Rev 11288 | 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> |
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| 4 | $x is a real number, which can be replaced by an expression, to allow |
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| 5 | composite functions. |
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| 11288 | bpr | 6 | </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> |
| 5921 | bpr | 11 | <span class="tt">pi</span> or <span class="tt">Pi</span> or <span class="tt">PI</span></td></tr> |
| 5798 | bpr | 12 | $table_tr<td><i>e</i></td><td>base of natural logarithmic</td><td> |
| 5921 | bpr | 13 | <span class="tt">e</span> or <span class="tt">E</span> |
| 5798 | bpr | 14 | </td></tr> |
| 5921 | bpr | 15 | $table_tr<td>|$x|</td><td>absolute value of $x</td><td><span class="tt">abs(x)</td></tr> |
| 5798 | bpr | 16 | $table_tr<td>sign($x)</td><td>sign of $x: |
| 17228 | bpr | 17 | <br> =-1 if $x<0<br> =0 if $x=0<br> =1 if $x>0 |
| 5921 | bpr | 18 | </td><td><span class="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 |
| 5921 | bpr | 22 | </td><td><span class="tt">sqrt(x)</span> or <span class="tt">x^(1/2)</span></td></tr> |
| 23 | $table_tr<td>?</td><td>closest integer to $x</td><td><span class="tt">rint(x)</span></td></tr> |
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| 24 | $table_tr<td>?</td><td>largest integer <=$x</td><td><span class="tt">floor(x)</span></td></tr> |
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| 25 | $table_tr<td>?</td><td>smallest integer >=$x</td><td><span class="tt">ceil(x)</span> |
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| 1978 | bpr | 26 | $table_tr |
| 5798 | bpr | 27 | $table_tr<td><i>e<sup>x</sup></td><td>exponential</td><td> |
| 5921 | bpr | 28 | <span class="tt">exp(x)</span> or <span class="tt">e^x</span> or <span class="tt">E^x</span></td></tr> |
| 29 | $table_tr</td><td>ln($x)</td><td>natural logarithmic</td><td><span class="tt">log(x)</span> or <span class="tt">ln(x)</span></td></tr> |
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| 5798 | bpr | 30 | |
| 5921 | bpr | 31 | $table_tr<td>sin($x)</td><td>trigonometric sine</td><td><span class="tt">sin(x)</td></tr> |
| 32 | $table_tr<td>cos($x)</td><td>trigonometric cosine</td><td><span class="tt">cos(x)</td></tr> |
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| 33 | $table_tr<td>tg($x)</td><td>trigonometric tangent</td><td><span class="tt">tan(x)</span> or <span class="tt">tg(x)</span></td></tr> |
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| 34 | $table_tr<td>ctg($x)</td><td>trigonometric cotangent</td><td><span class="tt">cotan(x)</span> or <span class="tt">ctg(x)</span> |
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| 17228 | bpr | 35 | </span> <br> or <span class="tt">cot(x)</td></tr> |
| 5921 | bpr | 36 | $table_tr<td>arcsin($x)</td><td>inverse trigonometric</td><td><span class="tt">asin(x)</span> or |
| 37 | <span class="tt">arcsin(x)</span></td></tr> |
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| 38 | $table_tr<td>arccos($x)</td><td>inverse trigonometric</td><td><span class="tt">acos(x)</span> or |
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| 39 | <span class="tt">arccos(x)</span></td></tr> |
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| 40 | $table_tr<td>arctg($x)</td><td>inverse trigonometric</td><td><span class="tt">atan(x)</span> or |
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| 17228 | bpr | 41 | <span class="tt">arctan(x)</span> <br>or <span class="tt">arctg(x)</span></td></tr> |
| 5921 | bpr | 42 | $table_tr<td>sh($x)</td><td>parabolic sine</td><td><span class="tt">sh(x)</span> or <span class="tt">sinh(x)</span></td></tr> |
| 43 | $table_tr<td>ch($x)</td><td>parabolic cosine</td><td><span class="tt">ch(x)</span> or <span class="tt">cosh(x)</span></td></tr> |
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| 44 | $table_tr<td>th($x)</td><td>parabolic tangent</td><td><span class="tt">th(x)</span> or <span class="tt">tanh(x)</span></td></tr> |
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| 45 | $table_tr<td>Argsh($x)</td><td>inverse parabolic</td><td><span class="tt">asinh(x)</span> or <span class="tt">argsh(x)</span> |
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| 17228 | bpr | 46 | <br>or <span class="tt">Argsh(x)</span></td></tr> |
| 5921 | bpr | 47 | $table_tr<td>Argch($x)</td><td>inverse parabolic</td><td><span class="tt">acosh(x)</span> or <span class="tt">argch(x)</span> |
| 17228 | bpr | 48 | <br>or <span class="tt">Argch(x)</span></td></tr> |
| 5921 | bpr | 49 | $table_tr<td>Argth($x)</td><td>inverse parabolic</td><td><span class="tt">atanh(x)</span> or <span class="tt">argth(x)</span> |
| 17228 | bpr | 50 | <br>or <span class="tt">Argth(x)</span></td></tr> |
| 5921 | bpr | 51 | $table_tr<td>max(x,y)</td><td>Bigger among x and y</td><td><span class="tt">max(x,y)</span></td></tr> |
| 52 | $table_tr<td>min(x,y)</td><td>Smaller among x and y</td><td><span class="tt">min(x,y)</td></tr> |
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| 53 | $table_tr<td>gcd(x,y)</td><td>Greatest Common Divisor</td><td><span class="tt">max(x,y)</td></tr> |
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| 11288 | bpr | 54 | $table_tr<td>lcm(x,y)</td><td>Least Commun Multiple</td><td><span class="tt">min(x,y)</td></tr> |
| 5798 | bpr | 55 | </table> |
| 32 | reyssat | 56 | !exit |
| 57 | |||
| 58 | !! Add the following: |
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| 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> |
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| 1091 | bpr | 62 | </ul> |