Undirected value: Difference between revisions

Cmloegcmluin (talk | contribs)
better home for that identity
Sintel bot (talk | contribs)
Fix <math> environments for MathJax v4 (align->aligned, etc.)
 
(2 intermediate revisions by one other user not shown)
Line 52: Line 52:
<math>
<math>
\overline{\underline{x}} =  
\overline{\underline{x}} =  
\begin{equation}
\begin{cases}
\begin{cases}
x & \text{if} \; |x| \ge 1 \\
x & \text{if} \; |x| \ge 1 \\
\frac{1}{x} & \text{if} \; |x| < 1 \\
\frac{1}{x} & \text{if} \; |x| < 1 \\
\end{cases}
\end{cases}
\end{equation}
</math>
</math>


Line 82: Line 80:


A '''subunison''' number, by extension, is a real number whose absolute value is less than 1.
A '''subunison''' number, by extension, is a real number whose absolute value is less than 1.
And a '''unison''' number is a real number whose absolute value is equal to 1 (that is, it is either 1 or -1).


{| class="wikitable"
{| class="wikitable"
Line 98: Line 94:
|-
|-
!unsigned
!unsigned
|∞
|<math>\infty</math>
|n/a
|n/a
|0
|0
Line 181: Line 177:


<math>
<math>
\overline{\underline{x} = b^{|log_b(x)|} \;\; \text{for any base} \; b>1 \; \text{and} \; x>0 \\
\overline{\underline{x}} = b^{|log_{b}{x}|} \;\; \text{for any base} \; b>1 \; \text{and} \; x>0 \\
</math>
</math>


== Graphs ==
== Graphs ==