对称差分

In this paper, the finite difference method for the homogenous initial boundary value problem of symmetric regularized long-wave equation is considered.

本文考虑了具有齐次边界条件的对称正则长波方程的有限差分方法。

Liouville"s Theorem on entire functions is proposed as a proving method for theta function identities. Several identities are exemplified, such as the quintuple and septuple product identities; four symmetric difference identities related to the Ramanujan"s congruence modulo 11 on the partition function; as well as two theta function identities on the Rogers-Ramanujan functions G and H.

作者提出利用Liouville定理作为证明theta函数恒等式的基本方法，并以Watson五重积，Hirschhorn七重积恒等式，四个与分拆函数中Ramanujan的模11同余有关的对称差恒等式，以及两个与Rogers-Ramanujan函数G，H有关的theta函数恒等式为范例，论证这种方法的有效性。

Wave equations, which were derivate from the stiffness Matrix of anisotropy monocline symmetry system, may meet different azimuth modeling of 2-D finite difference.

从各向异性单斜对称系统的刚性矩阵推导出的波动方程，可以满足EDA介质模型不同方位角入射的二维差分模拟要求。

If the step of the linear system question is not very high, direct solving method is better; if coefficient matrix of the linear system question is not regular and large-sparse matrix , direct solving method does not settle the storage question.

而在求解线性方程组的许多实际问题中，尤其在偏微分方程的差分方法与有限元方法求解问题之中，方程具有重要的特征，一是多为大型稀疏矩阵；二是满足一些条件如对称正定、对角占优等，这使迭代法得到广泛的应用。

In addition, new proofs are presented for two symmetric difference identities, as well as Ramanujans congruence modulo 11 on the partition function.

此外，作者重新证明其中另外两个对称差恒等式，并利用Chan的_∞~(10)的二重级数表示公式重新确认Ramanujan的关于分拆函数的模11同余性质。

The research has studied a type of double input direct current amplifier which is holohedral symmetry and whole complementry to get the work fundamental of this electric circuit, and investigate the basic way and principle of the design.

文中通过对一款双差分输入全对称全互补直流功率放大器进行分析，总结出了这一类电路的工作原理，并探讨了这类电路的基本设计方法和设计原则。

This method is also available for other problems of unsteady flow around complicated bluff bodies at medium or high Reynolds numbers and the results are used as reference for wake control The phenomena of the sinusoidally oscillating flow past a circular cylinder are also studied.

本文应用有限差分方法求解涡量-流函数形式的N-S方程，数值模拟了园柱瞬时起动后流动分离、旋涡生成、脱落以及随时间推进涡街产生和长期非定常演化过程，包括对称涡的生成，二次涡形成的α结构及卡门涡街等。

Energy deposition at the interface of the particles caused by micro-explosive welding in explosive consolidation of metal powders is analyzed by symmetrical impaction model of uncompressible liquid. Two-dimensional equation of energy in the flow field of explosive welding is deduced and solved by finite difference method. Then the distribution of the temperature in the flow field is calculated on the basis of considering the adiabatic compression.

摘 要：以不可压缩理想流体对称碰撞模型对金属粉末爆炸烧结中由微爆炸焊接引起的颗粒界面附近沉积的能量进行了分析，在考虑热传导效应的基础上推导出了焊接流场中二维形式的能量方程并用有限差分法对其进行了求解，在考虑冲击绝热压缩贡献的基础上计算出了焊接流场中的温度分布。

Simultaneously, compared with the nine-point difference scheme which are widely applied , our new schemes have more advantageous on non-orthogonal grids, for example, the convergent accuracy, the fast-solving of the discrete system and so on.

同时与目前广泛使用的九点差分格式(文[1])作了对比实验，发现新建的三种对称有限体格式在对非正交网格的适应性、收敛精度以及相应离散化系统的快速求解等方面具有明显的优势。

Chapter 4 is devoted to the existence and multiplicity of homoclinic for self-adjoint nonlinear second order difference equations by using "Mountain Pass " theorem and "Symmetry Mountain Pass "theorem in critical point theory.

第四章应用临界点理论中的山路引理与对称山路引理研究了一类自共轭非线性二阶差分方程的同宿轨的存在性与多重性。

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％。