Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, ...

Abstract: This article deals with periodic event-triggered control (PETC) of nonlinear systems, considering an equivalent quasi-linear parameter-varying (quasi-LPV) polytopic representation of the ...

I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.

After more than three centuries, a geometry problem that originated with a royal bet has been solved. Imagine you’re holding two equal-size dice. Is it possible to bore a tunnel through one die that’s ...

Abstract: Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or use fixed step-sizes that depend on and decrease with an ...

In this tutorial, we demonstrate how to evaluate the quality of LLM-generated responses using Atla’s Python SDK, a powerful tool for automating evaluation workflows with natural language criteria.

LLMs enable interactions with external tools and data sources, such as weather APIs or calculators, through function calls, unlocking diverse applications like autonomous AI agents and neurosymbolic ...