flerdimensionella

Flerdimensionella is the Swedish term used to describe objects, spaces, or models that involve more than three spatial dimensions, or more generally many dimensions. The term is used across disciplines such as mathematics, physics, computer science, and data analysis to characterize higher-dimensional structures.

In mathematics and geometry, a space with d dimensions is called d-dimensional; when d exceeds three, it is described as flerdimensionell. Vector spaces, matrices, and tensors generalize to any number of dimensions. The familiar four-dimensional spacetime in relativity adds time as a fourth dimension to three spatial ones, while higher-dimensional spaces appear in theory and data.

Because human perception is three-dimensional, higher dimensions are often studied through abstraction and visualization techniques. Projections, cross-sections, and geometric analogues such as a tesseract (the 4D analogue of a cube) are used to illustrate properties of flerdimensionella objects.

Applications include theoretical physics (string theory and cosmology postulates of additional dimensions), data science (high-dimensional feature spaces in machine learning), computer graphics (multi-dimensional arrays and transformations), and computational mathematics (optimization and numerical methods in high dimensions).

The adjective form in Swedish aligns with standard compounding rules for fler- and dimensionell; flerdimensionell describes features with multiple dimensions, and flerdimensionella is the plural form. The concept is a general part of modern mathematics and science.