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Considering the final conditions triplet (s 5,t f,Δ v), we use the relative distance in Eq. (35) as the error metric, where (hat {x}) is the triplet of final conditions obtained with the optimization approach and (tilde {x}) is the triplet of final conditions obtained with the (hat {Delta v}) approximation, in which Δ v follows the expression in Eq. (49).
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for a given preview time T: Open image in new window (2)subject to imposed initial conditions on all state variables Open image in new window (3)on final condition of selected state variables Open image in new window Open image in new window (4 and inequality constraints (i.e. physical limits): Open image in new window (5).
The quantified limit of detection of the final conditions, using an 8 mm disc punched out of FTA Elute paper, with 100 μL elution volume and 10 μL in the PCR, was a median of 14 S. pneumoniae GE/μL spiked mock CSF (IQR 5.5), equivalent to a median mock CSF concentration of 230 cfu/mL (IQR 65).
It is worth noting that the use of loose final conditions helps in the assessment of uncertainties on parameters and simplifies the model formulation, reducing the computation time.
One after another, the clinically moved teeth of the final conditions (T2 and Clin T2) were superimposed with the initial situation (T1) using a surface/surface matching algorithm.
The hip and foot trajectories are generated based on cubic polynomial interpolation of the initial and final conditions of the biped robot's position, velocity and acceleration.
This is a necessary but insufficient condition of ergodicity, since it depends on the choice of initial and final conditions.
Also, interfacial phenomena are of prime importance for getting a better insight of biomineralization and for following the behavior of biomaterials in or close to their final conditions of use.
We developed a mathematical model to describe the amount of macroscopic compaction of cell-populated collagen gels in terms of the initial cell and collagen densities, as well as the final conditions of the pericellular environment (defined as the pericellular volume where the collagen is compacted (V∗) and the mass of collagen within this volume (m∗)).
The guidance law has the ability of generating new trajectories online according to the current states and the final conditions of the landing point.
The final conditions consisted of adding 1 mL of water to 1 g of sample followed by the headspace SPME for 20 min at 100 °C, using PDMS/DVB as fibre coating.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com