Sentence examples for calculations in this case from inspiring English sources
This is not the case though for the interior estimate, Theorem 1.2, which for example is new for the cost function c ( x, y ) = | x - y | - 2. For explicit calculations in this case the reader is referred to [8], as well as [20].
However, the analytical calculations in this case can be performed in the same fashion as above.
We used Fue for the oxidative DEHP metabolites (MEHHP, 0.23; MEOHP, 0.15) from a study of one adult man given three single oral doses of D4-DEHP; the estimated Fue for MEHP was 0.06 (Koch et al. 2005b), about half the value used in the calculations in this case study.
However, marginal changes in service provision can be addressed using these results by way of calculating marginal rates of substitution as in a traditional discrete choice experiment (although the obvious lack of linearity in the utility of waiting time requires more complex calculations in this case).
In Eq (4), t x is the time at position x, v x is the velocity at position x, E x is the electric field at position x, and dx is the step size of the calculation, in this case 0.01 mm.
We next performed the fitting calculation, in this case, fitting subunit atomic models into a simulated density map generated from a known atomic model of a complex structure.
The 'sphere packing' calculation in this case naturally involves measuring the resolution of perception in terms of the stimulus, but its validity is not a consequence of this measurement alone.
The raw data has been filtered previously [ 16], and these smoothened data for all metabolites but X 6, were directly used for the concentration slope calculation in this case study.
We perform Singular Enrichment Analysis (SEA) [ 59] in the absence of the traditional gene expression information (thus no p-value calculations apply in this case) using as input the GO terms for the 13 wheat genes in cliques of size 10 and the whole Ensembl Plants wheat GO set as reference.
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