二次函数

Several criteria are given for judging whether ideal class number of a realquadratic function field to be one.

研究了实二次函数域的理想类数为1的一些必要条件以及等价条件。

Conjugate direction algorithm is an important algorithm in the theory of optimization.

引言 在二次函数的最优化算法中，共轭方向算法是一种最有效的方法。

In terms of the minimum question of a positive definite quadratic function,a set of Newton directions in minimum points derived with an accurate single dimensional search are used to produce a set of conjugate direction ,and a proof of convergence is presented.

对正定二次函数极小问题，利用精确一维搜索所得极小点处的牛顿方向来生成一组共轭方向，并给出收敛性证明

If the method is applied to a convex quadratic function, conjugate directions are chosen with the goal of accelerating convergence.

直接目标是保证该方法应用于凸二次函数，选择共厄方向来加速收敛。

Secondly, it analyses and designs the network model and its nature by means of convex quadratic function.

摘 要：从给出供应链的费用结构和消费结构出发，在产销平衡和市场平衡的条件下，考虑制造商、销售商和消费者等多种因素，建立一类供应链平衡网络模型，并借助凸二次函数的性质研究这类问题的模型和性质，进行定量分析，设计有效的求解算法。

The quadratic function is a middle school algebra important content, has the rich connotation and the extension.

中文摘要：二次函数是中学代数的一个重要内容，具有丰富的内涵和外延。

I did a teaching experiment on solving the maximum and minimum value of quadratic function in one variable with two different teaching ways: asking questions and dialogue. These two periods are studied and analyzed here.

本人用提问与对话两种不同的教学方式对一元二次函数在闭区间上的最值这一数学内容进行了一次观察与分析的教学尝试，并对这两节课进行了个案研究与分析。

A necessary and sufficient condition is proved here for judging whetherthe ideal class group Hof a quadratic function field 〓has a cyclicsubgroup of order n for any given n.

给出了一般二次函数域的理想类群含有n阶循环子群的充分必要条件（其中〓是任意事先给定的正整数）。

A specialized quadratic function calculator from Implicit Softwar...

一款专业的二次函数计算器。

The matrix inhomogeneous eigenvalue problem is widely applied in mathematics and many other fields,for instance,the studies of the stability of solutions of linear differential equations and the stationary values of a second-degree polynomial on the unit sphere,and the constrained eigenvalue problem and so on.

矩阵非齐次特征值问题在数学和其他领域里有许多应用，如线性微分方程组解稳定性研究，球面上二次函数的稳定点求解及约束特征值问题等。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。