下降函数

Under some assumption conditions, we also developed trust region and affine scaling algorithm and potential reduction algorithm for convex programming problem with linear constraints.

然后在一定的假设条件下，对线性约束下的凸规划问题我们给出了相应的信赖域仿射尺度算法和势函数下降算法。

By weakening the premise of the convexity of the objective function required in paper[7], we prove the sufficient desent property and the global convergence with the strong Wolfe line search.

在第二章中，我们参照文献[7]中的方法，提出了一类与HS算法相关的共轭梯度算法，并减弱了文[7]中要求目标函数二阶连续可微且为凸的前提条件，采用强Wolfe线搜索，在较弱的条件下证明了这一类算法具有充分下降性和全局收敛性。

At the same time, we found that the GM(1,1) model itself is a decreasing function, so the prediction of the stock prices usually shows a downward trend.

同时发现，GM(1，1)预测模型本身是减函数，使得预测出的股价呈现下降趋势。

The yield increased as the ecapotranspiration,while it comes to a certain,the yield won't increase,it may decline. 2According to the non-full irrigation experimental datum of spring wheat and flax in Liangzhou and Gulang city of Shiyang River Basin,calculating the crop water deficiency sensitive index or coefficient by using crop water production function models of Jensen,Blank,Stewart and Minhas.

产量随着耗水量的增加而增加，当达到一定数值将不再增加，反而有下降的趋势。2 依据石羊河流域凉州和古浪春小麦和亚麻非充分灌溉试验资料，利用现有的Jensen 、Blank、Stewart 和Minhas 水分生产函数模型求解作物的缺水敏感指数。

The experimental results show that the electron multiplication process significantly influences the system MTF, compared with non-EM, especially at high EM gain.

实验结果表明，与无倍增时相比，倍增对系统调制传递函数的影响很大，尤其是在高倍增增益时，在Nyquist频率处，调制传递函数平均下降达30%。

To solve the problem, outbreeding strategy and dynamic fitness function strategy: outbreed and timely change standard of evaluating individuals were proposed to increase diversity and select excellent individuals; The experiments showed that the performance of traditional GEP is effectively improved by the combination of OBS and DFFS. The average fitness for the best individual is increased by 7%~14%, the maximal fitness is increased by over 7%, and the success rate is increased by over 30%.

提出了远缘繁殖策略和动态适应度函数策略，远亲繁殖并及时变换评估个体的标准，增加多样性并有利于选择优质个体；实验表明，将远缘繁殖和动态适应度函数策略结合，有效地改善了传统GEP的性能，进化代数平均下降达10%，平均最高适应度值提高7%~14%，最高适应度提高达7%以上，进化的成功率提高达30%以上。

The research of swelling dynamic behavior shows that the electrolytical ions in swelling media have a great effect on the swelling behavior of PVA gel and the equilibrium swelling ratio in physiological saline is less than that in aqueous media.

溶胀特性研究显示，PVA水凝胶在生理盆水中的平衡溶胀比小于其在蒸馏水中的平衡溶胀比，凝胶的平衡溶胀比随浓度和冷冻－解冻次数的增加而下降，其下降趋势满足幂函数的变化规律；水凝胶的溶胀过程符合溶胀动力学方程。

When a special function resolver is loaded, the additional air gap magnetomotive force due to the load current in output winding reduces the function pricision greatly.

当特种函数旋转变压器带负载时，输出绕组中出现的电流在气隙中建立的附加磁势，引起磁场分布畸变，导致函数精度显著下降。

This principle eradicates local minima or invalid solutions caused by consistent reduction of the energy function via the usual gradient descent method.

利用这一理论，可以克服由于梯度下降法所导致的网络能量函数总是下降，从而使网络陷入局部极小值或不可行解的现象。

According to contraction theory, this algorithm is based on gradient descent method, which adopts linear average as performance evaluation of value function. So the iterative process of value function becomes a convergent process to a fixed value.

该算法基于梯度下降法，根据压缩映射原理，通过采用线性平均法作为值函数估计的性能衡量标准，把值函数估计的迭代过程转化为一个收敛于不动点的过程。

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。