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