Category: 7. Maths
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DeepMind AI outdoes human mathematicians on unsolved problem
In the game Set, players must identify combinations of cards based on the shape, colour, shading and number of symbols.Credit: Valery Voennyy/Alamy The card game Set has long inspired mathematicians to create interesting problems. Now, a technique based on large language models (LLMs) is showing that artificial intelligence (AI) can help mathematicians to generate new…
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UAV path planning based on third-party risk modeling
To solve the problem of risk-based drone path planning, this article establishes a UAV path planning model that contains obstacle risk, death risk, and property loss risk. We also propose a new A* algorithm named Min-cost A* algorithm. Finally, we improve the Floyd algorithm and use it to smooth the path. UAV path-planning model based…
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Machine learning and topological data analysis identify unique features of human papillae in 3D scans
Miller, I. J. Jr. & Reedy, F. E. Jr. Variations in human taste bud density and taste intensity perception. Physiol. Behav. 47, 1213–1219 (1990). Article PubMed Google Scholar Lauga, E., Pipe, C. J. & Le Révérend, B. Sensing in the mouth: A model for filiform papillae as strain amplifiers. Front. Phys. 4, 35 (2016). Article …
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Energy transmission through radiative ternary nanofluid flow with exponential heat source/sink across an inclined permeable cylinder/plate: numerical computing
The steady laminar 2D ternary nanoliquid flow across an inclined permeable cylinder/plate is considered under the consequences of heat source/sink, permeable medium and mixed convection in the present study. For the preparation of TNF, the MgO, CoFe2O4 and TiO2 are dispersed in water. The flow coordinates and physical view is shown in Fig. 1a,b. Here, \(x\)…
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High monoclonal neutralization titers reduced breakthrough HIV-1 viral loads in the Antibody Mediated Prevention trials
Comparing viral loads by treatment and VRC01 sensitivity of acquired viruses To assess post-acquisition viral loads, we analyzed 608 viral load observations without ART from the 162 of 174 AMP participants who acquired HIV whose acquired viruses were tested for VRC01 neutralization sensitivity by the TZM-bl assay34,35,36. Approximately 70% of participants had 3 or more…
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Optimizing time, cost, and carbon in construction: grasshopper algorithm empowered with tournament selection and opposition-based learning
This section is dedicated to introducing the proposed model, known as the eMOGOA, which amalgamates the MOGOA with the TS and OBL mechanisms. To facilitate a comprehensive understanding of this model, the indices, parameters, and decision-making variables are first defined. These elements are fundamental to the decision-making process within the eMOGOA framework and are detailed…
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An environmental analysis of public UAP sightings and sky view potential
Public UAP sighting report data This research uses data from the National UFO Reporting Center (NUFORC) online 31. NUFORC was formed in 1974 and “the Center’s primary function over the past four decades has been to receive, record, and to the greatest degree possible, corroborate and document reports from individuals who have been witness to…
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Altitude measurement method of VHF radar based on spatial smoothing of correlation matrix
Figure 3 shows the schematic diagram of the forward and backward spatial smoothing (FBSS) algorithm. The principle of the forward smoothing algorithm is as follows. Divide the \(N\) uniform linear arrays into the \(P\) subarrays, where the adjacent subarrays are misaligned by one element. If the number of the elements of each subarray is \(M\), then…
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Impacts of entropy generation in second-grade fuzzy hybrid nanofluids on exponentially permeable stretching/shrinking surface
This study takes into account the time-dependent, 2D incompressible flow of MHD viscoelastic (Second-grade) hybrid \({\text{Al}}_{{2}} {\text{O}}_{{3}} + {\text{Cu/SA}}\) nanofluid over the exponentially shrinking/stretching surface, as shown in Fig. 1. \(u_{w} \left( {x,\,t} \right) = \lambda e^{{{x \mathord{\left/ {\vphantom {x L}} \right. \kern-0pt} L}}} \left( {a/\left( {1 – ct} \right)} \right)\) signifies the stretching/shrinking velocity, where…
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Explainable machine learning identifies multi-omics signatures of muscle response to spaceflight in mice
Multi-omics biomarkers associated with spaceflight calcium reuptake aberrations are revealed by machine learning regression analysis Exposure to spaceflight has been previously reported to increase Ca2+ uptake in mouse TA muscles and decrease Ca2+ uptake in mouse SOL muscles1. We hypothesized that this phenotypic change can be further understood by examining the relationships between genes, proteins,…