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.

Calculus is one of the most powerful tools in the IB Mathematics toolkit. However, the transition from procedural calculation to conceptual understanding often reveals hidden gaps in student reasoning ...

👉 Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x.

Even entry-level oscilloscopes today have simple math functions such as adding or subtracting two channels. But as [Arthur Pini] notes, more advanced scopes can now even do integration and ...

The post-pandemic trading bonanza reached new heights in 2025 as investors reacted to a stream of news, from US president Donald Trump’s trade policies and the AI boom to the prospect of a new Federal ...

Scientists have discovered the oldest direct evidence of betel nut chewing in Southeast Asia by analyzing 4,000-year-old dental plaque from a burial in Thailand. This breakthrough method reveals ...

Many students find calculus intimidating—not because of the numbers, but due to its abstract nature. However, struggle is built into its DNA. This feature explores seven effective, research-backed ...

STFEs simulate various physical phenomena that exhibit anomalous diffusion or non-local behavior. Solitons, which are solitary wave solutions that maintain their shape while propagating at constant ...

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.

At its core, a derivative measures how a function changes as its input (typically denoted as "x") changes. In other words, it quantifies the rate of change or the slope of a function at a specific ...

Correction & clarification: This article was updated to remove incorrect details about math courses and departments at the University of California, Santa Cruz. CAMBRIDGE, Mass. – Math professor ...