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  2. Continued fraction (generalized) - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction...

    For the folded general continued fractions of both expressions, the rate convergence μ = (3 − √ 8) 2 = 17 − √ 288 ≈ 0.02943725, hence ⁠ 1 / μ ⁠ = (3 + √ 8) 2 = 17 + √ 288 ≈ 33.97056, whose common logarithm is 1.531... ≈ ⁠ 26 / 17 ⁠ > ⁠ 3 / 2 ⁠, thus adding at least three digits per two terms. This is because the ...

  3. Particular values of the gamma function - Wikipedia

    en.wikipedia.org/wiki/Particular_values_of_the...

    It is unknown whether these constants are transcendental in general, but Γ(⁠ 1 / 3 ⁠) and Γ(⁠ 1 / 4 ⁠) were shown to be transcendental by G. V. Chudnovsky. Γ(⁠ 1 / 4 ⁠) / 4 √ π has also long been known to be transcendental, and Yuri Nesterenko proved in 1996 that Γ(⁠ 1 / 4 ⁠), π, and e π are algebraically independent.

  4. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size. With the restricted definition, each Farey sequence starts with the value 0, denoted ...

  5. Fractional excretion of sodium - Wikipedia

    en.wikipedia.org/wiki/Fractional_excretion_of_sodium

    CSF/S glu = 0.6. The fractional excretion of sodium (FENa) is the percentage of the sodium filtered by the kidney which is excreted in the urine. It is measured in terms of plasma and urine sodium, rather than by the interpretation of urinary sodium concentration alone, as urinary sodium concentrations can vary with water reabsorption.

  6. Fractional part - Wikipedia

    en.wikipedia.org/wiki/Fractional_part

    The fractional part or decimal part[1] of a non‐negative real number is the excess beyond that number's integer part. The latter is defined as the largest integer not greater than x, called floor of x or . Then, the fractional part can be formulated as a difference: The fractional part of logarithms, [2] specifically, is also known as the ...

  7. Calculator input methods - Wikipedia

    en.wikipedia.org/wiki/Calculator_input_methods

    Calculator input methods. There are various ways in which calculators interpret keystrokes. These can be categorized into two main types: On a single-step or immediate-execution calculator, the user presses a key for each operation, calculating all the intermediate results, before the final value is shown. [1][2][3] On an expression or formula ...

  8. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 85 ⁠.

  9. Rational number - Wikipedia

    en.wikipedia.org/wiki/Rational_number

    In mathematics, a rational number is a number that can be expressed as the quotient or fraction ⁠ ⁠ of two integers, a numerator p and a non-zero denominator q. [1] For example, ⁠ ⁠ is a rational number, as is every integer (for example, ). The set of all rational numbers, also referred to as " the rationals ", [2] the field of ...