| 31. | One approach to solving the Hamiltonian constraint starts with what is called the Dirac delta function.
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| 32. | This can be interpreted as a Dirac delta function that is created immediately after the pulse.
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| 33. | The approximating functions of the sequence are thus " approximate " or " nascent " delta functions.
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| 34. | Furthermore, the Dirac delta function is not a function but it is a finite Borel measure.
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| 35. | Where \ delta is the Dirac delta function and H ( x ) the Heaviside step function.
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| 36. | For an infinite crystal, the diffracted pattern is concentrated in Dirac delta function like Bragg peaks.
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| 37. | The delta function is the limit of just such a concentration, with the area remaining constant.
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| 38. | :I think a case can be made that the Dirac delta function is one special case.
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| 39. | As a generalised function, the second derivative may be taken as two times the Dirac delta function.
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| 40. | The first partial derivatives of the delta function are thought of as double layers along the coordinate planes.
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