A Prebiotic Formula Improves the Gastrointestinal Bacterial Flora in Toddlers by Ya-Ling Chen, Fang-Hsuean Liao, Shyh-Hsiang Lin, Yi-Wen Chien

“…Our results revealed that the consumption of 3-prebiotic formula three times per day giving total intake of 1.8 g prebiotic ingredients significantly showed the increased number of probiotic Bifidobacterium spp. colonies and the reduced populations of both C. perfringens and total anaerobic bacteria on the fecal bacterial flora in toddlers at 18~36 months. …”
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Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct by Yiu-Yin Lee

“…The main advantage of the analytic formula is that no nonlinear equation solver is required during the solution procedure. …”
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A Formula Adaptive Pixel Pair Matching Steganography Algorithm by Min Long, Fenfang Li

“…This will allow users to embed secret message directly without storing and searching the look-up table. Experimental results and analysis show that the proposed method could embed secret data directly without searching the neighborhood sets by using a formula and it still maintains flexibility in the selection of notional system, high image quality, and strong anti-steganalysis ability.…”
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16-Channel Hybrid WDM-PDM-MDM (de) Multiplexer for Multi-Band Large-Capacity Optical Transmission System Based on Thick Si<inline-formula><tex-math notation="LaTeX">$_{3}$</tex-mat... by Deyue Ma, Xiwen He, Chen Zhou, Mingyue Xiao, Jiqiao Liu, Weibiao Chen, Zhiping Zhou

“…We propose a novel design of hybrid multi-band wavelength/polarization/mode (de)multiplexer based on 800 nm thick Si<inline-formula><tex-math notation="LaTeX">$_{3}$</tex-math></inline-formula>N<inline-formula><tex-math notation="LaTeX">$_{4}$</tex-math></inline-formula> platform. …”
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Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions by D. Baleanu, P. Agarwal, S. D. Purohit

“…Some interesting special cases of our two main results are presented. We also point out that the results presented here, being of general character, are easily reducible to yield many diverse new and known integral formulas involving simpler functions.…”
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Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1 by Prathima Jayarama, Dongkyu Lim, Arjun Kumar Rathie

“…For this, we have established eight theorems containing general results. This is achieved by means of applying generalized Watson’s and Dixon’s summation formulas obtained earlier by Lavoie et al. into a known transformation formula available in the literature. …”
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Certain Summation and Operational Formulas Involving Gould–Hopper–Lambda Polynomials by Maryam Salem Alatawi

“…The corresponding results for Hermite–Lambda polynomials are also obtained. …”
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Classification Formula and Generation Algorithm of Cycle Decomposition Expression for Dihedral Groups by Dakun Zhang, Yonggang Lin, Guozhi Song

“…It includes the reflection and rotation conversion, which derived six common formulae on cycle decomposition expressions of group; it designed the generation algorithm on the cycle decomposition expressions of group, which is based on the method of replacement conversion and the classification formula; algorithm analysis and the results of the process show that the generation algorithm which is based on the classification formula is outperformed by the general algorithm which is based on replacement conversion; it has great significance to solve the enumeration of the necklace combinational scheme, especially the structural problems of combinational scheme, by using group theory and computer.…”
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Infant Exposure to Metals through Consumption of Formula Feeding in Mekelle, Ethiopia by Tadele Eticha, Melat Afrasa, Getu Kahsay, Hailekiros Gebretsadik

“…This study aimed at determination of heavy metals (cadmium, lead, and zinc) in milk-based infant formulas collected from Mekelle, Ethiopia, and their associated health risks to the infants through consumption of these products. …”
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Proposal of an objective formula-based model for equitable ranking of veterinary colleges by Robert M. Gogal, Steven David Holladay

“…This formula is designed to be readily modified within and beyond the veterinary profession.ResultsThe new ranking system works from calculations that are straightforward and transparent with little room for subjective interpretation. …”
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Accuracy of Intraocular Lens Power Calculation Formulas for Highly Myopic Eyes by Yichi Zhang, Xiao Ying Liang, Shu Liu, Jacky W. Y. Lee, Srinivasan Bhaskar, Dennis S. C. Lam

“…Results. One hundred seventy-one eyes were enrolled. …”
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A New Combination Formula for Treatment of Fungal Keratitis: An Experimental Study by Hala Mohamed El-Mofty, Mohamad Amr Salah Eddin Abdelhakim, Mohamed Farid El-Miligi, Mohamed A. El-Nabarawi, Islam Ahmed Hamed Khalil

“…In vivo evaluation was performed on 24 rabbits divided into 2 groups, 12 rabbits each, group A (fast release formula; 6 times daily) and group B (slow release formula; 3 times daily). …”
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<inline-formula><tex-math notation="LaTeX">$\mathrm{D}^{3}$</tex-math></inline-formula>T: Deep Denoising Dictionary Tensor for Hyperspectral Anomaly Detection by Qiangqiang Shen, Zonglin Liu, Hanzhang Wang, Yanhui Xu, Yongyong Chen, Yongsheng Liang

“…Numerous experimental results from various real-world datasets validate the effectiveness of our <inline-formula><tex-math notation="LaTeX">$\mathrm{D}^{3}$</tex-math></inline-formula>T.…”
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A formula for the sum of $n$ weak$^\star $ closed sets in $L^\infty $ by Zivari-Rezapour, Mohsen, Liu, Yichen, Emamizadeh, Behrouz

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Scattering amplitudes from Euclidean correlators: Haag-Ruelle theory and approximation formulae by Agostino Patella, Nazario Tantalo

“…Our result generalizes and extends the range of applicability of a result previously obtained by Barata and Fredenhagen [1]. …”
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Effects of nitrogen, phosphorus and potassium formula fertilization on the yield and berry quality of blueberry. by Xinyu Zhang, Shuangshuang Li, Xiaoli An, Zejun Song, Yunzheng Zhu, Yi Tan, Xiaolan Guo, Delu Wang

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On the Computation of Some Topological Descriptors to Find Closed Formulas for Certain Chemical Graphs by Muhammad Haroon Aftab, Muhammad Rafaqat, M. Hussain, Tariq Zia

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Optimizing Extraction, Evaluating Antioxidant Activity, and Analyzing Bioactive Compounds in Trikaysornmas Formula by Suphatson Limsakul, Orawan Monthakantirat, Yaowared Chulikhit, Juthamart Maneenet, Charinya Khamphukdee, Yutthana Chotritthirong, Achiraya Phasomsap, Chantana Boonyarat, Supawadee Daodee

“…The total active contents including phenolic, flavonoid, carotenoid, and alkaloid compounds were found in the formula. The developed HPLC method exhibited reliable results in all validation parameters. …”
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Comparison of Predictability Using Barrett Universal II and SRK/T Formulas according to Keratometry by Kei Iijima, Kazutaka Kamiya, Yoshihiko Iida, Nobuyuki Shoji

“…Results. The prediction error using the SRK/T formula was significantly more myopic than that using the Barrett Universal II formula (the paired t-test, p<0.001). …”
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Patterns Exploration on Patterns of Empirical Herbal Formula of Chinese Medicine by Association Rules by Li Huang, Jiamin Yuan, Zhimin Yang, Fuping Xu, Chunhua Huang

“…In this study, we use association rules to explore the latent rules and patterns of prescribing and adjusting the ingredients of herbal decoctions based on empirical herbal formula of Chinese Medicine (CM). Materials and Methods. …”
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