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equation
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    Basic Study of Electromagnetic Scattering from Dielectric and Coated Structures--Integral Equation Method and Its Fast Solver
    介质以及涂敷介质结构电磁散射特性的基础研究——积分方程法及其快速求解
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    Studies on Equation of State and Opacity of Liquid Argon
    液氩物态方程和辐射不透明度研究
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    Generation of Shockwave for Equation of State Measurements Using Long-pulsed KrF Laser
    利用长脉冲KrF激光产生用于状态方程测量的冲击波
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    Researches on Electromagnetic Scattering Algorithms Based on Integral Equation
    基于积分方程的电磁散射算法研究
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    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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  方程式
    A Model Equation of Boltzmann Equation for Binary Gas Mixtures
    二元混合气体玻耳兹曼方程式的一种模型方程式
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    The Solution of Equation A|Ψ> =|ψ>and Perturbation Theory of Bound States
    方程式A|Ψ>=|ψ>的解与束缚态的微扰理论
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    Calculation and Analysis of Sound Wave Frequency Dispersion Equation Roots in the Level Fluid Layer
    水平流体层中声波频散方程式根的计算与分析
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    First,a governing equation for relating the radiation mode and structural mode is given based on the characteristics of the modes.
    首先从声辐射模态和振动模态的概念出发,利用结构振速的模态叠加特性,建立了两种模态之间的联系方程式
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    This model equation satisfies the macroscopic conservation equations of mass, total momentum, and total energy, satisfies the H theorem, and possesses the same solutions as the Boltzmann equation in both molecular flow and viscous flow limits.
    此模型方程式满足宏观的质量、总动量和总能量守恒方程式,满足H定理,并且在分子流和粘性流两个极限情况下给出与玻氏方程式相同的解答。
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  方程组
    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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    The Necessary Condition on the Global Existence of C~1 Solution to 2-D Compressible Euler Equation
    二维可压缩Euler方程组C~1解整体存在的必要条件
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    Schrdinger Equation′s Gauge Variance and Maxwell Equations
    薛定谔方程的规范变换与麦克斯韦方程组
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    Analyzing Maxwell Equation With Contrast
    采用对比方式浅析Maxwell方程组
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    NEW EXACT SOLITARY WAVE SOLUTIONS TO THE TWO DIMENSIONAL DISPERSIVE LONG WAVE EQUATIONS AND THE MODIFIED KADOMTSEV-PETVIASHVILI EQUATION
    二维色散长波方程组与Modified Kadomtsev-Petviashvili方程组的新的精确孤立波解
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  “equation”译为未确定词的双语例句
    STATIC SPHERICALLY SYMMETRIC SELF-DUAL SOLUTIONS OF THE YANG-MILLS FIELD EQUATION AND 'THOOFT-POLYAKOV MONOPOLES DISTRIBUTED CONTINUOUSLY ON A SPHERE
    同步球对称静态Yang-Mills 自对偶解和连续面分布的’tHooft-Polyakov磁单极
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    A NEW MODE-LOCKED EQUATION FOR SYNCHRONOUSLY PUMPED DYE LASERS AND ITS SOLUTION
    适用于CW同步泵浦染料激光器的锁模方程及其解
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    Derivation of Frequency Equation of Doppler Effect of Light
    光的多普勒效应频率公式的推导
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    Study of the Multidimensional Kramers'Equation
    多维Kramers公式的研究
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    Water-Aromatic Liquid-Liquid-Vapour Equilibrium Calculation Using a Cubic Equation of State
    Water-Aromatic Liquid-Liquid-Vapour Equilibrium Calculation Using a Cubic Equation of State
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  equation
For these polynomials we prove an integral representation, a combinatorial formula, Pieri rules, Cauchy identity, and we also show that they do not satisfy any rationalq-difference equation.
      
The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type and the face type.
      
The inverse conductivity problem to the the elliptic equation ${\rm div}((1+(k-1)\chi_D)\nabla u)=0\ {\rm in }\ \Omega$ is considered.
      
As applications, the wave equation on?+ × ?+ and the heat equation in a semi-infinite rod are considered in detail.
      
Pointwise fourier inversion: A wave equation approach
      
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In this paper, as suggested by the classical canonical equations, a new set of the corresponding relativistic equations is set up. Therefrom a relativistic form of Heisenberg's equation is deduced. The rclalivistic Hamiltonian system of a particle according to the formulation here established has been fully discussed and by following it, however, Diracs equation appears naturally as a necessary form of relativistic wave equation tor electron in quantum mechanics. The process of...

In this paper, as suggested by the classical canonical equations, a new set of the corresponding relativistic equations is set up. Therefrom a relativistic form of Heisenberg's equation is deduced. The rclalivistic Hamiltonian system of a particle according to the formulation here established has been fully discussed and by following it, however, Diracs equation appears naturally as a necessary form of relativistic wave equation tor electron in quantum mechanics. The process of taking square root in Dirac's theory is seen to have its classical analogy. Finally, some applications of the relativistic Heisenberg's equation to Dirac's theory have been discussed and it has thereby been pointed out that this equation brings some quantities to being more symmetrical in the relativity sense and also some more general than those the non-relativistic equation can introduce.

在本文中,作者推得一组相对论式的汉密尔敦运动式;并根据此运动式,详细地讨论了一质点之运动;由此还可以很自然地看出,在量子力学中,狄拉克电子方程式似乎是一个必然的波动方程式。在狄拉克理论中的取平方根步骤在这里找到它在古典物理学中的对照。同时根据了上面的理论,作者还推得到一个相对论式的哈生堡方程式,最后则讨论了此方程式在狄拉克电子理论中的一些应用;同时并指出,在相对论的观点上,此方程式可以引导出一些比较对称的及有比较普遍形式的物理的量。

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...

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 paper investigates the general and complete form of slope-deflection equations used in structural analysis. The word "complete" indicates that all the possible deformations (deflections and rotations) and all the strain energies (due to shear, direct stress and flexure) are included in the equations. The definitions, numbers, and relations of member constants are then discussed and the general equations for computing these constants are given. By neglecting the factors of minor importance,...

This paper investigates the general and complete form of slope-deflection equations used in structural analysis. The word "complete" indicates that all the possible deformations (deflections and rotations) and all the strain energies (due to shear, direct stress and flexure) are included in the equations. The definitions, numbers, and relations of member constants are then discussed and the general equations for computing these constants are given. By neglecting the factors of minor importance, the general form is reduced to the usual slope-deflection equations. Some special forms of such equations which are useful in certain practical problems are also discussed briefly, such as the slope-deflection equations including the effect of direct stress on flexure and the slope-deflection equations of semi-rigid frames. Slope deflection equations for trussed bents are also presented.

本文旨在:(1)提出完全的角变位移方程,使可精确的解算任何形式的平面刚构,只要其能视为由若干桿件组成即可。这里的所谓“完全”,系指方程中已包括一切可能的形变值在内,而且包括轴向应力及剪应力之影响。(2)全面的讨论桿件常数的定义、数量和相互关系,并供给计算各常数的最一般性公式。(3)将上述全面的和精确的公式逐步简化,以便与目前常用的公式比较。(4)讨论某些特殊情况。

 
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