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# explainers

## Latest Articles

### Which Computational Universe Do We Live In?

Cryptographers want to know which of five possible worlds we inhabit, which will reveal whether truly secure cryptography is even possible.

### Machine Learning Reimagines the Building Blocks of Computing

Traditional algorithms power complicated computational tools like machine learning. A new approach, called algorithms with predictions, uses the power of machine learning to improve algorithms.

### An Ancient Geometry Problem Falls to New Mathematical Techniques

Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.

### How the Physics of Resonance Shapes Reality

The same phenomenon by which an opera singer can shatter a wineglass also underlies the very existence of subatomic particles.

### Will We Ever Get Rid of COVID-19?

No matter how much we’d like to eradicate SARS-CoV-2, it may be better to settle for other forms of control.

### How Quantum Computers Will Correct Their Errors

Quantum bits are fussy and fragile. Useful quantum computers will need to use an error-correction technique like the one that was recently demonstrated on a real machine.

### How Wavelets Allow Researchers to Transform, and Understand, Data

Built upon the ubiquitous Fourier transform, the mathematical tools known as wavelets allow unprecedented analysis and understanding of continuous signals.

### In Topology, When Are Two Shapes the Same?

As topologists seek to classify shapes, the effort hinges on how to define a manifold and what it means for two of them to be equivalent.

### The Complex Truth About ‘Junk DNA’

Genomes hold immense quantities of noncoding DNA. Some of it is essential for life, some seems useless, and some has its own agenda.