Sentence examples for introducing the equation from inspiring English sources

where we have taken into account the formulas in Equations 56 and 62. Introducing the Equation 67 into the Euler-Lagrange equations in Equation 61 and re-grouping the terms in order to emphasize the value in Equation 66, we obtain the formula in Equation 65.

Moreover, the outcomes of apoptosis and necrosis can be explained without this assumption, by deleting equation 33 (Table  1) which models level 2 pore opening via sustained [Ca2+]i increase and by introducing the equation PMCht = PMCht+1 prolonging the opening of plasma membrane channels over the simulation time.

10) In Materials and methods ("Quantifying microtubule organisation and the transverse stiffness of spindle"), when the buckling force F is introduced, the equation given corresponds to a beam with constant cross-section along the beam.

First we introduced the equations for calculating the Group Error Rate (GER).

In Section 2, we introduce the equations governing the atmospheric circulation with magnetic field and also give the bifurcation theory.

In the first part we will introduce the equations which govern the spatial and temporal behavior of τ (r, t ) in the presence of PT excitation, thermal diffusion and flow-dependent heat convection.

We begin with introducing the controlled equation.

We begin in Sect.  2 by describing the simplified modelling domain before introducing the governing equations and boundary conditions for each region in Sects.

We have recently introduced the map equation to simplify and highlight important structures with respect to the dynamics on networks.

We begin with introducing the conventions used in the equations.

The pressure gradients are removed from the equations by introducing the stream function and vorticity.