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The reluctivity matrix is obtained by using the trigonometric function transformation and the form of coefficient matrix is simplified.

该方法利用递推公式进行三角函数的积化和差运算求取谐波平衡有限元算法中的磁阻矩阵，简化了方程组系数矩阵的形成。

The algorithm utilizes the rotating transformation theory of vector, and derives a mathematical expression of trigonometric function which has the interval monotonicity. By comparing the values of mathematical expressions, the sizes of the angles can be judged, this avoids the troublesome calculations of angles, diminishes errors and raises efficiency.The prototype of 3D reconstruction system uses the DXF file as the data source.

文中的算法采用矢量的旋转变换理论，通过计算各分支路径与当前路径之间的三角函数值，利用变换后的三角函数表达式的区间单调性，将角度值的比较转换为三角函数表达式值的比较，从而避免了繁琐的角度值计算，减少了误差，提高了执行效率。

By projecting a laser marker onto the object in the environment, such object therefore can be identified through trigonometric calculation. Finally, the color information of such object can be taken as the color model for tracking. This color model will be updated by the light source at each moment of sampling, which helps enhance the stability of detection system.

其侦测方式是以线式雷射光器在目标物上的投射及三角几何关系辨识环境中的目标物，最后再以此目标物的颜色资讯当作所要追踪的色彩模型，此色彩模型会随著每次取样时刻的光源而更新，可提高侦测系统的稳定性。

As an approximate method,with the trigonometric function,the simple pendulum dynamical equation is simplified,and the approximate formula for the period of simple pendulum movement is presented.Comparison is made between approximate formula and exac...

对近似公式和精确公式进行了对比，最后进行了数值计算，结果表明，所得到的单摆运动周期的近似公式在大多数情况下都与精确公式符合的很好。

These ways include the use of simultaneous equations, trigonometric functions and computer aided drawing software.

本文介绍了有直线和圆弧组成的零件轮廓的基点计算的有效方法，这些方法包括联立方程组法、三角函数法和计算机绘图软件法。

Trigonometric series is used to simulate stationary, non-stationary, Gaussian andnon-Gaussin stochastic processes by spectral representation in which the non-stationary stochastic processes are expressed as the product of determinate functionsand stationary stochastic processes.

结合随机变量的Monte Carlo模拟法，随机场的局部平均法与随机过程的三角级数模拟法，用均值、方差、相关长度及功率谱等，可有效地描述随机变量、随机场、随机过程，及同时具有场与过程随机的变量。

The computation on a sort of integrals of the product of spherical harmonics and trigonometric functions

采用二阶边界扰动原理，求取了用球谐函数表示的平衡装置静电场电势分布，从而推导出静电场干扰力矩公式。

In this paper, a sort of recursive formulas of spherical harmonics integrals, which often appear in the gravitational gradient harmonic analysis, are deduced according to the recursive formulas between every other order of spherical harmonics and the trigonometric functions＇properties. And the calculated formulas on the recursive initialization also are brought forward.

本文根据球谐函数的跨次递推公式和三角函数的性质，详细推导了在重力梯度调和分析中出现的一类球楷函数积分的跨次递推公式和递推初始值的计算公式。

In this paper,the following transformations are introduced in computer aided planar composition:sectorial transformation triangular transformation,trigonometric function/triangular wave transformation, madulation transformation and spherical mirror reflection transformation.

该文探讨和总结了在计算机辅助平面构成中的5种特殊变换：扇形变换、三角形变换、三角函数／三角波变换、调制变换、球面镜反射变换。

The sum of a series of trigonometric expressions; used in the analysis of periodic functions .

三角表达式级数之和，用在周期函数分析上。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。