Sentence examples for corresponding to the given from inspiring English sources

Thus, the task of checking if a piece of text is a proof of a given formula corresponds to checking if the term that represents the proof has the type corresponding to the given formula.

In this work we prove the non-triviality and irreducibility of the harmonically induced representation corresponding to the given data.

By minimizing the energy function, our approach offers the ability to mimic desirable and pleasing wrinkle shapes corresponding to the given material properties.

The method is based on spectral representation in the form of Fourier amplitude spectra of seismic waves, corresponding to the given three-component translational accelerogram.

The only information which is required to provide a measure of bond directionality is the total charge density corresponding to the given metal or alloy.

In the first case, a hypothesis corresponding to the given matrix is regarded as a tautology, which is to be proven directly.

Table 10 gives the ANOVA for all 27 values of grade corresponding to the DOE given in Table 4.

In this section, we provide numerical results corresponding to the examples given in Section 6.1 and Section 6.2.

The layer is so directly anodized at the voltage corresponding to the period given by the NIL and according to Equation 1.

Proof The eigenvalues of the Jacobian matrix corresponding to the system given in (2) at the point ( 1, 0 ) are λ 1 = 1 − r and λ 2 = 1.

A search algorithm corresponding to the recommendations given by the PubMed website [ 12] to help students find relevant literature was provided.