同极的

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。

He found the little man on intimate terms with the idle waiter, who had been directing Master Georgey's attention to the different objects of interest in the High-street.

他发现小家伙同无所事事的侍者相处极好，侍者已经把乔治小少爷的注意力引向大街上各种有趣的东西上去了。

Based on the mechanical phenomena appeared in the experiments,put forward three suppositions about magnetic line of force named repellency among lines,least resistance route property and amount limit property when magnetic line of force penetrates ferromagnet.

依据实验中电磁、永磁两种元件同极间的力学现象，提出了关于磁力线性质的三个假说，认为磁力线具有线间斥性、最小阻径性和磁力线通过铁磁质时的容限性。

Detailed comparison and analysis of OOM to conventional structural method and data-oriented method are presented in this paper.

近10多年来，人们对OOM（object－orientedmethod）给予了极高的评价，它的起源可追溯到1967年提出的SIMULA语言，本文将OOM同传统的结构化方法、面向数据的设计法等作了对比与分析。

This kind of shunt with simple structure is used easily and potential applied in re-search of material and form of anode and cathode effecting on electron beam currents of v...

此同轴分流器结构简单，易于使用，在研究阴阳极的材料和形状对二极管束流的影响等方面有潜在的应用价值。

The dressing percentage, the chet and leg muscle percentage, the weiht of chest muscle the percentage of leg muscle, the net meat per- centage contrasted no significance with the same age and the same sex of these two chick...

各品种内500日龄的净肉率极显著高于90日龄；肌肉中蛋白质，脂肪含量也是500日龄母鸡高于90日龄同品种的公母鸡，而含水量则下降。谷氨酸的含量，武定鸡的公母分别是18.23％，17.23％；茶花鸡的公母是17.43％，19.07％；已报道的太和鸡是18.31％，17.65％，三者极为近似。赖氨酸武定鸡胸、腿肌分别为9.33％，9.45％；茶花鸡为8.94％，9.41％；太和鸡为8.84％，9.08％；武定高于太和鸡和茶花鸡。

There existed very significant positive correlations among the fruit cracking rate, cracking index and the contents of souble solids,total sugar,deoxidize sugar,fructose and sucrose and the activities of PPO,PAL;and very significant negative correlation among the fruit cracking rate,cracking index and the contents of protopectin and Ca.

果面碎裂裂果率、果面碎裂裂纹指数同苹果果实的可溶性固形物、总糖、还原糖、果糖、蔗糖均呈极显著的正相关；同PPO、PAL的酶活性也呈极显著的正相关；与果皮的果胶含量、Ca含量呈极显著的负相关。

A non-singular single integral mathematical model is adopted to calculate the external intermittent and alternative longitudinal magnetic field acquired by single axisymmetrical and cylindrical hollow coil t which is coaxial to electrode and excitated by a revisable pulsed current of square wave t in austenitic stainless steel GTA welding.

针对奥氏体不锈钢外加纵向磁场的气体保护钨极电弧焊接时，与电极同轴的单个轴对称空心圆柱线圈在双向脉冲矩形励磁电流作用下产生的间歇交变纵向磁场，采用无暇点单积分磁场的数学模型，对＊TAW焊接外加间歇交变纵向磁场进行了数值计算，该方法具有模型简单、计算速度快和精度高等优点并讨论了该间隙交变纵向磁场的分布、磁场的均匀性及其纵向分量与径向分量的比率等规律及其对焊接行为的影响，认为横磁分量将削弱GTAW外加纵向磁场的有利作用，影响磁控电弧的焊接质量

Retrahedrons O-Al4 and O-Fe4 exist in the Shandong sapphire, while other Tetrahedrons such as O-Al3Fe, O-Al2Fe2 and O-AlFe3 may also exist.

研究表明，山东蓝宝石中Fe主要是以Fe~(3+)的形式存在的；Fe含量的周期性变化主要表现为Fe~(3+)含量的周期性变化；而在蓝宝石中，Fe主要是以类质同象的形式替换Al而进入刚玉晶格的，在刚玉晶格中存在着O-Al_4，和O-Fe_4的结构格式，也极有可能存在着二者的几个过渡型分子结构如O-Al_3Fe，O-Al_2Fe_2及O-AlFe_3。

The native grasses and weeds, the scattered patches of gorse, contended with one another for the possession of the scanty surface soil; they fought against the droughts of summer, the frosts of winter, and the furious gales which swept with unbroken force, now from the Atlantic, and now from the North Sea, at all times of the year; they filled up, as they might, the gaps made in their ranks by all sorts of underground and overground animal ravagers.

土生土长的莽原莠草，散布遍生的金雀花丛，竞相占据那贫瘠的表层土壤。它们与盛夏的烈日骄阳作斗争，同隆冬的严霜沆砀相抗衡，直面从大西洋或北海不断扑来的疾风，四时代序，从未停歇。它们极尽可能地成列生长，以弥补天地生灵遗留的空隙。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新