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emotional labor and bounded rationality Boundedness (linguistics), whether a situation has a clearly defined beginning or end Boundedness axiom, the axiom...
In mathematics, a uniformly bounded family of functions is a family of bounded functions that can all be bounded by the same constant. This constant is...
operators (and thus bounded operators) whose domain is a Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm. The...
under f {\displaystyle f} is bounded. The following theorem relates local boundedness of functions with the local boundedness of topological vector spaces:...
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...
(M, d) is a bounded metric space (or d is a bounded metric) if M is bounded as a subset of itself. Total boundedness implies boundedness. For subsets...
Uniform boundedness conjecture may refer to: Uniform boundedness conjecture for torsion points Uniform boundedness conjecture for rational points Uniform...
operators (and thus bounded operators) whose domain is a Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm. The...
In arithmetic geometry, the uniform boundedness conjecture for rational points asserts that for a given number field K {\displaystyle K} and a positive...
{\displaystyle y} . The resulting axiom schema is also called the axiom schema of boundedness. The axiom schema of separation, the other axiom schema in ZFC, is implied...
mathematics, total-boundedness is a generalization of compactness for circumstances in which a set is not necessarily closed. A totally bounded set can be covered...
1, and degree g > 1 {\displaystyle g>1} , then f {\displaystyle f} is bounded on subsets of H g {\displaystyle {\mathcal {H}}_{g}} of the form { τ ∈...
PN(K), and the general Uniform Boundedness Conjecture says that the number of preperiodic points in PN(K) may be bounded solely in terms of N, the degree...
congruence subgroup problem (see Lubotzky & Segal 2003). A group G is called boundedly generated if there exists a finite subset S of G and a positive integer...
The difference lies in the δ {\displaystyle \delta } : for stochastic boundedness, it suffices that there exists one (arbitrary large) δ {\displaystyle...
{\displaystyle f(X)} is a bounded set in Y {\displaystyle Y} .[citation needed] Weaker than boundedness is local boundedness. A family of bounded functions may be...
applying an appropriate version of the Fourier inversion theorem. The boundedness condition on φ ( s ) {\displaystyle \varphi (s)} can be strengthened...
{\displaystyle \alpha } and β {\displaystyle \beta } are positive, the solution is bounded: | x | ≤ 2 H / α and | x ˙ | ≤ 2 H , {\displaystyle |x|\leq {\sqrt {2H/\alpha...
_{e_{3}}=\Gamma _{w_{4}}} Central differencing scheme satisfies first condition of boundedness. Since F e − F w = 0 {\displaystyle F_{e}-F_{w}=0} from continuity equation...
Characterization of surjectivity Uniform boundedness principle – A theorem stating that pointwise boundedness implies uniform boundedness Webbed space – Space where...
such as Shokurov's conjecture on boundedness of complements, and the Borisov–Alexeev–Borisov conjecture on boundedness of Fano varieties. In 2018, Birkar...
of those weights ω for which the Hardy–Littlewood maximal operator is bounded on Lp(dω). Specifically, we consider functions f on Rn and their associated...
rank on average as well. In Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves, Bhargava and Shankar...
a class of nonlinear operators on Lp spaces with good continuity and boundedness properties. They take their name from the mathematician Viktor Vladimirovich...