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zeroth-order
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  零阶
     A characteristic value(ti) of atom i was defined as ti=1/2×n2i/mi×pi×(χi/χCsp3)1.5×(∑eij+hiēi),and the molecular connectivity index mL was built based on it. The zeroth-order,first-order among mL were modified as:0L=∑(ti)0.5+β0.5;
     分子中原子i的特征值定义为:ti=1/2×n2i/mi×pi×(χi/χCsp3)1.5×(∑eij+hiēi),由ti建构了分子连接性指数mL,其中的零阶指数、一阶指数修正为:0L=∑(ti)0.5+β0.5;
短句来源
     The zeroth-order Randi index of G is defined as R0α(G)=∑v∈Vdαv,where α is an arbitrary real number.
     G的零阶广义Randi指数定义为Rα0(G)=∑v∈Vdvα,其中α为任意实数。
短句来源
     Zeroth-order General Randi Index of Tress with Diameter Not More Than 4
     直径不超过4的树的零阶广义Randi指数
短句来源
     In this paper,the extremal graph problem of the zeroth-order general randi index of trees with diameter not more than 4 is investigated.
     本文研究直径不超过4的树关于零阶广义Randi指数的极图问题。
短句来源
     Applying them to the study of the electron dynamics in the intense laser pul se field, we found that as long as ω 0t 0>20, the zeroth-order approxima tion (long pulse approximation) is adequate for describing the interaction.
     另外对电子在超短高斯脉冲一阶修正场中的动力学特性研究发现 :对于ω0 t0 >2 0的情况 ,零阶修正场可以正确地描述电子被光场加速的特性 ;
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  “zeroth-order”译为未确定词的双语例句
     Experiment Research of Zeroth-order Diffraction Efficiency of 80 mm×80 mm Color-separation Grating
     80 mm×80 mm衍射光栅零级衍射效率实验研究
短句来源
     The exact solutions to the zeroth-order equation can be derived by Jacobi elliptic function expansion method,and then the first-order and the second-order equations can be solved by using Lamé equation and lamé functions.
     应用Jacobi椭圆函数展开法求得了零级近似方程的准确解,并在Lamé方程和Lamé函数的基础上分别求得一级近似方程和二级近似方程的准确解。
短句来源
     The zeroth-order connectivity indexes 0Y of 157 alkanes are calculated and correlated with the standard entropies of the alkanes, and the property is well modeled (R=0.9985).
     将 15 7种气态链烷烃的标准熵与其0 Y相关联 ,R =0 .9985 ,属于优级模型 .
短句来源
     Compositional variations of energy gaps for A_xB_(1-x)-type alloys,such as GaAs_2P_(1-x),are calculated by the coherent-potential approximation method based on a tight-binding approximation using LCAO. Zeroth-order approximation is taken from the vir-tual-crystal approximation.
     以虚晶近似(VCA)为零级近似,计入相干势近似(CPA)修正,使用由原子轨道的Bloch和为基的紧束缚方法(LCAO)计算了A_xB_(1-x)型合金GaAs_xP_(1-x)的能隙E_g随浓度x的变化.
短句来源
     The exact solutions to the zeroth-order equation can be derived by Jacobi elliptic function expansion method ,and then the first-order and the second-order equations can be solved by using Lamé equation and Lamé functions.
     应用Jacobi椭圆函数展开法求得了零级近似方程的准确解,并在Lamé方程和Lamé函数的基础上分别求得一级近似方程和二级近似方程的准确解.
短句来源
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  相似匹配句对
     The Communication and Transfer of Zeroth Information
     零次信息及其交流传递
短句来源
     THE ZEROTH LAW AND THE DEFINITION OF TIME
     第零定律与时间的定义
短句来源
     The Zeroth-order Bessel Function and Nondiffraction Beams
     无衍射光束与零阶贝塞尔函数
短句来源
     An improved algorithm for zeroth order perturbation solution is presented.
     提出了零阶摄动解的一个改进算法。
短句来源
     One dimensional profiles are examined by using of zeroth order effective theory.
     基于等效媒质近似理论 ,给出了一维光栅结构的等效折射率 .
短句来源
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  zeroth-order
In the theory of superfluidity and superconductivity, a jump of the free energy was discovered theoretically and was naturally called a zeroth-order phase transition.
      
The only term with unambiguous coefficient is the zeroth-order Nambu-Goto term.
      
The configurations of extra holographically reconstructed images of the diffuse screen (conjugate image, halo, and zeroth-order spot) are analyzed.
      
Analysis of the images projected shows that the luminance of the zeroth-order spot, while relatively low, should be diminished in one way or another.
      
The Breit equation as a zeroth-order approximation for calculation of the bound-state energy
      
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Two additional postulates of the eightfold way are suggested on the basis of the analysis of experiments: (1) The nonlinear contribution of the isospin T and the hyper-charge Y to the mass-splitting is independent of the spin-parity of multiplets; (2) In all cases where the octet-singlet mixing takes place, nine particles are grouped into a reducible nine-dimensional representation and are represented by a 3X3 matrix. The trace of this matrix appears neither in the zeroth order term of the mass relation nor...

Two additional postulates of the eightfold way are suggested on the basis of the analysis of experiments: (1) The nonlinear contribution of the isospin T and the hyper-charge Y to the mass-splitting is independent of the spin-parity of multiplets; (2) In all cases where the octet-singlet mixing takes place, nine particles are grouped into a reducible nine-dimensional representation and are represented by a 3X3 matrix. The trace of this matrix appears neither in the zeroth order term of the mass relation nor in the production and decay interactions of particles. On the basis of these postulates, the classification of the strongly interacting particles, especially the classification of the scalar mesons and the baryon resonances with higher spins, is further discussed. Some predictions are obtained and compared with experiments. The predictions of scalar mesons are discussed in detail and are compatible with experiments. Finally, the results and the implications of the classification are discussed.

本文从分析实验出发,对SU_3羣八重态理论提出了两个补充假定:(1)同位旋T和超荷Y对质量分裂的非线性贡献与多重态的自旋宇称无关;(2)对所有一维表示与八维表示相混的情形,九个粒子构成一个可约的九维表示,用有迹的3×3矩阵代表。该矩阵的阵迹在质量公式零级项和粒子产生及衰变相互作用中都不出现。在这两假定基础上,进一步讨论了强相互作用粒子的分类,特别是标量介子和具有较高自旋超子共振态的分类,得到了某些预言,并和实验作了比较。较详细地讨论了对标量介子的预言,所得结果与实验符合。最后对分类的结果进行了讨论。

The present paper is a further development, after the Great Proletarian Cultural Revolution, of our point of view that the element of homogeneous isotropic turbulence is a small axially symmetrical vortex. After long years of observation and analysis, we recognize that the structure of vortices, as elements of turbulence, does not obey the simple law of similarity or self--preservation. The structure undergoes a kind of stretching phenomena in the process of the decay of vortices. Therefore, we first bring...

The present paper is a further development, after the Great Proletarian Cultural Revolution, of our point of view that the element of homogeneous isotropic turbulence is a small axially symmetrical vortex. After long years of observation and analysis, we recognize that the structure of vortices, as elements of turbulence, does not obey the simple law of similarity or self--preservation. The structure undergoes a kind of stretching phenomena in the process of the decay of vortices. Therefore, we first bring out a vortex scale-vortex Reynolds number relation, and then introduce a pseudo--similarity or pseudo-- preservation concept into the theory. We solve the case of small vortex Reynolds number flows. The zeroth order approximation of the solution can be expressed in terms of confluent hypergeometric functions. The law of the decay of turbulent energy and the expression for the scale of micro--turbulence from the initial to the final period of decay together with the double velocity correlation thus calculated all agree very well with the experiments of Batchelor and Townsend. We have also computed the energy spectrum transfer funtion corresponding to the triple velocity correlation. But in this range of small vortex Reynolds number flows there are still no experimental measurements available for its verification In the Appendix by using the method of multi--Fourier transform, we have derived the Fourier transforms of the triple and n--tiple velotity correlations and the simpler form of the energy spectrum transfer function corresponding to the triple velocity correlation

本文是在无产阶级文化大革命后,对我们的均匀各向同性湍流的湍流元是小的轴对称涡旋 的观点所作的进一步的发展。根据多年来的观察和分析我们认为,作为湍流元的涡旋的结构并不 服从简单的相似性或自模拟性规律,它在涡旋 变过程中要产生一种伸缩现象。为此我们首先提 出了一个涡旋尺度一涡旋雷诺数的关系,然后引进了一种准相似性或准自模拟解的概念。我们对 小涡旋雷诺数的流动进行了求解。解的零级近似可以用汇合超几何函数表示。由此计算的包括从 变初期到衰变后期的整个范围的湍能衰变规律、湍流微尺度关系和二元速度关联都与 Batchelor & Townsend的实验符合得很好。我们还算出了与三元速度关联相应的能谱交换函数, 但在这个小涡旋雷诺数流动范围内还没有实验的结果可以比较。 在附录中我们用多重富利埃变换的方法计算出三元和多元速度关联的富利埃变换以及与三元 速度关联所对应的能谱交换函数的比较简单的表达式。

The present paper is a further development, after the Great Proletarian Cultural Revolution, of our point of view that the element of homogeneous isotropic turbu-lence is a small axially symmetrical vortex. After long years of observation and analysis, we recognize that the structure of vortices, as elements of turbulence, does not obey the simple law of similarity or self-preservation. The structure under-goes a kind of stretching phenomena in the process of the decay of vortices. There-fore, we first bring...

The present paper is a further development, after the Great Proletarian Cultural Revolution, of our point of view that the element of homogeneous isotropic turbu-lence is a small axially symmetrical vortex. After long years of observation and analysis, we recognize that the structure of vortices, as elements of turbulence, does not obey the simple law of similarity or self-preservation. The structure under-goes a kind of stretching phenomena in the process of the decay of vortices. There-fore, we first bring out a vortex scale-vortex Reynolds number relation, and thenintroduce a pseudo-similarity or pseudo-preservation concept into the theory We solve the case of small vortex Reynolds number flows The zeroth order approxima-tion of the solution can be expressed in terms of confluent hypergeometric func-tions. The law of the decay of turbulent energy and the expression for the scale of micro-turbulence from the initial to the final period of decay together with the double velocity correlation thus calculated all agree very well with the experiments of Batchelor and Townsend We have also computed the energy spectrum transfer funtion corresponding to the triple velocity correlation. But in this range of small vortex Reynolds number flows there are still no experimental measurements available for its verificationIn the Appendix by using the method of multi-Fourier transform, we have derived the Fourier transforms of the triple and n-tiple velotity correlations and the simpler form of the energy spectrum transfer function corresponding to the triple veloctiy correlation

本文是在无产阶级文化大革命后,对我们的均匀各向同性湍流的湍流元是小的轴对称涡旋的观点所作的进一步的发展。根据多年来的观察和分析我们认为,作为湍流元的涡旋的结构并不服从简单的相似性或自模拟性规律,它在涡旋衰变过程中要产生一种伸缩现象。为此我们首先提出了一个涡旋尺度一涡旋雷诺数的关系,然后引进了一种准相似性或准自模拟解的概念。我们对小涡旋雷诺数的流动进行了求解。解的零级近似可以用汇合超几何函数表示。由此计算的包括从衰变初期到衰变后期的整个范围的湍能衰变规律、湍流微尺度关系和二元速度关联都与Batchelor & Townsend 的实验符合得很好。我们还算出了与三元速度关联相应的能谱交换函数,但在这个小涡旋雷诺数流动范围内还没有实验的结果可以比较。 在附录中我们用多重富利埃变换的方法计算出三元和多元速度关联的富利埃变换以及与三元速度关联所对应的能谱交换函数的比较简单的表达式。

 
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