!set x=<i>x</i>
<p>
$x is a real number, which can be replaced by an expression, to allow
composite functions.
</p>
$table_header
$table_tr<th>Function</th><th>Description</th><th>How to type</th></tr>
$table_tr<td>$m_pi
<span class="tt">pi</span> or <span class="tt">Pi</span> or <span class="tt">PI</span></td></tr>
$table_tr<td><i>e</i></td><td>base of natural logarithmic</td><td>
<span class="tt">e</span> or <span class="tt">E</span>
</td></tr>
$table_tr<td
>|$x|</td
><td
>absolute value of
$x</td
><td
><span
class="tt">abs(x
)</td
></tr
>
$table_tr<td>sign($x)</td><td>sign of $x:
<br/> =-1 if $x<0<br/> =0 if $x=0<br/> =1 if $x>0
</td><td><span class="tt">sign(x)</td></tr>
$table_tr<td>
</td><td>square root of $x
</td
><td
><span
class="tt">sqrt(x
)</span
> or
<span
class="tt">x^
(1/2)</span
></td
></tr
>
$table_tr<td>?</td><td>closest integer to $x</td><td><span class="tt">rint(x)</span></td></tr>
$table_tr<td
>?
</td
><td
>largest integer
<=$x</td
><td
><span
class="tt">floor(x
)</span
></td
></tr
>
$table_tr<td
>?
</td
><td
>smallest integer
>=$x</td
><td
><span
class="tt">ceil(x
)</span
>
$table_tr
$table_tr<td><i>e<sup>x</sup></td><td>exponential</td><td>
<span
class="tt">exp(x
)</span
> or
<span
class="tt">e^x
</span
> or
<span
class="tt">E^x
</span
></td
></tr
>
$table_tr</td
><td
>ln
($x)</td
><td
>natural logarithmic
</td
><td
><span
class="tt">log(x
)</span
> or
<span
class="tt">ln
(x
)</span
></td
></tr
>
$table_tr<td
>sin($x)</td
><td
>trigonometric sine
</td
><td
><span
class="tt">sin(x
)</td
></tr
>
$table_tr<td
>cos($x)</td
><td
>trigonometric cosine
</td
><td
><span
class="tt">cos(x
)</td
></tr
>
$table_tr<td
>tg
($x)</td
><td
>trigonometric tangent
</td
><td
><span
class="tt">tan(x
)</span
> or
<span
class="tt">tg
(x
)</span
></td
></tr
>
$table_tr<td>ctg($x)</td><td>trigonometric cotangent</td><td><span class="tt">cotan(x)</span> or <span class="tt">ctg(x)</span>
</span> <br/> or <span class="tt">cot(x)</td></tr>
$table_tr<td
>arcsin
($x)</td
><td
>inverse trigonometric
</td
><td
><span
class="tt">asin(x
)</span
> or
<span class="tt">arcsin(x)</span></td></tr>
$table_tr<td
>arccos
($x)</td
><td
>inverse trigonometric
</td
><td
><span
class="tt">acos(x
)</span
> or
<span class="tt">arccos(x)</span></td></tr>
$table_tr<td
>arctg
($x)</td
><td
>inverse trigonometric
</td
><td
><span
class="tt">atan(x
)</span
> or
<span class="tt">arctan(x)</span> <br/>or <span class="tt">arctg(x)</span></td></tr>
$table_tr<td
>sh
($x)</td
><td
>parabolic sine
</td
><td
><span
class="tt">sh
(x
)</span
> or
<span
class="tt">sinh(x
)</span
></td
></tr
>
$table_tr<td
>ch
($x)</td
><td
>parabolic cosine
</td
><td
><span
class="tt">ch
(x
)</span
> or
<span
class="tt">cosh(x
)</span
></td
></tr
>
$table_tr<td
>th
($x)</td
><td
>parabolic tangent
</td
><td
><span
class="tt">th
(x
)</span
> or
<span
class="tt">tanh(x
)</span
></td
></tr
>
$table_tr<td
>Argsh
($x)</td
><td
>inverse parabolic
</td
><td
><span
class="tt">asinh(x
)</span
> or
<span
class="tt">argsh
(x
)</span
>
<br/>or <span class="tt">Argsh(x)</span></td></tr>
$table_tr<td
>Argch
($x)</td
><td
>inverse parabolic
</td
><td
><span
class="tt">acosh(x
)</span
> or
<span
class="tt">argch
(x
)</span
>
<br/>or <span class="tt">Argch(x)</span></td></tr>
$table_tr<td
>Argth
($x)</td
><td
>inverse parabolic
</td
><td
><span
class="tt">atanh(x
)</span
> or
<span
class="tt">argth
(x
)</span
>
<br/>or <span class="tt">Argth(x)</span></td></tr>
$table_tr<td
>max(x
,y
)</td
><td
>Bigger among x and y
</td
><td
><span
class="tt">max(x
,y
)</span
></td
></tr
>
$table_tr<td
>min(x
,y
)</td
><td
>Smaller among x and y
</td
><td
><span
class="tt">min(x
,y
)</td
></tr
>
$table_tr<td
>gcd
(x
,y
)</td
><td
>Greatest Common Divisor
</td
><td
><span
class="tt">max(x
,y
)</td
></tr
>
$table_tr<td
>lcm
(x
,y
)</td
><td
>Least Commun Multiple
</td
><td
><span
class="tt">min(x
,y
)</td
></tr
>
</table>
!! Add the following:
<ul>
<li
>lg
(x
): log of base
10</li
>
<li>j0(x), j1(x), y0(x), y1(x): Bessel functions</li>
</ul>