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1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even. 2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2. 3.let r>0 and S={x in R^3:(x1)^2+(x2)^2+(x3)^2<(r)^2} show that diam S=2r.4.let x=(x1,...xn) in Rn.show that (? k=1,n xk)^2<=n|x|^2.
Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.
one bathroom is 0.3m long how long is a row of 8 tiles
(a) Assume that A is a m 1 ×m 2 matrix and B is a m 2 ×m 3 matrix. How many multiplications are required to calculate the matrix product AB? (b) Given that A 1 is a 20 × 50 m
Consider the finite state machine whose state transition table is : Draw the graph for it. Ans: The graph for the automata according to the transition table is drawn b
The measures of the angles of a triangle are in the ratio of 3:4:5. Evaluate of the largest angle. a. 75° b. 37.5° c. 45° d. 60° a. The addition of the measures of t
The next thing that we must acknowledge is that all of the properties for exponents . This includes the more general rational exponent that we haven't looked at yet. Now the pr
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8^N*2^2N/4^3N
The Invisible Effort : Although the development of children is a process, what is noticed and given recognition to is the end-product. We usually speak of children having achieve
mention the characteristic of mathematic
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