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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The entire fraction may be expressed as a single composition, in which case it is hyphenated, or as a number of fractions with a numerator of one, in which case they are not. (For example, two-fifths is the fraction ⁠ 2 / 5 ⁠ and two fifths is the same fraction understood as 2 instances of ⁠ 1 / 5 ⁠.) Fractions should always be ...

  3. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    If the ratio consists of only two values, it can be represented as a fraction, in particular as a decimal fraction. For example, older televisions have a 4:3 aspect ratio , which means that the width is 4/3 of the height (this can also be expressed as 1.33:1 or just 1.33 rounded to two decimal places).

  4. Simple continued fraction - Wikipedia

    en.wikipedia.org/wiki/Simple_continued_fraction

    Let us suppose that the quotients found are, as above, [3;7,15,1]. The following is a rule by which we can write down at once the convergent fractions which result from these quotients without developing the continued fraction. The first quotient, supposed divided by unity, will give the first fraction, which will be too small, namely, ⁠ 3 / ...

  5. Decimal - Wikipedia

    en.wikipedia.org/wiki/Decimal

    This form of fraction remained in use for centuries. [27] [30] Positional decimal fractions appear for the first time in a book by the Arab mathematician Abu'l-Hasan al-Uqlidisi written in the 10th century. [31] The Jewish mathematician Immanuel Bonfils used decimal fractions around 1350 but did not develop any notation to represent them. [32]

  6. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    In an approach based on limits, the symbol ⁠ dy / dx ⁠ is to be interpreted not as the quotient of two numbers but as a shorthand for the limit computed above. [ 49 ] : 74 Leibniz, however, did intend it to represent the quotient of two infinitesimally small numbers, dy being the infinitesimally small change in y caused by an ...

  7. Euler's totient function - Wikipedia

    en.wikipedia.org/wiki/Euler's_totient_function

    These twenty fractions are all the positive ⁠ k / d ⁠ ≤ 1 whose denominators are the divisors d = 1, 2, 4, 5, 10, 20. The fractions with 20 as denominator are those with numerators relatively prime to 20, namely ⁠ 1 / 20 ⁠ , ⁠ 3 / 20 ⁠ , ⁠ 7 / 20 ⁠ , ⁠ 9 / 20 ⁠ , ⁠ 11 / 20 ⁠ , ⁠ 13 / 20 ⁠ , ⁠ 17 / 20 ⁠ , ⁠ 19 ...

  8. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number.For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the 3 rd power: 1000 = 10 3 = 10 × 10 × 10.

  9. Energy density - Wikipedia

    en.wikipedia.org/wiki/Energy_density

    In physics, energy density is the quotient between the amount of energy stored in a given system or contained in a given region of space and the volume of the system or region considered.