查询词典 trigonometric series

The application problems mainly focus on how to solve triangle, acute triangle function, equation, inequation, function and its image, the three-dimensional image of a solid; while such knowledge as, plane geometry, solid geometry, operation of number and equation, trigonometric function equation, permutation and combination, ordered series of numbers sum, probability has no application problems.

4高中物理学习中存在运用困难的数学知识主要有函数及其图像、解三角形、锐角三角函数、方程、不等式、求函数极值、几何体的三视图等，然而，平面几何、立体几何知识、数与式的运算、三角函数公式、排列组合、数列求和、概率等知识基本没有运用困难。

For some special cases, the paper gives some important identical theorems, and then establishes a valuable relation between the uniformly almost periodic functions and the trigonometric polynomials.Secondly, on the basis of the identical theorem, the paper investigates the Fourier series of the uniformly B2 almost periodic functions, and further proves that the series is unique.Thirdly, the paper discusses the Parseval equation of the uniformly B2 almost periodic functions, which establishes the relation between these functions and the coefficients of their Fourier series; and next investigates an important approximation theorem-Riesc-Fischer theorem, about the uniformly B2 almost periodic functions and the trigonometric polynomials.

并给出了特殊情况下的几个重要的恒同定理，将一致概周期函数与有限三角多项式联系起来；第二，在恒同定理的基础上，给出了一致B~2概周期函数的Fourier级数，并且级数是唯一的；第三，讨论了一致B~2概周期函数的Parseval方程，建立了函数与其Fourier级数的系数之间的联系；接着给出了关于一致B~2概周期函数和三角多项式之间的一个重要近似定理—Riesc-Fischer定理。

The algorithm is implemented by Fourier transform to obtain the real part and imaginary part of voltage based on digital sampling; and by trigonometric function to gain the sine or cosine dynamically; and then by Taylor series binomial of arc sine function to acquire the actual angle.

通过对数字化采样进行傅立叶变换获得电压的实部和虚部，动态地求取相位角的正弦值或余弦值，然后采用其反函数的泰勒级数二项式得到相位角度。

In order to solve the problem of chart projection transformation among all projections in shiphandling simulator,using the theory of power series spreading out and the method of trigonometric power series calculating back, a direct and reverse solving algorithm models of meridian arc length , and Gauss projection and Mercator projection transforming algorithm are introduced in this paper.

为了解决船舶操纵模拟器中不同投影方式海图的投影变换问题，应用幂级数展开理论和三角级数回求方法，给出了子午线弧长、等量纬度的直接正反解算法模型及高斯投影与墨卡托投影的相互转化算法。这些算法具有非常高的计算精度，避免了迭代运算，在船舶操纵模拟器中得到广泛应

The trigonometric series model based on the grade inputs of standard surface and the road surface random spectral excitations of autoregressive model based on engineering data were calculated under the normal distribution, the uniform distribution and the congruence white noise input.

在正态分布、均匀分布和同余法产生的零均值白噪声的输入下，计算了基于标准路面等级输入的三角级数模型，以及基于实测数据的自回归模型的路面随机谱激励。

On the basis of the method of separating variables of sucker rod wave equation,in combination the matrix recursion technology with trigonometric series recursion technology,a kind of quick arithmetic of pump dynamograph in failure diagnosis technology of sucker rod pumping system is proposed.

在抽油杆柱波动方程分离变量法的基础上，将矩阵递推技术与三角级数递推技术相结合，提出了有杆抽油系统故障诊断技术中计算泵功图的一种快速算法，这种方法不仅适用于单级抽油杆采油系统，同时也适用于不同材质、不同杆径抽油杆组成的抽油系统。

Considering the difference of earthquake intensities in both sides of the fault zone, artificial earthquake waves were simulated by trigonometric series method with different seismic peak accelerations. Then the seismic failure numerical analysis was carried out, the weak areas of seismic failure and their reasons were discussed particularly.

考虑到断裂带两侧地震强度的区别，采用三角级数法模拟人工地震波时选用不同的地震峰值加速度，然后对其进行地震破坏数值分析，重点讨论了桥梁地震破坏的薄弱部位及其破坏原因。

The purpose of this dissertation is to study a principle or method to describe and analyze the complex problems with high gradients arising from practical engineering. The main contents cover:1. The Bezier function was introduced to approximate high gradient functions, and a suitable coupled function was derived. Some detail numerical results show that the Bezier-based function is dominant over other combination function such as polynominal and trigonometric series, when to describe a high gradient function.

针对工程中大量存在的高梯度问题进行函数逼近的研究，引入Bezier函数对高梯度问题进行函数逼近，构成以Bezier函数为主的复合逼近函数，数值考证表明：与常规多项式插值函数的逼近及"幂／三角"复合函数的逼近相比，基于Bezier函数的逼近函数对高梯度问题的描述具有明显优势。

The principles and steps of the methods were introduced, the sixth grade track ire-gularity PSD of U.S. railway samples in time domain were achieved by simulating trigonometric series respectively, the samples were taken as the inputting disturbances of a vehicle-track vertical dynamics model, the time response courses of vehicle system we- re obtained by numerical simulation.

介绍了国内外常用的轨道不平顺数值模拟方法的模拟原理和步骤，采用计算机仿真程序模拟出三角级数法生成的美国六级轨道不平顺谱时域样本，并以此作为车辆一轨道垂向动力学模型的输入激励，通过数值仿真得出系统的时间响应历程。

The article simulates German high-speed track spectrum by MATLAB with trigonometric series method.The arch is modeled by ANSYS and make mode analysis.

考虑轨道不平顺对于车桥振动的影响，本文采用采用德国高速轨道谱，借助MATLAB应用三角级数法数值模拟德国低干扰垂向不平顺样本。

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。