The algorithm's optimality was proven through rigorous testing.

通过严格的测试证明了该算法的最优性。

Achieving optimality in resource allocation is crucial for efficiency.

在资源分配中实现最优性对效率至关重要。

The optimality of this solution is evident from the results.

从结果可以看出，这个解决方案的最优性是显而易见的。

The optimality of the process can save both time and money.

过程的最优性可以节省时间和金钱。

We need to ensure the optimality of our design to outperform competitors.

我们需要确保设计的最优性，以超越竞争对手。

Also the simulation results show its optimality.

仿真结果证实了该界的最优性。

Finally, optimality necessary and sufficient conditions for nonlinear convex semidefinite programming are proved.

并给出了非线性半定规划的最优性必要和充分条件.

Optimality conditions for vector optimization problem to attain strictly efficient solutions are considered in the paper.

本文研究向量优化问题在严有效解意义下的最优性条件.

The existence of solutions to the optimality equation is discussed and some sufficient conditions for the existence of solutions are given.

较为详细地讨论了最优性方程解的存在性问题，并给出了其解存在的一些充分条件。

Optimality condition is established for vector extremum problems with constraint by applying the alternative theorem under generalized subconvexlike maps in locally convex spaces.

运用序局部凸空间的广义次似凸映射下的择一性定理．得出带有约束的向量极值问题的最优性条件。