A red pomegranate fruit extract-based formula ameliorates anxiety/depression-like behaviors via enhancing serotonin (5-HT) synthesis in C57BL/6 male mice by Xiping Zhu, Dongxiao Sun-Waterhouse, Chun Cui

“…Thus, the neuroprotective and ameliorating effects on anxiety/depression-like behaviors resulting from the RPFE formula ingestion were possibly related to serotonergic activation, which might be mediated via anti-inflammatory and anti-oxidant actions.…”
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Research on the law of engine compressor blade crack propagation based on operation data by SHI LiZhong, DONG Shuo, LIU XueFeng, CHEN Jian

“…In the stage of stable crack propagation, the prediction results of Walker and Newman formulas are relatively dangerous, and the prediction results of Paris formula are in good agreement with each other, and can be mutually confirmed with the requirements of damage development control in the manufacturer's technical manual.…”
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Differentiable semigroups are Lie groups by John P. Holmes, Mitch Anderson

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Forward Kinematics and Workspace Analysis of a 6-DOF Dual-arm Operating System Based on the Screw Theory by Zheng Xuekai, Liu Fang, Yang Yan, Wei Wenqing

“…The correctness of the forward kinematics model established by screw theory is verified by comparing the simulation results with the results obtained by the forward kinematics equation. …”
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Effects of Nutrient Salts on Growth Performance of Oocystis borgii by Bin ZHANG, Yuanyou LIN, Baolong YUAN, Xien ZHU, Tiancong CHEN, Yongzhen ZHAO, Naikun SHEN

“…Finally, the optimal nutrient formula was obtained.【Result】The results of the single factor test showed that the optimal sources and concentrations of nitrogen, phosphorus, carbon and iron sources for O. borgei were CO(NH2)2 160 mg/L, C3H7Na2O6P 8 mg/L, NaHCO3 1 g/L, and FeCl3 0.2 mg/L, respectively. …”
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Level crossings and turning points of random hyperbolic polynomials by K. Farahmand, P. Hannigan

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Calculation Method of River Width of Mountainous Watershed Based on Watershed Morphology by LI Qian

“…The calculation of river floods in mountainous and hilly areas is crucial for mountain flood prevention and forecasting.However,how to calculate accurately the river width in the mountainous and hilly areas has become a key issue in the calculation of mountain floods.This paper takes the modified river development coefficient K_w which reflects the watershed morphology as a selection indicator for the best generalized formula for river width,and proposes a river width calculation method based on watershed area and river development coefficient by analyzing the measured section data of the rivers of 6 mountainous watersheds in 2 provinces.After being verified in Beizhangdian Watershed in Shanxi Province and Qingshuizhan Watershed in Hunan Province,the results indicate that the accuracy of this calculation method for river width is better,which can provide the calculation support for mountain flood forecast.…”
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Optimization of Fermentation Conditions for Liquid Strain of a Unique Low-temperature Straw Mushroom (Volvariella brumalis) in China by Xue XIONG, Peng LI, Zhun XIANG, Jing HUANG

“…A four-factor and three-level orthogonal test was conducted to determine the best fermentation formula.【Result】The result showed that the optimal carbon source for liquid fermentation culture of V. brumalis was glucose. …”
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Methods of Calculating Moisture Discharge Characteristics of Insulators by Shevchenko S., Danylchenko D., Hanus R., Radohuz S., Tomashevskiy R., Makhonin M., Potryvai A.

“…The significance of the results lies in the creation of a tool that simplifies the calculation of moisture discharge characteristics of insulators.…”
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Biochemical characteristics, genetic variants and treatment outcomes of 55 Chinese cases with neonatal intrahepatic cholestasis caused by citrin deficiency by Juan Li, Jintao Duan, Shuli He, Ying Li, Meifen Wang, Chengjun Deng

“…The newly discovered variants may be meaningful for the individualized treatment of NICCD patients. LF/MCT formula was recommended for NICCD patients.…”
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STUDY ON ENERGY ABSORPTION CHARACTERISTICS OF CIRCULAR TUBE WITH RECTANGULAR GROOVE BASED ON REGRESSION ANALYSIS by LEI Cheng, LI FuSheng, MIAO DeXiang, ZHU Tao

“…Then. the mult tiple linear anc nonlinear regression analysis methods were used to solve the calculation model parameters, and the empirical formulas of peak force and energy absorption were obtained by comparing the two fitting results. …”
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Saline–CO₂ Solution Effects on the Mechanical Properties of Sandstones: An Experimental Study by Motao Duan, Haijun Mao, Guangquan Zhang, Junxin Liu, Sinan Zhu, Di Wang, Hao Xie

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Naimark-Type Results Using Frames by Raksha Sharma, Nikhil Khanna

“…Also, using FASS, some Naimark-type results are obtained. Finally, a formula to give the average probability of an incorrect measurement using FASS is obtained.…”
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Prediction of traditional Chinese medicine for diabetes based on the multi-source ensemble method by Bin Yang, Qingyun Chi, Xiang Li, Jinglong Wang

“…Finally, the frequencies of occurrences of the medicinal herbs obtained from the three algorithms using the component and target datasets are integrated to select duplicate drugs as the candidate drugs for diabetes treatment.ResultsThe identification results reveal that theproposed ensemble method has higher accuracy than GBDT, FNT, and LightGBM. …”
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Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces by Ahmed Chana, Abdellatif Akhlidj

“… The main goal of this paper is to introduce the Hartley-Bessel \(L^2_\alpha\)-multiplier operators and to give for them some new results as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. …”
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New Forms of the Open Newton-Cotes-Type Inequalities for a Family of the Quantum Differentiable Convex Functions by Jarunee Soontharanon, Muhammad Ali, Shahram Rezapour, Muhammad Toseef, Thanin Sitthiwirattham

“…These results extend the applicability of Newton-Cotes methods to quantum calculus, offering a novel contribution to the numerical analysis of convex functions. …”
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On Defining Expressions for Entropy and Cross-Entropy: The Entropic Transreals and Their Fracterm Calculus by Jan A. Bergstra, John V. Tucker

“…Classic formulae for entropy and cross-entropy contain operations <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mstyle scriptlevel="0" displaystyle="true"><mfrac><mi>x</mi><mn>0</mn></mfrac></mstyle></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo form="prefix">log</mo><mn>2</mn></msub><mi>x</mi></mrow></semantics></math></inline-formula> that are not defined on all inputs. …”
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Sandwich-Type Results and Existence Results of Analytic Functions Associated with the Fractional <i>q</i>-Calculus Operator by Sudhansu Palei, Madan Mohan Soren, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ

“…In the present investigation, we present certain subordination and superordination results for the <i>q</i>-integral operator of a fractional order associated with analytic functions in the open unit disk <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">U</mi></semantics></math></inline-formula>. …”
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Predicting the depth of insertion of central venous catheters using a bronchoscopy-based carinal measurement technique or the Peres’ formula-based method in adults undergoing cardi... by Satyajeet Misra, Prasanta K. Das, Bikram K. Behera, Devishree Das, Tarun K. Patra

“…Methods: We randomised adults undergoing cardiac surgery into a bronchoscopy group or the Peres’ formula-based method group. CVCs were inserted through the right internal jugular vein. …”
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Calculation Method of Gravity Center and Moment of Radial Gate by LAN Qin, DUAN Dongxu, LIAO Yuhai, CHENG Zhong

“…The gravity moment of radial gate is an important factor affecting the opening and closing force.In this paper,the analytical formulas of gravity,gravity center and gravity moment of radial gate are derived theoretically,and the influence of two parameters of its gravity center (radius r_G and inclination θ_G) on its opening and closing force are analyzed.On these basis,a simple method for calculating its gravity center is presented.Taking the spillway radial gate and spillway tunnel radial gate of Pankou hydropower station as examples,the rationality and superiority are verified.The results show that compared with the results of empirical formula and 3d model,combination method and rotation method have the advantages of high accuracy and versatility;rotation method is more convenient than the combination method and is an optimal calculation method for gravity center of radial gate.In the two parameters of center of gravity,radius r_G has a greater influence on the opening and closing force of radial gate,and inclination θ_G has a less influence on it.The simple calculation formula is suitable for radial gate without local weighting block,which can overcome the disadvantage of complex calculation of rotation method.In order to achieve high precision and efficiency,the applicability and advantages of empirical formula,rotation method and simple method should be comprehensively utilized in the design.…”
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