The phrase "arithmetic behind" is correct and usable in written English.
It can be used when discussing the underlying mathematical principles or calculations that support a particular concept or result.
Example: "To fully understand the algorithm's efficiency, we need to explore the arithmetic behind its time complexity."
Alternatives: "mathematics underlying" or "calculations supporting".
"I actually learned how to do arithmetic behind the counter.
The third point gets to the heart of the arithmetic behind the national living wage.
But Gore aides questioned the arithmetic behind the number, along with the way the Bush campaign was interpreting it.
In one or two Mr. Trevor's intricate emotional calculus (he left arithmetic behind long since, and after that, algebra) leaches the emotion.
The Washington Post's fact checker challenged Senator Warren's assertion that the government was racking up large profits from higher interest rates on student loans, assigning a "two Pinocchio" rating of "significant omissions and/or exaggerations" to the budgetary arithmetic behind the proposal.
I don't disagree with the arithmetic behind beta, but I do disagree strongly with what the statistic is supposed to mean.
I will explain that there is a natural continuous interpolation between BB and GIT compactifications, and that there is a rich geometric and arithmetic structure behind this picture.
And yet, in some ways, we continue to far outstrip the very silicon-based computers that so thoroughly kick our carbon-based behinds in arithmetic, logic, and memory.
But the complex political arithmetic that lay behind Dr. Allawi's challenge appeared likely to work as much against him as for him.
With the addition of the keyboard and related software, the calculators -- like the popular TI-83 Plus -- leave arithmetic and even trigonometry behind.
The consequence of understanding the nature of the collapse and the flawed nature of economics is necessary and very uncomfortable fro economists and politicians - but without recognising the essential truth behind the arithmetic we are in extreme danger of deluding ourselves into another and far deeper and more damaging recession and collapse.
