The program can automatically turn a system of equations that include triangle functions into polynomial system of equations in the analysis and synthesis of the mechanism , to eliminate and get the polynomial solutions of the original system of equations 该程序可将含三角函数的机构分析或综合方程组自动地变换成多项式方程组并对多项式方程组进行消元，得到原多项式方程组的多项式解。
To improve the accuracy of load forecasting , by use of residual error amendment forecasting model based on real number output and fitting residual error by trigonometric function , a fuzzy linear regression ? residual error amendment model is put forward 为了提高电力负荷预测技术的水平，作者以基于实数输出值的模糊回归分析及用三角函数拟合残差的方法，提出了预测电力负荷的模糊线性回归? ?残差修正预测模型。
This approach is called fas . this approach uses characteristics of trigonometric function , respectively computes the amplitude of fundamental component and inactive power current separates them by low pass filter and acquires and inactive power current 该方法利用三角函数的特性，对畸变电流中的基波成分和无功电流分量的振幅分别进行计算，然后经过低通滤波器把它们分离出来，最后得到基波有功和无功电流分量。
Since pixel - level contrapose pixel coordinate , trigonometric function must be used to translate polar coordinates to pixel coordinate when the curve is described by polar coordinate . so research is very little on algorithms for generating this sort of curve by now 由于逐点是针对象素坐标系而言，而对极坐标系下描述的曲线，在转换到象素坐标系时要用到三角函数运算，因此目前很少提到对极坐标曲线生成算法的研究。
After the chained conversion , the paper discuss controllable method of chained system , as a result , we rise the controllable method of triangle function input , which can employ triangle function input step by step to realize control every parameter of chained system . 完成链式变换后，本文研究了链式系统的控制方法，从而提出了三角函数输入控制方法，此方法运用分步三角函数输入控制，从而实现对链式系统各个变量的控制。
Finally a cordic arithmetic is introduced , it is a arithmetic easily implemented in silicon chip . based on this arithmetic , a trigonometric function generator is designed used fpga technology . this algorithm is good in increasing the velocity and precision when computing trigonometric function 并在此算法的基础上，采用fpga技术实现了一个三角函数发生器，经验证这种算法无论从节省硅片面积还是从提高计算速度、精度方面都有很好的性能。
( 2 ) by the jacobi elliptic function expansion method and computer symbolic systems ( maple , matlab ) , many exact periodic solutions of nonlinear wave equations can be obtained and these solutions can degenerate solitary wave solutions , shock wave solutions , trigonometric function solutions ( 2 )利用jacobi椭圆函数表示法和数学计算软件( maple ， matlab等) ，可以得到一类常系数非线性发展方程的双周期解，这些解能退化成孤立子解，冲击波解，三角函数解。
For fast computation of dynamic equations , a special operation unit is referred according to the computing structure of dynamic equations . the pipeline idea is used in this operation unit . there are a adder , a multiplier and a trigonometric function generator in it 在动力学方程的快速计算方面，根据动力学方程的计算结构提出一种可用于专门计算机器人动力学方程的运算单元，此运算单元采用流水线结构，其运算部分包括加法器、乘法器和一个三角函数发生器。
So , we propose another novel algorithm using the cubic spline interpolation along the relevant direction and computing weights by trigonometric function of the gradients . the algorithm also adopts the correlation between color channels . and it proved highly effective based on some tests 鉴于此,本文接着提出了一种基于三次样条函数在相关方向进行插值以及利用梯度的三角函数关系来计算相关性加权系数的混合型插值方案,并结合了考虑不同颜色通道间的相关耦合关系。
They not only inherit the advantages of bezier curves and b - spline curves , also can be used to represent straight lines precisely and some remarkable transcendental curves precisely , such as circular arc , ellipse , cardioids and twisted pair line etc . especially , the uniform t - b - spline curve of three degrees is smoother than b - spline curve and c - b - spline curve of the same order 此外由于它们还具有三角函数的优点，故既可以精确表示直线段、二次多项式曲线段又可以精确表示圆弧、椭圆弧等二次曲线以及心脏线、双纽线等超越曲线。特别地， 3次均匀t - b样条曲线曲面比同阶均匀b样条( c - b样条)曲线曲面具有更高的光滑度。
