Aphantasia, the inability to form mental images, poses a serious challenge to an influential theory of abstract thought in ...

Have you ever looked at an abstract painting and wondered what the artist was thinking? A splash of color on a canvas can ...

When a standard large language model (LLM) is confronted with a problem, it tries to solve it by matching it to similar information it has seen before, and then give an answer based on those past ...

For more than 60 years, Professor Gilbert Strang has turned a linear algebra classroom at the Massachusetts Institute of ...

Researchers around the world are racing to develop new quantum-based systems for sensing, communication, computing and ...

Abstract: There are a wide variety of different vector formalisms currently utilized in engineering and physics. For example, Gibbs' three-vectors, Minkowski four-vectors, complex spinors in quantum ...

We propose a task-space admittance controller for dual-arm robotic systems using conformal geometric algebra. The controller is a reinterpretation of a previous work using dual quaternion algebra. By ...

Tristan Yates is executive director of Yates Management, a consultancy serving U.S. financial institutions and mortgage-backed security providers. Quantitative analysts, or quants, use complex math ...

Emmy Noether was a mathematician who discovered perhaps the most profound idea in contemporary physics. Noether’s theorem, which she formulated in 1915, says that symmetries in the universe give rise ...

Linear algebra is essential for understanding core data science concepts like machine learning, neural networks, and data transformations. Different books cater to various needs. Some focus on ...

Every query typed into a large language model (LLM), such as ChatGPT, requires energy and produces CO2 emissions. Emissions, however, depend on the model, the subject matter, and the user. Researchers ...