Sentence examples for authors formulate from inspiring English sources

In this paper, the authors formulate a free and forced vibration analysis algorithm for frame structures using the transfer dynamic stiffness coefficient method.

In this paper, the authors formulate and study a strategy to also have the embedding dimension vary, therefore providing full adaptive input space capabilities.

Starting from the properties of volumes enclosed by the minimum number of surfaces, the authors formulate, with little calculus, new simple laws, which enable them to discover a set of configuration factors for caps and various segments of the sphere.

Therefore, the authors formulate this problem as a linear programming optimization problem.

In [10], the authors formulate the k-hop interference model as a k-valid matching problem in a network graph.

The authors formulate the problem as a nonlinear stochastic constrained optimization problem and provide an efficient analytical solution based on Lagrange dual decomposition framework.

Based on these observations, the authors formulated the hypothesis that behavioural change which improved children's hand hygiene compliance would decrease the spread of infectious diseases.

The authors formulated this problem as a sellers' market competition.

Many authors formulated the divided possibility as follows: 'A standing man can sit at another time'.

The authors formulated a self-assessment version which was not considered in this study.

All aforementioned authors formulated optimization problems to obtain their routing solutions.