In this paper, we investigate spectral method for mixed inhomogeneous boundary value problems in three dimensions. Some results on the three-dimensional Legendre approxima- tion in Jacobi weighted Sobolev space are es...In this paper, we investigate spectral method for mixed inhomogeneous boundary value problems in three dimensions. Some results on the three-dimensional Legendre approxima- tion in Jacobi weighted Sobolev space are established, which improve and generalize the existing results, and play an important role in numerical solutions of partial differential equations. We also develop a lifting technique, with which we could handle mixed inho- mogeneous boundary conditions easily. As examples of applications, spectral schemes are provided for three model problems with mixed inhomogeneous boundary conditions. The spectral accuracy in space of proposed algorithms is proved. Efficient implementations are presented. Numerical results demonstrate their high accuracy, and confirm the theoretical analysis well.展开更多
Introduction The bench press is commonly used to measure upper-body strength.While much emphasis has been placed on the upper-body,little is known about how the lower-body can play a role in bench press performance.Le...Introduction The bench press is commonly used to measure upper-body strength.While much emphasis has been placed on the upper-body,little is known about how the lower-body can play a role in bench press performance.Leg-drive is a technique that includes flexing the knee so the feet line up posterior to the knee joint,while simultaneously contracting the knee extensors isometrically during the lift.The purpose of this study was to compare strength characteristics of lifters in a standard bench press versus a leg-drive bench press over the course of 5-weeks of training.Methods Twenty-three recreationally active males(age:22.4±2.1 years,height:175.0±5.9 cm,mass:78.4±9.5 kg)were randomized into a standard bench or leg-drive bench press group.Participants performed four sets to failure,two times per week for five weeks.Variables of interests were training volume and 1-repetition maximum(1RM)strength.For training volume,a 2×5(group×week)repeated measures analysis of variance(RMANOVA)was used.For the 1RM’s,a 2×2×2(group×press type×time)RMANOVA was used.A priori alpha levels were set to 0.05.Results Over time,both groups showed an approximate 6%increase in 1RM strength.Training volume for week 4 was 5.6%less than week 5,but was not different from weeks 1 through 3.No between-group differences were observed for 1RM strength or training volume.Conclusion This results of this work indicates that 5 weeks of leg-drive training is effective in increasing 1RM strength,but was not more effective than standard bench press training.Practically,lifters should choose either lifting style based on personal preference.展开更多
文摘In this paper, we investigate spectral method for mixed inhomogeneous boundary value problems in three dimensions. Some results on the three-dimensional Legendre approxima- tion in Jacobi weighted Sobolev space are established, which improve and generalize the existing results, and play an important role in numerical solutions of partial differential equations. We also develop a lifting technique, with which we could handle mixed inho- mogeneous boundary conditions easily. As examples of applications, spectral schemes are provided for three model problems with mixed inhomogeneous boundary conditions. The spectral accuracy in space of proposed algorithms is proved. Efficient implementations are presented. Numerical results demonstrate their high accuracy, and confirm the theoretical analysis well.
文摘Introduction The bench press is commonly used to measure upper-body strength.While much emphasis has been placed on the upper-body,little is known about how the lower-body can play a role in bench press performance.Leg-drive is a technique that includes flexing the knee so the feet line up posterior to the knee joint,while simultaneously contracting the knee extensors isometrically during the lift.The purpose of this study was to compare strength characteristics of lifters in a standard bench press versus a leg-drive bench press over the course of 5-weeks of training.Methods Twenty-three recreationally active males(age:22.4±2.1 years,height:175.0±5.9 cm,mass:78.4±9.5 kg)were randomized into a standard bench or leg-drive bench press group.Participants performed four sets to failure,two times per week for five weeks.Variables of interests were training volume and 1-repetition maximum(1RM)strength.For training volume,a 2×5(group×week)repeated measures analysis of variance(RMANOVA)was used.For the 1RM’s,a 2×2×2(group×press type×time)RMANOVA was used.A priori alpha levels were set to 0.05.Results Over time,both groups showed an approximate 6%increase in 1RM strength.Training volume for week 4 was 5.6%less than week 5,but was not different from weeks 1 through 3.No between-group differences were observed for 1RM strength or training volume.Conclusion This results of this work indicates that 5 weeks of leg-drive training is effective in increasing 1RM strength,but was not more effective than standard bench press training.Practically,lifters should choose either lifting style based on personal preference.
