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  2. Continuous or discrete variable - Wikipedia

    en.wikipedia.org/wiki/Continuous_or_discrete...

    In mathematics and statistics, a quantitative variable may be continuous or discrete if it is typically obtained by measuring or counting, respectively. [1] If it can take on two particular real values such that it can also take on all real values between them (including values that are arbitrarily or infinitesimally close together), the variable is continuous in that interval. [2]

  3. Statistical data type - Wikipedia

    en.wikipedia.org/wiki/Statistical_data_type

    For example, count data requires a different distribution (e.g. a Poisson distribution or binomial distribution) than non-negative real-valued data require, but both fall under the same level of measurement (a ratio scale). Various attempts have been made to produce a taxonomy of levels of measurement.

  4. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.

  5. First-countable space - Wikipedia

    en.wikipedia.org/wiki/First-countable_space

    The quotient space / where the natural numbers on the real line are identified as a single point is not first countable. [1] However, this space has the property that for any subset A {\displaystyle A} and every element x {\displaystyle x} in the closure of A , {\displaystyle A,} there is a sequence in A {\displaystyle A} converging to x ...

  6. Real number - Wikipedia

    en.wikipedia.org/wiki/Real_number

    In this case, in the first decimal representation, all are zero for >, and, in the second representation, all 9. (see 0.999... for details). In summary, there is a bijection between the real numbers and the decimal representations that do not end with infinitely many trailing 9.

  7. Cardinality of the continuum - Wikipedia

    en.wikipedia.org/wiki/Cardinality_of_the_continuum

    In the other direction, the binary expansions of numbers in the half-open interval [,), viewed as sets of positions where the expansion is one, almost give a one-to-one mapping from subsets of a countable set (the set of positions in the expansions) to real numbers, but it fails to be one-to-one for numbers with terminating binary expansions ...

  8. Axiom of countability - Wikipedia

    en.wikipedia.org/wiki/Axiom_of_countability

    Every first-countable space is sequential. Every second-countable space is first countable, separable, and Lindelöf. Every σ-compact space is Lindelöf. Every metric space is first countable. For metric spaces, second-countability, separability, and the Lindelöf property are all equivalent.

  9. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...

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