定义方程

Adiabatic surfaces are defined within the Born–Oppenheimer approximation by the energy of a given solution to the electronic Schrodinger equation at each geometry.

绝热势能面是在波恩-奥本海默近似的框架内定义的，指的是在每个几何构型下，电子薛定谔方程的本征值，即能量。

Let D be a bounded domain with C(1) boundary in Cn . The authors use the locally finite open coverring of the countable strictly pseudoconvex to define a new partitions of unity of σpoint finite local holomorphic , constructed a generalized Cauchy integral formula with discrete local holomorphic kernel on the bounded domain D and applied it to solving the 52equation.

设D 是Cn 空间中具有C(1)边界5D 的有界域，本文利用D 上一个局部有限的可数强拟凸开复盖，定义了D上一个新的局部全纯的σ点有限的单位分解，建立了D上一个更一般的具有离散局部全纯核的Cauchy积分公式并获得D 上52 方程的具有离散核的解的积分表示。

The problem of a curved rigid line or crack crossing the interface of the circular inclusion are studied by the principal part analysis method of Cauchy type integral equation. The singular stress index at the intersection and the singular stress at the angular regions near the intersection are obtained. The singular stress coefficients of rigid line at intersection and the stress intensity factors of crack at intersection are defined by using the singular stress.

利用Cauchy型奇异积分方程的主部分析方法对曲线型刚性线和曲线裂纹和圆夹杂界面的相交问题进行了研究，得出刚性线以及裂纹和界面交点处的奇性应力指数以及交点处角形域内的奇性应力，并利用奇性应力分别定义了刚性线在交点处的应力奇异因子和裂纹在交点处的应力强度因子。

In chapter 3,we consider the Cauchy problem of transportation equation 〓Which is referred to as the simplification model of gas dynamics equations with constantpressure,and prove the existence and uniqueness of weak solution.

在第三章，我们考虑了运输方程〓，2的Cauchy问题，并且证明了广义解的存在性。最后，我们考虑下列二维Cauchy问题〓通过引进新的广义解定义，证明了解的存在唯一性。这个解可能含〓波。

A root of the characteristic equation has previously been defined as value of s that makes D equal to zero and is given the symbol □.

特征方程的根前面已经定义为使D为零的s值，用符号□表示。

A root of the characteristic equation has previously been defined as a value of s that makes D equal to zero and is given the symbol .

项表示n个位于s平面原点的零极点，特征方程的根定义为使D等于零的s的值，用符号表示。

On the basis of convergence,this paper demonstrates the situations of internal technological efficiency within the state and in the three regions inspected with standard deviation,coefficient of variation,and Barro regression equation.

3在分析收敛定义的基础上，用标准差、变异系数和Barro的回归方程来验证了全国范围内和三大地区内部技术效率的收敛情况。

We establish the equivalent integral equations to these problems, and prove that the defined operator is completely continuous.

建立了与这些问题等价的算子方程，并证明了所定义的算子是全连续的。

In this paper, complex valued harmonic conjugate function is defined, Cauchy Riemann equations of complex valued harmonic functions are considered.

定义了复调和函数的共轭复调和函数，给出了复调和函数的Cauchy—Rie－mann方程，同时讨论了它们与解析函数之间的关

The modeling of UDMC is based on the component connection modeling idea, and UDMC accords with the universal component connection method in SSAP to participate in the formation of system state matrix.

自定义直流调制是利用元件连接的思路建模，按照软件中统一元件连接建模的方法参与形成系统状态方程。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。