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The foundations of support vector machines are introduced. Four mathematics models of support vector classifications including linearly hard margin SVM, linearly soft margin SVM, non- linearly hard margin SVM and non-linearly soft margin SVM are discussed.

摘 要：介绍了支持向量机的基本思想，依据是否引入核函数，是否具有惩罚因子，支持向量分类算法被分为线性分界面硬间隔、线性分界面软间隔、非线性分界面硬间隔和非线性分界面软间隔四类，并讨论了它们的数学模型。

The Company is a design and manufacture of hydraulic machinery for many years of professional production enterprises, the company strong technical force, advanced production equipment, detection means complete, professional production of Q43 series of metal shears, Y81 series hydraulic metal balers, Y82 series non-metallic balers, Y83 series of scrap metal and machine, YZJ Series steel slitting machine, Y32 series of vertical four-post Hydraulic Press, Y63 series of city garbage compressor and other non-standard products.

本公司是一个具有设计制造液压机械多年历史的专业生产企业，公司技术力量雄厚，生产设备先进，检测手段齐全，专业生产Q43系列金属剪切机，Y81系列液压金属打包机，Y82系列非金属打包机，Y83系列金属屑并机，YZJ系列钢板纵剪机，Y32系列立式四柱液压机，Y63系列城市垃圾压缩机及其它非标产品。

Secondly, a rule of the choice of step-length is presented for a non-quadratic objective function of n variables, according to the rule we prove that the Gradient Method has local n-step quadratic convergence rate for a non-quadratic function under certain conditions.

其次，对于n个变量的非二次目标函数也提出了一个步长选取的准则，并在此准则下证明了当目标函数满足一定的条件时，梯度法具有局部n-步二阶收敛速度。

Operation is the main therapeutic method to non-invasive fungous sinusitis. FESS is an effective measure with mini-tresis vulnus. It is an ideal method of operation in treatment of non-invasive fungous sinusitis.

手术治疗是非侵袭型真菌性鼻窦炎主要治疗方法，FESS是一种有效、微创的首选治疗手段，是一种较理想的治疗方法。

Defective economic manis defined as fuzzy-headed rational man and he pursuefor benefit not only economic benefit but also non-economic benefit.Then he purchases not onlygoods in physical form but also goods in non-physical form such as national defence through taxpayment.

为了将许多传统意义上的非经济因素纳入经济学的研究范畴，本文提出了非物化商品的概念，从而扩大了商品的范围，使得我们对"有缺陷的经济人"追求的经济利益和非经济利益能够综合起来一起考虑，完成了作为"有缺陷的经济人"的消费者的行为模式分析。

Thinking runs across two points, but it must be the non-relation and the non-thinking between the two points. This is exactly the general topology of thinking conceived by Gilles Deleuze.

思想穿越於两点之间，但却又必然是这两点间的非关系与非思想，这便是德勒兹所提供的思想一般拓朴学。

Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. Finally, we will employ the Minkowskis support function to construct a new kind of non-circular smooth constant breadth curves in order to attack some open problems on the constant width curves for example, whether there is a non-circular polynomial curve of constant width, etc.

其次，对双曲平面上的曲线引入平均测地曲率的概念，并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系，其目的是为了将双曲平面上曲线的性质与欧氏平面中曲线的性质作一些对比；最后，我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线，其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线？

Firstly, the formulation of geometrical non-linear finite element is deduced for analyzing cable-membrane structure in the paper. The judgments of cable slack and membrane fold, solution and convergence of non-linear equations are given.

本文首先推导了索膜结构几何非线性分析的有限元基本方程，并且给出了判断索单元松弛和膜单元褶皱的准则、非线性有限元方程组的解法及其收敛判定。

And in the FEM both non-linear constitutive law of CFST and geometrically non-linear influence was considered, which is of practically value and veracity.

该方法考虑了结构的几何非线性和钢管混凝土组合材料的非线性本构关系，具有一定的准确性和实用价值。

Since the seminal work of Coase,however ,it has been recognized that in practice,although facilities may be provided by local or central government,these goods and services seldom exhibit the strict economic features of a public good;they are lagerly neither non-rival （for example,public parks get congested and fire-services can easily be over-extended）,nor are they non-excludable （whilst it is easy to stop people getting into a public park, fire services in the past were regularly only provided to those who paid the companies fees）.

不过，自从科斯的巨大影响著作面世后，已被公认的是，虽然设施是由地方或中央政府所提供，但在实践中，这些物品与服务很少显示一个公共物品严格的经济特点；它们多数不是非竞争性的（比如，公园的拥挤和消防服务的过度扩展），也不是非排他性的（阻止公众进入公园不难，同时，过去的消防服务时常只为缴费者提供服务）。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。