Table Patterns Go Wild!
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids....
Mathematics - Research News
New mathematical proof helps to solve equations with random components
Whether it's physical phenomena, share prices or climate models—many dynamic processes in our world can be described mathematically with the aid of partial differential equations. Thanks to stochastics—an area of mathematics which deals with probabilities—this is even possible when randomness plays...
Merging AI and human efforts to tackle complex mathematical problems
By rapidly analyzing large amounts of data and making accurate predictions, artificial intelligence (AI) tools could help to answer many long-standing research questions. For instance, they could help to identify new materials to fabricate electronics or the patterns in brain activity associated...
Pick's Theorem
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons....
Charlie's Delightful Machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?...
Study finds cooperation can still evolve even with limited payoff memory
Direct reciprocity facilitates cooperation in repeated social interactions. Traditional models suggest that individuals learn to adopt conditionally cooperative strategies if they have multiple encounters with their partner. However, most existing models make rather strong assumptions about how...
M, M and M
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?...
Tilted Squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?...
Study shows the power of social connections to predict hit songs
Ever wondered how your friends shape your music taste? In a recent study, researchers at the Complexity Science Hub (CSH) demonstrated that social networks are a powerful predictor of a song's future popularity. By analyzing friendships and listening habits, they've boosted machine learning...
Wire-cut forensic examinations currently too unreliable for court, new study says
A research article published June 10 in the Proceedings of the National Academy of Sciences highlights the importance of careful application of high-tech forensic science to avoid wrongful convictions....