余弦函数

By solving the SturmLiouville eigen-equation in the barycentric coordinate, the generalized sine and cosine functions in the triangular domain are constructed. Properties of these functions are systematically investigated by visualization and theoretical derivation.

本文通过求解重心坐标下的Sturm-Liouville特征方程，构造出了三角区域的广义正弦函数和广义余弦函数，并通过可视化与理论推导相结合的方法系统的研究了这两组函数的性质。

By solving the Sturm-Liouville eigen-equation in the barycentric coordinate, the generalized sine and cosine functions in the triangular domain are constructed. Properties of these functions are systematically investigated by visualization and theoretical derivation.

本文通过求解重心坐标下的Sturm-Liouville特征方程，构造出了三角区域的广义正弦函数和广义余弦函数，并通过可视化与理论推导相结合的方法系统的研究了这两组函数的性质。

The inverse function of that restricted cosine function is called the arccosine function.

被限定的余弦函数之反函数叫做反余弦函数。

Furthermore, we show that every generator of a nondegenerate distribution cosine function generates a regularized cosine function.

自然地 ，我们可以考虑一类退化型的分布余弦函数，并讨论该分布余弦函数与二阶 Cauchy问题、积分余弦函数及其其它类型余弦函数的关系。

In chapter 2, using the favorable characters of the function Q = ch{x - 1, we construct the hyperbolic cosine penalty function and algorithms and proved its convergence .

在第二章中，我们利用函数Q=ch-1良好的性质，提出一种用双曲余弦函数作罚项的双曲余弦罚函数及算法，证明了该罚函数和算法的合理性及迭代点列的收敛性。

In this paper we introduce the hyperbolic cosine function and construct the new hyperbolic cosine penalty function and algorithms, further more, we construct the new hyperbolic cosine multipier penalty function .

本文在传统形式的罚函数基础上引入双曲余弦函数做罚项，构造了新的对于一般约束优化问题的双曲余弦罚函数和求解迭代公式；进一步地，又提出了求解具有等式约束优化问题的双曲罚函数乘子法。

The parameter of the cosine function affects the center of time gravity of the cosine-Gauss pulse in a certain range, even for the cosine-Gauss pulse whose pulse width is longer than one optical oscillation period.

余弦函数的参量在一定取值范围内对余弦-高斯脉冲也有较大的影响，它可能导致几周期余弦-高斯脉冲的时间重心有较大的漂移。

The relations between the center of time gravity of the ultrashort cosine-Gauss pulse and the absolute phase, the parameter of the cosine function are studied.

河北科技大学经济管理学院，石家庄 050018研究了几周期超短余弦-高斯脉冲的时间重心与绝对相位以及与余弦函数参量之间的关系。

Tangent sine function with the function, structure and the cosine function linear structure, The results showed tangent curve smoothing function fitting, bending loss smaller, more optimization of the optical path.

正切函数与正弦函数、余弦函数结构以及直线结构进行比较，结果表明正切函数拟合曲线平滑，弯曲损耗较小，更优化了光路径。

The total of these two sorts of functions is called S-functions The indicial function, sinusoidal function, cosinusoidal function, hyperbolic sinusoidal function, hyperbolic cosinusoidal function, trigonometric function of n-order and hyperbolic function of n-order etch are all belong to S-functions.

指数函数、正弦函数、余弦函数、双曲正弦、双曲余弦、n阶三角函数和n阶双曲函数等。都是S－函数的特殊形式。文中证明了关于S－函数及其各阶导数的性质的三个定理。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。