曼切

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

In Riemannian manifolds, one studies Riemannian metric, covariant derivative, Riemannian connection, basic properties of the Riemann curvature tensor, curvature forms etc.

黎曼流形部分主要涉及黎曼度量，黎曼流形的定义，切向量场的协变微分，黎曼联络，黎曼几何的基本定理，曲率张量，曲率形式等概念和理论。

While it would be unimaginable for Chelsea to drub Roma 7-1, there is little to indicate that United have the resilience to win at Valencia. Despite the fact that tonight's meeting will not see either team at full strength, the respective philosophies should still be visible.4 b/ Q$ U3 A' m

如果是切尔西7：1屠宰罗马，你估计很难相信，当然如果换成曼联客场挑战瓦伦西亚的话，逆转获胜可能性也很小，不论今晚（注：指昨晚切尔西与曼联的联赛比赛）双方的较量会不会使出100％的力气，两队仍会展示各自不同的踢球风格。0 R+ a： C$ C t O4 r' X8 b； m

That time, in May 2008, caused a full-scale riot when Patrice Evra took on a Stamford Bridge groundsman and, in seeking to dampen the high spirits, a potential incendiary was placed again on Wednesday.

后穆里尼奥时代的切尔西也用过这样下三滥的手段。2008年5月，曼联球员埃弗拉和切尔西斯坦福桥的球场管理员起了争执，并引发球场骚乱，当时是球场管理员阻止曼联球员赛后在场上放松所致。

All four players appeared for United's first team during pre-season. Gibson, Simpson and Evans were heavily involved in the Club's South Africa tour, while Campbell scored the winning goal against Macclesfield at Moss Rose.

这四位球员在曼联的赛季前热身中都是主力，吉普森、辛普森和伊万斯自球队的南非之行当中扮演了十分重要的角色，坎贝尔则在对阵曼切斯菲尔德的比赛中攻入制胜进球。

Summer , American Geleize unite Man in 2005 having become privately all clubs , new one times increases the distance between prelude, after Manchester United 2 years has been inhibited by Chelsea, gas of restoring a winner, Chelsea having inhibited stop completely recaptures the England Super League cup across 4 years on England Super League matches of 2006-07 Saiji, time the tendency attacking in retaliation.

曼彻斯特联队是英格兰足坛的一支老牌劲旅，成立于1878年，在1902年改名为曼彻斯特联队，逐渐成为当时英国足坛最受人们欢迎的一支球队，因球队队服为红色，球迷们称之为&英国足坛的红魔&。2005年夏，美国人格雷泽将曼联变为了私人所有的俱乐部，一个新的时代拉开序幕，曼联在被切尔西压制了两年之后，重新恢复王者之气，在2006-07赛季的英超联赛上，完全压制住了切尔西反扑的势头，时隔四年夺回英超奖杯。

Louise Spitz of Manches, a London law firm, has observed an "exceptional" period since September.

伦敦律师事务所曼切斯的路易斯？皮茨提到一段从9月开始的&非常时期&。

Manches has taken on eight more divorce lawyers to cope with the extra work.

因为业务增加，曼切斯新招了八个离婚律师。

I've been working from home with some success. However, I think I'd have more success if it wasn't for the munchkin climbing my leg.

我能够成功在家完成工作，然而我相信如果曼切堪没有一直向我撒娇我会做得更成功。

In Doncaster, on loan Michael Mancienne is in the centre of the England Under-19s defence for a 1-0 win over Turkey.

曼切里尼在唐卡斯特为英格兰19岁以下国家队担当中卫，协助球队以1-0击败土耳其。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。