Sentence examples for additional assumptions are necessary from inspiring English sources

In contrast to known approaches, no additional assumptions are necessary for the accurate solution of the considered problem.

However, its application to stability design rules is not straightforward and several additional assumptions are necessary to ensure that a target probability failure is achieved.

Therefore, additional assumptions were necessary to fill those supercodons of the 2-letter codes which do not have amino acid assignments after applying of the parsimony principle to the standard code given the list of early amino acids (1).

Additional EP assumptions are necessary to preserve balanced transversions when the k-th taxon is ignored.

Learned assumptions are necessary to support effective simplifications.

To prove our main results, the following assumptions are necessary.

Of course, some assumptions are necessary.

Assumptions were necessary to minimise computational cost.

A series of assumptions was necessary to simplify the process.

In completing the exposure assessment, the following assumptions were necessary.

Several additional assumptions were made.