Category: 7. Maths
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Eight from MIT elected to American Academy of Arts and Sciences for 2023 | MIT News
Eight MIT faculty members are among more than 250 leaders from academia, the arts, industry, public policy, and research elected to the American Academy of Arts and Sciences, the academy announced April 19. One of the nation’s most prestigious honorary societies, the academy is also a leading center for independent policy research. Members contribute to…
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Expert reveals the fascinating link between math and card shuffling
Credit: Unsplash/CC0 Public Domain Mathematics sometimes impacts our lives in seemingly unsuspecting ways, including card shuffling. Math can answer the age-old question of how many times a deck of cards needs to be shuffled to ensure the cards are thoroughly mixed. It can even reveal the best method for dealing cards. Jason Fulman, professor of…
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Anthropologist pair solve the mystery of Mayan 819-day count
Credit: Pixabay/CC0 Public Domain A pair of anthropologists at Tulane University has solved the mystery of the Mayan 819-day count, a type of ancient Mesoamerican calendar system. In their paper published in the journal Ancient Mesoamerica, John Linden and Victoria Bricker suggest that the calendar might be representing a much longer timescale than others had…
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Deep transfer learning strategy for efficient domain generalisation in machine fault diagnosis
Bajic, B., Rikalovic, A., Suzic, N. & Piuri, V. Industry 4.0 implementation challenges and opportunities: A managerial perspective. IEEE Syst. J. 15, 546–559 (2020). Article ADS Google Scholar Randall, R. B. Vibration-Based Condition Monitoring: Industrial, Automotive and Aerospace Applications (Wiley, 2021). Book Google Scholar Xue, S. & Howard, I. Torsional vibration signal analysis as a…
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Super-resolution of X-ray CT images of rock samples by sparse representation: applications to the complex texture of serpentinite
Serpentinized dunite of Oman ophiolite In this study, we perform super-resolution of X-ray CT images for serpentinized dunite within the crust-mantle transition zone of the Oman ophiolite, which were suffered from the various stages of hydrothermal alteration. The Oman ophiolite is the best exposed section of oceanic lithosphere, and is located at the southearstern margin…
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A ready-to-use machine learning tool for symmetric multi-modality registration of brain MRI
Preliminaries Pair-wise registration involves two images: fixed (also known as reference or target) and moving (also know as floating or source). The goal is to find a geometric transform that maximizes the similarity of the fixed image and the deformed moving image. The transform is usually parameterized by a vector of parameters \(\varvec{p}\), and registration…
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Relationship between free-time physical activity and sleep quality in Brazilian university students
Design, population and study location This is a cross-sectional study, part of a project conducted at a public university in Brazil. All university students aged ≥ 18 years who regularly enrolled during the collection period were invited. During the study period, the university had 12,462 undergraduates distributed across nine study centers and 50 undergraduate courses. The following inclusion…
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Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system
In this section, the stability and bifurcation of equilibria of system (2) are studied by aid of the center manifold theorem, Routh-Hurwitz criterion, the theory of pitchfork bifurcation and Hopf bifurcation, Lyapunov function and so on. Firstly, from the algebraic structure of system (2), one easily presents the distribution of equilibrium points in the following…
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Fermatean hesitant fuzzy rough aggregation operators and their applications in multiple criteria group decision-making
In this section, we establish the concept of FHFR aggregation operators by combining the idea of rough sets and FHF aggregation operators. Further we obtain aggregation notions for FHFRWA, FHFROWA, and FHFRHWA. Several fundamental characteristics of these notions are highlighted. The Fermatean hesitant fuzzy rough weighted averaging operator Definition 3.1 Consider the collection \(\eth (\gimel…
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Improving image labelling quality | Nature Machine Intelligence
Feng, R. et al. IEEE Trans. Med. Imaging 40, 2575–2588 (2021). Article Google Scholar Tan, J. et al. Med. Image Comput. Comput. Assist. Interv. (eds de Bruijne, M. et al.) 581–591 (2021). Rädsch, T. et al. Nat. Mach. Intell. https://doi.org/10.1038/s42256-023-00625-5 (2023). Kristiansen, T. B., Kristensen, K., Uffelmann, J. & Brandslund, I. Front. Digit. Heal. https://doi.org/10.3389/fdgth.2022.862095…