查询词典 structure equations

Neutral differential equations with variable sign coefficients are separated into neutral differential equations with positive and negative coefficients by transformation. According to the characteristic of these equations, a real number set with supremum is constructed, and sufficient conditions for oscillation of all solutions to neutral equations with variable sign coefficients are obtained.

通过变换将具有变号系数的中立型微分方程分解为具有正负系数的中立型微分方程；分析具有正负系数中立型微分方程的特征，构造存在上确界的实数集；并对中立型微分方程的解作细致分析，得到了具有变号系数中立型微分方程所有解振动的充分条件。

Neutral differential equations with variable sign coefficients are separatedinto neutral differential equations with positive and negative coefficients bytransformation.According to the characteristic of these equations,a real number setwith supremum is constructed,and sufficient conditions for oscillation of all solutionsto neutral equations with variable sign coefficients are obtained.

通过变换将具有变号系数的中立型微分方程分解为具有正负系数的中立型微分方程；分析具有正负系数中立型微分方程的特征，构造存在上确界的实数集；并对中立型微分方程的解作细致分析，得到了具有变号系数中立型微分方程所有解振动的充分条件。

Based on orthogonal function unfolding theory, the transverse fields can be represented as a superposition of waveguide modes. And according to coupled-wave theory, the time-dependent multi-mode coupling-wave equations (or the generalized telegrapher's equations) and the coupling coefficients among the different modes were deduced. The generalized telegrapher's equations are a set of coupled one-dimensional partial differential equations for the amplitudes of the modes.

应用正交函数的展开理论，将变截面波导中的电磁场表示为横电波和横磁波本征模式的级数；然后根据耦合波理论，推导了考虑波导金属壁有限电导率的变截面波导时域多模耦合波方程组及各模式间耦合系数的表达式。

For obtaining the numeral solutions of round elastic plates in axisymmetrical deformation with varying-thickness in nonlinear deformation in the unsteady electromagnetic field and mechanical field,by establishing the equations of motion,the equations of distortion,the equations of Lorentz force,the equations of electronic dynamic mechenical,and adopting iterative method,we gained the nonlinear magneto-elastic calculation method and outcome of current-carrying shell,and gained the influencing degree toward mechanical parameter of varying thickness round ferreous plates in the electromagnetic field and mechanical field.

为了获得内边界固定的环形导电薄板在均布力与横向磁场作用下的变形问题的数值解，通过建立运动方程、变形方程、电动力学方程和洛仑兹力方程，运用迭代法得出了载流板壳的非线性磁弹性的计算方法和结果，以及机械场、电磁场对铁质变厚度圆板各力学参量的影响程度。

The results calculated by the Elovich rate equation showed that K release rates from 1 mol.L-1 HNO3 extraction ＞those from 2 mol.L-1 HNO3 extraction ＞those from H-resin extraction. Elovich equations combining with the data of H-resin and 2 mol.L-1 HNO3 successive extraction could well described the release characteristics of soil K. The correlation coefficients of the equations reached most significant levels (r＝0.956**—0.999**), and standard errors of specific K release capacities between the vaules calculated by the equations and those measured by both successive extractions were smaller(s=1.61 and 3.52). The specific release rates of soil K calculated by the Elovich rate equations were significantly correlated with the indices of soil K availability (the amounts of easily available K, nonexchangeable K, total available K in soils and K absorbed by ryegrass).

研究结果表明：1 mol.L-1 HNO3提取法的释K速率＞2 mol.L-1 HNO3提取法的释K速率＞氢饱和交换树脂提取法的释K速率；氢质交换树脂和2 mol.L-1 HNO3提取法结合Elovich模型较理想地描述了土壤K素的释放特性，拟合方程的相关系数均达极显著水平(r＝0.956**-0.999**)，土壤特征累积释K量的计算值与实测值的标准差较小(s=1.61和3.52)，且通过速率方程计算的土壤特征释K速率与K素有效性指标(速效K、缓效 K、有效K及黑麦草总吸K量)的相关性也较为密切。

Then he combined the evolution equations with the Euler equations, and finally got the model equations based on the quasi-conservative equations.

Shyue将该计算方法推广到基于一般刚性气体状态方程的γ模型和体积分数模型的准守恒型Euler方程组。

We also analyze the mechanism of the initial zinc blende structure and wurtzite structure phase transition in II-VI and III-V compound materials. The results indicate that the transition of zinc blende structure to rocksalt structure due to "chair" structure transform, the transition of wurtzite structure to rocksalt structure due to "chair" and "boat" structure transform.

对II-VI族和III-V族初始相为闪锌矿或纤锌矿的压致结构相变机制进行的分析表明，闪锌矿结构到岩盐矿的相变是因为"椅式"结构的变化，纤锌矿结构到岩盐矿的相变是因为"椅式"和"船形"两种结构的变化。

Sedimentation anyslys of soil under the action of deadweight; 2 Sedimentation anyslys of structure in using; 3 Endogen force anyslys of structure in using; 4 Soil remolding type anyslys; 5 Homogenous flush works anyslys; 6 Anyslys of the structure sedimentation effects of different flushing amount at the same place; 7 Anyslys of the structure sedimentation effects of different flushing places; 8 Anyslys of the structure sedimentation effects of different horizontal flushing places; 9 Anyslys of the structure sedimentation effects of different vertical flushing places; Getting the different between the endogen force of common structure and that of slant structure.

对掏土纠偏过程做了以下9个方面的分析：1、土体在自重作用下的沉降分析； 2、建筑物在使用阶段的沉降分析； 3、建筑物在使用阶段的内力分析； 4、土体受扰动类型分析； 5、均匀冲水施工过程分析； 6、同一个地方冲水量大小不同对建筑物沉降影响分析； 7、不同沉井冲水对建筑物沉降影响分析； 8、进深不同的土层冲水对建筑物沉降影响分析； 9、不同埋深土体冲水对建筑物沉降影响分析。

The sedimentary process of debris flow which has fundamental dynamic mechanism of flowing and creeping formed mainly various flowing structures, such as half-ring flowline structure, divided-flowing structure, bag-shaped flowline structure, divided-flowing structure, bag-shaped flowine structure, loaded structure, multiple-layered structure, washed gravel bed and lenssoiled-bed structure.

以流动和蠕动为基本动力机制的泥石流堆积过程多形成各种定向的流动构造，例如，半环状流线构造，分流构造，袋状流线构造、载荷构造、多层状构造、冲刷砾石层和透镜状土层构造。

Linear differential equations of the principle of superposition theory of linear differential equations play an important role, especially in solving linear differential equations of the nature and structure of play to solve the problem of reducing the complexity and difficulty of the role.

请帮忙翻译一下摘要，跪谢线性微分方程解的叠加原理在线性微分方程理论中占有重要地位，尤其是在解决线性微分方程解的性质和结构问题中起到了降低解决问题的复杂度以及难度的作用。

They have quite a lot of work to do.

他们有许多工作要做。

Let us give you a more elaborate example of this process.

让我们给你这个过程的更多的详细例子。