Monte Carlo · N=0

π TAHMİNİ

0.00000000

error: —

VERİM

— iter/s

ALGORİTMA

π ≈ 4 × (inside / total)
inside  = Σ { x²+y² ≤ 1 }
x, y   ∈ [−1, 1]  (PRNG)
lim n→∞  ⟹  π

DURDUR SIFIRLA

Altın Spiral · φ

φ DEĞERİ

1.61803399

(1 + √5) / 2

FİBONACCİ YAKINSAMASI

ALGORİTMA

φ  = lim F(n+1) / F(n)
F(n) = F(n-1) + F(n-2)
φ² = φ + 1
1/φ = φ − 1  ≈ 0.61803…
φ  = 1.6180339887…

DURDUR SIFIRLA

Birim Çember · e^(it)

e^(iπ) + 1 = 0

Euler’in Kimliği — En Güzel Denklem

e^(it) = cos(t) + i·sin(t)
t = π  ⟹  cos(π) = −1
             sin(π) =  0
∴  e^(iπ) = −1
∴  e^(iπ) + 1 = 0  ■

∴ e^(iπ) + 1 = 0 ✓

QED