The phrase "a sum with" is correct and usable in written English.
It can be used when referring to a mathematical operation or a total that includes certain elements or values.
Example: "The accountant calculated a sum with all the expenses from the previous month."
Alternatives: "a total including" or "an amount with".
What I would say is that you should never settle too soon, even if the kidnappers are asking for a sum with which you are comfortable.
In the limit, this integral can be substituted by a sum with very large N.
(ii) As expected, when attempting to resynthesize the violin using a sum with the harpsichord, the DCR result is very low.
In the extreme of higher ETTF is the type of system that works correctly while at least one node is healthy (f=n−1), having a ratio of (mu_{n,n-1} / mu_{1,0} =sum^{n}_{i=1}1/i) (a sum with n terms).
Estate of Jayne Meadows and Steve Allen brings a sum with significance: $3,778,888.
Filtering the frames in this way will result in a sum with an increased SNR relative to the unfiltered sum.
This forms an index having a weighted sum with an ad-hoc weighting scheme.
The woodwork removed by Street was sold for a nominal sum, with a condition that it could only be used for a hall, chapel or library.
The problem is known from diagnostic testing, where a trade-off between sensitivity and specificity is made, e.g., by taking their sum (equivalent to the Youden index) or a weighted sum with a combination of prevalence and utilities as weights.
Certainly, to most poets (excluding a few popular songwriters and a boxer or two) any sum with eight zeros in it is otherworldly, Ozymandian.
Practical implementation requires the truncation of the exact boundary condition by approximating an infinite sum with a finite sum, and by terminating an infinite recursion relation.
