Peng Zhou

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blog:2023-08-30 [2023/08/31 07:24] – created pzhoublog:2023-08-30 [2023/08/31 07:36] (current) – pzhou
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 Great. Given $\eta \in (V^\perp)^*$ and $\xi \in V^*$, we look at the fiber $V_\eta$ and $(V^\perp)_\xi$, they are partitioned by the restriction of the sign partitions in $\R^N$ and $(\R^N)^*$.  Great. Given $\eta \in (V^\perp)^*$ and $\xi \in V^*$, we look at the fiber $V_\eta$ and $(V^\perp)_\xi$, they are partitioned by the restriction of the sign partitions in $\R^N$ and $(\R^N)^*$. 
  
 +Feasible is dual to bounded. So the two sides has the same collection of feasible and bounded.
  
 +Consider the Lagrangian $(V \oplus V^\perp)_{\eta, \xi}$ intersecting with the diagonal sign blocks in $T^*\R^N$. 
 +
 +I still don't know why we have this correspondence of bounded and feasible chambers. But we do, and the two linear spaces $V$ and $V^\perp$ can be really different. 
  
  
  
  
blog/2023-08-30.1693466676.txt.gz · Last modified: 2023/08/31 07:24 by pzhou