Vektorielles

Vektorielles is a term encountered in several European languages to denote concepts related to vectors or vector-valued objects. In English, the closest established terms are vectorial or vector-valued; vektorielles itself is not commonly used in standard mathematical or scientific literature. The form often appears as an inflected adjective or plural noun in languages that mark gender or case.

In mathematics and informatics, vektorielles generally refers to entities defined by or taking values in vectors. A vektorielles object may be a vector-valued function from a domain to a vector space, a vector field assigning to each point a vector, or any construction that aggregates components into a vector. Such objects are analyzed in terms of their components, directions, and magnitudes, and they obey the algebraic rules of vector spaces.

In physics and engineering, the term is used to describe quantities with both magnitude and direction, such as velocity, force, momentum, or electromagnetic fields. These are contrasted with scalars, which have only magnitude. The vector nature of these quantities underpins operations like addition of vectors, projection, and differentiation in the context of vector fields.

Language usage notes indicate that vektorielles is not a standardized English term. Its exact meaning is shaped by the language and discipline in which it appears, typically signaling a vector-oriented structure, vector-valued data, or vector fields.

See also: vector, vector space, vector field, vector-valued function, vector calculus, tensor, vectorization.