In this paper, we studied the combined effect of concave and convex nonlinearities on the number of positive solutions for a semilinear elliptic system. We prove the existence of at least four positive solutions for a...In this paper, we studied the combined effect of concave and convex nonlinearities on the number of positive solutions for a semilinear elliptic system. We prove the existence of at least four positive solutions for a semilinear elliptic system involving concave and convex nonlinearities by using the Nehari manifold and the center mass function.展开更多
Mixed-effects models,also called random-effects models,are a regression type of analysis which enables the analyst to not only describe the trend over time within each subject,but also to describe the variation among ...Mixed-effects models,also called random-effects models,are a regression type of analysis which enables the analyst to not only describe the trend over time within each subject,but also to describe the variation among different subjects.Nonlinear mixed-effects models provide a powerful and flexible tool for handling the unbalanced count data.In this paper,nonlinear mixed-effects models are used to analyze the failure data from a repairable system with multiple copies.By using this type of models,statistical inferences about the population and all copies can be made when accounting for copy-to-copy variance.Results of fitting nonlinear mixed-effects models to nine failure-data sets show that the nonlinear mixed-effects models provide a useful tool for analyzing the failure data from multi-copy repairable systems.展开更多
The ever-decreasing size of transistors requires effectively electrostatic control over ultra-thin semiconductor body.Rational design of the gate configuration can fully persevere the intrinsic property of two-dimensi...The ever-decreasing size of transistors requires effectively electrostatic control over ultra-thin semiconductor body.Rational design of the gate configuration can fully persevere the intrinsic property of two-dimensional(2 D)semiconductors.Here we design and demonstrate a 2 D Mo S_(2) transistor with omega-shaped gate,in which the local gate coupling is enhanced by the non-planar geometry.The omega-shaped non-planar transistors exhibit a high current of 0.89 A/lm and transconductance of32.7 l S/lm.The high performance and desirable current saturation promise the construction of robust logic gate.The inverters show a voltage gain of 26.6 and an ideal total margin nearly 89%.We also assemble NOT-AND(NAND)gate on an individual Mo S_(2) flake,and the constructed NAND gate demonstrates the universal functionality of the transistors as well.This work provides an alternative strategy to fully take the advantages of 2 D materials for high-performance field-effect transistors.展开更多
文摘In this paper, we studied the combined effect of concave and convex nonlinearities on the number of positive solutions for a semilinear elliptic system. We prove the existence of at least four positive solutions for a semilinear elliptic system involving concave and convex nonlinearities by using the Nehari manifold and the center mass function.
文摘Mixed-effects models,also called random-effects models,are a regression type of analysis which enables the analyst to not only describe the trend over time within each subject,but also to describe the variation among different subjects.Nonlinear mixed-effects models provide a powerful and flexible tool for handling the unbalanced count data.In this paper,nonlinear mixed-effects models are used to analyze the failure data from a repairable system with multiple copies.By using this type of models,statistical inferences about the population and all copies can be made when accounting for copy-to-copy variance.Results of fitting nonlinear mixed-effects models to nine failure-data sets show that the nonlinear mixed-effects models provide a useful tool for analyzing the failure data from multi-copy repairable systems.
基金supported by the National Key Research and Development Program of China(2018YFA0703704 and2018YFB0406603)China National Funds for Distinguished Young Scientists(61925403)+2 种基金the National Natural Science Foundation of China(61851403,51872084,61704052,61811540408,and61704051)the Strategic Priority Research Program of Chinese Academy of Sciences(XDB30000000)in partly by the Key Research and Development Plan of Hunan Province(2018GK2064)。
文摘The ever-decreasing size of transistors requires effectively electrostatic control over ultra-thin semiconductor body.Rational design of the gate configuration can fully persevere the intrinsic property of two-dimensional(2 D)semiconductors.Here we design and demonstrate a 2 D Mo S_(2) transistor with omega-shaped gate,in which the local gate coupling is enhanced by the non-planar geometry.The omega-shaped non-planar transistors exhibit a high current of 0.89 A/lm and transconductance of32.7 l S/lm.The high performance and desirable current saturation promise the construction of robust logic gate.The inverters show a voltage gain of 26.6 and an ideal total margin nearly 89%.We also assemble NOT-AND(NAND)gate on an individual Mo S_(2) flake,and the constructed NAND gate demonstrates the universal functionality of the transistors as well.This work provides an alternative strategy to fully take the advantages of 2 D materials for high-performance field-effect transistors.
