By means of trigonometrical progression method and the mainline track spectrum the sample function of the Chinese mainline railway track random geometric irregularity is simulated .

根据我国干线铁路轨道谱，采用 三角级数法模拟出干线铁路和准高速铁路轨道不平顺的样本函数；

In signal processing the differential Fourier of 12 samples algorithm was used the final stages of the special use Taylor to calculate the trigonometrical values . A very good exchange of signals collection and processing solution .

在信号处理上采用12点采样的差分傅立叶算法，最后利用泰勒级数计算特殊 角 的 三角 函数值，很好地解决了交流信号采集与处理问题。

Second there are no trigonometrical functions involved in the computation Which means good computational efficiency . But the trigonometrical functions of ordinary transition curves are of linear variation .

第二，在计算过程中不会 出现 三角函数，提高了计算效率。本文提出了一种角度为反余弦变化的反余弦一波正弦形缓和曲线，较 其它线形有 较 优的线形特征值。

Adopting this method could not only enable the adjustment method of trigonometrical levelling to be more accurate but also determine the vertical derivation together with the trigonometrical levelling .

采用这种平差方法不但能使现代 三角 高程测量平差的方法更加 严紧，从而提高 三角 高程测量的精度，而且使得在三角高程测量中内插垂线偏差成为可能。

The generalization of the trigonometrical association scheme and its design

三角形结合方案及其设计的拓广

In this peper the approximate deflection function ( x y ) and stress function F ( x y ) which consist of trigonometrical function and polynomial expression are selected . They satisfy part of boundary conditions .

给出由 三角函数和多项式组成的近似挠度函数w（x，y）和应力函数F（x，y），它们满足 矩形悬臂 板的部分边界条件。

In this paper the deflection and stress function in terms of trigonometrical function and polynomial expression are first proposed .

本文首先 选择 由 三角函数和多项式 组成的挠度 函数和应力函数。

Calculation of the electric potential and capacitance of a confocal elliptic capacitor by transform of inverse trigonometrical function of complex variable

用复变反 三角函数变换求共焦点椭 圆柱形电容器的电势及电容

Analysis on Radar Apparent Distance by Different Elevation Altitude THE COMPUTATION OF THE ZENITH DISTANCE AND SLOPE DISTANCE IN TRIGONOMETRICAL LEVELING

不同海拔高度时雷达视距分析 三角 高程测量中天顶和斜距的计算

Discussion on the precise formula for the trigonometrical height difference

三角高差严密公式的讨论

The Simple Calculation Method and Extension about a Class of Trigonometrical Function Integral

一类 三角 函数 有理 式积分计算的简便方法及推广

THE COMPUTATION OF THE ZENITH DISTANCE AND SLOPE DISTANCE IN TRIGONOMETRICAL LEVELING Reduction to Mark Center of Slope Distance and Vertical Angle on Vertical Plane

三角 高程测量中天顶和斜距的计算斜距垂直角在竖直面上的归心 改正

The purpose of the paper is to introduce a new technique of improving the laser alignment accuracy which is built on the basis that the laser beam drift can he described by trigonometrical functions under the certain conditions .

本文介绍一种提高激光准直精度的新技术。这种技术的基础是建立在激光束的漂移在一定的条件下可以 近似的用 三角函数去描述它。

The Unified Format of Fast Algorithm of Discrete Orthogonal Trigonometrical Transform

离散正交 三角变换快速算法的统一格式

A careful study of an IMO contest problem reveals that the problem can be transformed into a trigonometrical inequality which consists of the sides of a triangle and therefrom a few new inequalities are suggested .

本文通过对一道IMO竞赛题的探索和研究，发现了此竞赛题可转化为三角形三边长的 三角不等式，从而提出了一些新颖的不等式。

In the mathematical derivation the exponential Fourier series is used instead of the usual trigonometrical Fourier series and therefore a simpler result is achieved by using exponential operation and Kronecker function which facilitates the computer programming .

在推导中，采用指数形式的傅立叶级数代替传统的 三角函数形式的傅立叶级数，推导结果简洁，易于编程。

A Kind of Fast Algorithms of Discrete Orthogonal Trigonometrical Transform

一类离散正交 三角变换快速算法

A new view is put forward about the trigonometrical Function Rational Formula Indefinite Integral which is how to make the indefinite integral belong to all the continual periods .

指出 三角函数有理式不定积分中一个值得 商榷 的 地方，对计算结果给出一种 补充方法，使得不定积分为被 积 函数在连续的所有区间上的不定积分。

The flexural problems of orthotropic rectangular plate with four free edges rested on elastic foundation have been discussed in this paper and analyzed by the Fourier trigonometrical cosine series and double trigonometrical cosine series .

本文利用Fourier双 三角余弦级数和单三角余弦级数，讨论和分析了弹性地基上四边自由正交各向异性矩形板的弯曲问题。

To reduce the complexity of performance evaluation for missile systems a model based on analytic hierarchy process ( AHP ) and basic theory of the trigonometrical fuzzy number ( TFN ) was given and corresponding evaluation process was described in this paper .

针对导弹系统性能评价过程的复杂性，提出了一种基于层次分析法（AHP）和 三角模糊数（TFN）理论的模型，介绍了基于该模型的具体评价过程，并结合实例进行了应用分析。

Application of EDM Trigonometrical Leveling in Hydropower Engineering Discussion on the precise formula for the trigonometrical height difference

光电测距 三角 高程测量在水电工程中的应用三角高差严密公式的讨论

THE THIRD VIEW OF HEIGHTENING THE ACCURACY FOR TRIGONOMETRICAL LEVELLING & A new Adjustment Method of Intermediate Observation for Trigonometrical Levelling

三论 三角高程测量精度的提高新的三角高程测量间接平差法

On the Euler means of trigonometrical interpolation

关于 三角插值的Euler平均

On the approximation of functions of several variables by trigonometrical polynomials

多元函数的 三角多项式逼近

In this paper two new trigonometrical inequalities are given and applied to discuss triangle shapes .

给出两个新的 三角不等式，并将其应用于讨论 角 成 等比的三角形形状。

On Approximation by a kind of modified Lagrange trigonometrical interpolatory polynomials in l_p ~ ( 2 π) spaces

一类修正Lagrange 三角插值多项式在LP~（2π）中的逼近