查询词典 boundary form

In this thesis, we provide a simpler form of the axisymmetric boundary integral equation, and modify some aspects of the direct boundary integral method.

本论文给出了轴对称情形下边界积分方程的一个更简单的形式，并在若干方面改进了直接的边界积分算法。

By using thenatural boundary element method which is set up by professor Feng Kang,the Neu-mann boundary problem of the harmonic equation on the half-upper plane is reducedto the Hadamard type singular integral equation,the integral region of which is un-bound,and then we turn it into corresponding bilinear form.

通过由冯康教授开创的自然边界元方法，将上半平面调和方程的Neumann边值问题归化为Hadamard型强奇异自然边界积分方程，并且此积分方程是无界域上的强奇异自然边界积分方程，然后将它转化为相应的变分形式。

If the first group of curves you select form a closed boundary, the surface will be trimmed to that boundary.

如果你选择的第一组曲线来自一个封闭的边界，生成的曲面将被这个边界修剪。

Based on the perfectly matched layer absorbing boundary condition, a new form of PML absorbing boundary condition in cylindrical coordinate suitable for optical fiber is derived.

在已有的完全匹配层吸收边界条件的基础上推导了圆柱坐标系下适用于光纤计算的PML吸收边界条件。

R~n(n≥0) is a bounded domain with smooth boundaryΩ;ΔisLaplace operator; u and v, respectively, denote populaton densities of prey andpredator species, inhabit the domainΩ; a_i, b_i, c_i, D_i(i=1,2) are positive constants.the form of boundary parameter B is?

R~n(n≥0)是边界Ω充分光滑的有界区域；△为Laplace算子；u，v分别表示区域Ω中食饵和捕食者的密度，参数a_i，b_i，c_i，D_i(i=1，2)均为正常数，而边值参数B形式为这里的？

First, the physical models associated with dislocations and cracks are respectively converted to mixed boundary value problems in mathematics. Secondly, by using the Fourier transform, a dual integral equation for a crack and an algebraic equation for a dislocation can be derived from the boundary conditions relating with a crack and a dislocation, respectively. Solving these equations, exact analytical solutions can be obtained in terms of Bessel functions in close-form.

先把位错和裂纹的物理模型写成与它们相关的边值问题，然后，利用Fourier变换将这些边值问题化成一个对偶积分方程(对位错而言，得到一个代数方程)，求解此对偶积分方程，可以获得以Bessel函数给出的封闭形式的分析解。

For each potential instability mode,a critical point on the boundary of the security region was found,in which the normal vector was used to form the hyperplane to simulate the boundary of the s.

对每一种潜在的失稳模式，搜索其动态安全域边界上的一个点，根据临界点处的法向来求解用于模拟动态安全域边界的超平面。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

Results:1 CT demonstrated clear boundary and homogenous density in symptomless, near oval and symmetry. Normal cross section areas of scalene anterior muscle is 1.3793±0.0948cm2, normal CT value is 54.594±2.0106; 2 Cross section form of patient anterior scalene muscle is irregulation, adherence to tissue around, boundary not pure. Statistics display this area and CT value has obvious significant difference in symptomless group and patient group(P.01); 3 After one course, it shows 87.5%/100% of success rate and valid rate respectively in the short-term, as well as 71.8%/93.75% in the long-term.

结果：1 无症状者前斜角肌横断面形态双侧对称，成近椭圆形，轮廓清晰，与周围组织界限清楚，两侧横断面面积及CT值相近，C6上缘-C7上缘水平正常前斜角肌横断面面积为：1.3793±0.0948cm2 ，CT值为：54.594±2.0106；2 前斜角肌综合征患者患侧前斜角肌横断面形态不规则，与周围组织粘连，界限不清，统计显示患侧横断面面积较正常值增大，P＜0.01，差异非常显著，CT值较正常值增大，P＜0.01，差异非常显著；3 手法治疗1疗程后，随访显示近期优良率87.5%，有效率100%，远期优良率71.8%，有效率93.75%。

Results:1 CT demonstrated clear boundary and homogenous density in symptomless, near oval and symmetry. Normal cross section areas of scalene anterior muscle is 1.3793 0.0948cm2, normal CT value is 54.594 2.0106; 2 Cross section form of patient anterior scalene muscle is irregulation, adherence to tissue around, boundary not pure. Statistics display this area and CT value has obvioussignificant difference in symptomless group and patient group(P.01); 3 After one course, it shows 87.5%/100% of success rate and valid rate respectively in the short-term, as well as 71.8%/93.75% in the long-term.

结果：1无症状者前斜角肌横断面形态双侧对称，成近椭圆形，轮廓清晰，与周围组织界限清楚，两侧横断面面积及CT值相近，C_6上缘-C_7上缘水平正常前斜角肌横断面面积为：1.3793±0.0948cm~2，CT值为：54.594±2.0106；2前斜角肌综合征患者患侧前斜角肌横断面形态不规则，与周围组织粘连，界限不清，统计显示患侧横断面面积较正常值增大，P＜0.01，差异非常显著，CT值较正常值增大，P＜0.01，差异非常显著；3手法治疗1疗程后，随访显示近期优良率87.5％，有效率100％，远期优良率71.8％，有效率93.75％。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。