from math import sqrt as rt
class Matrix(Element):
def isApproxEq(self, b, approximation):
for r in range(len(self.value)):
for c in range(len(self.value[r])):
if abs(b.value[r][c] - self.value[r][c]) > approximation:
return False
return True
def operation(a, b):
return Matrix("NONAME", np.matmul(a.value, b.value))
elements = [
Matrix("P", np.array([[1, 0], [0, 1]])),
Matrix("Q", 0.5 * np.array([[-1, -rt(3)], [rt(3), -1]])),
Matrix("R", 0.5 * np.array([[-1, rt(3)], [-rt(3), -1]])),
Matrix("S", np.array([[1, 0], [0, -1]])),
Matrix("T", 0.5 * np.array([[-1, rt(3)], [rt(3), 1]])),
Matrix("U", 0.5 * np.array([[-1, -rt(3)], [-rt(3), 1]]))
]
table = formCayleyTable(elements, operation, 0.0001)
mygroup4 = Group.fromCayleyTable(elements, table)
print("\n\nGroup 4")
print(mygroup4)
def root(a, b, c):
r1 = (-b + rt((b**2) - (4 * a * c))) / 2 * a
r2 = (-b - rt((b**2) - (4 * a * c))) / 2 * a
return "{r1} and {r2}".format(r1=r1, r2=r2)
def ozanam(nu):
a = 4 * nu + 8
b = (nu + 1) * a + 4 * nu + 7
c = int(rt(a**2 + b**2))
return [a, b, c]
def stifel(nu):
a = (2 * nu + 3)
b = (nu + 1) * a + (nu + 1)
c = int(rt(a**2 + b**2))
return [a, b, c]
},
'joey': {
'home': '9991616'
},
'ross': {
'work': '2221717'
},
}
#import a library
import math
print(math.sqrt(5))
from math import sqrt, acos
print(sqrt(5))
from math import sqrt as rt
print(rt(5))
print(5**0.5)
from pprint import pprint as pp
pp(contacts)
pp(contacts['phoebe'])
print(contacts['phoebe']['email'])
phoebe = contacts['phoebe']
phoebes_email = phoebe['email']
print(phoebes_email)
print(contacts['phoebe']['pets'][2])
def show_contacts():