For the above case used throughout this article, the metric is just the Kronecker delta and the scale factors are all 1.
26.
An " impulse " in a continuous time filter means a Dirac delta function; in a discrete time filter the Kronecker delta function would apply.
27.
Where indicates number of randomized networks, is defined over an ensemble of randomized networks and the Kronecker delta function is one if the condition holds.
28.
Where the structure constant is the Levi-Civita symbol, Einstein summation notation is used, is the Kronecker delta, and is the identity matrix.
29.
Where \ psi is the digamma function, \ psi'is the trigamma function, and \ delta _ { ij } is the Kronecker delta.
30.
Where is the Kronecker delta and the are the-dimensional irreducible representations of, also termed spin matrices or " angular momentum matrices ".
