An Experimental Study on the Creep Characteristics of Sandstone in the Interval of Different Critical Stresses by Chao Yang, Xingchen Dong, Xuan Xu, Qiancheng Sun

“…Both relationships tf and σ1 and (dε/dt)max and σ1 can be described by the exponential function. Then, a nonlinear damage creep model considering the deformation damage and strength damage in the interval of different critical stresses was established, which can describe the whole creep process and predict the failure time of sandstone specimens.…”
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Effect of Coexisting TiO2 Powder on Ionic Conduction of Highly Concentrated LiTFSA Aqueous Electrolyte (20.5 mol kg−1) by Jingchao XU, Hideshi MAKI, Hiro MINAMIMOTO, Minoru MIZUHATA

“…The conductivity increases exponentially with an increase of the liquid content up to ca. 40 vol%, and the activation energy of the conductivity increases with a decrease of the liquid content below 35 vol%. …”
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OsteoNet—A Framework for Identifying Osteoporosis in Bone Radiograph Images Using Attention-Based VGG Network by Abdul Wahab Muzaffar, Farhan Riaz, Muhammad Tahir

“…Spatial attention is achieved through average pooling followed by exponential weighting to focus on relevant spatial regions within the images. …”
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Mesoscopic Finite Element Method of the Effective Thermal Conductivity of Concrete with Arbitrary Gradation by Pingming Huang, Yu Zhao, Yanwei Niu, Xiang Ren, Mingfeng Chang, Yamin Sun

“…The effective thermal conductivity of concrete has a positive exponential relationship with the volume fraction of coarse aggregates, a positive logarithm relationship with the thermal conductivity of coarse aggregates, and a positive linear correlation with the thermal conductivity of cement mortar. …”
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Classical eikonal from Magnus expansion by Joon-Hwi Kim, Jung-Wook Kim, Sungsoo Kim, Sangmin Lee

“…The Magnus expansion, which takes the log of a time-ordered exponential integral, offers an efficient method to compute the coefficients of the tree graphs to all orders. …”
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Experimental Study on Dynamic Compression Characteristics of Red Sandstone under Wetting-Drying Cycles by Bin Du, Haibo Bai, Minglei Zhai, Shixin He

“…The results showed that under the same number of wetting-drying cycles, the dynamic compressive strength of red sandstone increased exponentially with the strain rate, and the sensitivity of the strain rate decreased with the increase of wetting-drying cycles. …”
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Towards Secure Internet of Things: A Coercion-Resistant Attribute-Based Encryption Scheme with Policy Revocation by Yuan Zhai, Tao Wang, Yanwei Zhou, Feng Zhu, Bo Yang

“…With the development and application of the Internet of Things (IoT), the volume of data generated daily by IoT devices is growing exponentially. These IoT devices, such as smart wearable devices, produce data containing sensitive personal information. …”
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Immunocompatibility of Bacteriophages as Nanomedicines by Tranum Kaur, Nafiseh Nafissi, Olla Wasfi, Katlyn Sheldon, Shawn Wettig, Roderick Slavcev

“…As phage applications to human therapeutic development grow at an exponential rate, it will become essential to evaluate host immune responses to initial and repetitive challenges by therapeutic phage in order to develop phage therapies that offer suitable utility. …”
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Remaining useful life prediction of lithium-ion batteries using a novel particle flow filter framework with grey model by Wang Shuai, Li Yiting, Zhou Shoubin, Chen Lifei, Michael Pecht

“…First, the least squares method is employed to obtain the initial values for double exponential empirical model parameters. Subsequently, the grey model is used to predict the current cycle capacity of LIBs as an observation value for the particle flow filter, solving the inaccurate estimation problem of the state of particle flow filter observation values, and the particle flow filter method is employed to update model parameters. …”
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Experimental Investigation into Compressive Behaviour and Preconsolidation Pressure of Structured Loess at Different Moisture Contents by Yali Xu, Panpan Guo, Chengwei Zhu, Gang Lei, Kang Cheng

“…The influencing rules which the moisture content exerts on the structured yield stress, the preconsolidation pressure, and the structural strength all conform to exponential functions. The study is of great significance to correctly differentiating the foundation consolidation states and calculating the ground settlement in loess regions.…”
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Use of psychedelic treatments in psychiatric clinical practice: an EPA policy paper by M. Destoop, P. Mohr, F. Butlen, P. Kéri, J. Samochowiec, L. De Picker, A. Fiorillo, K.P.C. Kuypers, G. Dom

“… Abstract Background Recent years show an exponential increased interest (“renaissance”) in the use of psychedelics for the treatment of mental disorders and broader. …”
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Decentralized Identity Management for Internet of Things (IoT) Devices Using IOTA Blockchain Technology by Tamai Ramírez-Gordillo, Antonio Maciá-Lillo, Francisco A. Pujol, Nahuel García-D’Urso, Jorge Azorín-López, Higinio Mora

“…The exponential growth of the Internet of Things (IoT) necessitates robust, scalable, and secure identity management solutions to handle the vast number of interconnected devices. …”
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A Developed Computational Code to Build a 3D Fracture Network to Reduce the Uncertainty of Fracture Parameter Generation (A Case Study of the Emamzadeh Hashem Tunnel) by Mahin Etemadifar, Gholamreza Shoaei, Morteza Javadi, Arash Hashemnejad

“…The results reveal that using a negative exponential distribution can introduce significant errors in constructing the fracture network, especially when generating the dip direction. …”
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Adaptive Parameter Approaching Law-Based Sliding Mode Control for Wheeled Robots by Ming Hou, Limeng Jia, Zhengqin Wang

“…The results indicate that, compared to the method combining exponential approaching law, saturation approaching law, and RBF neural network hierarchical sliding mode control, this method exhibits better tracking performance and effectively suppresses oscillations generated during the motion process, demonstrating improved stability when the system is subjected to disturbances.…”
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Dynamic Modeling and Simulation of a Thermoelectric-Solar Hybrid Energy System Using an Inverse Dynamic Analysis Input Shaper by A. M. Yusop, R. Mohamed, A. Ayob, A. Mohamed

“…In this study, an inverse dynamic analysis shaping technique based on exponential function is applied to a solar array (SA) to stabilize output voltage before this technique is combined with a thermoelectric module (TEM). …”
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Study on the abrasion property of the anvil inside a hydraulic DTH hammer fitted with horizontal oriented sliders by Jiang-fu He, Qi-lei Yin, Kun Yin

“…Simulation and experimental results have shown that the abrasion rate exponentially varies with the mass of the anvil and the friction coefficient of horizontal oriented slider, nevertheless the abrasion rate of horizontal anvil is almost logarithmically varies with moving velocity of oriented slider. …”
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A Grey NGM(1,1,k) Self-Memory Coupling Prediction Model for Energy Consumption Prediction by Xiaojun Guo, Sifeng Liu, Lifeng Wu, Lingling Tang

“…As for the approximate nonhomogeneous exponential data sequence often emerging in the energy system, a novel grey NGM(1,1,k) self-memory coupling prediction model is put forward in order to promote the predictive performance. …”
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Scale Effect on the Anisotropy of Acoustic Emission in Coal by Honghua Song, Yixin Zhao, Yaodong Jiang, Jiehao Wang

“…The correlation between TRFD and cumulative AE energy in the specimens with different sizes are separately consistent with the negative exponential equation proposed by Xie and Pariseau. With the specimen size gain, the reduction of the TRFD weakens with the increasing amount of cumulative absolute AE energy.…”
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Recognition mechanism and sequence optimization of organophosphorus pesticides aptamers for better monitoring contaminations in food by Pengfei Chen, Chaoqiong Hu, Xuan Tao, Zheng Zhou, Lijun Wang, Xiao Yang, Zhenming Che, Xianggui Chen, Yukun Huang

“…However, molecules of OPPs are structurally similar and original aptamers selected by systematic evolution of ligands by exponential enrichment are usually long-chain bases, which hamper the further application under OPPs-aptamer recognition. …”
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Statistical Prediction of the South China Sea Surface Height Anomaly by Caixia Shao, Weimin Zhang, Chunjian Sun, Xinmin Chai, Zhimin Wang

“…To investigate the predictability of SCS SSHA, an exponential smoothing approach and an autoregressive integrated moving average approach are first used to fit the interannual and residual terms of SCS SSHA while keeping the seasonal part invariant. …”
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