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However, since in practical situations systems are more complex, the parameters of interest are no longer scalar random variables and they need to be represented by random matrices.
Let the positions of the two nodes A and B be represented by random variables defined below, where k is the side length of the square.
The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented by random coefficients in a given deterministic basis.
The dispute rate (i.e., the rate at which some sort of transaction failure takes place that is sufficient for the traders to dispute the proper functioning of the market and its transactions. This will be represented by random variable ( tilde{mathrm{D}}left(mathrm{t},mathrm{r}right) ) which depends on the time of the transaction t and time between failures r. 2.
Trial effects will be represented by fixed effects whilst treatment effects will be represented by random effects in an attempt to reflect the assumed similar (but not identical) treatment effect across trials.
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Its chemical structure is represented by random arrays of aromatic rings linked by long, aliphatic chains.
In the reliability analysis of structure, uncertain parameters, such us load magnitudes, the axial stiffness of bars, coordinate nodes are represented by random variables.
One of the sources of uncertainly is represented by random experimental error, which may occur during a standard test in wind tunnel, such as the high frequency force balance (HFFB) test.
Geometrical and mechanical properties of a three-layered sandwich beam with a visco-elastic core made of 3M ISdampingmpolymerlymer are represented by random fields to model the spatial variability.
We present a fully deterministic approach to a probabilistic interpretation of inverse problems in which unknown quantities are represented by random fields or processes, described by possibly non-Gaussian distributions.
A mistuned structure is represented by random transfer matrices, and the expansion of these matrices in terms of the small mistuning parameter leads to the definition of a measure of sensitivity to mistuning.
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be summarised by random
be ruined by random
be treated by random
be obscured by random
be eliminated by random
be invaded by random
be elicited by random
be determined by random
be disrupted by random
be allocated by random
be extended by random
be achieved by random
be programmed by random
be obtained by random
be handled by random
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