RE:[edu-sig] Simpson exact

2005-03-30 Thread Henrik Eriksson
Kirby, you are working too hard! > >>> simpson(g,0,3,1) > 8.9893 Why ten thousand intervals when one interval gives the exact result? >>> simpson(g,0,3,1) 9.0 Henrik ___ Edu-sig mailing list Edu-sig@python.org http://mail.python.org

[Edu-sig] RE: Integration correction

2005-03-29 Thread Henrik Eriksson
Kirby got the trapezoidal integration rule wrong. This is the corrected version. def integrate(f,a,b,n=1000): sum = 0 h = (b-a)/float(n) for i in range(1,n): sum += f(a+i*h) return h*(0.5*f(a)+sum+0.5*f(b)) The interval must be divided into n equal parts, so an arbitrar