The monotonicity of a scalar function is equivalent to the positivity of its increments and to the convexity of its integral. I sometimes feel that this high-school mathematical statement alone underlines the entire algorithmic tractability of modern information engineering. And replacing “scalar function” with “system” defines a largely open research program in control.

中文翻译：

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四分之一个世纪的协方差交集：相关性仍然未知？[讲义]


标量函数的单调性等效于其增量的正性和积分的凸性。我有时觉得，仅凭这个高中生的数学陈述就强调了现代信息工程的整个算法可处理性。用“系统”替换“标量函数”定义了一个在很大程度上处于受控状态的开放研究计划。