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a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x - y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain the partition of V induced by R.
b) Let A = {1, 2, 3, 4} and define R on P(A) -{Ø} by xRy iff x ∩y ≠Ø. Is R an equivalence relation? Describe
Properties of Integration
One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer? Let x = the greater integer and y = the lesser int
where will we use least cost method
The locus of the midpoint of the chords of an ellipse which are drawn through an end of minor axis is called
If a^n+1 + b^n+1/a^n + b^n is the arithmetic mean of a and b then find n. Answer:Arithmatic mean of a,b is =(a+b)/2 from the problem (a+b)/2=(a^n+1 +b ^n+1)/(a^n+b^n) then (a+
Give an examples of Simplifying Fractions ? When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form,
What do we mean by the roots of a quadratic equation ?
The probability that a certain region in mexico will be hit by a hurricane in any given year is .06. What is the probability that the region will be hit by at least one hurricane i
Adding Rational Expressions with Common Denominators To add or subtract fractions or rational expressions with common denominators, all you do is add or subtract the numerators
Tchebyshev Distance (Maximum Travel Distance per Trip Using Rectilinear Distance): It can be calculated by using following formula: d(X, Pi) = max{|x - ai|, |y - bi|} (Source
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