查询词典 spherical coordinates

Based on the features of spherical geometry, the writer thinks thatit is an effective way for students to learn spherical geometry wellby "practising mathematics" themselves.

鉴于球面上的几何内容的特点，笔者认为使学生切身体会"做数学"是学好球面上的几何的有效途径。

Spherical geometry, spherical trigonometry , the English translation

球面几何学，球面三角学的英文翻译

Are spherical harmonics of the spherical angles ,(. Note that the function of this form satisfyNumber l.

证明在特殊的依赖关系下存在一类特殊解，其中，是关于球角，(的球谐函数（注意，此形式的函数满足数l。

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。

Using the properties of the harmonic function and the theories of the expansion of the spherical harmonics,the equivalence between Moritz analytical continuation and Bjerhammar s virtual spherical solution is proved according to the power series expanded form of the real number field function,the differences in meaning between the two solutions are analyzed.

利用调和函数的性质以及球谐函数展开理论，并根据实数域上函数的幂级数展开式证明了Moritz解析延拓解与Bjerhammar虚拟球面解的等价性，同时分析了两种解的内在区别。

The simulated climate fields were decomposed with the spherical harmonics function and the corresponding spectral analysis was made,thus the spherical harmonics feature of global 500 hPa height and the sea level pressure in several truncations was investigated and the field changes on doubling CO2 were analyzed too.

对模拟的气候场用球谐函数作波谱分析，得到了全球500hPa高度和海平面气压在不同截断时的波谱特征以及由CO2倍增(2×CO2)引起的流场变化。

Based on the recovered 3D shape, the "texture image" calibrated to a standard illumination is generated by spherical harmonics ratio image and finally the illumination independent 3D face is reconstructed completely. The proposed method combines the strength of statistical deformable model to describe the shape information and the compact representations of the illumination in spherical frequency space, and handles both the pose and illumination variation simultaneously.

基于此重建的3D形状，进而通过球面谐波商图像的方法估计输入图像的光照属性并提取输入图像的光照无关的纹理信息，从而将光照无关的3D人脸完全重构出来，生成输入人脸图像在标准姿态和光照条件下的虚拟视图，用于最终的分类识别，实现了对光照和姿态问题的同时处理。

The simplified spherical harmonics method is utilized to discrete the angular variables of Self-Adjoint Angular Flux neutron transport equation as spherical harmonics method has the dis-advantage of large amount of calculation.

针对球谐函数方法求解中子输运方程时计算量大的缺点，将简化球谐函数方法用于离散二阶自共轭中子输运方程的角度变量，同时应用有限元方法在非结构几何下进行空间离散，研究了简化球谐函数方法在SAAF方程中的应用。

According to the experimentation ,This article reviewed several algorithm("flood" and "snake","adaptive spherical image transform method","reference image","standard spherical gray level model method") for apple surface defect detection and gave an in-depth analysis of their ideas and experimen...

在实验的基础上，本文对几种缺陷检测算法("洪水法"和"蛇形法"、"自适应球形变换法"、"参考图像法"、"标准球体灰度模型法")的思路和实验结果进行了深入的分析和比较，并对缺陷检测中尚待解决的问题进行了阐述。

Radius variation of image beam waist due to spherical aberration, which varies with the position of objective beam waist, and optical system focus is analyzed with the form of curve. At last,a design example of optical system used for laser plume attenuation testing system is given to illustrate the effect of spherical aberration on the image beam waist.

本文还提出了在设计过程中存在的球差对激光束像方束腰的影响，对其进行了理论分析，并给出了数学模型，总结出高斯光束的像方束腰半径与物方束腰位置、光学系统焦距之间的关系，并对本光学系统的设计进行了验算。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切