Metrieke

Metrieke is the Dutch adjective meaning metric, used to describe things relating to a metric or the metric system. It is commonly encountered in technical and academic contexts, where a metric or metrical structure is central. As an everyday term, metrieke may modify nouns such as space, distance, system, or units to indicate a relation to measurement or mathematical distance.

In mathematics, metrieke ruimte (metric space) is a set equipped with a metriek (distance function) d: X×X → [0,∞) that satisfies four conditions: d(x,y) ≥ 0, d(x,y) = 0 iff x = y, symmetry d(x,y) = d(y,x), and the triangle inequality d(x,z) ≤ d(x,y) + d(y,z). The Euclidean distance on R^n is the canonical example of a metriek. Many other metrics can be defined, leading to different notions of distance and convergence on the same underlying set.

In metrology and everyday usage, metrieke refers to the metric system and its units. Measurements expressed in meters, liters, grams, and other SI units are described as metrieke measurements, distinguishing them from imperial or customary systems.

In Dutch poetry and linguistics, metrieke describes metrical structure—the pattern of stresses or syllables in verse. Metrische regels or metrical rules prescribe how lines should be scanned and organized to form a fixed meter.

Overall, metrieke functions as an adjectival form linking Dutch terminology to concepts of distance, measurement, and metrical structure across mathematics, science, and literature.