Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

Abstract: The Heterogeneous Fleet Vehicle Routing Problem (HFVRP) aims to find optimal routes for vehicles with different capacities and costs, and is common in real-world applications. Total cost and ...

Few things amaze me like people who can solve a Rubik's Cube. Sure, lots of things amaze me more — mountains, elaborate water features, how my dog sits on the couch and watches Unsolved Mysteries like ...

Abstract: Multi-objective multi-point shortest path planning problems are commonly encountered in real-world applications. Numerous path planning algorithms have been proposed to accommodate different ...

Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

You introduce a math problem, and before anyone begins, a few students already look defeated. Some avoid eye contact. Others quietly insist they are “bad at math.” For many learners, this is what math ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

A Microsoft account allows you to sign in to a wide range of Microsoft 365 apps and services using a single email and password. However, at times, you may encounter issues signing in to these apps.

Last month many mathematicians were shocked by OpenAI’s announcement that artificial intelligence had solved geometry’s famous “unit distance” problem. For some, the achievement was exciting. But ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

IPO mania has begun, and nothing kickstarts initial public offerings like spreadsheets flashing green to incite the crowd. SpaceX’s recent S-1 filing promoted an “actionable total addressable market” ...

AI has solved a long-standing open geometry problem dating back to 1946, The New York Times reports. Scientists say the technology was able to accomplish this feat because it took an unconventional ...