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- Multiplicative_inverse abstract "In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function f(x) that maps x to 1/x, is one of the simplest examples of a function which is its own inverse (an involution).The term reciprocal was in common use at least as far back as the third edition of Encyclopædia Britannica (1797) to describe two numbers whose product is 1; geometrical quantities in inverse proportion are described as reciprocall in a 1570 translation of Euclid's Elements.In the phrase multiplicative inverse, the qualifier multiplicative is often omitted and then tacitly understood (in contrast to the additive inverse). Multiplicative inverses can be defined over many mathematical domains as well as numbers. In these cases it can happen that ab ≠ ba; then "inverse" typically implies that an element is both a left and right inverse.The notation x−1 is sometimes also used for the inverse function, which usually is not equal to the multiplicative inverse. For example, 1/sin x = (sin x)−1 is very different from the inverse of sin x, denoted sin−1 x or arcsin x. Only for linear maps are they strongly related (see below). The terminology difference reciprocal versus inverse is not sufficient to make this distinction, since many authors prefer the opposite naming convention, probably for historical reasons (for example in French, the inverse function is preferably called application réciproque).".
- Multiplicative_inverse thumbnail Hyperbola_one_over_x.svg?width=300.
- Multiplicative_inverse wikiPageID "229940".
- Multiplicative_inverse wikiPageRevisionID "606738175".
- Multiplicative_inverse hasPhotoCollection Multiplicative_inverse.
- Multiplicative_inverse subject Category:Abstract_algebra.
- Multiplicative_inverse subject Category:Elementary_algebra.
- Multiplicative_inverse subject Category:Elementary_special_functions.
- Multiplicative_inverse subject Category:Multiplication.
- Multiplicative_inverse comment "In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4.".
- Multiplicative_inverse label "Inverse".
- Multiplicative_inverse label "Inverso multiplicativo".
- Multiplicative_inverse label "Inverso multiplicativo".
- Multiplicative_inverse label "Kehrwert".
- Multiplicative_inverse label "Liczba odwrotna".
- Multiplicative_inverse label "Multiplicative inverse".
- Multiplicative_inverse label "Omgekeerde".
- Multiplicative_inverse label "Reciproco".
- Multiplicative_inverse label "Обратное число".
- Multiplicative_inverse label "مقلوب عدد".
- Multiplicative_inverse label "倒数".
- Multiplicative_inverse label "逆数".
- Multiplicative_inverse sameAs Převrácená_hodnota.
- Multiplicative_inverse sameAs Kehrwert.
- Multiplicative_inverse sameAs Αντίστροφος.
- Multiplicative_inverse sameAs Inverso_multiplicativo.
- Multiplicative_inverse sameAs Alderantzizko_zenbaki.
- Multiplicative_inverse sameAs Inverse.
- Multiplicative_inverse sameAs Reciproco.
- Multiplicative_inverse sameAs 逆数.
- Multiplicative_inverse sameAs 역수.
- Multiplicative_inverse sameAs Omgekeerde.
- Multiplicative_inverse sameAs Liczba_odwrotna.
- Multiplicative_inverse sameAs Inverso_multiplicativo.
- Multiplicative_inverse sameAs m.01hg41.
- Multiplicative_inverse sameAs Q216906.
- Multiplicative_inverse sameAs Q216906.
- Multiplicative_inverse wasDerivedFrom Multiplicative_inverse?oldid=606738175.
- Multiplicative_inverse depiction Hyperbola_one_over_x.svg.
- Multiplicative_inverse isPrimaryTopicOf Multiplicative_inverse.
