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According to the approximated linear relationships between static responses and random variables, the probability density functions of static responses are obtained by the change-of-variable technique.
According to the approximated linear relationships between the response and the random variables, the change-of-variable technique is introduced to calculate the response probability density function.
In the present context, we approximated linear gradients of 10 mPand000 m and 100 °C/1000 m (Marks et al. 2010, Fig. 3).
The dependences of XRD parameters, c0, Lc and La, on DR were clearly different on the three cokes, particularly the dependence of c0 on DR being approximated linear.
Firstly, for an assigned operating condition, a power system approximated linear model is build-up which represents the system dynamics as seen from the busbar at which the controller is connected.
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But wavelet approximations fail miserably, in terms of model parsimony, if used for approximating linear or mildly nonlinear systems.
Since the problem originates from a processing step, which approximates linear convolutions with circular convolutions, in frequency-domain BSS, we call it "circular convolution approximation problem".
The correlation method approximates linear dependence by calculating the sample correlation [ 35] of two columns of S. The sample correlation is given by (13) where (14) (15) (16) In equations (13)–(16) corr(S. i, S. j ), cov(S.
Because linear algebra is such a well-developed theory, nonlinear mathematical models are sometimes approximated by linear ones.
In the neighborhood of the controllable equilibrium, all nonlinear systems are approximated to linear controllable system.
Numerous problems in engineering can be described or approximated by linear relationships.
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CEO of Professional Science Editing for Scientists @ prosciediting.com