变分方程

The characteristics equation for the distance is derived by using the variational formulation for a generalized resonator.

应用谐振腔的变分公式，导出了确定短路面之间距离的特征方程。

The method uses expansion in terms of scaling functions to approximate the axial field component and transforms the field equation into a matrix equation by applying a variational formulation.

在该方法中，用尺度函数把场分量近似为级数，通过变分公式把波导问题化为矩阵方程。

Weak formulation of mixed state equations including boundary conditions are presented in a cylindrical coordinate system by introducing Hellinger_Reissner variational principle.

从Hellinger_Reissner变分原理出发，在柱坐标系中，导出圆柱壳的弱形式混合状态方程和边界条件，联用状态空间法给出叠层柱壳的解析解，此法使得求解该类问题的形式得以扩大和统一。

The improved variational-perturbation method based on integral equation (variational-integral perturbation method) is applied to solve the quartic anharmonic oscillator in the ground state.

利用基于积分方程的改进的变分微扰方法求解四次方非谐振子基态。

According to Fermat's theory and variational calculation, the mathematical model of sound path in dissymmetrical temperature field is established. Furthermore, the sound path equation is solved.

根据Fermat原理和数学变分方法，建立了非均匀温度场中的声传播路径的数学模型，并求出声线方程。

The spectrum of cut-off frequencies is discussed in electromagnetical symplectic system. The wave number k is given and the cut-off frequencies are computed.

在电磁波导辛体系内讨论波导的通过谱，给出一定的波数并建立相应的变分原理，得出本征值方程并计算了波导的截止频率。

With the similarity between electromagnetical fields and structural mechanics, the electronic E and magnetic H are considered as two duality variables. With the variational principle, the system is introduced into symplectic geometry of Hamiltonian duality equations.

根据电磁场问题与结构力学的类比关系，把电场量E和磁场量H作为二类变量，通过变分原理寻求一般条件下的解法，将体系导入Hamilton对偶方程的辛几何形式，给出了电磁波导的Hamilton辛体系，并给出了辛本征值问题的表达形式。

In this paper the curved spine box girder was taken as a research object,and the shear displacement difference function of large flange plate was put forward.

以曲线脊骨箱梁为研究对象，提出了长悬臂板的剪切位移差函数模式，建立总势能表达式，并应用变分原理导出求解曲线脊骨箱梁剪力滞的基本微分方程和边界条件。

The interface shearing force's differential equations were established based on various principle, in which the energy of strain for concrete flange plate and cold formed steel U section beam and shear connector are calculated.

分别计算混凝土板、剪力连接件、U型钢的应变能，利用变分原理建立冷弯U型钢与混凝土组合梁的界面剪力微分方程。

In this paper, using thermodynamic formalism for sub-additive potential defined in [4], upper bounds of Hausdorff dimension and box dimension of non-conformal repellers are obtained.

作者利用确定性的次可加拓扑压的变分原理，给出了非共形排斥子的Hausdorff维数的一个上界估计，证明了Barreira， Falconer， Zhang Yijing等人的几个不同形式的上界的估计是一致的，同时把他们的不同形式的上界统一成广义Bowen 方程的根。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。