查询词典 arithmetic geometric mean

By studying double-power integral, the geometric invariants and geometric probability can studied from the perspective. In particular, more complicated geometric probability can be resolved with the double-power integral inequality.

通过对双弦幂积分的研究，可以从新的角度更进一步的研究几何不变量和凸几何，特别是双弦幂不等式能解决更为复杂的几何概率问题。

And geometric sequence corresponding series is called geometric progression, also known as geometric progression.

与等比数列相应的级数称为等比级数，又称几何级数。

The representation, estimation and computation of pointwise geometric constant are quantitative of pointwise geometric property and locally representation of geometric constant of space.

点态几何常数的表示、估计、计算是点态几何性质的量化，是空间几何常数的局部化。

ABSTRACT This dissertation describes our investigation of the geometric invariance and geometric invariant over projective transformation group, with the emphasis on the estimation of geometric constraints in image sequence and their applications in computer vision.

本论文介绍了作者对射影变换群上的几何不变性及几何不变量的研究，重点研究了序列图象间几何约束关系的估计及其在计算机视觉中的应用。

Recent studies on the geometric inequality for the n-dimensional simplex produce many important geometric inequalities;however,the study on the problem of the geometric inequality for the pedal simplex has been very few.

关于n维单形的几何不等式研究，近期建立了许多重要几何不等式，然而，关于垂足单形几何不等式研究还是比较少。

The research of the triangle geometric inequality has obtained very rich of the outcomes. This paper studies mainly some new linear triangle geometric inequalities, focusing on the linear geometric inequalities which are known, and it also includes some conjectures of the author.

三角形中的几何不等式研究已取得了非常丰富的成果，本文主要围绕已知的线性几何不等式进行研究，给出三角形中一些新的线性几何不等式，并包含了作者的某些猜想。

But it is not an easy task to directly extend the linear triangle geometric inequality to the n-simplex, thus there are many geometric inequalities worthing exploring and researching when we extend the linear geometric inequality to the tetrahedron and the n-simplex.

而三角形中的某些线性几何不等式直接推广到维单形并不是一件容易的事，因而在推广到四面体中乃至维单形时还有许多几何不等式值得探讨和研究。

An easy task to directly extend the linear triangle geometric inequality to the n-simplex, thus there are many geometric inequalities worthing exploring and researching when we extend the linear geometric inequality to the tetrahedron and the n-simplex.

而三角形中的某些线性几何不等式直接推广到维单形并不是一件容易的事，因而在推广到四面体中乃至维单形时还有许多几何不等式值得探讨和研究。

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

By amending the auxiliary geometric primitive,diagonal,of generalized tri-prism into tetrahedron ,the inconsistentness of data organization and of geometric primitive in real 3D geosciences modeling as well as the geometric interstice in spatial operation were solved.

将广义三棱柱的辅助几何要素———对角线———修正为四面体，解决了R3DGM中数据组织与几何要素的不一致和空间操作中的几何裂缝问题。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。