Sentence examples for were proved for from inspiring English sources

Two octahedral Fe3+ positions with close isomeric displacements and quadrupole splittings were proved for plain cement using Mössbauer spectroscopy.

Cantilevers and parameters were proved for proper work by scanning the surface of a cover slide.

First complete convergence results concerned probabilities; later, such results were proved for moments as well.

We follow Dreseler and Soardi (1982) and Markett (1983) papers, where such inequalities were proved for classical orthogonal expansions.

By using the P-property, some best proximity point results were proved for various classes of non-self-mappings.

Moreover, in [22] necessary and sufficient conditions for inequalities (9) and (10) were proved for matrix operators with a matrix ((a_{i, j}^{(n)})) which satisfies (11).

Interesting properties were proven for the compounds of the entire series.

Uniqueness is proved for a regular solution.

Conditional stability and error estimates are proved for the scheme.

Next, under proper assumptions, asymptotic stability is proved for constant commands, while bounded stability is proved for varying commands.

Analogous results are proved for the stochastic Burgers equation.