Sentence examples for using the above expressions from inspiring English sources
The critical frequency of a typical composite honeycomb sandwich panel obtained using the above expressions match well with experimental results.
Experimental data from a cake filtration of fibrous cellulose particles in water is evaluated using the above expressions.
From the moments P i, using the above expressions is possible to get the moments W i of the sample covariance matrix.
By using the above expressions, the effects of number of transfer units, the inlet temperatures of the cooling medium and the heating medium on exergy efficiencies of the gas-hydrate cool storage system are emphatically analyzed.
Using the above expressions for ( tilde{g};(x) ) and ( {left tilde{g}(x right)}^, ) after simplification, we obtain frac{-left[xkern0.5em +kern0.5em {left tilde{g}(x right)}^right]}{tilde{g}(x)}kern0.5em =kern0.5em -frac{left nkern0.5em +kern0.5em 1right);x}{n;left 1kern0.5em +kern0.5em frac{x^2}{n}right)}.
In response, Spurs fans decided not to ignore this, not to retaliate in kind, but to say effectively: "OK, if you want to call us that, we will take on the identity of Jews and support and acclaim our team using the above expression and variants of it".
Using the above expression in inequality (3.9), we obtain the estimate (3.12).
Furthermore, a one-dimensional unsteady and steady-state heat transfer model that includes the physical processes radiation, conduction, and chemical decomposition was developed using the above expression for the reaction rate.
Nonlinear optimization technique was used to minimize the difference between the theoretical volume fraction calculated using the above expression and the experimental volume fractions computed using the 3-D plots of the data from SEM/EDS microanalyses.
Using the above expression and the numbers of the earlier scenario (but with a stay length equal to 5 min), the collaborative Server resultant traffic will be 1.12 Kilobits per second (Kbps).
Using the above expression for the equi-affine perimeter, we see that this implies that G L / G S = A L 1/3/ A S 1/3 where A L and A S are the areas of the large and small ellipses, respectively.
