BRS-Based Robust Secure Localization Algorithm for Wireless Sensor Networks by Ning Yu, Lirui Zhang, Yongji Ren

“…In the second phase, we employ the weighted Taylor-series least squares method to estimate the coordinates of sensor nodes. …”
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Multiplierless discrete Fourier transform based on moments by LIU Zhen-bing, LIU Jian-guo, WANG Guo-you

“…A novel algorithm to perform Discrete Fourier Transform（DFT） multiplierlessly was proposed.First, by modular mapping and truncating Taylor series expansion, the DFT was expressed in the form of the product of the constants and discrete moments.Second, by performing appropriate bit operations and shift operations in binary system, the product could be transformed to some additions of integers.The proposed algorithm only involved integer additions and shifts because the discrete moments could be computed only by integer additions.The systolic VLSI was designed to perform the new algorithm, followed by complexity analysis.Compared with the state-of-the-art systolic structure, the proposed design was multiplierless and easier to implement with less hardware and time.The approach was also applicable to other discrete transforms.…”
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A perturbation-based model for rectifier circuits by Vipin B. Vats, H. Parthasarathy

“…The governing differential equation of the half-wave rectifier with capacitor filter is analyzed by expanding the output voltage as a Taylor series with respect to an artificially introduced parameter in the nonlinearity of the diode characteristic as is done in quantum theory. …”
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Chaotic Dynamics Analysis Based on Financial Time Series by Zheng Gu, Yuhua Xu

“…Secondly, the dynamic system of some nonlinear characteristic data is established according to the Taylor series expansion form, and the corresponding dynamic characteristics are analyzed. …”
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Well-posedness of the difference schemes of the high order of accuracy for elliptic equations by Allaberen Ashyralyev, Pavel E. Sobolevskiĭ

“…In the present paper we consider the high order of accuracy two-step difference schemes generated by an exact difference scheme or by Taylor's decomposition on three points for the approximate solutions of this differential equation. …”
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A Review and Criticism of Virtuous Life in the Secular Age by Mokhtar Nouri, Ghodrat Ahmadian

“…The book Virtuous Life in the Secular Age is the work of the Iranian thinker Farhang Rajaee and the Canadian philosopher Charles Taylor. This book is written based on a common concern between the two thinkers. …”
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Safety Characteristic Evaluation of Cage in Cylindrical Roller Bearing at the Stage of Start-Up and Stop by Zhang Wenhu, Wu Zhimin, Deng Sier, Zhang Song, Tian Heng, Yang Haisheng

“…The dynamics model of cylindrical roller bearing (CRB) in aeroengine main shaft was promoted and solved by Hilber–Hughes–Taylor (HHT) integer algorithm with variable step in combination with symmetric multiprocessing (SMP) parallel solving technology, and a finite element model of roller to cage contact was built. …”
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Contours of pacificism: Ramsden Balmforth's advocacy of peace in the Union of South Africa and beyond by F. Hale

“…It is argued that Balmforth was not at any time an absolute pacifist, and that the distinction between “pacifism” and “pacificism” which was advanced by inter alia the British historians A.J.P. Taylor and Martin Ceadel is particularly useful for interpreting Balmforth and placing him on the spectrum of positions with regard to the ethical defensibility of taking up arms. …”
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Numerical Treatment on Parabolic Singularly Perturbed Differential Difference Equation via Fitted Operator Scheme by Dagnachew Mengstie Tefera, Awoke Andargie Tiruneh, Getachew Adamu Derese

“…The delay term in the equation is expanded by Taylor series, the time variable is discretized by implicit Euler method, and the space variable is discretized by central difference methods. …”
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Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis by Geomji Choi, Juhwan Lee, Seongmin Chang

“…To address this issue, we implemented a reduced model for each frequency using a Taylor series. This method converts the transformation matrix into a frequency-independent form, which allows for a simple interpolation of the reduction model by updating the differences between frequencies. …”
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On the Tapping Mode Measurement for Young’s Modulus of Nanocrystalline Metal Coatings by H. S. Tanvir Ahmed, Eric Brannigan, Alan F. Jankowski

“…A Hertz-contact-based model is further developed using higher-order terms in a Taylor series expansion to determine a relationship between the reduced elastic modulus and the shift in the resonant frequency of the cantilever during elastic contact between the diamond tip and sample surface. …”
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Acute Arterial Thrombosis after Covered Stent Exclusion of Bleeding Mycotic Pseudoaneurysm: Treatment Using Catheter-Directed Thrombolysis by Sarah Palestrant, M. Grace Knuttinen, Ron C. Gaba, James T. Bui, Charles A. Owens

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Prosthetic stomatitis in patients with diabetes mellitus: correction of psycho-emotional stress by V.M. Dvornyk, I.Yu. Lytovchenko, I.Yu. Popovych, I.A. Holovanova, I.L. Dvornyk, O.V. Muravlova, L.B. Yerus, O.I. Teslenko

“…To objectify the state of psycho-emotional stress, in 2005-2015 and in 2022 psychological testing was carried out by the D. Taylor method on 230 people aged 19-70 years, among whom 85 patients were diagnosed with diabetes mellitus – the main group; 145 people were without internal diseases – two control groups. …”
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An Efficient Series Solution for Fractional Differential Equations by Mohammed Al-Refai, Mohamed Ali Hajji, Muhammad I. Syam

“…The new approach is a modified form of the well-known Taylor series expansion where we overcome the difficulty of computing iterated fractional derivatives, which do not compute in general. …”
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Fourier transforms in generalized Fock spaces by John Schmeelk

“…This space is a natural generalization of a classical Fock space as seen by expanding functionals having generalized Taylor series. The particular coefficients of such series are multilinear functionals having tempered distributions as their domain. …”
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Numerical Algorithms for Finding Zeros of Nonlinear Equations and Their Dynamical Aspects by Amir Naseem, M. A. Rehman, Thabet Abdeljawad

“…We derive these algorithms with the help of Taylor’s series expansion and Golbabai and Javidi’s method. …”
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a*-families of analytic functions by G. P. Kapoor, A. K. Mishra

“…A necessary and sufficient condition on the Taylor series coefficients so that an analytic function with negative coefficients is in an a*-family is obtained and sharp coefficents bound for functions in such a family is deduced. …”
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Perforated Duodenal Diverticulum Treated Conservatively: Another Two Successful Cases by Jad A. Degheili, Mohammed H. Abdallah, Ali A. Haydar, Ahmad Moukalled, Ali H. Hallal

“…We hereby present two cases of duodenal diverticula, complicated by perforation and fistulization into the retroperitoneal cavity, both treated conservatively by Taylor’s approach of upper gastrointestinal tract perforation. …”
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A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method by Khaled Moaddy, Mohammed AL-Smadi, Ishak Hashim

“…We implement a relatively new analytic iterative technique to get approximate solutions of differential algebraic equations system based on generalized Taylor series formula. The solution methodology is based on generating the residual power series expansion solution in the form of a rapidly convergent series with easily computable components. …”
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MOTION RELIABILITY ANALYSIS OF A 6⁃DOF INDUSTRIAL ROBOT by LI ZiYi, DING Li, MA Rui, DUAN JinJun

“…In order to evaluate the reliability and accuracy of the end⁃effector of a six⁃degree⁃of⁃freedom industrial robot in the task space,a robot motion reliability analysis strategy based on the envelope method was proposed.Firstly,the error function and reliability model of the robot system was obtained through kinematics.Secondly,the envelope method was used to solve the reliability model to obtain the failure probability of the end⁃effector,and the error function was linearized by Taylor′s formula,while redundant points in the covariance matrix were excluded in the calculation process to make it conform to the positive definite condition and improve the accuracy of the envelope.Finally,the proposed method was simulated and analyzed.The results show that the error of the envelope method compared with the Monte Carlo method is 0.5%~19.8%,which verifies the effectiveness of the method.…”
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