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 ...
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 ...
Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...
In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...
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Solving the composition of two functions
Learn how to compose two linear functions. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of one of ...
Modulus: Factory Automation is available now on PC via Steam. Watch the Modulus: Factory Automation launch trailer for this creative sandbox factory simulation game where you don’t just solve problems ...
Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is ...
Neural tissue normally dies quickly without oxygen. Yet bird retinas—among the most energy-demanding tissues in the animal kingdom—function permanently without it. This may be relevant in future ...
Among high school students and adults, girls and women are much more likely to use traditional, step-by-step algorithms to solve basic math problems – such as lining up numbers to add, starting with ...
Get a fresh look at Modulus in this latest trailer for the upcoming factory automation game. Modulus version 1.0 will be available on PC in 2026, and an expanded and updated demo is out now on Steam.
Project Euler Problem 50 asks us to find the prime below one million that can be written as the sum of the most consecutive primes. For example, the prime 41 equals 2 + 3 + 5 + 7 + 11 + 13 (six ...
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