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