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 is a property of a submanifold in a topological manifold of larger dimension. In the category of topological manifolds, locally flat submanifolds...

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...

manufacturing and mechanical engineering, flatness is an important geometric condition for workpieces and tools. Flatness is the condition of a surface or derived...

and the horizon problem, the flatness problem is one of the three primary motivations for inflationary theory. Flatness in cosmology is a curved spacetime...

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...

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...

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...

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...

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...

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}...

guides who are knowledgeable about the local fishing grounds and feeding patterns. The increase in popularity of flats fishing as a destination activity has...

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...

Local 58 is a horror web series created by cartoonist Kris Straub. The series is a spin-off of Straub's Candle Cove creepypasta. Currently hosted on the...

colonists from Corinth and Corcyra in cooperation with the Taulantii, a local Illyrian tribe. Also known as Dyrrachium, Durrës developed as it became...

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...

the local Moroccan immigrant community. In recent years, some residents had become leaseholders, mostly under the Right to Buy scheme; 14 flats in the...

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...

traditional name, tepui, from the local Pomón language, and the term table mountains have been used to describe local flat-topped mountains. Similar landforms...

called conformal flatness, although some authors refer to it instead as local conformal flatness; for those authors, conformal flatness refers to a more...

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...

eliminate deductions is fundamental to the flat tax design; deductions dramatically affect the effective "flatness" in the tax rate. Perhaps the single biggest...

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...

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...

means that the embedding of A {\displaystyle A} must also be smooth. Local flatness Lee, Kotik K. (1992), Lectures on Dynamical Systems, Structural Stability...

now covered by a few meters of salt crust, which has an extraordinary flatness with the average elevation variations within one meter over the entire...

The state and local tax deduction (SALT deduction) is a United States federal itemized deduction that allows taxpayers to deduct certain taxes paid to...

players Kyrie Irving, Wilson Chandler, Draymond Green) advocating for flatness. In the Information Age, the availability of communications technology...

(31 km) east of Brighton and 54 miles (87 km) south of London. It is also a local government district with borough status. Eastbourne is immediately east...

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)...