Delta symbol, Kronecker

Let us define a generalization of the Kronecker delta symbol and call it a Logical Kronecker Delta (LKD). This symbol is written as 5(L) and corresponds to a function that can return two possible values 1 if the logieal argument L is true or 0... 

Otherwise. The Kronecker delta symbol is a particular case of a LKD, where in the logical expression L there is involved an equivalence symbol. 

Here 8kj is the Kronecker delta-symbol. Apart from components fka of the matrix of functionalities f and conversion p of the groups A, (37) to the right-hand part of Eqs. (40), there also enter the elements and Kja of the matrix of bonds p and the stoichiometric matrix k, respectively... 

Here we have introduced the Kronecker delta symbol... 

To arrive at these results, we have noted that the time-average of the leading partial time derivative in Eq. 2 is zero and that, since the velocity field is already a first-order quantity (with the base state being one of zero flow), the acoustic stress is correct to secrnid order as written on the far right-hand side of Eq. 17. Here, S denotes the unit isotropic tensor of rank two whose components in a Cartesian system are given by the Kronecker delta symbol 8 ,. That is, in component form, riy = - (p po) ij - poiviVj). 

Kronecker delta symbol or Dirac delta function... 

Sjj are the Kronecker delta symbols, for which Sjj = 0 for i j and Sjj = 1 for i = j. a stands for all additional quantum numbers which describe the initial and hnal states of T. The doubly reduced matrix elements (raLS E Z a L 5 ), containing the spin-orbit operator are tabulated [34]. The term between curly brackets is the six-j symbol, which describes the coupling of three momenta, in this case L, S and J. Online calculators are available to determine these, or they are tabulated [35]. Erom the 6-j symbol selection rules arise, as it is only non-zero when ... 

---