Aide-memoire math

# Aide-memoire math - Dpartement de mathmatiques et de gnie...

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École Polytechnique de Montréal MTH 1102 Aide-mémoire x = ρ sin( φ )cos( θ ) y = ρ sin( φ )sin( θ ) z = ρ cos( φ ) L = Z b a || ~ r 0 ( t ) || dt ~ T ( t ) = ~ r 0 ( t ) || ~ r 0 ( t ) || ~ N ( t ) = ~ T 0 ( t ) || ~ T 0 ( t ) || ~ B ( t ) = ~ T ( t ) ~ N ( t ) ~a = ν 0 ~ T ( t ) + k ν 2 ~ N ( t ) κ = || d ~ T ds || = || ~ T 0 ( t ) || || ~ r 0 ( t ) || = || ~ r 0 ( t ) ~ r 00 ( t ) || || ~ r 0 ( t ) || , A ( S ) = Z Z S || ∂~ r ∂u ∂~ r ∂v || dA M x = lim k,l →∞ k X i =1 l X j =1 y * ij ρ ( x * ij ,y * ij A = Z Z D y ρ ( x,y ) dA M y = lim k,l →∞ k X i =1 l X j =1 x * ij ρ ( x * ij ,y * ij A = Z Z D x ρ ( x,y ) dA - x = M y m = 1 m Z Z D x ρ ( x,y ) dA - y = M x m = 1 m Z Z D y ρ ( x,y ) dA I x = lim k,l →∞ k X i =1 l X j =1 ( y * ij ) 2 ρ ( x * ij ,y * ij A = Z Z D y 2 ρ ( x,y ) dA I y = lim k,l →∞ k X i =1 l X j =1 ( x * ij ) 2 ρ ( x * ij ,y * ij A = Z Z D x 2 ρ ( x,y ) dA I 0 = lim

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Aide-memoire math - Dpartement de mathmatiques et de gnie...

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