Sentence examples for foregoing equation from inspiring English sources

The elimination half-life was calculated using the standard equation as described by Galbaldi and Perrier (1982): The peak TCDD measurement between July 1976 and July 1977 served as the initial value (A) in chronological sequence (A→B→C→D), and data pairs (A B, A C, A D) were used to calculate half-life by the foregoing equation.

By applying the Galerkin method to the foregoing equations, the buckling pressure and frequency parameter of truncated conical shells are obtained from these equations.

Essentially Foster's approach is the introduction of a new trial function, (varphi_{1}) in the foregoing equations, since other researchers use the ordinary wavelet transforms.

By applying the Galerkin method, to the foregoing equations, the buckling pressures, fundamental cyclic frequencies and corresponding wave numbers of FGM conical shells are obtained.

Then, foregoing equations are solved using the Superposition principle, Galerkin and Semi-inverse methods and the frequency- amplitude relationship is found.

The matrix A and B were the foregoing matrixes in equation (5).

In the next section we attempt to solve the foregoing sets of equations according to the boundary conditions and acquire numerical results, considering the generalized Bohm criterion.

Solutions of group-classification problems are given for subclasses of equations of the foregoing type governing stability and vibration of rods, fluid conveying pipes and plates resting on variable elastic foundations.

From the foregoing analysis, it becomes clear why the H-P equation has a stronger dependence on the radius than does the resistance in Ohm's law, which is only proportional to 1/ A. The difference comes from what is physically (and biologically!) significant in the two cases.

for the case of (ii -differentiability (where 0 < d ≤ p such that equatii -differentiabilityined, i.e., the foregoing Hukuhara differences do exist), converge uniformly to twhereique solutions X ˆ ( t ) and X ˜ ( t ) of (3.1), respectively, on [ a, a + r ] where r = min { p, d }.

spring mass system by two massless equivalent springs with spring constants k v eq,iandk v eq,k, and then the foregoing natural frequencies and normal mode shapes for the bare" beam are in turn used to derive the equation of motion of the "loading" beam (i.e., the bare beam carrying any number of two-d.o.f. spring mass systems) by using the expansion theorem.