This paper proposes an exact method to solve an integer indefinite quadratic bilevel problem with multiple objectives at the upper level, where the objective functions at both levels are a product of ...

The Lenstra–Lenstra–Lovász (LLL) Algorithm is a Polynomial-Time Algorithm that Finds a Short and Nearly Orthogonal Basis of a Lattice, which is Used for Applications Like Factoring Polynomials, ...

Master problem-solving with a simple, powerful 3-step approach that works across all languages and challenges. Whitefish crash has Michigan fishers on the brink: ‘It makes you want to cry’ Donald ...

Consider someone who’s perfectly content with their office chair. It’s not ergonomic, it doesn’t have lumbar support, but it works. Then, during a meeting or a visit to a friend’s office, they sit in ...

For the C implementation on GPUs (recommended for benchmarking), please visit the following repository: $$ \begin{array}{ll} \underset{x \in \mathbb{R}^n}{\min} \quad ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

In recent months there has been increased scrutiny of how women are sentenced, following the Independent Sentencing Review and wider discussions associated with enhancing community-based alternatives ...

The objective of the 3D-SCALO problem is to assign the given components to optimal mounting surfaces and position them at the best locations, while satisfying the requirements for (1) heat dissipation ...

The ability to solve complex problems effectively has become a defining factor for success. Yet, despite the abundance of tools and methodologies available, I've noticed organizations often struggle ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...