Vectorsvectors

Vectorsvectors is not a standard mathematical term. In practice, it appears as a playful or informal label for constructions in which vectors are nested inside other vectors or where a collection of vectors is treated as a single higher-order object. The phrase is sometimes used in discussions about data structures, algorithms, or mathematical notation, rather than as a formal concept.

In mathematics and linear algebra, the closest established concept is a vector of vectors, i.e., an element of a product space V^W, which can be visualized as a two-dimensional array or matrix when finite. Such objects can be flattened or reorganized, and operations like inner products, norms, or linear transformations extend blockwise or through tensor constructions. When the inner vectors have varying lengths, the structure resembles a ragged array rather than a true matrix.

In programming and data science, a vectorsvectors structure may be implemented as a vector (or list) of vectors, enabling variable-length sequences or multi-channel features. This is common in languages such as C++, Python, or Java, and in data formats that store nested arrays. Practical concerns include memory layout, random access performance, and compatibility with vectorized operations or statistical routines.

Applications range from representing time-series data with per-step feature vectors, to multi-dimensional signals, to hierarchical data models. Although the exact term vectorsvectors is rarely used in formal literature, the underlying ideas align with concepts such as matrices, matrices of vectors, tensors, and nested data structures.

See also: vectors, matrices, tensors, vector of vectors, ragged arrays, nested data structures.