The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping by Hongwen Guo, Dihe Hu

“…We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have positive and finite Hausdorff measures, which in certain extent generalize some of the known results, about random recursive fractals.…”
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General Six-Step Discrete-Time Zhang Neural Network for Time-Varying Tensor Absolute Value Equations by Min Sun, Jing Liu

“…Firstly, based on the Taylor expansion theory, we derive a general Zhang et al. discretization (ZeaD) formula, i.e., a general Taylor-type 1-step-ahead numerical differentiation rule for the first-order derivative approximation, which contains two free parameters. …”
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Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three-Parameter Entropy by Cristina B. Corcino, Roberto B. Corcino

“…The derivative, integral, Taylor series, approximation formula, and branches of the function are obtained. …”
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Energy Efficient Homes: Comparing Homes for Energy Efficiency by Nicholas W. Taylor, Jeffrey Michael, Barbara Haldeman

“… FCS-3272, a 7-page fact sheet by Nicholas W. Taylor, Jeffrey Michael, and Barbara Haldeman, provides Florida homebuyers with an overview for evaluating each home’s energy efficiency and a checklist to help evaluate and compare. …”
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Energy Efficient Homes: An Introduction to Carbon Footprints by Nicholas W. Taylor, Jeffrey Michael, Kathleen C. Ruppert

“… FCS-3271, a 5-page illustrated fact sheet by Nicholas W. Taylor, Jeffrey Michael, and Kathleen C. Ruppert, introduces the concept of carbon footprint and how it is calculated, including quick facts and a glossary of terms. …”
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The Fundamental Aspects of TEMOM Model for Particle Coagulation due to Brownian Motion—Part II: In the Continuum Regime by He Qing, Xie Mingliang

“…The fundamental aspects of the Taylor-series expansion method of moment (TEMOM) model proposed to model the aerosol population balance equation due to Brownian coagulation in the continuum regime is shown in this study, such as the choice of the expansion point u, the relationship between asymptotic behavior and analytical solution, and the error of the high-order moment equations. …”
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Energy Efficient Homes: Comparing Homes for Energy Efficiency by Nicholas W. Taylor, Jeffrey Michael, Barbara Haldeman

“… FCS-3272, a 7-page fact sheet by Nicholas W. Taylor, Jeffrey Michael, and Barbara Haldeman, provides Florida homebuyers with an overview for evaluating each home’s energy efficiency and a checklist to help evaluate and compare. …”
Get full text

Energy Efficient Homes: An Introduction to Carbon Footprints by Nicholas W. Taylor, Jeffrey Michael, Kathleen C. Ruppert

“… FCS-3271, a 5-page illustrated fact sheet by Nicholas W. Taylor, Jeffrey Michael, and Kathleen C. Ruppert, introduces the concept of carbon footprint and how it is calculated, including quick facts and a glossary of terms. …”
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Personalized lightweight distributed network intrusion detection system in fog computing by Tianpeng YE, Xiang LIN, Jianhua LI, Xuankai ZHANG, Liwen XU

“…With the continuous development of Internet of Things (IoT) technology, there is a constant emergency of new IoT applications with low latency, high dynamics, and large bandwidth requirements.This has led to the widespread aggregation of massive devices and information at the network edge, promoting the emergence and deep development of fog computing architecture.However, with the widespread and in-depth application of fog computing architecture, the distributed network security architecture deployed to ensure its security is facing critical challenges brought by fog computing itself, such as the limitations of fog computing node computing and network communication resources, and the high dynamics of fog computing applications, which limit the edge deployment of complex network intrusion detection algorithms.To effectively solve the above problems, a personalized lightweight distributed network intrusion detection system (PLD-NIDS) was proposed based on the fog computing architecture.A large-scale complex network flow intrusion detection model was trained based on the convolutional neural network architecture, and furthermore the network traffic type distribution of each fog computing node was collected.The personalized model distillation algorithm and the weighted first-order Taylor approximation pruning algorithm were proposed to quickly compress the complex model, breaking through the limitation of traditional model compression algorithms that can only provide single compressed models for edge node deployment due to the high compression calculation overhead when facing a large number of personalized nodes.According to experimental results, the proposed PLD-NIDS architecture can achieve fast personalized compression of edge intrusion detection models.Compared with traditional model pruning algorithms, the proposed architecture achieves a good balance between computational loss and model accuracy.In terms of model accuracy, the proposed weighted first-order Taylor approximation pruning algorithm can achieve about 4% model compression ratio improvement under the same 0.2% model accuracy loss condition compared with the traditional first-order Taylor approximation pruning algorithm.…”
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Prevention of Cyclospora Contamination and Transmission on the Farm by Taylor L. O'Bannon, Michelle D. Danyluk, Keith R. Schneider, Matthew D. Krug

“… This new EDIS fact sheet is intended for fresh produce growers to provide education on preventing transmission and contamination of Cyclospora on the farm. Written by Taylor L. O’Bannon, Michelle D. Danyluk, Keith R. …”
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The Attractors of the Common Differential Operator Are Determined by Hyperbolic and Lacunary Functions by Wolf Bayer

“…For analytic functions, we investigate the limit behavior of the sequence of their derivatives by means of Taylor series, the attractors are characterized by 𝜔-limit sets. …”
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A New Precursor Integral Method for Solving Space-Dependent Kinetic Equations in Neutronic and Thermal-Hydraulic Coupling System by Yingjie Wu, Baokun Liu, Han Zhang, Jiong Guo, Fu Li, Jinlin Niu, Yizhen Wang, Menglei Cui

“…In this work, a new precursor integral method with an exponential approximation is proposed and compared with widely used Taylor approximation-based precursor integral methods. …”
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Energy Efficient Homes: Incentive Programs for Energy Efficiency by Nicholas W. Taylor, M. Jennison Kipp, Kathleen C. Ruppert

“… FCS-3268, a 4-page fact sheet by Nicholas W. Taylor, M. Jennison Kipp, and Kathleen C. Ruppert, is part of the Energy Efficient Homes series. …”
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Energy Efficient Homes: Easy Steps to Improving Your Home's Energy Efficiency by Nicholas W. Taylor, M. Jennison Kipp, Kathleen C. Ruppert

“… FCS-3267, a 5-page fact sheet by Nicholas W. Taylor, M. Jennison Kipp, and Kathleen C. Ruppert, is part of the Energy Efficient Homes series. …”
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Energy Efficient Homes: Incentive Programs for Energy Efficiency by Nicholas W. Taylor, M. Jennison Kipp, Kathleen C. Ruppert

“… FCS-3268, a 4-page fact sheet by Nicholas W. Taylor, M. Jennison Kipp, and Kathleen C. Ruppert, is part of the Energy Efficient Homes series. …”
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Energy Efficient Homes: Easy Steps to Improving Your Home's Energy Efficiency by Nicholas W. Taylor, M. Jennison Kipp, Kathleen C. Ruppert

“… FCS-3267, a 5-page fact sheet by Nicholas W. Taylor, M. Jennison Kipp, and Kathleen C. Ruppert, is part of the Energy Efficient Homes series. …”
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Florida H2OSAV Insights: Home Water Use in the Gainesville Regional Utilities (GRU) Service Territory by Nick Taylor, Kaitlin Olander Robb Price, Bradley C. Spatz, Tricia E. Kyzar, Pierce Jones

“… This 6-page fact sheet discusses basics about water consumption for single-family, detached homes served by Gainesville Regional Utilities, information about the highest water users, and impacts of irrigation on water consumption. Written by Nick Taylor, Kaitlin Olander Robb Price, Bradley Spatz, Tricia Kyzar, and Pierce Jones, and published by the UF/IFAS Department of Agricultural and Biological Engineering, September 2020. …”
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New Expansion Formulas for a Family of the λ-Generalized Hurwitz-Lerch Zeta Functions by H. M. Srivastava, Sébastien Gaboury

“…These expansion formulas are obtained by making use of some important fractional calculus theorems such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and the generalized chain rule. …”
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Florida H2OSAV Insights: Home Water Use in the Gainesville Regional Utilities (GRU) Service Territory by Nick Taylor, Kaitlin Olander Robb Price, Bradley C. Spatz, Tricia E. Kyzar, Pierce Jones

“… This 6-page fact sheet discusses basics about water consumption for single-family, detached homes served by Gainesville Regional Utilities, information about the highest water users, and impacts of irrigation on water consumption. Written by Nick Taylor, Kaitlin Olander Robb Price, Bradley Spatz, Tricia Kyzar, and Pierce Jones, and published by the UF/IFAS Department of Agricultural and Biological Engineering, September 2020. …”
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Analytic Approximation of the Solutions of Stochastic Differential Delay Equations with Poisson Jump and Markovian Switching by Hua Yang, Feng Jiang

“…The key contribution of this paper is to investigate the strong convergence between the true solutions and the numerical solutions to SDDEsPJMSs when the drift and diffusion coefficients are Taylor approximations.…”
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