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Property of topological submanifolds
mathematics, local flatness is a smoothness condition that can be imposed on topological submanifolds. In the category of topological manifolds, locally flat submanifolds
Local_flatness
Branch of mathematics studying (smooth) functions of manifolds
Local flatness is a property of a submanifold in a topological manifold of larger dimension. In the category of topological manifolds, locally flat submanifolds
Geometric_topology
Cosmological fine-tuning problem
and the horizon problem, the flatness problem is one of the three primary motivations for inflationary theory. Flatness in cosmology is a curved spacetime
Flatness_problem
Geometric condition for workpieces and tools
manufacturing and mechanical engineering, flatness is an important geometric condition for workpieces and tools. Flatness is the condition of a surface or derived
Flatness_(manufacturing)
Form of public or social housing in the United Kingdom
A council house, corporation house or council flat is a form of British public housing built by local authorities. A council estate is a building complex
Council_house
In algebra, the local criterion for flatness gives conditions one can check to show flatness of a module. Given a commutative ring A, an ideal I and an
Local_criterion_for_flatness
Algebraic structure in ring theory
Flatness was introduced by Jean-Pierre Serre (1956) in his paper Géometrie Algébrique et Géométrie Analytique. A left module M over a ring R is flat if
Flat_module
Branch of mathematics
topics in geometric topology are orientability, handle decompositions, local flatness, crumpling and the planar and higher-dimensional Schönflies theorem
Topology
Archaic conception of Earth's shape
all fiery, ride the air because of their flatness". Xenophanes (c. 500 BC) thought that the Earth was flat, with its upper side touching the air, and
Flat_Earth
Scheme theory concept
faithfully flat morphisms is a flat or faithfully flat morphism, respectively. Flatness and faithful flatness is preserved by base change: If f is flat or faithfully
Flat_morphism
Theorem in differential geometry
called conformal flatness, although some authors refer to it instead as local conformal flatness; for those authors, conformal flatness refers to a more
Weyl–Schouten_theorem
Type of geometry in mathematics
field of differential geometry, Ricci-flatness is a condition on the curvature of a Riemannian manifold. Ricci-flat manifolds are a special kind of Einstein
Ricci-flat_manifold
Geographical area of the United States, used in telephone service
Local Access And Transport Area (LATA) is a term defined in United States telecommunications regulation. A LATA is a geographical area of the United States
Local Access and Transport Area
Local_Access_and_Transport_Area
differential of Ω X ∗ ( E ) {\displaystyle \Omega _{X}^{*}(E)} , and the flatness condition is equivalent to the property d 2 = 0 {\displaystyle d^{2}=0}
Flat_vector_bundle
Elevated area of land with a flat top and sides, usually much wider than buttes
traditional name, tepui, from the local Pomón language, and the term table mountains have been used to describe local flat-topped mountains. Similar landforms
Mesa
1935 novel by John Steinbeck
end of World War I. Tortilla Flat was made into a film in 1942. Steinbeck later returned to some of the panhandling locals of Monterey (though not the
Tortilla_Flat
Children's book written by Jeff Brown
eventually becomes tired of his flatness, and Arthur restores Stanley's proper shape with a bicycle pump. Books by Jeff Brown: Flat Stanley (1964) Stanley and
Flat_Stanley
Anti-scientific belief
, basketball players Kyrie Irving and Wilson Chandler) advocating for flatness. In the Information Age, the availability of communications technology
Modern_flat_Earth_beliefs
Election in New Zealand
members were elected to local boards in the 2013 Auckland local board elections, an election held as part of the 2013 New Zealand local elections. This table
2013 Auckland local board elections
2013_Auckland_local_board_elections
Representation of an algebra as a free module
called the miracle flatness theorem, states that a local ring R that is a finitely generated module over a regular Noetherian local ring S is Cohen–Macaulay
Hironaka_decomposition
Function whose all derivatives vanish at a point
In real analysis, a real function is defined to be flat at a point in its domain if all its derivatives or partial derivatives exist at that point and
Flat_function
YouTube horror web series by Kris Straub
Local 58 is a horror web series created by American cartoonist Kris Straub. The series is a spin-off of Straub's Candle Cove creepypasta. Currently hosted
Local_58
The 2025 Auckland local board elections (Māori: Nga Pōtitanga te Poari ā-Rohe o Tāmaki Makaurau 2025) were triennial elections held from 9 September until
2025 Auckland local board elections
2025_Auckland_local_board_elections
Directional planes
plane passing by a given point is said to be vertical if it contains the local gravity direction at that point. Conversely, a line or plane is said to
Vertical_and_horizontal
plan divides the country into a large number of local calling areas. Calling a destination in another local calling area, requires the dialing of the trunk
List of dialling codes in New Zealand
List_of_dialling_codes_in_New_Zealand
Form of British domestic housing
this period was often constructed as a local mixture of two-storey terraced houses, and single-storey Tyneside flats. The paired doors are the only external
Tyneside_flat
Type of tax
eliminate deductions is fundamental to the flat tax design; deductions dramatically affect the effective "flatness" in the tax rate. Perhaps the single biggest
Flat_tax
Lowest in the administration pyramid
Local government is a generic term for the lowest tiers of governance or public administration within a particular sovereign state. A municipal council
Local_government
Point without a tangent space
varieties defined over the reals, this notion generalizes the notion of local non-flatness. A point of an algebraic variety that is not singular is said to be
Singular point of an algebraic variety
Singular_point_of_an_algebraic_variety
Irish jockey (born 1970)
racing circuit in Ireland, he began riding out for Richard Lister, a local flat trainer in County Wexford, at the age of 16. This was followed by a move
Mick_Fitzgerald
sale in the local multiple listing service (MLS) à la carte without requiring the seller to use all services. The primary objective of a flat-fee listing
Flat-fee_MLS
Local and global geometry of the universe
its local geometry and cosmic topology. Local geometry is defined primarily by its curvature, General relativity explains how spatial curvature (local geometry)
Shape_of_the_universe
A list of notable flat horse races which take place annually in Turkey, including all conditions races which currently hold Group status in the European
List of Turkish flat horse races
List_of_Turkish_flat_horse_races
Network that allows computers to share resources and communicate with each other
protocols and the essence of the end-to-end principle. The NPL network, a local area network at the National Physical Laboratory (United Kingdom), pioneered
Computer_network
Online cat sitting brand
Cat in a Flat is an online cat-sitting brand that connects cat owners with local cat sitters. Cat owners are charged a fixed booking fee of £1.50 / 1
Cat_in_a_Flat
The following is a list of local nature reserves in Wales. Local Nature Reserves in Wales (Public Freedom of Information Act request to the Countryside
List of local nature reserves in Wales
List_of_local_nature_reserves_in_Wales
Underwater phenomenon due to Snell's Law
sensitive to any irregularities in the flatness of the surface (such as ripples or waves), which will cause local distortions or complete disintegration
Snell's_window
National park in California, United States
After the incident, Savage rallied other miners and gained the support of local officials to pursue a war against the Natives. He was appointed United States
Yosemite_National_Park
means that the embedding of A {\displaystyle A} must also be smooth. Local flatness Lee, Kotik K. (1992), Lectures on Dynamical Systems, Structural Stability
Neat_submanifold
Deputy Prime Minister of the United Kingdom from 2024 to 2025
the United Kingdom and Secretary of State for Housing, Communities and Local Government from July 2024 until her resignation in September 2025. Ideologically
Angela_Rayner
In painting, local color is the color of an object when seen under flat white light with no adjustment for form shadow or colors of light or secondary
Local_color_(visual_art)
1973 horror western film directed by Fredric Hobbs
Godmonster of Indian Flats is a 1973 American exploitation Western horror film written and directed by Fredric Hobbs, and starring Christopher Brooks
Godmonster_of_Indian_Flats
Vast void adjacent to the Local Group
the Milky Way sits in a large, flat array of galaxies called the Local Sheet, which bounds the Local Void. The Local Void extends approximately 60 megaparsecs
Local_Void
city, or just outside the flat-rate local calling area for the city, would find that many numbers which would have been local from the city itself became
FXO_and_FXS
Galaxy containing the Solar System
(613 kpc). The Milky Way has several satellite galaxies and is part of the Local Group of galaxies, forming part of the Virgo Supercluster which is itself
Milky_Way
Human settlement in Canada
Flat Bay Flat Bay (Mi'kmaq: Ewipkek) is a local service district and designated place in the Canadian province of Newfoundland and Labrador. It is a Canadian
Flat_Bay
This is a list of notable flat horse races held annually in Japan. With the exception of the Tokyo Daishōten, all graded races, including every race currently
List of Japanese flat horse races
List_of_Japanese_flat_horse_races
Pricing method
American telecommunications companies commonly offer a flat rate to residential customers for local telephone calls. However, a regular rate or Message Rate
Flat_rate
Series of connected rail vehicles
the rest of the world, knuckle couplers are the most popular, with a few local variations persisting (such as Wilson couplers in the former Soviet Union)
Train
Convex shape with one stable and one unstable position of equilibrium
World Expo 2010 in Shanghai, China. If analyzed quantitatively in terms of flatness and thickness, the discovered mono-monostatic bodies are the most sphere-like
Gömböc
Salt flat in Bolivia
exceptionally rich in lithium. The large area, clear skies, and exceptional flatness of the surface make the Salar ideal for calibrating the altimeters of Earth
Salar_de_Uyuni
British TV sitcom
Stath Lets Flats was a British sitcom created by Jamie Demetriou that aired on Channel 4 from 27 June 2018 to 30 November 2021. The series stars Demetriou
Stath_Lets_Flats
Valley in Monterey County, California, US
cauliflower, wine grapes, artichokes, and celery. Due to the intensity of local agriculture, the area has earned itself the nickname "America's Salad Bowl
Salinas_Valley
Japanese art of paper folding
is universal and its origin remains unknown. The goal is to transform a flat square sheet of paper into a finished sculpture through folding and sculpting
Origami
Local board of Howick in Auckland, New Zealand
population, a new subdivision for Flat Bush, electing three additional board members, was introduced at the 2025 local elections. In turn, the number of
Howick_Local_Board
Web mapping service
those features would be transferred to the Google Local Guides program, although users that are not Local Guides can still contribute. Google Maps's satellite
Google_Maps
Salt pan in northwestern Utah
two local businessmen tested the suitability of the salt for driving by taking a Pierce-Arrow onto its surface. A railway line across the Flats was completed
Bonneville_Salt_Flats
Provincial park in British Columbia
number of interconnected lakes referred to as the "Davis Lake Chain" by locals. The park is located southwest of the municipalities of 100 Mile House and
Flat_Lake_Provincial_Park
2025 political controversy in the United Kingdom
Deputy Prime Minister and Secretary of State for Housing, Communities and Local Government, has maintained multiple residences in her official roles. These
Angela_Rayner_tax_scandal
theory of descent (faithfully flat descent). The term flat here comes from flat modules. There are several slightly different flat topologies, the most common
Flat_topology
Type of commutative ring in mathematics
called miracle flatness or Hironaka's criterion. Let R be a local ring which is finitely generated as a module over some regular local ring A contained
Cohen–Macaulay_ring
Reservoir in Nevada County, California
Scotts Flat Reservoir is an artificial lake in the Tahoe National Forest of Nevada County, California, 6.5 miles (10.5 km) east of Nevada City. The lake
Scotts_Flat_Reservoir
Community in Georgia, U.S.
Archaeological Methods course students. Glover's class worked with the local Flat Rock community and the Greater Atlanta Historical Society (GAAS) to clear
Flat_Rock,_Georgia
Gyomaendrőd and Hortobágy National Park. The name Nagylapos means "great flatness" and arises from the town's location on the Great Hungarian Plain. The
Nagylapos
Tidal island in Normandy, France
grazing sheep. Agneau de pré-salé ('salt-meadow / salt-marsh lamb'), a local specialty that may be found on the menus of restaurants that depend on income
Mont-Saint-Michel
County of England
and Maidenhead. The west is rural, and its largest town is Newbury. For local government purposes Berkshire comprises six unitary authority areas: Bracknell
Berkshire
Painting by Gustav Klimt
saw the Byzantine mosaics in the Church of San Vitale. For Klimt, the flatness of the mosaics and their lack of perspective and depth only enhanced their
The_Kiss_(Klimt)
English media advisor (born 1988)
with Symonds at her flat in southeast London. In July 2019, after Johnson became Prime Minister, she moved with him to the flat above 11 Downing Street
Carrie_Johnson
2005 New Zealand biographical film directed by Roger Donaldson
New Zealand to positive reviews, and quickly became the highest grossing local film at the New Zealand box-office taking in NZ$7,043,000; and taking in
The_World's_Fastest_Indian
American theoretical physicist and cosmologist
attended a lecture by Robert Dicke about the flatness problem of the universe. Dicke explained how the flatness problem showed that something significant
Alan_Guth
Public housing system in Ireland
Dublin, the most notable and visible example of local authority accommodation were the Ballymun Flats near Dublin Airport. Estates of houses have been
Local_Authority_Accommodation
Facet of general relativity
(such as asymptotic flatness) are met. The gauge dependence of pseudotensors also prevents any gauge-independent definition of the local energy density, as
Mass_in_general_relativity
part of the hospital premises regulation by the Care Quality Commission. Local pharmaceutical committees were established in every area in 1948. Each is
Pharmacy in the United Kingdom
Pharmacy_in_the_United_Kingdom
Political party in Scotland
April 2020. Carrell, Severin (11 February 2009). "Alex Salmond drops flat-rate local income tax plan". The Guardian. ISSN 0261-3077. Archived from the original
Scottish_National_Party
Variety of peach
transport, this variety must have been local produce (while the kernel might still be recognizably different in a dried flat peach, the shape as described by
Flat_peach
Metropolitan area in England
containing most of the continuous urban area of London. It contains 33 local government districts: the 32 London boroughs, which form a ceremonial county
Greater_London
Town in Greater London, England
II listed building dating from about 1760. The Richmond Local History Society explores the local history of Richmond, Kew, Petersham and Ham. It organises
Richmond,_London
Loam hills in Spokane County, Washington
refer to the surrounding hills as a whole. The name soon also spread to local businesses. Despite the resort and many other businesses eventually closing
Holiday_Hills_(Washington)
American promoter of the flat Earth conspiracy theory
publisher, StarPlay Productions, in Colorado. He later worked at other local software companies training people in proprietary software until 2014. He
Mark Sargent (flat Earth proponent)
Mark_Sargent_(flat_Earth_proponent)
Type of pub
pubs, which includes many flat-roofed establishments. Many flat-roofed pubs were built in the 20th century as part of local planned communities, such
Flat-roofed_pub
Memory data structure in Intel processors
and GS, remain active and are often used by operating systems for thread-local storage or process-specific data (e.g., the Thread Environment Block in
Global_Descriptor_Table
Mountain in northern England
east. Marilyns are rare in the North Pennines because of the relative flatness of the moors, but Mickle Fell is one such hill: it is separated from its
Mickle_Fell
Tax on residential properties in Ireland
household charge was introduced by the Local Government (Household Charge) Act 2011, for collection in 2012. It was a flat-rate charge of €100 on each principal
Local_property_tax_(Ireland)
City in North Yorkshire, England
town of Haxby. The current district's local council, City of York Council, is responsible for providing all local services and facilities throughout this
York
Flats complex in central Dublin, Ireland
factory that makes clothing labels. Local residents collected an archive of materials relating to the history of the flats, including personal photos. They
Oliver_Bond_flats
Human settlement in England
to large and expanding Jewish and Muslim communities. Saltwell has many local amenities such as Saltwell Park in the south of the district along with
Saltwell,_Tyne_and_Wear
Country in Oceania
has enhanced ties with both Asia and the Pacific. Papua is derived from a local term of uncertain origin, that may have referred to at least part of the
Papua_New_Guinea
Neighborhood of Delhi in India
Government Health Scheme having 2000 govt. Flats & 24 Private Flats opposite N P Co. Edu. School. Having two local markets, one taxi stand, three bus stands
Laxmibai_Nagar
1998 film by Guy Ritchie
After the incompetent thieves unwittingly sell them to Nick "the Greek", a local fence, Barry threatens them into retrieving the guns. Meanwhile, Eddie returns
Lock, Stock and Two Smoking Barrels
Lock,_Stock_and_Two_Smoking_Barrels
Suburb of City of Shellharbour, New South Wales, Australia
the 2021 census. Oak Flats is one of the 324 suburbs that sits within the Wollongong Statistical District, which covers the local authority areas of Wollongong
Oak_Flats,_New_South_Wales
Hand tool for scraping a surface
grinding do not achieve the long-distance flatness that scraping can, as they act on the entire surface rather than local high or low spots.[citation needed]
Hand_scraper
are based in areas of close geographical proximity are often known as a local derby, or simply just a derby (UK: /ˈdɑːbi/ DAH-bee, US: /ˈdɜːrbi/ DUR-bee);
List_of_sports_rivalries
Vehicle tire resistant to deflation
A run-flat tire or run-flat tyre (RFT) is a pneumatic vehicle tire designed to resist the effects of deflation when punctured, allowing the vehicle to
Run-flat_tire
Former apartment buildings in Dublin, Ireland
the Ballymun flats, where they finally have success. Local Authority Accommodation Pruitt–Igoe Cabrini–Green Divis Tower Red Road Flats Broadwater Farm
Ballymun_Flats
Standards defined by VESA for mounting flat panel displays to stands or wall mounts
wide areas touching the bracket may deviate at most ±1 mm from complete flatness. The screen manufacturer should warrant that filling the provided holes
VESA_mount
Town in Saskatchewan, Canada
side and east of the town, adding a small valley to the otherwise flat local flat prairie. Severe flooding in the Souris River basin region during the
Carnduff
Local board of Rodney in Auckland, New Zealand
subdivisions: Northern Rodney, Southern Kaipara, Warkworth, Kumeū, and Dairy Flat. Rodney Local Board Area covers 2,275.00 km2 (878.38 sq mi) and had an estimated
Rodney_Local_Board
1986 New Zealand film
Wal is assisted on his farm, Footrot Flats, by his nature-loving neighbour Cooch Windgrass (Peter Hayden), local boy Rangi Jones (Rawiri Paratene) and
Footrot_Flats:_The_Dog's_Tale
users on a singular device. This page is not about LAN Play. Data about local multiplayer functionality in games is highly underreported, so all datasets
List of local multiplayer video games by system
List_of_local_multiplayer_video_games_by_system
City in Hampshire, England
Following the Roman invasion of Britain in AD 43 and the conquering of the local Britons in AD 70 the fortress settlement of Clausentum was established.
Southampton
LOCAL FLATNESS
LOCAL FLATNESS
Girl/Female
Muslim
Loyal
Girl/Female
Indian
Loyal
Boy/Male
Irish
Loyal.
Boy/Male
Arabic
Loyal
Boy/Male
American, Australian, British, English, French
Faithful; True
Girl/Female
French
Loyal.
Boy/Male
Irish
Loyal.
Boy/Male
English American
Loyal.
Boy/Male
American, British, English, Italian
Loyal
Boy/Male
Irish Welsh
Loyal.
Boy/Male
British, English
Loyal
Boy/Male
Irish Welsh
Loyal.
Boy/Male
Indian
Loyal
Boy/Male
American, British, English
Loyal
Boy/Male
British, English
Loyal
Boy/Male
Irish American Welsh
Loyal.
Boy/Male
Italian Greek
Loyal.
Boy/Male
British, English
Loyal
Boy/Male
English American French
Faithful; unswerving.
Girl/Female
Arabic, Muslim
Loyal
LOCAL FLATNESS
LOCAL FLATNESS
Girl/Female
Hindu
Famous
Boy/Male
Arabic, Muslim
Having Bluish Black Eyes; Bin Hatim had this Name; He was a Narrator of Hadith
Boy/Male
Bengali, Hindu, Indian, Tamil
Lord Shiva
Girl/Female
Indian, Malayalam, Sanskrit, Tamil
Unity; One Alone
Surname or Lastname
English
English : variant of Shapley.Thomas Shapleigh (1765–1800), born in Kittery MA, was librarian of Harvard College in the 1790s.
Girl/Female
Muslim
Creator of Joy
Female
Italian
Feminine form of Italian Silvano, SILVANA means "from the forest."Â
Male
Yiddish
Variant spelling of Yiddish Isser, ISER means "God prevails" or "contender; soldier of God."
Male
English
Man of Peace
Girl/Female
Hindu
A bunch of gems
LOCAL FLATNESS
LOCAL FLATNESS
LOCAL FLATNESS
LOCAL FLATNESS
LOCAL FLATNESS
a.
Alt. of Loral
n.
Vocal expression; articulation; speech.
a.
Faithful; loyal; true.
n.
A local name of the burbot.
a.
Belonging to,or concerning, a focus; as, a focal point.
a.
Consisting of, or characterized by, voice, or tone produced in the larynx, which may be modified, either by resonance, as in the case of the vowels, or by obstructive action, as in certain consonants, such as v, l, etc., or by both, as in the nasals m, n, ng; sonant; intonated; voiced. See Voice, and Vowel, also Guide to Pronunciation, // 199-202.
a.
Uttered or modulated by the voice; oral; as, vocal melody; vocal prayer.
a.
Loyal.
n.
A man who has a right to vote in certain elections.
a.
Confined to no zone or region; not local.
a.
Of or pertaining to a vowel; having the character of a vowel; vowel.
v. t.
To divide according to gepgraphical sections or local interests.
a.
Of or pertaining to a particular place, or to a definite region or portion of space; restricted to one place or region; as, a local custom.
n.
A district or local division, as of a province.
n.
A principle, practice, form of speech, or other thing of local use, or limited to a locality.
n.
A train which receives and deposits passengers or freight along the line of the road; a train for the accommodation of a certain district.
n.
On newspaper cant, an item of news relating to the place where the paper is published.
n.
A local European measure of length. See Canna.
n.
A vocal sound; specifically, a purely vocal element of speech, unmodified except by resonance; a vowel or a diphthong; a tonic element; a tonic; -- distinguished from a subvocal, and a nonvocal.
a.
Faithful; loyal.