Discover the importance of homoskedasticity in regression models, where error variance is constant, and explore examples that illustrate this key concept.

They call it a “world model”, an essential tool to help AI systems make sense of the complex, unpredictable physical spaces into which many will eventually be put to work. The company argues that a ...

Tao: Today there are a lot of very tedious types of mathematics that we don’t like doing, so we look for clever ways to get ...

Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the ...

The GSMM Camp is a weeklong workshop that builds interdisciplinary problem-solving skills for graduate and advanced undergraduate students. Participants work in teams on mathematically rich problems ...

Statistical models predict stock trends using historical data and mathematical equations. Common statistical models include regression, time series, and risk assessment tools. Effective use depends on ...

Abstract: This paper describes software for designing homodesmic reactions using the example of a cyclic compound of cyclobutanecarbonitrile. The homodesmic method showed high reliability of the ...

Introduction The COVID-19 pandemic highlighted the significance of mathematical modelling in decision-making and the limited capacity in many low-income and middle-income countries (LMICs). Thus, we ...

New research demonstrates how mathematical modeling can predict outbreaks of toxic fungi in Texas corn crops -- offering a potential lifeline to farmers facing billions in harvest losses. New research ...

Researchers in Japan have created a mathematical model that may help doctors pinpoint and treat swallowing difficulties with greater precision. The study results were published on the Kyushu ...

A few months before the 2025 International Mathematical Olympiad (IMO) in July, a three-person team at OpenAI made a long bet that they could use the competition’s brutally tough problems to train an ...

As the AI spending bubble swells, so too are the numbers of people being drawn into delusional spirals by overly-confident chatbots. Joining their ranks is Allan Brooks, a father and business owner ...