Study of the Characteristics Mechanical Damage and Constitutive Model of Crushed-Rocks from High-Grade Highway in Permafrost Region by Qinshuai Zhang, Qingzhi Wang, Jianhong Fang, Xiangqing Zhao, Jizhen Li, Shuan Li

“…The uniaxial compressive strength of rock decreases exponentially with the increase of the number of freeze-thaw cycles. …”
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Study on optimization strategy for hybrid underlay/overlay spectrum sharing based on queuing model by Jian-ping LIU, Shun-fu JIN, Bao-shuai WANG

“…In order to improve the licensed spectrum utilization in cognitive radio networks,and provide higher experience quality to system users,the optimizing strategies of the hybrid underlay/overlay spectrum sharing mode was studied.For secondary users,a queuing model with service time following two phase order exponential distribution was constructed,and a method to obtain the steady state distribution was presented for the system model.Based on reward-cost structure,individual optimization strategy with observable case and the Nash equilibrium strategy with unobservable case were discussed.With purpose of optimal social benefit and maximal spectrum incomes,the pricing policies for secondary users to use licensed spectrum were formulated.Using the system experiment,the relations among the different optimal strategies were investigated,and the rationality of the price mechanism was verified.By contrasting the optimal social benefits gained by hybrid underlay/overlay spectrum sharing mode，overlay spectrum sharing mode and underlay spectrum sharing mode,it is further shown that the social optimization strategy of hybrid overlay/underlay sharing mode is more effective and stable to fully use the spectrum resource.…”
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Research on inter-core crosstalk characteristics of real multi-core fibers with multi-core excitation by Lian XIANG, Hongfeng PAN, Shulin JIN, Weidong SHAO

“…Based on the coupled power theory, the characteristics of optical power and inter-core crosstalk (ICXT) were studied in real multi-core fibers (MCF) with multi-core excitation.According to the simplified coupled power equation of 7-core fiber, the analytical expressions of optical signal power and ICXT in each fiber core were deduced under three multi-core excitation conditions.Simulation results show that, after long-distance transmission, the optical power of each core would converge to a fixed value and reach a dynamic equilibrium state, and its convergence distance decreased exponentially with the increase of bending radius and gradually tended to a fixed value.In addition, in order to study the relationship between multi-core excitation and single-core excitation, the analytical expressions of the power and ICXT in coupled cores were deduced under simultaneous excitation and separate excitation of multi-core.Research shows that the contribution of multi-core excitations to the ICXT of coupled core is irrelevant, and the ICXT of multi-core excitation is equivalent to the sum of the ICXT obtained by the excitation of the cores separately.…”
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Research Frontiers and Hotspots for the Sludge Pretreatment from 2010 to 2020 — Based on the Bibliometrics Analysis of WoS Database by YAO Yanzhong, SUN Yunpeng, WU Qianqian, SUI Jiayi, WANG Zichao, SONG Youtao

“…Sludge pretreatment is important to the reduction,harmlessness and recycling of sludge.In order to clarify the frontiers and hotspots of international research in the field of sludge pretreatment in the past 10 years,taking the core data collected by Web of Science from 2010 to 2020 as the research object,this paper adopts bibliometrics methods and CiteSpace visualization tools to analyze the number of papers published,country,institution,journal,author and keywords.The results show that:In recent ten years,sludge pretreatment technology has been widely concerned,and China has an absolutely leading position in this area.The number of publications presents a trend of exponential increase,and they are mainly published on top journals such as Bioresource Technology,Water Research,with great academic influence.Researches mainly focus on the impact of pretreatment technology to sludge digestibility,changing mechanism and practical engineering,etc.In addition,the optimization and technological conditions of pretreatment methods will become main research hotspots in the future.This paper clearly summarizes the research status,development course and hotspot change of sludge pretreatment,providing reference and strategic thinking for future study.…”
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Les jardins urbains de Séville by Raúl Puente Asuero

“…After three decades, the neighbors of the Miraflores Park have been involved actively in the improvement of the city claiming and assuming the management of social programs.Nowadays, in the current context of multi-crisis and as mechanism of response of the population, there is taking place an exponential growth of the urban gardens in Spain with a welfare vocation, of self-consumption, of guarantor of the sovereignty and the food safety and as social resource for disadvantaged families.Many urban gardens have been still the model initiated by the Miraflores Park and all has as common denominator that they are public alive spaces that strengthen the social fabric of the cities. …”
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EXPERIMENTAL STUDY ON MILLING SURFACE QUALITY OF TC18 TITANIUM ALLOY by WANG YongXin, ZHANG ChangMing

“…Two prediction models（exponential model and multiple quadratic regression model） were established by using taguchi and optimization module design methods, and multi-objective genetic algorithm and response surface method were respectively used for parameter optimization aiming at improving surface quality and machining efficiency.The results show that: The order of influence of each parameter on the surface roughness is feed f>milling depth a_p>milling width a_e>speed of mainshaft n; The multiple quadratic regression model has higher significance and the surface topography obtained from the combination of response surface optimization parameters is optimal. …”
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STUDY ON THE CORRELATION BETWEEN STIFFNESS AND HARDNESS OF RUBBER PARTS BASED ON MOONEY-RIVLIN MODEL (MT) by WANG YuanShao, NIE ZiHao

“…Based on the experimental data of rubber hardness, the exponential quadratic nonlinear function of hardness and Mooney-Rivlin model parameters was established. …”
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Institutional distance, trade agreements, and intellectual property trade networks: Evidence from cross-border data. by Yida Wang, Jiangjiao Wang

“…Based on the Temporal Exponential Random Graph Models (TERGM), this paper applies global intellectual property trade data between countries to investigate the impact and mechanism of institutional distance on the intellectual property trade network. …”
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A New Accurate Numerical Method Based on Shifted Chebyshev Series for Nuclear Reactor Dynamical Systems by Yasser Mohamed Hamada

“…Stability of the method is discussed and it has proved that the method has an exponential rate of convergence. The method is applied to solve different problems of the point kinetics equations including step, ramp, and sinusoidal reactivities. …”
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Abundant Bounded and Unbounded Solitary, Periodic, Rogue-Type Wave Solutions and Analysis of Parametric Effect on the Solutions to Nonlinear Klein–Gordon Model by Mohammad Mobarak Hossain, Alrazi Abdeljabbar, Harun-Or Roshid, Md. Mamunur Roshid, Abu Naim Sheikh

“…By implementing the modified simple equation (MSE) technique, we develop some disguise adaptation of analytical solutions in terms of hyperbolic, exponential, and trigonometric functions with some special parameters. …”
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BENEATH THE CHURCH EPITAPH “TO THE GLORY OF GOD” SCREAM THE VOICES OF THE UNEMPLOYED by K.T. Resane

“…The number is growing exponentially. High-school leavers and university graduates have no assurance of employment at the end of their academic careers. …”
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Variational Quantum Simulation: A Case Study for Understanding Warm Starts by Ricard Puig, Marc Drudis, Supanut Thanasilp, Zoë Holmes

“…The barren plateau phenomenon, characterized by loss gradients that vanish exponentially with system size, poses a challenge to scaling variational quantum algorithms. …”
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Ten Years After the 2008 Crisis: Has Risk Aversion Won? by Eliana Marcia Martins Fittipaldi Torga, Carolina Magda da Silva Roma, Paula Magda Roma, Bruno Pérez Ferreira

“…Five investment portfolios were built by taking into consideration the weight distribution criteria defined by the inverse of the standard deviation of assets, the natural logarithm and exponential of these values, as well as the minimum variance and tangent portfolios, based on the S&P 500 futures index, dollar futures index, US government long-term bond (10-year Treasury Bond) and gold futures. …”
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The Half-Logistic Generalized Weibull Distribution by Masood Anwar, Amna Bibi

“…The new model includes half-logistic Weibull distribution, half-logistic exponential distribution, and half-logistic Nadarajah-Haghighi distribution as submodels. …”
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A Multimode Dynamic Short-Term Traffic Flow Grey Prediction Model of High-Dimension Tensors by Huiming Duan, Xinping Xiao

“…This model achieves rolling prediction by introducing a cycle truncation accumulated generating operation; furthermore, the proposed model is unbiased, and it can perfectly fit nonhomogeneous exponential sequences. In addition, based on the multimode characteristics of traffic flow data tensors and the relationship between the cycle truncation accumulated generating operation and matrix perturbation to determine the cycle of dynamic prediction, the proposed model compensates for the periodic verification of the RSDGM and SGM grey prediction models. …”
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STUDY ON A NUMERICAL METHOD FOR THE DYNAMIC RESPONSE OF BOLTED STRUCTURE UNDER PRETENSION AND IMPACT LOADS by GUO LiLun, CHEN Zhongfu, LUO JingRun, CHEN Gang

“…In the method,balanced penalty function method is used to deal with the thread contact problem,and the exponential pressure-overclosure is adopted. Pretension force is defined as a couple on the nut directly,since the helical model of the thread is obtained. …”
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Electricity Usage Scheduling in Smart Building Environments Using Smart Devices by Eunji Lee, Hyokyung Bahn

“…Specifically, we formulate the electricity usage scheduling problem as a real-time task scheduling problem and show that it is a complex search problem that has an exponential time complexity. An efficient heuristic based on genetic algorithms is performed on a smart device to cut down the huge searching space and find a reasonable schedule within a feasible time budget. …”
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A Unifying Theory for SIDS by David T. Mage, Maria Donner

“… (1) A characteristic male fraction of approximately 0.61 for all postneonatal SIDS in the US; (2) a distinctive lognormal-type age distribution arising from zero at birth, mode at about 2 months, median at about 3 months, and an exponential decrease with age going towards zero beyond one year; (3) a marked decrease in SIDS rate from the discovery that changing the recommended infant sleep position from prone to supine reduced the rate of SIDS, but it did not change the form of the age or gender distributions cited above; (4) a seasonal variation, maximal in winter and minimal in summer, that implies subsets of SIDS displaying evidence of seasonal low-grade respiratory infection and nonseasonal neurological prematurity. …”
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Temporal dependent rate-distortion optimization based on distortion backward propagation by Hongwei GUO, Ce ZHU, Xu YANG, Lei LUO

“…Rate-distortion optimization (RDO) is a crucial technique in block based hybrid video encoders.However, the widely used independent RDO is far from obtaining optimal coding performance.To improve the rate-distortion (R-D) performance of high efficiency video coding (HEVC), a temporal dependent RDO algorithm was proposed.Firstly, the formula to calculate temporal distortion propagation factor was derived by using an exponential R-D function.Then, the coding distortion and motion compensation predicted error were obtained by pre-encoding, and the temporal distortion propagation factor was estimated by using distortion backward propagation.Finally, the Lagrange multiplier and quantization parameter of coding tree unit were adaptively adjusted to optimize bit resources allocation.Experimental results show that compared with the original RDO method in HEVC under the low-delay configuration, the proposed algorithm achieves an average 4.4% bit rate reduction for all test sequences, and up to 13.0% bit rate reduction for test sequence BasketballDrill, at the same reconstructed video quality.…”
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A New Climate vulnerability Index Sistan and Baluchistan province by esmaeail ahmadi, zahra hejazizadeh, bohlol alijani, Mohammad saligheh, Hassan danaie fard

“…Third: Due to the nature and factors of vulnerability, a climate vulnerability index was developed based on the multiplicative-exponential model (CVIMEM). Forth: The index was calculated for the province and sub regions. …”
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