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Categories: Mathematics: General, Mathematics: Puzzles

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Making history with 42 digits: Scientists have unlocked a decades-old mystery of mathematics with the so-called ninth Dedekind number. Experts worldwide have been searching for the value since 1991. Scientists arrived at the exact sequence of numbers with the help of the Noctua supercomputer.

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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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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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Large numbers can only be factorized with a great deal of computational effort. Physicists are now providing a blueprint for a new type of quantum computer to solve the factorization problem, which is a cornerstone of modern cryptography.

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The way our senses adjust while playing high-intensity virtual reality games plays a critical role in understanding why some people experience severe cybersickness and others don't.

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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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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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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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Existing color systems, such as RGB and CYMK, are all text-based and require a large range of values to represent different colors, making them difficult to compute and time-consuming to convert. Recently, researchers made a breakthrough by inventing an innovative color system, called 'C235', based on prime numbers, enabling efficient encoding and effective color compression. It can unify existing color systems and has the potential to be applied in various applications, like designing an energy-saving LCD system and colorizing DNA codons.

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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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Using artificial intelligence (AI), researchers can now follow cell movement across time and space. The method could be very helpful for developing more effective cancer medications.

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A new study finds that a 200-year-old technique called Fourier analysis can reveal crucial information about how the form of artificial intelligence called deep neural networks (DNN) learn to perform tasks involving complex physics. Researchers discovered the technique can directly connect what a DNN has learned to the physics of the complex system the DNN is modeling.

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In a new approach to security that unites technology and art, E researchers have combined silver nanostructures with polarized light to yield a range of brilliant colors, which can be used to encode messages.