余弦函数

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

Use in VB API Dynamic drawing, including sine, cosine, tangent, Cotangent, can also modify the code-defined functions.

在VB中利用API实现动态画图，包括正弦，余弦，正切，余切等，也可以通过修改代码自定义函数。

By analysis of a mathematic model of aircraft magnetic field, the airplane magnetic field model was expressed by the direction cosine and its product terms.

通过分析飞机磁场数学模型，将飞机磁场表示成方向余弦与其乘积项的函数。

A complete set of image processing and recognition of the source code This is our internal development and use of a image processing code, includes the most image processing and recognition processing function : as template transform, Image smoothing, sharpening, edge recognition, image filtering and fuzzy images, image inverse filtering, fuzzy image noise increases, Wiener filter images, linear transformation, gray tensile, histogram equalization, images corrosion, expansive images, image open operation, GIF correct coding, zooming, rotation, fast Fourier transform, discrete cosine transform, and so on and so forth, that is too many.

详细说明：一套完整的图像处理与识别的源码这是我们内部开发与使用的一套图像处理代码，里面包括了大部分图像处理与识别处理的的函数：像模板变换，图像的平滑、锐化、边缘识别、图像中值滤波、图像模糊、图像逆滤波、图像模糊加噪、图像维纳滤波、线性变换、灰度拉伸、直方图均衡、图像腐蚀、图像膨胀、图像开运算、GIF确码编码、缩放、旋转、快速付立叶变换、离散余弦变换等等，等等，太多了。

For example, using the raised consine roll off function as the system pulse response, the feasiblity and effectiveness on the interpolation formula has been certified by theoretical and numerical analysis. The computer simulation result on 16-QAM signal is given.

以系统脉冲响应为升余弦滚降函数为例，利用理论分析和数值分析的方法验证了插值公式的可行性和有效性，并给出了16-QAM信号的计算机仿真结果。

To demonstrate the effects of vibrating intensity parameter and model parameter, the curve of the shear stress distribution was made according to different parameter.

结果表明：在环形流道中，流体的应力是半径和时间的函数，剪切应力与时间成余弦关系。

In chapter five,we study a general cosine－forced stochastic system and derive the equilibrium time correlation function using the perturbation theory and the linear response theory respectively.

在第五章中，我们分别用微扰理论和线性相关理论研究了有余弦周期信号输入的随机系统的动力学量的平衡时间关联函数。

This method uses what Professor Salton has proposed as the vector spacial model to express text as an invisible vector in hyperspherical space.It makes use of certain pre-disposal methods (reduce the dimensions,clustering thesaurus,filtering out old-fashioned words) to reduce the dimensions.It usescosines to measure the degree of similaritybetween texts and uses the total similarity as the target convergence vector.It produces clustered results by using restricted iteratives to achieve partial perfection.

该算法用Salton教授提出的向量空间模型把文本表示成不可视的超球向量空间的一个向量，采用一定的预处理手段(降维、同义词归并、停用词过滤)完成维数约减，使用余弦相似度度量文本之间的相似度，并选择总凝聚度作为目标收敛函数，通过有限次的迭代达到局部最优，输出聚类结果。

Through Hilbert transform, a signal's plane trace can be get. There are two frequencies in the tested signal, so the signal's plane trace may be looked as the track of the out pole's end when two poles rotate around parallel axles. Using the knowledge of motion synthesis in theory mechanics, a formula to describing the change of plane trace's step length and angle for two-frequency be get. So we may prolongate the tested signal's plane trace from the echo's initial arriving moment, and get a certain length of the signal's prolongation.

通过Hilbert变换可得到测试信号的平面迹线，测试信号中只含有两个频率成分，视为双频信号，双频信号的平面迹线相当于两连杆绕平行轴转动时外杆杆端迹线，利用理论力学中运动合成和瞬心知识，推导出双频信号平面迹线步长平方满足余弦线性复合函数，而迹线转角可视为线性变化，据此可对回波到来之前的测试信号平面迹线作延长，得到一定长度的信号延展段，信号延展段与实测段作差可得到一次、二次回波的第一个波峰值。

An Integer Wavelet Transform with parameters is firstly constructed and the transmutative Rijndael code is used to construct a Hash function, and then a visible digital watermark algorithm based on the Integer Wavelet Translation with parameters, Discrete Cosine Transform and the Transmutative Rijndael encryption algorithm are presented.

构造出了带参数的整数小波，应用变型的Rijndael密码构造出了Hash函数。提出了一种基于带参数整数小波变换、离散余弦变换及变型Rijndael加密算法的可见数字水印算法。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。