manifold 雅思托福GRE专八

manifold intelligence.

多方面的智慧

a manifold traitor.

一个十足的叛徒

our manifold failings.

我们在各方面的损失

He has manifold talents.

他有多方面的才能。

maintain manifold links with...

和...有千丝万缕的关系

The City Council has a manifold plan to beautify the city.

市政府制定了一个美化城市的多重规化。

Goodness is simple,badness manifold.

善良单纯；邪恶复杂。

As an application, some nonexistence theorems of nonconstant stable harmonic maps from a Finsler manifold to a Riemannian manifold are given.

英： The first and second variation formulas of the energy functional for a nondegenerate map between Finsler manifolds is derived.

With the request of geometry modeling system and application of the concept about complexes algebraictopology in the field of industrial production , the theory of non-manifold model come into being.

工业产品几何造型技术的发展求,以及代数拓扑学复形等概念引入到几何造型中,因此产生了非流形几何造型理论。

In the paper,we discuss some properties of prolongation in which the voctor field X of the manifold M polongs to the Cotangent Bundle T *M,and the Prolongation of the Lie algebra of Lie groups.

章讨论了流形M上的向量场X在其余切丛T*M上的拓展的几个性质,并讨论了李群上李代数的拓展。

The main products are as follows, exhaust manifold, bent axle, camshaft, rubbing sassafras nestification, gearbox, support, flywheel, etc.

主产品有：排气歧管、曲轴、凸轮轴、摩擦嵌套、变速箱、支架、飞轮等。

Gas Engine Block, Engine Head, Bearing Cap, Turbo-charge Housing, Manifold Exhaust, Diesel Engine Parts, Slotware.

产品/Product：汽车发动机缸体、缸盖、轴承盖、涡轮增压器壳体、排汽歧管、柴油发动机铸件、槽盘。

The City Council has a manifold plan to beautify the city.

市政府制定了一个美化城市的多重规化。

The ministry of books is manifold.

书的用处很多。

He has manifold talents.

他有多方面的才能。

The main products are as follows, exhaust manifold, bent axle, camshaft, rubbing sassafras nestification, gearbox, support, flywheel, etc.

排气歧管、曲轴、凸轮轴、摩擦嵌套、变速箱、支架、飞轮等。

As an application, some nonexistence theorems of nonconstant stable harmonic maps from a Finsler manifold to a Riemannian manifold are given.

The first and second variation formulas of the energy functional for a nondegenerate map between Finsler manifolds is derived.