The k-th derivative of this function is negative one to the k times the k-th derivative of test functions phi evaluated at zero. For a non-zero scalar (15[1])alpha, this function of alpha-x (15[1])equals this function of x divided by the magnitude of alpha. (15[1])The convolution (-5[1])of this function with any other (15[1])tempered distribution S (15[1])is S since its Fourier (15[1])transform (15[1])is 1. (15[2]-5[1])Applying (-5[1])an operator (15[3])to its associated (15[1]-5[2])(*) Green’s function gives this distribution. (10[4]-5[1])This distribution’s (10[2])sifting property integrates (10[1]0[1])over all space and will return another function’s evaluation where this distribution is centered. (10[1])This distribution is the derivative (-5[1])of the Heaviside step function (10[2])and (10[1])is the limit (10[1])of a Gaussian (10[1]-5[1])as it gets (10[1])taller (10[1])and thinner. (10[3]-5[1])For 10 (10[1])points, (-5[1])name this distribution which is zero everywhere (10[1])except at the origin, (-5[1])where it is infinite. ■END■ (10[7]0[6])