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Under the null hypothesis of equal contact matrices, the ratio of estimates of (R_{0}) is expected to equal 1.
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These occurrences may be associated with a relation between extensional strength of the sandstone blocks and viscosity of the shale matrix, the ratio of competent material to incompetent material, and the effect of fluid on the deformations in the ductile mélange stage.
For each matrix, the ratios obtained for the analytes were ranked, and extreme results were eliminated sequentially until the overall average showed a coefficient of variation of no more than 20%.
The SVD of the matrix G will be computed as G=U S V T, where S is a 4×2 diagonal matrix and the ratio of the diagonal elements in S (i.e., S 11/S 22) represents the energy of the dominant gradient.
The nanocomposite particles were introduced into a transparent silicone matrix and the ratio of ZnO to SiO2 was adjusted to maintain the transmittance in terms of the filler-matrix refractive index matching principle.
For matrix C, the ratio ( raisebox{1ex}{$M$$} left/ !raisebox{-1ex}{$K$$}right.approx raisebox{1ex}{$zeta W$} left/ !raisebox{-1ex}{$T$$}right. ) is mainly decided by ζ.
The results showed that an increase in hydrophilicity of the polymer matrix and the ratio of ethyl to butyl acrylate, and incorporation of acrylic acid as termonomer helped in finer dispersion of silica and prevented macrophase separation.
This transfer matrix relates the ratio of the Laplace transformed forms of the time functions of the pressure and of the velocity perturbation at two points in a hydraulic section.
The sensor comprises a surfactant-modified zeolite A (SMZ) as a modifier, dioctyl phthalate (DOP) as a plasticizer, and PVC matrix in the ratio 10 60 30 (modifier:DOP PVC) (w/w).
To account for correlations among successive months, we determined the effective number of CO2 observations in each latitude band assuming an autoregressive (AR1) model and inflated the posterior error covariance matrix by the ratio of actual to effective sample size.
To develop an eco-engineering assessment system based on these parameters, we used a matrix of the ratios of comprehensive cost to comprehensive profit (RCC/CP), where the RCC/CP index matrix WCC/CP is defined as the index optimization matrix of CC divided by the index optimization matrix of CP.
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