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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。

Hard plastics, hard rubbers, aluminum, tin, copper, soft steel, synthetic resins, fricative materials, etc.

硬塑料、硬橡胶，铝、锡、铜、软钢、合成树脂及磨擦材料等。

Model XHR-150 is used to for hardness test of plastics, hard rubbers, fricative materials, synthetic resins, Al-alloys, Sn-alloys hard papers.

产品用途： XHR-150型塑料洛氏硬度计适用于塑料、硬橡胶、摩擦材料、合成树脂、铝锡合金、硬纸板等材料的硬度测定。

Model OE-XHR-150 is used to for hardness test of plastics, hard rubbers, fricative materials, synthetic resins, Al-alloys, Sn-alloys hard papers.

产品用途： OE-XHR-150型塑料洛氏硬度计适用于塑料、硬橡胶、摩擦材料、合成树脂、铝锡合金、硬纸板等材料的硬度测定。

I know frontage is hard, but the triumphal target bestired me to work hard.

我知道前方的路是艰辛的，但胜利的果实在激励着我去拼搏。

The 31-year-old funnyman admits his bout of pancreatitis earlier this year was caused by "hard living, drinking hard and eating poorly", and the wedding of his pals has prompted him to be a more wholesome person.

现年31岁幽默的马修承认今年早些时候患有的胰腺炎是由"艰苦的生活，饮酒过多而且吃的太差"引起的，现在老友的婚礼促使他成为一个身心更健康的人。

It's hard not to rail futilely at the sky. We worked so hard to bring this together...

即使没有任何意义，我很难不对著天空咒骂：我们这麼努力，就差这麼一点点…。

In this paper, by using the method of expanding the hard-edge aperture function into a finite sum of complex Gaussian functions, the recurrence propagation expression for the propagation of partially coherent beams through a multiple apertured ABCD optical system is derived, which provides a fast algorithm for simulating the propagation of partially coherent beams through hard-aperture optics.

用有限个复高斯函数之和来逼近硬边光阑窗函数的方法，推导出了部分相干光通过多个硬边光阑ABCD光学系统传输的递推公式，提供了一种模拟部分相干光通过硬边光学系统传输的快速算法。

In order to study the propagation of partially coherent modified Bessel-Gaussian beams passing through a paraxial ABCD optical system with hard-edge aperture,the approximate analytical propagation equation was derived with the hard-edged aperture function expanded into a finite sum of complex Gaussian functions.

为了对部分相干修正贝塞尔－高斯光束通过有硬边光阑近轴4BCD光学系统的传输进行研究，采用将硬边光阑窗口函数展开为有限个复高斯函数之和的方法，得到了近似的解析传输公式。

Free, the effect of short time is not apparent, if search engine to change algorithm, the effort before you meets the likelihood all one's previous efforts wasted, this is a need long the job that unremitting tries hard, conscientious SEOer just is the most outstanding, believe a word sword sharp edge goes out from go through the mill, be engaged in SEO needing patience, attentive and hard-working.

免费的，短时间的效果不明显，如果搜索引擎改变算法的话，可能你之前的努力就会前功尽弃，这是一项需要长时间坚持不懈努力的工作，勤勤恳恳的SEOer才是最优秀的，相信一句话宝剑锋从磨砺出，从事SEO需要耐心，细心和吃苦耐劳。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。