Комплексные числа

>>> import math
>>> arg = math.pi / 2
>>> mod = 2
>>> from math import sin, cos
>>> x, y = cos(arg) * mod, sin(arg) * mod
>>> x, y
(1.2246063538223773e-16, 2.0)

>>> import math
>>> z = complex(1.2246063538223773e-16, 2.0)
>>> z
(1.2246063538223773e-16+2j)
>>> z.imag / z.real
1.6331778728383844e+16
>>> math.tan(math.pi / 2)
1.6331778728383844e+16
>>> (z.real ** 2 + z.imag ** 2) ** 0.5
2.0
>>>

>>> import cmath
>>> dir(cmath)
['__doc__', '__file__', '__name__', '__package__', 'acos', 'acosh', 'asin', 'asinh', 'atan', 'atanh', 'cos', 'cosh', 'e', 'exp', 'isinf', 'isnan', 'log', 'log10', 'phase', 'pi', 'polar', 'rect', 'sin', 'sinh', 'sqrt', 'tan', 'tanh']
>>> za = 1j
>>> za
1j
>>> type(za)
<class 'complex'>
>>> zb = 1 + 1j
>>> zb
(1+1j)
>>> import math
>>> cmath.phase(za)
1.5707963267948966
>>> math.degrees(cmath.phase(za))
90.0
>>> math.radians(math.degrees(cmath.phase(za)))
1.5707963267948966
>>> cmath.phase(zb)
0.7853981633974483
>>> math.degrees(cmath.phase(zb))
45.0
>>> math.radians(math.degrees(cmath.phase(zb)))
0.7853981633974483
>>>
>>> cmath.polar(za)
(1.0, 1.5707963267948966)
>>> cmath.polar(za)[1]
1.5707963267948966
>>> math.degrees(cmath.polar(za)[1])
90.0
>>> math.radians(math.degrees(cmath.polar(za)[1]))
1.5707963267948966
>>> cmath.polar(zb)[1]
0.7853981633974483
>>> math.degrees(cmath.polar(zb)[1])
45.0
>>> math.radians(math.degrees(cmath.polar(zb)[1]))
0.7853981633974483
>>>

>>> import cmath
>>> cmath.rect(1, cmath.pi / 2)
(6.123031769111886e-17+1j)
>>> (-1) ** 0.5
(6.123031769111886e-17+1j)
>>>

cmath.sqrt(-1)

def fibo(n):
    assert n > 0, 'fibo number <= 0'
    a, b = 1, 1
    for i in range(n):
        #print(a, b)
        yield a
        c = a
        a = b
        b = c + b
 
for i in fibo(10):
    print(i)
 
n = 8
print('fibo number:', n)
print('fibo sum =', sum(fibo(n)))

def Init(n,m):
        a=[0]*n
        for i in range(n):
                a[i]=[0]*m
        return a
 
def Opred_2(A):
        return A[0][0]*A[1][1]-A[0][1]*A[1][0]
 
def Opred_3(A):
        B=Init(2,2)
        C=Init(2,2)
        D=Init(2,2)
        for i in range(2):
                B[i]=A[i+1][1:]
                C[i]=A[i+1][::2]
                D[i]=A[i+1][:2]
        return A[0][0]*Opred_2(B)-A[0][1]*Opred_2(C)+A[0][2]*Opred_2(D)

for i in range(n):
    for j in range(m):
        A[i,j]=input("vvedite element")

A=Init(n,m)
for i in range(n):
     for j in range(m):
          A[i][j]=input()

B[i]=A[i+1][1:]
        C[i]=A[i+1][0,2,3]
        D[i]=A[i+1][0,1,3]
        E[i]=A[i+1][:3]