bounded

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bounded

(theory)
In domain theory, a subset S of a cpo X is bounded if there exists x in X such that for all s in S, s <= x. In other words, there is some element above all of S. If every bounded subset of X has a least upper bound then X is boundedly complete.

("<=" is written in LaTeX as \subseteq).
References in periodicals archive ?
In other words, the capacity of the state to 'make life' for some of its citizens is supported by simultaneously retaining its power to 'let die' some of its other citizens (Morgensen, 2011: 55), by relegating these subjects to outside the boundedness of the rule of the law instituted by the formal state.
Statistics for O-Graph State Space Nodes: 39815 Arcs: 73397 Secs: 300 Status: Partial Scc Graph Nodes: 39815 Arcs: 73397 Secs: 5 Boundedness Properties Best Integer Bounds Upper Lower HOME'CNTR 1 1 0 HOME'DIR 1 8 8 HOME'MH 1 1 0 HOME'ND AT 1 1 0 HOME'RHOME 1 1 0 HOME'St 1 11 11 NROUTE'DIRECTION2 1 3 3 NROUTE'DIRECTION4 1 3 3 NROUTE'DIRECTION5 1 3 3 NROUTE'NEW ROUTE 1 1 0 Dead Markings 6458 [59,50,40,39815,39814, .
The web is the wiring diagram of the implosion, the internal expression of our boundedness.
From Lemma 1 and Theorems 2, 3, and 6, one can derive the uniqueness, positivity, and boundedness of the solutions of (33).
It can be concluded that FTB considers the system state (not exceeding a given threshold) in a finite-time interval while IO-FTS only considers the output (norm bounded with input disturbances satisfying some boundedness conditions) in a finite-time interval.
The category of state of boundedness relates to bounded matter and unbounded matter, and "corresponds to the traditional linguistic distinction between 'mass' and 'count' " nouns.
1) are important, since among other things, they can be used to derive the boundedness of vector-valued maximal operators.
In addition, we have proved the existence, positivity, and the boundedness of solutions of the problem, which implies that the model is well posed.
It is, however, more luminously legible in Bailey's terms as turning on the conceit of debt bondage: its dialogue is structured around the identifications of freedom, invisibility, detachment, and credit, as opposed to imprisonment, bodily vulnerability, boundedness and debt.
None of these findings support a notion of clear national boundedness and an intrinsic preference of people for one group or another.
Similarly, FPOWA and FPOWG, FPOWHA and FPOWQA operators have also the following properties: Commutativity, Idempotency and Boundedness.