Sentence examples for this equation simplifies from inspiring English sources

For large k this equation simplifies to Eq. (20).

Once we have discretized the partial differential equation, solving this equation simplifies solving the quadratic (13).

If we assume (boldsymbol {Omega }=Omega hat {mathbf {z}}) where Ω is constant, this equation simplifies to frac{partial mathbf{u}}{partial z}=0.

For DNA with a single site, this equation simplifies to a single-site binding isotherm (nH = 1).

When T e =  Tmax, this equation simplifies to give D(T e =  Tmax) =  z/ r, a direct relationship between D and z dependent on the scanning rate.

The valence-sum rule [equation (6)] may be rearranged to For coordination environments in which all bonds are of the same length, this equation simplifies to where is the mean bond length and is the mean bond valence.

For rigid hypersurfaces the zero-curvature equation simplifies to (4).

and the first Navier-Stokes equation simplifies to become (7).

The upshot is that for these forms ( phi (t)) the integrability equation simplifies drastically; the result is summarized in the following definition.

Under steady-state conditions, the dynamic mass balance equation simplifies to: S v = 0     (Eq. 6) Since the number of reactions is often greater than the number of metabolites, Eq. 6 is underdetermined and contains multiple solutions.

Using this technique, we are able to forgo inverting a singular integral equation, simplifying the analysis.