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Assume that (X, d) is a metric space and let (x1, : : : , xn) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , xn) obtained by removing every xi from X is open in X. (Sketch a picture to get some intuition!)
Velocity : Recall that it can be thought of as special case of the rate of change interpretation. If the situation of an object is specified by f(t ) after t units of time the vel
Q. How many permutations can you make of the word STATISTICS? Solution: There are 10 letters in the word STATISTICS, i.e. n=10. Three of them are S's, so n 1 =3, three are T'
Cluster Sampling Cluster sampling is where a few geographical regions for illustration, a location, village or town are selected at random and say every single household or sho
how to you find the difference between different line plots
Which of the partially ordered sets in figures (i), (ii) and (iii) are lattices? Justify your answer. Ans: suppose (L, ≤) be a poset. If each subset {x, y} consisting
Scalar Equation of Plane A little more helpful form of the equations is as follows. Begin with the first form of the vector equation and write a vector for the difference. {
Following are some examples of complex numbers. 3 + 5i √6 -10i (4/5) + 1 16i 113 The last t
Determine the matrix of transformation for the orthogonal projection onto the line L that passes through the origin and is in the direction Û=(3/13 , 4/13 , 12/13). Determine the r
how to do it
Consider the wave equation utt - uxx = 0 with u(x, 0) = f(x) = 1 if-1 ut(x, 0) = ?(x) =1 if-1 Sketch snapshots of the solution u(x, t) at t = 0, 1, 2 with justification (Hint: Sket
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