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Construction in differential topology
differential topology, the jet bundle is a certain construction that makes a new smooth fiber bundle out of a given smooth fiber bundle. It makes it possible
Jet_bundle
differential equation on a fiber bundle Q → R {\displaystyle Q\to \mathbb {R} } is represented by a closed subbundle of a jet bundle J r Q {\displaystyle J^{r}Q}
Non-autonomous system (mathematics)
Non-autonomous_system_(mathematics)
Manifold upon which it is possible to perform calculus
on the manifold: the k-jet bundle is the bundle of their k-jets. These and other examples of the general idea of jet bundles play a significant role
Differentiable_manifold
Operation in differential geometry
varies over M, the jet spaces J p k ( M , E ) {\displaystyle J_{p}^{k}(M,E)} form a vector bundle over M, the k-th-order jet bundle of E, denoted by Jk(E)
Jet_(mathematics)
Operation on fibered manifolds
where J1Y is the jet manifold of Y. With the above manifold π there is the following canonical short exact sequence of vector bundles over Y: where TY
Connection_(fibred_manifold)
Topics referred to by the same term
function Jet (particle physics), a narrow cone of hadrons and other particles produced by the hadronization of a quark or gluon Jet bundle, a fiber bundle of
Jet
the second order jet bundle. Since (TM,πTM,M) is a vector bundle in its own right, its tangent bundle has the secondary vector bundle structure (TTM,(πTM)*
Double_tangent_bundle
Formalization in mathematical topos theory
fibre bundles on manifolds: namely bundles of jets (see also jet bundle). The second insight is that the operation of assigning a bundle of jets to a smooth
Synthetic differential geometry
Synthetic_differential_geometry
Fiber bundle Principal bundle Frame bundle Hopf bundle Associated bundle Vector bundle Tangent bundle Cotangent bundle Line bundle Jet bundle Sheaf (mathematics)
List of differential geometry topics
List_of_differential_geometry_topics
Representation theory of the symmetries of manifolds
is a derivative intertwiner taking sections of a jet bundle of order p into sections of a jet bundle of order p + 1. "Representations of the group of
Representation theory of diffeomorphism groups
Representation_theory_of_diffeomorphism_groups
classical Higgs fields. Given the composite bundle Y → Σ → X {\displaystyle Y\to \Sigma \to X} (1), consider the jet manifolds J 1 Σ {\displaystyle J^{1}\Sigma
Connection_(composite_bundle)
bundle modelled over a vector bundle Y → X. A connection Γ on Y → X is called the affine connection if it as a section Γ : Y → J1Y of the jet bundle J1Y
Connection_(affine_bundle)
French mathematician (1905–1979)
differential geometry of smooth fiber bundles, notably the introduction of the concepts of Ehresmann connection and of jet bundles, and for his seminar on category
Charles_Ehresmann
Array of numbers describing a metric connection
object in the jet bundle. More precisely, the Christoffel symbols can be considered as functions on the jet bundle of the frame bundle of M, independent
Christoffel_symbols
Continuous surjection satisfying a local triviality condition
In mathematics, and particularly topology, a fiber bundle (Commonwealth English: fibre bundle) is a space that is locally a product space, but globally
Fiber_bundle
Tangent spaces of a manifold
A tangent bundle is the collection of all of the tangent spaces for all points on a manifold, structured in a way that it forms a new manifold itself.
Tangent_bundle
Concept in mathematics
ISBN 978-1-4419-9981-8. OCLC 808682771. Saunders, David J. (1989). The Geometry of Jet Bundles. London Mathematical Society Lecture Note Series. Vol. 142. Cambridge
Tensor_bundle
Differential variety
:E\to X} . Then the notion of jet of submanifolds boils down to the standard notion of jet of sections, and the jet bundle J k ( π ) {\displaystyle J^{k}(\pi
Diffiety
section of the cotangent bundle of RK given by df: Rk → T*Rk. Similarly, derivatives of order up to m are sections of the jet bundle Jm(Rk) = Rk × W, where
Jet_group
Physical theory with fields invariant under the action of local "gauge" Lie groups
modules) of the gauge transformations can be classified as sections of a jet bundle satisfying certain properties. There are representations that transform
Gauge_theory
Mathematical formulation of Lagrangian mechanics
algebra of exterior forms on jet manifolds of sections of a fiber bundle. Lagrangians and Euler–Lagrange operators on a fiber bundle are defined as elements
Variational_bicomplex
Classical field theories on fiber bundles
bundles, and their dynamics is phrased in the context of a finite-dimensional space of fields. Nowadays, it is well known that[citation needed] jet bundles
Covariant classical field theory
Covariant_classical_field_theory
Pair in mathematics
operator δL. Given bundle coordinates xλ, yi on a fiber bundle Y and the adapted coordinates xλ, yi, yiΛ, (Λ = (λ1, ...,λk), |Λ| = k ≤ r) on jet manifolds JrY
Lagrangian_system
Bundle of linear subspaces of the tangent bundle
geometry, a contact bundle is a particular type of fiber bundle constructed from a smooth manifold. Like how the tangent bundle is the manifold that
Contact_bundle
geometry, a field in mathematics, a natural bundle is any fiber bundle associated to the higher order frame bundle F r ( M ) {\displaystyle F^{r}(M)} , for
Natural_bundle
2002 video game
and was later bundled with Xbox consoles along with Sega GT 2002. Jet Set Radio Future became backwards compatible on Xbox 360 in 2005. Jet Set Radio Future
Jet_Set_Radio_Future
Assignment of a tensor continuously varying across a region of space
manifold. Bitensor – Tensorial object depending on two points in a manifold Jet bundle – Construction in differential topology Ricci calculus – Tensor index
Tensor_field
Differential geometry construct on fiber bundles
section of the jet bundle J 1 E → E {\displaystyle J^{1}E\rightarrow E} . Equivalently, let Φ be the projection onto the vertical bundle V along H (so
Ehresmann_connection
Typically linear operator defined in terms of differentiation of functions
operator if it factors through the jet bundle Jk(E). In other words, there exists a linear mapping of vector bundles i P : J k ( E ) → F {\displaystyle
Differential_operator
Type of differential equation
boundary condition Robin boundary condition Cauchy problem Various topics Jet bundle Laplace transform applied to differential equations List of dynamical
Partial_differential_equation
Quantity in general relativity
the 1980s have allowed pseudotensors to be understood as sections of jet bundles, thus providing a firm theoretical foundation for the concept of pseudotensors
Stress–energy–momentum pseudotensor
Stress–energy–momentum_pseudotensor
dp_{I}^{a}-p_{Ij}^{p}dx^{j}{}_{1\leq |I|\leq k-1}} on the k {\displaystyle k} -jet bundle. This idea allows one to analyze the properties of partial differential
Differential_ideal
Type of fiber bundle
In mathematics, an affine bundle is a fiber bundle whose typical fiber, fibers, trivialization morphisms and transition functions are affine. Let π ¯ :
Affine_bundle
Mathematics concept
vertical bundle and the horizontal bundle are vector bundles associated to a smooth fiber bundle. More precisely, given a smooth fiber bundle π : E → B
Vertical and horizontal bundles
Vertical_and_horizontal_bundles
Low-cost airline of the United States
aimed to distinguish JetBlue Vacations as a premier option for travelers seeking tailored vacation packages which include bundled flights, hotels, cruises
JetBlue
Formulation of classical mechanics using momenta
a fiber bundle E over time R, with the fiber Et being the position space at time t ∈ R. The Lagrangian is thus a function on the jet bundle J over E;
Hamiltonian_mechanics
of jets of sections of fiber bundles which are utilized in covariant classical field theory and non-autonomous mechanics. A first order jet bundle J 1
Relativistic system (mathematics)
Relativistic_system_(mathematics)
Irregular heartbeat due to abnormal conduction from the atrioventricular nerve
6 weeks old, the disease may also be referred to as His bundle tachycardia or congenital JET. In normal individuals, electrical activity in the heart
Junctional ectopic tachycardia
Junctional_ectopic_tachycardia
Differential equations involving stochastic processes
Schwartz morphism, see also the related 2-jet interpretation of Ito SDEs on manifolds based on the jet-bundle. This interpretation is helpful when trying
Stochastic differential equation
Stochastic_differential_equation
Application of Lagrangian mechanics to field theories
understood to be coordinates on a fiber bundle, and the derivatives of the field are understood to be sections of the jet bundle. The above can be generalized for
Lagrangian_(field_theory)
Class of quantum field theory models
signature and the partial derivative ∂Σ is given by a section of the jet bundle of T×M and V is the potential. In the coordinate notation, with the coordinates
Non-linear_sigma_model
Field theory of a point particle confined to move on a fixed manifold
language, ∂ μ ϕ {\displaystyle \partial _{\mu }\phi } is a section of the jet bundle of M × Φ {\displaystyle M\times \Phi } . Taking g i j = δ i j {\displaystyle
Sigma_model
Type of physical quantity
the 1980s have allowed pseudotensors to be understood as sections of jet bundles. Two quite different mathematical objects are called a pseudotensor in
Pseudotensor
Mathematical result in differential geometry
transform in a rather complicated way under coordinate transforms (see jet bundle); however, the highest order terms transform like tensors so we get well
Atiyah–Singer_index_theorem
the first-order jet bundle of sections of E . {\displaystyle E.} This may be regarded as a bundle over M {\displaystyle M} or a bundle over the total space
Grothendieck_connection
multisymplectic geometry or polysymplectic geometry and the geometry of jet bundles. A generalization of the Poisson brackets to the De Donder–Weyl theory
De_Donder–Weyl_theory
Statement relating differentiable symmetries to conserved quantities
depends on up to the nth derivative, and can also be formulated using jet bundles). A continuous transformation of the fields φ {\displaystyle \varphi
Noether's_theorem
Internal groupoid in the category of smooth manifolds
jet groupoid, obtained by considering the k-jets of the local bisections of G {\displaystyle G} (with smooth structure inherited from the jet bundle of
Lie_groupoid
Infinitesimal version of Lie groupoid
In mathematics, a Lie algebroid is a vector bundle A → M {\displaystyle A\rightarrow M} together with a Lie bracket on its space of sections Γ ( A ) {\displaystyle
Lie_algebroid
Geometrical Methods of Mathematical Physics, Cambridge University Press, pp. 47–49, ISBN 978-0-521-29887-2 Jet bundle Tetrad formalism Ricci calculus v t e
Holonomic_basis
Branch of mathematics
on R n {\displaystyle \mathbb {R} ^{n}} (for example the tangent bundle, jet bundles, the Whitney extension theorem, and so forth). The distinction is
Differential_topology
Geometric algorithms for signal processing
Stochastic differential equations on manifolds based on the jet bundle, the so-called 2-jet interpretation of Ito stochastic differential equations on
Projection_filters
Symmetries in a gravitational theory
Sardanashvily, G., Advanced Differential Geometry for Theoreticians. Fiber bundles, jet manifolds and Lagrangian theory, Lambert Academic Publishing: Saarbrücken
General covariant transformations
General_covariant_transformations
Concept in mathematics
these various approaches involve the (finite- or infinite-dimensional) jet bundles of Γ, which are asked to be a Lie groupoid. In particular, a Lie pseudogroup
Pseudogroup
Subbundle of the tangent bundle
structures are locally diffeomorphic to the Cartan distribution of the jet bundles J k ( R , R ) {\displaystyle J^{k}(\mathbb {R} ,\mathbb {R} )} . A singular
Distribution (differential geometry)
Distribution_(differential_geometry)
Group of monochrome laser printers
LaserJet 5000 series. The 5L Extra, release in July 1996, was a standard 5L combined with a software bundle "Twenty Years of Innovation: HP LaserJet and
HP_LaserJet_5
1996 aviation accident in Florida
ValuJet Flight 592 was a regularly scheduled flight from Miami to Atlanta in the United States. On May 11, 1996, the McDonnell Douglas DC-9 operating
ValuJet_Flight_592
Ultra-low-cost airline of the United States
legacy carriers. Any passenger who purchases a bundle has zero change or cancellation fees. Economy Bundle includes a personal item, carry-on bag, standard
Frontier_Airlines
Mathematician
as 2-jets. This interpretation is related to Schwartz morphism and was developed in Armstrong and Brigo (2018) via the structure of jet bundles, with
Damiano_Brigo
Type of commercial fission reactor
7×7 to 8×8 fuel bundle with longer and thinner fuel rods that fit within the same external footprint as the previous 7×7 fuel bundle, reduced fuel duty
GE_BWR
American rapper (born 1981)
also hinted at the album may be up for streaming. The bundle was available for pre-order on the Jet Life website, which also confirmed that it will not
Currensy
E_{6}(\tau )} . Quasimodular forms can be interpreted as sections of certain jet bundles. Ramanujan observed that the derivative of any quasimodular form is another
Almost holomorphic modular form
Almost_holomorphic_modular_form
algebraic geometry, given a line bundle L on a smooth variety X, the bundle of n-th order principal parts of L is a vector bundle of rank ( n + dim ( X ) n )
Bundle_of_principal_parts
Structure group sub-bundle on a tangent frame bundle
G} , is a principal G {\displaystyle G} -subbundle of the tangent frame bundle F M {\displaystyle {\text{F}}M} (or GL ( M ) {\displaystyle \operatorname
G-structure_on_a_manifold
Concept in differential geometry
Purkyně V Brně, ISBN 80-210-0165-8 Saunders, D.J. (1989), The geometry of jet bundles, Cambridge University Press, ISBN 0-521-36948-7 Giachetta, G.; Mangiarotti
Fibered_manifold
to date by this script. Mitchell, Richard (October 11, 2011). "New Wii bundle includes New Super Mario Bros, loses Gamecube support". Joystiq. Retrieved
List_of_GameCube_games
Apple Music". Apple Music. "Zappa.com > AAAFNRAA > AAAFRNAAAAM FZ Birthday Bundle (20011)". Archived from the original on June 6, 2012. Retrieved April 2
Frank_Zappa_discography
Small ducts in which fiber optic cables can be installed
cabling, bundles of small microducts may be installed in larger protective duct (e.g., PVC conduit). This can be done by jetting for example. Bundles of microducts
Microducts
In conformal geometry, the tractor bundle is a particular vector bundle constructed on a conformal manifold whose fibres form an effective representation
Tractor_bundle
American animated sitcom
Transitor (in "Elroy's TV Show"), Uniblab (in "Uniblab", "G.I. Jetson", "Little Bundle of Trouble"), Dr. Radius (in "Test Pilot"), Delivery Boy (in "G.I. Jetson")
The_Jetsons
Small carved objects made by Zuni people
fetish may carry an offering of a smaller animal or a prayer bundle (or medicine bundle) of carved arrowheads with small beads of heishe. It may be adorned
Zuni_fetishes
Integrated development environment
developed by JetBrains (formerly known as IntelliJ) and is available as an Apache 2 Licensed community edition with proprietary license for some bundled plugins
IntelliJ_IDEA
2008 single by Keane
running through the wild and being shot at, with scenes of bombardments by jet aircraft. Despite being released as the first physical release taken from
The_Lovers_Are_Losing
Line of gamepads developed by Sony
a secondary peripheral for the first PlayStation console. The console's bundle was updated to include DualShock, and phase out the original PlayStation
DualShock
1984 platform video game
Your Sinclair bundled with Retro Gamer. Jet Set Willy came with a form of copy protection: a card with 180 coloured codes on it was bundled with the cassette
Jet_Set_Willy
Relates the geometric vector bundles to algebraic projective modules
projective over C∞(M). In other words, every vector bundle is a direct summand of some trivial bundle: M × R k {\displaystyle M\times \mathbb {R} ^{k}}
Serre–Swan_theorem
Video game system
function. Later on, the demo key was replaced in branded bundled with some of the Net Jet's marquee titles, such as Transformers Battle Universe or Bubble
Net_Jet
games 0–9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Applications Bundle compilations Unlicensed games See also References This is a sortable list
List_of_Game_Boy_games
35 mm bridge camera
Canon Epoca (also known as the Photura in North America and the Autoboy Jet in Japan) is a 35 mm bridge camera by Canon Inc. Introduced in June 1990
Canon_Epoca
Navajo creation spirit
Navajo people by taking old skin from her body and using her mountain soil bundle (a bag made of four pieces of buckskin, brought by her father from the underworld)
Asdzą́ą́_Nádleehé
Japanese multimedia project
Communication. An OVA episode is bundled with the limited edition of the game titled Kandagawa Jet Girls DX Jet Pack (神田川JET GIRLS DXジェットパック). On February
Kandagawa_Jet_Girls
American rapper (born 1964)
Jet. April 23, 2007. Retrieved December 26, 2011. "Rev. Ike and Rev. Run honored." Jet. July 12, 2004. Retrieved December 26, 2011. "Thank you." Jet.
Joseph_Simmons
Games for the Sony PlayStation / PS1 / PSone
Unreleased Jet Moto •Jet RiderPAL SingleTrac, Locomotive Games SCEANA, SCEEPAL, SCEIJP August 7, 1997 February 1997 October 31, 1996 Jet Moto 2 •Jet Rider
List of PlayStation (console) games (A–L)
List_of_PlayStation_(console)_games_(A–L)
American airline
was founded by David Neeleman, who previously co-founded Morris Air, WestJet, JetBlue, and Azul Linhas Aereas. Breeze's operations launched on May 27, 2021
Breeze_Airways
Berlinger) wife Rosemary (Jackie Joseph) is expecting a baby soon. Ken is a bundle of nerves. Back at base, Carter tells Ken he'll let him know if Rosemary
List of Gomer Pyle – USMC episodes
List_of_Gomer_Pyle_–_USMC_episodes
Technique to install cables in ducts
Cable jetting is a technique to install cables in ducts. It is commonly used to install cables with optical fibers in underground polyethylene ducts and
Cable_jetting
an honorary member. Mike meets Tom and becomes a clumsy, accident-prone bundle of nerves. Tom becomes the recipient of a series of messy but funny indignities
List of My Three Sons episodes
List_of_My_Three_Sons_episodes
Games 2007-10-12EU Rollercoaster World •Simple 2000 Series Vol. 33: The Jet Coaster – Yūenchi Otsukurou!JP Bimboosoft D3 PublisherJP, Midas Interactive
List of PlayStation 2 games (L–Z)
List_of_PlayStation_2_games_(L–Z)
checks in with a/v specialist Steve Hayes as he pulls "futureproof" wiring bundles through the walls and back to a central switching box. Finally, custom
List of This Old House episodes (seasons 11–20)
List_of_This_Old_House_episodes_(seasons_11–20)
2025 video game
Edition Doom-Themed Nvidia GeForce RTX 5080 ROG Astral GPU With Exclusive Bundle for $1,999". IGN India. Retrieved May 13, 2025. Cripe, Michael (June 8,
Doom:_The_Dark_Ages
Abnormally fast heart rhythm
(WPW) is a relatively common abnormality with an accessory pathway, the bundle of Kent crossing the AV valvular ring. In orthodromic AVRT, atrial impulses
Supraventricular_tachycardia
Branch of geometry
structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying a condition called 'complete non-integrability'. Equivalently
Contact_geometry
U.S. government documents declassified in 2026
Release Date cleared for release Document bundle Video bundle Notes Release 01 May 8, 2026 1.2 GB 1.3 GB Historical records, modern mission reports, range
United_States_UFO_files
Integrated development environment software for software development
features at a later date directly through the NetBeans IDE. The NetBeans IDE Bundle for Web & Java EE provides complete tools for all the latest Java EE 6 standards
NetBeans
Australian video game developer
early Auran Jet Graphics Engine of Trainz V1.x, Trainz Virtual Railway and the Ultimate Trainz Collection; the upgraded Jet technology (JET 2) of Trainz
N3V_Games
November 1, 2011 Unreleased November 4, 2011 Nerf N-Strike Double Blast Bundle EA Salt Lake Electronic Arts 2010-10-26NA Unreleased October 26, 2010 Unreleased
List_of_Wii_games
2011 Sega video game compilation
exclusively for the PlayStation 2 outside of Japan. All games released in the bundle are available for purchase separately on the Xbox Live Arcade, PlayStation
Dreamcast_Collection
E F G H I J K L M N O P Q R S T U V W X Y Z References Atlas Bundle – see fiber bundle. Basic element – A basic element x {\displaystyle x} with respect
Glossary of differential geometry and topology
Glossary_of_differential_geometry_and_topology
Ghostlight 20100420100423April 23, 2010 (EU) Dancing with the Stars: We Dance! Jet Black Games Activision 20081020081012October 12, 2008 (NA) Daniel X The Ultimate
List of Nintendo DS games (D–I)
List_of_Nintendo_DS_games_(D–I)
2023 video game
Interactive Entertainment distributed a special edition PlayStation 5 console bundle themed after the game on September 1, 2023. It is a variant of the standard
Marvel's_Spider-Man_2
JET BUNDLE
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JET BUNDLE