强函数

By analyzing the temperature sections, stream functions and volume transport sections, the results show that the Antarctic Circumpolar Current is the strongest current in the world oceans, the Gulf Stream is stronger than the Kuroshio Current, and all of them are stronger in summer and weaker in winter.

从断面温度场、流函数分布和断面流量场等分析显示：南极绕极流堪称世界最强流，湾流整体强于黑潮，3者都具有夏季增强、冬季减弱的特点。

On the basic of NNLSE and the Poisson equation, using the Green function approach, we obtain the response function of the lead glass of finite-size, which is a strong nonlocal medium. Starting with the paraxial ray equation, we obtain the analytical solutions of the oscillation trajectory and period of the beam.

基于非局域非线性薛定谔方程以及热传导的泊松方程，采用格林函数法求出了强非局域介质铅玻璃的响应函数和临界功率；从光线方程出发得到了偏离材料中心入射的光束中心振荡轨迹以及周期的解析解。

Ray tracing theory is used to obtain phase and universal polynomial function of grating,and the coefficient of the polynomial function is optimized by genetic algorithm.

该方法根据光线追迹原理设计获得光栅相位和面形多项式函数通式，采用遗传算法优化面形多项式函数系数，分别设计了分束比为1：2×2、1：3×3、1：4×4的光栅分束器件；其衍射效率分别为81.83%、81.11%和74.01%；三个器件的光强均匀性分别达到0.02394、0.1838和0.1912，并用Matlab进行了仿真。

Ray tracing theory is used to obtain phase and universal polynomial function of grating, and the coefficient of the polynomial function is optimized by genetic algorithm. Several grating splitters with ratio 1:2×2, 1:3×3, 1:4×4 and diffraction efficiency 81.83%, 81.11% and 74.01% respectively are designed based on the method.

该方法根据光线追迹原理设计获得光栅相位和面形多项式函数通式，采用遗传算法优化面形多项式函数系数，分别设计了分束比为1：2×2、1：3×3、1：4×4的光栅分束器件；其衍射效率分别为81.83%、81.11%和74.01%；三个器件的光强均匀性分别达到0.02394、0.1838和0.1912，并用Matlab进行了仿真。

Samples in transitions of filters are optimized, which solves the problem that values obtained by look-up table method are not optimums. Aiming at prematureness appearing easily when GQA is used to optimize continuous functions with many peaks, IGQA is proposed.

针对遗传量子算法在优化连续多峰函数时易出现早熟的问题，提出一种改进遗传量子算法，典型函数测试表明，IGQA的性能优于GQA和其它几种遗传算法，收敛速度快，全局寻优能力强，能有效地克服早熟现象。

In order to get the formulation,the B3 spline function is used to distribute the contact problem,and numerical examples are analyzed to show the effectiveness of the method.

该方法充分利用了样条函数的解析和数值双重性及连续性强的优点来构造杆的位移函数，因此可推广应用于分析结构在冲击荷载下的动力响应问题。

The approximate solution to FPK equation isobtained. The joint probability density function and stationary mean out-crossing rateare investigated for ship nonlinear rolling subjected to additive white noise excitation.Melnikov function and phase space flux are applied to analyze highly nonlinear rolland capsizing of ships in the random seas. The variation of phase space flux withrespect to the characteristic wave period, significant wave height and damping ofships is studied.

求FPK方程近似解，研究白噪声激励下船舶非线性横摇运动的联合概率密度函数及稳定期望穿阈率，应用Melnikov函数和相空间转移率研究船舶在随机波浪中的强非线性横摇运动及其倾覆问题，考虑波浪特征周期、有义波高及船舶阻尼特性的变化规律，推导了船舶在随机横浪中的极限波高的表达式。

The results showed that the semivariogram of S.granarium was described by a spherical model,and indicated an aggregated special pattern ranging from 21 to 61cm. The semivariogram of Aphidius sp.could be also well described by spherical model, and indicated an aggregated spatial pattern ranging from 36 to 55cm.The amount and spatial distribution of Aphidius sp. w...

结果表明，不同时期麦二叉蚜种群的半变异函数曲线皆为球型，其空间格局为聚集型，变程在 2 1～6 1cm之间；蚜茧蜂种群的拟合半变异函数曲线也表现为球型，呈聚集空间格局，空间变程在 36～ 5 5cm之间，并与麦二叉蚜种群在数量和空间上有较强的追随关系，说明蚜茧蜂种群是麦二叉蚜种群的优势种天敌。

By using the definition of equidiffrential,a sufficient condition of commutating order in connection with the limit and derivation of a sequence of diffrential function is obtained.

利用等度可导的概念代替较强的函数列的导函数是一致收敛的条件，得到了极限运算与求导运算可以交换的一个充分条件。

Simulation results on benchmark functions show that the algorithm is well suitable for the complex function optimization. and has the characteristics of rapider convergence, more powerful global search capability and better stability.

标准函数仿真表明，该算法适合求解复杂函数优化问题，具有收敛速度快、全局搜索能力强和稳定性好的优点。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。