In August, a team of mathematicians posted a paper claiming to solve a major problem in algebraic geometry — using entirely alien techniques. It instantly captivated the field, stoking excitement in ...

Algebra can often feel intimidating, filled with strange symbols and abstract concepts that seem hard to grasp. But with the right strategies, anyone can unlock its logic and see how algebra connects ...

Kids spend roughly seven hours at school, then come home to another two or three hours of worksheets, reading logs, and problem sets. We've built this system where we measure education in assignments ...

Abstract: LaSalle’s invariance principle is a commonly used extension of Lyapunov’s second method to study asymptotic stability of nonlinear systems. If the system can be written in polynomial form, ...

I will never forget this one day when Kevin was a preschooler. We had an IEP meeting, and one of his proposed math IEP goals was to be able to visualize and identify what 2 of something looks like or ...

Abstract: A typical recurrent neural network called zeroing neural network (ZNN) was developed for time-varying problem-solving in a previous study. Many applications result in time-varying linear ...

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

Using your book for success -- Entry-level assessment -- Foundations for algebra -- Solving equations -- Solving inequalities -- An introduction to functions -- Linear functions -- Systems of ...

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Basis (shape) function: bilinear for quadrilateral elements, linear for triangle elements ...