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Vitalie Ghelbert gvitalie

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gvitalie / ❄.py

Last active November 24, 2025 06:37

e^(jx) calculate exact π value.

	me@amadeus:~$ python3 -q
	>>> def exp(x):
	... prod = a = 1
	... for i in range(1, 30):
	... prod *= x/i
	... a += prod
	... return a
	...
	>>> x = 1.5
	>>> for i in range(3):

gvitalie / π.py

Created November 23, 2025 13:49

π using e^x

	me@amadeus:~$ python3 -q
	>>> import math
	>>>
	>>> def exp(x):
	... a = 1
	... for i in range(1, 30):
	... a += (x ** i) / math.factorial(i)
	... return a
	...
	>>> x = 3

gvitalie / π.py

Created November 23, 2025 07:09

Fun

	me@amadeus:~$ python3 -q
	>>> import math
	>>>
	>>> def exp(x):
	... a = 1
	... for i in range(1, 100):
	... a += (x ** i) / math.factorial(i)
	... return a
	...
	>>> def ln(x):

gvitalie / ❄.py

Last active September 19, 2025 09:07

Euler and Newton relations make a tandem 🚲 to calculate π value, using successive exponential tangent.

	me@amadeus:~$ python3 -q
	>>>
	>>> import cmath
	>>>
	>>> a = 3
	>>> for i in range(3):
	... a -= cmath.exp(a * 1j).imag/cmath.exp(a * 1j).real
	...
	>>>
	>>> print(a)

gvitalie / e^x.py

Created September 17, 2025 15:33

e^x

	me@amadeus:~$ python3 -q
	>>>
	>>> import cmath
	>>>
	>>> a = 3
	>>> for i in range(3):
	... a += cmath.exp(a * 1j).imag
	...
	>>> print(a)
	3.141592653589793

gvitalie / 😇.py

Created September 13, 2025 14:43

😇

	import math

	def sin(x):
	a = 0
	for i in range(30):
	a += ((-1) ** i) * (x ** (2i+1)) / math.factorial(2i+1)
	return a

	a = 3
	for i in range(3):

gvitalie / π.py

Created September 13, 2025 09:06

π

	me@amadeus:~$ python3 -q
	>>>
	>>> from math import sin
	>>>
	>>> a = 3
	>>> for i in range(3):
	... a += sin(a)
	...
	>>> print(a)
	3.141592653589793