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Global estimation of modal parameters using fraction orthogonal polynomials possesses higher precision than the general rational fraction orthogonal polynomials algorithm.

整体正交多项式识别算法利用整体最小二乘方法来辨识结构模态参数，识别精度一般高于普通意义上的正交多项式拟合算法。

A bstract: This paper focus on virtual instrument design of modal parameters identification with curve fitting theory based on rational fraction orthogonal polynomials. Using Forsythe orthogonal polynomials solves the coefficient equation instead of normal power polynomials in order to decrease the morbidity of it, making the orders of coefficient equation reduce to half and increasing computing efficiency.

本文基于有理分式正交多项式曲线拟合理论对振动系统的模态参数辨识进行了虚拟仪器的设计，为了减少系数矩阵的病态，采用 Forsythe 正交多项式代替普通的幂多项式进行求解，使系数矩阵阶次降低近一半，提高了运算速度。

In the following, complex modal reanalysis methods for topological optimization of structures are studied.

本文接着研究了结构拓扑优化的复模态重分析方法。

Corn seeds' perimeter, area, circular, rectangularity, and elongation——these five modal characteristic parameters have a decisive role on maize seeds' quality classification.

玉米种子的周长、面积、圆形度、矩形度、伸长度五项形态特征参数对玉米种子的质量分级有着决定性的作用。

A modal theory and recursion RTCM algorithm for gratings of deep grooves and arbitrary profile.

大深度任意剖面形状光栅的模式理论和RTCM递推算法。

Anderson holds that deontic logic can be reduced to alethic modal logic by the reduction formula Op口

安德森认为依靠归约公式Op □能把道义逻辑归约为真值模态逻辑。

In view of those, the degree of membership of field measuring data to regression line is proposed in this dissertation. Furthermore, the linear regression modal with fuzzy weight is developed.

有鉴于此，提出了实测数据对回归直线的隶属度的计算公式，在此基础上，建立了以该隶属度为权重的模糊加权线性回归模型。

In the process of solving, poles are obtained from recurrent formula, modal vector are obtained from superposition formula not residuary.

2对板结构做试验验证推导公式的有效性，应用振动台采取4点激振试验，并且获得部分相关的输入数据。

The multi-degree-freedom equivalent model of INS bracket is also given and analyzed to improve the analysis precision. The dynamic response spectrum of this model is achieved by modal analysis and spectrum theory. The numeric formulas of time-domain response are deduced by residue theorem.

对于惯导减振支架的多自由度系统等效分析模型，则运用模态叠加法和谱分析理论得到响应的功率谱，根据留数定理推导了系统时域加速度动力响应的数值计算公式。

In the analysis resonant frequency, modal loss factor and harmonic response of structures are studied.

在分析中分别针对结构的固有频率、模态损耗因子以及简谐响应进行了研究。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。