Middlebrook RD (2006) The general feedback theorem: a final solution for feedback systems. IEEE Microw Mag 7:50–63 Google Scholar Unbehauen R (1972) Synthese elektrischer Netzwerke. Oldenbourg Verlag, German
A theorem (developed by Nyquist in 1928) which states that two samples per cycle will completely characterize a band-limited signal; that is, the sampling rate must be twice the highest-frequency component. (In practice, the sampling rate is ordinarily from five to ten times the highest freque...
By applying Bayes' theorem and combining the likelihood function from (4) with the joint prior from (7), we can obtain the posterior distribution of the parameters \(\alpha \) and \(\beta \) denoted as \(\pi \left(\alpha ,\beta |x\right)\), which is proportional to the likelihood...
Theorem 1. Consider a relation of size N and let {y1, y2, . . . , yN} be the set of values associated with the tuples in the relation. Let U be a uniform random sample of the yi's of size n. Then the sample mean {overscore (y)}=1/nΣyiεUyiis an unbiased estimator of...
” The presence of outliers causes a large “variation” in the aggregate values which is directly proportional to the standard error in sampling as demonstrated by the following theorem. The theorem quantifies the error for estimating aggregate queries that calculate sum or average of values ...
In this approach, the control design framework is separated into two parts as discussed in Section . The first part of the framework involves solving a set of LMIs given in Theorem 1. The number of LMIs (denoted as nT) can be determined bynT=∑i=1N2(Ni+1)+1,which will increase ...
algorithms running in time O⋆,k(13/75+o(1))m, (Theorem 21). There is little technical complexity involved in these extensions: the generating-function approach elegantly takes care of all the bookkeeping. Working with PCSPs adds little overhead beyond that for working with CSPs as long...
” The presence of outliers causes a large “variation” in the aggregate values which is directly proportional to the standard error in sampling as demonstrated by the following theorem. The theorem quantifies the error for estimating aggregate queries that calculate sum or average of values ...