Control and inverse problems in wave equations and graphs constitute a dynamic field at the intersection of applied mathematics, engineering and physics. This area investigates how waves ...

Researchers introduced the "Diagram of Thought" (DoT) framework, enhancing large language models' reasoning through a ...

Figure 9-3 below shows a well-tuned PID control using only these P and I terms. The total power, proportional, and integral terms correspond to the scale on the right side of the graph, while the ...

Stabilizing an inverted pendulum is a classic problem in control theory, and if you’ve ever taken a control systems class you might remember seeing pages full of differential equations and bo… ...

Refining with colors. Mathematicians have developed various strategies to compare graphs. Since the 1970s, algorithms have been able to test graph isomorphism, but in exponential time.