🌀 Fundamental Constants
π - Pi
The circle constant π ≈ 3.14159... represents the ratio of a circle's circumference to its diameter. Universally defined as the fixed ratio, π appears in:
- Geometry: A = πr² (Circle area)
- Trigonometry: sin(π) = 0
- Physics: E = mc² (Circumscribed in relativity)
ω - Omega
Omega (Ω) represents:
- Finality in sequences
- Electrical impedance: R = V/I
- Panexperiential states in philosophy
Example
Resistance: 100 Ω
Final value in Ω(n) notation
🔢 Applications
∡
Geometry
π defines circular properties:
Circumference = 2πr
Volume of sphere = (4/3)πr³
∫
Calculus
π in transcendental functions:
∫₋π⁄²⁄² cos(x)dx = π
sin(π) = 0
⚛
Physics
Applications in quantum mechanics:
Δx Δp ≥ ħ/2π
E = hf = h(c/λ) = hc/λ
✏️ Equation Builder
Build Your Formula
Your equation appears here: