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Some of the recent improvements are nice through their symmetric form, but these inequalities have also practical importance, because they provide some bounds for a given expression.
Our method propagates the uncertainty resulting from a small collection of data measurements, which may contain information for only a subset of the model states, through time to estimate parameter and state bounds for a given system model.
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A computer program was written to obtain optimum die design which yield the lowest upper-bound for a given reduction in area, die length, its off-centric positioning and the frictional conditions.
To investigate the optimum shape of the designed extrusion dies, that yield the lowest upper-bound for a given reduction in area, die length, off-centric positioning and frictional conditions a computer program was developed.
The concept of finite time stability of delay differential equations arises from the fields of multibody mechanics, automatic engines and physiological systems as introduced by Dorato [22], which characterizes the system state by not exceeding a certain bounded for a given finite time interval and this seems more appropriate from practical considerations.
This allows us to evaluate the influence of the range of soft bounds used for a given data set, irrespective of possible errors in fossil calibration dates.
The AO algorithm is guaranteed to converge as the WSR is increasing in each iteration and it is bounded above for a given power constraint.
Given two consecutive annotations b i and b i+1, the coordinates of the bounding box for a given time t=t j are mathbf{b}_{j}=left(frac{t_{i+1}-t_{j}}{t_{i+1}-t_{i}}right) mathbf{b}_{i} + left(frac{t_{j}-t_{i}}{t_{i+1}-t_{i}} right) mathbf{b}_{i+1}.
As shown in Figure 2, B is bounded above for a given M and σ w > 0, and hence the minimum A satisfying the condition (13) is greater than the supremum of B obtained with the given M and σ w > 0. For example, when M = 1, the supremum of B is equal to 0.5, and A satisfying the condition (13) with B = 0.5 is A ≃ e2, which is greater than P T ( 1 ) = 1.
We achieved this by searching for family-specific sequence motifs on ERVs that belonged to the predicted spectrum of most strongly bound states for a given tandem of zinc-fingers in a protein.
We want to set up the bounds for rho for a given, phi and theta.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com