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This article is about differential geometry. Not to be confused with Flat map (ring theory).
In differential geometry, flat map is a mapping that converts vectors into corresponding 1-forms, given a non-degenerate (0,2)-tensor.
geometry, flatmap is a mapping that converts vectors into corresponding 1-forms, given a non-degenerate (0,2)-tensor. Flat morphism Sharp map, the mapping...
map or Fuller map is a projection of a world map onto the surface of an icosahedron, which can be unfolded and flattened to two dimensions. The flat map...
algebraic geometry, a flat morphism f from a scheme X to a scheme Y is a morphism such that the induced map on every stalk is a flatmap of rings, i.e., f...
projection surface, then unraveling and scaling the projection surface into a flatmap. The most common projection surfaces are cylindrical (e.g., Mercator),...
Flat Earth is an archaic and scientifically disproven conception of the Earth's shape as a plane or disk. Many ancient cultures subscribed to a flat-Earth...
equidistant projection has also been adopted by 21st century Flat Earthers as a map of the Flat Earth, particularly due to its use in the UN flag and its...
world maps date to classical antiquity, the oldest examples of the 6th to 5th centuries BCE still based on the flat Earth paradigm. World maps assuming...
Google Maps designed its overall view (when zoomed out completely) into a 3D globe dropping the Mercator projection that projected the planet onto a flat surface...
the datum ellipsoidal coordinates and height onto a flat surface of a map. The datum, along with a map projection applied to a grid of reference locations...
intersecting curves. Afterward, this cylinder is unrolled onto a flat plane to make a map. In this interpretation, the scale of the surface is preserved...
mapped object on flat media. This is the concern of map projections. Eliminate the mapped object's characteristics that are irrelevant to the map's purpose...
1911) was a South Dakota resident best known today for a detailed flat earth map he created in 1893. Ferguson was born near Du Quoin, Illinois in 1846...
the map f {\displaystyle f} factors through a map g to a free R-module G {\displaystyle G} such that g ( K ) = 0 : {\displaystyle g(K)=0:} Flatness is...
North America the flatmap shows Mecca in the southeast while the great circle calculation shows it to the northeast. In Japan the map shows it to the southwest...
better-known places in his world were in the northern hemisphere, and on a flatmap these were most convenient for study if they were in the upper right-hand...
data than are possible with a flatmap (e.g. equirectangular) projection. A technical description of the c-squares mapper installation process (version...
J. Richard; Goldberg, David M.; Vanderbei, Robert J. (2021-02-15). "FlatMaps that improve on the Winkel Tripel". arXiv:2102.08176 [astro-ph.IM]. Jarke...
The display of images by a projector Map projection, reducing the surface of a three-dimensional planet to a flatmap Graphical projection, the production...
charts. For example, no single flatmap can represent the entire Earth without separation of adjacent features across the map's boundaries or duplication of...
surface, or computed using a flatmap projection. The mean center, or centroid, is the point on which a rigid, weightless map would balance perfectly, if...
map from the Flemish manuscript of Brunetto Latini, Le Livre dou Tresor, early 14th century. Flat Earth, world view Mappa mundi, mediaeval world map Babylonian...
Empire. Flatmaps are created using a map projection that inevitably introduces an increasing amount of distortion the larger the area that the map shows...
Pseudoscientific beliefs in a flat Earth are promoted by a number of organizations and individuals. The claims of modern flat Earth proponents are not based...
{\displaystyle X^{\flat }:=i_{X}g=g(X,\cdot )} yields a linear map sometimes called the flatmap ♭ : Γ ( T M ) → Γ ( T ∗ M ) {\displaystyle \flat :\Gamma (TM)\to...
arbitrary) topological spaces and proper maps f, in algebraic geometry for (quasi-)coherent sheaves and f proper or g flat, similarly in analytic geometry, but...
This fact is significant for cartography: it implies that no planar (flat) map of Earth can be perfect, even for a portion of the Earth's surface. Thus...
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