1 files changed, 45 insertions, 45 deletions
diff --git a/191/CH5/EX5.16/Example5_16.sce b/191/CH5/EX5.16/Example5_16.sce
index a246a8985..1cd2060b7 100755
--- a/191/CH5/EX5.16/Example5_16.sce
+++ b/191/CH5/EX5.16/Example5_16.sce
@@ -1,45 +1,45 @@
-//Least square approximation to continuous functions 
-clc;
-clear;
-close();
-format('v',8);
-funcprot(0);
-deff('[g]=f(x,y)','g= -y^2/(1+x)');
-disp('approximation of e^x on [0,1] with a uniform weight w(x)=1')
-a11 = integrate('1','x',0,1);
-a12 = integrate('x','x',0,1);
-a13 = integrate('x*x','x',0,1);
-a14 = integrate('x^3','x',0,1);
-a21 = integrate('x','x',0,1);
-a22 = integrate('x^2','x',0,1);
-a23 = integrate('x^3','x',0,1);
-a24 = integrate('x^4','x',0,1);
-a31 = integrate('x^2','x',0,1);
-a32 = integrate('x^3','x',0,1);
-a33 = integrate('x^4','x',0,1);
-a34 = integrate('x^5','x',0,1);
-a41 = integrate('x^3','x',0,1);
-a42 = integrate('x^4','x',0,1);
-a43 = integrate('x^5','x',0,1);
-a44 = integrate('x^6','x',0,1);
-
-c1 = integrate('exp(x)','x',0,1);
-c2 = integrate('x*exp(x)','x',0,1);
-c3 = integrate('x^2*exp(x)','x',0,1);
-c4 = integrate('x^3*exp(x)','x',0,1);
-
-A = [a11 a12 a13 a14;a21 a22 a23 a24;a31 a32 a33 a34;a41 a42 a43 a44];
-C = [c1;c2;c3;c4];
-ann = inv(A)*C;
-disp(ann, 'The coefficients a0,a1,a2,a3 are respectively :  ' );
-
-deff('[px]=p3(x)','px=ann(4)*x^3+ann(3)*x^2+ann(2)*x+ann(1)');
-x = [0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0]';
-e = exp(x);
-p = p3(x);
-err = e-p;
-ann = [x e p err];
-
-disp(ann,'Displaying the value of x exp(x) p3(x) exp(x)-p3(x) :');
-plot(x,err);
-plot(x,0);
-\ No newline at end of file
+//Least square approximation to continuous functions 
+clc;
+clear;
+close();
+format('v',8);
+funcprot(0);
+deff('[g]=f(x,y)','g= -y^2/(1+x)');
+disp('approximation of e^x on [0,1] with a uniform weight w(x)=1')
+a11 = integrate('1','x',0,1);
+a12 = integrate('x','x',0,1);
+a13 = integrate('x*x','x',0,1);
+a14 = integrate('x^3','x',0,1);
+a21 = integrate('x','x',0,1);
+a22 = integrate('x^2','x',0,1);
+a23 = integrate('x^3','x',0,1);
+a24 = integrate('x^4','x',0,1);
+a31 = integrate('x^2','x',0,1);
+a32 = integrate('x^3','x',0,1);
+a33 = integrate('x^4','x',0,1);
+a34 = integrate('x^5','x',0,1);
+a41 = integrate('x^3','x',0,1);
+a42 = integrate('x^4','x',0,1);
+a43 = integrate('x^5','x',0,1);
+a44 = integrate('x^6','x',0,1);
+
+c1 = integrate('exp(x)','x',0,1);
+c2 = integrate('x*exp(x)','x',0,1);
+c3 = integrate('x^2*exp(x)','x',0,1);
+c4 = integrate('x^3*exp(x)','x',0,1);
+
+A = [a11 a12 a13 a14;a21 a22 a23 a24;a31 a32 a33 a34;a41 a42 a43 a44];
+C = [c1;c2;c3;c4];
+ann = inv(A)*C;
+disp(ann, 'The coefficients a0,a1,a2,a3 are respectively :  ' );
+
+deff('[px]=p3(x)','px=ann(4)*x.^3+ann(3)*x.^2+ann(2)*x+ann(1)');
+x = [0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0]';
+e = exp(x);
+p = p3(x);
+err = e-p;
+ann = [x e p err];
+
+disp(ann,'Displaying the value of x exp(x) p3(x) exp(x)-p3(x) :');
+plot(x,err);
+plot(x,zeros(length(x),1));
+\ No newline at end of file