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Tests for an Ideal Index Number
1. Factor Reversal Test
Factor Reversal Test indicates that when the price index is multiplied along with a quantity index that is factors are reversed, it should result in the value index.
2. The time reversal test
If we reverse the time subscripts of a quantity or price index, the result must be reciprocal of the original index.
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Definition Assume that f(t) is a piecewise continuous function. The Laplace transform of f(t) is denoted L{ f (t )} and defined by, There is an optional notation for L
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