Difference between revisions of "Reciprocal"

m
Line 3: Line 3:
 
<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>.
  
P.S If you take the reciprocal of <math>0</math> one of these three things will happen: the <math>UNIVERSE</math> will end, a <math>BLACK HOLE</math> will be created, or you will eat cereal for breakfast. The last thing is <math>VERY UNLIKELY</math> to happen.  
+
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.
 +
 
 +
P.S.S. Please raise your [b]dominant[/b] hand and solemnly swear to never take the reciprocal of <math>0</math>.
  
 
==See Also==
 
==See Also==

Revision as of 08:42, 31 December 2024

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 $r \cdot q = q \cdot r = 1$.

P.S If you take the reciprocal of $0$ one of these three things will happen: the $\text{UNIVERSE}$ will end, a $\text{BLACK HOLE}$ will be created, or you will eat cereal for breakfast. The last thing is $\text{VERY UNLIKELY}$ to happen.

P.S.S. Please raise your [b]dominant[/b] hand and solemnly swear to never take the reciprocal of $0$.

See Also

This article is a stub. Help us out by expanding it.