Quantum computers—devices that process information using quantum mechanical effects—have long been expected to outperform ...

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 ...

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 ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

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 ...

Abstract: In multimodal multi-objective optimization problems (MMOPs), multiple solutions on different Pareto optimal solution sets (PSs) are mapped to the same point on the Pareto front. Considering ...

g++ or clang with C++17 features support (tested with g++ 13.2.1 and clang 14.0.6) on Linux machines. We use ParlayLib to support fork-join parallelism and some parallel primitives. It is provided as ...

Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...

I know that for chordal graphs, Sage has a function to recognize a perfect elimination ordering. This problem is somewhat similar, identifying chordal bipartite graphs. The following theorem is ...

Sept 2 (Reuters) - French jet engine maker Safran (SAF.PA), opens new tab said on Monday it had struck a deal to buy AI firm Preligens for 220 million euros ($243.3 million). Preligens, which ...