Search results
Results from the WOW.Com Content Network
The term absolute value has been used in this sense from at least 1806 in French [3] and 1857 in English. [4] The notation | x |, with a vertical bar on each side, was introduced by Karl Weierstrass in 1841. [5] Other names for absolute value include numerical value [1] and magnitude. [1]
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 ((), ()) = = ((), ()).
In number theory, Ostrowski's theorem, due to Alexander Ostrowski (1916), states that every non-trivial absolute value on the rational numbers is equivalent to either the usual real absolute value or a p-adic absolute value. [1]
Absolute zero, the lowest limit of the thermodynamic temperature scale; Absolute magnitude, a measure of the luminosity of a celestial object; Relative change and difference, used to compare two quantities taking into account the "sizes" of the things being compared; Absolute (disambiguation) Number (disambiguation)
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 ...
It’s less like adding 2 + 2 and getting 5, and more like starting with 5 and stating definitively that the sum must have been 2 + 3 – when it could just as easily have been 1 + 4, 2.5 x 2, or ...
John Speed's Genealogies recorded in the Sacred Scriptures (1611), bound into first King James Bible in quarto size (1612). The title of the first edition of the translation, in Early Modern English, was "THE HOLY BIBLE, Conteyning the Old Teſtament, AND THE NEW: Newly Tranſlated out of the Originall tongues: & with the former Tranſlations diligently compared and reuiſed, by his Maiesties ...
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