[100] 061 HighSchool-scilab,
[100] 061
re-interpreted by www.msharpmath.com
revised on 2012.10.28
cemmath
The Simple is the Best
HighSchool-scilab, re-interpreted by msharpmath
The following website posts a pdf file for HighSchool education.
http://www.scilab.org/support/documentation/tutorials
Scilab for high schools Presentation Booklet
2010 edition – only available in French
This booklet, realized with the support of INRIA and co-written by the Scilab
Consortium and teachers is a practical introduction to Scilab with examples
based on French high school mathematics programs.
We downloaded the above file and re-interpret some parts in terms of
Msharpmath. The orginal commands in Scilab can be found in the booklet in
the above website. Later, we will handle those examples unsolved below.
■ Plot graphs.
double f(x) = (x^2+2*x)*exp(-x);
double g(x) = sin(x/2);
x = (-2,5).span(50);
plot (x,
f++(x));
plot+(x, g++(x));
1
[100] 061 HighSchool-scilab,
re-interpreted by www.msharpmath.com
Another way is using Umbrella ‘plot’ in Msharpmath as follows.
#> plot .x[50](-2,5) (
(x^2+2*x)*exp(-x) , sin(x/2) );
#> plot.x[100](-1,1).y[200](-2,2) ( 2*x^2 + y^2 );
#> plot.@t[100](0,4*pi) ( cos(t),sin(t),t );
2
[100] 061 HighSchool-scilab,
re-interpreted by www.msharpmath.com
■ arithmatic
#> 75 % 4 ; // remainder 75 = 4 * 18 + 3
ans =
#> -75 % 4 ;
3
// remainder -75 = -4 * 19 + 1
ans =
#> 75.factor;
1
// factorization
ans = [
#> U =
3
5
5]
1:10 ;;
#> U.sum1;
ans =
55
#> U.prod1;
ans =
3628800
#> v = [ 2, 6, 9, 6, -4, 0, 2 ];
v=
[
2
6
9
6
3
-4
0
2]
[100] 061 HighSchool-scilab,
#> ++v;
// unique(v) in Scilab
ans = [
2
6
#>w = [ 1,5,3,8,14,7,3,2,12,6 ];
w=
re-interpreted by www.msharpmath.com
[
1
5
3
9
-4
(w < 5).true;
8
14
7
ans =
[
1]
[
3]
[
7]
[
8]
Chapter 3
Example 3
#> a=3; b=4; c=sqrt(a^2 + b^2);
a=
3
b=
4
c=
5
#> double hypotenuse(a,b)=sqrt(a^2+b^2);
#> hypotenuse(4,5);
ans =
0]
6.4031242
Example 5
#> double u[100];
#> u[0] = 1;
4
3
2
12
6]
[100] 061 HighSchool-scilab,
re-interpreted by www.msharpmath.com
#> for(n = 0; n < 30; n++) u[n+1] = u[n]+2*n+1;
#> u[30];
ans =
961
Example 7
S = 5000;
N = 2009;
while( S < 7000 ) {
S *= 1.027;
N += 1;
}
#> [ N, S ];
ans = [
2022
7069.45 ]
Example 8
a = b = .zeros(1,40);;
a(1) = 20;
b(1) = 60;
for(n = 1; n <= 40; n++) {
a(n+1) = (2*a(n)+b(n))/4;;
b(n+1) = (a(n)+2*b(n))/4;;
[ n, a(n), b(n) ];
}
u = a+b;
v = b-a;
5
[100] 061 HighSchool-scilab,
re-interpreted by www.msharpmath.com
Example 11
double logic11(a,b) {
if( a >= b ) return a-b;
else
return b-a;
}
#> logic11(3,-5);
ans =
8
Example 14
double f(x) = x^2-x-1;
a=1; b=2;
while( b-a > 10^(-4) ) {
c = (a+b)/2;
if( f(a)*f(b) > 0 ) a = c;
else
// bisection method to find a root
b = c;
}
Example 18
plot.x[100](0,2) ( 0 );
plot+.x[100](2,4) ( x-2 );
plot+.x[100](4,7) ( 2*x-6 );
6
[100] 061 HighSchool-scilab,
re-interpreted by www.msharpmath.com
Example 19
#> plot.x[100](-10,10).y[100](-5,5) ( (4*x*y^2+x+3*y)/100 );
Example 25
matrix diveucl(double a,b) {
q = 0;
while( a >= b ) {
a -= b; // a = a-b
q += 1;
}
return [ q, a ];
}
7
[100] 061 HighSchool-scilab,
re-interpreted by www.msharpmath.com
#> diveucl(1224,15);
ans = [
81
9]
//---------------------------------------------------------------------// end of file
//----------------------------------------------------------------------
8