A tribute to Xiangzhong "Jerry" Yang

The  x̄ chart is a statistical tool for monitoring the means in a process.
The x̄ chart, often known as the individual control chart, is a crucial tool in statistical process control. It is designed to monitor process behavior and performance over time and is widely used in various industries to ensure that processes are operating at their optimum capacity and within specified limits.
A x̄ chart is constructed by plotting individual measurements of a quality characteristic in the order in which...

A flashbulb memory is a highly vivid and detailed memory, often linked to events of significant emotional impact. These memories stand out in contrast to everyday memories due to their clarity and the precision with which they are recalled. The strong emotions associated with the event act as a catalyst, ensuring that specific details, such as one's location, actions, and even peripheral elements, are etched into memory with remarkable accuracy. For example, many people can vividly recall where...

In differential calculus, understanding how a quantity changes at an exact point is central to interpreting dynamic systems. This can be illustrated by analyzing a car traveling along a winding road. The car’s trajectory is represented as a continuous curve, and the direction in which it moves at any instant is given by the tangent to that curve. In contrast, the secant line, intersecting the curve at two points, captures how the car’s position changes over an interval — an average behavior.The...

A rigid body subjected to three forces acting at three points is known as a three-force member. These forces must have concurrent lines of action, except for parallel forces, where the lines of action are parallel.
For example, consider a dumpster connected to a pin support at point A and a pin attached to a hydraulic cylinder at point B.

A truss is a framework that comprises slender members connected at their ends by joints. Trusses are widely used in engineering and architecture to stabilize and strengthen structures like bridges, roofs, and towers. Truss members are designed to carry loads through tension and compression, enabling the truss to withstand external forces.
One critical concept in truss design is the idea of zero-force members. It refers to a truss member that experiences no stress under loading conditions.

Since eddy currents occur only in conductors, magnets can separate metals from other materials. For example, in a recycling center, trash is dumped in batches down a ramp, beneath which lies a powerful magnet. Conductors in the trash are slowed by eddy currents, while nonmetals in the trash move on, separating from the metals. This works for all metals, not just ferromagnetic ones.
Other major applications of eddy currents appear in metal detectors and the braking systems of trains and roller...