Ultra-thick,dense alloy-type anodes are promising for achieving large areal and volumetric performance in potassium-ion batteries(PIBs),but severe volume expansion as well as sluggish ion and electron diffusion kineti...Ultra-thick,dense alloy-type anodes are promising for achieving large areal and volumetric performance in potassium-ion batteries(PIBs),but severe volume expansion as well as sluggish ion and electron diffusion kinetics heavily impede their widespread application.Herein,we design highly dense(3.1 g cm^(-3))Ti_(3)C_(2)T_(x) MXene and graphene dual-encapsulated nano-Sb monolith architectures(HD-Sb@Ti_(3)C_(2)T_(x)-G)with high-conductivity elastic networks(1560 S m^(-1))and compact dually encapsulated structures,which exhibit a large volumetric capacity of 1780.2 mAh cm^(-3)(gravimetric capacity:565.0 mAh g^(-1)),a long-term stable lifespan of 500 cycles with 82%retention,and a large areal capacity of 8.6 mAh cm^(-2)(loading:31 mg cm^(-2))in PIBs.Using ex-situ SEM,in-situ TEM,kinetic investigations,and theoretical calculations,we reveal that the excellent areal and volumetric performance mechanism stems from the three dimensional(3D)high-conductivity elastic networks and the dualencapsulated Sb architecture of Ti_(3)C_(2)T_(x) and graphene;these effectively mitigate against volume expansion and the pulverization of Sb,offering good electrolyte penetration and rapid ionic/electronic transmission.Ti_(3)C_(2)T_(x) also decreases the Kþdiffusion energy barrier,and the ultra-thick compact electrode ensures volumetric and areal performance.These findings provide a feasible strategy for fabricating ultra-thick,dense alloy-type electrodes to achieve high areal and volumetric capacity energy storage via highly-dense,dual-encapsulated architectures with conductive elastic networks.展开更多
The development of microenvironment-responsive nanoprobes has shown great promise for use in magnetic resonance imaging(MRI),with the advantage of significantly improved specificity and good biocompatibility.However,t...The development of microenvironment-responsive nanoprobes has shown great promise for use in magnetic resonance imaging(MRI),with the advantage of significantly improved specificity and good biocompatibility.However,the clinical application of responsive probes is hampered by a lack of biological sensitivity for early molecular diagnostics and visualizing microenvionment of metabolism reprogramming in tumor progression.Here,we report on a dual-ratiometric magnetic resonance tunable(DMRT)nanoprobe designed by crosslinking different ratios of transferrin chelating gadolinium and superparamagnetic nanoparticles,complexed to a pH responsive biocompatible polymer.This dually activatable nanoprobe enables pH-dependent tumor microenvironment visualization,providing exceptional quantitative pathophysiological information in vitro and in vivo.When used in combination with dual-contrast enhancement triple subtraction imaging technique(DETSI),this smart nanoprobe guarantees the diagnosis of early-stage diseases.We envisage that this novel integrated nanoplatform will provide a new paradigm for the clinical translation of robust DMRT nanoprobes for early disease detection and staging,as well as microenvironment visualization and disease progression monitoring.展开更多
It is shown that the dual bialgebra of any quasitriangular bialgebra is braided, and the dual bialgebra of some braided bialgebra is quasitriangular.Also it is proved that every nondegenerate finite dimensional braid...It is shown that the dual bialgebra of any quasitriangular bialgebra is braided, and the dual bialgebra of some braided bialgebra is quasitriangular.Also it is proved that every nondegenerate finite dimensional braided (dually, quasitriangular) bialgebra has an antipode.展开更多
In this article, a class of Mantel-Haenszel type estimators of hazard ratios in proportional hazards model is presented for simple nested case-control study. The estimators have the form of the Mantel-Haenszel estimat...In this article, a class of Mantel-Haenszel type estimators of hazard ratios in proportional hazards model is presented for simple nested case-control study. The estimators have the form of the Mantel-Haenszel estimator of odds ratios, and it is shown that the estimators are dually cousistent, and asymptotically normal. Dually consistently estimated covariance matrices of the proposed estimators are also developed. An example is given to illustrate the estimators.展开更多
Dually flat Finsler metrics arise from information geometry which has attracted some geometers and statisticians. In this paper, we study dually flat general spherically symmetric Finsler metrics which are defined by ...Dually flat Finsler metrics arise from information geometry which has attracted some geometers and statisticians. In this paper, we study dually flat general spherically symmetric Finsler metrics which are defined by a Euclidean metric and two related 1-forms. We give the equivalent conditions for those metrics to be locally dually flat. By solving the equivalent equations, a group of new locally dually flat Finsler metrics is constructed.展开更多
基金supported by the National Natural Science Foundation of China (Nos.51972066,52122211,52072323)the Natural Science Foundation of Guangdong Province of China (No.2021A1515011718)+1 种基金the Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme (2017)Nanqiang Young Top-notch Talent Fellowship in Xiamen University.
文摘Ultra-thick,dense alloy-type anodes are promising for achieving large areal and volumetric performance in potassium-ion batteries(PIBs),but severe volume expansion as well as sluggish ion and electron diffusion kinetics heavily impede their widespread application.Herein,we design highly dense(3.1 g cm^(-3))Ti_(3)C_(2)T_(x) MXene and graphene dual-encapsulated nano-Sb monolith architectures(HD-Sb@Ti_(3)C_(2)T_(x)-G)with high-conductivity elastic networks(1560 S m^(-1))and compact dually encapsulated structures,which exhibit a large volumetric capacity of 1780.2 mAh cm^(-3)(gravimetric capacity:565.0 mAh g^(-1)),a long-term stable lifespan of 500 cycles with 82%retention,and a large areal capacity of 8.6 mAh cm^(-2)(loading:31 mg cm^(-2))in PIBs.Using ex-situ SEM,in-situ TEM,kinetic investigations,and theoretical calculations,we reveal that the excellent areal and volumetric performance mechanism stems from the three dimensional(3D)high-conductivity elastic networks and the dualencapsulated Sb architecture of Ti_(3)C_(2)T_(x) and graphene;these effectively mitigate against volume expansion and the pulverization of Sb,offering good electrolyte penetration and rapid ionic/electronic transmission.Ti_(3)C_(2)T_(x) also decreases the Kþdiffusion energy barrier,and the ultra-thick compact electrode ensures volumetric and areal performance.These findings provide a feasible strategy for fabricating ultra-thick,dense alloy-type electrodes to achieve high areal and volumetric capacity energy storage via highly-dense,dual-encapsulated architectures with conductive elastic networks.
基金This work was supported by the National Natural Science Foundation of China(Nos.81971664 and 82272057)the Shanghai Pujiang Program(No.2019PJD044).
文摘The development of microenvironment-responsive nanoprobes has shown great promise for use in magnetic resonance imaging(MRI),with the advantage of significantly improved specificity and good biocompatibility.However,the clinical application of responsive probes is hampered by a lack of biological sensitivity for early molecular diagnostics and visualizing microenvionment of metabolism reprogramming in tumor progression.Here,we report on a dual-ratiometric magnetic resonance tunable(DMRT)nanoprobe designed by crosslinking different ratios of transferrin chelating gadolinium and superparamagnetic nanoparticles,complexed to a pH responsive biocompatible polymer.This dually activatable nanoprobe enables pH-dependent tumor microenvironment visualization,providing exceptional quantitative pathophysiological information in vitro and in vivo.When used in combination with dual-contrast enhancement triple subtraction imaging technique(DETSI),this smart nanoprobe guarantees the diagnosis of early-stage diseases.We envisage that this novel integrated nanoplatform will provide a new paradigm for the clinical translation of robust DMRT nanoprobes for early disease detection and staging,as well as microenvironment visualization and disease progression monitoring.
文摘It is shown that the dual bialgebra of any quasitriangular bialgebra is braided, and the dual bialgebra of some braided bialgebra is quasitriangular.Also it is proved that every nondegenerate finite dimensional braided (dually, quasitriangular) bialgebra has an antipode.
基金Education Ministry Fund For Returned Students and Beijing Natural ScienceFoundation.
文摘In this article, a class of Mantel-Haenszel type estimators of hazard ratios in proportional hazards model is presented for simple nested case-control study. The estimators have the form of the Mantel-Haenszel estimator of odds ratios, and it is shown that the estimators are dually cousistent, and asymptotically normal. Dually consistently estimated covariance matrices of the proposed estimators are also developed. An example is given to illustrate the estimators.
基金supported by National Natural Science Foundation of China (Grant No. 11371209)K. C. Wong Magna Fund in Ningbo University
文摘Dually flat Finsler metrics arise from information geometry which has attracted some geometers and statisticians. In this paper, we study dually flat general spherically symmetric Finsler metrics which are defined by a Euclidean metric and two related 1-forms. We give the equivalent conditions for those metrics to be locally dually flat. By solving the equivalent equations, a group of new locally dually flat Finsler metrics is constructed.
