Differential Forms
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📖Definition
Antisymmetric tensor fields enabling coordinate-free integration
📐Formulas
0-form: f
1-form: ω = fᵢ dxⁱ
2-form: ω = f_ij dxⁱ ∧ dx^j
Exterior derivative: d
✏️Examples
예제 1
dx, dy, dz
예제 2
x dy - y dx
예제 3
dx ∧ dy
⚡Applications
Stokes theorem
Electromagnetism
de Rham cohomology
🔗Related Documents
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