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3rd IEEE International Conference on Electrical Engineering, Big Data and algorithms, EEBDA 2024

作者： Chen, Haozhe Mao, Yufan Wang, Yixu Nanjing University of Aeronautics and Astronautics Nanjing China

ISBN: (纸本)9798350380989

The planning of exploration route and the selection of strip width have an important influence on marine survey and play a vital role in the efficiency of multi-beam sounding. This article establishes a single ß Calculate the coverage width and overlap rate between adjacent bands of a multi beam bathymetric system using a three-dimensional model of angles. Based on Dxa as well as ? Calculate the coverage width using the formula Dx=70-xtana to calculate the depth of seawater, ?=1-d(wi-1+wi)/2 to calculate coverage. Calculate the coverage width at AAA to be 242.98696m, including other seawater depths, coverage widths, and overlap rates, derive the coverage width W and the angle between the opening angle, slope a, and line direction of the multi beam transducer using a three-dimensional geometric model ß the relationship between the distance x between the ship and the center point of the sea area w= f(?,aß,x) Just bring in the provided data for calculation. Firstly, Dy is introduced as the height difference between the intersection points of the detection beam and the seabed slope, and FFF is represented as the difference between the depth Dy and at the center point of the sea area. Next, by converting the angle within the plane, the angle between the straight line where the driving direction is located and the normal direction of the seabed slope projected on the horizontal plane can be calculated. Furthermore, by comparing this angle with the angle a the trigonometric function relationship can be used to determine the relationship between Dy and ß, the expression can be used to obtain the corresponding relationship solution. © 2024 IEEE.

关键词： Affine transformation Elbow rule gaussian algorithm Multiple logistic regression

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Evaluation of diagnostic accuracy: multidetector CT image noise correction improves specificity of a gaussian model-based algorithm used for characterization of incidental adrenal nodules

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ABDOMINAL RADIOLOGY 2019年第3期44卷 1033-1043页

作者： Clark, Toshimasa J. Hsu, Larson D. Hippe, Daniel Cowan, Sophie Carnell, Jonathan Wang, Carolyn L. Univ Colorado Denver Dept Radiol Abdominal Imaging Div Anschutz Med Campus12401 E 17th Ave Aurora CO 80045 USA Roswell Pk Canc Inst Dept Radiol Body Imaging Sect Elm & Carlton St Buffalo NY 14263 USA Univ Washington Dept Radiol Body Imaging Sect Box 358081825 Eastlake Ave EG2-600 Seattle WA 98109 USA

ObjectivesTo investigate whether the histogram analysis method of characterizing adrenal nodules as adenomas is affected by increased noise with modern CT technique, and if an extension that allows for noise correction will improve diagnostic *** and methodsThis is a HIPAA-compliant, IRB-approved retrospective study performed on 58 total patients. The first group of 29 patients had 33 adrenal lesions that were pathology-proven non-adenomas. The second group had 29 patients with 33 pathology-proven or presumed adenomas based on established imaging criteria. The nodules were evaluated using the histogram method, mean attenuation method, and a gaussian model-based algorithm without (uncorrected gaussian algorithm) and with correction (corrected gaussian algorithm) for image noise. Sensitivity, specificity, and accuracy for identifying adenoma were *** were no significant differences in identifying adenoma from non-adenoma when using the histogram analysis method and the uncorrected gaussian algorithm, both of which had low specificities of 42.4% and 47.0%, respectively (p=0.30). Adding noise correction to the gaussian algorithm resulted in a statistically significant increase in specificity relative to the histogram method (86.4% vs. 42.4%, p<0.001). The corrected gaussian algorithm improved sensitivity compared to the mean attenuation method (71.2% vs. 54.5%, p<0.001), but had lower specificity (86.4% vs. 100%, p<0.001), and similar overall accuracy (78.8% vs. 77.3%, p=0.74).ConclusionWith modern low-dose CT technique, the specificity scores of the histogram method for discrimination of adrenal adenomas and non-adenomas are lower than with previous higher dose scans. The specificity and accuracy of a histogram-equivalent method can be increased mathematically through image noise correction, and the corrected gaussian algorithm has improved sensitivity to the mean attenuation with similar accuracy albeit with lower specificity. Althou

关键词： Adrenal nodule Adrenal adenoma Histogram analysis gaussian algorithm Noise correction

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Families of quasigroup operations satisfying the generalized distributive law

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DISCRETE MATHEMATICS AND APPLICATIONS 2020年第3期30卷 187-202页

作者： Polin, Sergey V. Acad Cryptog Russian Federat Moscow Russia

The previous paper was concerned with systems of equations over a certain family S of quasigroups. In that work a method of elimination of an outermost variable from the system of equations was suggested and it was shown that further elimination of variables requires that the family S of quasigroups satisfy the generalized distributive law (GDL). In this paper we describe families S that satisfy GDL. The results are applied to construct classes of easily solvable systems of equations.

关键词： systems of equations gaussian algorithm quasigroups generalized distributive law

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A comparative analysis of forecasting algorithms for predicting municipal solid waste generation in Chittagong City

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INTERNATIONAL JOURNAL OF ENVIRONMENTAL SCIENCE AND TECHNOLOGY 2025年

作者： Alam, S. Rokonuzzaman, Md. Rahman, K. S. Tan, W. S. Premier Univ Dept Elect & Elect Engn Chittagong 4203 Bangladesh Monash Univ Malaysia Sch Engn & Adv Engn Platform Jalan Lagoon Selatan Subang Jaya 47500 Malaysia Univ Kebangsaan Malaysia Solar Energy Res Inst Bangi 43600 Selangor Malaysia Monash Univ Malaysia Ctr Net Zero Technol Jalan Lagoon Selatan Subang Jaya 47500 Malaysia King Fahd Univ Petr & Minerals KFUPM Interdisciplinary Res Ctr Sustainable Energy Syst Dhahran 31261 Saudi Arabia

Implementing sustainable solid waste management strategies depends on accurately predicting municipal solid waste (MSW). This study forecasts Chittagong City's waste production using the well-known Multilayer Perceptron (MLP), Support Vector Machine (SVM), and gaussian algorithm (GA). The model performance is evaluated based on Mean Absolute Percentage Error (MAPE), Root Mean Squared Error (RMSE), and Mean Absolute Error (MAE). Among these, the MLP algorithm demonstrates the highest accuracy in predicting future MSW generation. Waste compositions such as food, fabric, plastic, paper, and wood are also forecasted. Results indicate that by 2030, Chittagong will generate approximately 2,780 tons per day (TPD) of MSW, requiring 247.5 m2 of landfill space and emitting 51,183.57 tons of greenhouse gases (GHG) under the current waste management practices. This forecast supports decision-makers in modifying and updating waste management systems to achieve sustainability goals, highlighting the practical benefits of accurate predictions in resource optimization, environmental impact mitigation, and long-term planning.

关键词： Municipal solid waste Support vector machine gaussian algorithm Multilayer perceptron Greenhouse gas emission

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Elementary transformations of systems of equations over quasigroups and generalized identities

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DISCRETE MATHEMATICS AND APPLICATIONS 2019年第6期29卷 383-399页

作者： Polin, Sergey V. Acad Cryptog Russian Federat Moscow Russia

The paper is devoted to the study of equations with the left-hand side having the form of a composition of operations which belong to given sets S-1,...,S-n,... of quasigroup operations. Elementary transformations are described which allow reducing systems of this kind to the form where all equations except one do not depend essentially on the variable x(n). A class of systems is said to be gaussian if every system obtained via such transformations also belongs to this class. It is evident that for gaussian classes of systems of equations there is an efficient solving algorithm. This motivates the problem of finding conditions under which the class is gaussian. In this work it is shown that for a class of systems to be gaussian the operations in the sets S-i. should satisfy the generalized distributivity law. Sets of operations obeying this condition are to be investigated in the future.

关键词： systems of equations quasigroups gaussian algorithm generalized law of distributivity

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NEW CRITERIA FOR THE FEASIBILITY OF THE CHOLESKY METHOD WITH INTERVAL DATA

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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 2008年第4期30卷 1392-1405页

作者： Alefeld, G. Mayer, G. Univ Karlsruhe Inst Angew & Numer Math KIT D-76128 Karlsruhe Germany Univ Rostock Inst Math D-18051 Rostock Germany

We present some new criteria for the feasibility of the interval Cholesky method. In particular, we relate this feasibility to that of the interval gaussian algorithm.

关键词： linear interval equations Cholesky method interval Cholesky algorithm gaussian algorithm interval gaussian algorithm linear system of equations criteria of feasibility

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Ruelle-Mayer operators related to the gaussian algorithm

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UPB Scientific Bulletin, Series A: Applied Mathematics and Physics 2001年第1期63卷 29-39页

作者： Sebe, Gabriela Ileana Dept. of Mathematics I University Politehnica of Bucharest

This paper investigates the main properties of functional operators - transfer operators- due to Ruelle [1] and Mayer [2]. Such operators permit to generate continuants and, at the same time, their spectral properties... 详细信息

关键词： Euclidean algorithm gaussian algorithm Ruelle-mayer operators

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A 3-dimensional lattice reduction algorithm 1

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International Conference on Cryptography and Lattices

作者： Semaev, I Moscow MV Lomonosov State Univ Lab Math Problems Cryptol Moscow 119899 Russia

ISBN: (数字)9783540446705

ISBN: (纸本)3540424881

The aim of this paper is a reduction algorithm for a basis b(1), b(2), b(3) of a 3-dimensional lattice in R-n for fixed n greater than or equal to 3. We give a definition of the reduced basis which is equivalent to that of the Minkowski reduced basis of a 3-dimensional lattice. We prove that for b(1), b(2), b(3) epsilon Z(n), n greater than or equal to 3 and \b(1)\, \b(2)\, \b(3)\ less than or equal to M, our algorithm takes O(log(2) M) binary operations, without using fast integer arithmetic, to reduce this basis and so to find the shortest vector in the lattice. The definition and the algorithm can be extended to any dimension. Elementary steps of our algorithm axe rather different from those of the LLL-algorithm, which works in O(log(3) M) binary operations without using fast integer arithmetic.

关键词： 3-dimensional lattice lattice reduction problem shortest vector in a lattice gaussian algorithm LLL-algorithm

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A NEW CRITERION TO GUARANTEE THE FEASIBILITY OF THE INTERVAL gaussian algorithm

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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1993年第2期14卷 408-419页

作者： FROMMER, A MAYER, G BERG UNIV GESAMTHSCH WUPPERTAL GH WUPPERTAL FACHBEREICH MATH GAUSSSTR 20 W-5600 WUPPERTAL GERMANY

The main subject of this paper is the interval gaussian algorithm, which produces an interval vector [x]G analogously to its well-known counterpart in classical numerical analysis. Criteria are derived to guarantee the existence of [x]G if the n X n inter-val matrix [A] is degenerate to a point matrix or if its comparison matrix [[A]] is irreducible and diagonally dominant. While in the first case all classical criteria of feasibility apply, the second case yields to a criterion which seems to be new. A way to construct matrices such that [X]G does not exist, although it does for each matrix A is-an-element-of [A], is also indicated.

关键词： LINEAR INTERVAL EQUATIONS gaussian algorithm INTERVAL gaussian algorithm LINEAR SYSTEMS OF EQUATIONS CRITERIA OF FEASIBILITY

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