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In dual Brunn-Minkowski theory, we study the properties of the dual harmonic quer-massintegrals systematically and establish some inequalities for the dual harmonic quer-massintegrals, such as the Minkowski inequality, the Brunn-Minkowski inequality, the Blaschke-Santalo inequality and the Bieberbach inequality. We establish the dual Brunn-Minkowski inequality for dual affine quermassintegrals. Recently we learned that Gardner have independently proved it by a different method. The polar body of a convex body is an important object in the context of convex geometry. Hence, after we studied the intersection bodies, it is natural to consider the inequalities for their polar bodies.

在对偶Brunn-Minkowski理论中,我们引入了对偶调和均质积分概念,系统的研究了它的性质,并建立对偶调和均质积分的Brunn-Minkowski不等式,Blaschke-Santalo型不等式和Bieberbach不等式;接着我们建立了对偶仿射均质积分的对偶Brunn-Minkowski不等式,最近我们得知这个不等式被Gardner用另外的方式证明;凸体的极体是凸几何中一个重要概(来源:2525ABf8C论文网www.abclunwen.com)念,既然相交体和投影体有对偶关系,因此在研究完投影体的极体之后自然要研究相交体的极体。

In late Tang period,influenced by west Asian great cutting Dao,each 'country' is more powerful because of this shape.Because it's hard to find iron and ironstone,a lot of sword was needed to re-smelted.Moreover the former shape didn't reach the new war condition,so it's abandoned and there's little exsited(only inscribed in Tang poems and Tang drawings).

二、在唐末五代十国时期,受中西亚大砍刀的影响,各"国"因为此刀型比原有唐刀更加结实有力,先后装备这种刀型,加上当时各"国"贸易流通受政治影响极大,铁和铁矿石很难买到,故须将大量的刀剑重新回炉炼制此新刀型,加上原有刀型无法适应新的战争条件,导致此刀型被废弃,故现存实物极少(只在唐诗、唐画中有描绘)。

The frequencies of genotypes were significantly different among the lines (P.001), with BB genotype primarily existing in HU-Yang,++ genotype in Chinese Merino monotocous line, and B+ genotype in Chinnese Merino multiparous lines.

等位基因型频率在各品种间差异极显著(P.001),在湖羊中以BB基因型为主,在中国美利奴单胎品系中以++基因型为主,而在中国美利奴肉用和毛用多胎品系中以B+基因型为主。

As to Balilla erect panicle type,(the same subject for the following 11-16), the curvature of panicle neck had a very significantly positive correlation with panicle length, neck panicle length, neck panicle internode length, the secondary internode length, leaf length and leaf sheath length, and had an opposite correlation with leaf width and density of seed setting.

对巴利拉型直立穗型品种来说(以下11~16同此所指),颈穗弯曲度与穗长、穗颈长、穗颈节间长、倒2节间长、叶长、叶鞘长呈极显著正相关(倒3叶呈显著正相关),与叶宽、着粒密度呈极显著负相关。

There was a significant difference between the two groups (P.01). Conclusion There was a significant difference in scleral tissue at the posterior and anterior poles in the normal eye.

结果 在100 kD处可见Ⅰ型胶原的蛋白条带,正常人眼后极部Ⅰ型胶原蛋白的表达水平明显低于前极部,差异有显著统计学意义(P.01)。

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In chapter 4 and 5, we have applied the high density ITO nanorods on GaN/InGaN sapphire-based LEDs and Vertical-Injection LEDs, respectively.

而在论文的第四章第五章,我们将高密度分布的氧化铟锡奈米柱薄膜应用在氮化镓蓝宝石基板型发光二极体和垂直注入型发光二极体上。

Asian summer monsoon, one of the earth′s most energetic weather events, undoubtedly plays a key role in the variability of the general circulation. In this paper, through both calculation for the correlation coefficients between the monsoon indices and the geopotential height and the anomalous composite of the strong or weak ASM pentads, it is shown that the activity of the ASM...

本文通过夏季风指数与北半球环流的相关计算以及强、弱季风候北半球环流异常合成的分析发现,亚洲夏季风的活动会激发北半球夏季大气环流遥相关型,其主要相关中心均出现在季风区的下游地区,即从亚洲经太平洋至北美洲一带,除了表现出正负中心交替出现的波列状结构外,该遥相关型在太平洋地区还表现为一对南北向的偶极子异常型,我们将这一遥相关型称为亚洲太平洋北美型

Research results show that under AC voltage the voltage distribution of Y-type insulator strings is extremely non-uniform and the voltage distribution curve of Y-type insulator string is similar to that of I-Type suspension insulator string; under DC voltage the voltage distribution of Y-type insulator string is also extremely non-uniform, the voltage undertaken by the insulators at the conductor side of Y-type insulator string is higher than that undertaken by other insulators of the same string, and as a whole the voltage distribution trend is that the voltage undertaken by the insulators at both ends of the Y-type insulator string is higher than the voltage undertaken by the insulators at the middle of the same insulator string.

研究结果表明:在交流电压下,Y型绝缘子串的电压分布极不均匀,其电压分布曲线和交流悬垂I串类似;在直流电压下,Y型绝缘子串的电压分布极不均匀,绝缘子串导线侧绝缘子分担电压高于其它绝缘子,总体上呈现导线侧和杆塔侧两端高、中间低的分布趋势。

Research results show that under AC voltage the voltage distribution of Y-type insulator strings is extremely non-uniform and the voltage distribution curve of Y-type insulator string is si...

研究结果表明:在交流电压下,Y型绝缘子串的电压分布极不均匀,其电压分布曲线和交流悬垂I串类似;在直流电压下,Y型绝缘子串的电压分布极不均匀,绝缘子串导线侧绝缘子分担电压高于其它绝缘子,总体上呈现导线侧和杆塔侧两端高、中间低的分布趋势。

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推荐网络例句

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候,里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色,卵在发育96h后卵基本全部孵化。

There was a conflict between plebs and patricians in ancient Rome in 494BC.

在公元前494年,罗马发生了一次平民反对贵族的斗争。