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Categories: Mathematics: General, Physics: Acoustics and Ultrasound

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New research explains the mathematics behind how initial predispositions and additional information affect decision making.

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In a new study, researchers created a sort of simulated voting booth -- a space where people, or mathematical 'agents,' with various biases could deliberate over decisions. The results may help to reveal the mathematics of how the human brain acts when it needs to make a choice.

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A new artificial intelligence model can predict how different proteins may bind to DNA.

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Heat and pressure can deteriorate the properties of piezoelectric materials that make state-of-the-art ultrasound and sonar technologies possible -- and fixing that damage has historically required disassembling devices and exposing the materials to even higher temperatures. Now researchers have developed a technique to restore those properties at room temperature, making it easier to repair these devices -- and paving the way for new ultrasound technologies.

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Eye-tracking allows studying aspects that cannot be seen, for example, the thinking processes of a student solving a mathematical problem. Researchers have integrated eye-tracking into education and are using the technology to radically improve the teaching of mathematics.

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In blockchain development, there is a rule of thumb that only two of scalability, security, and decentralization are valid simultaneously. However, the mathematical expression of that rule was still a work in progress. Researchers discovered a mathematical expression for the blockchain trilemma. In the formula for Proof of Work-based blockchains, including Bitcoin, the product of the three terms--scalability, security, and decentralization--is 1.

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Scientists propose a new way of implementing a neural network with an optical system which could make machine learning more sustainable in the future. In a new paper, the researchers have demonstrated a method much simpler than previous approaches.

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In a new study, researchers used low-intensity ultrasound technology to noninvasively alter a brain region associated with activities such as daydreaming, recalling memories and envisioning the future.

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Post-COVID research has extensively focused on the efficacy of internal travel restrictions and cross-border travel has received less attention due to challenges in accessing quality data. In a major multidisciplinary collaboration effort across Finland, Sweden, Norway, and Denmark, a group of researchers -- including mathematicians, physicists and computer scientists -- have published a pioneering study on the spread of infections across Nordic borders from spring until the end of 2020. The report sheds light on the efficacy of cross-border travel restrictions, helping us better understand which measures actually make a difference.

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Scientists have developed a new, more energy-efficient way for AI algorithms to process data. His model may become the basis for a new generation of AI that learns like we do. Notably, these findings may also lend support to neuroscience theories surrounding memory's role in learning.

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Looking under the microscope, a group of cells slowly moves forward in a line, like a train on the tracks. The cells navigate through complex environments. A new approach now shows how they do this and how they interact with each other.

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Opera singers have to use the extreme limits of their voice range. Many pedagogical and scientific sources suggest that the highest pitches reached in classical singing can only be produced with a so-called 'whistle' voice register, in analogy to ultrasonic vocalizations of mice and rats. An international research team has now rejected this assumption. In their study, the scientists showed that the high-frequency sounds of operatic sopranos are produced with the same principle than speech and most other forms of singing.

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Brain-computer interfaces or BCIs hold immense potential for individuals with a wide range of neurological conditions, but the road to implementation is long and nuanced for both the invasive and noninvasive versions of the technology. Scientists have now successfully integrated a novel focused ultrasound stimulation to realize bidirectional BCI that both encodes and decodes brain waves using machine learning in a study with 25 human subjects. This work opens up a new avenue to significantly enhance not only the signal quality, but also, overall nonivasive BCI performance by stimulating targeted neural circuits.

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Boys are good at math, girls not so much? A study has analyzed the social mechanisms that contribute to the gender gap in math confidence. While peer comparisons seem to play a crucial role for boys, girls' subjective evaluations are more likely to be based on objective performance.

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Researchers have developed a model that enables computers to interpret and understand human emotions, utilizing principles of mathematical psychology. In the future, the model can help the computer to adapt its own behavior and guide an irritated or anxious user in different ways. The implications of such technology are profound, offering a glimpse into a future where computers are not merely tools, but empathetic partners in user interaction.

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Researchers have developed a platform for the interactive evaluation of AI-powered chatbots such as ChatGPT. A team of computer scientists, engineers, mathematicians and cognitive scientists developed an open-source evaluation platform called CheckMate, which allows human users to interact with and evaluate the performance of large language models (LLMs).

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A team used experiments and simulations to quantify and predict how knit fabric response can be programmed. By establishing a mathematical theory of knitted materials, the researchers hope that knitting -- and textiles in general -- can be incorporated into more engineering and manufacturing applications.

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Biological processes depend on puzzle pieces coming together and interacting. Under specific conditions, these interactions can create something new without external input. This is called self-organization, as seen in a school of fish or a flock of birds. Interestingly, the mammalian embryo develops similarly. Scientists now introduce a mathematical framework that analyzes self-organization from a single cell to a multicellular organism.

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An international research team has sparked interest in the scientific community with results in quantum physics. In their current study, the researchers reinterpret the Higgs mechanism, which gives elementary particles mass and triggers phase transitions, using the concept of 'magnetic quivers.'

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Scientists have employed artificial intelligence techniques to improve the design and production of nanofibers used in wearable nanofiber acoustic energy harvesters (NAEH). These acoustic devices capture sound energy from the environment and convert it into electrical energy, which can then be applied in useful devices, such as hearing aids.