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Nabla Operator (∇)

★★★★☆Undergraduate

📖Definition

∇ (nabla, del) is a vector differential operator. Used for gradient, divergence, and curl.

∇ = ( (∂)/(∂ x), (∂)/(∂ y), (∂)/(∂ z) )

Definition of nabla

∇ f

Gradient (scalar → vector field)

∇ · \vecF

Divergence (vector → scalar field)

∇ × \vecF

Curl (vector → vector field)

∇² = ∇ · ∇

Laplacian

예제 1

Find the gradient of f(x,y,z) = x² + y² + z².

Maxwell's equations

Flow analysis

Gradient descent

#나블라#벡터미분#nabla#del