Sentence examples for shown to be equivalent from inspiring English sources

An n-dimensional version of the intermediate value theorem was shown to be equivalent to Brouwer's fixed point theorem in 1940.

All the constraints are shown to be equivalent to LMIs.

In addition, these extensions are shown to be equivalent.

The general problem formulation is presented and shown to be equivalent to an optimal control problem.

The optimization problem is shown to be equivalent to the Multiple Choice Knapsack (MCKP) problem.

The proposed method is shown to be equivalent to the canonical correlation analysis method.

The detection limit of the assay was shown to be equivalent to 5 PPV copies/reaction.

The modified rate constant is shown to be equivalent to Brønsted Bjerrum relation.

The pressure correction equation established is shown to be equivalent to classical methods for incompressible flows.

The scheme is second order accurate and shown to be equivalent to a simple preconditioning method.

The nonlocality is shown to be equivalent to higher-order inertia modelling for the dynamics analysis.