Sentence examples for the key formulae from inspiring English sources

One of the key formulae of quantum mechanics is Heisenberg's uncertainty principle, which shows that the uncertainty in the measurement of a particle's position and momentum cannot both be arbitrarily small at the same time (where is Planck's constant): : \Delta x\, \Delta p \ge \frac{h}{4\pi}.

The key formula that controls the tree-like fractal is the minimum entropy principle, which is also applicable to fracture description.

The key formulas for the microstate probabilities are Equation 5 at equilibrium and Equation 7 away from equilibrium.

Except for this key formula, other mathematical regressions in the PDNN model are based on the multiple pairwise PM/MM probe sets of GeneChip® microarrays.

The following key formula is valid, however, with the additional hypothesis of commutativity for a and b from ℬ: exp ( a + b ) = exp ( a ) exp ( b ).

Students will have to learn key formulae, such as the quadratic formula, sine and cosine rules.

Elimination of this approximation requires use of a model we developed (published elsewhere) for terminal voltage V as a function of electrolyte current density i. Key formulae from this model are presented.

Key formulae for both approaches are in Table 1.

Key formulae can be found in our online documentation (http://genome.sph.umich.edu/wiki/RAREMETAL_METHOD).edu/wiki/RAREMETAL_METHOD

A response surface methodology 5-level-3-factor central-composite rotatable design was applied to study the effects of key formula ingredients including walnut oil (WO, 3 6%, w/w), gum arabic (GA, 5 10%, w/w) and xanthan gum (XG, 0.05 0.15%, w/w) on lipid oxidation in walnut-beverage emulsions.

Focus on the main ideas and learn key formulas.