Sentence examples for are established when from inspiring English sources

Convergence properties of these methods are established when the matrix in question is either M-matrix or symmetric matrix.

Error bounds for the symplectic structure are established when N fixed-point iterations or N iterations of Newton's method are used.

15 Relevancy and materiality for the purposes of production and inspection, with a view to use on cross-examination, are established when the reports are shown to relate to the testimony of the witness.

The conditions for the creation of nodes of normal modes of vibration from the cancellation of poles and zeros are established when either the poles or the zeros (or both) appear as repeated eigenvalues.

Exact formulae for the spectral density of the energy flow through the joint, the energy dissipated at the joint, the power input by the external excitation and the vibrational energies of the two plates are established when the plates are subject to random ergodic forcing.

The change in the molecular weight of the gas during the reaction was shown to result in the non-uniqueness of stationary filtration regimes that are established when the flows with different values and directions of the rate are possible at the same external parameters.

Conversely, only 9 significant differences were established when apple was the food stimulus.

This expression was established when transpiration is the only driver of the vineyard water balance.

A more powerful connection to Judaism was established when he visited Israel in 1984.

Furthermore, a convergence theorem is established when the monotonicity assumption on the mapping is removed.

The failure load is established when crack propagation in the facesheet becomes unstable.