41. This is often represented by the use of amplitude-variant Dirac delta functions at the harmonic frequencies. 42. Equality holds only for the two point Bernoulli distribution or the sum of two different Dirac delta functions . 43. The simplest example of a discrete measure on the real line is the Dirac delta function \ delta. 44. The } } are the basis vectors, which are orthonormal so their inner product is a delta function ; 45. It represents the response of the circuit to an input voltage consisting of an impulse or Dirac delta function . 46. The theory of distributions clarifies the ( then ) mysteries of the Dirac delta function and Heaviside step function. 47. More sophisticated approaches do not attempt to apply a delta function constraint to the gauge transformation degrees of freedom. 48. The degree distribution in the case of the ring lattice is just a Dirac delta function centered at K. 49. The function values along the z-axis of the 3D optical transfer function correspond to the Dirac delta function . 50. The delta function potential barrier is the limiting case of the model considered there for very high and narrow barriers.