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  differential
    A Study on Exact Solutions and Lie Symmetries of Differential Equation with Symbolic Computation
    微分方程精确解及李对称符号计算研究
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    THE DIFFERENTIAL CURVE OF T_c WITH RESPECT TO λ
    T_c对λ的微分曲线
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    THE MEASUREMENTS OF THE INTERNAL QUANTUM EFFICIENCY AND THE EXTERNAL DIFFERENTIAL QUANTUM EFFICIENCY OF SEMICONDUCTOR LASERS
    半导体激光器微分外量子效率及内量子效率的测量
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    THE VERTICAL DIFFERENTIAL MOMENTUM SPECTRUM OF THE MUON AT 3200M ABOVE SEA-LEVEL
    海拔3200米的μ子垂直微分动量谱
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    Application of differential ray tracing equations in automatic design
    微分追迹公式在自动设计中的应用
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  differentiation
    Optical differentiation by composite holographic grating recorded with nonlinearity
    用非线性记录的全息复合光栅进行光学微分
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    The image differentiation by Crossed-Ronchi-Grating
    用交叉Ronchi光栅作图像的微分
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    Optical Differentiation Using Image Plane Hologram
    用像平面全息图进行光学微分
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    Time differentiation effect and image tracking of KNbO_3:Fe crystal
    KNbO_3:Fe晶体的时间微分效应及图像追踪
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    After testing,the output power of the high-luminated semiconductor laser's luminous CMOS chip,which produced by adopting this new technique is 3.6w. It has many merits when compared with the uncoated apparatus. The power has been raised by 2.5 to 3.1 times,the quanta efficiency of the external differentiation has been improved to 89.76%,and the power efficiency has been achieved 40.2%.
    经测试采用这种技术制作出的高亮度半导体激光器发光芯片的输出功率达3.6W,与未镀膜的器件相比功率提高了2.5-3.1倍,外微分量子效率提高到89.76%,功率效率达到40.2%。
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  differential in
    Application of exterior differential in field theory
    外微分在场论中的应用
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    This paper gives out PVT system's Equation of state and Equation of differential in thermodynamics. Discussing the derivative of P. V. T. S, we define for system'sbasic derivative of thermodynamics.
    给出了PVT系统的物态方程和热力学微分方程,并通过对描述PVT系统的四个热力学量P、V、T、S的偏导数的讨论,确定了为PVT系统的三个基本热力学偏导数。
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  “微分”译为未确定词的双语例句
    ANALYSIS ON DOUBLE DIFFERENTIAIAL CROSS SECTIONS OF ̄Be(n,2n)REACTION
    ~9Be(n,2n)反应能量角度双微分谱分析
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    The Independence of Equations for Vector Potential A and Scalar Potentiai φ of Electromegnetic Field
    电磁场的势A和φ的微分方程的独立性
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    The Method of Establishing Trasient Process' Diffrential Equation
    建立暂态过程微分方程的一种方法
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    Image edge enhancement with nonlinear effect of Fourier transformation holography
    利用傅氏变换全息图的非线性记录实现图象微分
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    A computational scheme of Runge-Kutta method is presented for Grüneisen state equation with adiabatic impact relation.
    从Grüneisen状态方程、冲击绝热关系出发,给出求解相关微分方程组的Runge-Kutta法格式.
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  differential
In our paper [KR] we began a systematic study of representations of the universal central extension[InlineEquation not available: see fulltext.] of the Lie algebra of differential operators on the circle.
      
We express them in terms of generatorsEij ofU(gl(n)) and as differential operators on the space of matrices These expressions are a direct generalization of the classical Capelli identities.
      
Quantum integrable systems and differential Galois theory
      
This paper is devoted to a systematic study of quantum completely integrable systems (i.e., complete systems of commuting differential operators) from the point of view of algebraic geometry.
      
In particular, we show that the differential Galois group of this eigenvalue problem is reductive at generic eigenvalues.
      
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  differentiation
Of special interest are the Mellin operators of differentiation and integration, more correctly of anti-differentiation, enabling one to establish the fundamental theorem of the differential and integral calculus in the Mellin frame.
      
There are reverse inequalities for square functions of differences arising in ergodic theory and differentiation of functions.
      
Prolate Spheroidal Wavelets: Translation, Convolution, and Differentiation Made Easy
      
We extend the results by Jones and Rosenblatt about the series of the differences of differentiation operators along lacunary sequences to BMO and to the setting of weighted Lp spaces.
      
A nonlinear proportion integration differentiation (PID) controller is proposed on the basis of recurrent neural networks, due to the difficulty of tuning the parameters of conventional PID controller.
      
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  differential in
On the influence of temperature differential in the clearance on the carrying capacity of a radial gas bearing of finite length
      
However, a principal disadvantage of these methods is the inability to describe systems possessing differential (in particular, small) transverse rigidity.
      
A form of three-boson Skornyakov-Ter-Martirosyan equations differential in the momentum space is proposed.
      
Thus two-dimensional differential in-gel electrophoresis was employed to compare the ventral hippocampal proteomes between different treatment groups in the chronic mild stress (CMS) model of depression.
      
Gender equality and the sex differential in suicide rates using gender-age standardized data
      
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Equations determining the velocity and density distributions within the mixing region of two incompressible gases with different densities are set up, their temperatures being assumed to be the same. For incompressible mixing the total number of gas molecules per unit volume is constant, although the density of the gaseous mixture varies from point to point due to diffusion of matter. As an illustration we consider the plane jet and steady motion. The boundary layer method of approximation can still be applied....

Equations determining the velocity and density distributions within the mixing region of two incompressible gases with different densities are set up, their temperatures being assumed to be the same. For incompressible mixing the total number of gas molecules per unit volume is constant, although the density of the gaseous mixture varies from point to point due to diffusion of matter. As an illustration we consider the plane jet and steady motion. The boundary layer method of approximation can still be applied. The boundary of the jet is shown to be the same as that for one fluid. The solution of the problem then depends upon the numerical value of the coefticient of viscosity of the mixture which is a function of the number of molecules of each constituent gas in the unit volume. The present method of investigation is applicable to the cylindrical and half jets and also to the case where the two gases are at different temperatures.

本文求出规定二不能压缩气体的分片合流运动时,速度与质量密度分布的微分方程式。假定两种气体的密度不同但温度则相等。不能压缩的定义是每单位体积中的两种气体分子数的和不变。本文只讨论一平面守恒注中所需要的微分方程式。粘滞流体运动中之边界近似法仍可应用。同样方法亦可用到守恒圆柱体注,半注及气体中温度不同诸问题。

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...

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

~~

利用强相互作用的不变性,通过普洛卡(Proca)方程,决定任意具有强相互作用的自旋为1的粒子的一般电磁结构的可能的形状因子。由此计算了电子与氘核的散射的微分截面。结果可用于自旋为1的粒子的电磁结构的实验分析。

 
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