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Categories: Geoscience: Volcanoes, Mathematics: General

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A new safety-check technique can prove with 100 percent accuracy that a planned robot motion will not result in a collision. The method can generate a proof in seconds and does so in a way that can be easily verified by a human.

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Solving arithmetic problems, even simple subtractions, involves mental representations whose influence remains to be clarified. Visualizing these representations would enable us to better understand our reasoning and adapt our teaching methods. A team has now analyzed drawings made by children and adults when solving simple problems. The scientists found that, whatever the age of the participant, the most effective calculation strategies were associated with certain drawing typologies. These results open up new perspectives for the teaching of mathematics.

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A new mathematical model has shown, with great precision, the impact that physiological and psychological parameters have on running performance and provides tips for optimized training.

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The tone and tuning of musical instruments has the power to manipulate our appreciation of harmony, new research shows. The findings challenge centuries of Western music theory and encourage greater experimentation with instruments from different cultures.

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Intelligent tutoring systems for math problems helped pupils remain or even increase their performance during the coronavirus pandemic, according to a new study. Researchers analyzed data from five million exercises done by around 2,700 pupils in Germany over a period of five years. The study found that particularly lower-performing children benefit if they use the software regularly.

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Human coexistence depends on cooperation. Individuals have different motivations and reasons to collaborate, resulting in social dilemmas, such as the well-known prisoner's dilemma. Scientists now present a new mathematical principle that helps to understand the cooperation of individuals with different characteristics.

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A detailed survey of the volcanic underwater deposits around the Kikai caldera in Japan clarified the deposition mechanisms as well as the event's magnitude. As a result, the research team found that the event 7,300 years ago was the largest volcanic eruption in the Holocene by far.

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Engineers have developed a new chip that uses light waves, rather than electricity, to perform the complex math essential to training AI. The chip has the potential to radically accelerate the processing speed of computers while also reducing their energy consumption.

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The springtime emergence of vast swarms of cicadas can be explained by a mathematical model of collective decision-making with similarities to models describing stock market crashes.

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For decades scientists have been trying to solve Feynman's Sprinkler Problem: How does a sprinkler running in reverse work? Through a series of experiments, a team of mathematicians has figured out how flowing fluids exert forces and move structures, thereby revealing the answer to this long-standing mystery.

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The branch of mathematics known as topology has become a cornerstone of modern physics thanks to the remarkable -- and above all reliable -- properties it can impart to a material or system. Unfortunately, identifying topological systems, or even designing new ones, is generally a tedious process that requires exactly matching the physical system to a mathematical model. Researchers have demonstrated a model-free method for identifying topology, enabling the discovery of new topological materials using a purely experimental approach.

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A new advancement in theoretical physics could, one day, help engineers develop new kinds of computer chips that might store information for longer in very small objects.

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Researchers are presenting a novel concept for the mathematical modeling of genetic interactions in biological systems. The team has successfully identified master regulators within the context of an entire genetic network. The research results provide a coherent theoretical framework for analyzing biological networks.

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ChatGPT may do an impressive job at correctly answering complex questions, but a new study suggests it may be absurdly easy to convince the AI chatbot that it's in the wrong.

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Mathematics, histopathology and genomics converge to confirm that the most aggressive clear cell renal cell carcinomas display low levels of intratumour heterogeneity, i.e. they contain fewer distinct cell types. The study supports the hypothesis that it would be advisable to apply therapeutic strategies to maintain high levels of cellular heterogeneity within the tumour in order to slow down the evolution of the cancer and improve human survival.  

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The Hunga Tonga-Hunga Ha'apai volcano changed the chemistry and dynamics of the stratosphere in the year following the eruption, leading to unprecedented losses in the ozone layer of up to 7% over large areas of the Southern Hemisphere.  

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Biological materials are made of individual components, including tiny motors that convert fuel into motion. This creates patterns of movement, and the material shapes itself with coherent flows by constant consumption of energy. Such continuously driven materials are called 'active matter'. The mechanics of cells and tissues can be described by active matter theory, a scientific framework to understand shape, flows, and form of living materials. The active matter theory consists of many challenging mathematical equations. Scientists have now developed an algorithm, implemented in an open-source supercomputer code, that can for the first time solve the equations of active matter theory in realistic scenarios. These solutions bring us a big step closer to solving the century-old riddle of how cells and tissues attain their shape and to designing artificial biological machines.

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A team of researchers looked back at a model that predicted nuclear power would expand dramatically in order to assess the efficacy of energy policies implemented today.

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Researchers estimated that before humans started pumping mercury into the atmosphere, it contained on average about 580 megagrams of mercury. However, in 2015, independent research that looked at all available atmospheric measurements estimated the atmospheric mercury reservoir was about 4,000 Mg -- nearly 7 times larger than the natural condition estimated in this study.  

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Researchers combined physics and machine learning to develop a new 3D-printing technique that can quickly create complex physical patterns -- including replicating a segment of a Pollock painting -- by leveraging the same natural fluid instability that Pollock used in his work.