Sentence examples for formulae needed for from inspiring English sources
But it remains the fact that the thermodynamic predictions are independent of atomic considerations once it is recognised that the chemical formulae needed for them can be, and were, obtained and interpreted in a way independent of atomism.
Lacroix felt that with Unbreakable TNA "truly cemented the formula needed for delivering great pay per views".
PS and PV jointly derived the formulas needed for genomic MACE and constructed the examples.
You will not be given the formulas you need for answering the questions, so as you study for the mathematics portion, make sure that you memorize the most essential trigonometry, algebra, geometry, formulas and understand how to apply them.
The notation needed for the formulas is given in Table 1, and the formulas themselves are given in Table 2. Qin and Hotilovac determined that the Mann-Whitney interval with Logit transformation (in the following abbreviated as LT) has good coverage probability [ 9], therefore the LT interval serves as main reference here.
The Feynman-Kac formula on the Wiener space needed for this construction is also proved.
Formulas for the number of terms needed for convergence have also been derived for both the spectral and the spatial series that appear in the Ewald method and are found to be accurate in almost all cases.
Further data needed for DALY estimation (Formulas 4 and 5, Table 1) were compiled and processed.
Michael Strain, an influential economist at the American Enterprise Institute, said Laffer's formula needs an update for Republicans to win.
While there is no mathematical formula for what constitutes the needed critical mass of states and critical mass of public opinion needed for national resolution, to maximize our chances of prevailing as we advance, we must continue to make gains on both fronts.
