Sentence examples for known formula from inspiring English sources

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

A dominant solution resulted from by means of the known formula for linearly independent solutions.

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

We will investigate only the case since the solution of (1.1) for is given by the known formula for.

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.

There is a more than 40% enhancement in cathodic current efficiency by using the proposed Bath 2 versus the known formula.

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.

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

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

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

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