Sentence examples for required the process of from inspiring English sources

Levi-Civita's construction of infinitesimal parallel transport on a manifold required the process of embedding the manifold into a flat higher-dimensional metric space.

Rather than being raised re-actively when required, the process of raising auxiliary troops was carried out in advance of conflicts according to annual targets.

For all of the precision that presidential campaigns require, the process of selecting a nominee is dictated by a haphazard set of rules that vary by state.

"If you're going to require the process of having someone prove that they are who they say they are, I would think you'd want to get it right," he said.

In 1918, Weyl generalized Levi-Civita's concept of parallel transport by means of an intrinsic construction that does not require the process of such an embedding, and is therefore independent of a metric.

Newly transplanted islets require the process of angiogenesis to establish adequate blood supply for survival post transplantation.

As shown in this equation, the MV filter criterion does not require the process noise of the motion model, unlike the Kalman filter-based approach [15-17] [15-17]

The separation of different kind of plastic particles is required in the process of waste recycling.

He said pushing the button is "just one of many functions that are required in the process of killing someone".

Acidification of lysosomes is also required for the process of autophagy [17].

Rat LIF was not absolutely required during the process of ICM growth.