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  1.  
  2. <p><center><h2>Complete list of parameter functions</h2></center>
  3.  
  4. <p>$table_header
  5. <caption>Randomization</caption>
  6. $table_tr<th>Function</th><th>Effect</th></tr>
  7. $table_tr<td><tt>random(-5..5)</tt>
  8.     </td><td>a random number between -5 and 5</td></tr>
  9. $table_tr<td><tt>randint(-5..5)</tt>
  10.     </td><td>a random integer between -5 and 5 (inclusive)</td></tr>
  11. $table_tr<td><tt>random(1,2,3,a,b,c)</tt>
  12.     </td><td>a random item within {1,2,3,a,b,c}</td></tr>
  13. $table_tr<td><tt>shuffle(6)</tt>
  14.     </td><td>a list of 6 integers 1,2,...,6, in a random order.</td></tr>
  15. $table_tr<td><tt>shuffle(a,b,c,d,e)</tt>
  16.     </td><td>the list of letters {a,b,c,d,e}, in a random order.</td></tr>
  17. $table_tr<td><tt>randomitem(\list)</tt>
  18.     </td><td>a random item of (comma-separated) \list.</td></tr>
  19. $table_tr<td><tt>randomrow(\mat)</tt>
  20.     </td><td>a random row of the matrix \mat.
  21. $table_end
  22. <p>$table_header
  23. <caption>Data and list manipulation</caption>
  24. $table_tr<td><tt>items(a,b,c,d,e,f)</tt>
  25.     </td><td>the number of items (here it's 6) in the list
  26.     {a,b,c,d,e,f}</td></tr>
  27. $table_tr<td><tt>item(3,a,b,c,d,e,f)</tt>
  28.    </td><td>item number 3 of the list {a,b,c,d,e,f} (hence c)</td></tr>
  29. $table_tr<td><tt>item(3,\ll)</tt>
  30.    </td><td>item number 3 of the list \ll (same as <tt>\ll[3]</tt>)</td></tr>
  31. $table_tr<td><tt>item(2..5,a,b,c,d,e,f)</tt>
  32.    </td><td>items number 2 to 5 of the list {a,b,c,d,e,f} (hence b,c,d,e)</td></tr>
  33. $table_tr<td><tt>item([2,4],\ll)</tt>
  34.    </td><td>items number 2 and 4 of the list \ll (same as
  35.    <tt>\ll[2,4]</tt>)</td></tr>
  36. $table_tr<td><tt>position(make,do,go,make,take)</tt>
  37.    </td><td>number of position of the item `make' in the list
  38.     {do,go,make,take} (hence 3)</td></tr>
  39. $table_tr<td><tt>rows(\m)</tt>
  40.     </td><td>the number of rows in the matrix \m</td></tr>
  41. $table_tr<td><tt>row(2,\m)</tt>
  42.     </td><td>row number 2 of the matrix \m (same as <tt>\m[2;]</tt>)</td></tr>
  43. $table_tr<td><tt>row(2..5,\m)</tt>
  44.     </td><td>the submatrix of \m consisting of rows number 2 to 5
  45.     (same as <tt>\m[2..5;]</tt>)</td></tr>
  46. $table_tr<td><tt>row([1,3],1,2,3<br>3,4,5<br>5,6,7)
  47.     </td><td>the submatrix of the 3&times;3 matrix consisting of the first
  48.     and the last rows</td></tr>
  49. $table_tr<td><tt>row(column 1 > 1 and column 2 = good,\mat)</tt>
  50.     </td><td>the submatrix of \mat consisting of rows where column 1 is > 1 and
  51.     column 2 is the word `good'</td></tr>
  52. $table_tr<td><tt>randomitem(\list)</tt>
  53.    </td><td>a random item of (comma-separated) \list.</td></tr>
  54. $table_tr<td><tt>randomrow(\mat)</tt>
  55.    </td><td>a random row of the matrix \mat.</td></tr>
  56. $table_tr<td><tt>column(2,\m)</tt>
  57.    </td><td>items of column number 2 of the matrix \m,
  58.    as a comma-separated list (same as <tt>\m[;2]</tt>)</td></tr>
  59. $table_tr<td><tt>column(2..5,\m)</tt>
  60.    </td><td>the submatrix of \m consisting of columns number 2 to 5
  61.    (same as <tt>\m[;2..5]</tt>)</td></tr>
  62. $table_tr<td><tt>column([1,3],1,2,3<br>3,4,5<br>5,6,7)
  63.    </td><td>the submatrix of the 3&times;3 matrix consisting of the first
  64.    and the last columns</td></tr>
  65. $table_tr<td><tt>asis(How do you do? item(1,2,3))</tt>
  66.    </td><td>the string as it is, protected from transformations and conditionality.
  67.  
  68. $table_end<p>$table_header
  69. <caption>Mathematical functions</caption></td></tr>
  70. $table_tr<td><tt>evalue(x^2+sin(y),x=3,y=4)</tt>
  71.    </td><td>evaluation of the function x^2+sin(y),<br>
  72.    for x=3, y=4</td></tr>
  73. $table_tr<td><tt>solve(x^3-3*x+1,x=0..1)</tt>
  74.    </td><td>the simple root of x^3-3x+1 between 0 and 1</td></tr>
  75. $table_tr<td><tt>simplify(x^5*y^3*x^2/y)</tt>
  76.    </td><td>simplified expression: x<sup>7</sup>y<sup>2</sup></td></tr>
  77. $table_tr<td><tt>diff(sin(x)+cos(y),x)</tt>
  78.    </td><td>the derivative of sin(x)+cos(y) with respect to x</td></tr>
  79. $table_tr<td><tt>int(x^2+3*x+1,x)</tt>
  80.    </td><td>anti-derivative of x^2+3*x+1,<br>
  81.     the constant term being undertermined</td></tr>
  82. !!$table_tr<td><tt>int(t^2+3*t+1,t=1..x)
  83. !!    <td>the anti-derivative g of x^2+3*x+1 such that g(1)=0
  84. $table_tr<td><tt>int(t^2+3*t+1,t=0..1)
  85.    </td><td>the numerical integration of x^2+3*x+1, from 0 to 1</td></tr>
  86. $table_tr<td><tt>det(\mat)</tt>
  87.    </td><td>determinant of the matrix \mat</td></tr>
  88. $table_tr<td><tt>htmlmath(2*x^2+3*x)</tt>
  89.    </td><td>the best possible way to render the expression<br>
  90.    in html way: 2x<sup>2</sup>+3x</td></tr>
  91. $table_tr<td><tt>texmath(2*x^2+3*x)</tt>
  92.    </td><td>the TeX source of the expression</td></tr>
  93.  
  94. $table_end<p>$table_header
  95. <caption>Advanced facilities</caption>
  96. $table_tr<td><tt>pari(factor(2^101-1))</tt>
  97.    </td><td>call PARI/GP: here to factor an integer</td></tr>
  98. $table_tr<td><tt>maxima(integrate(x^2+1,x);)</tt>
  99.    </td><td>call Maxima: here to integrate a function</td></tr>
  100. $table_tr<td><tt>yacas(Taylor(x,0,10) cos(x^2+x+1))</tt>
  101.    </td><td>call Yacas: here to compute a Taylor expansion</td></tr>
  102. $table_tr<td><tt>wims(sort items \list)</tt>
  103.    </td><td>use wims !sort command to sort items in the list \list</td></tr>
  104. $table_tr<td><tt>wims(listintersect \list1 and \list2)</tt>
  105.    </td><td>use wims !listintersect command to get the common items of
  106.    \list1 and \list2</td></tr>
  107. $table_tr<td><tt>draw(pixel_size_x,pixel_size_y<br>draw_source)</tt>
  108.    </td><td>draw a picture, the source is the same as in <tt>\draw</tt>,
  109.    with the image size as the first line.
  110.    The output is an image URL.</td></tr>
  111. $table_tr<td><tt>slib(matrix/invertible 3,5)</tt>
  112.    </td><td>Read
  113.    !href module=help/wimsdoc&subject=slib#slib WIMS slib
  114.    matrix/invertible to generate an invertible 3x3
  115.    matrix of range 5.</td></tr>
  116. $table_end
  117.  
  118. <p>
  119. Available types of parameters: integer, real, rational, complex, function, text, matrix.
  120. <p>
  121.  
  122.  
  123.