Category: 7. Maths
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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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An ensemble-based deep learning model for detection of mutation causing cutaneous melanoma
This section includes all the step-by-step process of getting material (datasets) and processing it using different machine learning algorithms to identify melanomas. In the following sections testing methods of algorithms are explained thoroughly. Benchmark dataset collection The datasets are the most critical part of the research. These datasets are used for training the model, testing,…
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Optimum rescheduling of water networks for batch processes using a goal programming technique
To get the best rescheduling scheme by goal programming, a multi-objective function model is introduced. This model aims to achieve multiple objectives, including minimizing freshwater requirements, minimizing wastewater discharge, optimizing the number of tanks, and minimizing the degree of stream shifting, through goal programming to obtain the best rescheduling scheme. The proposed approach comprises three…
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Mathematical discoveries from program search with large language models
Large Language Models (LLMs) have demonstrated tremendous capabilities in solving complex tasks, from quantitative reasoning to understanding natural language. However, LLMs sometimes suffer from confabulations (or hallucinations) which can result in them making plausible but incorrect statements [1,2]. This hinders the use of current large models in scientific discovery. Here we introduce FunSearch (short for…
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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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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,…