Vektorelement

Vektorelement is a term used in mathematics and computer science to denote an individual element associated with a vector. The precise meaning depends on context: in mathematics, a vector is an element of a vector space; in programming, a vector is a dynamic array of elements.

In mathematics, a vector in R^n is typically written as v = (v1, v2, ..., vn). Each vi is a scalar coordinate. While vi is usually called a component or entry, some texts may refer to vi as a vektorelement in the sense of a single coordinate within the vector. The vector as a whole is characterized by its components and by operations that combine vectors, such as addition and scalar multiplication.

In computer science, a vector refers to a container that stores a sequence of elements of the same type. A vektorelement is one stored value, accessible by an index. Operations on a vector include accessing elements, iterating, inserting or removing elements, and resizing the container. The term emphasizes the element as part of the vector’s data sequence rather than the vector as a standalone mathematical object.

Indexing conventions and typing vary by language. Many programming languages use zero-based indexing, while some use one-based indexing. In statically typed languages, all vektorelements share a common type; in dynamic or generic contexts, elements may be of a common interface or a homogeneous type at runtime.

See also: vector, coordinate, component, dynamic array, vector space.