How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a system—like the orbit of planets.

Formulas are powerful tools for performing calculations and analyzing data in Excel. In this beginner’s guide, you’ll learn how to use formulas (with or without help from the Copilot AI assistant) and ...

In this video, I explain the concept of function transformations, differentiating between outside and inside operations. This math tutorial visually demonstrates how multiplying or adding constants ...

Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly challenging class of mathematical problems with broad implications for ...

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and ...

There is a pressing need for Mathematics Education Researchers to develop tools and frameworks for scientific communication around theories, to further theory-driven research practices and offer new ...

Does quantum mechanics really reflect nature in its truest form, or is it just our imprecise way of describing the weird properties of the very small? A famous test that can help answer this question ...

You can use these live scripts as demonstrations in lectures, class activities, or interactive assignments outside class. In the first script, students learn to derive transfer functions from ODEs and ...

Converging evidence demonstrates a strong link between reading and mathematics: multiple cognitive processes are shared between reading and mathematics, including the representation and retrieval of ...

What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question. Mathematics started with numbers — clear, ...

Abstract: There is a potential conflict between P2P trade and distribution network operator (DSO) decisions, which slows down the expansion of P2P trade. Expanding the P2P trade requires reducing this ...