Sentence examples for assumptions is provided from inspiring English sources

The set of governing equations including the according assumptions is provided.

Theoretical proof of existence and uniqueness of the solution under proper assumptions is provided.

In Section "System model and assumptions", the OFDMA system model together with the channel model and system assumptions is provided.

Some reassurance in past simplistic assumptions is provided here in that the spatial variability is seen to be relatively small and/or described by roughly similar depth profiles (hence, idealized assumptions are not as bad as they could first seem).

At the end of the section a shortlist of assumptions is provided.

Details of model structure, input parameters and sexual mixing assumptions are provided in the Supplementary information.

Proofs of stability and error convergence under idealized assumptions are provided for the discrete-time case using a proposed algorithm, where parameter projection into a "stable" parameter set is utilized.

In Section 2, some basic notions, preliminaries and assumptions are provided.

Bui and Laugesen have proven that the frame operator of a wavelet frame (not necessarily a wavelet basis) is bijective on Lebesgue spaces if some assumptions are provided [37].

In the main text, biological interpretations of the parameters and assumptions were provided on several occasions.

Details of the models and their assumptions are provided in Methods.