Sentence examples similar to demonstrated equation from inspiring English sources

Both of the demonstrated equation-free algorithms successfully compute the correct dynamical states, confirming that a few PC expansion coefficients are appropriate coarse-grained dynamical variables, enabling the description and the dynamical analysis of the large ensemble of neurons at that level.

Thus, it is impossible to completely eliminate the influence of buffer strain on stress relaxation in the SL because, as demonstrated in Equation (4), thermal strain is non-zero for these structures.

In summary, we have demonstrated that Equation (4) is a fundamental condition that is satisfied by any chemical process operating in a steady state in dilute solution.

To circumvent the problem, the strategy demonstrated in Equation 5 can be followed, as outlined below.

Tests of 10,000 replicates demonstrated that Equation 3 was an unbiased estimator of the true standard deviation of the global distribution and was insensitive to both the type of distribution used and variation in sample size (data not shown).

(P1) In [2], it was demonstrated that equations with positive coefficients has slowly oscillating solutions only if it is oscillatory.

The elastic response of cross-section is first demonstrated through equations, as well as graphical representation of stresses in concrete, steel, and composite section.

Using this approach, the CKD-EPI equation and the Jelliffe-1973 equation demonstrated less means of the difference than the other equations.