Tipping points in our climate predictions are both wildly dramatic and wildly uncertain. Can mathematicians make them useful?

Abstract: The latest video coding standard, versatile video coding (VVC), was developed to achieve higher video compression efficiency and support more media applications than its predecessor, ...

Abstract: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

Sparse methods are primarily valuable for systems in which the number of non-zero entries is substantially less than the overall size of the matrix. Such situations are common in physical systems, ...

We propose a novel score-based generative model for graphs that overcomes the limitation of previous generative methods, by introducing a diffusion process for graphs that can generate node features ...

In January I wrote a piece titled “ 5 Physics Equations Everyone Should Know .” Lots of you weighed in with your own ...

One often-repeated example illustrates the mind-boggling potential of quantum computing: A machine with 300 quantum bits ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...

Using a relatively young theory, a team of mathematicians has started to answer questions whose roots lie at the very ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Thriving in an exponential world requires more than a better strategy. It demands quantum thinking, the shift from linear ...

Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in ...