So, if you know all the Bell polynomials, you know how many ways there are to partition any finite set into some chosen number of blocks of some chosen sizes. The formula for Lagrange inversion is ...

In robot control, accurate modeling of joint friction behavior contributes to enhancing friction compensation, which is important for robust torque control of robots. In this paper, a nonlinear ...

Trajectory planning ensures that the robot arm moves smoothly and quickly to the target position. The difficulty is to use inverse kinematics to convert the path point into the joint angle and fit a ...

In the section “Main Results and Discussion”, we calculate the molecular invariants using the M-polynomial technique in MATLAB and analyze their graphical representations. Furthermore, we establish ...