The phrase "arithmetic based on" is correct and usable in written English.
It can be used when discussing mathematical concepts or methods that rely on specific principles or foundations.
Example: "The study of algebra often involves arithmetic based on the properties of numbers and operations."
Alternatives: "mathematics grounded in" or "calculations derived from".
This applies, in particular, to the aforementioned theories Ta and Tb of arithmetic (based on the language of N), the natural models of which are countable, as well as to theories dealing with real numbers and arbitrary sets, the natural models of which are uncountable; both kinds of theory have both countable and uncountable models.
Two epidemical arithmetic based on tree structure stand out from these boosting members.
Meyer has produced a variation of Peano arithmetic based on the logic R. Meyer gave a finitary proof that his relevant arithmetic does not have 0 = 1 as a theorem.
Therefore, we included only arithmetic mean Hg concentrations, or we calculated arithmetic means based on raw data when reported.
That arithmetic was based on assumptions that Enron could deliver at least 75percentt of the $2 a share in pro-forma earnings that Wall Street had been forecasting for next year.
The Trachtenberg Speed System of Basic Mathematics, a mental arithmetic primer based on a method Jakow Trachtenberg mastered when pencil-less in a concentration camp, is still selling, more than 60 years after the author's death.
Arabian arithmetic supposedly based on man's 10 fingers & his predilection for counting on them was widely used in Europe beginning in the 11th century (while decimal fractions & the decimal point were not used regularly until the end of the 16th century) The U.S. abandoned English currency and issued the hundred-cent dollar under the Coinage Act of 1792.
We focus on inequalities that employ arithmetic functions based on the divisors of positive integers.
In the proposed structure, weights are stored in the digital registers while the arithmetic is based on the CVNS.
This paper reviews other specialized arithmetic units based on existing formats to show ways to make high precision computing.
Each pixel includes a photodiode, an amplifier, two storage capacitors, and an analog arithmetic unit based on a four-quadrant multiplier architecture.
