Variational methods on graphs extend the classical calculus of variations to discrete structures, treating vertices and edges as the domain for differential‐like operators. By associating an energy ...

Now, when you want to solve a math equation and write it down, the Ink math assistant will jump into action and quickly plot an interactive graph to help you visualize those hard-to-understand math ...

Everything in physics is described by an equation. Equations can describe the shape of lines, curves, surfaces, and just about any object you can think of. In fact, you’d be hard-pressed to think of ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

Frank Merle is used to confronting a messy world. He works on the mathematics of highly nonlinear systems—ones that respond in dramatic, unpredictable ways to even the smallest changes. It’s the same ...