Sentence examples for using the mathematical expression from inspiring English sources

qt versus the square root of time t 1/2 using the mathematical expression: q_{t} = k_{text{id}} t^{1/2} + C. (6).

Relative quantitation of gene expression was carried out using the mathematical expression described recently [27].

To estimate the net benefit for the treated in a case-control study, one may thus use the mathematical expression given in the previous section, that is (9) (10) Similarly, the net benefit for the untreated can be estimated as (11) (12) and the overall net benefit as (13) If the true prevalence is unknown, the net benefit is a function of both the personal threshold p t and the true prevalence π0.

We determined expression using the mathematical model described by Pfaffl (2001): where Ct is the cycle threshold.

Each CR's satisfaction expression is formulated using the mathematical programing method.

The relative expression levels of all genes were calculated using the mathematical model of Pfaffl (2001).

The carbon (C) stock estimates of individuals were calculated using the following mathematical expression, where V was estimated based on equations 4, 5, 6 and 7: C = V * D * BEF * 1 + R * T (3).

Finally, a composite indicator method was used to construct the SVI for each year using the following mathematical expression: {text{SVI}} = mathop sum limits_{i}^{n} pm {text{NI}}_{i}where NI is the normalized indicator considered for the computation of the index.

The 1/ e lifetimes (t1/ e ) of EPFRs were evaluated using the following mathematical expression for the first-order decay: Rate constant k was found from the slope of the correlation between logarithm of radical concentration change (R/ R0) vs time, and 1/ e lifetime was calculated.

Using this mathematical expression, we can investigate the tsunami generation process from the viewpoint of velocity distribution and ocean-bottom pressure, in addition to the water height at the surface.

The mathematical expression used for the model is a product of variable power laws of dimensionless numbers.