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∑MathIntermediate

Hessian Matrix

The Hessian matrix collects all second-order partial derivatives of a scalar function and measures local curvature.

#hessian matrix#second derivatives#curvature+11
∑MathIntermediate

Gradient & Directional Derivatives

The gradient \(\nabla f\) points in the direction of steepest increase of a scalar field and its length equals the maximum rate of increase.

#gradient
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Filtering by:
#taylor expansion
#directional derivative
#partial derivative
+12
∑MathIntermediate

Partial Derivatives

Partial derivatives measure how a multivariable function changes when you wiggle just one input while keeping the others fixed.

#partial derivatives#gradient#jacobian+12