Abstract: The classical inverse scattering methods have been developed to reformulate the Lippmann-Schwinger integral equation (LS-IE) for mitigating the nonlinearity, such as the new integral ...

Abstract: Inverse Kinematics (IK) is an integral part of robot manipulation. IK can be challenging to solve, and many computer-aided approaches have been proposed but each has its limitations. The ...

As a resource specialist program teacher, I often work with students who know how to add, subtract, multiply, and divide during isolated math practice, but completely freeze when those same skills ...

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 ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...

For new discoveries, everyday mysteries, and the science behind the headlines, follow NPR's ShortWave podcast . Over a century ago, the German psychologist Wolfgang Köhler conducted what became a ...

Bumblebees faced with a challenge know how to play ball. Buff-tailed bumblebees can figure out on their own how to use a ball as a ladder to nab sugar from an out-of-reach fake flower, researchers ...

For generations, mathematicians have tried and failed to solve an 80-year-old problem. In May, an artificial intelligence (AI) model successfully tackled it. OpenAI, the maker of ChatGPT, said one of ...

Despite having tiny brains, bumblebees have demonstrated a remarkable ability to socially learn how to use tools, solve simple puzzles, and cooperate to achieve a goal. It seems they can also solve ...

German psychologist Wolfgang Köhler set up a famous experiment more than 100 years ago that changed how scientists understand animal intelligence and the power of insight — or spontaneous ...

In a new study, bumble bees solve a completely novel object-manipulation task. What makes this behavior especially remarkable is that the bees had never been trained. The findings challenge the ...

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 ...