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We also present a generalization of the H2-norm error formula to any projection of dynamics method.
A relative error formula for evaluating the flow losses at steady state caused by the penalty parameter is obtained.
Finally, the fitting error formula of the LCWFC was modified to obtain a more effective tool for the design of LCWFCs for atmospheric turbulence correction.
The synthetic error formula was used to analyze the errors of the experimental system, and the error control method, including a set of error correction formula, was discussed.
We derive a discrete version of Antoulas's H2-norm error formula and show how to adapt it to some special cases.
By using of beam bending theory and strain electric measurement theory, the origins of the errors of the twin-cantilever measuring system were analyzed, and a synthetic error formula of the system was established, which contains four components, the contact offset error, the tilt error, the Abbe error and the implicated error.
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The mean error formulas are derived based on error propagation laws.
Error formulas are also derived for output spectrum estimates from these non-linear systems and for associated non-linear coherence functions.
By means of bias error formulas which are easy to interpret, the results for the rectangular and Hanning windows are compared with each other.
This paper develops normalized random error formulas for special bispectra estimates and associated frequency response function estimates in finite memory square-law systems.
Although there is well-established theory regarding the bias and variance errors of power spectra and random decrement signatures, the theoretical error formulae give only approximate indications of errors inherent to the estimated dynamic properties.
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CEO of Professional Science Editing for Scientists @ prosciediting.com