Low-friction, high-stiffness ball guides support on one rail (top) or two (bottom). The trade-offs for this performance are higher cost and more noise. The shortest path between two points is a ...

Linear superposition, as its name implies, is associated with linear systems. In your core undergraduate electrical circuits class, you learned that networks comprising only resistors, capacitors and ...

The class of second-order linear dynamical systems is considered. A method and algorithm are presented to transform any system with n degrees of freedom into n independent second-order equations. The ...

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...

Armed with even with the most-sophisticated motion controller, engineers can still find it difficult to attain precise linear motion unless the mechanical components are appropriately designed for the ...

This paper presents optimum an one-parameter iteration (OOPI) method and a multi-parameter iteration direct (MPID) method for efficiently solving linear algebraic systems with low order matrix A and ...