Boundedness or bounded may refer to:
Economics
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Bounded rationality, 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 ...
, 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 infini ...
, 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 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
Exponential growth is a process ...
, 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 ter ...
, a linear operator defined on a subspace
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Bounded poset
:''"Bounded" and "boundary" are distinct concepts; for the latter see boundary (topology). A circle in isolation is a boundaryless bounded set, while the half plane is unbounded yet has a boundary.
In mathematical analysis and related areas of m ...
, a partially ordered set that has both a greatest and a least element
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Bounded set, a set that is finite in some sense
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Bounded function, 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-valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a conti ...
, a real-valued function whose total variation is bounded
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Bounded pointer In computer science, a bounded pointer is a pointer (computer programming), 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 th ...
, a pointer that is augmented with additional information that enable the storage bounds within which it may point to be deduced
See also
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Boundless (disambiguation)
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Unbound (disambiguation)
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{{disambiguation, math