Sentence examples for a rational number from inspiring English sources

If two such numbers are added, subtracted, multiplied, or divided (except by 0), the result is again a rational number.

A rational number is a fraction composed of integers (whole numbers): 1/1, 1/3, 3/5, 10/71, and so on.

As a logical consequence of this definition, it follows that there is a rational number between zero and any nonzero number.

Consider, for example, the function f defined by f(x) = 0 whenever x is a rational number but f(x) = 1 whenever x is irrational.

A rational number is a number that can be written in the form a over b (a/b), where a and b are integers and b does not have what value?

Expressed in digits, pi extends into the distance as far as the eye can see, and the digits never repeat periodically, as do the digits of a rational number.

This belief was shaken, however, by the discovery that the diagonal of a unit square (that is, a square whose sides have a length of 1) cannot be expressed as a rational number.

If there exists a greatest element of one set or a least element of the other set, then the cut defines a rational number; otherwise the cut defines an irrational number.

If is a rational number, then.

(AP2) Algorithm g receives as input a positive rational number δ, an instance (A, B) of (1,2)- EXDCJ-DISTANCE and a solution M of FFDCJ-DISTANCE, and transforms M into a solution (AX, BX) of (1,2)- EXDCJ-DISTANCE.

Since the obvious periodic points e λ x for a λ = 2 π i q, where q is a (real) rational number, no longer span a dense subspace of C α, it requires a bit more work.