Local Hopf Bifurcation in a Competitive Model of Market Structure with Consumptive Delays by Xuhui Li

“…Finally, numerical simulations are given to support the analytical results.…”
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Bifurcation Analysis for a Predator-Prey Model with Time Delay and Delay-Dependent Parameters by Changjin Xu

“…Finally, numerical simulations are performed to verify the analytical results.…”
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Experiment and Mechanism Investigation on Freezing-Thawing of Sandstone with Different Water Contents by Guilei Song, Longxiao Chen, Kesheng Li, Deng Zhang, Junhao Xu, Wenshuo Xu, Chuanxiao Liu, Jinpeng Zhang

“…Furthermore, the empirical formulas of UCS and E about water content were obtained. …”
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A Martingale-Free Introduction to Conditional Gaussian Nonlinear Systems by Marios Andreou, Nan Chen

“…Desirably, it enjoys closed analytic formulae for the time evolution of its conditional Gaussian statistics, which facilitate the study of data assimilation and other related topics. …”
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Application of microwave six-port in software radio by ZHANG Lan1, WANG Bing2, FENG Ke-jin1

“…Common formulas of six-port demodulation orthogonal modulation signals was educed. …”
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Hopf Bifurcation and Chaos of a Delayed Finance System by Xuebing Zhang, Honglan Zhu

“…Finally, numerical simulation results are presented to validate the theoretical analysis. …”
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Study on Early Warning of Karst Collapse Based on the BP Neural Network by Dongqin Chen

“…The experimental results show that the process karst state simulated by the algorithm is very close to the actual situation, and the minimum value of antisliding coefficient and its occurrence time can be accurately predicted, with an error range of less than 3%. …”
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On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k) by Stevo Stević, Josef Diblík, Bratislav Iričanin, Zdenĕk Šmarda

“…We show that the difference equation xn+1=xnxn-k/xn-k+1(a+bxnxn-k),n∈ℕ0, where k∈ℕ, the parameters a, b and initial values x-i, i=0,k̅ are real numbers, can be solved in closed form considerably extending the results in the literature. By using obtained formulae, we investigate asymptotic behavior of well-defined solutions of the equation.…”
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Computing of Transmission Ratio for ZF8HP 8-speed AT based on Lever Method by Changshu Zhan, Fuwei Tian

“…The research result provides a theoretical basis for the design of automatic transmission.…”
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Kinetodynamic Model and Simplified Model of X-Type Seat System with an Integrated Spring Damper by Changcheng Zhou, Leilei Zhao, Yuewei Yu, Fuxing Yang, Song Wang

“…Based on the principle of conservation of energy, the analytical formulae of the equivalent damping coefficient Ce and the damping transformation coefficient ρc were deduced. …”
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The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function by S. Chandak, Biniyam Shimelis, Nigussie Abeye, A. Padma

“…In the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V-function as the kernel. …”
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Bifurcations of Tumor-Immune Competition Systems with Delay by Ping Bi, Heying Xiao

“…Numerical examples and simulations are given to illustrate the bifurcations analysis and obtained results.…”
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On the capacity loss of closed-loop MIMO by ZHANG Duo, WEI Guo, ZHU Jin-kang

“…In the closed-loop MIMO system model, the mathematic formulae between the closed-loop MIMO capacity loss and the feedback channel rate were deduced. …”
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Perihelion Precessions of Inner Planets in Einstein’s Theory and Predicted Values for the Cosmological Constant by Alvaro H. Salas S, Jairo E Castillo H, Lorenzo J. Martınez H

“…In this paper, we obtain the approximate value of 42.9815 arcsec/century for Mercury’s perihelion precession by solving both numerically and analytically the nonlinear ordinary differential equation derived from the geodesic equation in Einstein’s Theory of Relativity. We also compare our result with known results, and we illustrate graphically the way Mercury’s perihelion moves. …”
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The Acquisition of English Vocabulary for Children at Grade III in SD Islam Nurul Hidayah by Albiansyah Albiansyah, Fahriany Fahriany

“…The results of the interviews indicate that the development of English language vocabulary by children is in two stages (telegraphic/formulaic expression and constructive language): body part is 39% telegraphic and 61% productive, transportation is 62% telegraphic and 38% productive, color is 44% telegraphic and 56% productive, classroom is 40% telegraphic and 60% productive, job is 45% telegraphic dan 55% productive, nation is 43% telegraphic and 57% productive, universe is 81% telegraphic and 19% productive, self-introduction is 57% telegraphic and 43% productive, prayer before learning is 100% with 0% productive language, and prayer after learning is 100% and 0% productive language. …”
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Readability and Suitability of COPD Consumer Information by Kathryn Fullmann, David F. Blackburn, Mark E. Fenton, Holly Mansell

“…Medication information and instructions for inhaler use were analyzed for readability by seven formulas, with an acceptability threshold of grades 6–8. …”
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AN ASSESSMENT METHOD FOR THE CONTROL SYSTEMS QUALITY by Г. І. Манко

“…The vectors of input and output values ​​obtained as a result of modeling were processed using the formulas introduced in this article. …”
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Magnetorefractive effect in metallic Co/Pt nanostructures by А. N. Yurasov, D. A. Sayfulina, Т. N. Bakhvalova

“…The dependence was expressed explicitly using the basic formulas for permittivity, refraction and extinction coefficients, and optical conductivity. …”
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Narace pražského jara ve vzpomínkách rehabilitovaných příslušníků Československé lidové armády by Jiří Hlaváček

“… This study focuses on the analysis of narrative patterns of the Prague Spring in the collective memory of former members of the Czechoslovak People ́s Army, who had been made redundant as result of their negative attitude towards the intervention of Warsaw Pact troops into Czechoslovakia in August 1968. …”
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Linear Complexity of Generalized Cyclotomic Sequences of Order 4 over Fl by Yuhua Sun, Qiuyan Wang, Yang Yan, Tongjiang Yan, Hui Li

“…In particular, Ding deduced the exact formulas for the autocorrelation and the linear complexity of these sequences of order 2. …”
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