endimensjonal

Endimensjonal, in mathematics and related disciplines, denotes something that has dimension one. In the linear-algebra sense, an endimensjonal vector space over a field F is a space that can be spanned by a single nonzero vector; any element is a scalar multiple of that vector. The real line R is the canonical example, viewed as a one-dimensional vector space over R, and any line through the origin in R^n is a one-dimensional subspace.

In geometry and topology, "one-dimensional" describes objects such as lines and curves. A straight line in Euclidean space is one-dimensional, and a smooth curve is also typically considered 1D. A one-dimensional manifold is a space that, near every point, resembles an open interval of the real line; common examples include the circle S^1 and any smoothly embedded curve.

In analysis and geometry, the notion extends to measures and dimensions: the Lebesgue measure on a 1D space assigns length; the topological dimension of a curve is 1; the Hausdorff dimension of a smooth curve is 1.

In computer science, "one-dimensional" can refer to data structures indexed by a single axis, such as one-dimensional arrays or sequences.

The term emphasizes dimension relative to context; thus endimensjonal can mean different but related ideas depending on whether one speaks of vector spaces, manifolds, or data structures. In Norwegian usage, it mirrors the general mathematical concept of dimension equal to one.