The notion of absolutely clean N-complexes is studied.We show that an N-complex X is absolutely clean if and only if X is Nexact and Z,(X)is an absolutely clean module for each n e Z and i=1,2,..,N.In particular,we pr...The notion of absolutely clean N-complexes is studied.We show that an N-complex X is absolutely clean if and only if X is Nexact and Z,(X)is an absolutely clean module for each n e Z and i=1,2,..,N.In particular,we prove that a bounded above N-complex X is absolutely clean if and only if X,is an absolutely clean module for each n e Z.We also show that under certain hypotheses,an Ncomplex X is Gorenstein AC-injective if and only if Z;(X)is a Gorenstein AC-injective module for each n e Z and t=1,2,.,N.展开更多
We first introduce the concepts of absolutely E-pure modules and E-pure split modules. Then, we characterize the IF rings in terms of absolutely E-pure modules. The E-pure split modules are also characterized.
Entanglement-breaking(EB)subspaces determine the additivity of entanglement of formation(EOF),which is a long-standing issue in quantum information.We explicitly construct the twodimensional EB subspaces of any bipart...Entanglement-breaking(EB)subspaces determine the additivity of entanglement of formation(EOF),which is a long-standing issue in quantum information.We explicitly construct the twodimensional EB subspaces of any bipartite system,when system dimensions are equal,and we apply the subspaces to construct EB spaces of arbitrary dimensions.We also present partial construction when system dimensions are different.Then,we present the notion and properties of EB subspaces for some systems,and in particular the absolute EB subspaces.We construct some examples of absolute EB subspaces,as well as EB subspaces for some systems by using multiqubit Dicke states.展开更多
The optical frequency comb has been widely used in precision measurement. In this study, a multi-peak fitting approach is first proposed to fit the two-photon transition spectrum which overlaps with the neighboring tr...The optical frequency comb has been widely used in precision measurement. In this study, a multi-peak fitting approach is first proposed to fit the two-photon transition spectrum which overlaps with the neighboring transition in Rb-87. The multi-peak fitting approach is used to eliminate the frequency shift affected by the neighboring transition. With locking the carrier envelope offset frequency at 1/4 repetition frequency, the transition frequency is measured to be 770569132739.9 +/- 5.8 kHz, which agrees well with the previous result recommended by Comite International des Poids et Mesures.展开更多
In this paper, we first discuss the methods of comparing two special absolutely convergentsine series, sinnx and sinnx. We state the theorem in.one dimensional case as follows; Theorem. Let be convergent series with n...In this paper, we first discuss the methods of comparing two special absolutely convergentsine series, sinnx and sinnx. We state the theorem in.one dimensional case as follows; Theorem. Let be convergent series with nonnegative terms. SupposeThen for all x∈[0,π]If, in addition, then展开更多
The Absolutely True Diary of a Part-Time Indian is a 2007 National Book Award novel for young adults by Sherman Alexie. Inspired by his own experiences of growing up, award-winning author Sherman Alexie chronicles the...The Absolutely True Diary of a Part-Time Indian is a 2007 National Book Award novel for young adults by Sherman Alexie. Inspired by his own experiences of growing up, award-winning author Sherman Alexie chronicles the contemporary adolescence of one unlucky boy trying to rise above the life everyone expects him to live. As a bildungsroman, the novel honestly depicts the real life in reservation as well as protagonist Arnold＇s personal development in misfortune. The novel addresses various themes. Through close reading of the novel and with the help of some theories from postcolonial criticism, the present paper tries to analyze the bleak reality of reservation life and protagonist Arnold＇s struggle for social success, thus interpreting the themes of othering, alienation, unhomeliness, double consciousness, and hope presented in the novel展开更多
It is proved that if μ and v be finite measures on a measurable space (X, S) and v is absolutely continuous with respect to v, then it is holds that L(* S, * μ) L(* S, *v), while L(*S, *μ) and L(*S, V) are the Loeb...It is proved that if μ and v be finite measures on a measurable space (X, S) and v is absolutely continuous with respect to v, then it is holds that L(* S, * μ) L(* S, *v), while L(*S, *μ) and L(*S, V) are the Loeb algebras with respect to measure spaces (X, S,μ) and (X,S,v).展开更多
We develop a rapid and convenient experimental method of absolutely calibrating the transmission of an x-ray flatresponse filter.The calibration experiment is performed on a small laser-target facility,and a set of hi...We develop a rapid and convenient experimental method of absolutely calibrating the transmission of an x-ray flatresponse filter.The calibration experiment is performed on a small laser-target facility,and a set of high resolution holographic flat-field grating spectrometers is used as a discrimination system of the laser-produced x-ray source.Given that the holographic flat-field grating has a relatively large width,the grating is divided into two regions for use in that direction,where one region has the filter added and the other region does not.The filter transmission is determined by dividing the x-ray signal counts detected when the filter is in the line of sight by those detected when the filter is out of the line of sight.We find that the calibration results of this experiment agree with the calibration results using a synchrotron radiation source,as well as simulation results.Our method is not only highly reliable but also rapid and convenient.展开更多
In this paper,we propose an absolutely stabilized mixed virtual element method(mixed VEM)for the incompressible Stokes equations.We employ the C0-conforming virtual element space for the velocity and discontinuous pol...In this paper,we propose an absolutely stabilized mixed virtual element method(mixed VEM)for the incompressible Stokes equations.We employ the C0-conforming virtual element space for the velocity and discontinuous polynomial space for the pressure.The velocity-pressure pair contains“arbitrary-order”polynomials,and stability is guaranteed by the“absolutely stabilized finite element formulation”originally introduced in[21].We establish error estimates in the energy norm for both velocity and pressure,as well as an L^(2)-error estimate for the velocity.Several numerical experiments validate the theoretical analysis.展开更多
The exit measures of super-Brownian motions with branching mechanism $\psi (z) = z^\alpha ,1< \alpha \leqslant 2$ from a bounded smooth domain D in ?d+1 are known to be absolutely continuous with respect to the sur...The exit measures of super-Brownian motions with branching mechanism $\psi (z) = z^\alpha ,1< \alpha \leqslant 2$ from a bounded smooth domain D in ?d+1 are known to be absolutely continuous with respect to the surface area on ?D if $d< \frac{2}{{a - 1}}$ whereas in the case $d > 1 + \frac{2}{{a - 1}}$ they are singular. However, if the branching is restricted to a singular hyperplane, it is proved that they have absolutely continuous states for alld≥1.展开更多
The single-valued representation of measurable and continuous set-valued map-pings have been discussed in many papers. In this paper we discuss absolutely continuous single-valued representation of absolutely continuo...The single-valued representation of measurable and continuous set-valued map-pings have been discussed in many papers. In this paper we discuss absolutely continuous single-valued representation of absolutely continuous set-valued mappings using the method of constructing polygonal lines.展开更多
This study establishes and validates a method for the precise quantification of aquatic microbial loads using microbial diversity absolute quantitative sequencing.By adding synthetic spike-in DNA to water samples from...This study establishes and validates a method for the precise quantification of aquatic microbial loads using microbial diversity absolute quantitative sequencing.By adding synthetic spike-in DNA to water samples from the Dahei River prior to DNA extraction and 16S rRNA gene sequencing,it generates standard curves to convert sequencing data into absolute microbial copy numbers.The method,which is proved highly accurate(R^(2)>0.99),reveals a clear contrast between the river sites:the upstream community has not only a significantly higher total microbial load but also a completely different makeup of species compared to the downstream site.This approach effectively overcomes the limitations of relative abundance analysis,providing a powerful tool for environmental monitoring,and proposes key steps for future standardization to ensure data comparability and integration.展开更多
Owing to their intricate molecular frameworks and copious chiral centers,the structural identification and configurational assignment of natural products are challenging tasks.Comprehensive spectral data analysis is c...Owing to their intricate molecular frameworks and copious chiral centers,the structural identification and configurational assignment of natural products are challenging tasks.Comprehensive spectral data analysis is crucial for the confirmation of absolute configurations.Ignoring critical parameters will lead to false structure,which may confuse the total synthesis and drug development.Herein,the configurations of seven heterogeneous Pallavicinia diterpenoids(PDs) isolated from Pallavicinia liverworts are revised using a combination of single-crystal X-ray diffraction and electronic circular dichroism(ECD) calculations.Meanwhile,identification of five unprecedented PD heterodimers PD-dimers A-E(18-22) along with eleven previously undescribed PDs(5-9,13-17,23) obtained by the reinvestigation of the Chinese liverwort Pallavicinia subciliata have resulted in corrections and support the revised conclusions.展开更多
The hose-drogue system is a common method for soft aerial refueling,whereby the refueling tanker tows the drogue through the hose.In this paper,a mathematical-physical model of the hose-drogue system is developed and ...The hose-drogue system is a common method for soft aerial refueling,whereby the refueling tanker tows the drogue through the hose.In this paper,a mathematical-physical model of the hose-drogue system is developed and simulated using the Absolute Nodal Coordinate Formulation(ANCF)finite element method.A numerical solution program based on ANCF and ALE(Arbitrary Eulerian-Lagrange)-ANCF method was developed to simulate and analyze the horizontal and elongation release processes of the hose-drogue system at different towing points(underneath the wing and the belly of the aircraft).This program was developed by introducing an ALE description.The numerical solution program,developed based on the ANCF and ALE-ANCF methods,represents a significant advancement in computational efficiency for the rigid-flexible coupled multibody system of the air refueling hose-drogue system.This program can provide a valuable reference for the qualitative design of the hose-drogue multibody system in soft air refueling,while maintaining the necessary accuracy.展开更多
The impact of Mn addition on the microstructure,mechanical properties and corrosion behavior of T6-treated Al−Si−Mg−xMn(x=0.2−1.0 wt.%)alloys in a 3.5 wt.%NaCl solution was investigated.The results showed that adding ...The impact of Mn addition on the microstructure,mechanical properties and corrosion behavior of T6-treated Al−Si−Mg−xMn(x=0.2−1.0 wt.%)alloys in a 3.5 wt.%NaCl solution was investigated.The results showed that adding 0.2 wt.%Mn to T6-treated Al−Si−Mg alloys enhanced the corrosion resistance by promoting the formation ofα-AlFeMnSi phase,characterized by smaller absolute Volta potential values compared to eutectic Si,β-AlFeSi andπ-AlFeMgSi phases.However,the addition of 0.5 wt.%Mn and 1.0 wt.%Mn to the T6-treated Al−Si−Mg alloys increased the size of theα-AlFeMnSi phase.This decreased the properties of T6-treated Al−Si−Mg alloys.Therefore,the optimum Mn content was 0.2 wt.%,providing a novel approach for synergistically enhancing mechanical properties and corrosion resistance of Al−Si−Mg alloys.展开更多
基金Supported by the National Natural Science Foundation of China (12061061)Fundamental Research Funds for the Central Universities (31920230173)+1 种基金Longyuan Young Talents of Gansu ProvinceYoung Talents Team Project of Gansu Province (2025QNTD49)。
文摘The notion of absolutely clean N-complexes is studied.We show that an N-complex X is absolutely clean if and only if X is Nexact and Z,(X)is an absolutely clean module for each n e Z and i=1,2,..,N.In particular,we prove that a bounded above N-complex X is absolutely clean if and only if X,is an absolutely clean module for each n e Z.We also show that under certain hypotheses,an Ncomplex X is Gorenstein AC-injective if and only if Z;(X)is a Gorenstein AC-injective module for each n e Z and t=1,2,.,N.
文摘We first introduce the concepts of absolutely E-pure modules and E-pure split modules. Then, we characterize the IF rings in terms of absolutely E-pure modules. The E-pure split modules are also characterized.
文摘Entanglement-breaking(EB)subspaces determine the additivity of entanglement of formation(EOF),which is a long-standing issue in quantum information.We explicitly construct the twodimensional EB subspaces of any bipartite system,when system dimensions are equal,and we apply the subspaces to construct EB spaces of arbitrary dimensions.We also present partial construction when system dimensions are different.Then,we present the notion and properties of EB subspaces for some systems,and in particular the absolute EB subspaces.We construct some examples of absolute EB subspaces,as well as EB subspaces for some systems by using multiqubit Dicke states.
基金Supported by the National Natural Science Foundation of China under Grant Nos 91336103,10934010 and 61078026
文摘The optical frequency comb has been widely used in precision measurement. In this study, a multi-peak fitting approach is first proposed to fit the two-photon transition spectrum which overlaps with the neighboring transition in Rb-87. The multi-peak fitting approach is used to eliminate the frequency shift affected by the neighboring transition. With locking the carrier envelope offset frequency at 1/4 repetition frequency, the transition frequency is measured to be 770569132739.9 +/- 5.8 kHz, which agrees well with the previous result recommended by Comite International des Poids et Mesures.
文摘In this paper, we first discuss the methods of comparing two special absolutely convergentsine series, sinnx and sinnx. We state the theorem in.one dimensional case as follows; Theorem. Let be convergent series with nonnegative terms. SupposeThen for all x∈[0,π]If, in addition, then
文摘The Absolutely True Diary of a Part-Time Indian is a 2007 National Book Award novel for young adults by Sherman Alexie. Inspired by his own experiences of growing up, award-winning author Sherman Alexie chronicles the contemporary adolescence of one unlucky boy trying to rise above the life everyone expects him to live. As a bildungsroman, the novel honestly depicts the real life in reservation as well as protagonist Arnold＇s personal development in misfortune. The novel addresses various themes. Through close reading of the novel and with the help of some theories from postcolonial criticism, the present paper tries to analyze the bleak reality of reservation life and protagonist Arnold＇s struggle for social success, thus interpreting the themes of othering, alienation, unhomeliness, double consciousness, and hope presented in the novel
基金Supported by the Special Science Foundation of the Education Committee of Shaanxi Province(03jk066)
文摘It is proved that if μ and v be finite measures on a measurable space (X, S) and v is absolutely continuous with respect to v, then it is holds that L(* S, * μ) L(* S, *v), while L(*S, *μ) and L(*S, V) are the Loeb algebras with respect to measure spaces (X, S,μ) and (X,S,v).
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11405158 and 11775203)the Presidential Foundation of China Academy of Engineering Physics(Grant No.YZJJLX 2016007)
文摘We develop a rapid and convenient experimental method of absolutely calibrating the transmission of an x-ray flatresponse filter.The calibration experiment is performed on a small laser-target facility,and a set of high resolution holographic flat-field grating spectrometers is used as a discrimination system of the laser-produced x-ray source.Given that the holographic flat-field grating has a relatively large width,the grating is divided into two regions for use in that direction,where one region has the filter added and the other region does not.The filter transmission is determined by dividing the x-ray signal counts detected when the filter is in the line of sight by those detected when the filter is out of the line of sight.We find that the calibration results of this experiment agree with the calibration results using a synchrotron radiation source,as well as simulation results.Our method is not only highly reliable but also rapid and convenient.
基金supported by the National Natural Science Foundation of China(No.11971337).
文摘In this paper,we propose an absolutely stabilized mixed virtual element method(mixed VEM)for the incompressible Stokes equations.We employ the C0-conforming virtual element space for the velocity and discontinuous polynomial space for the pressure.The velocity-pressure pair contains“arbitrary-order”polynomials,and stability is guaranteed by the“absolutely stabilized finite element formulation”originally introduced in[21].We establish error estimates in the energy norm for both velocity and pressure,as well as an L^(2)-error estimate for the velocity.Several numerical experiments validate the theoretical analysis.
文摘The exit measures of super-Brownian motions with branching mechanism $\psi (z) = z^\alpha ,1< \alpha \leqslant 2$ from a bounded smooth domain D in ?d+1 are known to be absolutely continuous with respect to the surface area on ?D if $d< \frac{2}{{a - 1}}$ whereas in the case $d > 1 + \frac{2}{{a - 1}}$ they are singular. However, if the branching is restricted to a singular hyperplane, it is proved that they have absolutely continuous states for alld≥1.
文摘The single-valued representation of measurable and continuous set-valued map-pings have been discussed in many papers. In this paper we discuss absolutely continuous single-valued representation of absolutely continuous set-valued mappings using the method of constructing polygonal lines.
基金supported by the National Natural Science Foundation of China(Grant No.32160172)the Key Science-Technology Project of Inner Mongolia(2023KYPT0010)+1 种基金the Natural Science Foundation of Inner Mongolia Autonomous Region of China(Grant No.2025QN03006)the 2023 Inner Mongolia Public Institution High-level Talent Introduction Scientific Research Support Project.
文摘This study establishes and validates a method for the precise quantification of aquatic microbial loads using microbial diversity absolute quantitative sequencing.By adding synthetic spike-in DNA to water samples from the Dahei River prior to DNA extraction and 16S rRNA gene sequencing,it generates standard curves to convert sequencing data into absolute microbial copy numbers.The method,which is proved highly accurate(R^(2)>0.99),reveals a clear contrast between the river sites:the upstream community has not only a significantly higher total microbial load but also a completely different makeup of species compared to the downstream site.This approach effectively overcomes the limitations of relative abundance analysis,providing a powerful tool for environmental monitoring,and proposes key steps for future standardization to ensure data comparability and integration.
基金supported by the National Natural Science Foundation of China (Nos.82293682,82293684,and 82173703)。
文摘Owing to their intricate molecular frameworks and copious chiral centers,the structural identification and configurational assignment of natural products are challenging tasks.Comprehensive spectral data analysis is crucial for the confirmation of absolute configurations.Ignoring critical parameters will lead to false structure,which may confuse the total synthesis and drug development.Herein,the configurations of seven heterogeneous Pallavicinia diterpenoids(PDs) isolated from Pallavicinia liverworts are revised using a combination of single-crystal X-ray diffraction and electronic circular dichroism(ECD) calculations.Meanwhile,identification of five unprecedented PD heterodimers PD-dimers A-E(18-22) along with eleven previously undescribed PDs(5-9,13-17,23) obtained by the reinvestigation of the Chinese liverwort Pallavicinia subciliata have resulted in corrections and support the revised conclusions.
基金the support from the National Natural Science Foundation of China(No.52472384)the Fundamental Research Funds for the Central Universities,China(No.G2024KY0615)+1 种基金sponsored by the Foundations of National Key Laboratory of Unmanned Aerial Vehicle Technology in NPU,(No.WR202411-2)the National Key Laboratory of Aircraft Configuration Design,China(No.JBGS-2024-01)。
文摘The hose-drogue system is a common method for soft aerial refueling,whereby the refueling tanker tows the drogue through the hose.In this paper,a mathematical-physical model of the hose-drogue system is developed and simulated using the Absolute Nodal Coordinate Formulation(ANCF)finite element method.A numerical solution program based on ANCF and ALE(Arbitrary Eulerian-Lagrange)-ANCF method was developed to simulate and analyze the horizontal and elongation release processes of the hose-drogue system at different towing points(underneath the wing and the belly of the aircraft).This program was developed by introducing an ALE description.The numerical solution program,developed based on the ANCF and ALE-ANCF methods,represents a significant advancement in computational efficiency for the rigid-flexible coupled multibody system of the air refueling hose-drogue system.This program can provide a valuable reference for the qualitative design of the hose-drogue multibody system in soft air refueling,while maintaining the necessary accuracy.
基金supported by the National Key Research and Development Program of China(No.2022YFB3404202)the National Natural Science Foundation of China(No.52271103)the Jilin Scientific and Technological Development Program,China(Nos.20220301026GX,20210301041GX)。
文摘The impact of Mn addition on the microstructure,mechanical properties and corrosion behavior of T6-treated Al−Si−Mg−xMn(x=0.2−1.0 wt.%)alloys in a 3.5 wt.%NaCl solution was investigated.The results showed that adding 0.2 wt.%Mn to T6-treated Al−Si−Mg alloys enhanced the corrosion resistance by promoting the formation ofα-AlFeMnSi phase,characterized by smaller absolute Volta potential values compared to eutectic Si,β-AlFeSi andπ-AlFeMgSi phases.However,the addition of 0.5 wt.%Mn and 1.0 wt.%Mn to the T6-treated Al−Si−Mg alloys increased the size of theα-AlFeMnSi phase.This decreased the properties of T6-treated Al−Si−Mg alloys.Therefore,the optimum Mn content was 0.2 wt.%,providing a novel approach for synergistically enhancing mechanical properties and corrosion resistance of Al−Si−Mg alloys.
