Abstract: Reachability analysis is a formal method to guarantee safety of dynamical systems under the influence of uncertainties. A substantial bottleneck of all reachability algorithms is the ...

Discover a fast and powerful calculus-based method for finding square roots with impressive accuracy. This explanation shows how derivatives and iterative approximation can be used to quickly zero in ...

The mathematics behind artificial intelligence (AI) and machine learning (ML) rely on linear algebra, calculus, probability, and statistics. These provide the foundation for developing the needed ...

The four-year-old startup founded by three Finns is already used by fellow startups like Cohere, Ramp and Runway. It’s now valued at about $400 million as it makes a big-business push. Other startups ...

Zero-correlation linear cryptanalysis is an important method to analyze the security of block ciphers. But there are few works on zero-correlation linear attacks combined with the related-key setting.

We discuss structure-preserving model order reduction for port-Hamiltonian systems based on a nonlinear approximation ansatz which is linear with respect to a part of the state variables of the ...

Special functions have many remarkable properties that make them useful in various fields such as combinatory, astronomy, applied mathematics, physics, and engineering. This volume presents 15 ...

Editor’s Note: This story was updated at 11:48 p.m. on May 9 to accurately represent the current number of signatures on the most recent multivariable calculus open letter. In a second open letter to ...

In order to understand how climate responds to changes in sea surface temperature (SST), it is common to use linear approximations, i.e. the response is assumed to vary linearly with the sign and ...