Regulariteetti
Regulariteetti (regularity) is a broad concept used in Finnish to denote the property of being regular, orderly, or predictable. In mathematics it is often used to describe the smoothness or well-behavedness of objects such as functions, sets, or spaces. For a real-valued function, regularity indicates levels of smoothness: continuous (C0), differentiable (Ck), or smooth (C∞), with weaker notions such as Lipschitz or Hölder continuity also common. Regularity conditions are central to analysis because higher regularity often yields stronger conclusions about a solution’s behavior.
In partial differential equations, regularity theory studies when solutions inherit smoothness from equations and data. Elliptic
In algebraic geometry, a point on a variety is regular (non-singular) if the local ring has dimension
Outside pure mathematics, the term appears in probability (regularity of distributions and conditional probabilities), in physics
The term stems from Latin regularis, via French and other languages. In Finnish scholarly use, Regulariteetti