An upper bound of the mean-square drift enabling the efficient and rather accurate evaluation of the mean-square drift is also derived by the use of the Cauchy Schwarz inequality.
The former is determined such that the corresponding mean-square drift of a single-degree-of-freedom model attains its maximum under the constraint on mean total energy.
It consists in representing the root mean square random drift errors of a measurement as a function of averaging times.
Also, it provides acceptable responses in terms of inter-story drifts, root mean square of base displacements and floor acceleration.
The root mean square errors (RMSE) in the vertical drifts during the post sun-set hours computed between the IRI vertical drift model and Ionosonde measured values are found to be 13.54, 21.68 and 22.39 m/s for summer, equinox and winter seasons respectively.
The objective function is given by the sum of the mean squares of interstorey drifts under random input.
On the right, values for estimated drift parameters (Ads and A′ds), root mean square (RMS) and correlation coefficient (CC).
The drifts are entirely downward between 2000 and 0500 LT bin for both techniques and the root mean square error (RMSE) between the modeled and the ionosonde vertical plasma drifts during these periods is 3.80, 4.37, and 4.74 m/s for June solstice, December solstice and equinox, respectively.
The results show that the maximum drift of all the laser beams is 26 μm (root mean square), which is less than 30 μm and satisfies the stability demand.
The stability is confirmed by the low structural drift of the protein over the second half of the simulation with root mean square deviations for Cα atoms of 1.64±0.10 Å, 1.88±0.14 Å, 1.05±0.06 Å, for the whole protein, the ECD and the TMD, respectively.
Rood mean square (r.m.s).
