Sentence examples for shown equations of from inspiring English sources

As it is shown, equations of state lead to densities with an uncertainty (AAD) more than 3%.

Figure two shows regressions of the spore diameter (y) plotted against the number of nuclei in juvenile and mature spores (x), while in the text we showed equations of linear regressions of the number of nuclei (y) plotted against the spore diameter (x) for each AMF species.

This would require showing that equations of motion for the planets could be solved and the orbits of the planets shown to be curves that stay in a bounded region of space for all time.

ESM Table  2 shows the equations of the curves of the correlations between the individual organs and body weight after best-fit comparison statistics.

As shown, the equation of motion of such a system can be rearranged into a state equation with symmetric coefficient matrices.

That is because Einstein's equation showing the equivalence of mass and energy allows the violence of collisions in the machine to be turned into a particle.

A P-V diagram would show the equation of state in graphical form for several different temperatures.

It is shown that the equations of motion pertaining to the semi-discrete shell formulation can be written in the form of differential-algebraic equations (DAEs).

Moreover, it is shown that the equations of the observer can be put under an adaptive form emphasizing thereby its versatility to include several available adaptive observers.

For instance, the estimates given below may be modified to give a hierarchical estimator as shown in equation (6) of (Theobald and Wuttke, 2006a) or equation (10) of (Theobald and Wuttke, 2008).

The result of this algorithm is a linear combination F ^ of base procedure estimates, as shown in Equation 7 of the main text.