Sentence examples for previous derivations found from inspiring English sources

The theoretical predictions invalidate previous derivations found in the literature.

A more detailed derivation of these equations can be found in e.g. [7, 8].

By using the previous derivations, we can still find s 1 k ∈ ( 0, 1 ), such that the power 1 − s 1 k P n k can be saved from subcarrier k in each cell n while keeping the WSMR of the system non-decreased.

This new derivation is more systematic and simpler than previous derivations.

The previous procedures found no malignancies.

Based on our previous derivation and analysis, we draw the following important conclusions.

The previous derivation forces the last inequality involved to become an equality.

Patients involved in our previous derivation study were excluded [ 14].

Previous analyses had found a similar pattern.

Newton's derivation is found in Section IX of his Principia, specifically Propositions 43 45.

When applying such weighted Cox models in the initial risk model derivation, we found similar slight bias.