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 ...

Contrary to their name, bumblebees are no bumbling oafs. A new study published in Science on Thursday found that these bees utilized tools to solve complex problems to win a sugary treat, even if they ...

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 ...

Learn how to solve absolute value equations. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve ...

Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value ...

Your brain could be gently coaxed into working on complex problems while you sleep, making you better able to tackle them the next day. Now, Karen Konkoly at Northwestern University in Illinois and ...

Do you stare at a math word problem and feel completely stuck? You're not alone. These problems mix reading comprehension with complex math concepts, making them a common hurdle for students. The good ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

The Environmental Protection Agency has stopped estimating the dollar value of lives saved in the cost-benefit analyses for new pollution rules. Los Angeles smog in 1979. For decades, government ...

The common techniques for solving two-point boundary value problems can be classified as either "shooting" or "finite difference" methods. Central to a shooting method is the ability to integrate the ...

We are moving from a world of institutional dependency to one of personal responsibility. The question is no longer, “What can we do for people?” but, “How can we equip people to do more for ...

Sven, a sales leader, received a call from a major customer who was furious. Their order arrived late, the product was damaged, and to top it off, their invoice didn’t reflect the volume discount ...