Professional mathematicians have been stunned by the progress amateurs have made in solving long-standing problems with the ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem ...

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, ...

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 ...

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 ...

$$ \begin{array}{ll} \underset{x \in \mathbb{R}^n}{\min} \quad & \langle c, x \rangle \\ \text{s.t.} \quad & L \leq A x \leq U, \\ & l \leq x \leq u . \end{array ...

Forbes contributors publish independent expert analyses and insights. John Hall covers entrepreneurial topics that help companies grow. Many attributes go into strong leadership, such as having a ...

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 ...

Sariki Abungwo, Founder/CEO of Blesatech. Helping small business owners to start and grow their businesses by leveraging marketing systems. A leader’s journey is marked by their ability to identify ...

Yann LeCun’s argues that there are limitations of chain-of-thought (CoT) prompting and large language model (LLM) reasoning. LeCun argues that these fundamental limitations will require an entirely ...

California's sea otters have become surprising environmental champions by tackling a destructive invasive species wreaking havoc in Elkhorn Slough. These adorable marine mammals have naturally solved ...