Problemi irrisolti in matematica: differenze tra le versioni

Versione delle 00:01, 22 nov 2005

Versione delle 00:09, 22 nov 2005

Riga 1:

Questa pagina contiene alcuni tra i più significativi '''[[Problemi irrisolti]] in [[matematica]]'''.

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<div>[[Unsolved problems in ]]: '''''Note:''' Use the '''unsolved''' tag:'' '''<nowiki>{{unsolved|F|X}}</nowiki>''', where "'''F'''" is any field in the sciences: and "'''X'''" is a concise "explanation" with or without links. The appropriate '''category tag''' will automatically be added.''</div>

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I sette [[Problemi per il millennio]]promossi dal [[Istituto matematico Clay]] sono:

This article describes some currently '''[[List of unsolved problems|unsolved problems]] in [[mathematics]]'''.

* [[Classi di complessità P e NP|P contro NP]]

The seven [[Millennium Prize Problem]]s set by the [[Clay Mathematics Institute]] are:

* [[Congettura di Hodge]]

* [[Congettura di Poincaré]]

* [[Ipotesi di Riemann]]

* [[Teoria di Yang-Mills]]

* [[Equazione di Navier-Stokes]]

* [[Congettura di Birch e Swinnerton-Dyer ]]

Altri famosi problemi irrisolti sono:

* [[Complexity classes P and NP|P versus NP]]

* [[Hodge conjecture|The Hodge Conjecture]]

* [[Poincaré conjecture|The Poincaré Conjecture]]

* [[Riemann hypothesis|The Riemann Hypothesis]]

* [[Yang-Mills existence and mass gap|Yang-Mills Existence and Mass Gap]]

* [[Navier-Stokes equations|Navier-Stokes Existence and Smoothness]]

* The [[Birch and Swinnerton-Dyer conjecture|Birch and Swinnerton-Dyer Conjecture]]

* [[Congettura dei numeri primi gemelli]]

Other still-unsolved problems:

* [[Twin prime conjecture]]

* Number of [[Magic square]]s

* [[Gilbreath'sCongettura conjecturedi Gilbreath]]

* [[Goldbach'sCongettura conjecturedi Goldbach]]

* [[Goldbach'sCongettura weakdebole conjecturedi Goldbach]]

* [[Euler brick|Perfect cuboid]]

* [[Problemi di Hilbert's|Sedicesimo sixteenthproblema problemdi Hilbert]]

* [[Generalized star height problem]]

* [[CollatzCongettura conjecturedi Collatz]]

* [[Schanuel'sCongettura conjecturedi Schanuel]]

* infinitely many [[Mersenne prime]]s ([[Lenstra-Pomerance-Wagstaff conjecture]])

* infinitely many [[regular prime]]s

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Problems solved recently:

* [[Kepler'sCongettura conjecturedi Keplero]] ''[[1998]]''

* [[Fermat'sUltimo lastteorema theoremdi Fermat]] ''[[1994]]''

* [[FourTeorma colordei theoremquattro colori]] ''[[1977]]''

'''SeeVedi alsoanche:''' [[Hilbert'sProblemi do problems|Hilbert's 23 problems]], [[Timeline of mathematics]]

==Quotes==

Riga 53 ⟶ 48:

&mdash; [[Piet Hein (Denmark)|Piet Hein]] ([[1905]]&ndash;[[1996]])

=== External linksCollegamenti esterni===

* Winkelmann, Jörg, "''[http://www.math.unibas.ch/~winkel/problem.html Some Mathematical Problems]''". Feb 3, 2004.

* [http://www.geocities.com/ednitou/ List of links to unsolved problems in mathematics, prizes and research.]

=== BooksLibri discussingrelativi unsolvedai problemsproblemi irrisolti===

* {{Book reference | Author=Fan Chung; Ron Graham | Title=Erdos on Graphs : His Legacy of Unsolved Problems | Publisher=AK Peters | Year=1999 | ID=ISBN 156881111X}}