Rev 5798 | Rev 5921 | Go to most recent revision | Details | Compare with Previous | Last modification | View Log | RSS feed
Rev | Author | Line No. | Line |
---|---|---|---|
32 | reyssat | 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. |
||
5920 | bpr | 6 | </p><p> |
1978 | bpr | 7 | $table_header |
5798 | bpr | 8 | $table_tr<th>Function</th><th>Description</th><th>How to type</th></tr> |
1978 | bpr | 9 | $table_tr<td>$m_pi |
5798 | bpr | 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> |
||
32 | reyssat | 13 | <tt>e</tt> or <tt>E</tt> |
5798 | bpr | 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: |
||
5766 | bpr | 17 | <br/> =-1 if $x<0<br/> =0 if $x=0<br/> =1 if $x>0 |
5798 | bpr | 18 | </td><td><tt>sign(x)</td></tr> |
1978 | bpr | 19 | $table_tr<td> |
32 | reyssat | 20 | !instex $$ \sqrt x $$ |
5798 | bpr | 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> |
||
1978 | bpr | 26 | $table_tr |
5798 | bpr | 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> |
||
32 | reyssat | 56 | !exit |
57 | |||
58 | !! Add the following: |
||
1091 | bpr | 59 | <ul> |
5798 | bpr | 60 | <li>lg(x): log of base 10</li> |
61 | <li>j0(x), j1(x), y0(x), y1(x): Bessel functions</li> |
||
1091 | bpr | 62 | </ul> |
32 | reyssat | 63 |