Sentence examples for boundary of the set from inspiring English sources

The objective is to co-operatively detect and localize the boundary of the set where the field value exceeds a certain threshold.

In special cases, this reduction allows for polynomial time bounds, even if the boundary of the set of reachable placements has exponential complexity.

Despite its relevance, computing the boundary of the set swept by a non-polyhedral moving object is largely an open problem due to well-known theoretical and computational difficulties of the envelopes.

The discrete functional possesses an infinite barrier on the boundary of the set of non-folded dodecahedral cells that ensures the construction of the non-folded grid composed of such cells.

In this paper we shall prove that any semicontinuous affine real function, defined on a compact convex set, satisfies the boundary barycentric calculus, with respect to the measure induced on the extremal boundary of the set by any maximal Radon probability measure.

Investigate the behaviour of integral curves of (2.10) with respect to the boundary of the set (2.11).

Figure 13 a displays the boundary of the set-valued systemic risk measures for varying fractions ρ of the illiquid asset without bankruptcy costs.

Therefore, due to this difference, the proposed formula cannot be considered an outer measure and, instead of measuring the out boundary of the sets, it provides an overall average similarity.

By declaring "war on terror", George W Bush had already redefined the notion of "war", and by similarly declaring a cyber attack to be an "act of war", the Obama administration has recently extended this notion still further – or more accurately, has provided an additional instance variable within the mathematical boundaries of the set of meanings attributable to the term "war".

We characterize the boundaries of the set of transfers (extremal transfers) implementing a given allocation rule without imposing any assumptions on the agentʼs type space or utility function besides quasi-linearity.

To address this issue, researchers from the verification community have recently proposed several notions of robustness for temporal logic providing suitable definitions of distance between a trajectory of a (deterministic) dynamical system and the boundaries of the set of trajectories satisfying the property of interest.