lec8:

slater 条件

Note

\(relint\)：相对内部

\(aff\)：仿射包

\[ {\rm relint\ }D = \{x\in D | B(x, r)\cap {\rm aff\ }D \subseteq D, \exist r > 0 \} \\ \exist x \in {\rm relint\ }D, f_i(x) < 0, h_j(x) = 0 \]