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high order
相关语句
  高阶
     Supersonic Complex Flowfield Parallel Analysis and High Order Schemes Study
     超声速复杂流场并行数值分析及高阶格式研究
短句来源
     High Order Orthogonal Collocation Methods for Time-Dependent Equations
     发展型方程的高阶正交配置方法
短句来源
     A Novel Low order Approximation Method of High order Linear Time Invariant Dynamic Systems -Model Reduction With Adjustable Parameters-
     高阶线性定常系统的低阶逼近新方法——具有可调参数的模型简化
短句来源
     SOME EXPERIENCE IN USING LANCZOS’METHOD TO SOLVE THE HIGH ORDER SPARSE MATRIX GENERALIZED EIGENVALUE PROBLEM
     用Lanczos方法解高阶稀疏矩阵广义特征值问题的某些经验
短句来源
     SPECTROSCOPY OF HIGH ORDER CARS AND CSRS
     高阶相干喇曼散射光谱研究
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  高次
     A solution for high order matrix equation f(X) =0
     高次矩阵方程 f(X) =0的一种解法
短句来源
     Classification of Minimal 3-type Surfaces of S~4 via the High Order Standard Immersions of the Sphere
     球面高次标准浸入下S~4极小3型曲面的分类
短句来源
     HIGH ORDER COMPONENTS OF NEUTRON BEAMS FROM Ge(111) REFLECTION
     Ge(111)反射束的高次中子成分
短句来源
     In this paper, we present the classification of minimal 3-type surfaces of S~4 via the high order standard immersions of the sphere.
     本文通过球面到欧氏空间的高次标准浸入研究S~4上的极小3型曲面,并拾出了它的分类。
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     Superconvergence in High Order Galerkin Finite Element Methods
     高次Galerkin有限元法的超收敛性(英文)
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  “high order”译为未确定词的双语例句
     ASYMPTOTIC CHARACTERISTIC AND OSCILLATION OF HIGH ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION
     ASYMPTOTIC CHARACTERISTIC AND OSCILLATION OF HIGH ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION
短句来源
     A UNIFORMLY CONVERGENT DIFFERENCE SCHEME FOR THE SINGULAR PERTURBATION PROBLEM OF A HIGH ORDER ELLIPTIC DIFFERENTIAL EQUATION
     A UNIFORMLY CONVERGENT DIFFERENCE SCHEME FOR THE SINGULAR PERTURBATION PROBLEM OF A HIGH ORDER ELLIPTIC DIFFERENTIAL EQUATION
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     DOUBLE HIGH ORDER S-BREAKING BIFURCATION POINTS ANDTHEIR NUMERICAL DETERMINATION
     DOUBLE HIGH ORDER S-BREAKING BIFURCATION POINTS AND THEIR NUMERICAL DETERMINATION
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     High Order Correction to the Maxwell-Chern-Simons Field's Casimir Effect
     Maxwell-Chern-Simons场Casimir效应的高级修正
短句来源
     Two High Order Accuracy Implicit Difference Scheme for The Dispersive Equation u_1=au_(xxx)
     关于色散方程u_t=au_(xxx)的两个高精度隐式差分格式
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  high order
High order one-step A-stable exponentially fitted methods
      
A layer of surface singularities, whose intensity is found by solving a system of linear algebraic equations of very high order, is distributed continuously over each element.
      
In some cases, the functional equations can be localized and reduced to differential equations of fairly high order.
      
It is assumed that the coefficient of the time derivative has a zero of sufficiently high order on the hyperplane t=0; as a consequence, the Cauchy problem will be unsolvable.
      
Assuming that the coefficient of the time derivative has a zero of a sufficiently high order at t=0, we find the sufficient conditions to ensure the correctness of certain boundary value problems.
      
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This is a critical exposition and analysis of the modern developments in the theory of turbulent motion of an incompressible fluid. We begin with the review of the mixture length theories based upon Reynolds' equations of mean motion. Secondly, we analyze the principal contributions to the theory of homogeneous isotropic turbulence. Thirdly, we discuss the treatment of the general turbulent shear flow by means of Reynolds' equations of mean motion and the dynamical equations of velocity correlations which are...

This is a critical exposition and analysis of the modern developments in the theory of turbulent motion of an incompressible fluid. We begin with the review of the mixture length theories based upon Reynolds' equations of mean motion. Secondly, we analyze the principal contributions to the theory of homogeneous isotropic turbulence. Thirdly, we discuss the treatment of the general turbulent shear flow by means of Reynolds' equations of mean motion and the dynamical equations of velocity correlations which are derived from the equations of turbulent velocity fluctuation. We also point out at the same time that although this method yields theoretical results which are in better agreement with experiment than the results of the mixture length theories and furthermore the theory also leads to the theoretical distributions ot the mean squares of velocity fluctuation, on account of the presence of the higher order velocity correlations in the equations, it continuously leads to unclosed systems of differential equations and hence meets difficulties which are difficult to overcome. Therefore, based upon the above retrospect of the developments of the theory of turbulence and the recent work on the vorticity structure of the homogeneous isotropic turbulence in its final period of decay, we finally propose a new approach to the turbulence problem: The basic component motion of turbulence is vortex motion due to the action of viscosity of the fluid. The dynamical equations which govern the vortex motion of turbulence are Reynolds' equations of mean motion and the equations of velocity fluctuation derived from the Navier-Stokes equations by the averaging process. We also emphasize the importance of Reynolds' recognition that the turbulent motion of a fluid can be separated into the mean motion and fluctuation. The future theoretical investigation is to look for the vortex motions which are solutions of these two sets of equations. In order to make the solutions of the problem unique and comparable with experimental measurements, they should also satisfy statistical conditions on the distribution of vortices analogous to Kol-mogoroffs condition in his statistical theory of locally isotropic turbulence at high Reynolds number turbulent flows.

这篇论文的内容是关於不可压缩流体的湍流理论近代发展的综合性介绍舆分析。我们首先评述了根据Reynolds的平均运动方程所建立的混合长度理论。其次,分析关於均匀各向同性湍流的主要理论工作。第三,讨论了运用Reynolds的平均运动方程和根据速度涨落方程求得的速度关联函数的动力学方程来处理具有Reynolds剪应力的普通湍流运动问题。同时说明这个方法虽然能够给出比混合长度理论舆实验较为接近的理论结果并能提出速度涨落平方平均值的理论分布,但是由於在求出的速度关联的动力学方程中出现高次元的速度关联,它继续地导致不封闭的微分方程组因而遇到不易克服的困难。因此,从以上湍流理论发展的回顾和最近关於均匀各向同性湍流在后期衰变运动的涡性结构工作,我们在最后提出了对今后湍流理论研究工作的新看法:湍流运动的基本组成部分是流体粘性作用所引起的涡旋运动;这个涡旋运动的动力学根据是用平均的方法后Navier-Stokes方程所导出的Reyonlds的平均运动方程典带度涨落方程。我们并着重说明Reynolds认识到湍流运动可分作平均运动与涨落运动的重要性。今后的理论工作则在於求这两组动力学方程的涡旋运动解,而这种类型的解并须满足像在高Re...

这篇论文的内容是关於不可压缩流体的湍流理论近代发展的综合性介绍舆分析。我们首先评述了根据Reynolds的平均运动方程所建立的混合长度理论。其次,分析关於均匀各向同性湍流的主要理论工作。第三,讨论了运用Reynolds的平均运动方程和根据速度涨落方程求得的速度关联函数的动力学方程来处理具有Reynolds剪应力的普通湍流运动问题。同时说明这个方法虽然能够给出比混合长度理论舆实验较为接近的理论结果并能提出速度涨落平方平均值的理论分布,但是由於在求出的速度关联的动力学方程中出现高次元的速度关联,它继续地导致不封闭的微分方程组因而遇到不易克服的困难。因此,从以上湍流理论发展的回顾和最近关於均匀各向同性湍流在后期衰变运动的涡性结构工作,我们在最后提出了对今后湍流理论研究工作的新看法:湍流运动的基本组成部分是流体粘性作用所引起的涡旋运动;这个涡旋运动的动力学根据是用平均的方法后Navier-Stokes方程所导出的Reyonlds的平均运动方程典带度涨落方程。我们并着重说明Reynolds认识到湍流运动可分作平均运动与涨落运动的重要性。今后的理论工作则在於求这两组动力学方程的涡旋运动解,而这种类型的解并须满足像在高Reynolds数运动的局部各向同性湍流理论中所提出的统计条件,方能使解满

A second-approximation solution for the pressure distribution between two elastic bodies in contact is presented. In addition to the terms used by Hertz as the description of a general surface of contact, the present theory will contain the next higher-order terms of its Taylor's series expansion, such that the coefficients of the Hertz second power terms as well as the dominant fourth-power term is satisfied. Hence, the second order effect is a correction to Hertz theory which increases both...

A second-approximation solution for the pressure distribution between two elastic bodies in contact is presented. In addition to the terms used by Hertz as the description of a general surface of contact, the present theory will contain the next higher-order terms of its Taylor's series expansion, such that the coefficients of the Hertz second power terms as well as the dominant fourth-power term is satisfied. Hence, the second order effect is a correction to Hertz theory which increases both with the increase of normal load and with the increase of eccentricity of the contact. ellipse. method of change of variables is adopted in the process of integration. The solution, thus obtained, agrees exactly with that obtained by Cattaneo when reduced to his special case of two solids of revolution in contact.To illustrate the usefulness of the present theory, the problem of contact between a ball and the outer race of a ball bearing is studied. Curves are plotted to show that the relative magnitude of the second order effect varies with the shape ratio of the contact ellipse at various normal loads.

本文中提供了關於彈性接觸體間壓力分佈的一個二次近似解。解中的高次量效應是對赫芝理論的一個改進;它的影響隨着外力或接觸椭圓面偏心率的增加而顯得更重要。因此這個解在某些實際應用上如滚珠軸承中滾珠与珠槽間的接觸問題,是较需要的。同時當接觸體均為迴轉體這一特殊情况下、本文解答就同凱泰尼奥之解,完全一致。

Until now,past data are not utilized in numerical weather forecastingowing to the particular formulations of the problem.It is pointed out in thispaper that the condition for solution,formed by whole set of available mete-orological data,is not competible to the general system of weather equations.Thus it is neccessary to study the best way of formulation of the problemusing the available meteorological data as much as possible in the conditionfor solution,in order to obtain the optimum way of forecasting.Two...

Until now,past data are not utilized in numerical weather forecastingowing to the particular formulations of the problem.It is pointed out in thispaper that the condition for solution,formed by whole set of available mete-orological data,is not competible to the general system of weather equations.Thus it is neccessary to study the best way of formulation of the problemusing the available meteorological data as much as possible in the conditionfor solution,in order to obtain the optimum way of forecasting.Two possi-bilities are given.Firstly,it is shown that under certain condition,weatherforecasting may be formulated as an evolution problem,in which the pastdata are utilized.Secondly,past data could also be partly utilized in aninitial value problem in which the system of weather equations,with certainmeteorological variables eliminated,contain higher order time derivatives.Thesignificance of these formulations is discussed.

本文指出在天气数值预报中要解的天气方程组与我们能有的求解条件是不相配称的.因此需要研究如何把方程组化成最合适的形式而最充分地利用可能有的定解条件(特別是最可靠最完全的气象量测的分布)以使预报效果最好.在某些情形下,天气数值预报可以提成“演变”问题,从而可能使用过去的资料.作为某一气象量的初值问题,天气数值预报也可能使用一部分过去资料.而在以前的天气数值预报是并不使用过去天气资料的.本文最后讨论了这样提法的意义.

 
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