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| 32 | reyssat | 1 | !set x=<i>x</i> |
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| 3 | <p> |
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| 4 | $x is a real number, which can be replaced by an expression, to allow |
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| 5 | composite functions. |
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| 6 | <p> |
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| 1046 | bpr | 7 | <center><table border=2 cellspacing=1 cellpadding=3 bgcolor="#d0e0c0"> |
| 32 | reyssat | 8 | <tr><th>function<th>description<th>how to type |
| 9 | <tr> |
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| 10 | <tr><td>$m_pi |
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| 11 | <td>constant known to all<td> |
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| 12 | <tt>pi</tt> or <tt>Pi</tt> or <tt>PI |
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| 13 | <tr><td><i>e</i><td>base of natural logarithmic<td> |
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| 14 | <tt>e</tt> or <tt>E</tt> |
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| 15 | <tr> |
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| 16 | <tr><td>|$x|<td>absolute value of $x<td><tt>abs(x) |
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| 17 | <tr><td>sign($x)<td>sign of $x: |
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| 18 | <br> =-1 if $x<0<br> =0 if $x=0<br> =1 if $x>0 |
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| 19 | <td><tt>sign(x) |
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| 20 | <tr><td> |
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| 21 | !instex $$ \sqrt x $$ |
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| 22 | <td>square root of $x |
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| 23 | <td><tt>sqrt(x)</tt> or <tt>x^(1/2) |
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| 24 | <tr><td>?<td>closest integer to $x<td><tt>rint(x) |
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| 25 | <tr><td>?<td>largest integer <=$x<td><tt>floor(x) |
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| 26 | <tr><td>?<td>smallest integer >=$x<td><tt>ceil(x) |
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| 27 | <tr> |
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| 28 | <tr><td><i>e<sup>x</sup><td>exponential<td> |
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| 29 | <tt>exp(x)</tt> or <tt>e^x</tt> or <tt>E^x |
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| 30 | <tr><td>ln($x)<td>natural logarithmic<td><tt>log(x)</tt> or <tt>ln(x) |
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| 31 | <tr> |
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| 32 | <tr><td>sin($x)<td>trigonometric sine<td><tt>sin(x) |
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| 33 | <tr><td>cos($x)<td>trigonometric cosine<td><tt>cos(x) |
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| 34 | <tr><td>tg($x)<td>trigonometric tangent<td><tt>tan(x)</tt> or <tt>tg(x) |
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| 35 | <tr><td>ctg($x)<td>trigonometric cotangent<td><tt>cotan(x)</tt> or <tt>ctg(x) |
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| 36 | </tt> <br> or <tt>cot(x) |
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| 37 | <tr><td>arcsin($x)<td>inverse trigonometric<td><tt>asin(x)</tt> or |
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| 38 | <tt>arcsin(x) |
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| 39 | <tr><td>arccos($x)<td>inverse trigonometric<td><tt>acos(x)</tt> or |
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| 40 | <tt>arccos(x) |
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| 41 | <tr><td>arctg($x)<td>inverse trigonometric<td><tt>atan(x)</tt> or |
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| 42 | <tt>arctan(x)</tt> <br>or <tt>arctg(x) |
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| 43 | <tr> |
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| 44 | <tr><td>sh($x)<td>parabolic sine<td><tt>sh(x)</tt> or <tt>sinh(x) |
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| 45 | <tr><td>ch($x)<td>parabolic cosine<td><tt>ch(x)</tt> or <tt>cosh(x) |
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| 46 | <tr><td>th($x)<td>parabolic tangent<td><tt>th(x)</tt> or <tt>tanh(x) |
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| 47 | <tr><td>Argsh($x)<td>inverse parabolic<td><tt>asinh(x)</tt> or <tt>argsh(x) |
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| 48 | <br>or <tt>Argsh(x) |
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| 49 | <tr><td>Argch($x)<td>inverse parabolic<td><tt>acosh(x)</tt> or <tt>argch(x) |
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| 50 | <br>or <tt>Argch(x) |
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| 51 | <tr><td>Argth($x)<td>inverse parabolic<td><tt>atanh(x)</tt> or <tt>argth(x) |
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| 52 | <br>or <tt>Argth(x) |
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| 53 | <tr><td>max(x,y)<td>Bigger among x and y<td><tt>max(x,y) |
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| 54 | <tr><td>min(x,y)<td>Smaller among x and y<td><tt>min(x,y) |
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| 55 | <tr><td>gcd(x,y)<td>Greatest Common Divisor<td><tt>max(x,y) |
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| 56 | <tr><td>lcm(x,y)<td>Least Commun Multiple<td><tt>min(x,y) |
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| 57 | </table></center> |
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| 58 | !exit |
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| 59 | |||
| 60 | !! Add the following: |
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| 61 | <UL> |
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| 62 | <LI>lg(x): log of base 10</LI> |
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| 63 | <LI>j0(x), j1(x), y0(x), y1(x): Bessel functions</LI> |
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| 64 | </UL> |
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| 65 |