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if f(t) has period T then f(kt) has a period T/k. What is a simple proof of this.
The discussion centers on the mathematical property of periodic functions, specifically that if a function f(t) has a period T, then the function f(kt) has a period T/k. This conclusion is derived by evaluating the function at f(k(t + T/k)), demonstrating that the periodicity is preserved under the transformation of the variable. The proof is straightforward and relies on substituting the transformed variable into the function to show that the periodic behavior remains intact.
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