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    Integer

    Alternate names

    set of integers | set of integers Z | set of whole numbers | set of whole numbers Z

    Basic definition

    An integer is one of the numbers ..., -2, -1, 0, 1, 2, ....

    Detailed definition

    One of the numbers ..., -2, -1, 0, 1, 2, .... The set of integers forms a ring that is denoted Z. A given integer n may be negative (n element Z^-), nonnegative (n element Z^*), zero (n = 0), or positive (n element Z^+ = N). The set of integers is, not surprisingly, called Integers in the Wolfram Language, and a number x can be tested to see if it is a member of the integers using the command Element[x, Integers]. The command IntegerQ[x] returns True if x has function head Integer in the Wolfram Language. Numbers that are integers are sometimes described as "integral" (instead of integer-valued), but this practice may lead to unnecessary confusions with the integrals of integral calculus.

    Related terms

    algebraic integer | almost integer | complex number | counting number | cyclotomic integer | Eisenstein integer | fractional part | Gaussian integer | integer part | N | natural number | negative integer | nonnegative integer | nonpositive integer | positive integer | radical integer | real number | whole number | Z | Z^- | zero | Z^+ | Z^*

    Educational grade level

    elementary school level (California grade 5 standard)

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