Vektoreellisten

Vektoreellisten is a term used to describe a structured collection of vectors, typically forming a finite sequence. Each element is a vector, and the collection is used to organize multiple vector-valued items for processing in mathematics and computer science.

Formally, a vektoreellisten is a finite sequence (v1, v2, ..., vn) where each vi lies in a vector space V over a field F. If all vectors have the same dimension d, the collection can be viewed as a matrix in F^{n×d}.

Common operations include indexing, appending, and applying a function componentwise to each element. The list supports scalar multiplication and elementwise addition with another vektoreellisten of the same length and dimension. Norms and inner products may be defined per-vector or across the collection, depending on the context and the chosen vector space structure.

Applications include batch processing of feature vectors in machine learning, processing sequences of 3D coordinates in graphics, and numerical linear algebra where a batch of vectors is manipulated together. A vektoreellisten provides a convenient abstraction for performing vectorized computations efficiently, especially when implemented with contiguous memory layouts or optimized linear algebra routines.

In relation to related concepts, a vektoreellisten is closely connected to arrays, matrices, and tensors. When treated as a fixed-size matrix, it enables standard linear algebra operations; when the length is variable, it serves as a dynamic list of vectors suitable for streaming or online processing. See also vector space, matrix, tensor, and batch processing.