The phrase "arithmetic over" is not a standard expression in written English and may require additional context to be understood.
It could be used in mathematical or computational contexts, particularly when discussing operations or calculations involving arithmetic.
Example: "The algorithm performs arithmetic over the data set to derive the average value."
Alternatives: "calculations involving" or "mathematical operations on".
"I plead with you," Mr. Clinton told an estimated 2,000 people who packed a hotel ballroom in this presidential battleground state, "get out there and talk to people – for shared prosperity over trickle down, for 'we're all in this together' over 'you're on your own,' for cooperation over conflict and for arithmetic over illusion".
On this issue, I am afraid that I will again have to side with arithmetic over the leading authorities in the economics profession.
Next we define arithmetic over I ℝ.
The schools provide an opportunity for the children to study reading, writing and arithmetic over a three-year period to pass the national exam and receive their primary study certificate.
Our approach is a combination of interval arithmetic (over-approximation, aiming to decide unsatisfiability) and testing (under-approximation, aiming to decide satisfiability) to sandwich precise results.
Suppose a paper published some 10 years ago suggests that all microarray data be normalized by dividing the expression level of each gene on a given array by the arithmetic mean taken over all genes on the same array.
So the arithmetic works over time".
Moreover, the overall algorithm can be performed in less than arithmetic operations over.
For this feature, the entropy is replaced by the ratio of geometric and arithmetic means over R frames.
The computational complexity of the polynomial interpolation grows as O |S a ⊕S b |3) and uses rather expensive arithmetic operations over large finite fields.
Solving these equations with fast general linear algebra can be done in less than arithmetic operations over (see [27, Chapter 12]).
