| 1. | Taylor series expansion
泰勒级数展开 |
| 2. | The optimal systems geometry is given . secondly , by expanding the equation in a taylor series about a reference point , the linearity least square algorithm is presented
根据定位方程非线性的特点，应用泰勒级数展开，提出了多基地声呐定位的线性化最小二乘定位优化算法。 |
| 3. | Different score - spaces have their own physical meanings inspired by taylor series expansion . experiments reveal that the new spaces are useful for classification . experiments of the classic models compare the performances of different
并从泰勒级数展开式的角度论述了各类品质向量的物理意义的不同,最后通过实验验证了扩展品质空间有利于分类性能的改善。 |
| 4. | The explicit method of calculating surges in throttled , simple and downriver throttled and simple surge tanks has been derived for the first time by use of thaler series expansion from the basic formulation of surge tank . 2
根据调压室的基本微分方程，利用泰勒级数展开方法首次推导出了阻抗式、简单式、尾水阻抗式和简单式调压室水位波动的显式计算公式。 |
| 5. | To begin with , the influence that plane scanning error has on the far field is analyzed and the upper boundary of the error is formulated . and then this paper uses the taylor series expansion to correct the probe positioning error in antenna near - field measurement
根据平面波谱理论，推导了平面扫描位置误差对远场的影响，给出了位置误差上界的数学表达式，并用泰勒级数展开法对其进行了修正。 |
| 6. | And then , a state equation is set up by the relationship among the input and output characteristic vectors as well as the state matrices ( sms ) . the non - zero element in the sms characteristic is taken according to taylor series expansion , which is a transfer function of the basic mechanical unit
再次，阐述了状态变换矩阵的形成过程，通过泰勒级数展开，提取其非零元素的特征，并按照传递特征值对基本变换单元加以分类，归纳了状态变换矩阵的性质。 |
| 7. | In past , the processing mode as to the electro - hydraulic servo - system nonlinear problem is that using the tai ' s lux formula obtains the part linear pattern behind the series expansion at the stable state work - point . this kind of linear model is feasible to this system the frequency is low as well as the system work - point frequently isn ’ t changing in great scope
过去对于非线性问题的处理方式是在稳态工作点处进行泰勒级数展开后得到局部线性化模型,这种线性化模型对于一些频宽不太高、系统的工作点变化范围不太大的系统是可行的。 |
| 8. | Here the theoretical model of vav system is set up for the first time . besides , the transfer function matrix of the 5 inputs and the 5 outputs is established by combining the theoretical analysis with the data analysis of experiment . then the non - linear mathematical model of the five loops is delt with in two method : in the first method , taylor progression is applied near the working point of the system in order to make the volume of change between the output and the input become similar to a linear relationship . in the second mothed , the non - linear mathematical model realize linear by means of being devided into sections . the study shows that both the motheds are effective in dealing with the non - linear issue in vav system
本文首次建立了变风量空调系统的机理模型，并通过采用机理分析和实验数据分析相结合的方法，建立了所研究的五输入、五输出的变风量空调系统的传递函数矩阵，并对这五个控制回路的被控对象的非线性数学模型，采用两种方法加以处理：第一种方法是在系统的工作点附近进行泰勒级数展开，使输出的变化量与输入的变化量之间呈现近似的线性关系；第二种方法是将非线性的数学模型进行分段线性化，即用分段线性化来逼近非线性化的模型。 |
| 9. | The theoretic calculating method of the maximum and the minimum water level in the differential surge tank has been derived firstly . also the explicit method of calculating surges in the differential surge tank has been deduced firstly by use of thaler series expansion . the calculating method of section of the well and the effective impedance hole in the surge tank has been gived
根据差动式调压室的基本微分方程，首次推导出了差动式调压室涌浪幅值的理论计算公式；并同样利用泰勒级数展开方法推导出了差动式调压室水位波动的显式计算式；导出了差动式调压室大井面积和有效阻抗孔面积的计算方法。 |
| 10. | Following is our main work and important conclusions : ( 1 ) the question of energy spectrum hardening . we used the klein - nishina ' s differential scatter formula , meanwhile utilize the thaler progression to spread out , and neglected the high - power , and then we deduced a theoretical formula of correction of energy spectrum hardening
其主要工作和结论如下： （ 1 ）对x射线能谱硬化问题，把klein - nishina微分散射方程，利用泰勒级数展开，在忽略高次项的情形下，近似地推导出了能谱硬化修正公式。 |
