* 1973 – Claudia Jordan, American model

* 1979 – Jordan De Jong, American baseball player

* 1988 – Jim Jordan, American actor ( b. 1896 )

* 1799 – Napoleonic Wars: The Battle of Mount Tabor – Napoleon drives Ottoman Turks across the River Jordan near Acre.

* 1935 – Vernon Jordan, American lawyer, businessman, and activist

* 1951 – Queen Noor of Jordan

* 2007 – Hayah bint Hamzah, Princess of Jordan

Alfonso Jordan () ( 1103 – 1148 ) was the Count of Tripoli from 1105 until 1109 and thereafter Count of Toulouse ( as Alfonso I ) until his death.

* 1952 – Hussein bin Talal is proclaimed King of Jordan.

* 1987 – The London Agreement is secretly signed between Israeli Foreign Affairs Minister Shimon Peres and King Hussein of Jordan.

* 1944 – Charles Jordan, American magician ( b. 1888 )

* 1992 – Alexis Jordan, American singer and actress

Crossing the Jordan ( 3: 1 – 17 )

* After crossing the Jordan River, the Israelites celebrated the Passover ( 5: 10 – 12 ) just as they did immediately before the Exodus ( Ex.

Eisenhower applied the doctrine in 1957 – 58 by dispensing economic aid to shore up the Kingdom of Jordan, and by encouraging Syria's neighbors to consider military operations against it.

* 1993 – Jordan Obita, English footballer

* 1969 – United States Secretary of State William P. Rogers proposes his plan for a ceasefire in the War of Attrition ; Egypt and Jordan accept it over the objections of the PLO, which leads to civil war in Jordan in September 1970.

* 1792 – Sylvester Jordan, German politician and lawyer ( d. 1861 )

* 1955 – Albania, Austria, Bulgaria, Cambodia, Finland, Hungary, Ireland, Italy, Jordan, Laos, Libya, Nepal, Portugal, Romania, Spain and Sri Lanka join the United Nations.

* 2005 – Timothy Jordan II, American musician ( The All American Rejects, Jonezetta ) ( b. 1981 )

* 1936 – Barbara Jordan, American politician ( d. 1996 )

* 1999 – Crown Prince Abdullah becomes the King of Jordan on the death of his father, King Hussein.

The Jordan – Hölder theorem and the Schreier refinement theorem describe the relationships amongst all composition series of a single module.

If the group is finite, then eventually one arrives at uniquely determined simple groups by the Jordan – Hölder theorem.

This is expressed by the Jordan – Hölder theorem which states that any two composition series of a given group have the same length and the same factors, up to permutation and isomorphism.

* Jordan – Hölder theorem in group theory

He is famous for many things including: Hölder's inequality, the Jordan – Hölder theorem, the theorem stating that every linearly ordered group that satisfies an Archimedean property is isomorphic to a subgroup of the additive group of real numbers, the classification of simple groups of order up to 200, and Hölder's theorem which implies that the Gamma function satisfies no algebraic differential equation.

However, the Jordan – Hölder theorem ( named after Camille Jordan and Otto Hölder ) states that any two composition series of a given group are equivalent.

The Jordan – Hölder theorem is also true for transfinite ascending composition series, but not transfinite descending composition series.

# REDIRECT Composition series # Uniqueness: Jordan – Hölder theorem

# REDIRECT Composition series # Uniqueness: Jordan – Hölder theorem

* The Jordan – Hölder theorem, about decompositions of finite groups.

The theorem generalizes the Jordan – Hölder decomposition for finite groups ( in which the primes are the finite simple groups ), to all finite transformation semigroups ( for which the primes are again the finite simple groups plus all subsemigroups of the " flip-flop " ( see above ).

The Krohn – Rhodes theorem for semigroups / monoids is an analogue of the Jordan – Hölder theorem for finite groups ( for semigroups / monoids rather than groups ).

It provides an elegant proof of the Jordan – Hölder theorem.

Ironically, by today's standard, Gauss's own attempt is not acceptable, owing to implicit use of the Jordan curve theorem.

in light of the Jordan curve theorem and the generalized Stokes ' theorem, F < sub > γ </ sub >( z ) is independent of the particular choice of path γ, and thus F ( z ) is a well-defined function on U having F ( z < sub > 0 </ sub >)

In this context, Jordan developed his theory of measure, Cantor developed what is now called naive set theory, and Baire proved the Baire category theorem.

One proof of the impossibility of finding a planar embedding of K < sub > 3, 3 </ sub > uses a case analysis involving the Jordan curve theorem, in which one examines different possibilities for the locations of the vertices with respect to the 4-cycles of the graph and shows that they are all inconsistent with a planar embedding.

From the nineteenth century there is not a separate curve theory, but rather the appearance of curves as the one-dimensional aspect of projective geometry, and differential geometry ; and later topology, when for example the Jordan curve theorem was understood to lie quite deep, as well as being required in complex analysis.

The Jordan curve theorem states that such curves divide the plane into an " interior " and an " exterior ".

* Jordan curve theorem in topology

* Jordan – Schönflies theorem in geometric topology

Issai Schur showed that any finitely generated periodic group that was a subgroup of the group of invertible n x n complex matrices was finite ; he used this theorem to prove the Jordan – Schur theorem.

Some examples are the Hahn – Banach theorem, König's lemma, Brouwer fixed point theorem, Gödel's completeness theorem and Jordan curve theorem.

Illustration of the Jordan curve theorem.