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Relevant bibliographies by topics / Algebraic geometry – Computational aspects in algebraic geometry – Computational aspects in algebraic geometry / Journal articles

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Journal articles on the topic 'Algebraic geometry – Computational aspects in algebraic geometry – Computational aspects in algebraic geometry'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2025

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1

Palacios, Joe, and Ruth Cabanillas. "Computational methods in algebraic geometry." Selecciones Matemáticas 10, no. 02 (2023): 462–69. http://dx.doi.org/10.17268/sel.mat.2023.02.17.

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In this article we give a general description of the field of algebraic geometry and its computational aspects using Macaulay 2. In particular, we present an application to the bidimensional robotic arm of n spans for any natural n.

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Haziq Ahmad, Syafiq Khan, Zulhasif Tan, and Rayzal Hamid. "Invariants in Birational Mapping: An In-Depth and Comprehensive Guide to Their Properties, Applications, and Mathematical Significance." Fusion of Multidisciplinary Research, An International Journal 5, no. 1 (2024): 529–40. https://doi.org/10.63995/ukti6068.

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This research article provides a thorough exploration of invariants in birational mapping, focusing on their properties, applications, and mathematical significance in algebraic geometry. Birational mappings play a crucial role in connecting algebraic varieties through rational transformations while preserving fundamental geometric properties. The study of invariants under birational mappings elucidates essential aspects of variety structure and classification, offering insights into singularities and geometric invariance. The article covers foundational concepts of birational invariants, thei

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Risler, Jean-Jacques. "Some aspects of complexity in real algebraic geometry." Journal of Symbolic Computation 5, no. 1-2 (1988): 109–19. http://dx.doi.org/10.1016/s0747-7171(88)80007-5.

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Márquez-Corbella, Irene, Edgar Martínez-Moro, Ruud Pellikaan, and Diego Ruano. "Computational aspects of retrieving a representation of an algebraic geometry code." Journal of Symbolic Computation 64 (August 2014): 67–87. http://dx.doi.org/10.1016/j.jsc.2013.12.007.

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Chajda, Ivan, Helmut Länger, and Jan Paseka. "Algebraic Aspects of Relatively Pseudocomplemented Posets." Order 37, no. 1 (2019): 1–29. http://dx.doi.org/10.1007/s11083-019-09488-1.

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Bagchi, Susmit. "Analysis of Finite Solution Spaces of Second-Order ODE with Dirac Delta Periodic Forcing." Axioms 12, no. 1 (2023): 85. http://dx.doi.org/10.3390/axioms12010085.

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Second-order Ordinary Differential Equations (ODEs) with discontinuous forcing have numerous applications in engineering and computational sciences. The analysis of the solution spaces of non-homogeneous ODEs is difficult due to the complexities in multidimensional systems, with multiple discontinuous variables present in forcing functions. Numerical solutions are often prone to failures in the presence of discontinuities. Algebraic decompositions are employed for analysis in such cases, assuming that regularities exist, operators are present in Banach (solution) spaces, and there is finite me

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Morgensern, Jacques. "Invariant and geometric aspects of algebraic complexity theory I." Journal of Symbolic Computation 11, no. 5-6 (1991): 455–69. http://dx.doi.org/10.1016/s0747-7171(08)80115-0.

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Verma, Vivek Kumar, Bhavna Saini, Anju Yadav, and Pankaj Dadheech. "Exploring elliptic geometry in neural networks : The concept of elliptic neural networks (ENN)." Journal of Discrete Mathematical Sciences and Cryptography 27, no. 2 (2024): 501–12. http://dx.doi.org/10.47974/jdmsc-1906.

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The exploration of non-Euclidean geometries in the context of neural network architectures presents a novel avenue for enhancing the processing of complex data structures. This paper introduces the concept of Elliptic Neural Networks (ENN), a framework that integrates the intrinsic properties of elliptic geometry into the fabric of neural computation. Characterized by constant positive curvature and closed geodesic paths, elliptic geometry provides a unique perspective for representing data, especially advantageous for configurations exhibiting cyclic and dense hierarchical interconnections. W

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Гурьева, Я. Л., В. П. Ильин, and Д. В. Перевозкин. "Algebraic-geometric and information structures of domain decomposition methods." Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie), no. 2 (May 26, 2016): 132–46. http://dx.doi.org/10.26089/nummet.v17r213.

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Рассматриваются алгебраические, геометрические и информационные аспекты параллельных методов декомпозиции для решения больших систем линейных уравнений с разреженными матрицами, возникающими при аппроксимации многомерных краевых задач на неструктурированных сетках. Алгоритмы базируются на разбиении сеточной расчетной области на подобласти с параметризованной величиной пересечений и различными интерфейсными условиями на смежных границах. Рассматриваются вопросы, возникающие при алгебраической декомпозиции исходной матрицы. Применяются различные двухуровневые итерационные процессы, включающие в

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Ran, Zhi-Yong, and Bao-Gang Hu. "Parameter Identifiability in Statistical Machine Learning: A Review." Neural Computation 29, no. 5 (2017): 1151–203. http://dx.doi.org/10.1162/neco_a_00947.

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This review examines the relevance of parameter identifiability for statistical models used in machine learning. In addition to defining main concepts, we address several issues of identifiability closely related to machine learning, showing the advantages and disadvantages of state-of-the-art research and demonstrating recent progress. First, we review criteria for determining the parameter structure of models from the literature. This has three related issues: parameter identifiability, parameter redundancy, and reparameterization. Second, we review the deep influence of identifiability on v

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Kuhn, John. "A Combination of Algebraic and Geometric Methods for Interface Capturing in Free Surface Flow." Journal of Ship Research 51, no. 02 (2007): 104–27. http://dx.doi.org/10.5957/jsr.2007.51.2.104.

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Eulerian techniques for multiphase analysis of free surface flow use a phase fraction to track the volumetric amount of air and water in discrete computational cells. There is no explicit model for the free surface, but its location is implied by the phase fraction field. The effect of the free surface on the flow solution depends on a process known as interface capturing, which is used to solve an advection equation for the phase fraction. This equation can be solved using algebraic methods that are similar to those used for other advection problems, but numerical diffusion is a common diffic

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Bathe, Klaus-Jürgen. "What Can Go Wrong." Mechanical Engineering 120, no. 05 (1998): 63–65. http://dx.doi.org/10.1115/1.1998-may-2.

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This article focuses on some aspects of the reliability of finite-element methods and their accurate use. In order to illustrate, linear elastic solutions are considered and assumed that the algebraic finite-element equations are solved exactly. The mathematical model is based on assumptions made regarding the geometry, material conditions, loading, and displacement boundary conditions. The analysis problem is obtained by specifying the geometry and dimensions, support conditions, material constants, and loading. As a remedy in displacement-based finite-element methods, reduced integration is

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DeGennaro, Charles, Andrew McDonald, and Ashley Suchy. "An Algorithm for Detecting Sentence Validity." International Journal on Engineering, Science and Technology 6, no. 3 (2024): 226–35. http://dx.doi.org/10.46328/ijonest.208.

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In this paper, we introduce an algorithm for determining the grammatical validity of a sentence. We take a similar approach as in (Preller, 2007) and (Lambek, Type Grammar Revisited, 1999) (Lambek, From word to sentence: a computational algebraic approach to grammar, 2008) by encoding the English words based on word type which we call components. A sentence can be described both algebraically and geometrically. Our algorithm generates the geometric portion called underlinks from the generalized reductions of the algebraic portion. Underlinks uniquely determine the reduction of the components l

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Grazioso, Valerio, Carlo Scalo, Giuseppe de Felice, and Carlo Meola. "High Level Languages Implementation and Analysis of 3D Navier-Stokes Solvers." Advances in Applied Mathematics and Mechanics 3, no. 3 (2011): 370–88. http://dx.doi.org/10.4208/aamm.10-10s2-07.

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AbstractIn this work we introduce PRIN-3D (PRoto-code for Internal flows modeled by Navier-Stokes equations in 3-Dimensions), a new high level algebraic language (Matlab®) based code, by discussing some fundamental aspects regarding its basic solving kernel and by describing the design of an innovative advection scheme. The main focus was on designing a memory and computationally efficient code that, due to the typical conciseness of the Matlab coding language, could allow for fast and effective implementation of new models or algorithms. Innovative numerical methods are discussed in the paper

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Novi Inverardi, Pier Luigi, and Aldo Tagliani. "Probability Distributions Approximation via Fractional Moments and Maximum Entropy: Theoretical and Computational Aspects." Axioms 13, no. 1 (2023): 28. http://dx.doi.org/10.3390/axioms13010028.

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In the literature, the use of fractional moments to express the available information in the framework of maximum entropy (MaxEnt) approximation of a distribution F having finite or unbounded positive support, has been essentially considered as a computational tool to improve the performance of the analogous procedure based on integer moments. No attention has been paid to two formal aspects concerning fractional moments, such as conditions for the existence of the maximum entropy approximation based on them or convergence in entropy of this approximation to F. This paper aims to fill this gap

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Shiffman, Bernard, Shengnan Lyu, and Gregory S. Chirikjian. "Mathematical aspects of molecular replacement. V. Isolating feasible regions in motion spaces." Acta Crystallographica Section A Foundations and Advances 76, no. 2 (2020): 145–62. http://dx.doi.org/10.1107/s2053273319014797.

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This paper mathematically characterizes the tiny feasible regions within the vast 6D rotation–translation space in a full molecular replacement (MR) search. The capability to a priori isolate such regions is potentially important for enhancing robustness and efficiency in computational phasing in macromolecular crystallography (MX). The previous four papers in this series have concentrated on the properties of the full configuration space of rigid bodies that move relative to each other with crystallographic symmetry constraints. In particular, it was shown that the configuration space of inte

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Sala-Sebastià, Gemma, Adriana Breda, María José Seckel, Danyal Farsani, and Àngel Alsina. "Didactic–Mathematical–Computational Knowledge of Future Teachers When Solving and Designing Robotics Problems." Axioms 12, no. 2 (2023): 119. http://dx.doi.org/10.3390/axioms12020119.

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The social, scientific and technological development of recent years has encouraged the incorporation of computational thinking in the school curriculum of various countries progressively, starting from early childhood education. This research aims to characterize future kindergarten teachers’ traits of didactic-mathematical and computational knowledge presented when solving and posing robotics problems. Firstly, aspects of the mathematical and computational knowledge of the participants (97 students of the subject of Didactics of Mathematics of the Degree in Early Childhood Education at a Spa

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Lieck, Robert, Fabian Moss, and Martin Rohrmeier. "The Tonal Diffusion Model." Transactions of the International Society for Music Information Retrieval 3, no. 1 (2020): 153–64. https://doi.org/10.5334/tismir.46.

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<strong>Abstract</strong> Pitch-class distributions are of central relevance in music information retrieval, computational musicology and various other fields, such as music perception and cognition. However, despite their structure being closely related to the cognitively and musically relevant properties of a piece, many existing approaches treat pitch-class distributions as fixed templates. In this paper, we introduce the Tonal Diffusion Model, which provides a more structured and interpretable statistical model of pitch-class distributions by incorporating geometric and algebraic structure

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19

Molina-Samper, Beatriz. "Combinatorial aspects of classical resolution of singularities." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113, no. 4 (2018): 3931–48. http://dx.doi.org/10.1007/s13398-018-0583-z.

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Bolea, Speranta Cecilia, Mironela Pirnau, Silviu-Ioan Bejinariu, Vasile Apopei, Daniela Gifu, and Horia-Nicolai Teodorescu. "Some Properties of Zipf’s Law and Applications." Axioms 13, no. 3 (2024): 146. http://dx.doi.org/10.3390/axioms13030146.

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The article extends the theoretical and applicative analysis of Zipf’s law. We are concerned with a set of properties of Zipf’s law that derive directly from the power law expression and from the discrete nature of the objects to which the law is applied, when the objects are words, lemmas, and the like. We also search for variations of Zipf’s law that can help explain the noisy results empirically reported in the literature and the departures of the empirically obtained nonlinear graph from the theoretical linear one, with the variants analyzed differing from Mandelbrot and lognormal distribu

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Alnahdi, Abeer S., Ramsha Shafqat, Azmat Ullah Khan Niazi, and Mdi Begum Jeelani. "Pattern Formation Induced by Fuzzy Fractional-Order Model of COVID-19." Axioms 11, no. 7 (2022): 313. http://dx.doi.org/10.3390/axioms11070313.

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A novel coronavirus infection system is established for the analytical and computational aspects of this study, using a fuzzy fractional evolution equation (FFEE) stated in Caputo’s sense for order (1,2). It is constructed using the FFEE formulated in Caputo’s meaning. The model consist of six components illustrating the coronavirus outbreak, involving the susceptible people Kℓ(ω), the exposed population Lℓ(ω), total infected strength Cℓ(ω), asymptotically infected population Mℓ(ω), total number of humans recovered Eℓ(ω), and reservoir Qℓ(ω). Numerical results using the fuzzy Laplace approach

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Monteiro, Lucas Marques, and Felipe Pamplona Mariano. "Flow Modeling over Airfoils and Vertical Axis Wind Turbines Using Fourier Pseudo-Spectral Method and Coupled Immersed Boundary Method." Axioms 12, no. 2 (2023): 212. http://dx.doi.org/10.3390/axioms12020212.

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In the present work, verifying the applicability and potentiality of the IMERSPEC methodology for numerical and computational modeling of two-dimensional flows over airfoils and vertical axis wind turbines is proposed. It is a high-order convergence methodology with low computational cost when compared to other high-order methods, resulting from the coupling of the Fourier pseudo-spectral method and the immersed boundary method. To validate the proposed methodology, flow simulations are carried out over an airfoil NACA 0012 for a Reynolds number equal to 1000. From the spatial discretization p

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Kwari, Lydia J., Joshua Sunday, Joel N. Ndam, Ali Shokri, and Yuanheng Wang. "On the Simulations of Second-Order Oscillatory Problems with Applications to Physical Systems." Axioms 12, no. 3 (2023): 282. http://dx.doi.org/10.3390/axioms12030282.

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Second-order oscillatory problems have been found to be applicable in studying various phenomena in science and engineering; this is because these problems have the capabilities of replicating different aspects of the real world. In this research, a new hybrid method shall be formulated for the simulations of second-order oscillatory problems with applications to physical systems. The proposed method shall be formulated using the procedure of interpolation and collocation by adopting power series as basis function. In formulating the method, off-step points were introduced within the interval

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Cui, Yu. "Economic Benefit Evaluation Model of Urban Street Reconstruction Based on Parallel Multigrid Computing." Scientific Programming 2022 (February 18, 2022): 1–11. http://dx.doi.org/10.1155/2022/7848475.

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This study draws on the relevant experience of algebraic multigrid, which effectively deals with anisotropic matrices, transforms the geometric characteristics of unstructured grids into numerical relationships, distinguishes the degree of anisotropy of geometric grids through numerical values, and forms a strong-weak coupling relationship between elements. It is used to aggregate and generate coarse grid levels, which makes up for the defect that the cell-centric calculation format cannot effectively deal with high-ductility grids. In order to reduce the computational complexity of the coarse

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Of Algebraic Statistics, Journal. "Editorial Messages." Journal of Algebraic Statistics 1, no. 1 (2010). http://dx.doi.org/10.18409/jas.v1i1.3.

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Just as it has been continually happening in the world of mathematical sciences, the group of mathematical scientists led by (for example) Professor Eyup Cetin and his colleagues (who are responsible for the remarkably successful journal, The European Journal of Pure and Applied Mathematics ) have apparently broken the boundaries between pure and applied mathematics by establishing a new journal, the Journal of Algebraic Statistics . I am sure that both the mathematical as well as statistical communities at large will heartily welcome such an interesting and potentially useful addition to the

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Баженов, А. Н., and П. А. Затылкин. "Small angle reconstruction of plasma luminosity for spherical tokamak." Вычислительные технологии, no. 25 (March 10, 2020). http://dx.doi.org/10.25743/ict.2020.25.1.002.

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Публикация посвящена применению методов вычислительной геометрии, интервального анализа и линейного программирования к задачам физики управляемого термоядерного синтеза. Рассмотрены геометрические аспекты проблемы, получены проекции светимостей различных объемов сферического токамака на плоскость матричного детектора, изучены изображения предполагаемых макроскопических структур и микроскопических включений. Для набора модельных распределений светимости объема токамака поставлена задача восстановления сигнала. Решение получено с использованием задач линейного программирования. The problems of r

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Баженов, А. Н., and П. А. Затылкин. "Small angle reconstruction of plasma luminosity for spherical tokamak." Вычислительные технологии, no. 25 (March 10, 2020). http://dx.doi.org/10.25743/ict.2020.25.1.002.

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Публикация посвящена применению методов вычислительной геометрии, интервального анализа и линейного программирования к задачам физики управляемого термоядерного синтеза. Рассмотрены геометрические аспекты проблемы, получены проекции светимостей различных объемов сферического токамака на плоскость матричного детектора, изучены изображения предполагаемых макроскопических структур и микроскопических включений. Для набора модельных распределений светимости объема токамака поставлена задача восстановления сигнала. Решение получено с использованием задач линейного программирования. The problems of r

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Mueller, Andreas, and Zijia Li. "Identification of Real and Complex Solution Varieties and their Singularities defined by Loop Constraints of Linkages using the Kinematic Tangent Cone." Journal of Mechanisms and Robotics, January 24, 2024, 1–8. http://dx.doi.org/10.1115/1.4064575.

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Abstract The configuration space (c-space) of a mechanism is the real solution variety of a set of loop closure constraints, which is therefore the chief object in kinematic analysis. Singularities of this variety (referred to as c-space singularities) are singular configurations of the mechanism. In addition, a mechanism may exhibit other kinematic singularities that are not visible from the differential geometry of the c-space (referred to as hidden singularities). The latter are manifested by a drop of rank of the constraint Jacobian while the c-space is locally a smooth manifold. Another k

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Dechant, Pierre-Philippe. "Clifford Spinors and Root System Induction: $$H_4$$ and the Grand Antiprism." Advances in Applied Clifford Algebras 31, no. 3 (2021). http://dx.doi.org/10.1007/s00006-021-01139-2.

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AbstractRecent work has shown that every 3D root system allows the construction of a corresponding 4D root system via an ‘induction theorem’. In this paper, we look at the icosahedral case of $$H_3\rightarrow H_4$$ H 3 → H 4 in detail and perform the calculations explicitly. Clifford algebra is used to perform group theoretic calculations based on the versor theorem and the Cartan–Dieudonné theorem, giving a simple construction of the $${\mathrm {Pin}}$$ Pin and $${\mathrm {Spin}}$$ Spin covers. Using this connection with $$H_3$$ H 3 via the induction theorem sheds light on geometric aspects o

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Lai, Tri. "New Aspects of Regions whose Tilings are Enumerated by Perfect Powers." Electronic Journal of Combinatorics 20, no. 4 (2013). http://dx.doi.org/10.37236/3186.

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In 2003, Ciucu presented a unified way to enumerate tilings of lattice regions by using a certain Reduction Theorem (J. Algebraic Combin., 2003). In this paper we continue this line of work by investigating new families of lattice regions whose tilings are enumerated by perfect powers or products of several perfect powers. We prove a multi-parameter generalization of Bo-Yin Yang's theorem on fortresses (Ph.D. thesis, MIT, 1991). On the square lattice with zigzag paths, we consider two particular families of regions whose numbers of tilings are always a power of 3 or twice a power of 3. The lat

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Nourian, Pirouz, Shervin Azadi, Nan Bai, et al. "EquiCity game: a mathematical serious game for participatory design of spatial configurations." Scientific Reports 14, no. 1 (2024). http://dx.doi.org/10.1038/s41598-024-61093-4.

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AbstractWe propose a mathematical framework for developing social-choice games that are designed to mediate decision-making processes for city planning, urban area redevelopment, and architectural configuration of urban housing complexes. The proposed framework features a digital serious gaming approach for participatory design to support transparency and inclusion in the process of decision-making and ensure an equitable balance of sustainable development goals in spatial design outcomes. The mathematical process consists of a Markovian design machine for balancing the design decisions of act

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Kluck, Timo, and Ana Ros Camacho. "Computational aspects of orbifold equivalence." Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, February 24, 2024. http://dx.doi.org/10.1007/s13366-024-00731-4.

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AbstractIn this paper we study the computational feasibility of an algorithm to prove orbifold equivalence between potentials describing Landau–Ginzburg models. Through a comparison with state-of-the-art results of Gröbner basis computations in cryptology, we infer that the algorithm produces systems of equations that are beyond the limits of current technical capabilities. As such the algorithm needs to be augmented by ‘inspired guesswork’, and we provide examples of applying this approach.

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Kreuzer, Martin, and Dilip P. Patil. "Computational aspects of Burnside rings part II: important maps." Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, August 26, 2020. http://dx.doi.org/10.1007/s13366-020-00520-9.

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Shams, Maria, Alaa O. Almagrabi, and Saleem Abdullah. "Emergency shelter materials under a complex non-linear diophantine fuzzy decision support system." Complex & Intelligent Systems, July 12, 2023. http://dx.doi.org/10.1007/s40747-023-01122-3.

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AbstractThe distribution of emergency shelter materials in emergency cases around the world is a hard task, the goal of this research is to offer a Complex Non-linear Diophantine Fuzzy (C-NLDF) decision-making model for earthquake shelter construction. Essentially, the article is divided into three sections to acquire acceptable and precise measures in emergency decision-making situations. First, we present the Complex Non-Linear Diophantine Fuzzy Set (CN-LDFS), a new generalization of the complex linear Diophantine fuzzy set (CLDFS) and q-linear Diophantine fuzzy set (q-LDFS), as well as expl

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Lieck, Robert, Fabian C. Moss, and Martin Rohrmeier. "The Tonal Diffusion Model." October 16, 2020. https://doi.org/10.5281/zenodo.4694164.

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Pitch-class distributions are of central relevance in music information retrieval, computational musicology and various other fields, such as music perception and cognition. However, despite their structure being closely related to the cognitively and musically relevant properties of a piece, many existing approaches treat pitch-class distributions as fixed templates. In this paper, we introduce the Tonal Diffusion Model, which provides a more structured and interpretable statistical model of pitch-class distributions by incorporating geometric and algebraic structures known from music theory

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Defant, Andreas, and Mieczysław Mastyło. "Aspects of the Kahane–Salem–Zygmund inequalities in Banach spaces." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117, no. 1 (2022). http://dx.doi.org/10.1007/s13398-022-01369-4.

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AbstractThe main aim of this work is to discuss several different approaches to the celebrated Kahane–Salem–Zygmund inequalities. In particular, we prove estimates for exponential Orlicz norms of averages $$\sup _{1\le j\le N}\Big |\sum _{i=1}^K a_i(j) \gamma _i\Big |\,,$$ sup 1 ≤ j ≤ N | ∑ i = 1 K a i ( j ) γ i | , where $$ (a_i(j)) \in \ell _\infty ^N, \, 1 \le i \le K$$ ( a i ( j ) ) ∈ ℓ ∞ N , 1 ≤ i ≤ K and the $$(\gamma _i)$$ ( γ i ) form a sequence of real or complex subgaussian random variables. Lifting these inequalities to finite dimensional Banach spaces, we get some new Kahane–Salem–

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Moslehian, M. S., G. A. Muñoz-Fernández, A. M. Peralta, and J. B. Seoane-Sepúlveda. "Similarities and differences between real and complex Banach spaces: an overview and recent developments." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 116, no. 2 (2022). http://dx.doi.org/10.1007/s13398-022-01222-8.

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AbstractThere are numerous cases of discrepancies between results obtained in the setting of real Banach spaces and those obtained in the complex context. This article is a modern exposition of the subtle differences between key results and theories for complex and real Banach spaces and the corresponding linear operators between them. We deeply discuss some aspects of the complexification of real Banach spaces and give several examples showing how drastically different can be the behavior of real Banach spaces versus their complex counterparts.

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Djaa, Nour El Houda, Lokman Bilen, and Aydın Gezer. "Harmonic maps on the tangent bundle according to the ciconia metric." Hacettepe Journal of Mathematics and Statistics, April 14, 2024, 1–15. http://dx.doi.org/10.15672/hujms.1343052.

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The focus of this paper revolves around investigating the harmonicity aspects of various mappings. Firstly, we explore the harmonicity of the canonical projection  π : TM → M, where M denotes a Riemannian manifold and TM its associated tangent bundle. Additionally, we delve into the harmonicity of vector fields ξ ∈ χ (M) , treated as mappings from M to TM. Moreover, our exploration extends to situations such as the case involving the map π : (TM, ˜g) → (M2n, J, g), where (M2n, J, g) represents an anti-paraKähler manifold and (TM, ˜g) its tangent bundle with the ciconia metric. In this co

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Radotina Tony, Andrianaivo, Rakotoarivelo Joe Andry, Ramarokoto Mijoro, Ratovondrainy Willy, Rabarijaona Mamiarisoa, and Andriamamonjy Clément. "EPIDEMIOLOGICAL, THERAPEUTIC AND EVOLUTION ASPECTS OF HYDROCEPHALUS IN CHILDREN IN MADAGASCAR." PARIPEX INDIAN JOURNAL OF RESEARCH, May 15, 2022, 48–50. http://dx.doi.org/10.36106/paripex/6105397.

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Hydrocephalus is a disorder of the hydrodynamics of the CSF resulting in an increase in the volume of CSF in the cranial cavity. Hydrocephalus is frequent in Madagascar. We conducted a multicenter and retrospective study of operated hydrocephalic children in 3 neurosurgical departments in Madagascar over a 3-year period. We report 71 cases of hydrocephalus in operated children. Infants predominated in 90.1% of cases. Postmeningeal etiology was found in 42.3%. Ventriculo-peritoneal shunting was undertaken in 92.9% of cases. After the operation, the evolution was favourable in 84.5% of cases. Co

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El-Gamal, Fathi, Amira Mohammed, Assmaa Shaker, Noor Aljohani, and Yara Alasli. "Acceptance of a COVID-19 vaccine and its related determinants among the general adult population in Jeddah, Saudi Arabia." World Family Medicine Journal /Middle East Journal of Family Medicine 20, no. 8 (2022). http://dx.doi.org/10.5742/mewfm.2022.9525120.

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Background: Coronavirus disease 2019 (COVID-19) is a global pandemic caused by a highly infectious respiratory virus (SARS-CoV-2). With all the consequences that threaten the health of the individual and society due to this infection, it has become necessary to have a vaccination that limits the spread of this virus. Objectives: To assess the acceptance of COVID-19 vaccines in Saudi Arabians and to uncover the barriers associated with vaccination. Method: This was a cross-sectional study of 518 subjects, who gave their responses through an online Google form. Data were analyzed using SPSS soft

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Sartori, Andrea, and Igor Wigman. "The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index." Forum of Mathematics, Sigma 11 (2023). http://dx.doi.org/10.1017/fms.2023.74.

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Abstract The asymptotic law for the expected nodal volume of random non-Gaussian monochromatic band-limited functions is determined in vast generality. Our methods combine microlocal analytic techniques and modern probability theory. A particularly challenging obstacle that we need to overcome is the possible concentration of nodal volume on a small portion of the manifold, requiring solutions in both disciplines and, in particular, the study of the distribution of the doubling index of random band-limited functions. As for the fine aspects of the distribution of the nodal volume, such as its

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Emmerson, Parker. "Conditional Integral of Phenomenological Velocity." October 21, 2024. https://doi.org/10.5281/zenodo.13959848.

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Published with great Thanksgiving to Jesus. Described herein is a method whereby which one can integrate conditionally the variance of phenomenological velocity, a product of technical differences between the expression of factoring square root functions present within height functions of difference between varying geometric forms. Indeed, this is a true proof, because it requires the exterior trigonometric identity to be brought into the equation, thus making the cancellation non-tautological.   Higher - dimensional calculus and integral transformation play crucial roles in advancing our

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