Taylor's expansion or finding power series representations for functions is just taking derivatives to find simplest core of the function, such as straight line acceleration creating curve speed and then leading to quadratic location function. the Taylor's series are such representation with initial conditions at every level of differentiation. Seeing it in the perspectives of control system engineering or Dynamics , that is how Equations of Motion and Euler-Lagrange Equations work.
Nice! I like the frame of reference concept. That is related too translation.
Taylor's expansion or finding power series representations for functions is just taking derivatives to find simplest core of the function, such as straight line acceleration creating curve speed and then leading to quadratic location function. the Taylor's series are such representation with initial conditions at every level of differentiation. Seeing it in the perspectives of control system engineering or Dynamics , that is how Equations of Motion and Euler-Lagrange Equations work.
There's a lot more insight to be gained by looking at the motion of a rigid rod than one might initially think.
Agreed!
Another beautiful video! 🎉😅
Thank you!
Nice.