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Natural climate solutions.The way forward 认领 引用 被引量：3
1
作者 Caichun Yin Paulo Pereira +1 位作者 Wenwu Zhao Damia Barcelo 《Geography and Sustainability》 CSCD 2023年第2期179-182,共4页
Climate change is a global challenge that threatens global ecological security and sustainable development.Find-ing ways to mitigate their impacts is paramount through engineering carbon storage,low-carbon energy tran... Climate change is a global challenge that threatens global ecological security and sustainable development.Find-ing ways to mitigate their impacts is paramount through engineering carbon storage,low-carbon energy tran-sition,or natural climate solutions(NCS).NCS involve a set of measures(e.g.,afforestation,land restoration,biochar reuse or sustainable land use practices).Implementing NCS increases carbon sequestration and mitigates climate change at the lowest costs and greenest ways.In addition,NCS practices can improve multiple ecosystem services(ES)such as air quality,flood and erosion regulation,pest control,water purification,wild food biomass,recreation or landscape aesthetics.However,unsustainable implementation of NCS,such as over-afforestation of dense mono-forest,can lead to tradeoffs with water supply,wildfire risk,and decreased grasslands and crop-lands.Therefore,to optimise the NCS implementation,reducing the tradeoffs associated and transforming the“expand ecosystem area”to“improve ecosystem management efficiency”is vital.Although NCS can contribute significantly to mitigating climate change,systematic climate actions must be accompanied by a transformation in the global society and investment in new technologies.This will be key to addressing global challenges such as the achievement of Sustainable Development Goals(SDGs),such as SDG 13(Climate Action),SDG 15(Life on Land),SDG 2(Zero Hunger),SDG 3(Good Health and Wellbeing),SDG 6(Clean Water and Sanitation),and SDG 14(Life Bellow Water). 展开更多
关键词 Natural climate solutions Climate mitigation Ecosystem services Tradeoffs Sustainable Development Goals
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ZTE GSM exPower SOLUTIONS. INCREASE YOUR BUSINESS SUCCESS BY REDUCING YOUR TCO. 认领 引用
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《ZTE Communications》 2007年第2期68-68,共1页
ZTE’s cost-effective GSM solutions provide world class service to over 70 million subscribers in more than 30
关键词 GSM ZTE GSM exPower SOLUTIONS.INCREASE YOUR BUSINESS SUCCESS BY REDUCING YOUR TCO BTS TCO
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美国国家半导体推出Solutions.National.com网站 认领 引用
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《电子测试》 2003年第7期126-127,共2页
关键词 美国国家半导体公司 Solutions.National.com网站 WEBENCH4.0软件 开关稳压器
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Quantum-Mechanical Information Content of Multiples Hartree-Fock Solutions. The Multi-Reference Hartree-Fock Configuration Interaction Method 认领 引用
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作者 Luiz Augusto Carvalho Malbouisson Antonio Moreira de Cerqueira Sobrinho Micael Dias de Andrade 《Journal of Modern Physics》 2014年第7期543-548,共6页
The Hartree-Fock equation is non-linear and has, in principle, multiple solutions. The ωth HF extreme and its associated virtual spin-orbitals furnish an orthogonal base Bω of the full configuration interaction spac... The Hartree-Fock equation is non-linear and has, in principle, multiple solutions. The ωth HF extreme and its associated virtual spin-orbitals furnish an orthogonal base Bω of the full configuration interaction space. Although all Bω bases generate the same CI space, the corresponding configurations of each Bω base have distinct quantum-mechanical information contents. In previous works, we have introduced a multi-reference configuration interaction method, based on the multiple extremes of the Hartree-Fock problem. This method was applied to calculate the permanent electrical dipole and quadrupole moments of some small molecules using minimal and double, triple and polarized double-zeta bases. In all cases were possible, using a reduced number of configurations, to obtain dipole and quadrupole moments in close agreement with the experimental values and energies without compromising the energy of the state function. These results show the positive effect of the use of the multi-reference Hartree-Fock bases that allowed a better extraction of quantum mechanical information from the several Bω bases. But to extend these ideas for larger systems and atomic bases, it is necessary to develop criteria to build the multireference Hartree-Fock bases. In this project, we are beginning a study of the non-uniform distribution of quantum-mechanical information content of the Bω bases, searching identify the factors that allowed obtain the good results cited 展开更多
关键词 Multiple Hartree-Fock Solutions Quantum Mechanical Information Content Multi-Reference Hartre-Fock Configuration Interaction Method
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Hidden Properties of Mathematical Physics Equations. Double Solutions. The Realization of Integrable Structures. Emergence of Physical Structures and Observable Formations 认领 引用
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作者 L. I. Petrova 《Journal of Applied Mathematics and Physics》 2020年第7期1255-1262,共8页
With the help of skew-symmetric differential forms the hidden properties of the mathematical physics equations are revealed. It is shown that the equations of mathematical physics can describe the emergence of various... With the help of skew-symmetric differential forms the hidden properties of the mathematical physics equations are revealed. It is shown that the equations of mathematical physics can describe the emergence of various structures and formations such as waves, vortices, turbulent pulsations and others. Such properties of the mathematical physics equations, which are hidden (they appear only in the process of solving these equations), depend on the consistency of derivatives in partial differential equations and on the consistency of equations, if the equations of mathematical physics are a set of equations. This is due to the integrability of mathematical physics equations. It is shown that the equations of mathematical physics can have double solutions, namely, the solutions on the original coordinate space and the solutions on integrable structures that are realized discretely (due to any degrees of freedom). The transition from the solutions of the first type to one of the second type describes discrete transitions and the processes of origin of various structures and observable formations. Only mathematical physics equations, on what no additional conditions such as the integrability conditions are imposed, can possess such properties. The results of the present paper were obtained with the help of skew-symmetric differential forms. 展开更多
关键词 Integrability of Mathematical Physics Equations Double Solutions Integrable Structures Discrete Transitions Skew-Symmetric Differential Forms
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ZTE GSM exPower SOLUTIONS.INCREASE YOUR BUSINESS SUCCESS BY REDUCING YOUR TCO 认领 引用
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《ZTE Communications》 2007年第4期65-65,共1页
ZTE’s cost-effective GSM solutions provide world class service to over 70 million subscribers in more than 30 countries,and have helped us build strong partnerships with 12 of the world’s top thirty telecoms operators.
关键词 ZTE GSM exPower SOLUTIONS INCREASE YOUR BUSINESS SUCCESS BY REDUCING YOUR TCO GSM
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ZTE GSM exPower SOLUTIONS. INCREASE YOUR BUSINESS SUCCESS BY REDUCING YOUR TCO. 认领 引用
7
《ZTE Communications》 2007年第3期65-65,共1页
ZTE’s cost-effective GSM solutions provide world class service to over 70 million subscribers in more than 30 countries
关键词 GSM ZTE GSM exPower SOLUTIONS INCREASE YOUR BUSINESS SUCCESS BY REDUCING YOUR TCO
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Vision Sensing for Intelligent Driving:Technical Challenges and Innovative Solutions 认领 引用 被引量：1
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作者 Xinle Gong Zhihua Zhong 《Engineering》 SCIE EI CSCD 2026年第2期18-22,共5页
1.Introductio n With the rapid development of automotive intelligent technologies,in-vehicle vision sensors have gained traction as essential components of intelligent driving systems,providing critical road condition... 1.Introductio n With the rapid development of automotive intelligent technologies,in-vehicle vision sensors have gained traction as essential components of intelligent driving systems,providing critical road condition data,assisting driving decisions,and enabling autonomous driving functions.Compared with other in-vehicle perception sensors,vision sensors deliver more detailed and comprehensive environmental information,offering vital data to support intelligent driving decision-making and control[1].Therefore,the accuracy and reliability of visual perception directly influence the safety and performance of intelligent driving systems,making it a central factor in achieving truly intelligent and autonomous vehicles.Fig.1 illustrates the vision sensing in intelligent driving. 展开更多
关键词 innovative solutions vision sensing vision sensors intelligent driving systemsproviding vehicle vision sensors road condition autonomous driving intelligent driving
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Solutions of three-body problem based on an equivalent system approach 认领 引用 被引量：1
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作者 Jing Tang Xing 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第1期292-309,共18页
Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fund... Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fundamental bases of this paper,are revealed.Based on these findings,an equivalent system is developed,which is a 2-body system with its total mass,constant angular momentum,kinetic and potential energies same as the total ones of three relative motions,so that it can be solved using the well-known theory of the 2-body system.From the solution of an equivalent system with the revealed characteristics of three relative motions,the general theoretical solutions of the 3-body system are obtained in the curve-integration forms along the orbits in the imaged radial motion space.The possible periodical orbits with generalised Kepler’s law are presented.Following the description and mathematical demonstrations of the proposed methods,the examples including Euler’s/Lagrange’s problems,and a reported numerical one are solved to validate the proposed methods.The methods derived from the 3-body system are extended to N-body problems. 展开更多
关键词 Three-body problem Equivalent system with solutions Orbit-equation of a conic section Generalised reduced mass Chaotic motions Generalised Kepler’s law N-body problem
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The externally forced Boussinesq equation and its Wronskian and soliton-like solutions 认领 引用
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作者 Liyang Xu Xiaojun Yin +1 位作者 Na Cao Shuting Bai 《Communications in Theoretical Physics》 SCIE CAS CSCD 2026年第1期30-36,共7页
This study investigates the dimensionless quasi-geostrophic potential vorticity(QG-PV)equation with external sources.Employing the Gardner-Morikawa transformation and weakly nonlinear perturbation expansion,we derive ... This study investigates the dimensionless quasi-geostrophic potential vorticity(QG-PV)equation with external sources.Employing the Gardner-Morikawa transformation and weakly nonlinear perturbation expansion,we derive the nonlinear Boussinesq equation with external sources.We demonstrate the existence of explicit zero-order and first-order Wronskian solutions for the model equation whenα4=0.Furthermore,using a modified Jacobi elliptic function method,we obtain soliton-like solutions for bothα4=0 andα4≠0.Analysis of these solutions reveals that the generalizedβ-plane approximation and shear flow are significant factors in inducing nonlinear Rossby waves,and that external sources play a crucial role in influencing Rossby wave behavior. 展开更多
关键词 rossby waves boussinesq equation Wronskian solutions soliton-like solutions
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Emerging Chemical Hazards in Animal-Derived Foods:From Public Health to Detection and Control Solutions 认领 引用
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作者 Huijing Shen Xinyu Ge +2 位作者 Di Wu Shuang Zhou Yongning Wu 《China CDC weekly》 SCIE CSCD 2026年第24期758-763,共6页
Food safety systems are generally effective for known contaminants but are less prepared for chemical hazards that are not captured through routine monitoring.This challenge is particularly relevant for animal-derived... Food safety systems are generally effective for known contaminants but are less prepared for chemical hazards that are not captured through routine monitoring.This challenge is particularly relevant for animal-derived foods,where hazardous chemicals may enter and change along the production chain,hindering their detection and interpretation.This review discusses the origins of emerging chemical hazards in animal-derived foods,why they can be overlooked by conventional monitoring,and strategies for integrating detection with public health frameworks.Targeted methods remain essential but are less capable of capturing low-concentration,transformed,or unexpected compounds.When combined with suspect screening and confidence-based identification,high-resolution mass spectrometry can extend detection beyond predefined targets and improve the interpretation of unexpected chemical signals.For public health practice,the value of expanded detection lies not only in identifying more chemicals but also in determining which signals require confirmation,evaluation,and consideration for future monitoring and control. 展开更多
关键词 detection public health emerging chemical hazards animal derived foods hazardous chemicals food safety systems chemical hazards control solutions
On the compressible Navier-Stokes equation with Coriolis force and density-dependent viscosity:the Cartesian vector solutions and their properties 认领 引用
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作者 Hongli An Ziliang Li +1 位作者 Anthony Suen Manwai Yuen 《Communications in Theoretical Physics》 SCIE CAS CSCD 2026年第5期1-10,共10页
The Navier-Stokes(NS)equation with Coriolis force and density-dependent viscosity is an important physical model,which has been widely used to understand and analyze a wide array of phenomena,including behaviors of th... The Navier-Stokes(NS)equation with Coriolis force and density-dependent viscosity is an important physical model,which has been widely used to understand and analyze a wide array of phenomena,including behaviors of the Gulf stream,dynamics of hurricanes,operation of chemical reactors and functionality of rotating machines.In this paper,based on the matrix and curve integration techniques,we build a sufficient condition for the existence of Cartesian vector solutions u=b(t)+A(t)x for the N-dimensional NS equation,in which A satisfies appropriate matrix equations.Then,we discuss two special cases of A and thereby explicit analytical solutions are obtained.To shed light on these solutions,we give some illustrative examples.Among them,some examples form the generalization previously obtained by other authors and some examples are quite new.Finally,we analyze the properties of Cartesian vector solutions in a special case. 展开更多
关键词 the compressible Navier-Stokes equation Cartesian vector solutions matrix differential equations curve integration technique
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Analytical solutions on dynamic response of a thin-walled curved beam subjected to two-axle moving load with variable speed 认领 引用
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作者 Xiaoyong Lv Liupeng Li +1 位作者 Zhiwu Yu Peng Liu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第2期237-251,共15页
This paper proposes the analytical solutions involving damping effects for the dynamic response of a simply supported thin-walled curved beam under uniformly variable two-axle moving loads in four directions:vertical,... This paper proposes the analytical solutions involving damping effects for the dynamic response of a simply supported thin-walled curved beam under uniformly variable two-axle moving loads in four directions:vertical,torsional,radial,and axial.The warping stiffness and damping of the thin-walled beam were comprehensively considered in the vibration control equations.Unlike traditional one-axle load cases,this study employs a more realistic two-axle vehicle load model.Based on the modal superposition method,the control vibration equations for thin-walled curved beams in-plane and out-ofplane under variable speed moving loads were solved using a combination of the Fourier sine transform method,the Galerkin method,and the Laplace transform method.Analytical solutions for the dynamic responses were derived in integral form,facilitating direct numerical computation.The proposed computational method’s effectiveness and accuracy were validated against published research.Subsequently,the dynamic responses of the thin-walled curved beam under one-axle and two-axle moving load models were compared,and the effects of initial load velocity,load acceleration,and center angle of the curved beam on the dynamic responses were investigated through extensive parameter research.The research results provide valuable insights into the structural behavior of thin-walled curved beams under the moving loading with variable speed. 展开更多
关键词 Thin-walled curved beam Dynamic response Variable speed Two-axle moving load Analytical solution
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A Critical Review on Catalytic Regeneration of Amine Solutions for Energy-Efficient CO2Capture 认领 引用
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作者 Qiyue Zhao Chuanlei Liu +3 位作者 Peicheng Li Yousheng Zhou Benxian Shen Hui Sun 《Carbon and Hydrogen》 SCIE CAS CSCD 2026年第1期4-20,共17页
Amine-based absorption has been regarded as the benchmark technology for CO2capture because of its high processing capacity and relatively mature process.However,its high-energy consumption associated with solvent ... Amine-based absorption has been regarded as the benchmark technology for CO2capture because of its high processing capacity and relatively mature process.However,its high-energy consumption associated with solvent regeneration severely limits large-scale deployment.In recent years,catalytic regeneration has emerged as a promising process intensification strategy to reduce regeneration energy consumption.By employing catalysts,the energy barriers for carbamate and bicarbonate decomposition can be largely reduced through enhanced proton transfer,acid-base cooperativity,and interfacial mass transport.This review provides a critical overview of recent advances in the catalytic regeneration of CO2-rich amine solutions.Acid catalysts are first classified according to material types and structural features.The catalytic mechanisms proposed for different systems are then discussed,together with catalyst deactivation and stability issues.Furthermore,emerging data-driven catalyst design strategies based on machine learning,as well as process-level evaluations using Aspen simulations,are summarized.Finally,recent pilot-scale demonstrations and the integration of catalytic regeneration with other process intensification technologies are reviewed.Key challenges and future research prospects are identified,including catalyst durability under alkaline conditions,solvent-catalyst compatibility,quantitative identification of active sites in liquid environments,and full-process energy optimization.This review aims to provide insight into the rational development of catalytic regeneration of amine solution for energy-efficient CO2capture technologies. 展开更多
关键词 acid catalysts catalytic regeneration CO2 CO2-rich amine solutions
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Symplectic electrothermomechanical buckling solutions for two-dimensional decagonal piezoelectric quasicrystal cylindrical shells 认领 引用
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作者 Xin SU Yuhang LI +3 位作者 Jufang JIA Xinsheng XU Andi LAI Zhenhuan ZHOU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2026年第7期1549-1568,共20页
Piezoelectric quasicrystals(PQCs),characterized by unique phonon-phason coupling and piezoelectric effects,exhibit significant potential for use in next-generation smart structural devices.However,their complex electr... Piezoelectric quasicrystals(PQCs),characterized by unique phonon-phason coupling and piezoelectric effects,exhibit significant potential for use in next-generation smart structural devices.However,their complex electrothermomechanical buckling behavior remains a challenging analytical problem.This paper presents a symplectic electrothermomechanical buckling model for two-dimensional(2D)decagonal PQC cylindrical shells.By using the symplectic mathematics and Donnell's thin shell theory,the governing buckling equations for axially compressed PQC cylindrical shells are reformulated into a Hamiltonian system.Consequently,the original buckling problem is transformed into a symplectic eigenproblem that can be solved directly,obviating the necessity of trial functions.By use of the symplectic eigenfunction expansion,analytical symplectic buckling equations are obtained,allowing the critical buckling loads and buckling mode shapes to be solved simultaneously.The results indicate that,in addition to the geometry,voltage,and temperature,the phonon-phason-electric coupling inherent in PQC materials significantly influences the critical buckling loads.These analytical results provide a reliable reference for validating other computational approaches. 展开更多
关键词 piezoelectric quasicrystal(PQC)cylindrical shell buckling symplectic method analytical solution
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Integrable decompositions and superposed nonlinear solutions of(2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation 认领 引用
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作者 Yan Li Ruoxia Yao Senyue Lou 《Chinese Physics B》 SCIE EI CAS CSCD 2026年第4期213-223,共11页
The phenomenon of shallow water waves in nature attracts the attention of scholars and plays an important role in fields such as marine ecology,tidal waves,solitary waves,and offshore engineering.To better understand ... The phenomenon of shallow water waves in nature attracts the attention of scholars and plays an important role in fields such as marine ecology,tidal waves,solitary waves,and offshore engineering.To better understand the phenomenon of shallow water waves,we investigate the(2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada(2D-CDGKS)equation from the perspective of integrable decomposition.By utilizing the Lax pairs and formal variable separation(FVS)method,the 2D-CDGKS equation can be decomposed into the Sharma-Tasso-Olver(STO)equation,the integrable Svinolupov-Sokolov(SS)equation,and the Sawada-Kotera(SK)equation.We construct some novel exact solutions by linear superposing the integrable decomposition relations.Additionally,the superposition of two-soliton solution with three-soliton solution,two-soliton solution propagating on periodic cnoidal background waves,and soliton-cnoidal wave interaction solutions with interesting dynamics,are explored.Our results have important significance for understanding of the physical events consolidate the complex system under consideration and offering vital insights into the intricate dynamics of its behavior.Furthermore,the present work will enrich the investigation of nonlinear dynamics in highdimensional nonlinear system,and provide theoretical support for the related experimental phenomena. 展开更多
关键词 (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation integrable decomposition linear superposed solutions nonlinear wave interaction
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Global Strong Solutions to a Two-Dimensional Keller-Segel-Navier-Stokes System with Subcritical Sensitivity 认领 引用
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作者 LU Shengqi CHEN Miaochao LIU Qilin 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2026年第3期250-254,共5页
In this paper,we prove the global existence of strong solutions to a two-dimensional(2D)Keller-Segel-Navier-Stokes system with subcritical sensitivity in a bounded domain.Using energy methods,interpolation inequalitie... In this paper,we prove the global existence of strong solutions to a two-dimensional(2D)Keller-Segel-Navier-Stokes system with subcritical sensitivity in a bounded domain.Using energy methods,interpolation inequalities and the Gronwall lemma,we establish uniform a priori estimates for the solutions.We prove the existence and uniqueness of global strong solutions under appropriate initial conditions,along with higher-order Sobolev regularity of solutions.The result extends existing conclusions and enriches the global wellposedness theory for chemotaxis-fluid coupled models. 展开更多
关键词 chemotaxis Keller-Segel-Navier-Stokes strong solutions
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MULTIPLICITY OF NORMALIZED SOLUTIONS FOR NONLINEAR KIRCHHOFF-TYPE PROBLEMS 认领 引用
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作者 Liping XU Haibo CHEN 《Acta Mathematica Scientia》 SCIE CSCD 2026年第3期1248-1268,共21页
This paper addresses the existence of multiple nonradial and radial normalized solutions for the following Kirchhoff-type equations{-(a+b∫Rn|▽u|2dx)△u=f(x)-pu in RN,||u||2L^(2RN)=m,u∈H1(RN)... This paper addresses the existence of multiple nonradial and radial normalized solutions for the following Kirchhoff-type equations{-(a+b∫Rn|▽u|2dx)△u=f(x)-pu in RN,||u||2L^(2RN)=m,u∈H1(RN),where f∈C(R,R),a,b>0 are constants,μ∈R is not fixed and instead appears as a Lagrange multiplier and m>0 is a given constant.In a mass subcritical case,using a version of the minimax theorem([32,Theorem 2.1])for a class of constrained even functionals,we demonstrate the existence of one nonradial normalized solution when N≥4.Additionally,if N≥4 and N≠5,we obtain multiple nonradial normalized solutions.Moreover,the existence of infinitely many radial normalized solutions is explored for N≥2.Furthermore,all solutions discussed above are sign-changing.As a supplementary result,we also prove the nonexistence of nontrivial solutions.Lastly,we analyze the asymptotic behavior of all solutions obtained above as b→0. 展开更多
关键词 Kirchhoff-type equations multiple nonradial and radial normalized solutions sign-changing solutions asymptotic behavior
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BLOWING-UP SOLUTIONS FOR THE CHOQUARD TYPE BREZIS-NIRENBERG PROBLEM IN DIMENSION THREE 认领 引用
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作者 Wenjing CHEN Zexi WANG 《Acta Mathematica Scientia》 SCIE CSCD 2026年第3期1219-1247,共29页
In this paper,we are interested in the existence of solutions for the following Choquard type Brezis-Nirenberg problem{-△u=(∫Ωu6-α(y)/|x-y|α)u5-α+λu,inΩ,u>0,inΩ,u=0,on■Ω,whereΩis a smooth bo... In this paper,we are interested in the existence of solutions for the following Choquard type Brezis-Nirenberg problem{-△u=(∫Ωu6-α(y)/|x-y|α)u5-α+λu,inΩ,u>0,inΩ,u=0,on■Ω,whereΩis a smooth bounded domain in R3,α∈(0,3),6−αis the upper critical exponent in the sense of the Hardy-Littlewood-Sobolev inequality,andλis a real positive parameter.By applying the reduction argument,we find and characterize a positive valueλ0 such that ifλ-λ0>0 is small enough,then the above problem admits a solution,which blows up and concentrates at the critical point of the Robin function asλ→λ0.Moreover,we consider the above problem under zero Neumann boundary condition. 展开更多
关键词 blowing-up solutions critical Choquard equation reduction argument Robin function
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EXISTENCE OF NORMALIZED SOLUTIONS TO LAPLACIAN-LIKE EQUATIONS AT SUBCRITICAL GROWTH 认领 引用
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作者 Zhouxin LI Yuan XIANG 《Acta Mathematica Scientia》 SCIE CSCD 2026年第4期1841-1861,共21页
In this paper,we study a class of Laplacian-like equation.We first deduce the Pohozaev identity of the equation and consider the minimum of the functional on the Pohozaev manifold and then study the properties of the ... In this paper,we study a class of Laplacian-like equation.We first deduce the Pohozaev identity of the equation and consider the minimum of the functional on the Pohozaev manifold and then study the properties of the minimum energy of the functional.Based on the properties obtained,we prove the existence of normalized solution to the equation. 展开更多
关键词 normalized solutions Laplacian-like equations Pohozaev identity
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