Sentence examples for formula expression from inspiring English sources

In this paper, an extensive investigation on the RCMC accuracy is provided by establishing an accurate formula expression between the range cell migration error and the residual range-dependent phase error.

An elegant direct proof, based on the comparison of a smooth simple closed curve with a circle, was given by Schmidt in 1938 by using only the arc length formula, expression for the area of a plane region from Green's theorem, and the Cauchy-Schwarz inequality [2].

Moreover, the system does not need to require a data owner to pick up some special keywords before constructing keyword index structures, e.g., least frequent keyword, but also it only leverages a DFA structure to embed flexible search expressiveness, e.g., "AND, OR, NOT," unlike that of only limited in "a keyword AND (formula)" expression.

The formula expression of the performance index of PSII activity was well explained in reference [ 22].

Δ Ct was compared to control samples using the equation ΔΔ Ct = (Δ Ct sample –Δ Ct control) and fold changes in target gene expression were calculated using the formula, expression fold change = 2(−ΔΔCt).

The Ct values were transformed using the following formula: expression score=2(40− C t), and the calculated data were uploaded into GeneSpring GX version 7.3.1 software (Silicon Genetics, Redwood City, CA, USA) as described previously (Ichimi et al, 2009; Kano et al, 2010).

According to the problems presented when using the method (A. Moreira, et al, 1996) to process spotlight SAR data, full formula expressions suitable for high squinted angles is presented.

The math formula expressions below are mainly adopted from [ 40, 41].

The log-transformed value of each individual's periodical IFN-α values (y) was plotted versus age (x) and fitted to two quadratic formula expressions (y=mx+n and y=ax+bx+c), as shown in figure 1.

Using the derived formulas and expressions of output power, insertion loss and crosstalk, detailed design and optimization are performed.

These formulas lead to expressions for map functions, coincidence functions, IBD probabilities as well as closed form expressions for tetrad multilocus probabilities.