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Some of the oldest open problems in mathematics relate to the abundancy index of a number. Are there infinitely many perfect numbers? Does there exist an odd perfect number? Does there exist an odd multiply perfect number? Such questions have been considered for well over two millennia by the likes of Euclid, Fermat, Descartes, Mersenne, Legendre, and Euler.

暑期的数学研究已渐渐步入正轨,今天上午和导师讨论的时候提出了第一个conjecture,说是虽然6和12的倍数的abundancy index比较高,但是如果把两个相邻的数字相乘,他们乘积的abundancy index总体来说会甚至更高。

The coastal precipoces of the west are almost 610m high in Slieve League and higher on Achill Island,where it is possible to look down 183m into the water.

西部的斯里夫里格海岸上的峭壁几乎有610米高,而在阿奇尔岛上的还要更高一些,因而在阿奇尔岛上往悬崖边向下看的时候能看到下方183米处的海面。

Inside these sacred symbols are inscribed upon alchemically altered golden plates which line the Ark of Grace, an actual physical object designed by the Hierarchy to ground higher consciousness to the Earth.

这些神圣的符号里面隐藏着炼金术变化后的金版,是按格雷斯方舟排列顺序记下的,一个真实的物质身体就产生了,是通过高层次到地面更高的意识到地球这样的过程产生的。

While commercial degree of AlN is not high today.

现代科学技术的飞速发展对所用材料的性能提出了更高的要求,AlN陶瓷具有高的热导率、可靠的电绝缘性、低的介电常数和介电损耗、无毒以及与硅相匹配的热膨胀系数等一系列优良特性,在许多高技术领域具有十分广阔的应用前景。

Similarly, if the strong shear, which could suppress all the scattering in the quiescent two phase region, stopped, the follow-up phase separation also displayed characteristics of anisotropism and relaxation, In this dissertation, the transposed"butterfly'and"streakpattern were observed for the first time within the shear-history-influenced phase separation, which is found closely relevant to the anisotropical relaxation behavior of macromolecules. 5. The phase separation kinetics of PS/PVME under oscillatory shear was further studied on the base of that done under simple shear. It is found that, under specific temperature and strain amplitude, the occurrence of phase separation is strongly contingent on oscillatory frequency and only intermediate frequency could effectively induce phase separation; If all considered oscillatory shear could stimulate phase separation, a fixed frequency can maintain specific most probable phase size and higher frequency yields smaller phase, which makes a higher elasticity but weaker stress relaxation; Furthermore, higher frequency can produces stronger compulsory oscillation on the MPPS but won't change the mean of the MPPS. Under given frequency and strain amplitude, the phase separation kinetics dramatically depends on the phase angle of oscillation and the phase separation corresponding to different phase angle follows different dynamical process.

在简单剪切场下相分离动力学研究的基础上进一步对振动剪切场下PS/PVME的相分离动力力学进行了尝试性的研究,发现:在一定温度和振幅条件下,相分离的发生强烈的依赖于振动频率,只有中等频率的振动剪切才能有效地促进相分离的发生;在都能使相分离发生的前提下,一定频率的剪切能够使体系维持一定的最可几相尺寸,较高频率的剪切导致体系形成的相区尺寸较小,因而体系的弹性效应较强而应力松弛效应较弱;同时,更高频率的剪切对最可几相尺寸的强迫振动效应越强,但不会使最可几相尺寸的平均值发生改变;在一定的振幅和频率条件下,相分离的动力学过程会强烈地依赖于相位角,不同相位角对应的相分离遵循不同的动力学过程但机理一样。

With the progress of science and technology, especially the increasing might of anti-tank weapons and the naissance of special type weapons, the higher requirements for protective performance of tank armors are put forward, which demand the superior antibullet performance as well as the properties of light weight, high maneuverability, antifragment, antiradiation etc.

随著科学技术的发展,尤其是反坦克武器威力的日益增强与特种武器的出现,对坦克装甲车辆的防护性能提出了更高的要求,不仅要具备优良的抗弹性能,而且还要具有轻量化、高机动性、防碎片、防核辐射、防探测和防生物化学武器的能力。

Araceae companies rely on the Branch progress, and continuously improve customer satisfaction as the goal, through technical and management of continuous improvement and innovation, continually to a higher goal, be determined to colleagues in all sectors with the help of a high and new medical equipment Biological products and the new force.

天南星公司依靠科进步,不断提高顾客满意度为目标,通过技术与管理的持续改进和革新,不断地向更高的目标迈进,立志在各界同仁的帮助下成为高、新医用器材和生物制品的生力军。

Not quite as the same as Barolo, Barbaressco is less powerful but more elegant and supple than Barolo. Thus, it is also said that Barbaressco is a ferminine version of Barolo.

与巴罗洛葡萄酒不同,巴巴拉斯高葡萄酒的酒精度低一些,口感更优雅、柔顺,因此,有人说,巴巴拉斯高葡萄酒是巴罗洛葡萄酒的女性版。

Used squared eancroid method for CCD image subdivided locating,discussed on squared cancroid method,and compared it with traditional centroid method, Gauss curvefitting method , and polynomial interpolation method.

介绍了激光三角测距传感器的基本工作原理和激光光斑成像噪声处理的主要方法,将平方加权质心法应用于激光在CCD中成像的细分定位,并与传统质心法、多项式插值法和高斯曲线拟合法进行了较为系统的比较;通过实验表明,平方加权质心法是一种较为理想的细分定位方法,不仅简单、易于实现,而且具有更高的定位精度以及抗噪声的能力。

Some scholars believe that the basis of Chinese social and zoological environment is much weaker than that of Chinese industrialization and citification, so the high speed of citification should not be the goal of city development.

有学者认为,比中国工业化、城市化基础更薄弱的是中国的社会、生态环境,因而高城市化率、高城市化发展速度不应是中国城市化发展的目标。

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Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车,和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特,那个是爱朗。

Articulate the aims, objectives and key aspects of a strategic business plan.

明确的宗旨,目标和重点战略业务计划。