Stability Analysis of a Class of Neural Networks with State-Dependent State Delay by Yue Chen, Jin-E Zhang

“…We use the purely analytical method to deduce the sufficient conditions for local exponential stability of the zero solution. Finally, a few numerical examples are presented to prove the availability of our results.…”
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Analytical Solution of the Hyperbolic Heat Conduction Equation for Moving Semi-Infinite Medium under the Effect of Time-Dependent Laser Heat Source by R. T. Al-Khairy, Z. M. AL-Ofey

“…The solution is obtained by Laplace transforms method, and the discussion of solutions for different time characteristics of heat sources capacity (constant, instantaneous, and exponential) is presented. The effect of absorption coefficients on the temperature profiles is examined in detail. …”
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Reliability analysis of wireless communication equipment based on model selection by SUN Jin, HU Jicheng, JIAO Yaqi, WANG Kun

“…In view of the complex structure and failure mechanism of wireless communication equipment, numerous failure distribution types, difficulty in selecting and evaluating reliability models and other problems, this paper starts from the research on equipment failure distribution at the bottom level, takes typical wireless communication system vehicle self-organizing network equipment as the research object, and compares and analyzes the correlation coefficients and error values of equipment life exponential distribution, lognormal distribution and two-parameter Weibull distribution. …”
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Mean Square Consensus of General Linear Multiagent Systems with Communication Noises under Switching Topologies by Kairui Chen, Chuance Yan, Qijun Ren, Xianxian Zeng, Junwei Wang

“…Furthermore, an estimation of the exponential convergence rate of consensus is given explicitly. …”
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Comparative Analysis of Machine Learning Models for Predicting Interfacial Bond Strength of Fiber-Reinforced Polymer-Concrete by Miljan Kovačević, Marijana Hadzima-Nyarko, Predrag Petronijević, Tatijana Vasiljević, Miroslav Radomirović

“…The optimal model identified was the GPR ARD Exponential model, which achieved a mean absolute error (MAE) of 1.8953 MPa and a correlation coefficient (R) of 0.9658. …”
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AI-powered digital transformation – organizational perspective. Literature review by Ewa Chrzanowska, Maciej Chrzanowski, Piotr Zawada

“…Simultaneously, artificial intelligence (AI) emerges as a disruptive force, with immense potential to impact businesses and individuals on an unprecedented scale and at an (exponential) pace. The purpose of paper is to present the theoretical foundations of the concept of AI-powered digital transformation from an organizational perspective (taking ethical aspects also into account). …”
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Low-complexity signal detection algorithm based on preconditioned conjugate gradient method by Hua QU, Jing LIANG, Jihong ZHAO, Weihua WANG

“…For large-scale multiple-input multiple-output system，minimum mean square error signal detection algorithm is near-optimal but involves matrix inversion，and complexity is growing exponentially. So less-complexity signal detection algorithm using preconditioned conjugate gradient method was proposed，the algorithm reduced the condition number of matrix by pretreatment technology，thus speeding up the convergence rate of conjugate gradient signal detection algorithm. …”
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A Note on Confidence Interval for the Power of the One Sample 𝑡 Test by A. Wong

“…In this note, a general methodology for obtaining inference concerning a scalar parameter of interest of any exponential family model is proposed. The method is then applied to the one-sample mean problem with unknown variance to obtain a (1−𝛾)100% confidence interval for the power of the Student's 𝑡-test that detects the difference (𝜇−𝜇0). …”
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Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity by Adil Jhangeer, Abdallah M. Talafha, Ariana Abdul Rahimzai, Lubomír Říha

“…The transformation of the coupled partial differential equation into ordinary differential equation is achieved by utilizing a complex wave variable. Exponential function combinations are applied to construct the wave solutions. …”
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The relationship between the number of statutes coming into force and the number of regulations coming into force: Findings from empirical studies by Patryk Ciurak

“…The results confirmed the existence of the abovementioned relationship, which can be described as strong and exponential. An equation was also formulated to predict the number of regulations that will come into force based on the projected number of statutes coming into force in a given month. …”
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Bayesian Estimation of Generalized Process Capability Indices by Sudhansu S. Maiti, Mahendra Saha

“…Bayesian estimation of the index has been considered under squared error loss function. Normal, exponential (nonnormal), and Poisson (discrete) processes have been taken into account. …”
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On the Limitations of Univariate Grey Prediction Models: Findings and Failures by Aubin Kinfack Jeutsa, Marius Tony Kibong, Benjamin Salomon Diboma, Flavian Emmanuel Sapnken, Prosper Gopdjim Noumo, Jean Gaston Tamba

“…Unfortunately, the most used version of the grey model (GM), namely, GM(1,1), works best when the system series have an increasing exponential rate. In any other case, the GM(1,1) produces inaccurate predictions. …”
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STUDY ON FLAW DEPTH STATISTICS AND CORRESPONDING FATIGUE LIFE OF HELICOPTER ALUMINIUM ALLOY STRUCTURE by NI Yang, ZHOU ChuWei, YU JianJian, ZOU Jing

“…Statistic results show that the depth of impact pits obey the exponential distribution,and a standard size is confirmed according to the size coverage of 90%. …”
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ANALYSIS OF BOLT JIONT STIFFNESS EFFECT WITH PRY FORCE by LIU XiaoXue, GUO HanFei, ZHANG YaHui, ZHANG YouWei

“…The distance between centreline of bolt and prying force is shorter the initial stiffness is greater,the distance is increased by 30%,the stiffness is reduced 60% reduction. Double exponential fitting formula is proposed and compared with the analysis results which provide stiffness calculation method is effect for bolt joint stiffness structures.…”
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Research on adaptive rate control algorithm for H.264 based on R-Q model by Xin-zi ZHENG, Bing-qing LUO, Zhi-xin SUN

“…The foundation theory of rate control theory in H.264 video coding standard was analyzed.The latest research work about rate control algorithm were summarized.On the basis of analysis.A novel frame-level rate control algorithm was proposed.Firstly,in order to reduce the inter-dependency between RDO (rate-distortion optimization) and rate control,a kind of two-stage rate control algorithm was presented.Secondly,to provide more accurate prediction of the frame complexity,instead of the MAD (mean absolute difference),bits information in the RDO-based mode decision process was employed to predict the frame complexity.Thirdly,a self-adaptive exponential R-Q model was proposed.The proposed rate control algorithm overcomes the disadvantages in the rate control precision and encoding performance of former algorithms.…”
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Multistep Modelling and Monitoring of Bioprocesses by Velislava Lyubenova, Maya Ignatova, Denitsa Kristeva, Olympia Roeva

“…For this reason, three phases characterised by the bioprocess are defined – periodic, exponential, and stationary. During each phase, the process passes through one or more physiological states. …”
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Qualitative Behaviour of Solutions in Two Models of Thin Liquid Films by Matthew Michal, Marina Chugunova, Roman Taranets

“…Depending on initial data, we show algebraic or exponential dissipation of an energy functional which implies dissipation of the solution arc length that is a well known property for a Hele-Shaw flow. …”
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The Efficient Method for Calculating the Physical Optics Scattered Fields from the Concave Surfaces by Yu Mao Wu, Hanzhang Zhou, Ya-Qiu Jin, Jun Hu, Haijing Zhou, Weijie Wang

“…Then, on involving the NSDP method, we deform the integration paths of the integrals into several NSDPs on the complex plain, through which the highly oscillatory integrands are converted to exponentially decay integrands. The RCS results of the PO scattered field are calculated and are compared with the high frequency asymptotic (HFA) method and the brute force (BF) method. …”
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Research on the Numerical Simulation of the Nonlinear Dynamics of a Supercavitating Vehicle by Tianhong Xiong, Xianyi Li, Yipin Lv, Wenjun Yi

“…In this paper, based on a four-dimensional dynamical system of this vehicle, its complicated dynamical behaviors were analyzed in detail by numerical simulation, according to the phase trajectory diagram, the bifurcation diagram, and the Lyapunov exponential spectrum. The influence of control parameters (such as various cavitation numbers and fin deflection angles) on the movement characteristics of the supercavitating vehicle was mainly studied. …”
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Single-channel blind separation of co-frequency modulated signals based on Gibbs sampler by Yong YANG, Dong-ling ZHANG, Hua PENG, Shi-long TU

“…A Gibbs-sampler-based separation algorithm was proposed for single-channel co-frequency digital-modulated signals，which were received in non-cooperative ways.The probability density samples of unknown symbol sequences can be obtained by statistic method，and the computation complexity was not growing exponentially with the increase of channel order.With special emphasis on the separation algorithms of single pair of symbols，multiple pair of symbols and the tracking of channel responses.Moreover，the separation performance between Gibbs sampler and per-survivor processing(PSP) algorithm were analyzed and compared in detail.Simulation results show that，compared with PSP algorithm with L=4 for two co-frequency QPSK-modulated signals，Gibbs sampler can be nearly 17 times lower in computation complexity when the approximately performance is obtained.…”
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