embedding - Definition. Was ist embedding
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Was (wer) ist embedding - definition

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

Embedding         
·p.pr. & ·vb.n. of Embed.
embedding         
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         
  • none
  • Example of a city network: the [[Rennes Metro]] (French: Métro de Rennes). In this example metro stops are vertices and tracks between them are edges.
  • none
  • none
  • Example of regular [[hexagonal tiling]] used to divide [[San Francisco]] Bay area using [[Uber]]'s H3 library.
  • Map of [[San Francisco]] administrative districts.
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.

Wikipedia

Embedding

In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.

When some object X {\displaystyle X} is said to be embedded in another object Y {\displaystyle Y} , the embedding is given by some injective and structure-preserving map f : X Y {\displaystyle f:X\rightarrow Y} . The precise meaning of "structure-preserving" depends on the kind of mathematical structure of which X {\displaystyle X} and Y {\displaystyle Y} are instances. In the terminology of category theory, a structure-preserving map is called a morphism.

The fact that a map f : X Y {\displaystyle f:X\rightarrow Y} is an embedding is often indicated by the use of a "hooked arrow" (U+21AA RIGHTWARDS ARROW WITH HOOK); thus: f : X Y . {\displaystyle f:X\hookrightarrow Y.} (On the other hand, this notation is sometimes reserved for inclusion maps.)

Given X {\displaystyle X} and Y {\displaystyle Y} , several different embeddings of X {\displaystyle X} in Y {\displaystyle Y} may be possible. In many cases of interest there is a standard (or "canonical") embedding, like those of the natural numbers in the integers, the integers in the rational numbers, the rational numbers in the real numbers, and the real numbers in the complex numbers. In such cases it is common to identify the domain X {\displaystyle X} with its image f ( X ) {\displaystyle f(X)} contained in Y {\displaystyle Y} , so that X Y {\displaystyle X\subseteq Y} .

Beispiele aus Textkorpus für embedding
1. Second, we are embedding coalition transition teams‘‘ inside Iraqi units.
2. Second, we are embedding coalition transition teams inside Iraqi units.
3. "We have made progress in embedding diversity in recent years.
4. Second, we are embedding coalition "transition teams" inside Iraqi units.
5. Second, we are embedding coalition "Transition Teams" inside Iraqi units.