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Categories: Mathematics: General

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Australia has suffered a significant drop in teenage maths proficiency in the past 20 years -- sliding from 11th in the OECD rankings to 29th place out of 38 countries, prompting widespread debate over potential curriculum changes. One researcher says hand gestures could stop the slide.

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How does a cell balance risk and speed when dividing? Scientists have developed and experimentally tested the first mathematical theory that describes the cell's best strategy for dividing safely and efficiently.

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Scientists identified the most relevant predictive variables for anticipating hospital demand and proposed using an ensemble model based on the average of the predictions of several individual models.

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Researchers have developed a technique that enables a robot to learn a new pick-and-place task with only a handful of human demonstrations. This could allow a human to reprogram a robot to grasp never-before-seen objects, presented in random poses, in about 15 minutes.

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Studying how brain cells respond to signals from their neighbors can aid the understanding of cognition and development. However, experimentally measuring the brain's activity is complicated. Neuron models provide a non-invasive way to investigate the brain, but most existing models are either computationally intensive or cannot model complex neuronal responses. Recently, a team has used a computationally simple neuron model to simulate some of the complex responses of neurons.

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Scientists explore the mathematics of combing and explain why the brushing technique used by so many is the most effective method to detangle a bundle of fibers.

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Math is the language of the physical world, and some see mathematical patterns everywhere: in weather, in the way soundwaves move, and even in the spots or stripes zebra fish develop in embryos.

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Physicists know about the huge chasm between quantum physics and the theory of gravity. However, in recent decades, theoretical physics has provided some plausible conjecture to bridge this gap and to describe the behavior of complex quantum many-body systems -- for example, black holes and wormholes in the universe. Now, researchers have proven a mathematical conjecture about the behavior of complexity in such systems, increasing the viability of this bridge.

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Researchers have used computer simulations to show that weather phenomena such as sudden downpours could potentially be modified by making small adjustments to certain variables in the weather system. They did this by taking advantage of a system known as a 'butterfly attractor' in chaos theory, where a system can have one of two states -- like the wings of a butterfly -- and that it switches back and forth between the two states depending on small changes in certain conditions.

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Humans are usually pretty good at recognizing when they get things wrong, but artificial intelligence systems are not. According to a new study, AI generally suffers from inherent limitations due to a century-old mathematical paradox.

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Scientists who interact with others during assigned sessions at conferences are more likely to form productive collaborations than scientists who do not, researchers found. And the kicker? It doesn't matter whether the conference is in person or virtual.

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With the insertion of a little math, researchers have shown that neuromorphic computers, which synthetically replicate the brain's logic, can solve more complex problems than those posed by artificial intelligence and may even earn a place in high-performance computing. Neuromorphic simulations employing random walks can track X-rays passing through bone and soft tissue, disease passing through a population, information flowing through social networks and the movements of financial markets.

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A new analysis shows that researchers using machine learning methods could risk underestimating uncertainties in their final results.

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How can Einstein's theory of gravity be unified with quantum mechanics? It is a challenge that could give us deep insights into phenomena such as black holes and the birth of the universe. Now, a new article presents results that cast new light on important challenges in understanding quantum gravity.

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Scientists provide the first simulation of neutron star collisions in extensions of general relativity relevant for cosmology, offering a new approach to test gravity.

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A series of experiments using paper airplanes reveals new aerodynamic effects, a team of scientists has discovered. Its findings enhance our understanding of flight stability and could inspire new types of flying robots and small drones.