Sentence examples for equation demonstrates the from inspiring English sources

The following equation demonstrates the mean variance function for each scenario.

The analysis of the hydraulic radius estimated by fitting the liquid imbibition data to the LW equation demonstrates the impact of the porosity as well as the tortuosity of the pore channels on the liquid uptake performance.

The Langmuir equation demonstrates the amount of DBT adsorbed and its concentration in solution is given in Eq. (3): c e q e = 1 ( q m b ) + ( 1 / q m ) c e (3)where qe (mg g−1) is the amount adsorbed at equilibrium concentration Ce (mg L−1), qm (mg g−1) is the Langmuir constant representing maximum monolayer capacity and b is the Langmuir constant related to the energy of adsorption.

Although Wenzel's equation demonstrates the contact angle of a rough surface is different from the intrinsic contact angle, it does not describe contact angle hysteresis.

Simulation results using a spatially-varying heat equation demonstrate the satisfactory performance of the proposed control design method.

The resulting RMSE of 0.86 and correlation coefficient of 97% of the proposed equation demonstrated the capability of the computer program (CP) generated by GP.

Results for a simple linear model problem of the two-dimensional heat equation demonstrate the ability of the goal-oriented approach to target a particular output functional of interest.

Numerical experiments performed on a parameterized quasi-1D Euler equation demonstrate the ability of the proposed method to ensure not only global conservation, but also significantly lower state-space errors than nonconservative reduced-order models such as standard Galerkin and LSPG projection.

For the ion-exchange processes indicated above, the following equations demonstrate the relations of the materials present under the conditions of equilibrium: In these equations, the constant K1 is a pure number without units (such as feet per second) because the units on the right side of the equation cancel.

The generated equations demonstrated the empirical relationship between the dependent and independent variables for each response.

Numerical experiments involving transient computations of two-dimensional scalar convection to steady-state solutions of Euler and Navier Stokes equations demonstrate the capabilities of the new procedure.