奇妙的 max-min ineqality 学术专区 mathoptimization 168 views 1 replies Anonymous Coward Old #1 · 2023-07-28 ✍️ 5 The max-min inequality For any function f:X×Y→R: f: \mathcal{X} \times \mathcal{Y} \rightarrow \mathbb{R}: f:X×Y→R: maxx∈Xminy∈Yf(x,y)≤miny∈Ymaxx∈Xf(x,y) max_{x \in \mathcal{X} } {min_{y \in \mathcal{Y} } {f(x, y)}} \le min_{y \in \mathcal{Y} } {max_{x \in \mathcal{X} } {f(x, y)}} maxx∈Xminy∈Yf(x,y)≤miny∈Ymaxx∈Xf(x,y) 好的里面挑差的总是比差的里面挑好的要好。 Siyuan Wu #2 · 2023-07-28 满足弱对偶性。
Anonymous Coward Old #1 · 2023-07-28 ✍️ 5 The max-min inequality For any function f:X×Y→R: f: \mathcal{X} \times \mathcal{Y} \rightarrow \mathbb{R}: f:X×Y→R: maxx∈Xminy∈Yf(x,y)≤miny∈Ymaxx∈Xf(x,y) max_{x \in \mathcal{X} } {min_{y \in \mathcal{Y} } {f(x, y)}} \le min_{y \in \mathcal{Y} } {max_{x \in \mathcal{X} } {f(x, y)}} maxx∈Xminy∈Yf(x,y)≤miny∈Ymaxx∈Xf(x,y) 好的里面挑差的总是比差的里面挑好的要好。
