The Information Level

在此基础上，提出了信息化程度复杂性研究的继续方向。总结了基于信息的复杂性在许多学科和领域中的应用。提出了六个新的研究方向：*随机和平均环境下多元积分的最优信息*随机化与积分信息的能力*随机信息在特征值问题中的应用*在平均情况下求解非线性方程组的最优信息*噪声信息*混合环境下的最优信息。在前三项中，我们将探索是否可以通过使用随机性或平均大小写设置来打破难解性或不可计算性。在第四章中，我们提出了研究平均情形下的非线性平均方程。五是研究了信息有噪声时的最优信息量和计算复杂度。最后，我们要开始研究混合环境下的最佳信息。

The continuation of research on the information level of information based complexity is proposed. The application of information.based complexity to problems in many disciplines and areas is summarized. Six new research directions are proposed: *Optimal Information for multivariate integration in the random and average settings *Randomization and the power of integral information *Applications of random information to eigenvalue problems *Optimal information for solving nonlinear equations in the average case setting *Noisy information *Optimal information in mixed settings. In the first three of these we will explore whether we can break intractability or noncomputability by using randomness or an average case setting. In the fourth we propose the study of nonlinear average equations in the average case setting. The fifth is the study of optimal information and computational complexity when the information is noisy. Finally, we would like to initiate the study of optimal information in a mixed setting.