Binomial Transforms of the Padovan and Perrin Matrix Sequences by Nazmiye Yilmaz, Necati Taskara

“…Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations. Finally, we illustrate the relations between these transforms by deriving new formulas.…”
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Breakfast Ideas by Claudia Peñuela

“…FCS8931, a 1-page illustrated fact sheet by Claudia Peñuela, provides a chart for making unique and nutritious breakfast combinations. …”
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Biology and Management of Chinese Tallow Tree by Rick Williams, Patrick Minogue

“…FOR-190, a 3-page illustrated fact sheet by Rick Williams and Patrick Minogue, describes this noxious weed introduced originally for oil production and favored as an ornamental, its biology and management strategies. …”
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Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theorem by Nouar Aziza Souad, Nisse Khadidja, Beloul Said

“…Finally, two examples are provided to illustrate our results.…”
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Existence of Iterative Cauchy Fractional Differential Equation by Rabha W. Ibrahim

“…The noninteger case is taken in sense of the Riemann-Liouville fractional operators. Applications are illustrated.…”
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BDVCM about the Steel Box Girder Reliability Prediction Based on Monitoring Extreme Stresses by Yuefei Liu, Xueping Fan, Guanghong Yang, Zhipeng Shang, Xiaoxiong Zhao

“…To reasonably predict the steel box girder reliability considering the dynamic dependence among the performance functions corresponding to the failure modes of the multiple monitoring points, this paper firstly adopts the dynamic monitoring extreme stresses of the multiple control points to build the Bayesian Dynamic Vine Copula Model (BDVCM) taking into account the dynamic dependence of the multiple monitoring variables through combining the vine copula technique with Bayesian Dynamic Linear Models (BDLM); secondly, with first-order second-moment method and the built BDVCM, the steel box girder reliability, taking into account dynamic dependence among the performance functions corresponding to the failure modes of the multiple monitoring points, is predicted; finally, the monitoring data from the five sections of an existing steel box girder were provided to illustrate the proposed model and approach. The analytical results illustrated that the predicted results, without considering the dynamic nonlinear dependence among the failure modes of the multiple monitoring points, are conservative.…”
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Multi-Task Nonparametric Regression Under Joint Sparsity by Jae-Hwan Jhong, Gyeongmin Kim, Kwan-Young Bak

“…A non-asymptotic oracle inequality is established to illustrate a possible improvement of the estimation error bound achieved by the proposed pooled estimator in comparison with the usual projection estimator. …”
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Difficulties of iron-deficiency anemia diagnostics by I. V. Mayev, D. T. Dicheva, D. N. Andreyev, Yu. S. Subbotina

“…The aim of clinical case presentation. To illustrate difficulties of detection of sources of gastro-intestinal bleeding (GIB) at investigation of patient with severe chronic iron-deficiency anemia.Key points. …”
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Oscillation Criteria of First Order Neutral Delay Differential Equations with Variable Coefficients by Fatima N. Ahmed, Rokiah Rozita Ahmad, Ummul Khair Salma Din, Mohd Salmi Md Noorani

“…Some examples are considered to illustrate the main results.…”
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Leiomyoma of the palatine tonsil - report of a rare and unusual tumor at this site by Andleeb Abrari, Aarti Tyagi, Urmi Mukherjee

“…Immunohistochemistry is needed for substantiation of the morphology and confirmation. We submit this illustrative case report.…”
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On Some Classes of Linear Volterra Integral Equations by Anatoly S. Apartsyn

“…The Volterra integral equations of the first kind with piecewise smooth kernels are considered. Illustrative examples are presented.…”
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Existence of Positive Solutions for a Nonlinear Higher-Order Multipoint Boundary Value Problem by Min Zhao, Yongping Sun

“…The main result is illustrated with an example.…”
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Quadruple Fixed Point Theorems under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces by Erdal Karapınar, Wasfi Shatanawi, Zead Mustafa

“…Also, we introduce an example to illustrate the effectiveness of our results.…”
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Reconsiderations on the Equivalence of Convergence between Mann and Ishikawa Iterations for Asymptotically Pseudocontractive Mappings by Haizhen Sun, Zhiqun Xue

“…Our aim in this paper is to illustrate that the proof of main theorem of Rhoades and Şoltuz (2003) concerning the equivalence between the convergences of Ishikawa and Mann iterations for uniformly L-Lipschitzian asymptotically pseudocontractive maps is incorrect and to provide its correct version.…”
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Healthy Eating: Understanding the Nutrition Facts Label by Karla P. Shelnutt

“…FCS8883, a 2-page illustrated fact sheet by Karla P. Shelnutt, explains the nutrition facts label — why it is needed and how to read it. …”
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Healthy Eating: Understanding the Nutrition Facts Label by Karla P. Shelnutt

“…FCS8883, a 2-page illustrated fact sheet by Karla P. Shelnutt, explains the nutrition facts label — why it is needed and how to read it. …”
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Periodic Oscillation Analysis for a Coupled FHN Network Model with Delays by Yuanhua Lin

“…Some examples are also presented to illustrate the result.…”
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A New Iterative Method for Suzuki Mappings in Banach Spaces by Junaid Ahmad, Kifayat Ullah, Muhammad Arshad, Zhenhua Ma

“…Some important weak and strong convergence results of the proposed iterative method are established in the setting of Banach space. An example illustrates the theoretical outcome.…”
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A Characterization of E-Benson Proper Efficiency via Nonlinear Scalarization in Vector Optimization by Ke Quan Zhao, Yuan Mei Xia, Hui Guo

“…Some examples are given to illustrate the main results.…”
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A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation by Na Wei, Cheng-Xi Liu, Teng Hu, Fu-Cai You

“…Then, the combined method is applied to nonlinear models and the residual functions illustrate the accuracies and conveniences.…”
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