The phrase "depending on the sum" is correct and usable in written English.
It can be used when discussing a situation where the outcome or decision is contingent upon the total amount or result of a calculation.
Example: "The final cost of the project will vary depending on the sum of the materials and labor."
Alternatives: "based on the total" or "contingent upon the amount".
Depending on the sum of the two scores, a final value was given.
A procedure similar to the one utilized in MAR(Y), but the observations of X1 and Za were deleted depending on the sum of X2 and a value from a random normal distribution; the observations of X2 depended on X1 and a value from a random normal distribution.
Thus, depending on the sum of ranks of the several POPs belonging to the specific POP subclass under consideration, the subject could be in the lowest quartile or in a higher quartile; however, if all POPs in the subclass were nondetectable, the subject would be placed in the lowest quartile.
It is, however, important to keep in mind that the inhibition of the yeast is depending on the sum of inhibiting substances, but the results in the present study suggest that inhibition of the yeast can be ruled out as the sole explanation of the low ethanol yield in batch SSF with the whole pretreated slurry (SSF 1).
Responsible public-health officials have pointed out that since the biological effects of chemicals are cumulative over long periods, the hazard to the individual may depend on the sum of the exposures he receives throughout his lifetime.
Our feedbacks only depend on the sum of the species levels.
Thus, the bounding scheme, which depends on the sum of all the normalised weights, is utilised.
Whether a bubble grows or shrinks depends on the sum total of the curvature of its faces.
In a static network, the delay depends on the sum of the times spent at each relay.
Total consumption (qph i,h,r)) then depends on the sum of these two demands for subsistence and luxury commodities.
Then we included dummy variables for the treatments, since the shadow price of the total endowment depends on the sum of the minimum thresholds, which differs from treatment to treatment.
