set of rational numbers
1rational numbers — noun The set of numbers that can be expressed as a ratio of integers (fraction) /<sub>n</sub>, where n is not zero. In set builder notation, it is defined as /</sub>n</sub>|m∈ℤ,n∈ℕ. Syn: ℚ …
2Rational number — In mathematics, a rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero. Since b may be equal to 1, every integer is a rational number. The set of all… …
3rational number — Math. a number that can be expressed exactly by a ratio of two integers. [1900 05] * * * Any number that can be represented as the quotient of two integers (i.e., the denominator cannot equal zero). The set of rational numbers includes all… …
4Rational trigonometry — is a recently introduced approach to trigonometry that eschews all transcendental functions (such as sine and cosine) and all proportional measurements of angles. In place of angles, it characterizes the separation between lines by a quantity… …
5Set-builder notation — In set theory and its applications to logic, mathematics, and computer science, set builder notation (sometimes simply set notation ) is a mathematical notation for describing a set by stating the properties that its members must satisfy. Forming …
6Set (mathematics) — This article gives an introduction to what mathematicians call intuitive or naive set theory; for a more detailed account see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory. The intersection of two sets is… …
7Rational root theorem — In algebra, the rational root theorem (or rational root test to find the zeros) states a constraint on solutions (or roots) to the polynomial equation:a nx^n+a {n 1}x^{n 1}+cdots+a 0 = 0,!with integer coefficients.Let a 0 and a n be nonzero.Then… …
8set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …
9Completeness of the real numbers — Intuitively, completeness implies that there are not any “gaps” (in Dedekind s terminology) or “missing points” in the real number line. This contrasts with the rational numbers, whose corresponding number line has a “gap” at each irrational… …
10Open set — Example: The points (x, y) satisfying x2 + y2 = r2 are colored blue. The points (x, y) satisfying x2 + y2 < r2 are colored red. The red points form an open set. The blue points form a closed set. The union of the red and blue points is a… …
