embedding

noun
High School
1

The act or process by which one thing is embedded in another.

2

A continuous map which is also a homeomorphism between its domain and its image (considered with the subspace topology induced by its codomain).

3

An immersion which is also a topological embedding; equivalently, a diffeomorphism whose image is a submanifold of its codomain.

4

A ring homomorphism between fields (the name deriving from the fact that all such maps are injective).

5

A map between metric spaces which preserves distances up to some scaling factor (called the distortion).

6

An injective morphism in a concrete category which is also initial.

7

A representation of a unit of text (such as a word or token) as a vector, which encodes the context in which it is used.

Sound Patterns & Rhymes

Rhymes

Words that share the same ending sound pattern

Alliteration

Words starting with the same consonant sound — used in poetry and prose to create rhythm, emphasis, and memorable phrasing (e.g. “Peter Piper picked”)

Assonance

Words sharing similar vowel sounds regardless of starting letter — creates internal melody in writing

Consonance

Words sharing similar consonant sound patterns — adds texture and cohesion to writing