What is a Lagrangian used for in physics?

Last week, I introduced Emmy Noether, an extraordinary figure in the fields of mathematics and physics. To understand Noether ...
Scientific American

The math behind the universe's symmetry

How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a system—like the orbit of planets.
Psychology Today

Anomaly Puzzles: How the Brain Detects the Unexpected

These short anomaly-detection puzzles are designed to illustrate how reasoning often depends on identifying inconsistencies ...
The New York Times

What is a penalty shootout at the World Cup? The rules explained

Emiliano Martinez, of Argentina, saves Kingsley Coman's penalty in their shootout success against France in the 2022 World Cup final Markus Gilliar - GES Sportfoto/Getty Images A penalty shootout ...

A.I.’s First Big Math Breakthrough Is Not What It Seems

Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...
Morningstar

Trump picked Kevin Warsh to cut rates. The new Fed chief just told us he has other plans.

Here's what the central bank's hawkish agenda means for your money President Donald Trump with Kevin Warsh, the new Federal Reserve chair, in May. A chairman this determined to operate differently and ...
IEEE

The Shortest Path Problem on a Time-Dependent Network With Mixed Uncertainty of Randomness and Fuzziness

Abstract: The uncertainty of travel times on a time-dependent network is conventionally considered as randomness or fuzziness. However, sometimes, randomness or fuzziness cannot describe the ...
IEEE

Applying Dijkstra algorithm for solving neutrosophic shortest path problem

Abstract: The selection of shortest path problem is one the classic problems in graph theory. In literature, many algorithms have been developed to provide a solution for shortest path problem in a ...
Science Daily

Particles may not follow Einstein’s paths after all

Physicists have long struggled to unite quantum mechanics—the theory governing tiny particles—with Einstein’s theory of gravity, which explains the behavior of stars, planets, and the structure of the ...
Hosted on MSN

Thousands gather at Stonehenge to celebrate winter solstice on shortest day of the year

Thousands of revellers have gathered at Stonehenge to mark winter solstice. On average, Brits will experience seven and a half hours of daylight today, making it the shortest day of the year for the ...
Forbes

What Is PERT In Project Management?

With nearly two decades of retail management and project management experience, Brett Day can simplify complex traditional and Agile project management philosophies and methodologies and can explain ...
cmu.edu

CMU Math Student Charts a New Path with Rubik’s Cubes

Rubik's cubes are great for fun, fast-paced problem solving, but they also have a rich mathematical structure involving ideas of symmetry and connectivity. A 3x3x3 Rubik’s cube has 43 quintillion ...