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Supplemental material, sj-pdf-5-wso-10.1177_17474930221140792 for Human blood metabolites and lacunar stroke: A Mendelian randomization study by Meng-Nan Guo, Xiao-Yan Hao, Jie Tian, Yun-Chao Wang, Jia-Di Li, Yu Fan, Jing-Jing Shi, Dong-Rui Ma, Shuang-Jie Li, Chun-Yan Zuo, Yuan-Yuan Liang, Meng-Jie Li, Si Shen, Fen Liu, Da-Bao Yao, Yu-Ming Xu and Chang-He Shi in International Journal of Stroke

Supplemental material, sj-pdf-2-wso-10.1177_17474930221140792 for Human blood metabolites and lacunar stroke: A Mendelian randomization study by Meng-Nan Guo, Xiao-Yan Hao, Jie Tian, Yun-Chao Wang, Jia-Di Li, Yu Fan, Jing-Jing Shi, Dong-Rui Ma, Shuang-Jie Li, Chun-Yan Zuo, Yuan-Yuan Liang, Meng-Jie Li, Si Shen, Fen Liu, Da-Bao Yao, Yu-Ming Xu and Chang-He Shi in International Journal of Stroke

Supplemental material, sj-pdf-1-wso-10.1177_17474930221140792 for Human blood metabolites and lacunar stroke: A Mendelian randomization study by Meng-Nan Guo, Xiao-Yan Hao, Jie Tian, Yun-Chao Wang, Jia-Di Li, Yu Fan, Jing-Jing Shi, Dong-Rui Ma, Shuang-Jie Li, Chun-Yan Zuo, Yuan-Yuan Liang, Meng-Jie Li, Si Shen, Fen Liu, Da-Bao Yao, Yu-Ming Xu and Chang-He Shi in International Journal of Stroke

Supplemental material, sj-pdf-3-wso-10.1177_17474930221140792 for Human blood metabolites and lacunar stroke: A Mendelian randomization study by Meng-Nan Guo, Xiao-Yan Hao, Jie Tian, Yun-Chao Wang, Jia-Di Li, Yu Fan, Jing-Jing Shi, Dong-Rui Ma, Shuang-Jie Li, Chun-Yan Zuo, Yuan-Yuan Liang, Meng-Jie Li, Si Shen, Fen Liu, Da-Bao Yao, Yu-Ming Xu and Chang-He Shi in International Journal of Stroke

Supplemental material, sj-pdf-4-wso-10.1177_17474930221140792 for Human blood metabolites and lacunar stroke: A Mendelian randomization study by Meng-Nan Guo, Xiao-Yan Hao, Jie Tian, Yun-Chao Wang, Jia-Di Li, Yu Fan, Jing-Jing Shi, Dong-Rui Ma, Shuang-Jie Li, Chun-Yan Zuo, Yuan-Yuan Liang, Meng-Jie Li, Si Shen, Fen Liu, Da-Bao Yao, Yu-Ming Xu and Chang-He Shi in International Journal of Stroke

Supplemental material, sj-pdf-2-wso-10.1177_17474930221140792 for Human blood metabolites and lacunar stroke: A Mendelian randomization study by Meng-Nan Guo, Xiao-Yan Hao, Jie Tian, Yun-Chao Wang, Jia-Di Li, Yu Fan, Jing-Jing Shi, Dong-Rui Ma, Shuang-Jie Li, Chun-Yan Zuo, Yuan-Yuan Liang, Meng-Jie Li, Si Shen, Fen Liu, Da-Bao Yao, Yu-Ming Xu and Chang-He Shi in International Journal of Stroke

Supplemental material, sj-pdf-5-wso-10.1177_17474930221140792 for Human blood metabolites and lacunar stroke: A Mendelian randomization study by Meng-Nan Guo, Xiao-Yan Hao, Jie Tian, Yun-Chao Wang, Jia-Di Li, Yu Fan, Jing-Jing Shi, Dong-Rui Ma, Shuang-Jie Li, Chun-Yan Zuo, Yuan-Yuan Liang, Meng-Jie Li, Si Shen, Fen Liu, Da-Bao Yao, Yu-Ming Xu and Chang-He Shi in International Journal of Stroke

Supplemental material, sj-pdf-3-wso-10.1177_17474930221140792 for Human blood metabolites and lacunar stroke: A Mendelian randomization study by Meng-Nan Guo, Xiao-Yan Hao, Jie Tian, Yun-Chao Wang, Jia-Di Li, Yu Fan, Jing-Jing Shi, Dong-Rui Ma, Shuang-Jie Li, Chun-Yan Zuo, Yuan-Yuan Liang, Meng-Jie Li, Si Shen, Fen Liu, Da-Bao Yao, Yu-Ming Xu and Chang-He Shi in International Journal of Stroke

Supplemental material, sj-pdf-1-wso-10.1177_17474930221140792 for Human blood metabolites and lacunar stroke: A Mendelian randomization study by Meng-Nan Guo, Xiao-Yan Hao, Jie Tian, Yun-Chao Wang, Jia-Di Li, Yu Fan, Jing-Jing Shi, Dong-Rui Ma, Shuang-Jie Li, Chun-Yan Zuo, Yuan-Yuan Liang, Meng-Jie Li, Si Shen, Fen Liu, Da-Bao Yao, Yu-Ming Xu and Chang-He Shi in International Journal of Stroke

Supplemental material, sj-pdf-4-wso-10.1177_17474930221140792 for Human blood metabolites and lacunar stroke: A Mendelian randomization study by Meng-Nan Guo, Xiao-Yan Hao, Jie Tian, Yun-Chao Wang, Jia-Di Li, Yu Fan, Jing-Jing Shi, Dong-Rui Ma, Shuang-Jie Li, Chun-Yan Zuo, Yuan-Yuan Liang, Meng-Jie Li, Si Shen, Fen Liu, Da-Bao Yao, Yu-Ming Xu and Chang-He Shi in International Journal of Stroke

This paper presents a normalization model to characterize the nonlinear deformation of a tire in the tire/ground contact region based on tire torsion deformation and an equation to predict the pivot steering resistance torque of the tire. The model was established based on experiments and the equation was derived using it and the principle of minimum energy consumption. The equation shows that the torque is related to parameters such as vertical load on the tire, coefficient of sliding friction, steering angle, kingpin inclination, radius of the tire/ground contact region and turning radius from the intersection point of extension line of the kingpin axis and the ground to the central plane of the tire. The equation was validated in accuracy by carrying out analyses of the measured values and predictions of the torques under seven different loads. Additionally, the applicability of the equation in engineering was evaluated by performing analyses of the measured values and simulations of the link forces of the steering mechanism for a nine-axle vehicle. The results from both of the analyses demonstrate that the equation is reasonable and has satisfactory accuracy to an extent.

In non-canonical two-field inflation models, deviations from the canonical model can be captured by a parameter $��$. We show this parameter is usually one half of the slow-roll order and analytically calculate the primordial power spectra accurate to order $��^2$. The super-horizon perturbations are studied with an improved method, which gives a correction of order $��^2$. Three typical examples demonstrate that our analytical formulae of power spectra fit well with numerical simulation., 24 pages, 6 figures, Appendix E added