wow, Iwas trying to figure out how to do exactly what you did, but I don't know how to program.
Thx, now I have something to base myself off. On Sep 24, 11:43 am, David Joyner <[email protected]> wrote: > You could try > > x,y = var("x,y") > dy_dxB(x,y) = cos(x) - sin(x) - y > eulers_method(dy_dxB,0,2,0.1,3) > > but I don't know why Sage will not evaluate the cos and > sin terms, so you end up with a long messy hybrid > symbolic/numberical expression. > > If you use instead > > eulers_method(dy_dxB,0,2,0.1,3, method=False) > > for the last line, then you get a reasonable expression. > > So try > > def eulers_method2(f,x0,y0,h,x1,method="table"): > if method=="table": > print "%10s %20s %25s"%("x","y","h*f(x,y)") > n=int((1.0)*(x1-x0)/h) > x00=x0; y00=y0 > soln = [[x00,y00]] > for i in range(n+1): > if method=="table": > print "%10r %20r %20r"%(x00,y00,RR(h*f(x00,y00))) > y00 = RR(y00+h*RR(f(x00,y00))) > x00=RR(x00+h) > soln.append([x00,y00]) > if method!="table": > return soln > > and then > > x,y = var("x,y") > dy_dxB(x,y) = cos(x) - sin(x) - y > eulers_method2(dy_dxB,0,2,0.1,3) > > Hope this helps. > > 2009/9/24 Jaasiel Ornelas <[email protected]>: > > > Hi! > > > I'm using sage for differential equation problems. My college uses > > maple, but I'd rather use sage. > > > I'm having trouble with eulers method for the diff. eqn. dy/dx = cos > > (x) - sin(x) - y. > > > This is my code up till now: > > > sage: x,y = PolynomialRing(RR,2,"xy").gens() > > > sage: dy_dxB = cos(x) - sin(x) - y > > > sage: f(x,y) > > > -y - sin(x) + cos(x) > > > sage: eulers_method(f,0,2,.1,3) > > > WARNING: Output truncated! > > full_output.txt > > > x y h*f(x,y) > > 0 2 -0.100000000000000 > > 0.100000000000000 1.90000000000000 > > -0.100000000000000*sin(0.100000000000000) + > > 0.100000000000000*cos(0.100000000000000) - 0.190000000000000 > > 0.200000000000000 -0.100000000000000*sin(0.100000000000000) + > > 0.100000000000000*cos(0.100000000000000) + 1.71000000000000 > > 0.0100000000000000*sin(0.100000000000000) - > > 0.100000000000000*sin(0.200000000000000) - > > 0.0100000000000000*cos(0.100000000000000) + > > 0.100000000000000*cos(0.200000000000000) - 0.171000000000000 > > 0.300000000000000 -0.0900000000000000*sin(0.100000000000000) - > > 0.100000000000000*sin(0.200000000000000) + > > 0.0900000000000000*cos(0.100000000000000) + > > 0.100000000000000*cos(0.200000000000000) + 1.53900000000000 > > 0.00900000000000000*sin(0.100000000000000) + > > 0.0100000000000000*sin(0.200000000000000) - > > 0.100000000000000*sin(0.300000000000000) - > > 0.00900000000000000*cos(0.100000000000000) - > > 0.0100000000000000*cos(0.200000000000000) + > > 0.100000000000000*cos(0.300000000000000) - 0.153900000000000 > > 0.400000000000000 -0.0810000000000000*sin(0.100000000000000) - > > 0.0900000000000000*sin(0.200000000000000) - > > 0.100000000000000*sin(0.300000000000000) + > > 0.0810000000000000*cos(0.100000000000000) + > > 0.0900000000000000*cos(0.200000000000000) + > > 0.100000000000000*cos(0.300000000000000) + 1.38510000000000 > > 0.00810000000000000*sin(0.100000000000000) + > > 0.00900000000000000*sin(0.200000000000000) + > > 0.0100000000000000*sin(0.300000000000000) - > > 0.100000000000000*sin(0.400000000000000) - > > 0.00810000000000000*cos(0.100000000000000) - > > 0.00900000000000000*cos(0.200000000000000) - > > 0.0100000000000000*cos(0.300000000000000) + > > 0.100000000000000*cos(0.400000000000000) - 0.138510000000000 > > 0.500000000000000 -0.0729000000000000*sin(0.100000000000000) - > > 0.0810000000000000*sin(0.200000000000000) - > > 0.0900000000000000*sin(0.300000000000000) - > > 0.100000000000000*sin(0.400000000000000) + > > 0.0729000000000000*cos(0.100000000000000) + > > 0.0810000000000000*cos(0.200000000000000) + > > 0.0900000000000000*cos(0.300000000000000) + > > 0.100000000000000*cos(0.400000000000000) + 1.24659000000000 > > 0.00729000000000000*sin(0.100000000000000) + > > 0.00810000000000000*sin(0.200000000000000) + > > 0.00900000000000000*sin(0.300000000000000) + > > 0.0100000000000000*sin(0.400000000000000) - > > 0.100000000000000*sin(0.500000000000000) - > > 0.00729000000000000*cos(0.100000000000000) - > > 0.00810000000000000*cos(0.200000000000000) - > > 0.00900000000000000*cos(0.300000000000000) - > > 0.0100000000000000*cos(0.400000000000000) + > > 0.100000000000000*cos(0.500000000000000) - 0.124659000000000 > > 0.600000000000000 -0.0656100000000000*sin(0.100000000000000) - > > 0.0729000000000000*sin(0.200000000000000) - > > 0.0810000000000000*sin(0.300000000000000) - > > 0.0900000000000000*sin(0.400000000000000) - > > 0.100000000000000*sin(0.500000000000000) + > > 0.0656100000000000*cos(0.100000000000000) + > > 0.0729000000000000*cos(0.200000000000000) + > > 0.0810000000000000*cos(0.300000000000000) + > > 0.0900000000000000*cos(0.400000000000000) + > > 0.100000000000000*cos(0.500000000000000) + 1.12193100000000 > > 0.00656100000000000*sin(0.100000000000000) + > > 0.00729000000000000*sin(0.200000000000000) + > > 0.00810000000000000*sin(0.300000000000000) + > > 0.00900000000000000*sin(0.400000000000000) + > > 0.0100000000000000*sin(0.500000000000000) - > > 0.100000000000000*sin(0.600000000000000) - > > 0.00656100000000000*cos(0.100000000000000) - > > 0.00729000000000000*cos(0.200000000000000) - > > 0.00810000000000000*cos(0.300000000000000) - > > 0.00900000000000000*cos(0.400000000000000) - > > 0.0100000000000000*cos(0.500000000000000) + > > 0.100000000000000*cos(0.600000000000000) - 0.112193100000000 > > 0.700000000000000 -0.0590490000000000*sin(0.100000000000000) - > > 0.0656100000000000*sin(0.200000000000000) - > > 0.0729000000000000*sin(0.300000000000000) - > > 0.0810000000000000*sin(0.400000000000000) - > > 0.0900000000000000*sin(0.500000000000000) - > > 0.100000000000000*sin(0.600000000000000) + > > 0.0590490000000000*cos(0.100000000000000) + > > 0.0656100000000000*cos(0.200000000000000) + > > 0.0729000000000000*cos(0.300000000000000) + > > 0.0810000000000000*cos(0.400000000000000) + > > 0.0900000000000000*cos(0.500000000000000) + > > 0.100000000000000*cos(0.600000000000000) + 1.00973790000000 > > 0.00590490000000000*sin(0.100000000000000) + > > 0.00656100000000000*sin(0.200000000000000) + > > 0.00729000000000000*sin(0.300000000000000) + > > 0.00810000000000000*sin(0.400000000000000) + > > 0.00900000000000000*sin(0.500000000000000) + > > 0.0100000000000000*sin(0.600000000000000) - > > 0.100000000000000*sin(0.700000000000000) - > > 0.00590490000000000*cos(0.100000000000000) - > > 0.00656100000000000*cos(0.200000000000000) - > > 0.00729000000000000*cos(0.300000000000000) - > > 0.00810000000000000*cos(0.400000000000000) - > > 0.00900000000000000*cos(0.500000000000000) - > > 0.0100000000000000*cos(0.600000000000000) + > > 0.100000000000000*cos(0.700000000000000) - 0.100973790000000 > > 0.800000000000000 -0.0531441000000000*sin(0.100000000000000) - > > 0.0590490000000000*sin(0.200000000000000) - > > 0.0656100000000000*sin(0.300000000000000) - > > 0.0729000000000000*sin(0.400000000000000) - > > 0.0810000000000000*sin(0.500000000000000) - > > 0.0900000000000000*sin(0.600000000000000) - > > 0.100000000000000*sin(0.700000000000000) + > > 0.0531441000000000*cos(0.100000000000000) + > > 0.0590490000000000*cos(0.200000000000000) + > > 0.0656100000000000*cos(0.300000000000000) + > > 0.0729000000000000*cos(0.400000000000000) + > > 0.0810000000000000*cos(0.500000000000000) + > > 0.0900000000000000*cos(0.600000000000000) + > > 0.100000000000000*cos(0.700000000000000) + 0.908764110000000 > > 0.00531441000000000*sin(0.100000000000000) + > > 0.00590490000000000*sin(0.200000000000000) + > > 0.00656100000000000*sin(0.300000000000000) + > > 0.00729000000000000*sin(0.400000000000000) + > > 0.00810000000000000*sin(0.500000000000000) + > > 0.00900000000000000*sin(0.600000000000000) + > > 0.0100000000000000*sin(0.700000000000000) - > > 0.100000000000000*sin(0.800000000000000) - > > 0.00531441000000000*cos(0.100000000000000) - > > 0.00590490000000000*cos(0.200000000000000) - > > 0.00656100000000000*cos(0.300000000000000) - > > 0.00729000000000000*cos(0.400000000000000) - > > 0.00810000000000000*cos(0.500000000000000) - > > 0.00900000000000000*cos(0.600000000000000) - > > 0.0100000000000000*cos(0.700000000000000) + > > 0.100000000000000*cos(0.800000000000000) - 0.0908764110000000 > > 0.900000000000000 -0.0478296900000000*sin(0.100000000000000) - > > 0.0531441000000000*sin(0.200000000000000) - > > 0.0590490000000000*sin(0.300000000000000) - > > 0.0656100000000000*sin(0.400000000000000) - > > 0.0729000000000000*sin(0.500000000000000) - > > 0.0810000000000000*sin(0.600000000000000) - > > 0.0900000000000000*sin(0.700000000000000) - > > 0.100000000000000*sin(0.800000000000000) + > > 0.0478296900000000*cos(0.100000000000000) + > > 0.0531441000000000*cos(0.200000000000000) + > > 0.0590490000000000*cos(0.300000000000000) + > > 0.0656100000000000*cos(0.400000000000000) + > > 0.0729000000000000*cos(0.500000000000000) + > > 0.0810000000000000*cos(0.600000000000000) + > > 0.0900000000000000*cos(0.700000000000000) + > > 0.100000000000000*cos(0.800000000000000) + 0.817887699000000 > > 0.00478296900000000*sin(0.100000000000000) + > > 0.00531441000000000*sin(0.200000000000000) + > > 0.00590490000000000*sin(0.300000000000000) + > > 0.00656100000000000*sin(0.400000000000000) + > > 0.00729000000000000*sin(0.500000000000000) + > > 0.00810000000000000*sin(0.600000000000000) + > > 0.00900000000000000*sin(0.700000000000000) + > > 0.0100000000000000*sin(0.800000000000000) - > > 0.100000000000000*sin(0.900000000000000) - > > 0.00478296900000000*cos(0.100000000000000) - > > 0.00531441000000000*cos(0.200000000000000) - > > 0.00590490000000000*cos(0.300000000000000) - > > 0.00656100000000000*cos(0.400000000000000) - > > 0.00729000000000000*cos(0.500000000000000) - > > 0.00810000000000000*cos(0.600000000000000) - > > 0.00900000000000000*cos(0.700000000000000) - > > 0.0100000000000000*cos(0.800000000000000) + > > 0.100000000000000*cos(0.900000000000000) - 0.0817887699000000 > > 1.00000000000000 -0.0430467210000000*sin(0.100000000000000) - > > 0.0478296900000000*sin(0.200000000000000) - > > 0.0531441000000000*sin(0.300000000000000) - > > 0.0590490000000000*sin(0.400000000000000) - > > 0.0656100000000000*sin(0.500000000000000) - > > 0.0729000000000000*sin(0.600000000000000) - > > 0.0810000000000000*sin(0.700000000000000) - > > 0.0900000000000000*sin(0.800000000000000) - > > 0.100000000000000*sin(0.900000000000000) + > > 0.0430467210000000*cos(0.100000000000000) + > > 0.0478296900000000*cos(0.200000000000000) + > > 0.0531441000000000*cos(0.300000000000000) + > > 0.0590490000000000*cos(0.400000000000000) + > > 0.0656100000000000*cos(0.500000000000000) + > > 0.0729000000000000*cos(0.600000000000000) + > > 0.0810000000000000*cos(0.700000000000000) + > > 0.0900000000000000*cos(0.800000000000000) + > > 0.100000000000000*cos(0.900000000000000) + 0.736098929100000 > > 0.00430467210000000*sin(0.100000000000000) + > > 0.00478296900000000*sin(0.200000000000000) + > > 0.00531441000000000*sin(0.300000000000000) + > > 0.00590490000000000*sin(0.400000000000000) + > > 0.00656100000000000*sin(0.500000000000000) + > > 0.00729000000000000*sin(0.600000000000000) + > > 0.00810000000000000*sin(0.700000000000000) + > > 0.00900000000000000*sin(0.800000000000000) + > > 0.0100000000000000*sin(0.900000000000000) - > > 0.100000000000000*sin(1.00000000000000) - > > 0.00430467210000000*cos(0.100000000000000) - > > 0.00478296900000000*cos(0.200000000000000) - > > 0.00531441000000000*cos(0.300000000000000) - > > 0.00590490000000000*cos(0.400000000000000) - > > 0.00656100000000000*cos(0.500000000000000) - > > 0.00729000000000000*cos(0.600000000000000) - > > 0.00810000000000000*cos(0.700000000000000) - > > 0.00900000000000000*cos(0.800000000000000) - > > 0.0100000000000000*cos(0.900000000000000) + > > 0.100000000000000*cos(1.00000000000000) - 0.0736098929100000 > > 1.10000000000000 -0.0387420489000000*sin(0.100000000000000) - > > 0.0430467210000000*sin(0.200000000000000) - > > 0.0478296900000000*sin(0.300000000000000) - > > 0.0531441000000000*sin(0.400000000000000) - > > 0.0590490000000000*sin(0.500000000000000) - > > 0.0656100000000000*sin(0.600000000000000) - > > 0.0729000000000000*sin(0.700000000000000) - > > 0.0810000000000000*sin(0.800000000000000) - > > 0.0900000000000000*sin(0.900000000000000) - > > 0.100000000000000*sin(1.00000000000000) + > > 0.0387420489000000*cos(0.100000000000000) + > > 0.0430467210000000*cos(0.200000000000000) + > > 0.0478296900000000*cos(0.300000000000000) + > > 0.0531441000000000*cos(0.400000000000000) + > > 0.0590490000000000*cos(0.500000000000000) + > > 0.0656100000000000*cos(0.600000000000000) + > > 0.0729000000000000*cos(0.700000000000000) + > > 0.0810000000000000*cos(0.800000000000000) + > > 0.0900000000000000*cos(0.900000000000000) + > > 0.100000000000000*cos(1.00000000000000) + 0.662489036190000 > > 0.00387420489000000*sin(0.100000000000000) + > > 0.00430467210000000*sin(0.200000000000000) + > > 0.00478296900000000*sin(0.300000000000000) + > > 0.00531441000000000*sin(0.400000000000000) + > > 0.00590490000000000*sin(0.500000000000000) + > > 0.00656100000000000*sin(0.600000000000000) + > > 0.00729000000000000*sin(0.700000000000000) + > > 0.00810000000000000*sin(0.800000000000000) + > > 0.00900000000000000*sin(0.900000000000000) + > > 0.0100000000000000*sin(1.00000000000000) - > > 0.100000000000000*sin(1.10000000000000) - > > 0.00387420489000000*cos(0.100000000000000) - > > 0.00430467210000000*cos(0.200000000000000) - > > 0.00478296900000000*cos(0.300000000000000) - > > 0.00531441000000000*cos(0.400000000000000) - > > 0.00590490000000000*cos(0.500000000000000) - > > 0.00656100000000000*cos(0.600000000000000) - > > 0.00729000000000000*cos(0.700000000000000) - > > 0.00810000000000000*cos(0.800000000000000) - > > 0.00900000000000000*cos(0.900000000000000) - > > 0.0100000000000000*cos(1.00000000000000) + > > 0.100000000000000*cos(1.10000000000000) - 0.0662489036190000 > > 1.20000000000000 -0.0348678440100000*sin(0.100000000000000) - > > 0.0387420489000000*sin(0.200000000000000) - > > 0.0430467210000000*sin(0.300000000000000) - > > 0.0478296900000000*sin(0.400000000000000) - > > 0.0531441000000000*sin(0.500000000000000) - > > 0.0590490000000000*sin(0.600000000000000) - > > 0.0656100000000000*sin(0.700000000000000) - > > 0.0729000000000000*sin(0.800000000000000) - > > 0.0810000000000000*sin(0.900000000000000) - > > 0.0900000000000000*sin(1.00000000000000) - > > 0.100000000000000*sin(1.10000000000000) + > > 0.0348678440100000*cos(0.100000000000000) + > > 0.0387420489000000*cos(0.200000000000000) + > > 0.0430467210000000*cos(0.300000000000000) + > > 0.0478296900000000*cos(0.400000000000000) + > > 0.0531441000000000*cos(0.500000000000000) + > > 0.0590490000000000*cos(0.600000000000000) + > > 0.0656100000000000*cos(0.700000000000000) + > > 0.0729000000000000*cos(0.800000000000000) + > > 0.0810000000000000*cos(0.900000000000000) + > > 0.0900000000000000*cos(1.00000000000000) + > > 0.100000000000000*cos(1.10000000000000) + 0.596240132571000 > > 0.00348678440100000*sin(0.100000000000000) + > > 0.00387420489000000*sin(0.200000000000000) + > > 0.00430467210000000*sin(0.300000000000000) + > > 0.00478296900000000*sin(0.400000000000000) + > > 0.00531441000000000*sin(0.500000000000000) + > > 0.00590490000000000*sin(0.600000000000000) + > > 0.00656100000000000*sin(0.700000000000000) + > > 0.00729000000000000*sin(0.800000000000000) + > > 0.00810000000000000*sin(0.900000000000000) + > > 0.00900000000000000*sin(1.00000000000000) + > > 0.0100000000000000*sin(1.10000000000000) - > > 0.100000000000000*sin(1.20000000000000) - > > 0.00348678440100000*cos(0.100000000000000) - > > 0.00387420489000000*cos(0.200000000000000) - > > 0.00430467210000000*cos(0.300000000000000) - > > 0.00478296900000000*cos(0.400000000000000) - > > 0.00531441000000000*cos(0.500000000000000) - > > 0.00590490000000000*cos(0.600000000000000) - > > 0.00656100000000000*cos(0.700000000000000) - > > 0.00729000000000000*cos(0.800000000000000) - > > 0.00810000000000000*cos(0.900000000000000) - > > 0.00900000000000000*cos(1.00000000000000) - > > 0.0100000000000000*cos(1.10000000000000) + > > 0.100000000000000*cos(1.20000000000000) - 0.0596240132571000 > > 1.30000000000000 -0.0313810596090000*sin(0.100000000000000) - > > 0.0348678440100000*sin(0.200000000000000) - > > 0.0387420489000000*sin(0.300000000000000) - > > 0.0430467210000000*sin(0.400000000000000) - > > 0.0478296900000000*sin(0.500000000000000) - > > 0.0531441000000000*sin(0.600000000000000) - > > 0.0590490000000000*sin(0.700000000000000) - > > 0.0656100000000000*sin(0.800000000000000) - > > 0.0729000000000000*sin(0.900000000000000) - > > 0.0810000000000000*sin(1.00000000000000) - > > 0.0900000000000000*sin(1.10000000000000) - > > 0.100000000000000*sin(1.20000000000000) + > > 0.0313810596090000*cos(0.100000000000000) + > > 0.0348678440100000*cos(0.200000000000000) + > > 0.0387420489000000*cos(0.300000000000000) + > > 0.0430467210000000*cos(0.400000000000000) + > > 0.0478296900000000*cos(0.500000000000000) + > > 0.0531441000000000*cos(0.600000000000000) + > > 0.0590490000000000*cos(0.700000000000000) + > > 0.0656100000000000*cos(0.800000000000000) + > > 0.0729000000000000*cos(0.900000000000000) + > > 0.0810000000000000*cos(1.00000000000000) + > > 0.0900000000000000*cos(1.10000000000000) + > > 0.100000000000000*cos(1.20000000000000) + 0.536616119313900 > > 0.00313810596090000*sin(0.100000000000000) + > > 0.00348678440100000*sin(0.200000000000000) + > > 0.00387420489000000*sin(0.300000000000000) + > > 0.00430467210000000*sin(0.400000000000000) + > > 0.00478296900000000*sin(0.500000000000000) + > > 0.00531441000000000*sin(0.600000000000000) + > > 0.00590490000000000*sin(0.700000000000000) + > > 0.00656100000000000*sin(0.800000000000000) + > > 0.00729000000000000*sin(0.900000000000000) + > > 0.00810000000000000*sin(1.00000000000000) + > > 0.00900000000000000*sin(1.10000000000000) + > > 0.0100000000000000*sin(1.20000000000000) - > > 0.100000000000000*sin(1.30000000000000) - > > 0.00313810596090000*cos(0.100000000000000) - > > 0.00348678440100000*cos(0.200000000000000) - > > 0.00387420489000000*cos(0.300000000000000) - > > 0.00430467210000000*cos(0.400000000000000) - > > 0.00478296900000000*cos(0.500000000000000) - > > 0.00531441000000000*cos(0.600000000000000) - > > 0.00590490000000000*cos(0.700000000000000) - > > 0.00656100000000000*cos(0.800000000000000) - > > 0.00729000000000000*cos(0.900000000000000) - > > 0.00810000000000000*cos(1.00000000000000) - > > 0.00900000000000000*cos(1.10000000000000) - > > 0.0100000000000000*cos(1.20000000000000) + > > 0.100000000000000*cos(1.30000000000000) - 0.0536616119313900 > > 1.40000000000000 -0.0282429536481000*sin(0.100000000000000) - > > 0.0313810596090000*sin(0.200000000000000) - > > 0.0348678440100000*sin(0.300000000000000) - > > 0.0387420489000000*sin(0.400000000000000) - > > 0.0430467210000000*sin(0.500000000000000) - 0.047829690000 > > > ... > > > 8885184*cos(1.00000000000000) - > > 0.00205891132094649*cos(1.10000000000000) - > > 0.00228767924549610*cos(1.20000000000000) - > > 0.00254186582832900*cos(1.30000000000000) - > > 0.00282429536481000*cos(1.40000000000000) - > > 0.00313810596090000*cos(1.50000000000000) - > > 0.00348678440100000*cos(1.60000000000000) - > > 0.00387420489000000*cos(1.70000000000000) - > > 0.00430467210000000*cos(1.80000000000000) - > > 0.00478296900000000*cos(1.90000000000000) - > > 0.00531441000000000*cos(2.00000000000000) - > > 0.00590490000000000*cos(2.10000000000000) - > > 0.00656100000000000*cos(2.20000000000000) - > > 0.00729000000000000*cos(2.30000000000000) - > > 0.00810000000000000*cos(2.40000000000000) - > > 0.00900000000000000*cos(2.50000000000000) - > > 0.0100000000000000*cos(2.60000000000000) + > > 0.100000000000000*cos(2.70000000000000) - 0.0122760555895307 > > 2.80000000000000 -0.00646108188922668*sin(0.100000000000000) - > > 0.00717897987691853*sin(0.200000000000000) - > > 0.00797664430768725*sin(0.300000000000000) - > > 0.00886293811965250*sin(0.400000000000000) - > > 0.00984770902183612*sin(0.500000000000000) - > > 0.0109418989131512*sin(0.600000000000000) - > > 0.0121576654590569*sin(0.700000000000000) - > > 0.0135085171767299*sin(0.800000000000000) - > > 0.0150094635296999*sin(0.900000000000000) - > > 0.0166771816996666*sin(1.00000000000000) - > > 0.0185302018885184*sin(1.10000000000000) - > > 0.0205891132094649*sin(1.20000000000000) - > > 0.0228767924549610*sin(1.30000000000000) - > > 0.0254186582832900*sin(1.40000000000000) - > > 0.0282429536481000*sin(1.50000000000000) - > > 0.0313810596090000*sin(1.60000000000000) - > > 0.0348678440100000*sin(1.70000000000000) - > > 0.0387420489000000*sin(1.80000000000000) - > > 0.0430467210000000*sin(1.90000000000000) - > > 0.0478296900000000*sin(2.00000000000000) - > > 0.0531441000000000*sin(2.10000000000000) - > > 0.0590490000000000*sin(2.20000000000000) - > > 0.0656100000000000*sin(2.30000000000000) - > > 0.0729000000000000*sin(2.40000000000000) - > > 0.0810000000000000*sin(2.50000000000000) - > > 0.0900000000000000*sin(2.60000000000000) - > > 0.100000000000000*sin(2.70000000000000) + > > 0.00646108188922668*cos(0.100000000000000) + > > 0.00717897987691853*cos(0.200000000000000) + > > 0.00797664430768725*cos(0.300000000000000) + > > 0.00886293811965250*cos(0.400000000000000) + > > 0.00984770902183612*cos(0.500000000000000) + > > 0.0109418989131512*cos(0.600000000000000) + > > 0.0121576654590569*cos(0.700000000000000) + > > 0.0135085171767299*cos(0.800000000000000) + > > 0.0150094635296999*cos(0.900000000000000) + > > 0.0166771816996666*cos(1.00000000000000) + > > 0.0185302018885184*cos(1.10000000000000) + > > 0.0205891132094649*cos(1.20000000000000) + > > 0.0228767924549610*cos(1.30000000000000) + > > 0.0254186582832900*cos(1.40000000000000) + > > 0.0282429536481000*cos(1.50000000000000) + > > 0.0313810596090000*cos(1.60000000000000) + > > 0.0348678440100000*cos(1.70000000000000) + > > 0.0387420489000000*cos(1.80000000000000) + > > 0.0430467210000000*cos(1.90000000000000) + > > 0.0478296900000000*cos(2.00000000000000) + > > 0.0531441000000000*cos(2.10000000000000) + > > 0.0590490000000000*cos(2.20000000000000) + > > 0.0656100000000000*cos(2.30000000000000) + > > 0.0729000000000000*cos(2.40000000000000) + > > 0.0810000000000000*cos(2.50000000000000) + > > 0.0900000000000000*cos(2.60000000000000) + > > 0.100000000000000*cos(2.70000000000000) + 0.110484500305776 > > 0.000646108188922668*sin(0.100000000000000) + > > 0.000717897987691853*sin(0.200000000000000) + > > 0.000797664430768725*sin(0.300000000000000) + > > 0.000886293811965250*sin(0.400000000000000) + > > 0.000984770902183612*sin(0.500000000000000) + > > 0.00109418989131512*sin(0.600000000000000) + > > 0.00121576654590569*sin(0.700000000000000) + > > 0.00135085171767299*sin(0.800000000000000) + > > 0.00150094635296999*sin(0.900000000000000) + > > 0.00166771816996666*sin(1.00000000000000) + > > 0.00185302018885184*sin(1.10000000000000) + > > 0.00205891132094649*sin(1.20000000000000) + > > 0.00228767924549610*sin(1.30000000000000) + > > 0.00254186582832900*sin(1.40000000000000) + > > 0.00282429536481000*sin(1.50000000000000) + > > 0.00313810596090000*sin(1.60000000000000) + > > 0.00348678440100000*sin(1.70000000000000) + > > 0.00387420489000000*sin(1.80000000000000) + > > 0.00430467210000000*sin(1.90000000000000) + > > 0.00478296900000000*sin(2.00000000000000) + > > 0.00531441000000000*sin(2.10000000000000) + > > 0.00590490000000000*sin(2.20000000000000) + > > 0.00656100000000000*sin(2.30000000000000) + > > 0.00729000000000000*sin(2.40000000000000) + > > 0.00810000000000000*sin(2.50000000000000) + > > 0.00900000000000000*sin(2.60000000000000) + > > 0.0100000000000000*sin(2.70000000000000) - > > 0.100000000000000*sin(2.80000000000000) - > > 0.000646108188922668*cos(0.100000000000000) - > > 0.000717897987691853*cos(0.200000000000000) - > > 0.000797664430768725*cos(0.300000000000000) - > > 0.000886293811965250*cos(0.400000000000000) - > > 0.000984770902183612*cos(0.500000000000000) - > > 0.00109418989131512*cos(0.600000000000000) - > > 0.00121576654590569*cos(0.700000000000000) - > > 0.00135085171767299*cos(0.800000000000000) - > > 0.00150094635296999*cos(0.900000000000000) - > > 0.00166771816996666*cos(1.00000000000000) - > > 0.00185302018885184*cos(1.10000000000000) - > > 0.00205891132094649*cos(1.20000000000000) - > > 0.00228767924549610*cos(1.30000000000000) - > > 0.00254186582832900*cos(1.40000000000000) - > > 0.00282429536481000*cos(1.50000000000000) - > > 0.00313810596090000*cos(1.60000000000000) - > > 0.00348678440100000*cos(1.70000000000000) - > > 0.00387420489000000*cos(1.80000000000000) - > > 0.00430467210000000*cos(1.90000000000000) - > > 0.00478296900000000*cos(2.00000000000000) - > > 0.00531441000000000*cos(2.10000000000000) - > > 0.00590490000000000*cos(2.20000000000000) - > > 0.00656100000000000*cos(2.30000000000000) - > > 0.00729000000000000*cos(2.40000000000000) - > > 0.00810000000000000*cos(2.50000000000000) - > > 0.00900000000000000*cos(2.60000000000000) - > > 0.0100000000000000*cos(2.70000000000000) + > > 0.100000000000000*cos(2.80000000000000) - 0.0110484500305776 > > 2.90000000000000 -0.00581497370030401*sin(0.100000000000000) - > > 0.00646108188922668*sin(0.200000000000000) - > > 0.00717897987691853*sin(0.300000000000000) - > > 0.00797664430768725*sin(0.400000000000000) - > > 0.00886293811965250*sin(0.500000000000000) - > > 0.00984770902183612*sin(0.600000000000000) - > > 0.0109418989131512*sin(0.700000000000000) - > > 0.0121576654590569*sin(0.800000000000000) - > > 0.0135085171767299*sin(0.900000000000000) - > > 0.0150094635296999*sin(1.00000000000000) - > > 0.0166771816996666*sin(1.10000000000000) - > > 0.0185302018885184*sin(1.20000000000000) - > > 0.0205891132094649*sin(1.30000000000000) - > > 0.0228767924549610*sin(1.40000000000000) - > > 0.0254186582832900*sin(1.50000000000000) - > > 0.0282429536481000*sin(1.60000000000000) - > > 0.0313810596090000*sin(1.70000000000000) - > > 0.0348678440100000*sin(1.80000000000000) - > > 0.0387420489000000*sin(1.90000000000000) - > > 0.0430467210000000*sin(2.00000000000000) - > > 0.0478296900000000*sin(2.10000000000000) - > > 0.0531441000000000*sin(2.20000000000000) - > > 0.0590490000000000*sin(2.30000000000000) - > > 0.0656100000000000*sin(2.40000000000000) - > > 0.0729000000000000*sin(2.50000000000000) - > > 0.0810000000000000*sin(2.60000000000000) - > > 0.0900000000000000*sin(2.70000000000000) - > > 0.100000000000000*sin(2.80000000000000) + > > 0.00581497370030401*cos(0.100000000000000) + > > 0.00646108188922668*cos(0.200000000000000) + > > 0.00717897987691853*cos(0.300000000000000) + > > 0.00797664430768725*cos(0.400000000000000) + > > 0.00886293811965250*cos(0.500000000000000) + > > 0.00984770902183612*cos(0.600000000000000) + > > 0.0109418989131512*cos(0.700000000000000) + > > 0.0121576654590569*cos(0.800000000000000) + > > 0.0135085171767299*cos(0.900000000000000) + > > 0.0150094635296999*cos(1.00000000000000) + > > 0.0166771816996666*cos(1.10000000000000) + > > 0.0185302018885184*cos(1.20000000000000) + > > 0.0205891132094649*cos(1.30000000000000) + > > 0.0228767924549610*cos(1.40000000000000) + > > 0.0254186582832900*cos(1.50000000000000) + > > 0.0282429536481000*cos(1.60000000000000) + > > 0.0313810596090000*cos(1.70000000000000) + > > 0.0348678440100000*cos(1.80000000000000) + > > 0.0387420489000000*cos(1.90000000000000) + > > 0.0430467210000000*cos(2.00000000000000) + > > 0.0478296900000000*cos(2.10000000000000) + > > 0.0531441000000000*cos(2.20000000000000) + > > 0.0590490000000000*cos(2.30000000000000) + > > 0.0656100000000000*cos(2.40000000000000) + > > 0.0729000000000000*cos(2.50000000000000) + > > 0.0810000000000000*cos(2.60000000000000) + > > 0.0900000000000000*cos(2.70000000000000) + > > 0.100000000000000*cos(2.80000000000000) + 0.0994360502751985 > > 0.000581497370030401*sin(0.100000000000000) + > > 0.000646108188922668*sin(0.200000000000000) + > > 0.000717897987691853*sin(0.300000000000000) + > > 0.000797664430768725*sin(0.400000000000000) + > > 0.000886293811965250*sin(0.500000000000000) + > > 0.000984770902183612*sin(0.600000000000000) + > > 0.00109418989131512*sin(0.700000000000000) + > > 0.00121576654590569*sin(0.800000000000000) + > > 0.00135085171767299*sin(0.900000000000000) + > > 0.00150094635296999*sin(1.00000000000000) + > > 0.00166771816996666*sin(1.10000000000000) + > > 0.00185302018885184*sin(1.20000000000000) + > > 0.00205891132094649*sin(1.30000000000000) + > > 0.00228767924549610*sin(1.40000000000000) + > > 0.00254186582832900*sin(1.50000000000000) + > > 0.00282429536481000*sin(1.60000000000000) + > > 0.00313810596090000*sin(1.70000000000000) + > > 0.00348678440100000*sin(1.80000000000000) + > > 0.00387420489000000*sin(1.90000000000000) + > > 0.00430467210000000*sin(2.00000000000000) + > > 0.00478296900000000*sin(2.10000000000000) + > > 0.00531441000000000*sin(2.20000000000000) + > > 0.00590490000000000*sin(2.30000000000000) + > > 0.00656100000000000*sin(2.40000000000000) + > > 0.00729000000000000*sin(2.50000000000000) + > > 0.00810000000000000*sin(2.60000000000000) + > > 0.00900000000000000*sin(2.70000000000000) + > > 0.0100000000000000*sin(2.80000000000000) - > > 0.100000000000000*sin(2.90000000000000) - > > 0.000581497370030401*cos(0.100000000000000) - > > 0.000646108188922668*cos(0.200000000000000) - > > 0.000717897987691853*cos(0.300000000000000) - > > 0.000797664430768725*cos(0.400000000000000) - > > 0.000886293811965250*cos(0.500000000000000) - > > 0.000984770902183612*cos(0.600000000000000) - > > 0.00109418989131512*cos(0.700000000000000) - > > 0.00121576654590569*cos(0.800000000000000) - > > 0.00135085171767299*cos(0.900000000000000) - > > 0.00150094635296999*cos(1.00000000000000) - > > 0.00166771816996666*cos(1.10000000000000) - > > 0.00185302018885184*cos(1.20000000000000) - > > 0.00205891132094649*cos(1.30000000000000) - > > 0.00228767924549610*cos(1.40000000000000) - > > 0.00254186582832900*cos(1.50000000000000) - > > 0.00282429536481000*cos(1.60000000000000) - > > 0.00313810596090000*cos(1.70000000000000) - > > 0.00348678440100000*cos(1.80000000000000) - > > 0.00387420489000000*cos(1.90000000000000) - > > 0.00430467210000000*cos(2.00000000000000) - > > 0.00478296900000000*cos(2.10000000000000) - > > 0.00531441000000000*cos(2.20000000000000) - > > 0.00590490000000000*cos(2.30000000000000) - > > 0.00656100000000000*cos(2.40000000000000) - > > 0.00729000000000000*cos(2.50000000000000) - > > 0.00810000000000000*cos(2.60000000000000) - > > 0.00900000000000000*cos(2.70000000000000) - > > 0.0100000000000000*cos(2.80000000000000) + > > 0.100000000000000*cos(2.90000000000000) - 0.00994360502751985 > > 3.00000000000000 -0.00523347633027361*sin(0.100000000000000) - > > 0.00581497370030401*sin(0.200000000000000) - > > 0.00646108188922668*sin(0.300000000000000) - > > 0.00717897987691853*sin(0.400000000000000) - > > 0.00797664430768725*sin(0.500000000000000) - > > 0.00886293811965250*sin(0.600000000000000) - > > 0.00984770902183612*sin(0.700000000000000) - > > 0.0109418989131512*sin(0.800000000000000) - > > 0.0121576654590569*sin(0.900000000000000) - > > 0.0135085171767299*sin(1.00000000000000) - > > 0.0150094635296999*sin(1.10000000000000) - > > 0.0166771816996666*sin(1.20000000000000) - > > 0.0185302018885184*sin(1.30000000000000) - > > 0.0205891132094649*sin(1.40000000000000) - > > 0.0228767924549610*sin(1.50000000000000) - > > 0.0254186582832900*sin(1.60000000000000) - > > 0.0282429536481000*sin(1.70000000000000) - > > 0.0313810596090000*sin(1.80000000000000) - > > 0.0348678440100000*sin(1.90000000000000) - > > 0.0387420489000000*sin(2.00000000000000) - > > 0.0430467210000000*sin(2.10000000000000) - > > 0.0478296900000000*sin(2.20000000000000) - > > 0.0531441000000000*sin(2.30000000000000) - > > 0.0590490000000000*sin(2.40000000000000) - > > 0.0656100000000000*sin(2.50000000000000) - > > 0.0729000000000000*sin(2.60000000000000) - > > 0.0810000000000000*sin(2.70000000000000) - > > 0.0900000000000000*sin(2.80000000000000) - > > 0.100000000000000*sin(2.90000000000000) + > > 0.00523347633027361*cos(0.100000000000000) + > > 0.00581497370030401*cos(0.200000000000000) + > > 0.00646108188922668*cos(0.300000000000000) + > > 0.00717897987691853*cos(0.400000000000000) + > > 0.00797664430768725*cos(0.500000000000000) + > > 0.00886293811965250*cos(0.600000000000000) + > > 0.00984770902183612*cos(0.700000000000000) + > > 0.0109418989131512*cos(0.800000000000000) + > > 0.0121576654590569*cos(0.900000000000000) + > > 0.0135085171767299*cos(1.00000000000000) + > > 0.0150094635296999*cos(1.10000000000000) + > > 0.0166771816996666*cos(1.20000000000000) + > > 0.0185302018885184*cos(1.30000000000000) + > > 0.0205891132094649*cos(1.40000000000000) + > > 0.0228767924549610*cos(1.50000000000000) + > > 0.0254186582832900*cos(1.60000000000000) + > > 0.0282429536481000*cos(1.70000000000000) + > > 0.0313810596090000*cos(1.80000000000000) + > > 0.0348678440100000*cos(1.90000000000000) + > > 0.0387420489000000*cos(2.00000000000000) + > > 0.0430467210000000*cos(2.10000000000000) + > > 0.0478296900000000*cos(2.20000000000000) + > > 0.0531441000000000*cos(2.30000000000000) + > > 0.0590490000000000*cos(2.40000000000000) + > > 0.0656100000000000*cos(2.50000000000000) + > > 0.0729000000000000*cos(2.60000000000000) + > > 0.0810000000000000*cos(2.70000000000000) + > > 0.0900000000000000*cos(2.80000000000000) + > > 0.100000000000000*cos(2.90000000000000) + 0.0894924452476786 > > 0.000523347633027361*sin(0.100000000000000) + > > 0.000581497370030401*sin(0.200000000000000) + > > 0.000646108188922668*sin(0.300000000000000) + > > 0.000717897987691853*sin(0.400000000000000) + > > 0.000797664430768725*sin(0.500000000000000) + > > 0.000886293811965250*sin(0.600000000000000) + > > 0.000984770902183612*sin(0.700000000000000) + > > 0.00109418989131512*sin(0.800000000000000) + > > 0.00121576654590569*sin(0.900000000000000) + > > 0.00135085171767299*sin(1.00000000000000) + > > 0.00150094635296999*sin(1.10000000000000) + > > 0.00166771816996666*sin(1.20000000000000) + > > 0.00185302018885184*sin(1.30000000000000) + > > 0.00205891132094649*sin(1.40000000000000) + > > 0.00228767924549610*sin(1.50000000000000) + > > 0.00254186582832900*sin(1.60000000000000) + > > 0.00282429536481000*sin(1.70000000000000) + > > 0.00313810596090000*sin(1.80000000000000) + > > 0.00348678440100000*sin(1.90000000000000) + > > 0.00387420489000000*sin(2.00000000000000) + > > 0.00430467210000000*sin(2.10000000000000) + > > 0.00478296900000000*sin(2.20000000000000) + > > 0.00531441000000000*sin(2.30000000000000) + > > 0.00590490000000000*sin(2.40000000000000) + > > 0.00656100000000000*sin(2.50000000000000) + > > 0.00729000000000000*sin(2.60000000000000) + > > 0.00810000000000000*sin(2.70000000000000) + > > 0.00900000000000000*sin(2.80000000000000) + > > 0.0100000000000000*sin(2.90000000000000) - > > 0.100000000000000*sin(3.00000000000000) - > > 0.000523347633027361*cos(0.100000000000000) - > > 0.000581497370030401*cos(0.200000000000000) - > > 0.000646108188922668*cos(0.300000000000000) - > > 0.000717897987691853*cos(0.400000000000000) - > > 0.000797664430768725*cos(0.500000000000000) - > > 0.000886293811965250*cos(0.600000000000000) - > > 0.000984770902183612*cos(0.700000000000000) - > > 0.00109418989131512*cos(0.800000000000000) - > > 0.00121576654590569*cos(0.900000000000000) - > > 0.00135085171767299*cos(1.00000000000000) - > > 0.00150094635296999*cos(1.10000000000000) - > > 0.00166771816996666*cos(1.20000000000000) - > > 0.00185302018885184*cos(1.30000000000000) - > > 0.00205891132094649*cos(1.40000000000000) - > > 0.00228767924549610*cos(1.50000000000000) - > > 0.00254186582832900*cos(1.60000000000000) - > > 0.00282429536481000*cos(1.70000000000000) - > > 0.00313810596090000*cos(1.80000000000000) - > > 0.00348678440100000*cos(1.90000000000000) - > > 0.00387420489000000*cos(2.00000000000000) - > > 0.00430467210000000*cos(2.10000000000000) - > > 0.00478296900000000*cos(2.20000000000000) - > > 0.00531441000000000*cos(2.30000000000000) - > > 0.00590490000000000*cos(2.40000000000000) - > > 0.00656100000000000*cos(2.50000000000000) - > > 0.00729000000000000*cos(2.60000000000000) - > > 0.00810000000000000*cos(2.70000000000000) - > > 0.00900000000000000*cos(2.80000000000000) - > > 0.0100000000000000*cos(2.90000000000000) + > > 0.100000000000000*cos(3.00000000000000) - 0.00894924452476786 > > > full_output.txt > > > So, as you can see, the output gets truncated (whatever that means) > > and it does not evaluate the sines and cosines. If anybody could help > > me with that. I am using sage 4.1.1 --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
