Reciprocal: Difference between revisions

Latest revision as of 10:25, 15 February 2025

The reciprocal of a non-zero number $r$ (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 $r^{-1}$ or $\frac 1r$ .

$q$ and $r$ are multiplicative inverses of each other if and only if $r \cdot q = q \cdot r = 1$ .

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-The '''reciprocal''' of a non-[[zero (constant)|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>.
+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>.
-P.S If you take the reciprocal of <math>0</math> one of these three things will happen: the <math>\text{UNIVERSE}</math> will end, a <math>\text{BLACK HOLE}</math> will be created, or you will eat cereal for breakfast. The last thing is <math>\text{VERY UNLIKELY}</math> to happen.
+== See Also ==
-P.S.S. Please raise your <math>\text{dominant}</math> hand and solemnly swear to never take the reciprocal of <math>0</math>.
-==See Also==
 *[[Operator inverse]]
-{{stub}}
 [[Category:Definition]]
+{{stub}}

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Reciprocal: Difference between revisions

Latest revision as of 10:25, 15 February 2025

See Also