The phrase "arithmetic relation" is correct and usable in written English.
It can be used in mathematical contexts to describe a relationship between numbers or variables based on arithmetic operations.
Example: "In algebra, an arithmetic relation can be established between the variables to solve the equation."
Alternatives: "mathematical relationship" or "numerical relation".
Using the improved measurements of planetary movements made by the Danish astronomer Tycho Brahe during the 16th century, Kepler described the planetary orbits with simple geometric and arithmetic relations.
For instance, Hecke operators are used to investigate and study Fourier coefficients of modular forms, to explore other properties of the Hecke-eigenforms, which satisfy many interesting arithmetic relations.
His tribute to the mixed beauty of the sensible world, in Timaeus, consists in his depiction of it as the outcome of divine efforts to mold reality in the image of the forms, using simple geometrical patterns and harmonious arithmetic relations as building blocks.
Combinations of cues and probes that might have elicited activation on the basis of arithmetic relations other than multiplication (e.g., subtraction, "8·3", and "5") were also discarded from the stimulus set.
O'KANE: The comments you made earlier about movies and arithmetic in relation to a cultural shift in Hollywood made me think of Aldous Huxley's great LA futurist novel Ape and Essence, written in 1948 and set in 2120.
But then again, no: arithmetic has its own special subject matter, the natural numbers and the arithmetical relations that hold between them.
However, this interpretation would contradict Weyl's basic thesis that in the symbolic construction of the objective word we are left with nothing but symbolic arithmetic functional relations.
Fig. 2 Relation between arithmetic story and problem.
By the well-known relation between arithmetic and geometric means we have sqrt{2left(1+e^{-2x}right)} < frac{2+left(1+e^{-2x}{ight)}{2} = frac{3+e^{-2x}}{2},,, text{for all (x>0)}.
Namely, the system of rational numbers is assumed to be composed of an infinite set; the collection of arbitrary cuts of rational numbers is also treated as an infinite set; and when supplied with an order relation and arithmetic operations on its elements, the latter gives rise to a new number system.
