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Constitutive model: Based on the energy principle of fracture mechanics, energy addition theorem and statistical theory of rock-mass structure, a constitutive model of anisotropic equivalent continuum is derived.

裂隙岩体的本构理论运用断裂力学能量原理和能量可加性原理及岩体结构统计理论，导出了裂隙岩体的各向异性等效连续介质本构模型，并对柔度张量和等效应力作了讨论。

From the theory, the algorithm for determination of the degree of implicit polynomials is followed: detecting the stationary points in the object boundary based on its features, and then calculating the minimum degree according to the formula derived from the theorem. In addition, the theory can be extended to three-dimensional object.

该方法首先由给定物体边界的轮廓检测出其驻点数，然后根据驻点数得到拟合隐含多项式曲线方程次数的下界，进而推广到三维物体的隐含多项式曲面拟合次数的确定。

The scattering coefficients of a single charged sphere are deduced. And with spherical vector wave functions and addition theorem, the scattering coefficients of multiple charged and uncharged spheres are derived. The sampling method of simulating a Gaussian beam in use of MC is provided.

详细推导了单个带电球粒子的散射系数；并采用矢量波函数展开方法结合矢量波函数的加法定理导出了高斯波束入射多个带电/不带电球粒子的散射系数；提出了用MC模拟高斯波束的抽样方法。

Then the relationship which unknown coefficient satisfies from additional condition is derived. We deduce the existence and uniqueness of solution of the pseudoparabolic equation at last.

首先在假定系数已知的条件下，求出方程的形式解，然后再利用附加条件得到未知系数满足的关系式，最终给出了此类反问题解的存在唯一性。

For the specific example illustrated in this section, according to the results derived from empirical analysis, incorporating spatial dependence as an additional regressor in the error structure in original model is likely more acceptable.

对于本文的示例而言，尽管OLS估计的所有系数都是强显著的，但拟合程度较低，回归模型的简单形式可能不甚合理。

In this paper, the group additive method of repeated unit is used to calculate the solubility parameter of alkyd resin from its oil length. Equations of three dimension solubility parameter of alkyd resin calculated from its oil length are derived.

本文采用重复单元基团加和法计算了醇酸树脂不同油度的溶度参数，进而整理出一组随油度改变的醇酸树脂的二维溶度参数的方程式。

Additivity of average mutual communication is proved, based on this, inequality for general correlation coefficients is derived, and the necessary and sufficient condition is obtained for equality.

证明了平均互信息的可加性，在此基础上得到了广义相关系数不等式，并给出了等式成立的充要条件。

Within 6 h, a 1-pyridoxamino-propenal adduct derived from reaction of equimolar PM+MDA was detected.

PM也抑制了MDA修饰的BSA中老年色素类荧光物质的形成。

A base found in DNA and derived from pyrimidine; pairs with adenine.

dna 中的一种碱，由嘧啶衍生而来，与腺嘌呤成对。

The adherent cells derived from human placenta and umbilical cord blood have the basic features of mesenchymal stem cells.

胎盘和脐血来源的贴壁细胞具备间充质干细胞的基本特征。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48