Math
155 articles-
The Elegant Math of Machine Learning
Anil Ananthaswamy’s 3 greatest revelations while writing Why Machines Learn. -
The “Hot Hand” Is Not a Myth
With the NBA Finals upon us, a mathematician revisits the famous paper that claims a player’s hot streak is an illusion. -
What Are the Chances?
There are no such things as coincidences. -
The Magic of the Blackboard
Why scientists can’t quit chalk, even in the digital age. -
We Were Wrong About Online Algorithms
Three computer scientists disprove a long-standing idea about imperfect information. -
We’re All Math People
Some of the power of math lies in the very fact that it’s made up. -
Alan Turing and the Power of Negative Thinking
Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms. -
Risky Giant Steps Can Solve Optimization Problems Faster
New results break with decades of conventional wisdom for the gradient descent algorithm. -
Math Proof Draws New Boundaries Around Black Hole Formation
For a half century, mathematicians have tried to define the exact circumstances under which a black hole is destined to exist. -
The Lawlessness of Large Numbers
Mathematicians can often figure out what happens as quantities grow infinitely large. What about when they are just a little big?
-
Are All Brains Good at Math?
Math provokes dread in so many people—yet we are all born with a sense for numbers.
-
A Numerical Mystery From the 19th Century Finally Gets Solved
Two mathematicians have proven Patterson’s conjecture, which was designed to explain a strange pattern in sums involving prime numbers.
-
Math’s “Oldest Problem Ever” Gets a New Answer
A new proof significantly strengthens a decades-old result about the ubiquity of ways to represent whole numbers as sums of fractions.
-
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.
-
Mathematicians Find Structure in Biased Polynomials
New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs. -
The Math of the Amazing Sandpile
To understand self-organization in nature, behold the sandpile. -
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. -
Computer Scientists Discover Limits of Major Research Algorithm
The most widely used technique for finding the largest or smallest values of a math function turns out to be a fundamentally difficult computational problem. -
Why You May Have More Friends Than Your Friends Do
There’s a rude charm to the title, “Why Your Friends Have More Friends Than You.” It’s catchy, like the title of an antagonistic explainer: Here are the causes of your lackluster social life. It sounds more like a New York Times op-ed than an academic paper. But in fact, “Why Your Friends Have More Friends […]