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  1. !set x=<i>x</i>
  2.  
  3. <p>
  4. $x is a real number, which can be replaced by an expression, to allow
  5. composite functions.
  6. </p><p>
  7. $table_header
  8. $table_tr<th>Function</th><th>Description</th><th>How to type</th></tr>
  9. $table_tr<td>$m_pi
  10.     </td><td>constant known to all</td><td>
  11.     <tt>pi</tt> or <tt>Pi</tt> or <tt>PI</tt></td></tr>
  12. $table_tr<td><i>e</i></td><td>base of natural logarithmic</td><td>
  13.     <tt>e</tt> or <tt>E</tt>
  14. </td></tr>
  15. $table_tr<td>|$x|</td><td>absolute value of $x</td><td><tt>abs(x)</td></tr>
  16. $table_tr<td>sign($x)</td><td>sign of $x:
  17.        <br/>&nbsp;=-1 if $x&lt;0<br/>&nbsp;=0 if $x=0<br/>&nbsp;=1 if $x>0
  18.        </td><td><tt>sign(x)</td></tr>
  19. $table_tr<td>
  20.     !instex $$ \sqrt x $$
  21.     </td><td>square root of $x
  22.     </td><td><tt>sqrt(x)</tt> or <tt>x^(1/2)</tt></td></tr>
  23. $table_tr<td>?</td><td>closest integer to $x</td><td><tt>rint(x)</tt></td></tr>
  24. $table_tr<td>?</td><td>largest integer <=$x</td><td><tt>floor(x)</tt></td></tr>
  25. $table_tr<td>?</td><td>smallest integer >=$x</td><td><tt>ceil(x)</tt>
  26. $table_tr
  27. $table_tr<td><i>e<sup>x</sup></td><td>exponential</td><td>
  28.     <tt>exp(x)</tt> or <tt>e^x</tt> or <tt>E^x</tt></td></tr>
  29. $table_tr</td><td>ln($x)</td><td>natural logarithmic</td><td><tt>log(x)</tt> or <tt>ln(x)</tt></td></tr>
  30.  
  31. $table_tr<td>sin($x)</td><td>trigonometric sine</td><td><tt>sin(x)</td></tr>
  32. $table_tr<td>cos($x)</td><td>trigonometric cosine</td><td><tt>cos(x)</td></tr>
  33. $table_tr<td>tg($x)</td><td>trigonometric tangent</td><td><tt>tan(x)</tt> or <tt>tg(x)</tt></td></tr>
  34. $table_tr<td>ctg($x)</td><td>trigonometric cotangent</td><td><tt>cotan(x)</tt> or <tt>ctg(x)</tt>
  35.     </tt> <br/> or <tt>cot(x)</td></tr>
  36. $table_tr<td>arcsin($x)</td><td>inverse trigonometric</td><td><tt>asin(x)</tt> or
  37.     <tt>arcsin(x)</tt></td></tr>
  38. $table_tr<td>arccos($x)</td><td>inverse trigonometric</td><td><tt>acos(x)</tt> or
  39.     <tt>arccos(x)</tt></td></tr>
  40. $table_tr<td>arctg($x)</td><td>inverse trigonometric</td><td><tt>atan(x)</tt> or
  41.     <tt>arctan(x)</tt> <br/>or <tt>arctg(x)</tt></td></tr>
  42. $table_tr<td>sh($x)</td><td>parabolic sine</td><td><tt>sh(x)</tt> or <tt>sinh(x)</tt></td></tr>
  43. $table_tr<td>ch($x)</td><td>parabolic cosine</td><td><tt>ch(x)</tt> or <tt>cosh(x)</tt></td></tr>
  44. $table_tr<td>th($x)</td><td>parabolic tangent</td><td><tt>th(x)</tt> or <tt>tanh(x)</tt></td></tr>
  45. $table_tr<td>Argsh($x)</td><td>inverse parabolic</td><td><tt>asinh(x)</tt> or <tt>argsh(x)</tt>
  46.     <br/>or <tt>Argsh(x)</tt></td></tr>
  47. $table_tr<td>Argch($x)</td><td>inverse parabolic</td><td><tt>acosh(x)</tt> or <tt>argch(x)</tt>
  48.     <br/>or <tt>Argch(x)</tt></td></tr>
  49. $table_tr<td>Argth($x)</td><td>inverse parabolic</td><td><tt>atanh(x)</tt> or <tt>argth(x)</tt>
  50.     <br/>or <tt>Argth(x)</tt></td></tr>
  51. $table_tr<td>max(x,y)</td><td>Bigger among x and y</td><td><tt>max(x,y)</tt></td></tr>
  52. $table_tr<td>min(x,y)</td><td>Smaller among x and y</td><td><tt>min(x,y)</td></tr>
  53. $table_tr<td>gcd(x,y)</td><td>Greatest Common Divisor</td><td><tt>max(x,y)</td></tr>
  54. $table_tr<td>lcm(x,y)</td><td>Least Commun Multiple</td><td><tt>min(x,y)
  55. </table>
  56. !exit
  57.  
  58. !! Add the following:
  59. <ul>
  60. <li>lg(x): log of base 10</li>
  61. <li>j0(x), j1(x), y0(x), y1(x): Bessel functions</li>
  62. </ul>
  63.  
  64.