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According to the hypothesis of continuum, a tube with the corner strengthened is gained to make an equal of the frame-tube. B3-spline functions and parabola functions are applied to simulate the displacement functions of the frame-tube. The system of equations about the undetermined coefficients of displacement functions is deduced by using energy-variational principle, by solving which the displacement of the frame-tube is gained. Then the internal forces in the columns and beams of the former frame-tube are obtained according to the principles of elasticity mechanics.

根据连续化假设将框筒等效为角部加强筒体，将三次样条函数与抛物线函数结合假定框筒的位移函数，运用能量变分原理推导出了关于位移函数待定系数的方程组，解得位移函数待定系数进而解得框筒的位移，再根据弹性力学原理确定原框筒中梁柱的内力。

The atmospheric mean horizonal convergence in two examples is calculated using the two modified EVAD methods,the convergence obtained is then adjusted with the variational method,and the vertical velocity is computed in ter...

根据这2种改善的EVAD方法，分别计算出大气平均散度，再用变分法对散度值进行调整，然后利用连续方程，计算大气的垂直速度，并对各种结果进行了比较分析。

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函，运用泛函势算子理论，从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势，进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

Mechanics has two main branches,Lagrangian mechanics and Hamiltonianmechanics:Lagrangian mechanics is based on variational principles and Hamil-tonian mechanics is based on symplectic structure of cotangent space.

力学有两大主要分支：基于变分原理的Lagrangian力学和基于余切空间的辛结构的Hamiltonian力学。

In cylindrical coordinate system,a modified mixed variational principle with viscous damping force is established and the corresponding state-vector equation is derived.

建立了圆柱坐标系下包含粘滞阻尼力的修正后的Hellinger-Reissner变分原理，推导了对应的状态向量方程。

The person that decorticate says:" Chi Zha the Three Kingdoms " field is stationed in the set of arms, it is probably " grandchildren strategics " strike where the enemy is unprepared of medium do with sb unconscious, politic to a war kind for webpage game, can promote the diversity of the battle, variational setting, it is very absorbing window.

剥皮者说：《叱咤三国》野外驻兵的设定，大概就是《孙子兵法》中的出其不意攻其不备吧，对于一款战争策略类的网页游戏来说，能提升战斗的多样性、变化性的设置，都是非常吸引人的亮点。

Based on nonlinear integral equation,the inversion equation is derived by using the variational principle.

该方法基于非线性积分方程，利用变分方法来建立反演方程。

Based on the superpotentialfunction,the variational principle on different function sets is derived for elastoplasticfrictional contact problems.

利用超势函数概念，导出了在不同函数集上的弹塑性摩擦接触问题的变分原理。

The variational current of dew point was high at noon.

水稻群体中露点温度的脉动远大于温度和相对湿度，总的趋势是中午露点温度较高。

It is known theoretically that to the variational problem with weak constraints in cost functional J, its Euler equation can be discreted into difference format, by using matrix theory and difference method of partial differential equation we know that there exists optimal selection of weight factors in the cost functional under the condition of minimal variance between analysis field and ideal field.

从理论上可知，对于目标泛函J带有约束条件的变分问题，将其Euler方程离散成差分形式，利用矩阵理论和偏微分方程的差分方法，则目标泛函的权重因子，在分析场和理想场的最小方差意义下存在最优选取。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。