Consider the class C of all intervals of the form (a, b), a, b ∈ R,...

Consider the class C of all intervals of the form (a, b), a, b ∈ R, a < b and ∅. Show that C is closed under finite intersections but not under complementations or unions. Hint: to show closure of finite intersections, it is enough to prove closure for intersections of 2 sets.

Expert Solution

milcah answered 1 year ago

Let X = R and A = {disjoint union of the intervals of the form (a,...

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V=[(a b), a,b E R+] with (a1 b1)+(a2 b2)=(a1a2 b1b2)and for c E R, c(a b)=(a^c...

V=[(a b), a,b E R+] with (a1 b1)+(a2 b2)=(a1a2 b1b2)and for c E R, c(a b)=(a^c b^c) is a vector space over R. Define T:R^2 to V by T[a b]= (e^a e^b). prove T is a linear transformation from R2 to V.

Consider a class with 3 sections denoted as A, B, C. Let the number of students...

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Let the schema R = (A,B,C) and the set F = {A → B,C → B}...

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Consider the Potential V(r) =Vo (c/r) exp (-r/c) (where c is a constant) and a deutron...

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MIPS a) Consider the C statement: a = (b + d) + (b - c) +...

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