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Categories: Mathematics: General
Published New method flips the script on topological physics
(via sciencedaily.com) Original source 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.
Published What coffee with cream can teach us about quantum physics
(via sciencedaily.com) Original source 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.
Published A new mathematical language for biological networks
(via sciencedaily.com) Original source 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.
Published ChatGPT often won't defend its answers -- even when it is right
(via sciencedaily.com) Original source 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.
Published Mathematics supporting fresh theoretical approach in oncology
(via sciencedaily.com) Original source 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.
Published New computer code for mechanics of tissues and cells in three dimensions
(via sciencedaily.com) Original source 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.
Published Nuclear expansion failure shows simulations require change
(via sciencedaily.com) Original source 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.
Published Reverse engineering Jackson Pollock
(via sciencedaily.com) Original source 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.
Published Machine learning used to probe the building blocks of shapes
(via sciencedaily.com) Original source Applying machine learning to find the properties of atomic pieces of geometry shows how AI has the power to accelerate discoveries in maths.
Published Groundbreaking mathematical proof: New insights into typhoon dynamics unveiled
(via sciencedaily.com) Original source A research team has provided irrefutable proof that certain spherical vortices exist in a stable state.
Published Sperm swimming is caused by the same patterns that are believed to dictate zebra stripes
(via sciencedaily.com) Original source Patterns of chemical interactions are thought to create patterns in nature such as stripes and spots. This new study shows that the mathematical basis of these patterns also governs how sperm tail moves.
Published Machine learning unravels mysteries of atomic shapes
(via sciencedaily.com) New research has used machine learning to find the properties of atomic pieces of geometry, in pioneering work that could drive the development of new results in mathematics.
Published Machine learning models can produce reliable results even with limited training data
(via sciencedaily.com) Researchers have determined how to build reliable machine learning models that can understand complex equations in real-world situations while using far less training data than is normally expected.
Published Are US teenagers more likely than others to exaggerate their math abilities?
(via sciencedaily.com) A major new study has revealed that American teenagers are more likely than any other nationality to brag about their math ability.
Published Evolution wired human brains to act like supercomputers
(via sciencedaily.com) Scientists have confirmed that human brains are naturally wired to perform advanced calculations, much like a high-powered computer, to make sense of the world through a process known as Bayesian inference.
Published New super-fast flood model has potentially life-saving benefits
(via sciencedaily.com) Researchers have developed a new simulation model, which can predict flooding during an ongoing disaster more quickly and accurately than currently possible.
Published What do neurons, fireflies and dancing the Nutbush have in common?
(via sciencedaily.com) Synchronicity is all around us, but it is poorly understood. Computer scientists have now developed new tools to understand how human and natural networks fall in and out of sync.
Published Electrical noise stimulation applied to the brain could be key to boosting math learning
(via sciencedaily.com) Exciting a brain region using electrical noise stimulation can help improve mathematical learning in those who struggle with the subject, according to a new study.
Published Quantum computer unveils atomic dynamics of light-sensitive molecules
(via sciencedaily.com) Researchers have implemented a quantum-based method to observe a quantum effect in the way light-absorbing molecules interact with incoming photons. Known as a conical intersection, the effect puts limitations on the paths molecules can take to change between different configurations. The observation method makes use of a quantum simulator, developed from research in quantum computing, and offers an example of how advances in quantum computing are being used to investigate fundamental science.
Published Researchers use mathematical modeling and dynamic biomarkers to characterize metastatic disease during adaptive therapy
(via sciencedaily.com) Researchers demonstrate how mathematical modeling combined with dynamic biomarkers can be used to characterize metastatic disease and identify appropriate therapeutic approaches to improve patient outcomes.