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  1. !if $lang=cn
  2. <p><center><h2>²ÎÊýº¯Êý±í</h2></center>
  3.  
  4. <p>$table_header
  5. <caption>Ëæ»ú»¯</caption>
  6. $table_tr<th>º¯Êý<th>Ч¹û
  7. $table_tr<td><tt>random(-5..5)
  8.     <td>-5 Óë 5 Ö®¼äµÄËæ»úÊý
  9. $table_tr<td><tt>randint(-5..5)
  10.     <td>-5 Óë 5 Ö®¼äµÄËæ»úÕûÊý(°üÀ¨Á½¶Ë)
  11. $table_tr<td><tt>random(1,2,3,a,b,c)
  12.     <td>{1,2,3,a,b,c} ÀïËæ»úÑ¡Ò»Ïî
  13. $table_tr<td><tt>shuffle(6)
  14.     <td>6 ¸öÕûÊý 1,2,...,6, µÄËæ»úÅÅÁÐ.
  15. $table_tr<td><tt>shuffle(a,b,c,d,e)
  16.     <td>×Öĸ {a,b,c,d,e} µÄËæ»úÅÅÁÐ.
  17. $table_tr<td><tt>randomitem(\list)
  18.     <td>ÔÚ(¶ººÅ·Ö¸ôµÄ)±í \list ÄÚËæ»úÑ¡Ò»Ïî.
  19. $table_tr<td><tt>randomrow(\mat)
  20.     <td>¾ØÕó \mat ÄÚËæ»úÑ¡Ò»ÐÐ.
  21. $table_end
  22. <p>$table_header
  23. <caption>Êý¾ÝÓë±íµÄ²Ù×÷</caption>
  24. $table_tr<td><tt>items(a,b,c,d,e,f)
  25.     <td>±í {a,b,c,d,e,f} µÄÏîÊý(ÕâÀïÊÇ 6)    
  26. $table_tr<td><tt>item(3,a,b,c,d,e,f)
  27.     <td>±í {a,b,c,d,e,f} µÄµÚ 3 Ïî(ÕâÀïÊÇ c)
  28. $table_tr<td><tt>item(3,\ll)
  29.     <td>±í \ll µÄµÚ 3 Ïî(ͬ <tt>\ll[3]</tt>)
  30. $table_tr<td><tt>item(2..5,a,b,c,d,e,f)
  31.     <td>±í {a,b,c,d,e,f} µÄµÚ 2 ÖÁ 5 Ïî(ÕâÀïÊÇ b,c,d,e)
  32. $table_tr<td><tt>item([2,4],\ll)
  33.     <td>±í \ll µÄµÚ 2 ¼°µÚ 4 Ïî(ͬ <tt>\ll[2,4]</tt>)
  34. $table_tr<td><tt>position(make,do,go,make,take)
  35.     <td>Ïî `make' ÔÚ±í {do,go,make,take} ÀïµÄλÖÃ(ÕâÀïÊÇ 3)
  36. $table_tr<td><tt>rows(\m)
  37.    <td>¾ØÕó \m µÄÐÐÊý
  38. $table_tr<td><tt>row(2,\m)
  39.    <td>¾ØÕó \m µÄµÚ 2 ÐÐ(ͬ <tt>\m[2;]</tt>)
  40. $table_tr<td><tt>row(2..5,\m)
  41.    <td>¾ØÕó \m µÄµÚ 2 ÖÁ 5 Ðй¹³ÉµÄ×Ó¾ØÕó(ͬ <tt>\m[2..5;]</tt>)
  42. $table_tr<td><tt>row([1,3],1,2,3<br>3,4,5<br>5,6,7)
  43.    <td>ÓÉ 3&times;3 ¾ØÕóµÄµÚ 1, 3 Ðй¹³ÉµÄ×Ó¾ØÕó
  44. $table_tr<td><tt>row(column 1 > 1 and column 2 = good,\mat)
  45.    <td>\mat µÄ×Ó¾ØÕó, ÆäÖÐÿÐÐµÄµÚ 1 ÁÐ > 1, µÚ 2 ÁÐÊÇ´Ê `good'
  46. $table_tr<td><tt>randomitem(\list)
  47.     <td>(ÓöººÅ·Ö¸ôµÄ)±í \list µÄËæ»úÏî.
  48. $table_tr<td><tt>randomrow(\mat)
  49.     <td>¾ØÕó \mat µÄËæ»úÐÐ.
  50. $table_tr<td><tt>column(2,\m)
  51.     <td>¾ØÕó \m µÄµÚ 2 ÁÐÔªËØ, ×÷ΪÓöººÅ·Ö¸ôµÄ±í(ͬ <tt>\m[;2]</tt>)
  52. $table_tr<td><tt>column(2..5,\m)
  53.     <td>\m µÄµÚ 2 ÖÁ 5 Áй¹³ÉµÄ×Ó¾ØÕó(ͬ <tt>\m[;2..5]</tt>)
  54. $table_tr<td><tt>column([1,3],1,2,3<br>3,4,5<br>5,6,7)
  55.     <td>ÓÉ 3&times;3 ¾ØÕóµÄ 1, 3 Áй¹³ÉµÄ×Ó¾ØÕó
  56.  
  57. $table_end<p>$table_header
  58. <caption>Êýѧº¯Êý</caption>
  59. $table_tr<td><tt>evalue(x^2+sin(y),x=3,y=4)
  60.     <td>º¯Êý x^2+sin(y)ÔÚ x=3, y=4 ´¦¸³Öµ
  61. $table_tr<td><tt>solve(x^3-3*x+1,x=0..1)
  62.     <td>x^3-3x+1 ÔÚ 0 Óë 1 ¼äµÄµ¥¸ù
  63. $table_tr<td><tt>simplify(x^5*y^3/x^2/y)
  64.     <td>»¯¼ò: x<sup>3</sup>y<sup>2</sup>
  65. $table_tr<td><tt>diff(sin(x)+cos(y),x)
  66.     <td>sin(x)+cos(y) ¹ØÓÚ x µÄµ¼Êý
  67. $table_tr<td><tt>int(x^2+3*x+1,x)
  68.     <td>x^2+3*x+1 µÄÔ­º¯Êý, ³£ÊýÏî²»¶¨
  69. !!$table_tr<td><tt>int(t^2+3*t+1,t=1..x)
  70. !!    <td>x^2+3*x+1 µÄÔ­º¯Êý g, Âú×ã g(1)=0
  71. $table_tr<td><tt>int(t^2+3*t+1,t=0..1)
  72.     <td>x^2+3*x+1 ´Ó 0 µ½ 1 µÄÊýÖµ»ý·Ö
  73. $table_tr<td><tt>det(\mat)
  74.     <td>¾ØÕó \mat µÄÐÐÁÐʽ
  75. $table_tr<td><tt>htmlmath(2*x^2+3*x)
  76.     <td>html ¸ñʽÏ´˹«Ê½µÄ×î¼ÑÐÎʽ: 2x<sup>2</sup>+3x
  77. $table_tr<td><tt>texmath(2*x^2+3*x)
  78.     <td>±í´ïʽµÄTeXÔ´Âë
  79.  
  80. $table_end<p>$table_header
  81. <caption>¸ß¼¶¹¦ÄÜ</caption>
  82. $table_tr<td><tt>pari(factor(2^101-1))
  83.     <td>µ÷Óà PARI/GP: ÕâÀïÊÇ·Ö½âÕûÊý
  84. $table_tr<td><tt>maxima(integrate(x^2+1,x);)
  85.     <td>µ÷Óà Maxima: ÕâÀïÊÇ»ý·ÖÒ»¸öº¯Êý
  86. $table_tr<td><tt>yacas(Taylor(x,0,10) cos(x^2+x+1))
  87.     <td>µ÷Óà Yacas: ÕâÀïÊǼÆËãTaylorÕ¹¿ªÊ½
  88. $table_tr<td><tt>wims(sort items \list)
  89.     <td>µ÷Óà wims µÄ !sort ÃüÁî¶Ô±í \list µÄÏîÅÅÐò
  90. $table_tr<td><tt>wims(listintersect \list1 and \list2)
  91.     <td>µ÷Óà wims µÄ !listintersect ÃüÁîµÃµ½ \list1 Óë \list2 µÄ¹«¹²Ïî
  92. $table_tr<td><tt>draw(»æͼԴÂë ...)
  93.     <td>»­Ò»¸öͼ, »æͼԴÂëͬ <tt>\draw</tt>,
  94.     µÚ 1 ÐÐÊÇͼÐδóС. Êä³öÊÇͼÐ뵀 URL.
  95. $table_tr<td><tt>slib(matrix/invertible 3,5)
  96.     <td>¶ÁÈë
  97.     !href module=help/wimsdoc&subject=slib#slib WIMS slib
  98.   µÄ matrix/invertible ÒÔÉú³ÉÒ»¸ö¿ÉÄæ 3x3 ¾ØÕó, ÔªËØÈ¡Öµ·¶Î§ 5.
  99. $table_end
  100.  
  101. <p>
  102. ¿ÉÓõIJÎÊýÀàÐÍ: integer(ÕûÊý), real(ʵÊý), complex(¸´Êý), function(º¯Êý), text(ÎÄ×Ö), matrix(¾ØÕó).
  103. <p>
  104. !exit
  105. !endif
  106.  
  107. <p><center><h2>Complete list of parameter functions</h2></center>
  108.  
  109. <p>$table_header
  110. <caption>Randomization</caption>
  111. $table_tr<th>Function</th><th>Effect</th></tr>
  112. $table_tr<td><tt>random(-5..5)</tt>
  113.     </td><td>a random number between -5 and 5</td></tr>
  114. $table_tr<td><tt>randint(-5..5)</tt>
  115.     </td><td>a random integer between -5 and 5 (inclusive)</td></tr>
  116. $table_tr<td><tt>random(1,2,3,a,b,c)</tt>
  117.     </td><td>a random item within {1,2,3,a,b,c}</td></tr>
  118. $table_tr<td><tt>shuffle(6)</tt>
  119.     </td><td>a list of 6 integers 1,2,...,6, in a random order.</td></tr>
  120. $table_tr<td><tt>shuffle(a,b,c,d,e)</tt>
  121.     </td><td>the list of letters {a,b,c,d,e}, in a random order.</td></tr>
  122. $table_tr<td><tt>randomitem(\list)</tt>
  123.     </td><td>a random item of (comma-separated) \list.</td></tr>
  124. $table_tr<td><tt>randomrow(\mat)</tt>
  125.     </td><td>a random row of the matrix \mat.
  126. $table_end
  127. <p>$table_header
  128. <caption>Data and list manipulation</caption>
  129. $table_tr<td><tt>items(a,b,c,d,e,f)</tt>
  130.     </td><td>the number of items (here it's 6) in the list
  131.     {a,b,c,d,e,f}</td></tr>
  132. $table_tr<td><tt>item(3,a,b,c,d,e,f)</tt>
  133.    </td><td>item number 3 of the list {a,b,c,d,e,f} (hence c)</td></tr>
  134. $table_tr<td><tt>item(3,\ll)</tt>
  135.    </td><td>item number 3 of the list \ll (same as <tt>\ll[3]</tt>)</td></tr>
  136. $table_tr<td><tt>item(2..5,a,b,c,d,e,f)</tt>
  137.    </td><td>items number 2 to 5 of the list {a,b,c,d,e,f} (hence b,c,d,e)</td></tr>
  138. $table_tr<td><tt>item([2,4],\ll)</tt>
  139.    </td><td>items number 2 and 4 of the list \ll (same as
  140.    <tt>\ll[2,4]</tt>)</td></tr>
  141. $table_tr<td><tt>position(make,do,go,make,take)</tt>
  142.    </td><td>number of position of the item `make' in the list
  143.     {do,go,make,take} (hence 3)</td></tr>
  144. $table_tr<td><tt>rows(\m)</tt>
  145.     </td><td>the number of rows in the matrix \m</td></tr>
  146. $table_tr<td><tt>row(2,\m)</tt>
  147.     </td><td>row number 2 of the matrix \m (same as <tt>\m[2;]</tt>)</td></tr>
  148. $table_tr<td><tt>row(2..5,\m)</tt>
  149.     </td><td>the submatrix of \m consisting of rows number 2 to 5
  150.     (same as <tt>\m[2..5;]</tt>)</td></tr>
  151. $table_tr<td><tt>row([1,3],1,2,3<br>3,4,5<br>5,6,7)
  152.     </td><td>the submatrix of the 3&times;3 matrix consisting of the first
  153.     and the last rows</td></tr>
  154. $table_tr<td><tt>row(column 1 > 1 and column 2 = good,\mat)</tt>
  155.     </td><td>the submatrix of \mat consisting of rows where column 1 is > 1 and
  156.     column 2 is the word `good'</td></tr>
  157. $table_tr<td><tt>randomitem(\list)</tt>
  158.    </td><td>a random item of (comma-separated) \list.</td></tr>
  159. $table_tr<td><tt>randomrow(\mat)</tt>
  160.    </td><td>a random row of the matrix \mat.</td></tr>
  161. $table_tr<td><tt>column(2,\m)</tt>
  162.    </td><td>items of column number 2 of the matrix \m,
  163.    as a comma-separated list (same as <tt>\m[;2]</tt>)</td></tr>
  164. $table_tr<td><tt>column(2..5,\m)</tt>
  165.    </td><td>the submatrix of \m consisting of columns number 2 to 5
  166.    (same as <tt>\m[;2..5]</tt>)</td></tr>
  167. $table_tr<td><tt>column([1,3],1,2,3<br>3,4,5<br>5,6,7)
  168.    </td><td>the submatrix of the 3&times;3 matrix consisting of the first
  169.    and the last columns</td></tr>
  170. $table_tr<td><tt>asis(How do you do? item(1,2,3))</tt>
  171.    </td><td>the string as it is, protected from transformations and conditionality.
  172.  
  173. $table_end<p>$table_header
  174. <caption>Mathematical functions</caption></td></tr>
  175. $table_tr<td><tt>evalue(x^2+sin(y),x=3,y=4)</tt>
  176.    </td><td>evaluation of the function x^2+sin(y),<br>
  177.    for x=3, y=4</td></tr>
  178. $table_tr<td><tt>solve(x^3-3*x+1,x=0..1)</tt>
  179.    </td><td>the simple root of x^3-3x+1 between 0 and 1</td></tr>
  180. $table_tr<td><tt>simplify(x^5*y^3*x^2/y)</tt>
  181.    </td><td>simplified expression: x<sup>7</sup>y<sup>2</sup></td></tr>
  182. $table_tr<td><tt>diff(sin(x)+cos(y),x)</tt>
  183.    </td><td>the derivative of sin(x)+cos(y) with respect to x</td></tr>
  184. $table_tr<td><tt>int(x^2+3*x+1,x)</tt>
  185.    </td><td>anti-derivative of x^2+3*x+1,<br>
  186.     the constant term being undertermined</td></tr>
  187. !!$table_tr<td><tt>int(t^2+3*t+1,t=1..x)
  188. !!    <td>the anti-derivative g of x^2+3*x+1 such that g(1)=0
  189. $table_tr<td><tt>int(t^2+3*t+1,t=0..1)
  190.    </td><td>the numerical integration of x^2+3*x+1, from 0 to 1</td></tr>
  191. $table_tr<td><tt>det(\mat)</tt>
  192.    </td><td>determinant of the matrix \mat</td></tr>
  193. $table_tr<td><tt>htmlmath(2*x^2+3*x)</tt>
  194.    </td><td>the best possible way to render the expression<br>
  195.    in html way: 2x<sup>2</sup>+3x</td></tr>
  196. $table_tr<td><tt>texmath(2*x^2+3*x)</tt>
  197.    </td><td>the TeX source of the expression</td></tr>
  198.  
  199. $table_end<p>$table_header
  200. <caption>Advanced facilities</caption>
  201. $table_tr<td><tt>pari(factor(2^101-1))</tt>
  202.    </td><td>call PARI/GP: here to factor an integer</td></tr>
  203. $table_tr<td><tt>maxima(integrate(x^2+1,x);)</tt>
  204.    </td><td>call Maxima: here to integrate a function</td></tr>
  205. $table_tr<td><tt>yacas(Taylor(x,0,10) cos(x^2+x+1))</tt>
  206.    </td><td>call Yacas: here to compute a Taylor expansion</td></tr>
  207. $table_tr<td><tt>wims(sort items \list)</tt>
  208.    </td><td>use wims !sort command to sort items in the list \list</td></tr>
  209. $table_tr<td><tt>wims(listintersect \list1 and \list2)</tt>
  210.    </td><td>use wims !listintersect command to get the common items of
  211.    \list1 and \list2</td></tr>
  212. $table_tr<td><tt>draw(pixel_size_x,pixel_size_y<br>draw_source)</tt>
  213.    </td><td>draw a picture, the source is the same as in <tt>\draw</tt>,
  214.    with the image size as the first line.
  215.    The output is an image URL.</td></tr>
  216. $table_tr<td><tt>slib(matrix/invertible 3,5)</tt>
  217.    </td><td>Read
  218.    !href module=help/wimsdoc&subject=slib#slib WIMS slib
  219.    matrix/invertible to generate an invertible 3x3
  220.    matrix of range 5.</td></tr>
  221. $table_end
  222.  
  223. <p>
  224. Available types of parameters: integer, real, complex, function, text, matrix.
  225. <p>
  226.  
  227.  
  228.