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New ActivityThe latest activity to be updated on this site is called "Division Master" (How quickly can you answer times table questions presented the wrong way round?). So far this activity has been accessed 209 times and 19 people have earned a Transum Trophy for completing it. 
Featured ActivityEquatero Find the mathematical expression from a series of guesses and clues. This is the numerical version of the extremely popular internet sensation Wordle and UK TV quiz show called Lingo. Recent News:Like human brains, large language models reason about diverse data in a general wayResearchers find large language models process diverse types of data, like different languages, audio inputs, images, etc., similarly to how humans reason about complex problems. Like humans, LLMs integrate data inputs across modalities in a central hub that processes data in an input-type-agnostic fashion. more... The molecular Einstein: One molecule, endless patternsIs it possible to tile a surface with a single shape in such a way that the pattern never repeats itself? In 2022, a mathematical solution to this 'Einstein problem' was discovered for the first time. Researchers have now also found a chemical solution: a molecule that arranges itself into complex, non-repeating patterns on a surface. The resulting aperiodic layer could even exhibit novel physical properties. more... School bans alone not enough to tackle negative impacts of phone and social media use, researchers findStudents attending schools that ban the use of phones throughout the school day aren't necessarily experiencing better mental health and wellbeing, as the first worldwide study of its kind has found that just banning smartphones is not enough to tackle their negative impacts. more... Study in India shows kids use different math skills at work vs. schoolA study by economists shows a wide gap between the kinds of math problems kids who work in retail markets do well and the kinds of problems kids in school do well. more... Materials can 'remember' a sequence of events in an unexpected wayMany materials store information about what has happened to them in a sort of material memory, like wrinkles on a once crumpled piece of paper. Now, a team of physicists has uncovered how, under specific conditions, some materials seemingly violate underlying mathematics to store memories about the sequence of previous deformations. more... Even quantum physics obeys the law of entropyThe universe is getting more disordered, entropy is growing -- this is the second law of thermodynamics. But according to quantum theory, entropy should actually stay the same. Scientists took a closer look and resolved this apparent contradiction. more... Synchronization in neural nets: Mathematical insight into neuron readout drives significant improvements in prediction accuracyResearchers applied the mathematical theory of synchronization to clarify how recurrent neural networks (RNNs) generate predictions, revealing a certain map, based on the generalized synchronization, that yields correct target values. They showed that conventional reservoir computing (RC), a type of RNN, can be viewed as a linear approximation, and introduced a 'generalized readout' incorporating further order approximations. Using a chaotic time-series forecasting task, they demonstrated that this approach dramatically enhances both prediction accuracy and robustness. more... |
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