Sentence examples for is proved by solving from inspiring English sources

The effectiveness of the algorithm for constraint problems is proved by solving three constraint test problems.

Secondly, Theorem 3 is proved by solving equations in the PMP.

Efficiency and accuracy of present formulation is proved by solving several benchmark problems.

As a corollary, the commutant lifting theorem of Sz.-Nagy and Foia§ is proved by solving a completion problem.

The robustness of the algorithm in terms of both solution quality and computational cost is proven by solving four design optimization problems of side sway steel frames.

This is proven by solving a coupled set of enthalpy flow conservation equations for the two-fluid solar wind system consisting of primary and secondary protons.

Theory is proved by simulation.

Each architecture is well-suited to solve a particular task efficiently, which is proven by a detailed evaluation.

Obviously, these methods have been proved by many researchers to be powerful tools in solving boundary value problems [11].

Not as trivial as it sounds: it took almost a hundred years before his conjecture was proved by an eccentric Russian mathematician, Grigori Perelman, who then dramatically refused the million dollar prize for solving it.

"These practices have been proven by time".