Assuming that the acceleration of gravity of an object is g and the distance traveled when the object falls is s, the time required for the object to fall is:

S= 1/2*g*t2

T = √ (2s/g)

Pade approximation is a method of rational function approximation. Padre approximation is a rational polynomial approximation method invented by French mathematician Henri Padre. Padre approximation is often more accurate than truncated Taylor series, and it is still feasible when Dentelle series does not converge, so it is often used in computer mathematics.

brief introduction

Pade approximation is a method of rational function approximation. Padre approximation is a rational polynomial approximation method invented by French mathematician Henri Padre. Padre approximation is often more accurate than truncated Taylor series, and it is still feasible when Dentelle series does not converge, so it is often used in computer mathematics.

It can be used for frequency domain order reduction of large-scale systems. Let G(s) be the transfer function of the system, and expand G(s) into power series to get G(s)=.

By comparing the coefficients up to p+ quadratic power, the linear algebraic equation about the coefficients of Gr is obtained. The Padre approximation calculation of Gr(s) is simple. For polynomial types with degrees lower than p+R, the simplified model is the same as the output of the original system, but it cannot maintain the stability of the original system. Therefore, there are many modification schemes to overcome this shortcoming.