Applied Mathematics 2277A/B Study Guide - Winter 2019, Comprehensive Final Exam Notes - Order Of Australia, Page 3, Amplitude Modulation

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Note: if a function is continuous on its domain, it integratable on its domain. We say that the domain d in the xy-plane is y-simple if it is bounded by two vertical lines. Similarly, d is x-simple if it is bounded by horizontal lines. If something is bound by a horizontal line and a vertical line, it is both x-simple and y-simple. If something is neither x-simple or y-simple, it is called regular. These domains are usually able to be broken down into subdomains that are either x-simple or y-simple. So since we"re changing the variables which represent the domain. another way of saying that is that we"re changing the coordinate system in which the function exists and the function responds accordingly. It"s basically like when you have an logarithmic function in xy axis and it forms the logarithmic shape, but then if we put it in a logarithmic axis, the function responds by becoming a straight line.

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