Differential Equation

Masaki Kashiwara received the honor, often regarded as the Nobel Prize in mathematics, for work that combined different mathematical fields to solve challenging problems.

You might think math is difficult, but each one of your neurons solves equations on a daily basis and you have billions of them.

Entropy

A few weeks ago I decided to build AGI. Since OpenAI, Deepmind and xAI haven't delivered yet with the smartest researchers and billions in compute I have ...

Computer graphics and geometry processing research provide the tools needed to simulate physical phenomena like fire and flames, aiding the creation of visual effects in video games and movies as well as the fabrication of complex geometric shapes using tools like 3D printing.

The Harvard Mark I is the first programmable computer ever built in the United States. The Register notes that Aiken developed the system's original concept and brought...

A team of scientists has developed a novel hybrid scheme for both steady and unsteady single-phase compressible flow simulations. Their scheme has potential applications in real-world scenarios, offering a promising avenue for future research.

Turbulence, temperature changes, water vapor, carbon dioxide, ozone, methane, and other gases absorb, reflect, and scatter sunlight as it passes through the atmosphere, bounces off the Earth's surface, and is collected by a sensor on a remote sensing satellite. As a result, the spectral data received at the sensor is distorted.

It's an exciting time for the fields of astronomy, astrophysics, and cosmology. Thanks to cutting-edge observatories, instruments, and new techniques, scientists are getting closer to experimentally verifying theories that remain largely untested. These theories address some of the most pressing questions scientists have about the universe and the physical laws governing it—like the nature of gravity, dark matter,…

It's an exciting time for the fields of astronomy, astrophysics, and cosmology.

Erin McCarthy '23, physics summa cum laude, is a rarity among young scientists. As an undergraduate researcher in Syracuse University's College of Arts & Sciences' Department of Physics, she guided a study that appeared in March 2024 in Physical Review Letters. It is the most-cited physics letters journal and the eighth-most cited journal in science overall.

Experiments with single-photon detectors have revealed surprising statistics of light created via interactions with high-frequency sound waves.

A new machine-learning technique can efficiently learn to control a robot, leading to better performance with fewer data.

Researchers develop an ionic device utilizing redox reactions as a major step towards using physical reservoir computing...

Donovan Young looks at the shapes made when two cones collide

I had just switched my major at Cal Poly State University from computer science to math. I wanted to double major but California was in a budget crisis and a few weeks before I tried submitting my…

We show how to rewrite a set of coupled differential equations in matrix form, and use eigenvalues and eigenvectors to solve the differential equation.

Albert Einstein's general theory of relativity describes how the fabric of space and time, or spacetime, is curved in response to mass. Our sun, for example, warps space around us such that planet Earth rolls around the sun like a marble tossed into a funnel (Earth does not fall into the sun due to the Earth's sideways momentum).

Robots may be able to cook breakfast soon with fluid manipulation skills.

Biological cells, whether free-living or part of a multicellular organism, have to perform hundreds of functions to survive, such as perceiving their environment, uptaking and metabolizing nutrients, regenerating decayed parts, reproducing themselves, and many more.