An LMI procedure based on the latter method is then developed to obtain high-order robust linear filters, which are shown, via an example, to achieve significant performance improvement over the full-order filter.
As an example, to achieve the total synthesis of a moderately complex molecule it may require 100 times more reactions than appear in the final route, largely due to reactions not working as expected and requiring development, or a change in the route.
For example, to achieve an estimate of the mean with a standard error of 10% of this value, 90 measurements would be required.
For example, to achieve a higher polypectomy rate, an extra biopsy could be taken.
For example, to achieve a 99% detection sensitivity, an average sequencing depth of 50 or 60 would be required for the regions containing one or four SNVs.
For example, to achieve a detection rate of 0.95 and a false positive rate of 6 × 10−6 by a 10-stage cascade, the performance goals of each stage include a detection rate of 0.995 (0.99510 ≈ 0.95) and a false positive rate of 0.3 (0.310 ≈ 6 × 10−6).
For example, to achieve a 95% probability (π(n) = 0.95) of obtaining an F1 carrier, we subtract 1 from both sides of equation (1), divide both sides by −1, take the logarithm of both sides of the equation, and rearrange to obtain n = ln0.05/ln(1−1/r).
For example, to achieve an increase of 50% in the CO2 dissolution rate, 1 kg of NP is needed to dissolve 3 kg extra CO2 for an example case at 1 km depth.
For example, to achieve a BER value of 2×10−2, the required SNR in the PS scenario is SNR=16 dB and in the asynchronous scenarios (b), (c), and (d) the required SNR is respectively equal to 18, 21, and 27 dB.
Example: to achieve a BER of 1.3×10−2, the asynchronous nonlinear system requires a value of SNR equal to 24 dB (When SNR η =12 dB) while the asynchronous system without HPA nonlinearities requires only 19 dB of SNR, which means a loss of 5 dB in the transmitted signal power for the former.
If for some reason, for example to achieve a robust bistable response, positive feedbacks are necessary, they should preferably not be interlocked, i.e. the feedback family should comprise only 1-regular SCCs ( <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0008001.e098.PNG" class= inline-graphic"/> ).
