Difference between revisions of "Reciprocal"
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| − | The '''reciprocal''' of a non-[[ | + | The '''reciprocal''' of a non-[[0|zero]] number <math>r</math> (usually a [[real number]] or [[rational number]], but also a [[complex number]] or any non-zero element of a [[field]]) is its multiplicative [[inverse with respect to an operation|inverse]]. The reciprocal is usually denoted <math>r^{-1}</math> or <math>\frac 1r</math>. |
<math>q</math> and <math>r</math> are multiplicative inverses of each other if and only if <math>r \cdot q = q \cdot r = 1</math>. | <math>q</math> and <math>r</math> are multiplicative inverses of each other if and only if <math>r \cdot q = q \cdot r = 1</math>. | ||
| − | + | == See Also == | |
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*[[Operator inverse]] | *[[Operator inverse]] | ||
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[[Category:Definition]] | [[Category:Definition]] | ||
| + | {{stub}} | ||
Latest revision as of 10:25, 15 February 2025
The reciprocal of a non-zero number 
(usually a real number or rational number, but also a complex number or any non-zero element of a field) is its multiplicative inverse. The reciprocal is usually denoted 
or 
.
and are multiplicative inverses of each other if and only if 
.
See Also
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