3.linalg/gyakorlas

>>> f=((z+x)**3-9*(z+x)**2-48*(z+x)+1)*e**-(z-1)**2+y**3-3*y**2-72*y+1
Traceback (most recent call last): File "<string>", line 1, in <module> NameError: name 'e' is not defined
>>> f=((z+x)**3-9*(z+x)**2-48*(z+x)+1)*exp(**-(z-1)**2)+y**3-3*y**2-72*y+1
Traceback (most recent call last): File "<string>", line 1, in <module> TypeError: FunctionClass object argument after ** must be a mapping, not Mul
>>> f=((z+x)**3-9*(z+x)**2-48*(z+x)+1)*exp(-(z-1)**2)+y**3-3*y**2-72*y+1
>>> f
y3−3y2−72y+(−48x−48z+(x+z)3−9(x+z)2+1)e−(z−1)2+1
>>> f=lambdify((x,y,z),f,modules='sympy')
>>> f(x,y,z)
y3−3y2−72y+(−48x−48z+(x+z)3−9(x+z)2+1)e−(z−1)2+1
>>> fdx=lambdify((x,y,z),diff(f(x,y,z)x),modules='sympy'
Traceback (most recent call last): File "<string>", line 1 fdx=lambdify((x,y,z),diff(f(x,y,z)x),modules='sympy' ^ SyntaxError: invalid syntax
>>> fdx=lambdify((x,y,z),diff(f(x,y,z),x),modules='sympy'
Traceback (most recent call last): File "<string>", line 1 fdx=lambdify((x,y,z),diff(f(x,y,z),x),modules='sympy' ^ SyntaxError: unexpected EOF while parsing
>>> fdx=lambdify((x,y,z),diff(f(x,y,z),x),modules='sympy')
>>> fdy=lambdify((x,y,z),diff(f(x,y,z),y),modules='sympy')
>>> fdz=lambdify((x,y,z),diff(f(x,y,z),z),modules='sympy')
>>> fdx
<function<lambda>at0xfc42df70>
>>> fdx(x,y,z)
(−18x−18z+3(x+z)2−48)e−(z−1)2
>>> fdy(x,y,z)
3y2−6y−72
>>> fdz(x,y,z)
(−2z+2)(−48x−48z+(x+z)3−9(x+z)2+1)e−(z−1)2+(−18x−18z+3(x+z)2−48)e−(z−1)2
>>> fdym=solve(fdy(x,y,z),y)
>>> fdym
[−4,6]
>>> fdxm0=solve(fdx(x,fdym[0],z),x)
>>> fdxm0
[−z−2,−z+8]
>>> fdzm00=solve(fdxm0[0](,fdym[0],z),x)
Traceback (most recent call last): File "<string>", line 1 fdzm00=solve(fdxm0[0](,fdym[0],z),x) ^ SyntaxError: invalid syntax
>>> fdzm00=solve(fdxm0[0],fdym[0],z),x)
Traceback (most recent call last): File "<string>", line 1 fdzm00=solve(fdxm0[0],fdym[0],z),x) ^ SyntaxError: invalid syntax
>>> fdzm00=solve(fdxm0[0],fdym[0],z),x)
Traceback (most recent call last): File "<string>", line 1 fdzm00=solve(fdxm0[0],fdym[0],z),x) ^ SyntaxError: invalid syntax
>>> fdzm00=solve(fdxm0[0],fdym[0],z),z)
Traceback (most recent call last): File "<string>", line 1 fdzm00=solve(fdxm0[0],fdym[0],z),z) ^ SyntaxError: invalid syntax
>>> solve(fdxm0[0],fdym[0],z),z)
Traceback (most recent call last): File "<string>", line 1 solve(fdxm0[0],fdym[0],z),z) ^ SyntaxError: invalid syntax
>>> solve(fdz(fdxm0[0],fdym[0],z) ...
Traceback (most recent call last): File "<string>", line 1 solve(fdz(fdxm0[0],fdym[0],z) ^ SyntaxError: unexpected EOF while parsing
>>> solve(fdz(fdxm0[0],fdym[0],z)
Traceback (most recent call last): File "<string>", line 1 solve(fdz(fdxm0[0],fdym[0],z) ^ SyntaxError: unexpected EOF while parsing
>>> solve(fdz(fdxm0[0],fdym[0]),z)
Traceback (most recent call last): File "<string>", line 1, in <module> TypeError: <lambda>() takes exactly 3 arguments (2 given)
>>> solve(fdz(fdxm0[0],fdym[0],z),z)
[1]
>>> solve(fdz(fdxm0[1],fdym[0]),z)
Traceback (most recent call last): File "<string>", line 1, in <module> TypeError: <lambda>() takes exactly 3 arguments (2 given)
>>> solve(fdz(fdxm0[1],fdym[0],z),z)
[1]
>>> fdxm1=solve(fdx(x,fdym[1],z),x)
>>> fdxm1
[−z−2,−z+8]
>>> solve(fdz(fdxm1[0],fdym[0],z),z)
[1]
>>> solve(fdz(fdxm1[1],fdym[0],z),z)
[1]
>>> H=hessian(f(x,y,z),(x,y,z)) ...
>>> H=lambdify((x,y,z),H,modules='sympy')
>>> >>> [float(i) for i in H(-3,-4,1).eigenvals().keys()]
Traceback (most recent call last): File "<string>", line 1 >>> [float(i) for i in H(-3,-4,1).eigenvals().keys()] ^ SyntaxError: invalid syntax
>>> [float(i) for i in H(-3,-4,1).eigenvals().keys()]
[−143.901559914,−30.0,−22.0984400857]
>>> [float(i) for i in H(7,-4,1).eigenvals().keys()]
[−30.0,28.9944196776,925.005580322]
>>> [float(i) for i in H(-3,6,1).eigenvals().keys()]
[−143.901559914,30.0,−22.0984400857]
>>> [float(i) for i in H(7,6,1).eigenvals().keys()]
[28.9944196776,30.0,925.005580322]