This paper constructs the new common eigenvectors of n intermediate coordinate-momentum operators which are complete and orthonormal. The intermediate coordinate-momentum representation of a multi-particles system is ...This paper constructs the new common eigenvectors of n intermediate coordinate-momentum operators which are complete and orthonormal. The intermediate coordinate-momentum representation of a multi-particles system is proposed and applied to a generaln-mode quantum harmonic oscillators system with coordinate-momentum coupling.展开更多
Using the technique of integration within an ordered product (IWOP) of operators we construct intermediate coordinate-momentum representation, with which we build a type of operator Fredholm integration equation tha...Using the technique of integration within an ordered product (IWOP) of operators we construct intermediate coordinate-momentum representation, with which we build a type of operator Fredholm integration equation that is an operator generalization of the solution of thermo conduction equation. Then we seach for the solution of operator Fredholm integration equations, which provides us with a new approach for deriving some operator identities.展开更多
Using the intermediate coordinate-momentum representation {x}s,r, we introduce a new Hadamard transform. It is found that the operator U corresponding to this transform can be considered as a combination of the Fresne...Using the intermediate coordinate-momentum representation {x}s,r, we introduce a new Hadamard transform. It is found that the operator U corresponding to this transform can be considered as a combination of the Fresnel operator F (r, s) and the Fourier transform operator F- by decomposing U. We also find that the matrix element s,r 〈x|U|f) just corresponds to an optical scaled Presnel Fourier transform.展开更多
We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product (IWOP) of operators is employed to prove...We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product (IWOP) of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new two-mode intermediate momentum-coordinate representation which involves quantum entanglement for a two-particle system is proposed and applied to some twobody dynamic problems. Moreover, the pure-state density matrix |ξ1,ξ2| C,D C,D(ξ1, ξ2| is a Radon transform of Wigner operator.展开更多
We study the eigenstate problem of a kind of coupled oscillators in the new quantum mechanical representation |q,μ,υ〉, which is defined as the eigenvector of the operator (μQ + υP), whereμ and υ are two rea...We study the eigenstate problem of a kind of coupled oscillators in the new quantum mechanical representation |q,μ,υ〉, which is defined as the eigenvector of the operator (μQ + υP), whereμ and υ are two real parameters. We also use the U operator transformation method to deal with the same problem. We obtain the normally ordered product expressions of U operator and eigenvector. It is shown that the ground state of system Hamiltonian is a squeezed state.展开更多
We introduce bivariate normal distribution operator for state vector [ψ) and find that its marginal distribution leads to one-dimensional normal distribution corresponding to the measurement probability |λ,v〈x|...We introduce bivariate normal distribution operator for state vector [ψ) and find that its marginal distribution leads to one-dimensional normal distribution corresponding to the measurement probability |λ,v〈x|.ψ〉|^2, where |x〉λ,v is the coordinate-momentum intermediate representation. As a by-product, the one-dimensional normal distribution in statistics can be explained as a Radon transform of two-dimensional Gaussian function.展开更多
In this paper, a method to initiate, develop and visualize an abstract syntax tree (AST) in C++ source code is presented. The approach is in chronological order starting with collection of program codes as a string an...In this paper, a method to initiate, develop and visualize an abstract syntax tree (AST) in C++ source code is presented. The approach is in chronological order starting with collection of program codes as a string and split into individual characters using regular expression. This will be followed by separating the token grammar using best first search (BFS) algorithm to determine node having lowest value, lastly followed by graph presentation of intermediate representation achieved with the help of graph visualization software (GraphViz) while former is implemented using python programming language version 3. The efficacy of our approach is used in analyzing C++ code and yielded a satisfactory result.展开更多
Cyanomethylene radical(HCCN)is an important intermediate in the nitrile chemistry in both the earth’s and the Titan’s atmosphere.Despite that the mechanism for the oxidation of HCCN has been already computationally ...Cyanomethylene radical(HCCN)is an important intermediate in the nitrile chemistry in both the earth’s and the Titan’s atmosphere.Despite that the mechanism for the oxidation of HCCN has been already computationally explored,the key Criegee intermediate,NCC(H)OO,remains unobserved yet.By photolyzing mixtures(1:50:1000)of either HC(N2)CN/O2/N2(266 nm)or HCCNCO/O2/N2(193 nm)at 15.0 K,the elusive carbonyl oxides NCC(H)OO,in syn-and anti-conformations,have been generated and characterized with IR spectroscopy.The spectroscopic identification is supported by ^18O-labeling experiments and the quantum chemical calculations at the BP86/6-311++G(3df,3pd)level.Upon subsequent UV-light irradiation,both conformers of NCC(H)OO further react with O2 and yield NCC(O)H and O3,whereas,the dioxirane isomer HC(O2)CN,which is lower than syn-NCC(H)OO by 23.7 kcal/mol at the CCSD(T)-F12a/aug-cc-pVTZ//BP86/6-311++G(3df,3pd)level,was not observed experimentally.展开更多
We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product of operators is employed to prove that tho...We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new intermediate coordinate-momentum representation for a two-particle system is proposed and applied to some two-body dynamic problems.展开更多
Deep learning algorithms increasingly support automated systems in areas such as human activity recognition and purchase recommendation.We identify a current trend in which data is transformed first into abstract visu...Deep learning algorithms increasingly support automated systems in areas such as human activity recognition and purchase recommendation.We identify a current trend in which data is transformed first into abstract visualizations and then processed by a computer vision deep learning pipeline.We call this VisuaLization As Intermediate Representation(VLAIR)and believe that it can be instrumental to support accurate recognition in a number of fields while also enhancing humans’ability to interpret deep learning models for debugging purposes or for personal use.In this paper we describe the potential advantages of this approach and explore various visualization mappings and deep learning architectures.We evaluate several VLAIR alternatives for a specific problem(human activity recognition in an apartment)and show that VLAIR attains classification accuracy above classical machine learning algorithms and several other non-image-based deep learning algorithms with several data representations.展开更多
In this paper by virtue of the technique of integration within an ordered product (IWOP) of operators and the intermediate coordinate-momentum representation in quantum optics, we derive the normal ordering and anti...In this paper by virtue of the technique of integration within an ordered product (IWOP) of operators and the intermediate coordinate-momentum representation in quantum optics, we derive the normal ordering and antinormal ordering products of the operator (fQ+gP)n when n is an arbitrary integer. These products are very useful in calculating their matrix elements and expectation values and obtaining some useful mathematical formulae. Finally, the applications of some new identities are given.展开更多
We show that for tomographic approach there exist two mutual conjugate quantum states [p,σ, τ) and [x,μ, ν) (named the intermediate coordinate-momentum representation), and the two Radon transforms of the Wign...We show that for tomographic approach there exist two mutual conjugate quantum states [p,σ, τ) and [x,μ, ν) (named the intermediate coordinate-momentum representation), and the two Radon transforms of the Wigner operator are just the pure-state density matrices [p)σ1τσ1τ (p| and (p)λ,ν,λ,ν,(x| respectively. As a result, the tomogram of quantum states can be considered as the module-square of the states' wave function in these two representations. Throughout the paper we fully employ the technique of integration within an ordered product of operators. In this way we establish a new convenient formalism of quantum tomogram.展开更多
By using the parameter differential method of operators,we recast the combination function of coordinate and momentum operators into its normal and anti-normal orderings,which is more ecumenical,simpler,and neater tha...By using the parameter differential method of operators,we recast the combination function of coordinate and momentum operators into its normal and anti-normal orderings,which is more ecumenical,simpler,and neater than the existing ways.These products are very useful in obtaining some new differential relations and useful mathematical integral formulas.Further,we derive the normally ordered form of the operator(fQ+gP)^-n with n being an arbitrary positive integer by using the parameter tracing method of operators together with the intermediate coordinate-momentum representation.In addition,general mutual transformation rules of the normal and anti-normal orderings,which have good universality,are derived and hence the anti-normal ordering of(fQ+gP)^-n is also obtained.Finally,the application of some new identities is given.展开更多
内存错误漏洞仍是当前网络攻击中造成危害最严重的漏洞之一.内存错误漏洞的产生往往与对内存拷贝类函数的误用有关.目前针对内存拷贝类函数的识别主要借助于符号表和代码特征模式匹配,具有较高的误报率和漏报率,并且适用性较差.提出了...内存错误漏洞仍是当前网络攻击中造成危害最严重的漏洞之一.内存错误漏洞的产生往往与对内存拷贝类函数的误用有关.目前针对内存拷贝类函数的识别主要借助于符号表和代码特征模式匹配,具有较高的误报率和漏报率,并且适用性较差.提出了一种内存拷贝类函数识别技术CPYFinder(copy function finder).该技术在内存拷贝类函数控制流特征的基础上,将二进制代码转换为中间语言表示VEX IR(intermediate representation)进行数据流的构建和分析,根据内存拷贝类函数在数据流上的特征进行识别.该技术能够在较低的运行时间下对多种指令集架构(x86,ARM,MIPS,PowerPC)的二进制程序中的内存拷贝类函数进行识别.实验结果表明,相比于最新的工作BootStomp和SaTC,CPYFinder在对内存拷贝类函数识别上具有更好的表现,在精准率和召回率上得到更好的平衡,并且运行时间与SaTC几乎相等,仅相当于BootStomp耗时的19%.此外,CPYFinder在漏洞函数识别上也具有更好的表现.展开更多
基金Project supported by the Natural Science Foundation of Heze University of Shandong Province of China (Grant Nos XY07WL01 and XY05WL01)the University Experimental Technology Foundation of Shandong Province of China (Grant No S04W138)the National Natural Science Foundation of China (Grant No 10574060)
文摘This paper constructs the new common eigenvectors of n intermediate coordinate-momentum operators which are complete and orthonormal. The intermediate coordinate-momentum representation of a multi-particles system is proposed and applied to a generaln-mode quantum harmonic oscillators system with coordinate-momentum coupling.
基金The project supported by the President Foundation of the Chinese Academy of Sciences
文摘Using the technique of integration within an ordered product (IWOP) of operators we construct intermediate coordinate-momentum representation, with which we build a type of operator Fredholm integration equation that is an operator generalization of the solution of thermo conduction equation. Then we seach for the solution of operator Fredholm integration equations, which provides us with a new approach for deriving some operator identities.
文摘Using the intermediate coordinate-momentum representation {x}s,r, we introduce a new Hadamard transform. It is found that the operator U corresponding to this transform can be considered as a combination of the Fresnel operator F (r, s) and the Fourier transform operator F- by decomposing U. We also find that the matrix element s,r 〈x|U|f) just corresponds to an optical scaled Presnel Fourier transform.
基金Project supported by the Natural Science Foundation of Heze University of Shandong Province,China (Grant Nos XY07WL01 and XY08WL03)the University Experimental Technology Foundation of Shandong Province,China (Grant No S04W138)+1 种基金the Natural Science Foundation of Shandong Province of China (Grant No Y2008A16)the National Natural Science Foundation of China (Grant No 10574060)
文摘We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product (IWOP) of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new two-mode intermediate momentum-coordinate representation which involves quantum entanglement for a two-particle system is proposed and applied to some twobody dynamic problems. Moreover, the pure-state density matrix |ξ1,ξ2| C,D C,D(ξ1, ξ2| is a Radon transform of Wigner operator.
文摘We study the eigenstate problem of a kind of coupled oscillators in the new quantum mechanical representation |q,μ,υ〉, which is defined as the eigenvector of the operator (μQ + υP), whereμ and υ are two real parameters. We also use the U operator transformation method to deal with the same problem. We obtain the normally ordered product expressions of U operator and eigenvector. It is shown that the ground state of system Hamiltonian is a squeezed state.
基金supported by National Natural Science Foundation of China under Grant No.10574647
文摘We introduce bivariate normal distribution operator for state vector [ψ) and find that its marginal distribution leads to one-dimensional normal distribution corresponding to the measurement probability |λ,v〈x|.ψ〉|^2, where |x〉λ,v is the coordinate-momentum intermediate representation. As a by-product, the one-dimensional normal distribution in statistics can be explained as a Radon transform of two-dimensional Gaussian function.
文摘In this paper, a method to initiate, develop and visualize an abstract syntax tree (AST) in C++ source code is presented. The approach is in chronological order starting with collection of program codes as a string and split into individual characters using regular expression. This will be followed by separating the token grammar using best first search (BFS) algorithm to determine node having lowest value, lastly followed by graph presentation of intermediate representation achieved with the help of graph visualization software (GraphViz) while former is implemented using python programming language version 3. The efficacy of our approach is used in analyzing C++ code and yielded a satisfactory result.
基金supported by the National Natural Science Foundation of China (No.21673147).
文摘Cyanomethylene radical(HCCN)is an important intermediate in the nitrile chemistry in both the earth’s and the Titan’s atmosphere.Despite that the mechanism for the oxidation of HCCN has been already computationally explored,the key Criegee intermediate,NCC(H)OO,remains unobserved yet.By photolyzing mixtures(1:50:1000)of either HC(N2)CN/O2/N2(266 nm)or HCCNCO/O2/N2(193 nm)at 15.0 K,the elusive carbonyl oxides NCC(H)OO,in syn-and anti-conformations,have been generated and characterized with IR spectroscopy.The spectroscopic identification is supported by ^18O-labeling experiments and the quantum chemical calculations at the BP86/6-311++G(3df,3pd)level.Upon subsequent UV-light irradiation,both conformers of NCC(H)OO further react with O2 and yield NCC(O)H and O3,whereas,the dioxirane isomer HC(O2)CN,which is lower than syn-NCC(H)OO by 23.7 kcal/mol at the CCSD(T)-F12a/aug-cc-pVTZ//BP86/6-311++G(3df,3pd)level,was not observed experimentally.
基金supported by the Natural Science Foundation of Heze Universityof Shandong Province of China under Grant Nos.XY07WL01 and XY08WL03the University Experimental Technology Foundation of Shandong Province under Grant No.S04W138+1 种基金the Natural Science Foundation of Shandong Province under Grant No.Y2008A16the National Natural Science Foundation of China under Grant No.10574060
文摘We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new intermediate coordinate-momentum representation for a two-particle system is proposed and applied to some two-body dynamic problems.
文摘Deep learning algorithms increasingly support automated systems in areas such as human activity recognition and purchase recommendation.We identify a current trend in which data is transformed first into abstract visualizations and then processed by a computer vision deep learning pipeline.We call this VisuaLization As Intermediate Representation(VLAIR)and believe that it can be instrumental to support accurate recognition in a number of fields while also enhancing humans’ability to interpret deep learning models for debugging purposes or for personal use.In this paper we describe the potential advantages of this approach and explore various visualization mappings and deep learning architectures.We evaluate several VLAIR alternatives for a specific problem(human activity recognition in an apartment)and show that VLAIR attains classification accuracy above classical machine learning algorithms and several other non-image-based deep learning algorithms with several data representations.
基金Project supported by the Natural Science Foundation of Shandong Province of China (Grant No Y2008A23)the Natural Science Foundation of Liaocheng University (Grant No X071049)
文摘In this paper by virtue of the technique of integration within an ordered product (IWOP) of operators and the intermediate coordinate-momentum representation in quantum optics, we derive the normal ordering and antinormal ordering products of the operator (fQ+gP)n when n is an arbitrary integer. These products are very useful in calculating their matrix elements and expectation values and obtaining some useful mathematical formulae. Finally, the applications of some new identities are given.
基金The project supported by National Natural Science Foundation of China under Grant No. 10475056 and the Specialized Research Fund for the Doctorial Progress of Higher Education under Grant No. 20040358019
文摘We show that for tomographic approach there exist two mutual conjugate quantum states [p,σ, τ) and [x,μ, ν) (named the intermediate coordinate-momentum representation), and the two Radon transforms of the Wigner operator are just the pure-state density matrices [p)σ1τσ1τ (p| and (p)λ,ν,λ,ν,(x| respectively. As a result, the tomogram of quantum states can be considered as the module-square of the states' wave function in these two representations. Throughout the paper we fully employ the technique of integration within an ordered product of operators. In this way we establish a new convenient formalism of quantum tomogram.
基金Project supported by the National Natural Science Foundation of China(Grant No.11347026)the Natural Science Foundation of Shandong Province,China(Grant Nos.ZR2016AM03 and ZR2017MA011)the Natural Science Foundation of Heze University,China(Grant Nos.XY17KJ09 and XY18PY13).
文摘By using the parameter differential method of operators,we recast the combination function of coordinate and momentum operators into its normal and anti-normal orderings,which is more ecumenical,simpler,and neater than the existing ways.These products are very useful in obtaining some new differential relations and useful mathematical integral formulas.Further,we derive the normally ordered form of the operator(fQ+gP)^-n with n being an arbitrary positive integer by using the parameter tracing method of operators together with the intermediate coordinate-momentum representation.In addition,general mutual transformation rules of the normal and anti-normal orderings,which have good universality,are derived and hence the anti-normal ordering of(fQ+gP)^-n is also obtained.Finally,the application of some new identities is given.
文摘内存错误漏洞仍是当前网络攻击中造成危害最严重的漏洞之一.内存错误漏洞的产生往往与对内存拷贝类函数的误用有关.目前针对内存拷贝类函数的识别主要借助于符号表和代码特征模式匹配,具有较高的误报率和漏报率,并且适用性较差.提出了一种内存拷贝类函数识别技术CPYFinder(copy function finder).该技术在内存拷贝类函数控制流特征的基础上,将二进制代码转换为中间语言表示VEX IR(intermediate representation)进行数据流的构建和分析,根据内存拷贝类函数在数据流上的特征进行识别.该技术能够在较低的运行时间下对多种指令集架构(x86,ARM,MIPS,PowerPC)的二进制程序中的内存拷贝类函数进行识别.实验结果表明,相比于最新的工作BootStomp和SaTC,CPYFinder在对内存拷贝类函数识别上具有更好的表现,在精准率和召回率上得到更好的平衡,并且运行时间与SaTC几乎相等,仅相当于BootStomp耗时的19%.此外,CPYFinder在漏洞函数识别上也具有更好的表现.