topological transitivity - vertaling naar russisch
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topological transitivity - vertaling naar russisch

MATHEMATICAL DESCRIPTION OF THERMODYNAMIC MIXING
Weak mixing; Topological mixing; Strong mixing; Mixing system; Topological transitivity; Topologically transitive; Topologically mixing; Mixing (stochastics); Alpha mixing; Stochastic mixing
  • Repeated application of the [[baker's map]] to points colored red and blue, initially separated. The baker's map is mixing, shown by the red and blue points being completely mixed after several iterations.

topological transitivity         

математика

топологическая транзитивность

strong mixing         

теория вероятностей

сильное перемешивание

weak mixing         

теория вероятностей

слабое перемешивание

Definitie

Transitive
·adj Effected by transference of signification.
II. Transitive ·adj Having the power of making a transit, or passage.
III. Transitive ·adj Passing over to an object; expressing an action which is not limited to the agent or subject, but which requires an object to complete the sense; as, a transitive verb, for example, he holds the book.

Wikipedia

Mixing (mathematics)

In mathematics, mixing is an abstract concept originating from physics: the attempt to describe the irreversible thermodynamic process of mixing in the everyday world: e.g. mixing paint, mixing drinks, industrial mixing.

The concept appears in ergodic theory—the study of stochastic processes and measure-preserving dynamical systems. Several different definitions for mixing exist, including strong mixing, weak mixing and topological mixing, with the last not requiring a measure to be defined. Some of the different definitions of mixing can be arranged in a hierarchical order; thus, strong mixing implies weak mixing. Furthermore, weak mixing (and thus also strong mixing) implies ergodicity: that is, every system that is weakly mixing is also ergodic (and so one says that mixing is a "stronger" notion than ergodicity).

Vertaling van &#39topological transitivity&#39 naar Russisch