| 21. | Thus, the power spectral density function is a set of Dirac delta functions.
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| 22. | Where \ delta ( \ bold r ) is the 3-dimensional delta function.
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| 23. | Setting gives the associated nascent delta function.
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| 24. | The delta function in this incidence algebra similarly corresponds to the formal power series 1.
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| 25. | Under certain conditions, the Kronecker delta can arise from sampling a Dirac delta function.
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| 26. | But as the Fourier transform of a delta function is a constant, we can write
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| 27. | This is simply a flat plane that contains a negative-valued Dirac delta function.
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| 28. | For a proof, see e . g . the article on the surface delta function.
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| 29. | It also represents a nascent delta function in the sense that in the distribution sense as.
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| 30. | Applying Fourier inversion to these delta functions, we obtain the elementary solutions we picked earlier.
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