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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.
1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3. a. Design a Huffman codebook for these symbols.
Coefficient of Correlation Denoted There are two methods which measure the degree of correlation among two variables these are denoted by R and r. (a) Coefficient of correl
vwertical and horizontal
to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?
How many relations are possible from a set A of 'm' elements to another set B of 'n' elements? Ans: A relation R from a set A to other set B is specified as any subset of A
Well, my uncle want me to tutor him in mathematics. But, the problem is I don''t know what he already knows about math. It for his Compass Test when he go back to school in the spr
Eliminate the parameter from the subsequent set of parametric equations. X = t 2 + t Y = 2t - 1 Solution: One of the very easy ways to eliminate the parameter is to
use only the digits 1,2,3 and 4 in any order to write an expression for the numbers 1 to 100. you may only use each digit once. You may use exponents of 1,2,3 and 4 in some of th
what is trecnametry
In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125 o ) An s:
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