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# mathematics

## Latest Articles

### Nature’s Critical Warning System

Scientists are homing in on a warning signal that arises in complex systems like ecological food webs, the brain and the Earth’s climate. Could it help prevent future catastrophes?

### Be Still My Pulsating Sequence

Can you infer the simple rule behind a number sequence that spikes up and down like the beating of a heart?

### Solution: ‘Creating Art With Mathematics’

The solution to this month’s puzzle explains the artful mathematics behind symmetrical patterns.

### Theorists Draw Closer to Perfect Coloring

A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof.

### Networks Untangle Malaria’s Deadly Shuffle

By examining regions shared between some of nature’s most variable genes, malaria researchers are piecing together an understanding of a deadly parasite.

### A Twisted Path to Equation-Free Prediction

Complex natural systems defy analysis using a standard mathematical toolkit, so one ecologist is throwing out the equations.

### How to Create Art With Mathematics

Can you generate aesthetically pleasing, symmetrical curves with two numbers and a simple mathematical function?

### A Magical Answer to an 80-Year-Old Puzzle

Using crowd-sourced and traditional mathematics research, Terence Tao has devised a solution to a long-standing problem posed by the legendary Paul Erdős.

### A New Map Traces the Limits of Computation

A major advance in computational complexity reveals deep connections between the classes of problems that computers can — and can’t — possibly do.