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Tool in symplectic geometry
mathematics, specifically in symplectic geometry, the momentum map (or, by false etymology, moment map) is a tool associated with a Hamiltonian action of
Momentum_map
Branch of mathematics
quantities are the components of the momentum map J. If P is the phase space and G the symmetry group, the momentum map is a map J : P → g ∗ {\displaystyle \mathbf
Geometric_mechanics
Conserved physical quantity; rotational analogue of linear momentum
Angular momentum (sometimes called moment of momentum or rotational momentum) is the rotational analog of linear momentum. It is an important physical
Angular_momentum
Quantum mechanical operator related to rotational symmetry
mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a
Angular_momentum_operator
More recently, photoemission maps, also known as tomograms (also known as momentum maps or k {\displaystyle k} -maps), have been shown to reveal information
Photoemission orbital tomography
Photoemission_orbital_tomography
Left-wing campaigning organisation based in Great Britain
Momentum is a British left-wing political organisation which has been described as a grassroots movement supportive of the Labour Party; since January
Momentum_(organisation)
Tensor describing energy momentum density in spacetime
stress–energy–momentum tensor or the energy–momentum tensor, is a tensor field quantity that describes the density and flux of energy and momentum at each point
Stress–energy_tensor
2025 concert tour by NCT 127
Neo City – The Momentum (stylized as NCT 127 4th Tour "Neo City – The Momentum") was the fourth concert tour headlined by NCT 127, the Seoul-based sub-unit
Neo_City_–_The_Momentum
Counter-Strike game mode
progress through the map. Smooth, sweeping motions with the mouse are necessary to avoid slipping off the ramps and losing momentum. Maps are separated into
Counter-Strike_surfing
Canadian mathematician (1942–2010)
chaos in specific classical differential equations; his work on the momentum map, from abstract foundations to detailed applications, has had great impact
Jerrold_E._Marsden
Mapping from p forms to p-1 forms
identity is important in symplectic geometry and general relativity: see momentum map. The Cartan homotopy formula is named after Élie Cartan. Proof by direct
Interior_product
{O}}_{\mu },\omega )} is a Hamiltonian G {\displaystyle G} -action with momentum map given by the inclusion O μ ↪ g ∗ {\displaystyle {\mathcal {O}}_{\mu }\hookrightarrow
Coadjoint_representation
Ratio in relativity
reference map frame (used to define simultaneity) and proper time τ elapsed on the clocks of the traveling object. It equals the object's momentum p divided
Proper_velocity
Japanese mathematician
S2CID 14039767. Montaldi, James; Tokieda, Tadashi (2003). "Openness of momentum maps and persistence of extremal relative equilibria". Topology. 42 (4):
Tadashi_Tokieda
Mathematical model combining space and time
the four-momentum (also called 4-momentum) is also called the energy–momentum 4-vector. Using an uppercase P to represent the four-momentum and a lowercase
Spacetime
quantum angular momentum efficiently, given that map’s ease of organizing the (symmetric) representations of su(2) in Fock space. The map utilizes several
Jordan_map
Italian theoretical physicist
on general scalar manifolds: Symplectic covariance gaugings and the momentum map". Journal of Geometry and Physics. 23 (2): 111–189. arXiv:hep-th/9605032
Riccardo_D'Auria
Italian theoretical physicist
on general scalar manifolds: Symplectic covariance gaugings and the momentum map". Journal of Geometry and Physics. 23 (2): 111–189. arXiv:hep-th/9605032
Pietro_G._Frè
Space of vacuum states
on general scalar manifolds: Symplectic covariance gaugings and the momentum map". Journal of Geometry and Physics. 23 (2): 111–189. arXiv:hep-th/9605032
Moduli_(physics)
Global system of connected computer networks
Retrieved 12 June 2026. Roberts, Dr Lawrence G. (1971). "Arpanet Map, 1971". David Rumsey Map Collection. Retrieved 12 June 2026 – via archive.org. Hafner
Internet
Chaotic map from the torus into itself
In mathematics, Arnold's cat map is a chaotic map from the torus into itself, named after Vladimir Arnold, who demonstrated its effects in the 1960s using
Arnold's_cat_map
American mathematician
generalized toda lattice equations and their fixed point analysis via the momentum map Bloch, Anthony M.; Brockett, Roger W.; Rațiu, Tudor S. (1992-06-01)
Anthony_M._Bloch
Mathematical function, in linear algebra
In mathematics, and more specifically in linear algebra, a linear map, linear mapping, or linear operator is a particular kind of function between vector
Linear_map
off Van uses his shield to block some missile attacks while building up momentum. It unlocks a new finishing move for his sword, the Spiral Slash. After
List of Danball Senki episodes
List_of_Danball_Senki_episodes
Ballpark in Midland, Texas, US
Momentum Bank Ballpark (formerly First American Bank Ballpark, Citibank Ballpark, and Security Bank Ballpark) is a ballpark in Midland, Texas. It is primarily
Momentum_Bank_Ballpark
Algebraic operation on coordinate vectors
curvature tensor Torsion tensor Weyl tensor Physics Moment of inertia Angular momentum tensor Spin tensor Cauchy stress tensor stress–energy tensor Einstein tensor
Dot_product
Topological space that locally resembles Euclidean space
transition maps. A point of the manifold is therefore an equivalence class of points which are mapped to each other by transition maps. Charts map equivalence
Manifold
voice of Christ. Could there be any greater contribution to the future momentum of the moral forces of the world than could be made by quickening the force
History of China–United States relations
History_of_China–United_States_relations
Bass launches her reelection bid, saying, 'We cannot afford to stop our momentum'". Los Angeles Times. Retrieved July 25, 2024. McCrary, Eleanor (September
2026_United_States_elections
Scalar measure of the rotational inertia with respect to a fixed axis of rotation
to rotate around an axis, torque must be applied to change its angular momentum. The amount of torque needed to cause any given angular acceleration (the
Moment_of_inertia
American superhero media franchise films
Kroll, Justin (May 21, 2024). "'X-Men' Movie At Marvel Studios Gains Momentum As Michael Lesslie Comes On As Screenwriter". Deadline Hollywood. Archived
List of Marvel Cinematic Universe films
List_of_Marvel_Cinematic_Universe_films
Physics problem related to laws of motion and gravity
corresponding to zero angular momentum. In practice, the latter restriction is insignificant since initial conditions with zero angular momentum are rare, having Lebesgue
Three-body_problem
30 June 2026. Retrieved 1 July 2026. "Poll: Eisenkot continues to gain momentum at Bennett's expense". Arutz Sheva. 30 June 2026. Retrieved 29 June 2026
Opinion polling for the 2026 Israeli legislative election
Opinion_polling_for_the_2026_Israeli_legislative_election
Area-preserving chaotic map from a square with side 2π onto itself
_{n+1}-\theta _{n}} for the standard map, the equations reordered to emphasize similarity. In essence, the circle map forces the momentum to a constant. Ushiki's theorem
Standard_map
election measured the party's support at a maximum of 20%. Except for the Momentum Movement, Our Homeland Movement and Hungarian Two-Tailed Dog Party, the
2026 Hungarian parliamentary election
2026_Hungarian_parliamentary_election
American football league
his goal for the UFL as to "complement(...) the NFL and rid(e) off their momentum(,)" "not looking to compete with the NFL." Repole also stated his explicit
United Football League (2024–present)
United_Football_League_(2024–present)
Geometric construct
ISBN 978-1-107-02683-4 Bursztyn, Henrique; Crainic, Marius (2005). "Dirac structures, momentum maps, and quasi-Poisson manifolds". The Breadth of Symplectic and Poisson
Dirac_structure
Veto referendum on congressional districts
Trump's legislative agenda and lead to investigations. By August 2025, momentum began building behind the scenes. Early that month, The Kansas City Star
2026_Missouri_Proposition_A
Romanian-American mathematician (born 1950)
ISBN 0-387-98643-X. MR 1723696. Ortega, Juan-Pablo; Ratiu, Tudor (2004). Momentum maps and Hamiltonian reduction. Progress in Mathematics. Vol. 222. Boston
Tudor_Ratiu
Mathematical operation on vector spaces
space to which is associated a bilinear map V × W → V ⊗ W {\displaystyle V\times W\rightarrow V\otimes W} that maps a pair ( v , w ) {\displaystyle (v,w)}
Tensor_product
Country in South Asia
rate of growth. A large middle class and a communications boom gained momentum. However, challenges remain, including widening income gaps, gender inequality
India
Removal of unnecessary characters in code without changing its functionality
the API. In 2018, Terser has been forked from uglify-es and has gained momentum since; in 2020 it outstripped UglifyJS when measured in daily downloads
Minification_(programming)
Classical field theories on fiber bundles
ISBN 3-7643-3103-8 Gotay, M.J., Isenberg, J., Marsden, J.E., Montgomery R., Momentum Maps and Classical Fields Part I: Covariant Field Theory, November 2003
Covariant classical field theory
Covariant_classical_field_theory
American multinational technology company
2025). "Alphabet enters $3 trillion market cap club as Big Tech's AI momentum builds". Reuters. Retrieved September 17, 2025. "Bringing Google to Chicago's
Second election of Donald Trump
all four early voting contests while Haley's campaign struggled to gain momentum. On March 6, 2024, the day after winning only one primary out of fifteen
2024 United States presidential election
2024_United_States_presidential_election
2026 offensive in the Russo-Ukrainian war
times over the past few weeks. He observed that the initial Ukrainian momentum is gone compared to the progress made in February and early March. The
2026 Ukrainian counteroffensive
2026_Ukrainian_counteroffensive
as he cannot stop it he instead spins in a circle to redirect the balls momentum back at Asmodeus who is struck out by his own power. Naberius, impressed
List of Welcome to Demon School! Iruma-kun episodes
List_of_Welcome_to_Demon_School!_Iruma-kun_episodes
Formulation to quantize gauge field theories in physics
dual of g ) {\displaystyle {\mathfrak {g}})} a regular value of the momentum map Φ : M → g ∗ {\displaystyle \Phi :M\to {\mathfrak {g}}^{*}} . Let M 0
BRST_quantization
American actor and producer (born 1937)
fun." At the end of 2015, Freeman played a U.S. senator in the thriller Momentum. Reprising his role as Allan Trumbull, Freeman appeared in London Has Fallen
Morgan_Freeman
Property of a mathematical space
curvature tensor Torsion tensor Weyl tensor Physics Moment of inertia Angular momentum tensor Spin tensor Cauchy stress tensor stress–energy tensor Einstein tensor
Dimension
2026 video game
objective as long as possible to waste the enemy's momentum. Attackers can preserve their momentum by reviving their downed teammates, and gain small
Gallipoli_(video_game)
US college sports conference
Commissioner Tim Pernetti explained that the rebranding "prioritizes clarity, momentum, and the competitive advantage driving every part of our conference forward"
American_Conference_(NCAA)
Overview of Japanese army activity during WWII in the Pacific
Throughout late 1942 and early 1943, the Japanese offensive in New Guinea lost momentum during engagements with Australian and US forces at Milne Bay, along the
Imperial Japanese Army during the Pacific War
Imperial_Japanese_Army_during_the_Pacific_War
Matrix operation which flips a matrix over its diagonal
map with respect to bases of V and W, then the matrix AT describes the transpose of that linear map with respect to the dual bases. Every linear map to
Transpose
indiatimes.com. Retrieved 2025-04-27. "Bargarh 2G bio-refinery set to give momentum to green growth: Dharmendra Pradhan". 11 June 2023. "NOCL's Rs 18,000 cr
List of oil refineries in India
List_of_oil_refineries_in_India
Annual awards for British podcasting
Paula's Marathon Run Club – Paula Radcliffe and Chris 'Thommo' Thompson with Momentum Media and Broadcast That Peter Crouch Podcast – Peter Crouch, Chris Stark
British_Podcast_Awards
the desire to forcibly remove certain Native American nations gained momentum. However, some Native Americans either chose to or were allowed to remain
Racism against Native Americans in the United States
Racism_against_Native_Americans_in_the_United_States
American entrepreneur and venture capitalist (born 1967)
Inside Precision Medicine. Hale, Conor (10 October 2024). "Cytovale gains momentum with $100M for its sepsis screening test". www.fiercebiotech.com. Loizos
Peter_Thiel
Vector used in astronomy
angular momentum vector L with respect to the center of force. The particle's orbit is confined to the plane defined by the particle's initial momentum p (or
Laplace–Runge–Lenz_vector
international recognition of Palestine as a state could assist in building momentum towards a two-state solution for Israel and Palestine. Her comments provoke
2024_in_Australia
Full coverage of the policies of a US senator
Collins argued in a statement that the legislation "would continue the momentum towards cleaner transportation and help tackle harmful transportation emissions
Political positions of Susan Collins
Political_positions_of_Susan_Collins
Country in West Asia
original on 3 July 2022. Retrieved 27 September 2019. "UAE's economy growth momentum set to pick up". Khaleej Times. 27 December 2013. Archived from the original
United_Arab_Emirates
Country in Eastern Europe and North Asia
celebrated on 23 February. International Women's Day on 8 March, gained momentum in Russia during the Soviet era. The annual celebration of women has become
Russia
J. Gotay, James Isenberg, Jerrold E. Marsden, Richard Montgomery: "Momentum Maps and Classical Relativistic Fields. Part I: Covariant Field Theory"
De_Donder–Weyl_theory
President of the United States from 2009 to 2017
811–866. JSTOR 44865604. ——————— (January 13, 2017). "The Irreversible Momentum of Clean Energy". Science. 355 (6321): 126–129. Bibcode:2017Sci...355.
Barack_Obama
Mathematical transform that expresses a function of time as a function of frequency
"position space" to a function of 3-dimensional momentum (or a function of space and time to a function of 4-momentum). This idea makes the spatial Fourier transform
Fourier_transform
Structurally stable features in coupled oscillation dynamical systems.
standard map introduces a momentum pn which is allowed to dynamically vary, rather than being forced fixed, as it is in the circle map. The standard map is
Arnold_tongue
City in West Yorkshire, England
original on 23 July 2011. Retrieved 13 December 2009. "Building Momentum". Building Momentum. Archived from the original on 7 May 2010. Retrieved 26 March
Leeds
Stadium in Baltimore, Maryland
surface, Sportexe Momentum Turf, was installed for the 2003 season, which in turn was replaced by a new-generation Sportexe Momentum 51 in 2010. In December
M&T_Bank_Stadium
WWE premium live event
competitors and used a bridged ladder as a weapon. Vaquer countered Ripley's momentum with repeated attacks before climbing a ladder in an attempt to retrieve
Money_in_the_Bank_(2025)
Country in Eastern Europe and Central Asia
2022. Retrieved 7 January 2022. "Kazakhstan: Green economy reforms gain momentum". UNDP. Archived from the original on 27 November 2019. Retrieved 27 November
Kazakhstan
2024 film by George Miller
pushing for several months. According to Gross: "Moviegoing thrives on momentum and rhythm: one strong movie after another bringing fans to the multiplex
Furiosa:_A_Mad_Max_Saga
Paradigmatic model
{\displaystyle n} times the standard map). Assuming that kicks are randoms and uncorrelated in time, the spreading of the momentum distribution writes ⟨ ( Δ p
Kicked_rotator
Season of television series
pays no attention to what Amar has been saying. Sidharth tries to gain momentum in the fight and tries to talk to Amar about the issue, but Amar plays
Bigg Boss (Hindi TV series) season 5
Bigg_Boss_(Hindi_TV_series)_season_5
American television series
2024. Buchanan, Kyle (January 10, 2024). "Christopher Nolan Continues Momentum with Directors Guild Nomination". The New York Times. ISSN 1553-8095. Archived
The_Bear_(TV_series)
to the motion of a thunderbolt across the sky, which acquires power and momentum as it goes. This metaphor was adapted as the state motto of New Mexico
List_of_Latin_phrases_(full)
House passed congressional maps that would target five Democratic-held seats. The vote was 88–52, a party-line vote. The new map changes the territory of
2026 United States House of Representatives elections in Texas
2026_United_States_House_of_Representatives_elections_in_Texas
Continent
expansion. Meanwhile, in West Africa the Fula jihads, which had been gaining momentum throughout the 18th century, culminated in the establishment of the expansive
Africa
Rebellion in Jammu and Kashmir
to their base and allowed the rebels to take the credit. Rebels gained momentum after the fall of Bhimber. On 7 November, Rajouri was captured. The remaining
1947_Poonch_rebellion
data centers have also emerged as key issues in several states. To build momentum for the broader national elections, Democrats have recruited substantially
2026 United States state legislative elections
2026_United_States_state_legislative_elections
passed a new congressional district map proposed by Governor Ron DeSantis during a special legislative session. The map, which takes effect for the 2026
2026 United States House of Representatives elections in Florida
2026_United_States_House_of_Representatives_elections_in_Florida
Suspension bridge in Guizhou, China
Viral to Breaking Through, How the Huajiang Canyon Bridge Activates New Momentum for "Bridge-Tourism Integration"]. China Central Television (in Chinese)
Huajiang_Canyon_Bridge
weekend for Eric Swalwell". Politico. Retrieved April 2, 2026. "Toni Atkins' Momentum in Governors' Race: Memo to Interested Parties". Politico. August 1, 2025
2026 California gubernatorial election
2026_California_gubernatorial_election
Scottish pop singer
Bright Thing was the first of a series of three, with Somerville releasing Momentum in 2011 and Solent in 2012, with long-term collaborator John Winfield.
Jimmy_Somerville
American actor (born 1968)
John Ortiz is a co-artistic director. Rockwell’s career slowly gained momentum in the early 1990s, when he alternated between small-screen guest spots
Sam_Rockwell
Ongoing armed conflict in the Middle East
coordination center". The war sparked a diplomatic crisis and affected the momentum of regional relations. Negotiations have focused on the possibility of
Gaza_war
Country in Eurasia from 1922 to 1991
system but instead accelerated its unraveling. Nationalist movements gained momentum across the Soviet republics and the control of the Communist Party weakened
Soviet_Union
Australian rules football club
assistance of government and league funding. In November 2022, amidst ongoing momentum and public interest throughout the year, an in-principle agreement was
Tasmania_Football_Club
Array of numbers
define the operators that took over the role of variables like position, momentum and energy from classical physics. (This is sometimes referred to as matrix
Matrix_(mathematics)
2024 French-Italian Television series
gets us past his very soft and charmless introduction, his version gains momentum". In contrast, the online entertainment publication Collider highly recommends
The Count of Monte Cristo (2024 TV series)
The_Count_of_Monte_Cristo_(2024_TV_series)
Retrieved 19 August 2025. 国民民主党や参政党など新興政党の勢い止まらず！参院選後初の電話×ネット意識調査結果は？ [The momentum of new political parties such as the Democratic Party for the People and
Opinion polling for the 2026 Japanese general election
Opinion_polling_for_the_2026_Japanese_general_election
Physical quantities taking values at each point in space and time
a scalar field is a weather map of surface temperatures, described by assigning a number to each point on the map. A map of surface winds, assigning an
Field_(physics)
American college football rivalry
This Weekend". Ole Miss Athletics – Hotty Toddy. "No. 12 Ole Miss Seizes Momentum Early to Beat LSU". LSU. October 23, 2021. "LSU Tigers vs Ole Miss Rebels
Magnolia_Bowl
American live streamer (born 1982)
announced that he was writing a personal memoir called Violence. Speed. Momentum. about Dr Disrespect's origins. The book, fictitiously ghostwritten by
Dr_Disrespect
Influence that can change motion of an object
conservation of momentum (4-momentum in relativity and momentum of virtual particles in quantum electrodynamics). The conservation of momentum can be directly
Force
Military campaign in Russia's Kursk Oblast during Russia-Ukraine war
halted. However, others suggested the counterattack had yet to reach full momentum. Apti Alaudinov stated that Russia had regained control over the settlements
Kursk_campaign
Global climate phenomenon
distribution of clouds over the North Pacific that alter surface heat, momentum, and freshwater fluxes and thus induce sea surface temperature, salinity
El_Niño–Southern_Oscillation
Party Momentum–DK–MSZP–Párbeszéd–LMP Fidesz–KDNP Last election 11 seats 20 seats Seats won 18 13 Seat change 7 7 Popular vote 350,837 293,479 Map showing
2019 Budapest Assembly election
2019_Budapest_Assembly_election
Musical cue for an arriving or departing train
1990s, as the initial melodies gained popularity, there was increasing momentum to introduce them at more stations. However, cost-saving systems were adopted
Train_melody
2020 studio album by Taylor Swift
phone lit up with a voice memo from Taylor of a fully written song—the momentum never really stopped." Swift and Dessner "were pretty much in touch daily
Folklore_(Taylor_Swift_album)
travel, tourism, insurance
MOMENTUM MAP
MOMENTUM MAP
MOMENTUM MAP
MOMENTUM MAP
MOMENTUM MAP
MOMENTUM MAP
MOMENTUM MAP
MOMENTUM MAP
MOMENTUM MAP
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