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| 7 | <center><table border=2 cellspacing=1 cellpadding=3 bgcolor="#d0e0c0"> |
7 | <center><table border=2 cellspacing=1 cellpadding=3 bgcolor="#d0e0c0"> |
| 8 | <tr><th>function<th>description<th>how to type |
8 | <tr><th>function<th>description<th>how to type |
| 9 | <tr> |
9 | <tr> |
| 10 | <tr><td>$m_pi |
10 | <tr><td>$m_pi |
| 11 | <td>constant known to all<td> |
11 | <td>constant known to all<td> |
| 12 | <tt>pi</tt> or <tt>Pi</tt> or <tt> |
12 | <tt>pi</tt> or <tt>Pi</tt> or <tt>PI</tt> |
| 13 | <tr><td><i>e</i><td>base of natural logarithmic<td> |
13 | <tr><td><i>e</i><td>base of natural logarithmic<td> |
| 14 | <tt>e</tt> or <tt>E</tt> |
14 | <tt>e</tt> or <tt>E</tt> |
| 15 | <tr> |
15 | <tr> |
| 16 | <tr><td>|$x|<td>absolute value of $x<td><tt>abs(x) |
16 | <tr><td>|$x|<td>absolute value of $x<td><tt>abs(x) |
| 17 | <tr><td>sign($x)<td>sign of $x: |
17 | <tr><td>sign($x)<td>sign of $x: |
| 18 | <br> =-1 if $x<0<br> =0 if $x=0<br> =1 if $x>0 |
18 | <br> =-1 if $x<0<br> =0 if $x=0<br> =1 if $x>0 |
| 19 | <td><tt>sign(x) |
19 | <td><tt>sign(x) |
| 20 | <tr><td> |
20 | <tr><td> |
| 21 | !instex $$ \sqrt x $$ |
21 | !instex $$ \sqrt x $$ |
| 22 | <td>square root of $x |
22 | <td>square root of $x |
| 23 | <td><tt>sqrt(x)</tt> or <tt>x^(1/2) |
23 | <td><tt>sqrt(x)</tt> or <tt>x^(1/2)</tt> |
| 24 | <tr><td>?<td>closest integer to $x<td><tt>rint(x) |
24 | <tr><td>?<td>closest integer to $x<td><tt>rint(x)</tt> |
| 25 | <tr><td>?<td>largest integer <=$x<td><tt>floor(x) |
25 | <tr><td>?<td>largest integer <=$x<td><tt>floor(x)</tt> |
| 26 | <tr><td>?<td>smallest integer >=$x<td><tt>ceil(x) |
26 | <tr><td>?<td>smallest integer >=$x<td><tt>ceil(x)</tt> |
| 27 | <tr> |
27 | <tr> |
| 28 | <tr><td><i>e<sup>x</sup><td>exponential<td> |
28 | <tr><td><i>e<sup>x</sup><td>exponential<td> |
| 29 | <tt>exp(x)</tt> or <tt>e^x</tt> or <tt>E^x |
29 | <tt>exp(x)</tt> or <tt>e^x</tt> or <tt>E^x</tt> |
| 30 | <tr><td>ln($x)<td>natural logarithmic<td><tt>log(x)</tt> or <tt>ln(x) |
30 | <tr><td>ln($x)<td>natural logarithmic<td><tt>log(x)</tt> or <tt>ln(x)</tt> |
| 31 | <tr> |
31 | <tr> |
| 32 | <tr><td>sin($x)<td>trigonometric sine<td><tt>sin(x) |
32 | <tr><td>sin($x)<td>trigonometric sine<td><tt>sin(x) |
| 33 | <tr><td>cos($x)<td>trigonometric cosine<td><tt>cos(x) |
33 | <tr><td>cos($x)<td>trigonometric cosine<td><tt>cos(x) |
| 34 | <tr><td>tg($x)<td>trigonometric tangent<td><tt>tan(x)</tt> or <tt>tg(x) |
34 | <tr><td>tg($x)<td>trigonometric tangent<td><tt>tan(x)</tt> or <tt>tg(x)</tt> |
| 35 | <tr><td>ctg($x)<td>trigonometric cotangent<td><tt>cotan(x)</tt> or <tt>ctg(x) |
35 | <tr><td>ctg($x)<td>trigonometric cotangent<td><tt>cotan(x)</tt> or <tt>ctg(x)</tt> |
| 36 | </tt> <br> or <tt>cot(x) |
36 | </tt> <br> or <tt>cot(x) |
| 37 | <tr><td>arcsin($x)<td>inverse trigonometric<td><tt>asin(x)</tt> or |
37 | <tr><td>arcsin($x)<td>inverse trigonometric<td><tt>asin(x)</tt> or |
| 38 | <tt>arcsin(x) |
38 | <tt>arcsin(x)</tt> |
| 39 | <tr><td>arccos($x)<td>inverse trigonometric<td><tt>acos(x)</tt> or |
39 | <tr><td>arccos($x)<td>inverse trigonometric<td><tt>acos(x)</tt> or |
| 40 | <tt>arccos(x) |
40 | <tt>arccos(x)</tt> |
| 41 | <tr><td>arctg($x)<td>inverse trigonometric<td><tt>atan(x)</tt> or |
41 | <tr><td>arctg($x)<td>inverse trigonometric<td><tt>atan(x)</tt> or |
| 42 | <tt>arctan(x)</tt> <br>or <tt>arctg(x) |
42 | <tt>arctan(x)</tt> <br>or <tt>arctg(x)</tt> |
| 43 | <tr> |
43 | <tr> |
| 44 | <tr><td>sh($x)<td>parabolic sine<td><tt>sh(x)</tt> or <tt>sinh(x) |
44 | <tr><td>sh($x)<td>parabolic sine<td><tt>sh(x)</tt> or <tt>sinh(x)</tt> |
| 45 | <tr><td>ch($x)<td>parabolic cosine<td><tt>ch(x)</tt> or <tt>cosh(x) |
45 | <tr><td>ch($x)<td>parabolic cosine<td><tt>ch(x)</tt> or <tt>cosh(x)</tt> |
| 46 | <tr><td>th($x)<td>parabolic tangent<td><tt>th(x)</tt> or <tt>tanh(x) |
46 | <tr><td>th($x)<td>parabolic tangent<td><tt>th(x)</tt> or <tt>tanh(x)</tt> |
| 47 | <tr><td>Argsh($x)<td>inverse parabolic<td><tt>asinh(x)</tt> or <tt>argsh(x) |
47 | <tr><td>Argsh($x)<td>inverse parabolic<td><tt>asinh(x)</tt> or <tt>argsh(x)</tt> |
| 48 | <br>or <tt>Argsh(x) |
48 | <br>or <tt>Argsh(x)</tt> |
| 49 | <tr><td>Argch($x)<td>inverse parabolic<td><tt>acosh(x)</tt> or <tt>argch(x) |
49 | <tr><td>Argch($x)<td>inverse parabolic<td><tt>acosh(x)</tt> or <tt>argch(x)</tt> |
| 50 | <br>or <tt>Argch(x) |
50 | <br>or <tt>Argch(x)</tt> |
| 51 | <tr><td>Argth($x)<td>inverse parabolic<td><tt>atanh(x)</tt> or <tt>argth(x) |
51 | <tr><td>Argth($x)<td>inverse parabolic<td><tt>atanh(x)</tt> or <tt>argth(x)</tt> |
| 52 | <br>or <tt>Argth(x) |
52 | <br>or <tt>Argth(x)</tt> |
| 53 | <tr><td>max(x,y)<td>Bigger among x and y<td><tt>max(x,y) |
53 | <tr><td>max(x,y)<td>Bigger among x and y<td><tt>max(x,y)</tt> |
| 54 | <tr><td>min(x,y)<td>Smaller among x and y<td><tt>min(x,y) |
54 | <tr><td>min(x,y)<td>Smaller among x and y<td><tt>min(x,y) |
| 55 | <tr><td>gcd(x,y)<td>Greatest Common Divisor<td><tt>max(x,y) |
55 | <tr><td>gcd(x,y)<td>Greatest Common Divisor<td><tt>max(x,y) |
| 56 | <tr><td>lcm(x,y)<td>Least Commun Multiple<td><tt>min(x,y) |
56 | <tr><td>lcm(x,y)<td>Least Commun Multiple<td><tt>min(x,y) |
| 57 | </table></center> |
57 | </table></center> |
| 58 | !exit |
58 | !exit |
| 59 | 59 | ||
| 60 | !! Add the following: |
60 | !! Add the following: |
| 61 | < |
61 | <ul> |
| 62 | < |
62 | <li>lg(x): log of base 10</LI> |
| 63 | < |
63 | <li>j0(x), j1(x), y0(x), y1(x): Bessel functions</LI> |
| 64 | </ |
64 | </ul> |
| 65 | 65 | ||