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2 | 2 | ||
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 |
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7 | $table_header |
- | 8 | $table_tr |
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8 |
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9 | $table_tr<th>Function<th>Description<th>How to type |
9 | <tr> |
- | |
10 |
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10 | $table_tr<td>$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>PI</tt> |
12 | <tt>pi</tt> or <tt>Pi</tt> or <tt>PI</tt> |
13 |
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13 | $table_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 | |
16 |
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16 | $table_tr<td>|$x|<td>absolute value of $x<td><tt>abs(x) |
17 |
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17 | $table_tr<td>sign($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 |
|
20 | $table_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)</tt> |
23 | <td><tt>sqrt(x)</tt> or <tt>x^(1/2)</tt> |
24 |
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24 | $table_tr<td>?<td>closest integer to $x<td><tt>rint(x)</tt> |
25 |
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25 | $table_tr<td>?<td>largest integer <=$x<td><tt>floor(x)</tt> |
26 |
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26 | $table_tr<td>?<td>smallest integer >=$x<td><tt>ceil(x)</tt> |
27 |
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27 | $table_tr |
28 |
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28 | $table_tr<td><i>e<sup>x</sup><td>exponential<td> |
29 | <tt>exp(x)</tt> or <tt>e^x</tt> or <tt>E^x</tt> |
29 | <tt>exp(x)</tt> or <tt>e^x</tt> or <tt>E^x</tt> |
30 |
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30 | $table_tr<td>ln($x)<td>natural logarithmic<td><tt>log(x)</tt> or <tt>ln(x)</tt> |
31 |
|
31 | $table_tr |
32 |
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32 | $table_tr<td>sin($x)<td>trigonometric sine<td><tt>sin(x) |
33 |
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33 | $table_tr<td>cos($x)<td>trigonometric cosine<td><tt>cos(x) |
34 |
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34 | $table_tr<td>tg($x)<td>trigonometric tangent<td><tt>tan(x)</tt> or <tt>tg(x)</tt> |
35 |
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35 | $table_tr<td>ctg($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 |
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37 | $table_tr<td>arcsin($x)<td>inverse trigonometric<td><tt>asin(x)</tt> or |
38 | <tt>arcsin(x)</tt> |
38 | <tt>arcsin(x)</tt> |
39 |
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39 | $table_tr<td>arccos($x)<td>inverse trigonometric<td><tt>acos(x)</tt> or |
40 | <tt>arccos(x)</tt> |
40 | <tt>arccos(x)</tt> |
41 |
|
41 | $table_tr<td>arctg($x)<td>inverse trigonometric<td><tt>atan(x)</tt> or |
42 | <tt>arctan(x)</tt> <br>or <tt>arctg(x)</tt> |
42 | <tt>arctan(x)</tt> <br>or <tt>arctg(x)</tt> |
43 |
|
43 | $table_tr |
44 |
|
44 | $table_tr<td>sh($x)<td>parabolic sine<td><tt>sh(x)</tt> or <tt>sinh(x)</tt> |
45 |
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45 | $table_tr<td>ch($x)<td>parabolic cosine<td><tt>ch(x)</tt> or <tt>cosh(x)</tt> |
46 |
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46 | $table_tr<td>th($x)<td>parabolic tangent<td><tt>th(x)</tt> or <tt>tanh(x)</tt> |
47 |
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47 | $table_tr<td>Argsh($x)<td>inverse parabolic<td><tt>asinh(x)</tt> or <tt>argsh(x)</tt> |
48 | <br>or <tt>Argsh(x)</tt> |
48 | <br>or <tt>Argsh(x)</tt> |
49 |
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49 | $table_tr<td>Argch($x)<td>inverse parabolic<td><tt>acosh(x)</tt> or <tt>argch(x)</tt> |
50 | <br>or <tt>Argch(x)</tt> |
50 | <br>or <tt>Argch(x)</tt> |
51 |
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51 | $table_tr<td>Argth($x)<td>inverse parabolic<td><tt>atanh(x)</tt> or <tt>argth(x)</tt> |
52 | <br>or <tt>Argth(x)</tt> |
52 | <br>or <tt>Argth(x)</tt> |
53 |
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53 | $table_tr<td>max(x,y)<td>Bigger among x and y<td><tt>max(x,y)</tt> |
54 |
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54 | $table_tr<td>min(x,y)<td>Smaller among x and y<td><tt>min(x,y) |
55 |
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55 | $table_tr<td>gcd(x,y)<td>Greatest Common Divisor<td><tt>max(x,y) |
56 |
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56 | $table_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 | <ul> |
61 | <ul> |