Now, try this: toggle the sin (t) function off (PART 1) and toggle the function m below. Try to play a little trick on your brain where you turn this entire graph 90 degrees toward your own face, and then imagine these oscillating lines actually wrapping around in a circle like a clock face, kind of like those magic eye books, or that optical illusion where the woman dances clockwise, then counter clockwise. This is what is happening when we wrap the sinusoid function around the real/imaginary plane, where the zero values of the sin function become the i*sin(t) = i * 0.
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PART 5: INTERFERENCE
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m3 is these two sine waves added together. Uh-oh, they cancel each other out! This is why m3 = 0. If you add two identical sine waves M1 and M2 together, where M2 = M1 shifted by pi, you wouldn't hear anything! This is an example of destructive waveform interference. Below is an example of additive interference or complementary interference.
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Check this out! Multiply the following two functions by different random constants and toggle me2. Whoa! What's that?
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