3. Convexity I Flashcards

1
Q

Definition 3.1
Convex set.
Convex body.

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2
Q

Lemma 3.2
Three properties of convex sets.

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3
Q

Definition
Convex hull.
Convex combination.

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4
Q

Lemma 3.4
conv(S) = {…}

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5
Q

Definition
Hyperplane
Half-spaces

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6
Q

Lemma 3.8
C non-empty convex with x \notin C…

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7
Q

Theorem 3.10 (Hyperplane Separation Theorem)

A
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