In this paper,we propose a novel approach to the multiple-sample testing problem using a studentized test statistic based on the random lifter technique.The method reformulates the classical Ksample test as an indepen...In this paper,we propose a novel approach to the multiple-sample testing problem using a studentized test statistic based on the random lifter technique.The method reformulates the classical Ksample test as an independence test between two random variables,enabling more efficient handling of complex data types.We solve problems with the non-standard normal limiting distributions of degenerate U-statistics using a random lifter approach.This creates a test statistic that is asymptotically normal under the null hypothesis.Numerous simulations and real-world applications have demonstrated that our method performs well with many data types,including Euclidean,directional,and symmetric positive definite data.It is also very good at controlling Type I errors.Our method also shows significant computational efficiency,outperforming existing K-sample tests,particularly when applied to large datasets.These results suggest that the proposed method is a powerful and practical solution for multiple-sample testing in complex data scenarios.展开更多
The pulse condition is an important basis for diagnosis and treatment intraditional Chinese medicine. From ancient times, Chinese physicians have been ableto make out the pathological changes of the nine organs by pul...The pulse condition is an important basis for diagnosis and treatment intraditional Chinese medicine. From ancient times, Chinese physicians have been ableto make out the pathological changes of the nine organs by pulse-feeling andpalpation, based on the theory that the pathological mystique lies in the pulsecondition. Chinese physicians have obtained and identified all along the pulsecondition by their finger tips, so there have been inevitably many subjective factors展开更多
The internal circulation rotating packed beds(IN-RPBs)have been widely used in multiphase systems.However,its key component's liquid lifter suffers from the liquid lifting rate(QL),limiting the micro-mixing and ma...The internal circulation rotating packed beds(IN-RPBs)have been widely used in multiphase systems.However,its key component's liquid lifter suffers from the liquid lifting rate(QL),limiting the micro-mixing and mass transfer efficiency.In this study,the fluid motion inside the conventional lifter was theoretically analyzed.Based on the above theoretical analysis,a new impeller-equipped lifter was innovatively designed for the IN-RPB to enhance QL.Experiment results showed that QL was increased by 100%at 1400 r/min within the impeller-equipped lifter.Numerical simulations demonstrated that the flow field was altered in the impeller-equipped lifter,promoting the generation of vortices,thereby increasing the QL.Mass transfer experiments demonstrated that the structure optimization of the lifter led to a 60%increase in the gas-liquid volumetric mass transfer coefficient(kLa).This study provides a basis for the industrialization of the IN-RPB with an impeller-equipped lifter.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.12231017,72171216,71921001 and 71991474)the National Key R&D Program of China(Grant No.2022YFA1003803)supported by National Natural Science Foundation of China(Grant Nos.71873128 and 72293573).
文摘In this paper,we propose a novel approach to the multiple-sample testing problem using a studentized test statistic based on the random lifter technique.The method reformulates the classical Ksample test as an independence test between two random variables,enabling more efficient handling of complex data types.We solve problems with the non-standard normal limiting distributions of degenerate U-statistics using a random lifter approach.This creates a test statistic that is asymptotically normal under the null hypothesis.Numerous simulations and real-world applications have demonstrated that our method performs well with many data types,including Euclidean,directional,and symmetric positive definite data.It is also very good at controlling Type I errors.Our method also shows significant computational efficiency,outperforming existing K-sample tests,particularly when applied to large datasets.These results suggest that the proposed method is a powerful and practical solution for multiple-sample testing in complex data scenarios.
基金Project supported by the National Natural Science Foundation of China.
文摘The pulse condition is an important basis for diagnosis and treatment intraditional Chinese medicine. From ancient times, Chinese physicians have been ableto make out the pathological changes of the nine organs by pulse-feeling andpalpation, based on the theory that the pathological mystique lies in the pulsecondition. Chinese physicians have obtained and identified all along the pulsecondition by their finger tips, so there have been inevitably many subjective factors
基金supported by the National Natural Science Foundation of China(Nos.22378011 and 22288102)the National Key Research and Development Program of China(No.2022YFA1504401).
文摘The internal circulation rotating packed beds(IN-RPBs)have been widely used in multiphase systems.However,its key component's liquid lifter suffers from the liquid lifting rate(QL),limiting the micro-mixing and mass transfer efficiency.In this study,the fluid motion inside the conventional lifter was theoretically analyzed.Based on the above theoretical analysis,a new impeller-equipped lifter was innovatively designed for the IN-RPB to enhance QL.Experiment results showed that QL was increased by 100%at 1400 r/min within the impeller-equipped lifter.Numerical simulations demonstrated that the flow field was altered in the impeller-equipped lifter,promoting the generation of vortices,thereby increasing the QL.Mass transfer experiments demonstrated that the structure optimization of the lifter led to a 60%increase in the gas-liquid volumetric mass transfer coefficient(kLa).This study provides a basis for the industrialization of the IN-RPB with an impeller-equipped lifter.
