Finding the domain or a function can be confusing, in this video I cover something students commonly forget when dealing with ...

👉 Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the ...

Abstract: The issue of constructing piecewise linear Lyapunov functions (PLLFs) for the stability analysis of polytopic uncertain linear systems is considered. PLLF candidates are parametrized by ...

In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem that had stymied mathematicians for a century. In this case, the solvers weren't human. An artificial ...

Abstract: This brief focuses on adaptive neural fixed-time tracking control problem for the multi-input and multi-output (MIMO) nonlinear systems with dynamic uncertainty. In the controller design ...

I have had a fascinating few months. “Abundance,” the book I wrote with Derek Thompson, is either going to save the Democratic Party or destroy it. You think I’m kidding. Here’s The Wall Street ...

People who have early signs of heart problems may also have changes in brain health that can be early signs of dementia, such as loss of brain volume, according to a meta-analysis. The meta-analysis ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

I hold my planner like a life book. It's dazzled with color-coded words, stickers, notes, symbols, and doodles. One might think it's all for fun. In truth, it's all quite necessary. It's my executive ...

Introduction: The domain of a function is the set of all possible input values (x-values) for which the function is defined. Understanding the domain is crucial for solving mathematical problems and ...

The next ICTP SISSA Colloquium will be held by professor Luigi Ambrosio from Scuola Normale Superiore. The seminar, titled "On some variational problems involving functions with bounded Hessian", will ...