Bernstein Collocation Method for Solving MHD Jeffery–Hamel Blood Flow Problem with Error Estimations by Ahmad Sami Bataineh, Osman Rasit Isik, Ishak Hashim

“…By using the Bernstein collocation method, the problem is transformed into a nonlinear system of algebraic equations. The residual correction procedure is used to estimate the error; it is simple to use and can be used even when the exact solution is unknown. …”
Get full text

STRESSES IN COMPOSITE PLATES WITH RIVETED BARS USED FOR AIRCRAFT CONSTRUCTION by Marta MAKSYMOVYCH, Maciej DUTKIEWICZ, Olesia MAKSYMOVYCH

“…Integral equations were solved numerically and reduced to a system of algebraic equations. To obtain the forces and moments acting on the rivets, the equations of equilibrium of the rivets and the conditions that ensure the same displacements between the rivets in the plate and in the rods are added to these equations. …”
Get full text

Evolutionary distributions in adaptive space by Yosef Cohen

“…Also, with ED, the dynamics of population genetics may be reduced to an algebraic problem. Finally, extensions to the theory are proposed.…”
Get full text

Research on a High Precision Reservoir Flood Regulating Calculation Based on Solving Integral Equation by ZHOU Bin

“…With flood regulating ordinary integral equation and differential equation, cubic Hermite polynomial is constructed to fit the outflow process, outflow volume is calculated by Simpson integral method, and a new reservoir flood regulating integral equation can be constructed, through which the calculation result of outflow volume can reach cubic algebraic precision. The new reservoir flood regulating integral equation and its error transfer equation add the influence term of cubic Hermite polynomial fitting to the original equation, which is an improvement of the traditional reservoir flood regulating integral equation. …”
Get full text

A New Universal Formula of Degree of Freedom for Planar Mechanism by Han Qing, Li Tiancheng

“…Without taking into account of redundant constraints,common constraints and isolated degree of freedom（DOF）,the traditional DOF calculation formulas are inefficient in calculating the DOF of planar mechanism in certain complicated cases.In addition,recalculating is needed when the configuration of mechanisms is changed.To solve these problems,a novel universal formula of DOF for planar mechanisms is presented based on the effectiveness impact of the components on the relation of input and output motion of mechanism.The algebraic relationship between redundant constraints,common constraints,partial DOF and the DOF of mechanism is studied respectively.The valid components,valid loops and higher pairs are defined as formula variables.The new formula does not need to calculate compound hinges and lower pairs and overcomes the invalidity of traditional formulas,which can be used directly for all kinds of planar mechanisms.In addition,by defining valid loops of mechanisms,the new formula emphasizes the impact of components,the basic unit of mechanisms,on the DOF of mechanism,which can avoid recalculating when the configuration of mechanisms is slightly changed.Contrast examples are presented to show the simplicity and validity of the new formula,which can be applied to ad-hoc planar mechanisms that couldn’t be solved by traditional formulas.…”
Get full text

Vector Bond Graph Method of Kineto- static Analysis for Hybrid Driving Five Linkage Mechanism by Wang Zhongshuang, Wang Xifeng

“…According to the adjacency relationship of the components of hybrid driving five bar linkage mechanism,the vector bond graph model of hybrid driving five bar linkage is established by assembling the vector bond graph model of planar moving rigid body,revolute joint and translational joint. For the algebraic difficulties brought by differential causality and nonlinear junction structure in automatic modeling and dynamics analysis of this kind mechanism,the effective bond graph augment method is proposed. …”
Get full text

Data on full stationary wave-field measurement of a suspended steel plate punctually loadedMendeley Data by Xuefeng Li, Thomas Brion, Pascal Fossat, Mohamed Ichchou, Olivier Bareille, Abdel-Malek Zine

“…Its value has been illustrated in the research paper “Algebraic K-Space Identification 2D technique for the automatic extraction of complex k-space of 2D structures in presence of uncertainty” [1]. …”
Get full text

Unitarization of the one-loop graviton-graviton scattering amplitudes and study of the graviball by J.A. Oller, Marcela Peláez

“…The resulting partial-wave amplitudes are next unitarized by employing the Inverse Amplitude Method and the algebraic-N/D method. Then, the graviball resonance, with a similar pole position, is confirmed in the S-wave partial-wave amplitude for all unitarization methods, also with respect to the unitarization of only the leading-order amplitude. …”
Get full text

Dynamic Stiffness Formulation for Free Vibration of Truncated Conical Shell and Its Combinations with Uniform Boundary Restraints by Chunyu Zhang, Guoyong Jin, Zhihao Wang, Xuqin Qian, Linghua Tian

“…Then, the general solutions can be replaced by an algebraic sum which contains eight base functions, which can diminish the number of degrees of freedom directly. …”
Get full text

Free Vibration Analysis of Rotating Pretwisted Functionally Graded Sandwich Blades by L. T. Liu, Y. X. Hao, W. Zhang, J. Chen

“…The mode shapes are expanded in terms of two-dimensional algebraic polynomials in the Rayleigh–Ritz method, and the static and dynamic natural frequencies of the blade are obtained. …”
Get full text

RETRACTED ARTICLE: Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas by Yuanyuan Liu, Jalil Manafian, Gurpreet Singh, Naief Alabed Alkader, Kottakkaran Sooppy Nisar

“…This method is based on the general properties of the nonlinear model of expansion method with the support of the complete discrimination system for polynomial method and computer algebraic system (AS) such as Maple or Mathematica. …”
Get full text

A Matrix Formulation for the Moment Distribution Method Applied to Continuous Beams by Arlindo Pires Lopes, Adriana Alencar Santos, Rogério Coelho Lopes

“…It was formulated by Professor Cross in an era where computer facilities were not available to solve frame problems that normally require the solution of simultaneous algebraic equations. Its relevance today, in the era of personal computers, is in its insight on how a structure reacts to applied loads by rotating its nodes and thus distributing the loads in the form of member-end moments. …”
Get full text

Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy by V. Т. Erofeenko

“…Roots (wave numbers) of a dispersion algebraic equations of four order, which characterizing electromagnetic fields with axial symmetry in layer made from the permalloy, is constructed. …”
Get full text

Towards Dynamic Remote Data Auditing in Computational Clouds by Mehdi Sookhak, Adnan Akhunzada, Abdullah Gani, Muhammad Khurram Khan, Nor Badrul Anuar

“…We propose an effectual RDA technique based on algebraic signature properties for cloud storage system and also present a new data structure capable of efficiently supporting dynamic data operations like append, insert, modify, and delete. …”
Get full text

Enhancing the Efficiency of Routing Strategies in WSNs Using Live Streaming Algorithms by Hayder Jasim Alhamdane, Mohsen Nickray

“…However, sometimes problems arise, such as poor flexibility, focusing on a single operative, and relying on precise algebraic models. Machine learning techniques can adapt to environmental changes and employ multiple agents to make informed decisions, providing new ideas for energy-saving and intelligent routing algorithms in wireless networks. …”
Get full text

ESG IN THE REAL ESTATE VALUATIONS. A PORTFOLIO SELECTION MODEL FOR ENERGY RETROFIT PROGRAMS by Francesco Tajani, Francesco Sica, Carola Clemente, Eugenio Arbizzani

“…The model assumes the configuration of a multi-objective system built by borrowing algebraic formalisms of Operations Research, especially those of optimization algorithms. …”
Get full text

A REAL TIME FACE RECOGNITION SYSTEM USING ALEXNET DEEP CONVOLUTIONAL NETWORK TRANSFER LEARNING MODEL by LAWRENCE O. OMOTOSHO, IBRAHIM K. OGUNDOYIN, JOSHUA O. OYENIYI, OLUWASHINA A. OYENIRAN

“…The most commonly used face recognition methods are mainly based on template matching, geometric features based, algebraic and deep learning method. The advantage of template matching is that it is easy to implement, and the disadvantage is that it is difficult to deal with the pose and scale changes effectively. …”
Get full text

A single source theorem for primitive points on curves by Maleeha Khawaja, Samir Siksek

“…Let $n \ge 2$ . We say that an algebraic point $P \in C(\overline {K})$ has degree n if the extension $K(P)/K$ has degree n. …”
Get full text

Unifying error-correcting code/Narain CFT correspondences via lattices over integers of cyclotomic fields by Shun'ya Mizoguchi, Takumi Oikawa

“…This code-lattice construction is redescribed in terms of root and weight lattices of Lie algebras, which allows to construct lattices for codes over rings Zq with non-prime q. …”
Get full text

Quantitative Controllability Metric for Disturbance Rejection in Linear Unstable Systems by Haemin Lee, Jinseong Park

“…Specifically, this study defines the steady-state solution of the DoDR metric, which avoids numerical issues by relying only on solving four algebraic equations, even when the Gramian matrices diverge. …”
Get full text