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Necessary and sufficient conditions are given when n=m+1. Finally, we show that when n=m+1, all systems but a measure zero set are linearizable.

对输入数仅比系统维数少一的情况给出了充要条件，并证明了在此情况下几乎所有的系统均可线性化。

This paper brief introduce numerical method of algebraic equation,points out their shortcoming of missing multiple root and put forward one new kind of method--multiple derivation numerical method.

本文对通常代数方程的数值计算方法特点进行了简介并给以分析，指出了这些解法无法得出重根数的缺陷，提出了一种新的解决方法———多次求导数值计算法，使得数值计算法更加清晰、明了，且可得出重根数。

For the one-dimensional p-Laplacian with indefinite weights, four sequences of periodic and anti-periodic eigenvalues are given by introducing the rotation number function, and these eigenvalues are the endpoints of the preimage intervals of the rotation number function at nonnegative integers.

本文以带变号权函数和带变号势函数的一维p-Laplacian为基本模型，系统地阐述了特征值的旋转数方法、带正权Dirichlet特征值的最佳估计、特征值在正则和奇异渐近半线性方程的可解性中的应用、Fucik谱的旋转数方法以及Fucik谱在周期解的扭转性和多解性中的应用。

And we propose a general method for nonparametric tests with fuzzy data that can deal with trapezoid, triangular, and interval-valued data simultaneously.

另外对於模糊数的无母数检定我们提供了一个较为一般的方法，可以针对梯型、三角型，区间型的模糊样本同时进行处理。

Methods Get the norm of solution vector to the equivalent integral equation using numerical calculation in every sampling point at imaging region,and represent the norm with gray to reconstruct the scattering shape.

方法通过数值计算，求解等效积分方程，获取解向量在成像区域内每一采样点的范数，利用灰度表示其范数，重构散射体形状。

And in order to improve the performance of the networks, the network parameters such as normalized function, the number of the hidden layers and neurons in each hidden layer, learning rate and smoothing parameter are studied.

为了改善模型的预测精度，对归一化函数、隐层数、隐层神经元数及学习因子和惯性因子等模型结构方面的问题进行了探讨。

The NIRS quantitative analysis model was developed for measuring MBM content in fish meal by using partial least squares. The initial spectrum was pretreated by standard normalized variate, 7 point smoothind and one derivative respectively.

应用偏最小二乘定标方法，在8 678.10~4 250.34cm^(-1)波数范围内，采用变量标准化、7点平滑和一阶导数对光谱进行预处理，建立了鱼粉中肉骨粉含量的NIRS定量分析模型。

For the object threat assessment,in which the attribute values and the preference information are in the form of interval numbers,a new method of interval number is proposed.

针对决策者偏好信息和决策矩阵元素均为区间数的目标威胁评估问题，提出了一种新的区间数方法。

Continuous pictures per second the number of sheets 30, 15, 10, 5, 3, or a total of 6 kinds of automatic selection, but also every time the shutter of the pictures were taken to choose the number of sheets, a total of 30, 20, 10 or 5, four .

每秒连拍的照片张数有30， 15， 10， 5， 3或自动共6种选择，也可对每按一次快门的照片拍摄张数进行选择，共有30， 20， 10 或5四种。

Even after all the billions upon billions of dollars spent by the tobacco industry to obfuscate reality and bribe policymakers and the scientific community, the scientific community was able to study the issue and determine incontrovertibly the link between smoking cigarettes and lung cancer.

甚至当一切后，数十亿数十亿美元的花费，由烟草制品业，以模糊现实和行贿的决策者和科学界，科学界能够研究这一问题，并确定雄辩地之间的联系，抽烟和肺癌。

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。