Sentence examples for known formulas from inspiring English sources

Many large pharmaceutical corporations would rather tinker with known formulas than risk the health of their users and the financial well-being of their companies.

Along with some new results, all known formulas for the adjoint obtained so far follow easily as a consequence, some in an improved form.

It turns out that some known formulas including (1.10) and (1.11) are deduced as special cases.

Four more or less widely known formulas are listed in the following lemma (see, e.g., [3, 5]).

Also, we offer some numerical computations to prove the superiority of our formula over other known formulas.

The results derived here are generalizations of the corresponding known formulas involving the classical Bernoulli, Euler, and Genocchi polynomials.

The conductivity value of the proposed baths is 161 188% higher than that of a known formula.

It is a well known formula to all who have worked on this issue for a generation.

Predictions of these proposed formulae were compared with existing well known formulae using experimental data and statistical methods highlighting the simplicity and importance of the proposed formulae.

These also give formulae for the logarithmic gradient of the corresponding heat kernels, extending and giving a very elementary proof of Bismut′s well known formula.

By analyzing the known formulae, we find it possible to reexpress them as functions of column balance, and also as functions of Hamming distances of the rows.