Sentence examples for by using this expression from inspiring English sources

Exact(3)

By using this expression the crack problem is reduced to a singular integral equation.

By using this expression rate constant can be easily calculated.

By using this expression for the standard error, an inverse-variance weighted (IVW) estimate of the causal effect combines the ratio estimates using each variant in a fixed-effect meta-analysis model: 1The approximate standard error of the estimate is: 2Further terms from the delta method could be used to improve the estimate of the standard error of the ratio estimates.

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By using this optimized expression and purification procedure, milligram amounts of highly pure and polymerization-competent recombinant HIV-1 CA can be produced at the lab-scale and thus used for further biochemical studies.

By using this over-expression and purification system, E. coli PepN can now be obtained in quantities necessary for structural characterization and possibly inhibitor design efforts.

By using this combined gene expression and ALK fusion detection strategy, we developed a multiplexed assay with a quantitative scoring modality that is highly sensitive, reproducible, and capable of detecting low-abundant ALK fusion transcripts, even in samples with a low tumor cell content.

By using this technique, the expression levels of thousands of genes can be analysed in a single experiment.

By using this characterization, an asymptotic expression for the Lebesgue constant for the extended Chebyshev nodes is given by [10] begin{aligned}[b] &Lambda_{n} (hat{T})=frac{2}{pi} biggl(log(n+1)+gamma+log frac{8}{pi} biggr -frac{4}{3pi} +biggr -frac{4}{3pi}beta_{n} < frac{0.01}{log ({(n+beta_{n}}, nge4.

We confirmed that by using this vector rtTA protein expression was undetectable on western blot of transduced muscle cells in the absence of doxycycline (Figure 1).

By using this theory, the corresponding analytical expressions of the elastodynamic fields, total and differential scattering cross-sections, and the dynamic stress concentration factor are presented and their dependence on the characteristic lengths and frequency are examined.

Then, by using this antibody, we confirmed the immunohistochemical expression of Periostin in human periodontal ligament in similar to previous reports.

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