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What (who) is cylindrical embedding - definition

MAP PROJECTION

Miller projection; Miller cylindrical; Miller Cylindrical; World Miller Cylindrical; Miller cylindrical map projection

Embedding

INJECTIVE AND STRUCTURE-PRESERVING MAP

Embedding (topology); Topological embedding; Isometric embedding; Isometric immersion; Abstract embedding; Isometric imbedding; Embedding (field theory); Metric embedding; Local embedding; Embedding (mathematics); Locally injective function

·p.pr. & ·vb.n. of Embed.

embedding

INJECTIVE AND STRUCTURE-PRESERVING MAP

Embedding (topology); Topological embedding; Isometric embedding; Isometric immersion; Abstract embedding; Isometric imbedding; Embedding (field theory); Metric embedding; Local embedding; Embedding (mathematics); Locally injective function

1. <mathematics> One instance of some mathematical object contained with in another instance, e.g. a group which is a subgroup. 2. <theory> (domain theory) A complete partial order F in [X -> Y] is an embedding if (1) For all x1, x2 in X, x1 <= x2 <=> F x1 <= F x2 and (2) For all y in Y, x | F x <= y is directed. ("<=" is written in LaTeX as sqsubseteq). (1995-03-27)

Spatial embedding

Draft:Spatial Embedding; Spatial Embedding

Spatial embedding is one of feature learning techniques used in spatial analysis where points, lines, polygons or other spatial data types. representing geographic locations are mapped to vectors of real numbers.

https://en.wikipedia.org/wiki/Spatial_embedding

Wikipedia

Miller cylindrical projection

The Miller cylindrical projection is a modified Mercator projection, proposed by Osborn Maitland Miller in 1942. The latitude is scaled by a factor of 4⁄5, projected according to Mercator, and then the result is multiplied by 5⁄4 to retain scale along the equator. Hence:

or inversely,

where λ is the longitude from the central meridian of the projection, and φ is the latitude. Meridians are thus about 0.733 the length of the equator.

In GIS applications, this projection is known as: "ESRI:54003 – World Miller Cylindrical".

Compact Miller projection is similar to Miller but spacing between parallels stops growing after 55 degrees.

https://en.wikipedia.org/wiki/Miller cylindrical projection