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  2. Rational number - Wikipedia

    en.wikipedia.org/wiki/Rational_number

    In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...

  3. Proof that π is irrational - Wikipedia

    en.wikipedia.org/wiki/Proof_that_π_is_irrational

    In the 1760s, Johann Heinrich Lambert was the first to prove that the number π is irrational, meaning it cannot be expressed as a fraction /, where and are both integers. ...

  4. Real number - Wikipedia

    en.wikipedia.org/wiki/Real_number

    In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.Here, continuous means that pairs of values can have arbitrarily small differences.

  5. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."

  6. File:Number-systems.svg - Wikipedia

    en.wikipedia.org/wiki/File:Number-systems.svg

    English: Diagram to demonstrate the number systems ℝ, ℚ, ℤ and ℕ as sub-sets of each other. Real numbers (R) include the rational (Q), which include the integers (Z), which include the natural numbers (N).

  7. Integer - Wikipedia

    en.wikipedia.org/wiki/Integer

    The integers arranged on a number line. An integer is the number zero (), a positive natural number (1, 2, 3, . . .), or the negation of a positive natural number ...

  8. Triangular number - Wikipedia

    en.wikipedia.org/wiki/Triangular_number

    The first six triangular numbers (not starting with T 0) Triangular Numbers Plot. A triangular number or triangle number counts objects arranged in an equilateral triangle. ...

  9. Surreal number - Wikipedia

    en.wikipedia.org/wiki/Surreal_number

    A visualization of the surreal number tree. In mathematics, the surreal number system is a totally ordered proper class containing not only the real numbers but also infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number.