Sentence examples for concrete formulae from inspiring English sources

Starting from some proposals advanced in the literature about economic structures and cycles, three concrete formulae are considered.

The concrete formulae above are consequences of a more general mathematical duality called Pontryagin duality.

By not providing a concrete formula, the government is inviting companies to save themselves a bundle at employees' expense.

As for the concrete formula, we omit it here.

The following proposition provides us with a concrete formula for the analysis operator.

Then, the problem is to find a concrete formula for each term of the expansion.

For (beta=-frac{1}{p}), the cosine system is minimal since, as was proved above, the coefficients (B_{n}) are found by concrete formulas in the form of an integral.

end{aligned}A concrete formula of (h_{{mathbb {D}}^*} z_1,z_2)) can also be given but its form is not so convenient [cf. (3.3) below].

The model works on the basis of the final element method and also by appropriate way takes into account the concrete formula, treatment and also climate impacts.

In this context Breiner and Müller (2015) focused on development and transfer of adapted concepts and concrete formula (based on locally available materials) to optimize the construction of those cisterns.

By using this description, when the polytopes are Delzant lattice, a concrete formula for each term of the expansion in two dimension and a formula for the third term of the expansion in arbitrary dimension are given.