Subversion Repositories wimsdev

Rev

Rev 5947 | Go to most recent revision | Show entire file | Ignore whitespace | Details | Blame | Last modification | View Log | RSS feed

Rev 5947 Rev 6133
Line 1... Line 1...
1 
<center><h3>Random parameters in an interactive exercise</h3></center> <p>
 1 
<h3>Random parameters in an interactive exercise</h3>
2 
 
 2 
 
3 
The use of random parameters makes your exercise much more interesting,
 3 
The use of random parameters makes your exercise much more interesting,
4 
because it will be a different exercise each time it is requested.
 4 
because it will be a different exercise each time it is requested.
5 
<p>
 5 
<p>
6 
For example, the following line defines a parameter under the name of
 6 
For example, the following line defines a parameter under the name of
Line 39... Line 39...
39 
$table_header
 39 
$table_header
40 
<caption>Some other examples of parameters
 40 
<caption>Some other examples of parameters
41 
!href cmd=help&special_parm=$special_parm,oefparm#list [complete list]
 41 
!href cmd=help&special_parm=$special_parm,oefparm#list [complete list]
42 
</caption>
 42 
</caption>
43 
$table_hdtr<th>Definition</th><th>Effect</th></tr>
 43 
$table_hdtr<th>Definition</th><th>Effect</th></tr>
44 
$table_tr<td><span class="tt wims_code_words">\real{x=random(-5..5)}</span>
 44 
$table_tr<td class="tt wims_code_words">\real{x=random(-5..5)}
45 
    </td><td>\x will be a random real number<br/>between -5 and 5
 45 
    </td><td>\x will be a random real number<br/>between -5 and 5
46 
</td></tr>
 46 
</td></tr>
47 
$table_tr<td><span class="tt wims_code_words">\real{a=random(-5,-3,0.3,4)}</span>
 47 
$table_tr<td class="tt wims_code_words">\real{a=random(-5,-3,0.3,4)}
48 
    </td><td>\a will be a real number taken randomly<br/>among -5,-3,0.3 and 4
 48 
    </td><td>\a will be a real number taken randomly<br/>among -5,-3,0.3 and 4
49 
</td></tr>
 49 
</td></tr>
50 
$table_tr<td><span class="tt wims_code_words">\complex{z=(1+2*i)^3}</span>
 50 
$table_tr<td class="tt wims_code_words">\complex{z=(1+2*i)^3}
51 
    </td><td>\z will be the complex number (1+2*i)^3
 51 
    </td><td>\z will be the complex number (1+2*i)^3
52 
</td></tr>
 52 
</td></tr>
53 
$table_tr<td><span class="tt wims_code_words">\text{sign=random(+,-)}</span>
 53 
$table_tr<td class="tt wims_code_words">\text{sign=random(+,-)}
54 
    </td><td>\sign will be a random sign: + ou -
 54 
    </td><td>\sign will be a random sign: + ou -
55 
</td></tr>
 55 
</td></tr>
56 
$table_tr<td><span class="tt wims_code_words">\integer{n=3*exp(\a)}</span>
 56 
$table_tr<td class="tt wims_code_words">\integer{n=3*exp(\a)}
57 
    </td><td>\n will be the closest integer to 3*e<sup>\a</sup> <br/>(it depends on
 57 
    </td><td>\n will be the closest integer to 3*e<sup>\a</sup> <br/>(it depends on
58 
    the value of \a)
 58 
    the value of \a)
59 
</td></tr>
 59 
</td></tr>
60 
$table_tr<td><span class="tt wims_code_words">\function{f=random<br/> (x^2+1,sin(x),log(x))}</span>
 60 
$table_tr<td class="tt wims_code_words">\function{f=random<br/> (x^2+1,sin(x),log(x))}
61 
    </td><td>\f will be a random function: either x^2+1,<br/>or sin(x), or
 61 
    </td><td>\f will be a random function: either x^2+1,<br/>or sin(x), or
62 
    log(x)
 62 
    log(x)
63 
</td></tr>
 63 
</td></tr>
64 
$table_tr<td><span class="tt wims_code_words">\real{a=evalue(x^2+sin(y),x=3,y=4)}</span>
 64 
$table_tr<td class="tt wims_code_words">\real{a=evalue(x^2+sin(y),x=3,y=4)}
65 
    </td><td>Evaluation of the function x^2+sin(y),<br/>
 65 
    </td><td>Evaluation of the function x^2+sin(y),<br/>
66 
    for x=3, y=4
 66 
    for x=3, y=4
67 
</td></tr>
 67 
</td></tr>
68 
$table_tr<td><span class="tt wims_code_words">\real{r=solve(x^3-3*x+1,x=0..1)}</span>
 68 
$table_tr<td class="tt wims_code_words">\real{r=solve(x^3-3*x+1,x=0..1)}
69 
    </td><td>\r will the the simple root of x^3-3x+1 between 0 and 1
 69 
    </td><td>\r will the the simple root of x^3-3x+1 between 0 and 1
70 
</td></tr>
 70 
</td></tr>
71 
$table_tr<td><span class="tt wims_code_words">\function{h=simplify(x^5*y^3*x^2/y)}</span>
 71 
$table_tr<td class="tt wims_code_words">\function{h=simplify(x^5*y^3*x^2/y)}
72 
    </td><td>Simplified expression: x<sup>7</sup>y<sup>2</sup>
 72 
    </td><td>Simplified expression: x<sup>7</sup>y<sup>2</sup>
73 
</td></tr>
 73 
</td></tr>
74 
$table_tr<td><span class="tt wims_code_words">\function{g=diff(sin(x)+cos(y),x)}</span>
 74 
$table_tr<td class="tt wims_code_words">\function{g=diff(sin(x)+cos(y),x)}
75 
    </td><td>\g will the the derivative of sin(x)+cos(y) with respect to x
 75 
    </td><td>\g will the the derivative of sin(x)+cos(y) with respect to x
76 
</td></tr>
 76 
</td></tr>
77 
$table_tr<td><span class="tt wims_code_words">\function{F=int(x^2+3*x+1,x)}</span>
 77 
$table_tr<td class="tt wims_code_words">\function{F=int(x^2+3*x+1,x)}
78 
    </td><td>\F will an antiderivative of x^2+3*x+1,<br/>
 78 
    </td><td>\F will an antiderivative of x^2+3*x+1,<br/>
79 
     the constant term being not garanteed to be always the same
 79 
     the constant term being not garanteed to be always the same
80 
!!$table_tr<td><span class="tt wims_code_words">\function{F=int(t^2+3*t+1,t=1..x)}</span>
 80 
!!$table_tr<td class="tt wims_code_words">\function{F=int(t^2+3*t+1,t=1..x)}
81 
!!    </td><td>\F will the antiderivative of x^2+3*x+1 with g(1)=0
 81 
!!    </td><td>\F will the antiderivative of x^2+3*x+1 with g(1)=0
82 
</td></tr>
 82 
</td></tr>
83 
$table_tr<td><span class="tt wims_code_words">\real{a=int(t^2+3*t+1,t=0..1)}</span>
 83 
$table_tr<td class="tt wims_code_words">\real{a=int(t^2+3*t+1,t=0..1)}
84 
    </td><td>\a will the numerical integral of x^2+3*x+1 from 0 to 1
 84 
    </td><td>\a will the numerical integral of x^2+3*x+1 from 0 to 1
85 
</td></tr>
 85 
</td></tr>
86 
$table_tr<td><span class="tt wims_code_words">\text{f=htmlmath(2*x^2+3*x)}</span>
 86 
$table_tr<td class="tt wims_code_words">\text{f=htmlmath(2*x^2+3*x)}
87 
    </td><td>\f will be rendered in html as: 2x<sup>2</sup>+3x
 87 
    </td><td>\f will be rendered in html as: 2x<sup>2</sup>+3x
88 
</td></tr>
 88 
</td></tr>
89 
$table_tr<td><span class="tt wims_code_words">\text{f=texmath(2*x^2+3*x)}</span>
 89 
$table_tr<td class="tt wims_code_words">\text{f=texmath(2*x^2+3*x)}
90 
    </td><td>\f will be the TeX source for the expression.
 90 
    </td><td>\f will be the TeX source for the expression.
91 
</td></tr>
 91 
</td></tr>
92 
$table_tr<td><span class="tt wims_code_words">\integer{n=items(a,b,c,d,e,f)}</span>
 92 
$table_tr<td class="tt wims_code_words">\integer{n=items(a,b,c,d,e,f)}
93 
    </td><td>\n will be the number of items (here it is 6) in the list
 93 
    </td><td>\n will be the number of items (here it is 6) in the list
94 
     {a,b,c,d,e,f}
 94 
     {a,b,c,d,e,f}
95 
</td></tr>
 95 
</td></tr>
96 
$table_tr<td><span class="tt wims_code_words">\text{i=item(3,a,b,c,d,e,f)}</span>
 96 
$table_tr<td class="tt wims_code_words">\text{i=item(3,a,b,c,d,e,f)}
97 
    </td><td>\i will be the item number 3 of the list
 97 
    </td><td>\i will be the item number 3 of the list
98 
     {a,b,c,d,e,f} (hence c).
 98 
     {a,b,c,d,e,f} (hence c).
99 
</td></tr>
 99 
</td></tr>
100 
$table_tr<td><span class="tt wims_code_words">\text{s=shuffle(6)}</span>
 100 
$table_tr<td class="tt wims_code_words">\text{s=shuffle(6)}
101 
    </td><td>\s will be the list of 6 integers 1,2,...,6, in random order.
 101 
    </td><td>\s will be the list of 6 integers 1,2,...,6, in random order.
102 
</td></tr>
 102 
</td></tr>
103 
$table_tr<td><span class="tt wims_code_words">\text{s=shuffle(a,b,c,d,e)}</span>
 103 
$table_tr<td class="tt wims_code_words">\text{s=shuffle(a,b,c,d,e)}
104 
    </td><td>\s will be the letters {a,b,c,d,e} in random order.
 104 
    </td><td>\s will be the letters {a,b,c,d,e} in random order.
105 
</td></tr>
 105 
</td></tr>
106 
$table_tr<td><span class="tt wims_code_words">\matrix{m=1,2,3<br/>4,5,6<br/>7,8,9}</span>
 106 
$table_tr<td class="tt wims_code_words">\matrix{m=1,2,3<br/>4,5,6<br/>7,8,9}
107 
    </td><td>\m will be the matrix of 3 rows and 3 columns.
 107 
    </td><td>\m will be the matrix of 3 rows and 3 columns.
108 
</td></tr>
 108 
</td></tr>
109 
$table_tr<td><span class="tt wims_code_words">\text{t=asis(How do you do? item(1,2,3))}</span>
 109 
$table_tr<td class="tt wims_code_words">\text{t=asis(How do you do? item(1,2,3))}
110 
    </td><td>The string as it is, with no transformation nor conditionality.
 110 
    </td><td>The string as it is, with no transformation nor conditionality.
111 
</td></tr>
 111 
</td></tr>
112 
$table_end
 112 
$table_end
113 
 
 113 
 
114 
Conditional parameters: You may write
 114 
Conditional parameters: You may write