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  2. Real number - Wikipedia

    en.wikipedia.org/wiki/Real_number

    The non-negative real numbers can be noted but one often sees this set noted + {}. [25] In French mathematics, the positive real numbers and negative real numbers commonly include zero, and these sets are noted respectively + and . [26] In this understanding, the respective sets without zero are called strictly positive real numbers and ...

  3. Category:Sets of real numbers - Wikipedia

    en.wikipedia.org/wiki/Category:Sets_of_real_numbers

    Pages in category "Sets of real numbers" The following 15 pages are in this category, out of 15 total. This list may not reflect recent changes. B. Bernstein set; C.

  4. Positive real numbers - Wikipedia

    en.wikipedia.org/wiki/Positive_real_numbers

    Including 0, the set has a semiring structure (0 being the additive identity), known as the probability semiring; taking logarithms (with a choice of base giving a logarithmic unit) gives an isomorphism with the log semiring (with 0 corresponding to ), and its units (the finite numbers, excluding ) correspond to the positive real numbers.

  5. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    Computable number: A real number whose digits can be computed by some algorithm. Period: A number which can be computed as the integral of some algebraic function over an algebraic domain. Definable number: A real number that can be defined uniquely using a first-order formula with one free variable in the language of set theory.

  6. Construction of the real numbers - Wikipedia

    en.wikipedia.org/wiki/Construction_of_the_real...

    An axiomatic definition of the real numbers consists of defining them as the elements of a complete ordered field. [2] [3] [4] This means the following: The real numbers form a set, commonly denoted , containing two distinguished elements denoted 0 and 1, and on which are defined two binary operations and one binary relation; the operations are called addition and multiplication of real ...

  7. Category:Real numbers - Wikipedia

    en.wikipedia.org/wiki/Category:Real_numbers

    In mathematics, the real numbers are intuitively defined as numbers that are in one-to-one correspondence with the points on an infinite line—the number line. The term "real number" is a retronym coined in response to "imaginary number". Together with the p-adic numbers, the reals are a limit set of the rational numbers. Real numbers may be ...

  8. List of properties of sets of reals - Wikipedia

    en.wikipedia.org/wiki/List_of_properties_of_sets...

    This article lists some properties of sets of real numbers. The general study of these concepts forms descriptive set theory , which has a rather different emphasis from general topology . Definability properties

  9. List of numbers - Wikipedia, the free encyclopedia

    en.wikipedia.org/wiki/List_of_numbers

    A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.

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