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 ...

Unlike conventional ball or roller-based linear guides, hydrostatic guidance systems eliminate all metal-to-metal contact. The guide carriages move on a thin cushion of high-pressure fluid, which ...

Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

Computer scientists have devised an innovative and elegantly concise algorithm that can efficiently solve systems of linear equations that are critical to such important computer applications as image ...

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 ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

All in a very small footprint, this integrated packaging system forms, loads, and closes cartons thanks to its “racetrack” conveyor powered by servo linear motors. A servo linear conveying system ...