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When the data contain noise, the rank of the Hankel matrix will increase.
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(4) The study [2] indicates that supporting multiple H-matrices will increase the memory demand.
In such cases, state transition probabilities will depend on the originating states and the rank of the state-transition matrix R will increase.
By entering these covariates in the means model and in the covariance matrix, heritability will increase and, as a consequence, the power to find genes by linkage and association studies will increase, although the effects of each covariate on the genetic and environmental component may be different.
That is, using the whole Σ matrix for embedding will increase embedding capacity but will lead to severe distortion in imperceptibility (inaudibility) of the watermarked audio signal.
The extension to higher order tensors is possible using the same strategy (the dimension of the the information matrix in (13) will increase to (n + 1)(n + 2)/2).
Also, estimation of the covariance matrices Qk and Rk will increase the number of parameters and hence may affect the size of the network the EKF can fit.
In the practical applications, a more general form synchronization, called modified generalized projective synchronization (MGPS), where the drive and response systems can be synchronized up to a transformation matrix that is not diagonal, will increase the complexity of the synchronization and further increase the diversity and the security of communications.
A possible explanation is that the MRL mitochondrial genomes are more densely arranged within the matrix, therefore the DNA content will increase without increasing the membrane protein amount.
With decreasing soil matrix potential from a dry soil, the utw will increase exponentially until a soil matrix potential of –1.5 MPa occurs, at which no soil deflation takes place.
An increase in the solid matrix porosity or burner firing rate will increase the efficiency of the preheating zone, while increasing the inlet gas temperature or matrix pore density will cause a reduction in this efficiency.
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