Sentence examples similar to the succeeding equation from inspiring English sources
These results are useful to evaluate some other integral equations in the succeeding sections.
If the diplomatic part of the equation succeeds and Saddam Hussein disarms, the Americans can still claim a victory for their forcefulness (the regime has changed -- isn't that regime change?), while the French can claim credit for their wisdom.
As a result, the proposed equation succeeds in noise suppression as well as edge preserving and shows better performance than state-of-the-art PDE-based methods and variational regularization methods.
As h distributes (by Equation 33) over the concatenation of these lists, the proof succeeds with an extra application of Equation 33.
This test employs the z score equation, which uses the number of samples where one of the algorithms failed and the other succeeded, i.e., the performance discrepancies.
It was reported that this empirical equation succeeded in correlating all the experimental data for n between 0.4 and 1.0.
Raichel's new equation succeeds because it prioritizes creative new music, with the message of peace flowing from the sound.
Vilhelm Bjerknes and his associates at Bergen succeeded in devising equations relating the measurable components of weather, but their complexity precluded the rapid solutions needed for forecasting.
That was the winning equation: Countries that follow it succeed in joining the nuclear club; those that don't fail.
Verification of the constitutive equations is succeeded for an aluminum alloy AK4-1T and a superalloy René 95, respectively.
