Local linearity means that although a transformation is globally nonlinear and complex, it appears linear when viewed in a sufficiently small neighborhood around a specific point. The Jacobian matrix captures this local linear behavior.
Conditions: The transformation is nonlinear globally.; The analysis is restricted to a small neighborhood around a specific point.; The zoom level is high enough that curvature is negligible.
Local linearity means that although a transformation is globally nonlinear and complex, it appears linear when viewed in a sufficiently small neighborhood around a specific point. The Jacobian matrix captures this local linear behavior.
Conditions: The transformation is nonlinear globally.; The analysis is restricted to a small neighborhood around a specific point.; The zoom level is high enough that curvature is negligible.