In this video, we solve a challenging geometry problem using pure logic, geometric reasoning, and smart observations—no trigonometric formulas required. This approach helps you build deeper ...

With its playlist chatbot, Spotify says you could ‘curate your next Discover Weekly, exactly the way you want it.’ With its playlist chatbot, Spotify says you could ‘curate your next Discover Weekly ...

OpenAI says ChatGPT will now ditch the em dashes if you tell it to. The telltale sign that supposedly signals text written by AI has popped up everywhere in recent months, including in school papers, ...

1 School of Management, University of Shanghai for Science and Technology, Shanghai, China 2 Institute of Mathematical Sciences ICMAT-CSIC, Madrid, Spain In the open capacitated location-routing ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

When adults cultivate a “growth mindset” in adulthood and view their mistakes as an opportunity for personal growth and education, even the most uncomfortable situations can have a bright side. Even ...

Deputy Director, Healthy Brain and Mind Research Centre Program Lead, Neuroscience of Addiction and Mental Health Program, Australian Catholic University Wayne Hall has in the past five years been ...

Abstract: In this work, we extend the simplex algorithm of linear programming for finding a local minimum of a concave quadratic function subject to box constraints. In order to test the performance ...