Sentence examples for use the approximations from inspiring English sources

Use the approximations (55) and (56) in place of the originals (32) and (33), and use the linearizations in (57) to calculate (36) and (37).

To do so, we multiply the respective momentum equations by the electron or proton charge, sum, and use the approximations (44) to obtain begin{aligned} xi left( frac{m_p}{e} right) ^2 frac{1}{rho } left[ frac{partial mathbf{J} }{partial t} + nabla cdot ( mathbf{J U} + mathbf{U J} ) right] = frac{m_p}{e rho } left( nabla P_e - mathbf{J} times mathbf{B} - xi nabla ( P_s + P_p) right.

We now use the approximations of Equations 11 and 12 to simplify the results given above for the highly polymorphic limit.

We use the approximation in (12).

We can use the approximation as in (10).

In this case, we can use the approximation (39).

2, and can also use the approximation (8) if desired.

for j = 1, …, M and use the approximation (Equation 19).

We use the approximation for the signal phase as in Eq. (18).

If we consider the network within E. coli, one can use the approximation that 1 molecule corresponds to a concentration of 1 nM.

We will use the approximation of weak non-specific binding throughout the paper.