Composition, Non‐Commutativity, and Vector Decompositions of Finite Rotations by François Dubeau

“…We present a basic extensive treatment of rotations in 3D. The results are presented and derived in a coordinate‐free setting, where no frames are required and no components of any matrix are manipulated. …”
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Segmentasi Wilayah Terdampak Bencana Berdasarkan Fitur Geo-Posisi by Ade Sutedi, Indri Tri Julianto, Leni Fitriani

“…Daerah terdampak dipetakan berdasarkan data geo-posisi kemudian dihitung menggunakan metode Haversine Formula untuk menunjukkan peristiwa bencana terjadi dan seberapa jauh jangkauan bencana dirasakan. …”
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TangBi Formula for Painful Diabetic Distal Symmetric Polyneuropathy: A Multicenter, Randomized, Double‐Blind, Placebo‐Controlled and Parallel‐Group Trial by Xuefei Zhao, Xuedong An, Yashan Cui, Liu Dong, Zhaohui Fang, Zhonghua Zheng, Xinhe Zuo, Huailin Gao, Tianshu Gao, Qing Ni, Fengmei Lian, Xiaolin Tong

“…Secondary outcomes were changes in nerve conduction velocity (NCV) and single clinical signs and symptoms as measured by the visual‐analogue scale (VAS) and Toronto clinical scoring system (TCSS). Results Compared with the placebo group, after 24 weeks of treatment, the MDNS score of TangBi Formula group was significantly reduced (p < 0.001). …”
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Woxuanzhongzhou formula improves DHEAS and high-fat diet-induced IR and anovulatory mice via AMPK/PGC1- α/Irisin pathway by Haijuan Liu, Guohua Wang, Conglu Sui, Yanan Guo, Xiangyu He

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Energy intake insufficiency due to underestimated energy requirement by common predictive formulas can be identified by urinary amino acid levels in advanced heart failure by Yoko Sakamoto, Tomohito Ohtani, Kei Nakamoto, Fusako Sera, Shungo Hikoso, Yasushi Sakata

“…The difference between TEE and predicted TEE using the European Society for Clinical Nutrition and Metabolism formula was most significant in the underweight patients because of underestimation, whereas TEE and pTEE using our modified formula with coefficients by BMI categories did not differ. …”
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An Efficient Solid-Phase Extraction-Based Liquid Chromatography Method to Simultaneously Determine Diastereomers α-Tocopherol, Other Tocols, and Retinol Isomers in Infant Formula by Baifen Huang, Zengxuan Cai, Jingshun Zhang, Jiaojiao Xu

“…The method was checked by infant formula reference material SRM 1849a as well, which illustrated good agreement of mass fraction with certified value and enriched the important isomer data.…”
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HuoXueTongFu Formula Alleviates Intraperitoneal Adhesion by Regulating Macrophage Polarization and the SOCS/JAK2/STAT/PPAR-γ Signalling Pathway by Min Zhao, Yao-Yao Bian, Li-Li Yang, Yan-Qi Chen, Ya-Jie Wang, Yan-Ting Ma, Yu-Qiong Pei, Wen-Lin Li, Li Zeng

“…Intraperitoneal adhesion is a common complication after abdominal surgery, which seriously affects the quality of life of patients. HuoXueTongFu Formula (HXTF) plays an important role in the prevention and treatment of intraperitoneal adhesions. …”
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Elucidating the pharmacological foundations and mechanisms of the Sihai Shuyu formula in treating Graves’ disease through integrated serum metabolomics and network pharmacology wit... by Xiaoju Liu, Xingjia Li, Wenbin Huang, Yifan Cui, Fengyun Cheng, Guofang Chen, Guofang Chen, Xiaodong Mao, Chao Liu, Chao Liu, Shuhang Xu

“…Ethnopharmacological relevanceThe Sihai Shuyu Formula (SHSY) shows promising potential for treating Graves’ disease (GD), although the therapeutic mechanisms and pharmacological basis of SHSY have not been thoroughly evaluated.ObjectiveThis work is aim to investigate the pharmacological basis and mechanism of SHSY in the treatment of GD by integrating non-targeted serum metabolomics and network pharmacology coupled with molecular docking technology.Materials and methodsGD was induced in mice through injections of Ad-TSH289. …”
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Fu Tu Sheng Jin Rehabilitation Formula Mitigate Airway Inflammation, Mucus Secretion and Immune Dysfunction Induced by SARS-CoV-2 Spike Protein by Wang BH, Yu KY, Zhang XN, Sun XH, Tang LL, Shi XL

“…Additionally, FTSJRF regulates immune functions by promoting DC maturation and Th17/Treg and Th1/Th2 cell homeostasis.Keywords: COVID-19, SARS-CoV-2 spike protein, Fu Tu ShengJin Rehabilitation Formula, airway inflammation, mucus secretion, immune dysfunction…”
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Chinese herbal formula Tongxie Yaofang granules for diarrhoea-predominant irritable bowel syndrome: a randomised, double-blind, placebo-controlled, phase II trial by Nicola Robinson, Mei Han, Ling Yan, Vincent Chi Ho Chung, Jian-Ping Liu, Hui-Juan Cao, Shi-Bing Liang, Hong-Jie Cheng, Qiao-Yan Zhang, Yu-Fei Li, Ze-Yu Yu, Ling-Yao Kong, Yan-Mei Cai, Li-Bao An, Bao-Tuan Zhao, Shan-Shan Xu, Nai-Wei Zhang, Bo-Yi Jia, Wei-Fang Liu, Fang Niu, Ba-Teer Wu, Jin-Ming Song, Shu-Xin Jia, Meng-Meng Shi, Xiao-Na Zhang

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The Efficacy and Safety of the Chinese Herbal Formula, JTTZ, for the Treatment of Type 2 Diabetes with Obesity and Hyperlipidemia: A Multicenter Randomized, Positive-Controlled, Op... by Xiaotong Yu, Lipeng Xu, Qiang Zhou, Shengping Wu, Jiaxing Tian, Chunli Piao, Hailong Guo, Jun Zhang, Liping Li, Shentao Wu, Meizhen Guo, Yuzhi Hong, Weirong Pu, Xiyan Zhao, Yang Liu, Bing Pang, Zhiping Peng, Song Wang, Fengmei Lian, Xiaolin Tong

“…One group received JTTZ formula, and the other received metformin (MET) for 12 consecutive weeks. …”
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Long-Term Intracranial Progression-Free Survival in Lung Cancer Brain Metastases Extended Beyond 50 Months with Gubenxiaoyi Formula (GBXY): A Groundbreaking Case Study by Zhengzheng Yang, Haiming Li, Lei Chen, Shujiao Li, Dong Chen, Taicheng Lu, Tongjing Ding, Ruiyang Han, Peiyu Cheng, Xiaomin Wang

“…Subsequently, she underwent treatment with the traditional Chinese herbal formula gubenxiaoyi (GBXY). The patient was treated with GBXY for a total duration of 55 months. …”
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Asymptotic behavior of a delayed stochastic logistic model with impulsive perturbations by Sanling Yuan, Xuehui Ji, Huaiping Zhu

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A new formulation of the law of octic reciprocity for primes ≡±3(mod8) and its consequences by Richard H. Hudson, Kenneth S. Williams

“…This is accomplished by breaking the formula of A.E. Western into three distinct parts involving two polynomials and a Legendre symbol; the latter condition restricts the validity of the method presented in section 2 to primes q≡3(mod8) and significant modification is needed to obtain similar results for q≡±1(mod8). …”
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Differentiable semigroups are Lie groups by John P. Holmes, Mitch Anderson

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Level crossings and turning points of random hyperbolic polynomials by K. Farahmand, P. Hannigan

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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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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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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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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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