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Tianyu Zhang
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1. Separate
Definition
Competitive Definition
Reference
Convex Analysis, Rockafellar RT, Chapter 3 Section 11(Definition)
Functional Analysis, Sobolev Spaces and Partial Differential Equations, Haim Brezis Chapter I(Competitive Definition)
Related Topics
- Definitions
- Theorems/Corollary/Propositions/Lemmas
2. Properly Separate
Definition
Reference
Convex Analysis, Rockafellar RT, Chapter 3 Section 11
Related Topics
- Definitions
- Theorems/Corollary/Propositions/Lemmas
3. Strongly Separate
Definition
Remark
Not every pair of disjoint closed convex sets can be separated strongly.
Reference
Convex Analysis, Rockafellar RT, Chapter 3 Section 11
Related Topics
- Definitions
- Theorems/Corollary/Propositions/Lemmas
4. Strictly Separate
Definition
Competitive Definition
Reference
Convex Analysis, Rockafellar RT, Chapter 3 Section 11(Definition)
Functional Analysis, Sobolev Spaces and Partial Differential Equations, Haim Brezis Chapter I(Competitive Definition)
Related Topics
- Definitions
- Theorems/Corollary/Propositions/Lemmas