Given a set L sR", Following are true statements regarding conv L(convex hull of L):

Q: الموضوع : Ex: 4.3. Show That the sets Z\Y and Y/x disjoint, and 7\x=67 U Tet x ≤ y ≤ 7 be three sets…

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Q: spac (a- Open and not closed, b- closed and not open, c- open and closed, d- Not open and not…

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Q: 1. Let A, B abd C be sets. Prove that Au (B-C) = (AUB) - (C-A).

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Q: Consider the lollowing inner prodact or R 2 by, % ニaメ, X X. + 2. Cし3)上63) oa tb = ?

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Q: (E, Q4: state and prove L is a normed space ? e a ne. Vila a convex set.

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Q: Theorem anan ompty subsotsof_CRr+r)is-asubringafR- ifand onlyik@ a-bes,Vabos O ab-es,Ha,bES

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Q: Show this collection of subsets a partition of A UBUC {A – (B U C), B – (A U C), C – (A U B), ANBN…

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Q: 7. Let B₁, be the set of bitstrings of length n. Describe a bijection f: P({1,2,...,n}) → B₁.

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Q: (b) If WCU, prove that (Recall that U+W = (c) If U + W = U, prove that WCU. U + W = U. = {u+w|u€ U₁w…

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Q: Let A, B, C be subsets of X. show that Av (Bnc) - (AUB)n (AUC) AnCBUC) = (ANB)~ (ANC)

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Q: bijective Show That There is map from CCA) to PCA).

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Q: an be cauchy, prove why a subsequence of (an) must also be cauchy.

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