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By electromagnetic theory, for the case that the magnetic dipole source and the receiver are set in seawater, the general expressions of frequency_domain electromagnetic responses for a layered benthal model are deduced. From those, the transient response expressions of three common configurations—vertical magnetic dipole_dipole, central loop, and coincident loop, located on the surface of uniform half_space seafloor, are derived respectively, supposing that seawater is uniform half space, or its depth is finite.

根据电磁场理论，推导了磁偶源和接收点均位于海水中时层状海底模型的频域电磁场响应一般表达式，并通过此式，得到了海水为均匀半空间和有限海水深度两种情况下，垂直磁偶极装置、中心回线和重叠回线分别置于均匀半空间海底表面时的瞬变电磁响应表达式。

The coexistence curves and light scattering data for a critical solution of benzonitrile + octane have been reported. The critical exponents relating to the difference in the density variables between two coexisting phasesβ, the osmotic compressibilityγ, and the correlation length v have been deduced and the values were consistent with the 3D-Ising value in the range close to the critical point. The experimental results of the coexistence curves have also been analyzed to examine the Wegner correction terms and the behavior of the diameter of the coexistence curves.

用折射率法和不同角度的光散射法测量了苯甲腈+正辛烷二元体系在临界温度附近的液-液共存曲线和一相区不同温度下的渗透压缩系数及关联长度，得到与共存曲线相关的临界指数β，与渗透压缩系数相关的的临界指数γ和与关联长度相关的的临界指数γ，发现在近临界点体系符合3D-Ising模型，讨论了共存曲线直径和Wagner校正项。

By means of variable substitution, it is found that the differential equation of motion is a Bessel equation. Based on the equation, responses of elastic displacement, velocity, acceleration of skip and cable tension close to sheave were deduced.

通过变量代换，发现箕斗运动微分方程是可求解的Bessel方程，从而得到了装载过程中箕斗的弹性位移、速度、加速度和天轮处钢丝绳的张力的解析表达式。

Referring to Bessel function,a calculation equation of temperature distribution in the surface and heat-flow density of wax deposit layer in the laminar flow is deduced,as well as temperature distribution inside.

通过对试验环道上测试段相关数据的测试，对比分析测试段管壁有沉积物和无沉积物时测试段管壁内温度分布的不同表达式，根据能量方程建立了无量纲温度分布方程，利用贝赛尔函数推导出原油在层流状态下沉积层表面温度分布、沉积层热流密度、油流温度分布等相关温度场的计算公式，为研究蜡沉积规律，定性分析管路结蜡层厚度和制定合理的清管方案奠定了理论基础。

Moreover, the quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using Bessel equation, Bessel function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用Bessel方程、Bessel函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

Analysis compared with different expression of temperature distribution on deposition and non-deposition in the tested inside-wall of pipeline,a nondimensional temperature function was founded to get a conclusion according to energy equation.Referring to Bessel function,a calculation equation of temperature distribution in the surface and heat-flow density of wax deposit layer in the laminar flow is deduced,as well as temperature distribution inside.This method provides a theoretic basis on the theory law o...

通过对试验环道上测试段相关数据的测试，对比分析测试段管壁有沉积物和无沉积物时测试段管壁内温度分布的不同表达式，根据能量方程建立了无量纲温度分布方程，利用贝赛尔函数推导出原油在层流状态下沉积层表面温度分布、沉积层热流密度、油流温度分布等相关温度场的计算公式，为研究蜡沉积规律，定性分析管路结蜡层厚度和制定合理的清管方案奠定了理论基础。

The quadrature formula about surface integral on any quadrilateral element is deduced by means of isoparametric transformation and bilinear interpolation.

通过对三维有界区域的边界曲面作四边形网格剖分，用有限元方法处理高斯公式中的曲面积分，由等参变换及双线性插值导出任意四边形单元上曲面积分的数值求积公式。

Result］Like most of C3 plants, the diurnal changes curve of NPR of Lonicera japonica Thunb. showed double peaks, but there were time difference in reaching the peak value between the study and previous ones. The responding mathematical model of NPR to photosynthetic valid radiation could be described by three mathematic functions , such as logarithm, linearity and binomial,but binomial function was more precise than the others. Light saturation point of Lonicera japonica Thunb. was figured out by binomial equation deduced in the study, and light saturation point was 1 086.3 μmol/(m2·s).

结果］与多数其他C3植物一样，金银花净光合速率日变化曲线呈双峰型，但在具体达到峰值的时间上与前人的结果有差异；金银花净光合速率对光合有效辐射的响应可用对数、线性、二项式3种数学函数来描述，但以二项式描述更确切；根据前面得到的二项式方程，计算出了金银花的光饱和点为1 086.3 μmol/(m2·s)。

A formula is deduced for the velocity induced by the vortices in two-dimensional shallow water flows and it is used to correct the Biot-Savart law.

建立了二维浅水流动的旋涡诱导速度公式，在已知旋涡场和胀量场时，由该表达式可确定流动速度场。

By the circular current symmetry characteristic,on the basis of Biot-Savart law,the expression of the whole-space magnetic induction intensity distribution was deduced in the spherical coordinates system.

在球坐标系中，由磁感应强度的计算公式毕奥-萨伐尔定律出发，利用圆电流磁场的对称性推导出全空间磁感应强度B分布公式，讨论了圆电流平面上和中心轴线上的磁场，应用C数值计算方法对全空间磁感应强度B公式求解，绘制出磁感应强度分布的主要区域及磁场的空间分布图，并对全空间磁感应强度B分布特点进行了讨论。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。