** Schwarz – Ahlfors – Pick theorem, an extension of the Schwarz lemma for hyperbolic manifolds

** Schwarz lemma

In mathematics, the Schwarz lemma, named after Hermann Amandus Schwarz, is a result in complex analysis about holomorphic functions from the open unit disk to itself.

The Schwarz lemma is an example of such a rigidity theorem.

# REDIRECT Schwarz lemma

In mathematics, the Schwarz – Ahlfors – Pick theorem is an extension of the Schwarz lemma for hyperbolic geometry, such as the Poincaré half-plane model.

The Schwarz – Pick lemma states that every holomorphic function on the unit disk U, or the upper half-plane H, with distances defined by the Poincaré metric, is a contraction mapping.

# REDIRECT Schwarz lemma

# REDIRECT Schwarz lemma

Supersymmetry first arose in 1971 in the context of an early version of string theory by Pierre Ramond, John H. Schwarz and André Neveu, but the mathematical structure of supersymmetry has subsequently been applied successfully to other areas of physics ; firstly by Wess, Zumino, and Abdus Salam and their fellow researchers to particle physics, and later to a variety of fields, ranging from quantum mechanics to statistical physics.

In mathematical analysis, Clairaut's theorem or Schwarz's theorem, named after Alexis Clairaut and Hermann Schwarz, states that if

The general result for an inner product space was obtained by Schwarz in the year 1885.

After hearing about the rigid airship constructed by David Schwarz and witnessing its trial flight at the Tempelhof Airfield near Berlin on 3 November 1897, he proceeded to buy the patent rights from the widow of the prematurely deceased Schwarz, in order to allow Carl Berg to supply aluminium.

The Brinsley Schwarz connection brought about a collaboration with Nick Lowe starting with this album, and in 1976 they formed the group Rockpile, with Billy Bremner and Terry Williams.

However, things start to change between them when she learns the truth from Schwarz about her father's involvement in the Devil Gundam.

According to Schwarz, in theory this seems like a great plan, but with football season over for a large majority of the high schools, ( football is the number one sport of concussions ) experts are finding that athletes have learned a couple of ways to get around the standards such as denying any concussion symptoms they are having, learning how to answer questions to hide any signs of concussions, or not saying anything about the possible concussion to the athletic trainer or physician working the game.

A documentary about Tab's life called " Tab Hunter Confidential " is being developed by producers Allan Glaser, Neil Koenigsberg, and Jeffrey Schwarz of Automat Pictures.

The ability to produce and issue complete uniforms came about due both to the centralization of the Reichszeugmeisterei ( RZM ; national quartermaster office ) under NSDAP Treasurer Franz Xaver Schwarz, and to Himmler's expansion and reorganization of the fast-growing SS ( from 280 members to 52, 000 between 1929 and 1932 ) into several brigade sized Brigaden throughout Germany, each comprising three to five regiment-sized Standarten.

This category contains articles about albums released by Brinsley Schwarz.

It is similar in size, and the age of the crater is older than 700 Ma ( probably about 710-720 Ma ) based on argon-argon dating of impact melt rocks found near the southeastern shore of Lake Haapaselkä .< ref name =" Buchner "> Buchner, E., Schmieder, M., Schwarz, W. H., Trieloff, M., Moilanen, J., Öhman, T., Stehlik, H .: A Proterozoic < sup > 40 </ sup > Ar /< sup > 39 </ sup > Ar age for the Suvasvesi South structure ( Finland ).

* new ( 2009 ) documentary film about the New Lost City Ramblers, with Mike Seeger, John Cohen, Tom Paley, Tracy Schwarz and many others

Minnesota Nice is also the title of a 2003, 28-minute documentary by Jeffrey Schwarz about the Coen brothers ' movie Fargo, a movie that displays some of the stereotypical behavior.

" Leonard Schwarz of Palo Alto Online described the film as " arch and knowing about the ways of Hollywood ," including " producers who want to keep their cars more than their kids when they get divorced.

A History Professor at MacDonald's university, Don Schwarz called MacDonald's claims about Jewish history " unsupportable.

Only after an intense direct campaign by a dedicated " Nintendo SWAT team ", including telemarketing and shopping mall demonstrations, as well as a risk-free proposition to retailers, did Nintendo secure enough retailer support ( about 500 retailers, including FAO Schwarz ) to conduct a market test in New York City.

" Schwarz finished writing about the crowd, " the crowd are enthusiastically loud though their fanatical support is thankfully quite unintrusive to the enjoyment of the record.

* Sidney Schwarz, founder of Panim, center for teaching about Judaism and public policy

In 1996 S. Piunikhin, D. Salamon and M. Schwarz summarized the results about the relation between Floer homology and quantum cohomology and formulated as the following.

By about 1970, the construction sets were being sold in the United States at upscale toy retailers such as FAO Schwarz.

Various generalizations of the Cauchy – Schwarz inequality exist in the context of operator theory, e. g. for operator-convex functions, and operator algebras, where the domain and / or range of φ are replaced by a C *- algebra or W *- algebra.

He also returned to the study of functions in the 1940s, continuing his work on the extension problems formulated a decade earlier, and answering a question of Schwarz in a 1948 paper On Ideals of Differentiable Functions.

The cases where the solutions are algebraic functions were found by Hermann Schwarz ( Schwarz's list ).

He is best known for Zorn's lemma, a powerful tool in set theory that is applicable to a wide range of mathematical constructs such as vector spaces, ordered sets, etc.

In the mathematical theory of queues, Little's result, theorem, lemma, law or formula is a theorem by John Little which states:

The lemma is widely employed in mathematical finance, and its best known application is in the derivation of the Black – Scholes equation for option values.

Ibn al-Shatir ( b. 1304 ) developed a geocentric system that employed mathematical techniques, such as the Tusi-couple and Urdi lemma, that were almost identical to those Nicolaus Copernicus later employed in his heliocentric system, implying that its mathematical model was influenced by the Maragha school.

Burnside's lemma, sometimes also called Burnside's counting theorem, the Cauchy-Frobenius lemma or the orbit-counting theorem, is a result in group theory which is often useful in taking account of symmetry when counting mathematical objects.

This lemma is equivalent to the well-ordering theorem and the axiom of choice and implies major results in other mathematical areas like the Hahn – Banach theorem and Tychonoff's theorem, the existence of a Hamel basis for every vector space, and the existence of an algebraic closure for every field.

In mathematical logic, the diagonal lemma or fixed point theorem establishes the existence of self-referential sentences in certain formal theories of the natural numbers -- specifically those theories that are strong enough to represent all computable functions.

Sard's theorem, also known as Sard's lemma or the Morse – Sard theorem, is a result in mathematical analysis which asserts that the image of the set of critical points of a smooth function f from one Euclidean space or manifold to another has Lebesgue measure 0 – they form a null set.

The mathematical literature sometimes refers to the fundamental lemma of a field.

In mathematical logic, the Mostowski collapse lemma is a statement in set theory named for Andrzej Mostowski.

* Zig-zag lemma, a mathematical lemma in homological algebra