Multidimensionell

Multidimensionell is a Swedish adjective meaning multidimensional. The term is used across disciplines to describe objects, models, or analyses that involve more than one dimension or aspect.

In mathematics, a multidimensional space is any set that can be described by a vector of coordinates in R^n, where n > 1. The number of dimensions, called the dimension, corresponds to the number of independent directions. Common examples include two- and three-dimensional spaces, and higher-dimensional spaces used in geometry and analysis. In these contexts, distance, angle, and transformations are generalized from the familiar plane to higher dimensions.

In data processing and information systems, multidimensional refers to data structures that store values across multiple axes or “dimensions,” such as time, location, and category. Multidimensional databases (or OLAP databases) organize data into cubes for rapid aggregation and analysis. Dimensionality reduction techniques reduce the number of dimensions while preserving structure.

In imaging and signal processing, multidimensional signals can have several coordinates, such as spatial coordinates plus color channels (hyperspectral imagery), or time-series across sensors.

In physics, extra dimensions are a theoretical concept; string theory and related frameworks posit dimensions beyond the observable four.

In philosophy or social sciences, a multidimensional approach considers several interrelated factors, such as economic, social, and cultural dimensions of a phenomenon. See also multidimensional scaling, tensor, and dimension.