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The division algorithm says that when a is divided by b, a unique quotient and remainder is obtained. For a fixed integer b where b ≥ 2, consider the function f : Z → Z given by f(a) = r where r is the unique remainder obtained when a is divided by b.
(a) What is the range of f? Based on your answer, is f onto?
(b) Determine whether f a 1-1 function.
The index of industrial production This is a quantity index compiled by the government. This measures changes in the volume of production in main industries. The index is a ex
Given A and B A = | 1 0 1 | B = | 1 1 0 | | 1 1 0 | | 0 1 1 | | 0
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functions f&g on R to R such that f=\g but fog=gof
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Find out if each of the subsequent series are absolute convergent, conditionally convergent or divergent. Solution: (a) The above is the alternating harmonic ser
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