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Connection
Connection (principal bundle)
Connection (affine bundle)
Gott
Tambacounda Airport

Bing

Connection

Connection may refer to:

Technology

Database connection

Telecommunication circuit, the complete path between two terminals

Virtual connection, also known as a virtual circuit

Mathematics

Connectedness

Connected sum

Connection (algebraic framework)

Connection (mathematics), a way of specifying a derivative of a geometrical object along a vector field on a manifold

Connection (affine bundle)
Connection (composite bundle)
Connection (fibred manifold)

Connection (affine bundle)

Connection (composite bundle)

Connection (fibred manifold)

Connection (principal bundle), gives the derivative of a section of a principal bundle

Connection (vector bundle), differentiates a section of a vector bundle along a vector field

Cartan connection, achieved by identifying tangent spaces with the tangent space of a certain model Klein geometry

Ehresmann connection, gives a manner for differentiating sections of a general fibre bundle

Electrical connection, allows the flow of electrons

Galois connection, a type of correspondence between two partially ordered sets

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Connection

Connection (principal bundle)

In mathematics, a connection is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. A principal G-connection on a principal G-bundle P over a smooth manifold M is a particular type of connection which is compatible with the action of the group G.

A principal connection can be viewed as a special case of the notion of an Ehresmann connection, and is sometimes called a principal Ehresmann connection. It gives rise to (Ehresmann) connections on any fiber bundle associated to P via the associated bundle construction. In particular, on any associated vector bundle the principal connection induces a covariant derivative, an operator that can differentiate sections of that bundle along tangent directions in the base manifold. Principal connections generalize to arbitrary principal bundles the concept of a linear connection on the frame bundle of a smooth manifold.

Formal definition

Let π:P→M be a smooth principal G-bundle over a smooth manifold M. Then a principal G-connection on P is a differential 1-form on P with values in the Lie algebra $\mathfrak g$ of G which is G-equivariant and reproduces the Lie algebra generators of the fundamental vector fields on P.

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Connection_(principal_bundle)

Connection (affine bundle)

Let $Y\to X,$ be an affine bundle modelled over a vector bundle $\overline Y\to X$ . A connection $\Gamma$ on $Y\to X$ is called the affine connection if it as a section $\Gamma:Y\to J^1Y$ of the jet bundle $J^1Y\to Y$ of $Y$ is an affine bundle morphism over $X$ . In particular, this is the case of an affine connection on the tangent bundle $TX$ of a smooth manifold $X$ .

With respect to affine bundle coordinates $(x^\lambda,y^i)$ on $Y$ , an affine connection $\Gamma$ on $Y\to X$ is given by the tangent-valued connection form

An affine bundle is a fiber bundle with a general affine structure group $GA(m,\mathbb R)$ of affine transformations of its typical fiber $V$ of dimension $m$ . Therefore, an affine connection is associated to a principal connection. It always exists.

For any affine connection $\Gamma:Y\to J^1Y$ , the corresponding linear derivative $\overline\Gamma:\overline Y\to J^1\overline Y$ of an affine morphism $\Gamma$ defines a unique linear connection on a vector bundle $\overline Y\to X$ . With respect to linear bundle coordinates $(x^\lambda,\overline y^i)$ on $\overline Y$ , this connection reads

Since every vector bundle is an affine bundle, any linear connection on a vector bundle also is an affine connection.

If $Y\to X$ is a vector bundle, both an affine connection $\Gamma$ and an associated linear connection $\overline\Gamma$ are connections on the same vector bundle $Y\to X$ , and their difference is a basic soldering form on $\sigma= \sigma_\lambda^i(x^\nu) dx^\lambda\otimes\partial_i$ . Thus, every affine connection on a vector bundle $Y\to X$ is a sum of a linear connection and a basic soldering form on $Y\to X$ .

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Connection_(affine_bundle)

Gott

Gott may refer to:

People

Benjamin Gott (1762–1840), British textile manufacturer

Daniel Gott (1794–1864), U.S. Representative from New York

J. Richard Gott (born 1947), U.S. astrophysicist

Jim Gott (born 1959), U.S. baseball player

John William Gott (1866–1922), the last person in Britain to be sent to prison for blasphemy

Karel Gott (born 1939), Czech singer

Larry Gott (born 1957), British musician

Richard Gott (born 1938), British journalist and historian

Samuel Gott (1614–1671), MP for Winchelsea

Trevor Gott, baseball player

William Gott (1897–1942), known as "Strafer", British General of the Second World War in the Middle East

Other uses

Gott, Shetland, a village in the Shetland Islands

Gottschalks, whose stock symbol on the Pink Sheets was GOTT but now is GOTTQ

Tambacounda Airport

Tambacounda Airport (IATA: TUD, ICAO: GOTT) is an airport serving Tambacounda, the capital of the Tambacounda Region in Senegal.

References

↑ Airport information for GOTT from DAFIF (effective October 2006)

↑ Airport information for TUD at Great Circle Mapper. Source: DAFIF (effective October 2006).

Google Maps - Tambacounda

External links

Current weather for GOTT at NOAA/NWS

Accident history for TUD at Aviation Safety Network

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Tambacounda_Airport

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PLAYLIST TIME:

Einziger Gott

by Baff

Einziger Gott

by: Baff

Er ward geboren einst in einem großen Palast
Viele Diener und auch Mägde dienten ihm ohne Rast
Die Kissen warn aus Seide, das Bett aus reinem Gold
Nur ein Laut aus seinem Munde und die Dienerschaft rollt
Man nannte ihn den Kaiser, er war mächtig, er war groß
Nur ein Schnipsen mit dem Finger und seine Streitmacht zog los
Daß Menschen vor ihn stürzten, das sah er wirklich gern
Besonders gern ließ er sich nämlich als ein Gott verehrn!
Viel zu viele Menschen wollten Götter sein
Doch nur ein einziger Gott wollte Mensch sein
Viel zu viele Menschen wollten größer sein
Doch nur ein einziger Gott wurde ganz klein.
In Judäa war er König, hatte Reichtum, hatte Macht
An alles, was dem Volk gefiel, hatte er gedacht
Dieser Mann, Herodes, konnte, denn Juda wollt' es sehn
Durch Tötung des Jakobus auch aber Leichen gehn
Als er dann eines Tages dort in Caeserea stand
Da wirkte er so göttlich, hob göttlich seine Hand
Die Menge beugt' sich betend, schaute betend zu ihm auf
Da blieb plötzlich sein Herz stehn und daran ging er drauf.
Er ward geboren einst in einem kleinen Stall
Ochs und Esel mit dabei, der Dreck lag wirklich überall
Statt Pampers gab es nur ein reines, weißes Leinentuch
Vergeblich hat der Vater ein Zimmer für die Nacht gesucht
Die ersten, die ihn sahen, waren Arbeiter vom Feld
Es ist nicht easy, wenn so einer auf die Knie fällt
Sie verehrten ihn, man glaubt es kaum, als König dieser Welt
Er ist der reichste König, reich an Liebe, arm an Geld
Verehre ihn, komm mach doch mit, als König und als Held
Er ist der reichste König, reich an Liebe für die Welt.

Connection

Technology

Mathematics

Connection (principal bundle)

Formal definition

Connection (affine bundle)

Gott

People

Other uses

See also

Tambacounda Airport

References

External links

Podcasts:

Einziger Gott

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