will contain the quantity q 39 equ11 the following floating point constant is hard wired into the lower input of adder 11 where u03bb sub u03b2 represents the determinant of the covariance matrix u03bb sub u03b2 defined previously therefore the output of adder 11 designated q will be equal to equ12 this is mathematically equivalent to equ13 let w be an n dimensional column vector consisting of the numbers w 1 through w n it is a well known mathematical fact that equ14 where w t represents the transpose of w and where sup represents conventional matrix multiplication furthermore let c x be an n dimensional column vector consisting of the numbers c x 1 through c x n then the earlier definition of w i for all values of i may be written thus where a sub u03b2 is as defined earlier note that a sub u03b2 was chosed to be lower triangular i e a ik 0 for k gt i therefore equ15 or equ16 and the output of adder 11 is equal to equ17 as shown in my dissertation referred to above the expression within the braces is the expression for the desired probability p x sub u03b2 therefore thus the output of adder.