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Categories: Mathematics: General, Mathematics: Statistics

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New research from Dartmouth takes a fresh look at game theory to show that being uncooperative can help people on the weaker side of a power dynamic achieve a more equal outcome -- and even inflict some loss on their abusive counterpart. The findings can be applied to help equalize the balance of power in labor negotiations, international relations and everyday interactions, as well as integrate cooperation into interconnected AI systems such as driverless cars.

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In the space of a few months generative AI models, such as ChatGPT, Google's Bard and Midjourney, have been adopted by more and more people in a variety of professional and personal ways. But growing research is underlining that they are encoding biases and negative stereotypes in their users, as well as mass generating and spreading seemingly accurate but nonsensical information. Worryingly, marginalized groups are disproportionately affected by the fabrication of this nonsensical information.

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How do asset markets work? Which stocks behave similarly? Economists, physicists, and mathematicians work intensively to draw a picture but need to learn what is happening outside their discipline. A new paper now builds a bridge.

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Children who receive high-quality child care as babies, toddlers and preschoolers do better in science, technology, engineering and math through high school, and that link is stronger among children from low-income backgrounds, according to new research.

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Researchers developed a machine-learning technique that can autonomously drive a car or fly a plane through a very difficult 'stabilize-avoid' scenario, in which the vehicle must stabilize its trajectory to arrive at and stay within some goal region, while avoiding obstacles.

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Researchers are trying to make the process more efficient and definitive by using artificial intelligence, combined with a classic mathematical method for quantifying web-like networks, to determine how damaged a concrete structure is, based solely on its pattern of cracking.

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Miniaturization is progressing rapidly in just any field and the trend towards the creation of ever smaller units is also prevalent in the world of robot technology. In the future, minuscule robots used in medical and pharmaceutical applications might be able to transport medication to targeted sites in the body. Statistical physics can contribute to the foundations for the development of such technologies.

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Researchers explore the role of uneven coffee extraction using a simple mathematical model. They split the coffee into two regions to examine whether uneven flow does in fact make weaker espresso. One of the regions in the model system hosted more tightly packed coffee than the other, which caused an initial disparity in flow resistance. The extraction of coffee decreased the flow resistance further. Understanding the origin of uneven extraction and avoiding or preventing it could enable better brews and substantial financial savings by using coffee more efficiently.

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Researchers wanted to understand precisely how blackworms execute tangling and ultrafast untangling movements for a myriad of biological functions. They researched the topology of the tangles. Their research could inform the design of fiber-like, shapeshifting robotics that self-assemble and move in ways that are fast and reversible.

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ChatGPT faced off against students on accounting assessments. Students scored an overall average of 76.7%, compared to ChatGPT's score of 47.4%. On a 11.3% of questions, ChatGPT scored higher than the student average, doing particularly well on AIS and auditing. But the AI bot did worse on tax, financial, and managerial assessments, possibly because ChatGPT struggled with the mathematical processes required for the latter type.

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In the quantum world particles can instantaneously know about each other's state, even when separated by large distances. This is known as nonlocality. Now, A research group has produced some interesting findings on the Hardy nonlocality that have important ramifications for understanding quantum mechanics and its potential applications in communications.

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Scientists have developed a software package to help answer key questions about genetic factors associated with shared characteristics among different species.

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A researcher has solved a nearly 60-year-old game theory dilemma called the wall pursuit game, with implications for better reasoning about autonomous systems such as driver-less vehicles.

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Researchers have mapped the sparse life hidden away in salt domes, rocks and crystals at Salar de Pajonales at the boundary of the Chilean Atacama Desert and Altiplano. Then they trained a machine learning model to recognize the patterns and rules associated with their distributions so it could learn to predict and find those same distributions in data on which it was not trained. In this case, by combining statistical ecology with AI/ML, the scientists could locate and detect biosignatures up to 87.5 percent of the time and decrease the area needed for search by up to 97 percent.

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Mathematical research brings new understanding of crowd formation and behavior.

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A new study finds that high school students identify more with math if they see their math teacher treating everyone in the class equitably, especially in racially diverse schools. While the relationship between teacher equity and math identity was evident across races, there was an interesting exception. Black students, in general, had strong math identities, regardless of their teacher's actions.  Learning about the factors that affect student math identity is important because a student's attitude towards the subject influences the courses that they take as well as their future career selections. This study suggests that teachers may have a larger role to play in helping students develop a positive math identity than previously recognized.

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Researchers test cognitive abilities of the language model GPT-3.

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Octopus arms coordinate nearly infinite degrees of freedom to perform complex movements such as reaching, grasping, fetching, crawling, and swimming. How these animals achieve such a wide range of activities remains a source of mystery, amazement, and inspiration. Part of the challenge comes from the intricate organization and biomechanics of the internal muscles.

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Theoretical chemists have developed a theory that can predict the threshold at which quantum dynamics switches from 'orderly' to 'random,' as shown through research using large-scale computations on photosynthesis models.

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Researchers have created and preliminarily tested what they believe may be one of the first models for predicting who has the highest probability of being resistant to COVID-19 in spite of exposure to SARS-CoV-2, the virus that causes it.