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For the continuous-time event detection case, it is shown that the obtained lower bound of the minimum inter-event interval is not smaller than the one using the existing method.
In addition, drilling safety tests, such as formation integrity tests (FIT), and the reports of cementation jobs revealed borehole pressure data indicating the lower bound of the minimum principle stress magnitude.
With less constraints on the transmission time, the minimum value of ET 1achieved by optimizing TTWR1 and TTWR2 is a lower bound of the minimum value of E T by optimizing TTWR, i.e., E T min = min T TWR ( E T ) ≥ min T TWR1, T TWR2 ( E T 1 ) = E T 1 min. Following the analogous procedure as we analyze the OWRT system, we can show that E T 1 min is not a function of β.
In summary, the contributions of this research are several algorithms for estimating the lower bound of the minimum number of recombination events in the history of a sample.
The first one, is of open loop nature and is based on the determination of an upper bound of the minimum dwell time by means of a family of quadratic Lyapunov functions.
We start with the following lemma, which gives an upper bound of the minimum transmit power, given in Equation (6).
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Furthermore, for the case of two selected users, the lower bound of the average minimum power has been plotted using Theorem 9.
A lower bound of the average minimum transmit power is also derived for the two-user case, which may serve to benchmark any user selection mechanism.
In each case the age of the fossil served as a hard bound on the minimum age of the constrained clade.
In this paper we derive a simple lower bound on the minimum distance of codes defined by means of their generator matrices.
This ideal 2D-graphical representation enables an exact evaluation of the lower bound on the minimum achievable start-time as well as the time structure of the control profile.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com