Partial sums converging to the Erdős–Borwein constant E
The partial sums converge quickly to E ≈ 1.6066951524. The denominators 2^n−1 grow geometrically, making convergence much faster than the Basel problem.
p_04
Erdős–Borwein converges faster than Basel
E = Σ 1/(2ⁿ−1) ≈ 1.6066951524…
Basel: Σ 1/n² ≈ 1.6449 – sukus decrease as 1/n²
Erdős–Borwein: sukus decrease as 1/2ⁿ – geometric decay, much lebih cepat convergence
p_06links
Series terms: denominators double each step, sum converges to E ~1.607
Each denominator 2^n - 1 is roughly twice the previous. Sum converges to E ~1.6066951524.
card_08card_09
Digunakan dalam
∑Matematika
✓
⚛Fisika
–
⚙Teknik
–
🧬Biologi
–
💻Ilmu Komputer
✓
📊Statistika
–
📈Keuangan
–
🎨Seni
–
🏛Arsitektur
–
♪Musik
–
🔐Kriptografi
–
🌌Astronomi
–
⚗Kimia
–
🦉Filsafat
–
🗺Geografi
–
🌿Ekologi
–
Want to test your knowledge?
Question
Di mana konstanta Erdos-Borwein muncul dalam ilmu komputer?