Sentence examples for assumptions are necessary from inspiring English sources

Learned assumptions are necessary to support effective simplifications.

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

The chapter explains why the simplifying assumptions are necessary in naval-architecture practice.

We also showed how such assumptions are necessary premises of the stated arguments.

These assumptions are necessary for evolution by natural selection (Futuyma 1998).

Metaphysical assumptions are necessary for the task of incorporating aporias into a framework able to make sense of them.

However, several simplifying assumptions were necessary so that the simulations could be performed.

Except for those assumptions associated with slow axial movement and Euler's beam theory, no further assumptions were necessary.

These assumptions were necessary in order to analytically tune the system to be in the region of a critical regime.

Assumptions were necessary to minimise computational cost.

A series of assumptions was necessary to simplify the process.