to retire within ourselves, and to suffice for our own happiness.” -- Thomas Jefferson

“He's so dumb he thinks a Mexican border pays rent.” --Foghorn Leghorn

Offline Gefn

  • "And though she be but little she is fierce"-Shakespeare
  • Cat Mod
  • *****
  • Posts: 18,361
  • Gender: Female
  • Quos Deus Vult Perdere Prius Dementat
Re: Mathematicians deliver formal proof of Kepler Conjecture
« Reply #12 on: June 19, 2017, 01:13:05 pm »
Plus, greater surface area per chip.  Increases flavor per chip.

I wonder if it will work with chocolate chip cookies....
G-d bless America. G-d bless us all                                 

Adopt a puppy or kitty from your local shelter
Or an older dog or cat. They're true love❤️