The process whereby fluids pass through a filter or a filtering medium

The act of changing a fluid by passing it through a filter

In winemaking, clarification and stabilization are the processes by which insoluble matter suspended in the wine is removed before bottling.

In mathematics, a filtration F {\displaystyle {\mathcal {F}}} is an indexed family i ∈ I {\displaystyle _{i\in I}} of subobjects of a given algebraic structure S {\displaystyle S}, with the index i {\displaystyle i} running over some totally ordered index set I {\displaystyle I}, subject to the condition that if i ≤ j {\displaystyle i\leq j} in I {\displaystyle I}, then S i ⊆ S j {\displaystyle S_{i}\subseteq S_{j}}.

In the theory of stochastic processes, a subdiscipline of probability theory, filtrations are totally ordered collections of subsets that are used to model the information that is available at a given point and therefore play an important role in the formalization of random processes.