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1. Let A = {1,2, 3,..., n} (a) How many relations on A are both symmetric and anti-symmetric? (b) If R is a relation on A that is anti-symmetric, what is the maximum number o
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Sketch several trajectories for the system, x 1 ' = x 1 + 2x 2 x 2 ' = 3x 1 + 2x 2
what is the least number of faces and bases the paperweight could have?
compare: 643,251: 633,512: 633,893. The answer is 633,512.
If the distances from origin of the centres of 3 circles x 2 +y 2 +2alphaix= a 2 (i=1,2,3) are in G.P. , then length of the tangents drawn to them frm any point on the circles x2+
We have independent observations Xi, for i = 1, . . . , n, from a mixture of m Poisson distributions with component probabilities d c and rates l c, for c = 1, . . . ,m. We decid
How to Find the range of a function ? Sigh. Students ask me this all the time. They don't want an explanation, they want a procedure. "Tell me the steps!" Unfortunately, th
assignment on income tax
A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left over. When he increased the size of the square by one
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