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  2. Help:Displaying a formula - Wikipedia

    en.wikipedia.org/wiki/Help:Displaying_a_formula

    The code for the math example reads: <math display= "inline" > \sum_{i=0}^\infty 2^{-i} </math> The quotation marks around inline are optional and display=inline is also valid. [2] Technically, the command \textstyle will be added to the user input before the TeX command is passed to the renderer. The result will be displayed without further ...

  3. Rational data type - Wikipedia

    en.wikipedia.org/wiki/Rational_data_type

    The fraction is constructed using the % operator. [3] OCaml's Num library implements arbitrary-precision rational numbers. Perl: Math::BigRat core module implements arbitrary-precision rational numbers. The bigrat pragma can be used to turn on transparent BigRat support. Raku: use by default Rat [4] type (rational numbers with limited-precision).

  4. 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 ...

  5. Blackboard bold - Wikipedia

    en.wikipedia.org/wiki/Blackboard_bold

    Blackboard bold used on a blackboard . Blackboard bold is a style of writing bold symbols on a blackboard by doubling certain strokes, commonly used in mathematical lectures, and the derived style of typeface used in printed mathematical texts.

  6. Irrationality measure - Wikipedia

    en.wikipedia.org/wiki/Irrationality_measure

    In mathematics, an irrationality measure of a real number is a measure of how "closely" it can be approximated by rationals. If a function (,), defined for , >, takes positive real values and is strictly decreasing in both variables, consider the following inequality:

  7. Diophantine approximation - Wikipedia

    en.wikipedia.org/wiki/Diophantine_approximation

    The first problem was to know how well a real number can be approximated by rational numbers. For this problem, a rational number p / q is a "good" approximation of a real number α if the absolute value of the difference between p / q and α may not decrease if p / q is replaced by another rational number with a smaller denominator.

  8. Hilbert's seventeenth problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_seventeenth_problem

    Given a multivariate polynomial that takes only non-negative values over the reals, can it be represented as a sum of squares of rational functions? Hilbert's question can be restricted to homogeneous polynomials of even degree, since a polynomial of odd degree changes sign, and the homogenization of a polynomial takes only nonnegative values ...

  9. Rational function - Wikipedia

    en.wikipedia.org/wiki/Rational_function

    In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers ; they may be taken in any field K .

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