Zorn's lemma is a proposition used in many areas of theoretical mathematics.
# Banach's extension theorem which is used to prove one of the most fundamental results in functional analysis, the Hahn–Banach theorem
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It occurs in the proofs of several theorems of crucial importance, for instance the Hahn–Banach theorem in functional analysis, the theorem that every vector space has a basis, Tychonoff's theorem in topology stating that every product of compact spaces is compact, and the theorems in abstract algebra that every nonzero ring has a maximal ideal and that every field has an algebraic closure.
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Trailing 27–14 after three quarters the Seahawks behind Zorn touchdowns to Steve Largent and Sam McCullum took a 31–30 lead before Grogan found tight end Don Hasselbeck (whose son Matt would quarterback the Seahawks over two decades later) for the game-winning touchdown of a 37–31 final.
The players that have committed to join the Big Red include Jessica Brown (of the Pittsburgh Elite), Kelly Murray, Victoria Pittens, Cassandra Poudrier (from Dawson College), Morgan Richardson (older sister of the late Daron Richardson), and Anna Zorn.
The existence of Aronszajn trees (=-Aronszajn trees) was proven by Nachman Aronszajn, and implies that the analogue of König's lemma does not hold for uncountable trees.
At the Gates of Paradise is an album by John Zorn released on Zorn's own label, Tzadik Records, in 2011 and featuring music inspired by William Blake and the Gnostic texts from the Nag Hammadi library.
Consequently, this lemma is sometimes referred to as the lemma that is not Burnside's.
The album was released on Zorn's own label, Tzadik Records, in 2005 and contains music that Zorn wrote and recorded for, Workingman's Death (2005), a documentary detailing hazardous employment undertaken in Ukraine, Indonesia, Nigeria, Pakistan, and China.
The album was released on Zorn's own label, Tzadik Records, in 2006 and contains music that Zorn wrote and recorded for, Notes on Marie Menken (2005), directed by Martina Kudlácek and a percussion score for Ray Bandar: A Life with Skulls directed by Beth Cataldo.
The resulting gap on the eastern side of the Rhine contained the Wisper valley, the towns of Lorch and Kaub, and villages of Lorchhausen, Sauerthal, Ransel, Wollmerschied, Welterod, Zorn, Strüth and Egenrod.
Masayoshi Nagata proved in the 1950s that for any commutative local ring A with maximal ideal m there always exists a smallest ring Ah containing A such that Ah is Henselian with respect to mAh.
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Completeness of a ring is not a necessary condition for the ring to have the Henselian property: Goro Azumaya in 1950 defined a commutative local ring satisfying the Henselian property for the maximal ideal m to be a Henselian ring.
Hotelling's lemma: an economic rule relating the supply of a good to the profit of the good's producer
After Washington Redskins head coach Joe Gibbs retired in January 2008, owner Daniel Snyder hired Zorn as the team's new offensive coordinator.
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Six games into the 2009 season, with a record of two wins and four losses, the Washington Redskins relieved Zorn of offensive play calling duties, assigning them to assistant coach Sherman Lewis following the Redskins' loss to the Kansas City Chiefs on October 18.
Zorn who was heavily influenced by the work, far ahead of its time, of the ornithologist Ferdinand Johann Adam von Pernau (1660-1731) aimed to proclam the divine power to his readers.
John Zorn's Cobra: Tokyo Operations '94 is a live performance of John Zorn's improvisational game piece, Cobra recorded in Tokyo in 1994 featuring Japanese musicians and instruments.
König's lemma (also known as König's infinity lemma), named after Dénes Kőnig
Nagelfar were founded in 1993 by guitarist Zorn and drummer Rykthius von Meilenwald, now known as Alexander von Meilenwald.
In mathematics, Oka's lemma, proved by Kiyoshi Oka, states that in a domain of holomorphy in Cn, the function –log d(z) is plurisubharmonic, where d is the distance to the boundary.
Although he frequently tours with Thompson, Zorn has also played with many other singers and groups including Arizona Smoke Revue, formed by older brother Bill Zorn, Show of Hands, the Phil Beer Band, Elaine Paige, Thomas Anders, Gerry Rafferty, Barbara Dickson and his band WAZ which currently features folk legend Steve Tilston.
In contrast to a version of Schur's lemma due to Dixmier, it does not require k to be uncountable.
In mathematics, especially in the area of algebra known as module theory, Schanuel's lemma, named after Stephen Schanuel, allows one to compare how far modules depart from being projective.
Henry Scheffé published a proof of the statement on convergence of probability densities in 1947.
The lemma is named after Ronald Shephard who gave a proof using the distance formula in his book Theory of Cost and Production Functions (Princeton University Press, 1953).
His CD of Zorn's Carny (John Zorn, Angelus Novus, Tzadik 7028) is also considered by critics to be the definitive recording of that work, for it seems to be the only one.
The 1994 tour marked the debut of a new look, smaller live band for Thompson with multi-instrumentalist Pete Zorn and the rhythm section of Dave Mattacks and Danny Thompson (no relation) providing the backing.
The label was established by the eclectic composer and saxophonist John Zorn in 1995; Zorn is the executive producer of all Tzadik releases.
The lords of Zorn belonged in the 16th and 17th centuries to the Imperial Knights in the Knight Canton Odenwald.
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Trischa Zorn (born 1964), American swimmer, the most successful Paralympian of all time
Buried in Zorn is the Arkansas Democratic politician Monroe Schwarzlose, who polled 31 percent of the vote as a protest against Bill Clinton in the 1980 gubernatorial primary.
Zorn's law is a maxim coined by Chicago Tribune columnist Eric Zorn as a Wikipedia prank.