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We show how the Cramer Rao lower bound can be calculated for data obtained from multidimensional NMR experiments.
The outage probability in situation A2 event E is difficult to be obtained using the above method, but the upper bound can be calculated by following the similar analysis in [17].
If we take (p=0), the a priori bound can be calculated as (E=3.1543) according to (2.7), and the regularization parameter (alpha=0.0054, 0.0277) from (4.9) for (varepsilon=0.01, 0.05), respectively.
A bound can be calculated in the following manner.
Hunter's bound can be calculated from relatively simple statistics that are readily learned from a small set of PSMs (about 5000 PSMs).
The upper bound can be calculated by taking the highest possible SP-PCR rate given in this study (3.03 × 10-5) and subtracting the lowest patient prevalence rate [ 24].
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The Flory radii (RF root mean square of end to end length of the polymer chain and radius of gyration) of the covalently bound polymers can be calculated by this formula: RF = aN(3/5) (a = number of monomers) (Lee and Scott= 3.5 Å, N2010).
This Fast Communication fills this lack by using the Weiss Weinstein bound (WWB) which can be calculated under this difficult scenario.
A lower bound for R can be calculated if the concentration of pathogen is as low as the minimum detectable, p = a*.
If the amount of free calcium and free buffer inside the sarcoplasm in equilibrium is known, the concentrations of calcium bound to buffer can be calculated by setting the fluxes of calcium binding and release equal to each other (A.7).
This bound can be derived from the half-duplex cut-set bound in [52].
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