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Unformatted text preview: the time-integral identity to the transform pair for n to obtain the transform pair for n + 1. L t n − 1 ( n − 1)! = 1 s n C O NC EP T U A L TOOLS By: Neil E. Cotter STATISTICS STUDENT'S OR t-DISTRIBUTION Derivation (cont.) We apply the time-integral identity: L τ n − 1 ( n − 1)! d τ = τ n n ! t ∫ = 1 s ⋅ 1 s n or L t n n ! = 1 s n + 1 This equation matches the form of the transform pair, and the proof is complete ....
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- Spring '12
- transform pair, dτ, time-integral identity