Sentence examples for be derived and solved from inspiring English sources

Using data at two time steps this then allows equations to be derived and solved to give explicit expressions for the required function.

The static and linearized dynamic governing equations are derived along the local tangential and normal directions and it is shown that in this form two simpler equations can be derived and solved asymptotically for both small and large sag cables, horizontal or inclined.

From the generalized quasi-3D HSDT (which involves the shear strain functions "f" and "g" and therefore their parameters to be selected "m" and "n", respectively), infinite six unknowns' hybrid shear deformation theories with thickness stretching effect included, can be derived and solved in a closed-from.

Coupled ODEs are used here because they have been traditionally used, they can deal with large numbers of molecules and, with the framework described here, they can be derived and solved with relative facility.

If the number of detection channels is equal to the number of the investigated fluorescence targets a completely defined system of equations can be derived and solved to calculate the unknown concentrations.

This method avoids the requirement of storing the angular flux at previous points in time to represent a discretized time derivative; instead, an equation for the angular flux time derivative along 1D spatial characteristics is derived and solved concurrently with the 1D transport characteristic equation.

Difference equations for the expected discounted dividends are derived and solved.

The two sets of equilibrium equations are derived and solved in a completely coupled manner.

A system of nonlinear differential and integral equilibrium equations is derived and solved using numerical continuation.

Using Euler Bernoulli theory, governing equations are derived and solved in every mode.

Utilizing Hamilton's principle governing equations of motion are derived and solved analytically.