Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest ...

Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the ...

So, perhaps E = mc 2 may be the most famous physics equation, but it’s also the most important. I do like to eat stuff. Do you use these equations in your everyday life? Do you have a favorite ...

Ordinary differential equations, their order, and degree, the formation of differential equations, solution of differential equation by ... of a random variate, Bernoulli trials, and binomial ...

The corresponding partial differential equation (PDE) is exactly observable in the ... Our reduced model is applicable to more complex systems involving Euler-Bernoulli beam equations.

Bernoulli’s Equation formula is a relation between pressure, kinetic energy, and gravitational potential energy of a fluid in a container. The formula for Bernoulli's principle is as follows ...

This transformation leads to the conversion of the variable coefficient differential equation into a nonlinear matrix equation ... The transverse vibration equations for beams with concentrated masses ...

ChatGPT, Photomath, Symbolab, and other artificial intelligence-powered platforms can solve a complicated math equation in just ... filled with context-free equations and put more emphasis on ...

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.