B09030405 杜晶源

450 days ago by B09030405

sage: a=matrix(ZZ,[[3,1,1],[2,1,2]]) 
       
sage: b=matrix(ZZ,[[1,-2,3],[4,5,-6]]) 
       
sage: a+b 
        
[ 4 -1  4]
[ 6  6 -4]
[ 4 -1  4]
[ 6  6 -4]
sage: a-b 
        
[ 2  3 -2]
[-2 -4  8]
[ 2  3 -2]
[-2 -4  8]
sage: A=matrix(QQ,3,range(9));A[0,0]=2;A 
        
[2 1 2]
[3 4 5]
[6 7 8]
[2 1 2]
[3 4 5]
[6 7 8]
sage: A=matrix(QQ,3,range(9));A[0,0]=2;A 
        
[2 1 2]
[3 4 5]
[6 7 8]
[2 1 2]
[3 4 5]
[6 7 8]
sage: A=matrix(QQ,3,range(9));A[0,0]=2;A 
        
[2 1 2]
[3 4 5]
[6 7 8]
[2 1 2]
[3 4 5]
[6 7 8]
sage: x*A 
        
[2*x   x 2*x]
[3*x 4*x 5*x]
[6*x 7*x 8*x]
[2*x   x 2*x]
[3*x 4*x 5*x]
[6*x 7*x 8*x]
sage: x+var('x') sage: integral(x*sin(x**2),x) -1/2*cos(x^2) sage: integral(x^2,x,0,1) 
        
1/3
1/3
sage: var('x,a') sage: f=exp(sin(a-x^2))/x sage: f.derivative(x) 
        
-2*e^(sin(-x^2 + a))*cos(-x^2 + a) - e^(sin(-x^2 + a))/x^2
-2*e^(sin(-x^2 + a))*cos(-x^2 + a) - e^(sin(-x^2 + a))/x^2
sage: x=var('x') sage: integral(x**(-2),1,infinity) 
        
1
1
sage: x=var('x') sage: diff(sin(x),x) cos(x) sage: diff(sin(x),x,2) 
        
-sin(x)
-sin(x)
sage: x=var('x') sage: f=sin(x) sage: taylor(f,x,0,6) 
        
1/120*x^5 - 1/6*x^3 + x
1/120*x^5 - 1/6*x^3 + x
sage: x+var('x') sage: integral(x*sin(x**2),x) -1/2*cos(x^2) sage: integral(x^2,x,0,1) 
        
1/3
1/3