boundedness's Usage Examples:

In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis.

Total boundedness implies boundedness.

The uniform boundedness conjecture for preperiodic points of Morton and Silverman says that the.

The resulting axiom schema is also called the axiom schema of boundedness.

The definition of boundedness can be generalized to functions f : X → Y taking values in a more general.

In linguistics, boundedness is a semantic feature that relates to an understanding of the referential limits of a lexical item.

algebraic geometry and number theory, the torsion conjecture or uniform boundedness conjecture for torsion points for abelian varieties states that the order.

Compact space – Topological notions of all points being "close" Local boundedness Locally convex topological vector space – A vector space with a topology.

x\in [a,b]} The extreme value theorem is more specific than the related boundedness theorem, which states merely that a continuous function f {\displaystyle.

In topology and related branches of mathematics, total-boundedness is a generalization of compactness for circumstances in which a set is not necessarily.

operators) whose domain is a Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm.

Clearly, this also means that boundedness is no longer equivalent to Lipschitz continuity in this context.

He was awarded the Fields Medal in 2018, "for his proof of boundedness of Fano varieties and contributions to the minimal model program".

is sufficient to establish boundedness on L 2 {\displaystyle L^{2}} but is in general not strong enough to give boundedness on other spaces.

Uniform boundedness conjecture may refer to: Uniform boundedness conjecture for torsion points Uniform boundedness conjecture for rational points Uniform.

Local boundedness may also refer to a property of topological vector spaces, or of functions.

normal topological space can be extended to the entire space, preserving boundedness if necessary.

Synonyms:

finitude; quality; finiteness;

Antonyms:

unfaithfulness; unpleasantness; rightness; infiniteness;