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  2. p-adic valuation - Wikipedia

    en.wikipedia.org/wiki/P-adic_valuation

    The p-adic valuation is a valuation and gives rise to an analogue of the usual absolute value. Whereas the completion of the rational numbers with respect to the usual absolute value results in the real numbers R {\displaystyle \mathbb {R} } , the completion of the rational numbers with respect to the p {\displaystyle p} -adic absolute value ...

  3. Absolute value - Wikipedia

    en.wikipedia.org/wiki/Absolute_value

    The real absolute value function is an example of a continuous function that achieves a global minimum where the derivative does not exist. The subdifferential of | x | at x = 0 is the interval [−1, 1]. [14] The complex absolute value function is continuous everywhere but complex differentiable nowhere because it violates the Cauchy–Riemann ...

  4. Absolute value (algebra) - Wikipedia

    en.wikipedia.org/wiki/Absolute_value_(algebra)

    The standard absolute value on the integers. The standard absolute value on the complex numbers.; The p-adic absolute value on the rational numbers.; If R is the field of rational functions over a field F and () is a fixed irreducible polynomial over F, then the following defines an absolute value on R: for () in R define | | to be , where () = () and ((), ()) = = ((), ()).

  5. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    If a and b have different signs, define a + b to be the difference between |a| and |b|, with the sign of the term whose absolute value is larger. [61] As an example, −6 + 4 = −2; because −6 and 4 have different signs, their absolute values are subtracted, and since the absolute value of the negative term is larger, the answer is negative.

  6. Absolute value (disambiguation) - Wikipedia

    en.wikipedia.org/wiki/Absolute_value...

    The absolute value is a value of a real number. Absolute value may also refer to: Absolute value (algebra), a generalization of the absolute value of a real number; Absolute value theorem in mathematics, also known as the "squeeze theorem" Absolute Value, the second full-length album by rapper Akrobatik

  7. Positional notation - Wikipedia

    en.wikipedia.org/wiki/Positional_notation

    The standard 12-hour clock and common use of 12 in English units emphasize the utility of the base. In addition, prior to its conversion to decimal, the old British currency Pound Sterling (GBP) partially used base-12; there were 12 pence (d) in a shilling (s), 20 shillings in a pound (£), and therefore 240 pence in a pound.

  8. Absolute difference - Wikipedia

    en.wikipedia.org/wiki/Absolute_difference

    The absolute difference of two real numbers and is given by | |, the absolute value of their difference. It describes the distance on the real line between the points corresponding to x {\displaystyle x} and y {\displaystyle y} .

  9. King James Version - Wikipedia

    en.wikipedia.org/wiki/King_James_Version

    The King James Version is one of the versions authorized to be used in the services of the Episcopal Church and other parts of the Anglican Communion, [182] as it is the historical Bible of this church. It was presented to King Charles III at his coronation service. [183] [184] Other Christian denominations have also accepted the King James ...

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