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...

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...

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...

topics in geometric topology are orientability, handle decompositions, local flatness, crumpling and the planar and higher-dimensional Schönflies theorem...

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...

qubic function where finite evolutionary steps would lead past the local 'flatness'. Second, a fitness maximum which is known as an evolutionarily stable...

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

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...

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}...

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...

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

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...

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...

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

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

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

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

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...

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...

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...

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...

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

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...

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...