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# explainers

## Latest Articles

### 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.

### Banach-Tarski and the Paradox of Infinite Cloning

One of the strangest results in mathematics explains how it’s possible to turn one sphere into two identical copies, simply by rearranging its pieces.

### Neither Star nor Planet: A Strange Brown Dwarf Puzzles Astronomers

Brown dwarfs such as “The Accident” are illuminating the murky borderlands that separate planets from stars.

### Galois Groups and the Symmetries of Polynomials

By focusing on relationships between solutions to polynomial equations, rather than the exact solutions themselves, Évariste Galois changed the course of modern mathematics.

### The ‘Weirdest’ Matter, Made of Partial Particles, Defies Description

Theorists are in a frenzy over “fractons,” bizarre, but potentially useful, hypothetical particles that can only move in combination with one another.