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where [a~,/0~j]L is the first-order partial derivative of ~, with respect to ~j as given in Talkie HI. Table I illustrates the calculation of arc weights for the elementary operations. These weights represent the first-order relative effect on the value of a node resulting from the use of an operand containing a relative error. More generally, the total effect of a relative error in operand ~j of node ~, is given by the part ial relative derivative of ~, with respect to ~j defined by

Errata: “Efficient Calculation of the Effects of Roundoff Errors”