Sentence examples for using the equations for from inspiring English sources

Improved mechanical compressive and tensile strengths according to the strain-rate were considered in the analysis by using the equations for the dynamic increase factor (DIF) of the UHPFRC, as suggested by Fujikake et al. (2006b, 2008).

Using the equations for system (3), we can express system (4) as begin{aligned}& frac{dP}{dt} = P biggl -a biggl -a^ bigl P-P^c {bigl P-P^+dZ^+eP^Z^-frac{bigr1+fracZ+ePZ} biggr), & frac{bZ^{dt} = Z biggl(frac{gP(t-tau)Z(t-tau)}{Z(1+cP^+dtau )+dZ^+eP^Z^-frac{bZ}{Z(t-tau))} & hphantom{frac{dZ}{dt} =-frac {gP^{1+cP+ddZ+ePZ}Z^ biggr).

Figures  1C and D were obtained using the equations for pH in and pH out given above.

In Eq. (12) we calculated the global error on the mean for a linear system using the equations for its true and numerical solutions.

When the patients were discharged from the ICU, data were entered into the clinical database by one of the ICU physicians (HF) and processed using the equations for the SOFA score.

By using the equations for the system kinetics (see Methods), one can derive the following (exact) relation: (0.3) Δ [ p ] = - λ u λ p Δ [ u ] Note that the minus sign indicates that the decrease in the number of unprocessed transcripts (pre-crRNA), leads to an increase in the number of processed transcripts (crRNA).

The data for PALDH and ECLDH were interpreted using the equation for mixed type inhibition, whereas the data for FNLDH were interpreted using the equation for competitive type inhibition.

The data that indicated significant competitive-type and mix-type inhibition were interpreted using the equation for competitive-type (Equation 3) and mix-type inhibition (Equation 4), respectively.

The data that indicated significant substrate inhibition were interpreted using the equation for substrate inhibition (Equation 2) (Eszes et al. [1996]).

The data for FNLDH, PALDH, and ECLDH were interpreted using the equation for competitive-type, mix-type, and noncompetitive-type inhibition of allosteric enzyme.

The air density (ρ a ) varies with elevation and is recalculated at each point in the trajectory using the equation for a perfect gas.