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