2e. Número de Euler - JulTob/Mathematics GitHub Wiki
Euler identity
℮⟨𝑖𝜋⟩ + 1 = 0
℮⟨𝓍⟩ =
∑ 𝓍ⁿ ∕
∞ ∕ n!
sin(x) = Impar(℮⟨𝓍⟩)
= ∑ 𝓍ⁱ ∕ i:=2n+1
∞ ∕ 𝚒!
cos(x) = Par(℮⟨𝓍⟩)
= ∑ 𝓍²ⁿ ∕
∞ ∕ 2n!
℮⟨𝑖𝓍⟩ =
cos(𝓍) + 𝑖 sin(𝓍)
℮⟨𝑖𝜋⟩ =
cos(𝜋) + 𝑖 sin(𝜋) =
-1 + 𝑖0