Question and Answers Forum
Set TheoryQuestion and Answers: Page 5
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Question and Answers Forum |
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Set TheoryQuestion and Answers: Page 5 |
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| show that if A⊂R^m and B⊂R^n are compact sets. then A×B={(a,b)∈R^(m+n) :a∈A and b∈B} |
| Master comes after Chess disappeared. Boyka comes after Master disappeared. BK comes after Boyka disappeared. What comes after BK disappeared? 1. A−Team 2. Girlka 3. Bezirksschornsteinfegermeister 4. none from above [A question from NMO 2019 in Madagascar] |
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| f(x)=(1/((4x^3 ))^(1/5) ) find f^ ′(x) with using lim_(h→0) ((f(x+h)−f(x))/h) |
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| z^4 −2z^2 +2=0 |
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| If R be a relation on a set of real number defined by R={(x,y): x^2 +y^2 =0}, find i− R in roster form ii−Domain of R iii−Range of R |
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| Known set A⊆R not empty, If Sup A=Inf A, then set A is.. |
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| a≦7⇒P(!∃x_a )=0, b≦9⇒Q(!∃y_b )=0 for a, b∈N And A⊋A′: A={(x, y)∣P(x)∙Q(y)=0}=A′, B_(∈A) ={(x, y)∈A∣x=y} Then ∀t∈N: ∣B∣=n(t)=f(P(x), Q(y)), also only t can be in [N, M]. find M. :( |
| Let A and B be sets. Prove that A = B if and only if A ∪ B = A ∩ B |
| For A = {1, 2, 3}, let B be the set of 2−element sets belonging to P(A) and let C be the set consisting of the sets that are intersections of two distinct elements of B. Determine C P(A) = power set of A |
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| Given p is primes and A={−(m/n)−p(n/m) ∣ m , n ∈N} find sup A |
| A={(m/n)+((8n)/m) : m, n ∈ N} N= natural numbers supremum ? infimum? |
| Show that A−B = B′ ∩ A. |
| Prove that A∪A^c =A |
| If n(A)=15 and n(B)=25, (a) What are the greatest and least values of n(AuB)? (b) What are the greatest and least value of n(AnB)? (c) Draw Venn diagrams to illustrate the four situations in (a) and (b) above |