Sentence examples for it was necessary to replace from inspiring English sources

The Grabec model is discontinuous, and it was necessary to replace the discontinuities by sharply varying continuous functions in order to calculate the Lyapunov exponents.

As a result of the widespread destruction wrought by the Gempei War, it was necessary to replace the extensive loss of religious sculpture.

But to make this work, Dr. Steinhardt said in an interview, it was necessary to replace the mathematical Penrose matching rules with new rules based on the interrelationships of real atoms in a quasicrystal.

Bodanzky declared that it was necessary to replace the book title because the film was not exactly the transposition of the book to cinema, but an adaptation inspired on it.

For the purpose of alphabet recoding, it was necessary to replace ambiguous characters in the alignments with non-ambiguous characters.

In order to translate the model presented in Figure 1 into a mathematical model, it was necessary to replace arrows with equations.

And it is necessary to replace all the Palestinian textbooks.

For these results to hold, it is necessary to replace the invariant metric on the coadjoint orbit by a semi-invariant metric.

To translate such "vascular immunotargeting" to clinical practice, it is necessary to replace antibodies by advanced ligands that are more amenable to use in humans.

Therefore, it is necessary to replace them with bioplastics that degrade in a short time when exposed to a biologically active environment.

In some cases, it is necessary to replace these air quality models with source receptor relationships, to mimic in a faster way the link between emissions and concentrations.