Yes, a human form is an example of Fourier analysis of the chaotic cosmos, though it is a very slow process.
As the mathematical derivation of sine waves by Fourier analysis makes meaning out of a chaotic activity, so also 'the passing of the spirit' makes sense out of the chaotic cosmos into 'a being'!
Passing the spirit to further generations through 'the near' (inbreeding) and 'the far' (hybridisation) approach is like the waxing and the waning of the moon, the day and the night, the condensation and the rarefaction.
P.S. - 'the far' and 'the near' may alternate in order to move forward in the Darwinian Evolution. In which ratio?! To make a thing sensible and beautiful, it requires to be arranged and re-arranged, isn't it.(Wrote on 16.2.07 to bbc.co.uk)
Fourier analysis Frequency-domain graphs
Fourier analysis began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The attempt to understand functions (or other objects) by breaking them into basic pieces that are easier to understand is one of the central themes in Fourier analysis. Fourier analysis is named after Joseph Fourier who showed that representing a function by a trigonometric series greatly simplified the study of heat propagation. If you want to find out more, look up fourier synthesis and the fourier transform.
Tatsuo Kawata has written: 'Fourier analysis in probability theory' -- subject(s): Fourier series, Fourier transformations, Probabilities
Randall J. LeVeque has written: 'Fourier analysis of the SOR iteration' -- subject- s -: Iterative solution, SOR iteration, Fourier analysis
B. T. Grothaus has written: 'Fourier grain shape analysis' -- subject(s): Alluvial fans, Fourier analysis, Correlation (Statistics)
It is to convert a function into a sum of sine (or cosine) functions so as to simplify its analysis.
Fourier series analysis is useful in signal processing as, by conversion from one domain to the other, you can apply filters to a signal using software, instead of hardware. As an example, you can build a low pass filter by converting to frequency domain, chopping off the high frequency components, and then back converting to time domain. The sky is the limit in terms of what you can do with fourier series analysis.
The general field of Fourier analysis is often known as harmonic analysis. The Fourier analysis it occurs in the modeling time-dependent phenomena such as speech, EKGs, EEGs, earthquakes and tides. Examples also include the study of vibrations and circular, physical and rectangular pictures. It also involves the transmission of pictures including the weather or pictures of remote planets taken by space probes.
Yes. For example: A square wave has a Fourier series.
Fourier Analysis Frequency-domain graphs
Using Fourier Analysis -which is too difficult to explain in this forum.
Fourier analysis shows that the saw wave is constructed through manipulation of a sine wave, I can't remember the maths behind it but it's definitely a sine wave.