The New Novel Discrete Distribution with Application on COVID-19 Mortality Numbers in Kingdom of Saudi Arabia and Latvia by M. Nagy, Ehab M. Almetwally, Ahmed M. Gemeay, Heba S. Mohammed, Taghreed M. Jawa, Neveen Sayed-Ahmed, Abdisalam Hassan Muse

“…This model is formulated by combining both the exponential distribution and extended odd Weibull family to formulate the discrete extended odd Weibull exponential (DEOWE) distribution. …”
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On two new characterizations of Steiltjes transforms for distributions by Sunil Kumar Sinha

“…Two new characterizations of the Stieltjes transform for distribution are developed, using two transformations on the space of distributions viz., dilation Un and exponential shifts T−p. The standard theorem on analyticity, uniqueness and invertibility of the Stieltjes transform are proved, using the new characterization as the definition of the Stieltjes transform.…”
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The -Fractional Analogue for Gronwall-Type Inequality by Thabet Abdeljawad, Jehad O. Alzabut

“…Some particular cases are derived where -Mittag-Leffler functions and -exponential type functions are used. An example is given to illustrate the validity of the derived inequality.…”
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The Semimartingale Approach to Almost Sure Stability Analysis of a Two-Stage Numerical Method for Stochastic Delay Differential Equation by Qian Guo, Xueyin Tao

“…Almost sure exponential stability of the split-step backward Euler (SSBE) method applied to an Itô-type stochastic differential equation with time-varying delay is discussed by the techniques based on Doob-Mayer decomposition and semimartingale convergence theorem. …”
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Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis by Ji Eun Kim, Su Jin Lim, Kwang Ho Shon

“…From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy-Riemann equations in hypercomplex structures of ℝ3.…”
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The Equivalence of Datko and Lyapunov Properties for (h,k)-Trichotomic Linear Discrete-Time Systems by Claudia-Luminiţa Mihiţ, Mihail Megan, Traian Ceauşu

“…Also, we apply the results to illustrate necessary and sufficient conditions for nonuniform exponential trichotomy and nonuniform polynomial trichotomy.…”
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PREDICTION MODEL OF RESIDUAL STRESS AND OPTIMIZATION OF PROCESS PARAMETERS IN MILLING OF AL7075-T6 THIN-WALLED PARTS by JIANG XiaoHui, CAI Yan, ZHOU Hong, XU Zhou, KONG XiangJing

“…Compared with the traditional exponential empirical model, the superiority of the improved prediction model was proved. …”
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Triadic balance and network evolution in predictive models of signed networks by Hsuan-Wei Lee, Pei-Chin Lu, Hsiang-Chuan Sha, Hsini Huang

“…We analyze the impact of these structures on temporal network evolution by incorporating them into exponential random graph models across five networks of varying size, density, and directionality. …”
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Prototype of Swiftlet Nest Moisture Content Measurement Using Resistance Sensor and Machine Learning by Ratu Anggriani Tangke Parung, Hanna Arini Parhusip, Suryasatriya Trihandaru

“…Three mathematical models (linear, exponential, and modulated exponential) and a neural network were employed to predict moisture content. …”
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Resolvent Positive Operators and Positive Fractional Resolvent Families by Nan-Ding Li, Ru Liu, Miao Li

“…Moreover, we obtain that when 0<α<1, a positive exponentially bounded α-times resolvent family is always analytic. …”
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Integrated Fractional Resolvent Operator Function and Fractional Abstract Cauchy Problem by Ya-Ning Li, Hong-Rui Sun

“…We show that A generates an exponentially bounded (α,β)-ROF on a Banach space X if and only if the problem has a unique exponentially bounded classical solution vx and Avx∈L loc 1(ℝ+,X). …”
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Dependence of net-hyperon production at mid-rapidity on beam energy and its implication on baryon number carrier by Tsang Chun Yuen

“…Moreover, the exponential slopes for net- Λ, net-Ξ, and net-Ω are consistent with each other, suggesting that the baryon transport is flavor blind. …”
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Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers by Abdullah Alotaibi

“…In this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function. We estimate moments and establish some direct results of the aforementioned operators. …”
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Phase portraits and orbit wise dynamics solutions, quasi-periodic and chaotic behavior of heisenberg ferromagnetic spin chains mode by Harun-Or-Roshid, Alrazi Abdeljabbar, Md․ Sabur Uddin, Mst․ Shekha Khatun

“…This study yields exact solutions encompassing smooth periodic, dark, bright periodic, singular wave, dark bell solitary, bright bell solitary, bright-dark solitary wave, subharmonic wave, exponentially increasing wave, and exponentially decreasing wave solutions. …”
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Brittle Characteristic and Microstructure of Sandstone under Freezing-Thawing Weathering by Songtao Yu, Junren Deng, Hongwei Deng, Feng Gao, Jielin Li

“…The proposed brittleness index is highly related to F-T cycles, peak stress, porosity, and elastic modulus of sandstone that suffered recurrent F-T cycles. It declines exponentially with F-T cycles and porosity increase while growing exponentially with peak stress and elastic modulus increase.…”
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Perturbation-induced nonreciprocal transmission in nonlinear parity-time-symmetric silicon micromechanical resonators by Rui Wang, Lei Han, Man-Na Zhang, Li-Feng Wang, Qing-An Huang

“…In our approach, PT-symmetry breaking due to external perturbations to the loss resonator results in exponential growth and decay modes. The presence of the nonlinear gain suppresses the exponential growth mode. …”
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In vivo imaging of glycogen in human muscle by Chongxue Bie, Yuxuan Ma, Peter C. M. van Zijl, Nirbhay N. Yadav, Xi Xu, Hairong Zheng, Dong Liang, Chao Zou, José L. Areta, Lin Chen, Yang Zhou

“…Three types of regional glycogen kinetics were observed: (i) single exponential repletion (type a); (ii) biphasic recovery of rapid repletion followed by additional depletion (type b); (iii) biphasic recovery where continued depletion is followed by an exponential recovery (type c). …”
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The Propagation of Landslide-Generated Impulse Waves and Their Impacts on the Moored Ships: An Experimental Investigation by Ping Mu, Pingyi Wang, Linfeng Han, Meili Wang, Caixia Meng, Zhiyou Cheng, Haiyong Xu

“…The results indicate that the impact of impulse waves on the moored ships was mainly due to the first wave amplitude and height, and an exponential function relationship between the relative wave height and wave crest amplitude was revealed. …”
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Adaptive Wavelet Estimation of a Biased Density for Strongly Mixing Sequences by Christophe Chesneau

“…The estimation of a biased density for exponentially strongly mixing sequences is investigated. …”
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Applications of the Bell Numbers on Univalent Functions Associated with Subordination by Sh. Najafzadeh, Mugur Acu

“…The motivation of the present paper is to define a new subclass of univalent functions associated with the q-analogue of the exponential function and the well-known Bell numbers based on subordination structure. …”
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