(S^{0}) expresses the input concentration of nutrition, (d+kx) stands for the dilution rate of the turbidostat system.
We express the entrepreneurial input by the function (g q)), increasing in (q).
It is well known that transform-based codecs are inadequate to efficiently express the speech input signals, especially at low bitrates [8, 9].
Alternatively, we can express the same input-output relation by the length- M·(P+1) state vector begin{array}{*{20}l} mathbf{z}_{n}&=left[mathbf{h}^{mathrm{T}}_{n},a_{1,n} mathbf{h}^{mathrm{T}}_{n},ldots,a_{P,n} mathbf{h}^{mathrm{T}}_{n}right]^{mathrm{T}} end{array} (23).
A typical analytical model mathematically expresses the Multiple-Input Multiple-Output (MIMO) channel matrix as a function of a random Gaussian-fading matrix and various channel correlations or steering vectors, without specifying any value for these parameters.
The output spectrum of a linear dynamic system can be expressed as the input spectrum multiplied by the system frequency response function.
Inspired by machine learning, FLAFs typically express the input/output relation of (5) differently: instead of individual branch signals, all branch signals are interleaved and concatenated to a larger expanded vector, which is mapped to an echo estimate by linear combination (covers both convolution and summation in (5)).
Two principally different ways of rearranging the general mobility matrix into corresponding effective mobilities, useful for expressing the vibratory power input to the receiving structure, are investigated theoretically.
The FLS is characterized by a set of fuzzy rules which are fuzzy conditional statements expressing the relationship between inputs (error and change of error) and outputs.
In this sense, the feature (input) space reduction is realized by a wrapper algorithm, where the objective function guiding its development of the input space expresses the performance of the resulting fuzzy model.
