Boundedness, bounded, or unbounded may refer to:
Economics
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Bounded rationality
Bounded rationality is the idea that rationality is limited when individuals decision-making, make decisions, and under these limitations, rational individuals will select a decision that is satisficing, satisfactory rather than optimal.
Limitat ...
, the idea that human rationality in decision-making is bounded by the available information, the cognitive limitations, and the time available to make the decision
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Bounded emotionality Bounded emotionality is a communications studies approach to dealing with emotional control in the workplace. Emotional control simply refers to how employers and employees handle the range of emotions that naturally occur in the workplace. These e ...
, a concept within communication theory that stems from emotional labor and bounded rationality
Linguistics
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Boundedness (linguistics)
In linguistics, boundedness is a semantic feature that relates to an understanding of the referential limits of a lexical item. Fundamentally, words that specify a spatio-temporal demarcation of their reference are considered ''bounded'', while w ...
, whether a situation has a clearly defined beginning or end
Mathematics
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Boundedness axiom
In set theory, the axiom schema of replacement is a schema of axioms in Zermelo–Fraenkel set theory (ZF) that asserts that the image of any set under any definable mapping is also a set. It is necessary for the construction of certain infinite ...
, the axiom schema of replacement
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Bounded deformation
In mathematics, a function of bounded deformation is a function whose distributional derivatives are not quite well-behaved-enough to qualify as functions of bounded variation, although the symmetric part of the derivative matrix does meet that con ...
, a function whose distributional derivatives are not quite well-behaved-enough to qualify as functions of bounded variation, although the symmetric part of the derivative matrix does meet that condition
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Bounded growth
Bounded growth, also called asymptotic growth, occurs when the growth rate of a mathematical function is constantly increasing at a decreasing rate. Asymptotically, bounded growth approaches a fixed value. This contrasts with exponential growth, w ...
, occurs when the growth rate of a mathematical function is constantly increasing at a decreasing rate
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Bounded operator
In functional analysis and operator theory, a bounded linear operator is a linear transformation L : X \to Y between topological vector spaces (TVSs) X and Y that maps bounded subsets of X to bounded subsets of Y.
If X and Y are normed vector ...
, a linear transformation ''L'' between normed vector spaces for which the ratio of the norm of ''L''(''v'') to that of ''v'' is bounded by the same number over all non-zero vectors ''v''
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Unbounded operator
In mathematics, more specifically functional analysis and operator theory, the notion of unbounded operator provides an abstract framework for dealing with differential operators, unbounded observables in quantum mechanics, and other cases.
The t ...
, a linear operator defined on a subspace
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Bounded poset
In mathematical analysis and related areas of mathematics, a set is called bounded if all of its points are within a certain distance of each other. Conversely, a set which is not bounded is called unbounded. The word "bounded" makes no sense in a ...
, a partially ordered set that has both a greatest and a least element
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Bounded set
In mathematical analysis and related areas of mathematics, a set is called bounded if all of its points are within a certain distance of each other. Conversely, a set which is not bounded is called unbounded. The word "bounded" makes no sense in ...
, a set that is finite in some sense
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Bounded function
In mathematics, a function f defined on some set X with real or complex values is called bounded if the set of its values (its image) is bounded. In other words, there exists a real number M such that
:, f(x), \le M
for all x in X. A functi ...
, a function or sequence whose possible values form a bounded set
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Bounded set (topological vector space)
In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be ''inflated'' to include the set.
A set that is not bounded is ...
, a set in which every neighborhood of the zero vector can be inflated to include the set
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Bounded variation
In mathematical analysis, a function of bounded variation, also known as ' function, is a real number, real-valued function (mathematics), function whose total variation is bounded (finite): the graph of a function having this property is well beh ...
, a real-valued function whose total variation is bounded
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Bounded pointer
In computer science, a bounded pointer is a pointer that is augmented with additional information that enable the storage bounds within which it may point to be deduced. This additional information sometimes takes the form of two pointers holding ...
, a pointer that is augmented with additional information that enable the storage bounds within which it may point to be deduced
Other uses
*''Unbounded'', a 2023 book by Australian author
Maria Thattil
See also
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Boundless (disambiguation)
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Unbound (disambiguation)
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{{disambiguation, math