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  order from
     This paper discusses the approximating order of lagrange polynormial to the smooth function with the node being the null of the chebyshev polynormial It improves the oretically the approximate order from O(n -12 ) to O(n -1 ) and to 0(n -2 ),and gives the exact erplaination of 0(n -1 ).
     本文讨论以Chebyshev多项式的零点为节点的Lagrange型多项式来逼近光滑函数的逼近阶,从理论上把逼近阶由O(n-12)提高到0(n-1)及0(n-2)并使参考文献中的0(n-1)阶给出了精确的表达
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  “阶由”译为未确定词的双语例句
     It is proved that theorder of the Hecke L-function L(s,x) at its central point s = k is determined byits root number when or when and ,where ε>0and c(ε) is a constant depending only on ε.
     的乘积。 我们证明了当|d|≤c(ε)D~(1/24-ε)或当k≥2,|d|≤c(ε)D~(1/12-ε)时,Hecke L-函数L(s,x)在中心点s=尼的阶由根数决定,其中ε>0,c(ε)是只依赖于ε的常数。
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     From the viewpoint of sequence stratigraphy, the Shaodongian Stage will include only one sequence and the Yanguanian Stage three sequences in general.
     从层序地层学的观点来看,邵东阶大体由1个三级层序组成,岩关阶由3个三级层序组成。
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     A new numerical method for solving two phase air water flow equations is developed The two phase air water equations are solved with a finite element method A discrete Newton iterative method is adopted to linearize the non linear finite element equations after temporal and spatial discretion, it not only converges faster than the other methods, but also avoids the difficulties on programming The mean of paralleling is adopted to solve the two phase finite element equations, reducing much EMS memory needed in calculation by integrating means
     在利用有限元方法求解水气二相流方程时 ,引入了离散Newton迭代方法 ,用于非线性有限元方程组的线性化处理 ,将这一步计算的收敛阶由原有研究的线性收敛提高到平方收敛 ,并避免了直接应用Newton迭代方法给编程带来的不便。 同时在求解两相的有限元方程组时 ,采用两相方程组并行迭代的方法 ,与联立计算相比节省了大量的内存空间。
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     Based on the experiential formula which is produced by C.
     在C.
     The electrical equivalent circuit model, which is put forward by J.
     J.
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     The combinatorial identities deriving from matrix of 2 order
     矩阵推导组合恒等式
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     THE TYPES OF GROUPS DETERMINED BY THE ORDERS OF AUTOMORPHISM GROUPS
     群G的自同构群A(G)的看G的类型
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     THE ORDER OF INFINITE PRODUCT
     无穷乘积的
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With the order from 0 increasing to 1, the fractional Fourier transform can show the characteristics of the signal changing from the time domain to the frequency domain.
      
Compounds in the homologous series are eluted in the direct order from methyl ton-octyl acetate.
      
The analysis of electron diffraction patterns shows that Al100-xCux is characterized by a dense packed atomic distribution with increasing order from 29?~x?~49.
      
For the three temperatures at which measurements were made, 1.18, 1.53 and 2.23TN the peak intensity was found to decrease by 90% and the characteristic wavelength for short range magnetic order from 57.
      
The order from most rapid to slowest dispersal was as follows: propoxur-in-oil, aerosol, aerosol blank and oil blank.
      
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In this paper a new semi-analytical and semi-numerical method for computation of the second order perturbation of artificial earth satellites is presented. Its basie ideas are the following 1. In our analysis, we adopt σ* as the fundamental elements system, where σ*'s are mean elements, obtained after subtracting the short, period terms △σ_s. from the oscula-ting elements. 2. The σ*'s secular and long period rates (up to third order) are derived with the numerical averages of dσ/dt, which are the rates of the...

In this paper a new semi-analytical and semi-numerical method for computation of the second order perturbation of artificial earth satellites is presented. Its basie ideas are the following 1. In our analysis, we adopt σ* as the fundamental elements system, where σ*'s are mean elements, obtained after subtracting the short, period terms △σ_s. from the oscula-ting elements. 2. The σ*'s secular and long period rates (up to third order) are derived with the numerical averages of dσ/dt, which are the rates of the osculating elements. 3. The osculating elements in computing dσ/dt are calculated with σ* plus the dt short period terms △σ_s, in which the first order short period terms △σ_s are obtained by analytical method, and the second order ones △σ_s by Fourier analysis. Because of adopting σ~* as the elements system, we have overcome some shortco-mings in the numerical method, such as the shorter step, the longer computing time, the more serious accumulatation of errors, etc. As we compute dσ~*/dt and △σ_s by means of numerical method, we have avoided the development of the complicate for-mulae. In this way, our method also has the advantages of simpler computing for-mulae and more convenient programming. To compute the second order perturbation, the computing time of our method is only 1/10 of the classical numerical method, and the memories is about 1/5 of the pure analytical method. The numerical method of ODE are also discussed. An improved Chebychev itera-tion process is developed to adapt the need of the orbit determination in satellite dynamical geodesy. In this paper we also give detailed formulae for computing the perturbating forces and the numerical results of computation by our method. The numerical results show that the errors in radius and across-track are less than 0.1 m, and that in along-track less than 1 m.

本文提出了一种新的计算人造卫星二阶摄动的半分析、半数值方法,其基本思想是: i),采用σ~*作为基本根数系统;这里σ~*是从密切根数σ中扣去短周期项△σ_s的平根数。 ii),σ~*的长期、长周期变率(准到三阶)由密切限的变率dσ/dt的数值平均求得。 ii),计算dσ/dt中所用的密切根数σ,由σ~*加上短周期项△σ_s,而得,其中一阶短周期项△σ_s~((1))用分析公式计算,二阶短周期项△σ_s~((2))用Fourier分析方法求取。由于采用了σ~*作为根数系统,克服了密切根数σ数值方法的积分步长短、计算时间长、积累误差大等缺点;由于dσ/dt、△σ_s~((2))用数值方法计算,又避免了繁复的公式推导,兼得了计算公式简单,程序编制方便等优点。用本方法计算二阶摄动,计算时间比经典的数值方法要节省十分之九,所占内存的大小可比分析方法节省4/5—5/6。本文还讨论了微分方程的数值积分方法,改进了迭代过程,使得它更适合于卫星动力测地中测轨的要求。本文还给出了用本方法计算的数值结果。数值结果表明:用本方法测轨,向径、垂迹方向误差小于0.1米,沿迹方向误差小于1米。

This paper discusses the approximating order of lagrange polynormial to the smooth function with the node being the null of the chebyshev polynormial It improves the oretically the approximate order from O(n -12 ) to O(n -1 ) and to 0(n -2 ),and gives the exact erplaination of 0(n -1 ).

本文讨论以Chebyshev多项式的零点为节点的Lagrange型多项式来逼近光滑函数的逼近阶,从理论上把逼近阶由O(n-12)提高到0(n-1)及0(n-2)并使参考文献中的0(n-1)阶给出了精确的表达

n the present paper an attempt is made to discuss the Upper Devonian and Lower Carboniferous chronostratigraphic division of South China from the viewpoint of integrated stratigraphy. In order to make the chronostratigraphic units established in South China to cope with international standard, the lower boundary of the traditional Yanguanian Stage is moved upwards to the DevonianCarboniferous boundary, and the strata between the Xikuangshanian and Yanguanian stages are referred to the Shaodongian Stage. The...

n the present paper an attempt is made to discuss the Upper Devonian and Lower Carboniferous chronostratigraphic division of South China from the viewpoint of integrated stratigraphy. In order to make the chronostratigraphic units established in South China to cope with international standard, the lower boundary of the traditional Yanguanian Stage is moved upwards to the DevonianCarboniferous boundary, and the strata between the Xikuangshanian and Yanguanian stages are referred to the Shaodongian Stage. The Shaodongian and Yanguanian stages of South China correspond to the Strunian and Tournaisian stages of Europe respectively. This scheme makes the stages to correspond to the natural rhythms of Earth's evolution and the stage boundaries to coincide with important geological events, which are not only a clear biostratigraphic, but also a distinct event stratigraphical boundary. Remarkable changes in palaeoecologic pattern and sudden variation in magnetic susceptibility and stable isotope of limestones occurred at the DevonianCarboniferous boundary, which may probably denote a natural boundary. From the viewpoint of sequence stratigraphy, the Shaodongian Stage will include only one sequence and the Yanguanian Stage three sequences in general. Among the events mentioned above, the rise and fall of sealevel seem to play a key role. This variation results in the changes of fauna, palaeoecological pattern, depositional sequences, magnetic susceptibility and stable isotope of limestones.

运用综合地层学方法讨论了华南上泥盆统和下石炭统年代地层划分。为了便于和国际年代地层标准进行对比,建议把华南岩关阶的底界提高到与国际上泥盆系—石炭系界线相一致的位置,把上泥盆统锡矿山阶与修订后的岩关阶之间的地层归入邵东阶。邵东阶和岩关阶分别相当于欧洲的斯特隆阶和杜内阶。这个方案使阶与地球演化的自然节律相对应。阶的界线和重大地质事件吻合,它不仅是一条生物地层界线,而且有明显的事件地层标志。在邵东阶和岩关阶之间的界线上古群落的分布模式和地层的磁学特征及地球化学特征都发生了显著变化,可能代表一条自然界线。从层序地层学的观点来看,邵东阶大体由1个三级层序组成,岩关阶由3个三级层序组成。上述各种地质事件中,海平面升降似乎起着关键性主导作用,其变化导致了生物群、古群落的分布模式、沉积层序的发育及地层磁学特征和地球化学特征的变化。

 
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