导函数

At present, many known results are obtained only on one dimensional functional space, and the research on high dimensional space is little, only the continuous solutions are discussed on RN, neither the differentiate solutions on RN nor the solutions on abstract space and manifold.

在一维情形下，所涉及的函数通常具有较好的性质比如单调性，逆映射导数的LipschitZ性(在研究光滑解时通常需考虑)等，而第il页摘要高维空间上函数则不具有这些好性质，因此，讨论高维空间上的迭代方程要求在方法上作一些改进和突破。

In which denotes the th derivatives of with respect to is called an ordinary differential equation of order .

在一个方程中，如果未知量是一个函数，且方程中含有这个函数的导数，则称此方程为微分方程。

The probability function is definitely a derivative of the Boltzmann probability distribution function.

函数的概率绝对是一个波尔兹曼概率分布函数的导数。

But the projection used in gradient projection method is an orthogonal projection which does not contain the second derivative information of objective and constrained functions,thus the convergence rate of gradient projection method is not contented.

但是，梯度投影法所采用的投影是正交投影，不包含目标函数和约束函数的二阶导数信息·因而；收敛速度不太令人满意。

The computation of projection matrix is mostly considered for the choice of basis functions.

而对于各种连续可导的基函数，其重建精度大致相当，基函数的选取应重点考虑其投影矩阵计算的难易程度。

This paper discusses the connection of one step or two step right derivative and protruding property of a function.

研究了函数的一阶及二阶右导数与函数凸性的关系，推广了数学分析中的有关结果。

The existence of solution is studied for a class of second - order periodic boundary value problems with first applying Leray - Schauder fixed point theorem, two exislence theorems are established.

考察了一类非线性项含有一阶导数的二阶周期边值问题的解的存在性，其中非线性项是Carathèodory函数。通过构造非线性项的高度函数并且利用Leray-Schauder不动点定理建立了两个存在定理。

Its outputs include the sigmoidal function to realize I-V nonlinear transfer and its derivative using the forward differential method.

它不仅产生S型函数，完成非线性I -V转换；还利用前向差分法，产生S型函数的导数。

We first characterize the groups in which all m∈cdq〓 contain at most 4 prime divisors; and then show the following: if any m∈cdq〓 is nth-power-free then the derived length of solvable group G is bounded by a function f depended only on n; also if cdq〓 has k different p-parts then the p-length of solvable group G is bounded by a function g depended only on k.

首先研究了非线性不可约特征标对应的特征标次数的商至多含有4个素因子的有限群结构。其次，我们证明：若每m∈cdq〓是n次方自由的，则有限可解群G的的导长及p-长都被仅依赖于n的函数所界定；若cdq〓中共有k个两两不同的p-部分，则有限可解群G的p-长能被仅依赖于k的函数所界定。

Taylor formula for the basic idea is to use polynomials to approximate a known function, and the coefficients of the polynomial by the given function to determine the derivative , and this approach gives an effective estimate.

泰勒公式的基本思想是用多项式来逼近一个已知函数，而这个多项式的系数由给定函数的各阶导数确定，并对这种逼近给出有效地估计。

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。