bounded set


Also found in: Wikipedia.

bounded set

[¦bau̇n·dəd ′set]
(mathematics)
A collection of numbers whose absolute values are all smaller than some constant.
A set of points, the distance between any two of which is smaller than some constant.
References in periodicals archive ?
1,loc](S, [mu]) such that for any bounded measurable function g, for which g - 1 is supported in a bounded set B, we have
1], D(w) be a bounded set as in Step 2, and y [member of] D(w).
Mansour and Dillon, 2011) proposed hybrid (Path and state based) reliability models is used to check the reliability aspects and simulation results are also presented and bounded set approach is used to evaluate the reliability of composite web services and only two state model is done effectively and it also extended to three state model to determine reliability.
In her view, patent law more correctly should be seen as merely creating opportunities to bargain over the definition of rights, as patents are established individually for each patent in the face of rapidly changing knowledge and meaning and thus could never provide a definitive and clearly bounded set of rights.
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be a bounded set of [C.
n]]) is a bounded set in X for each x [member of] X.
3] in the closed and bounded set of [-2, 5] x [-1, 4].
Recently the interest to extend the results of the real case to Borel measures, supported in some bounded set of the complex plane, has increased; see ([10]).
Since the solution set is a bounded set, we can confine ourselves with the set-valued mapping F defined in a suitable bounded set of I x [R.
The Kuratowski measures of noncompactness of a bounded set in the spaces E, C(J, E), and X are denoted by [[alpha].
1]), and hence every balanced (: circled) convex subset of the algebra that absorbs every bounded set in it is a neighborhood of zero.