The advantage of the well-known Fourier analysis technique is its ability to distinguish weak from strong signals in a complex scientific event. Here a modification of the Fourier technique is described – averaging – which reveals new properties of pulsars, a correlation between lunar tides and earthquakes as well as new phenomena in cardiology. The interdisciplinary aspect in these research projects is stressed, demonstrating the successful cooperation between mathematicians, physicists, astronomers and earth-scientists in the first two projects and between cardiologists, mathematicians and physicists in the third project.
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