Sentence examples for and and the initial from inspiring English sources
In this paper, we consider the nonlinear difference equation,, where with and and the initial values with.
where are positive integers,, and the initial values,, are in a class of fuzzy numbers, under some conditions has unbounded solutions, something that does not happen in the case of the corresponding ordinary difference equation (1.8), where are positive integers and, and the initial values,, are positive real numbers.
To establish the relationship with standard optimization terminology, the model space and and the initial model define the feasible set, and the data together with the error function define the objective function.
By considering and and hypotheses on the initial data, for all and, we obtain (3.29).
EMB helped to college and manage data and helped write the initial and final manuscript.
"They did some editing and some production work and sent around the initial tracks and we all realised we'd done something quite special there," said drummer Dave Rowntree.
Co and Ce are the initial and equilibrium amounts, respectively.
FE, US and AR reviewed the initial and final manuscript.
ENO, JPM and MAV drafted the initial and final manuscript.
DK performed the statistical analysis and DK and LR prepared the initial draft of the manuscript.
CHV drafted the original framework and CHV and MW wrote the initial draft.
