ABSTRACT: Two Mehrotra-type predictor-corrector interior point algorithms are proposed for solving symmetric cone optimization (SCO) problems, using the Euclidean Jordan algebra. The algorithms ...

Encryption systems rely on “random” numbers, but conventional computers can’t generate them perfectly. New research shows that quantum physics can. By Alexander Nazaryan Researchers in Switzerland ...

Clinical end point classification (CEC) is the gold standard for cardiovascular end point measurement in clinical trials but adds time and cost. We developed and validated an artificial intelligence ...

It’s no secret that many of us are not too fond of mathematics and geometry, and that it is often too complex. But even so, it can be pretty mind-blowing to look back in history and discover the ...

Euclidean Minimum Spanning Trees using single-, sesqui-, and dual-tree Borůvka algorithms, which are quite fast in spaces of low intrinsic dimensionality, minimum spanning trees with respect to mutual ...

On 19 March 2025, the European Space Agency's Euclid mission releases its first batch of survey data, including a preview of its deep fields. Here, hundreds of thousands of galaxies in different ...

The consortium running the European Space Agency's (ESA) Euclid mission has published the most extensive simulation of the cosmos to date. The modeling was based on algorithms developed by UZH ...

In this article we prove two characterizations of the Euclidean ball: (i) the only convex body in ℝ³ such that every normal plane bisects the volume (or surface area) is the Euclidean ball, (ii) the ...

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

Covering a huge area of the sky in three mosaics, the data release also includes numerous galaxy clusters, active galactic nuclei and 500 gravitational lens candidates – cases where light from distant ...